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|'''Hydrocarbons'''
 
|'''Hydrocarbons'''
 
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| [http://stormwater.pca.state.mn.us/index.php/Phosphorus_credits_for_bioretention_systems_with_an_underdrain link to table]
 
| [http://stormwater.pca.state.mn.us/index.php/Phosphorus_credits_for_bioretention_systems_with_an_underdrain link to table]
 
| [http://stormwater.pca.state.mn.us/index.php/Phosphorus_credits_for_bioretention_systems_with_an_underdrain link to table]
 
| [http://stormwater.pca.state.mn.us/index.php/Phosphorus_credits_for_bioretention_systems_with_an_underdrain link to table]
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[[File:Pdf image.png|100px|thumb|left|alt=pdf image|<font size=3>[https://stormwater.pca.state.mn.us/index.php?title=File:Calculating_credits_for_tree_trenches_and_tree_boxes_-_Minnesota_Stormwater_Manual_May_2022.pdf Download pdf]</font size>]]
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[[File:Summary image.jpg|100px|left|thumb|alt=image|<font size=3>[https://stormwater.pca.state.mn.us/index.php?title=File:Credit_page_descriptions.mp4 Page video summary]</font size>]]
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[[File:Technical information page image.png|100px|left|alt=image]]
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{{alert|Models are often selected to calculate credits. The model selected depends on your objectives. For compliance with the Construction Stormwater permit, the model must be based on the assumption that an instantaneous volume is captured by the BMP.|alert-danger}}
  
[http://stormwater.pca.state.mn.us/index.php/Overview_of_stormwater_credits Credit] refers to the quantity of stormwater or pollutant reduction achieved either by an individual BMP or cumulatively with multiple BMPs. Stormwater credits are a tool for local stormwater authorities who are interested in  
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[[file:Check it out.png|200px|thumb|alt=image|<font size=3>
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*The tree interception credit has been updated. [https://stormwater.pca.state.mn.us/index.php?title=File:Tree_Performance_Memo.docx See the technical memo]</font size>]]
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{{alert|Trees can be an important tool for retention and detention of stormwater runoff. Trees provide additional benefits, including cleaner air, reduction of heat island effects, carbon sequestration, reduced noise pollution, reduced pavement maintenance needs, and cooler cars in shaded parking lots.|alert-success}}
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 +
[http://stormwater.pca.state.mn.us/index.php/Overview_of_stormwater_credits Credit] refers to the quantity of stormwater or pollutant reduction achieved either by an individual <span title="One of many different structural or non–structural methods used to treat runoff"> '''best management practice'''</span> (BMP) or cumulatively with multiple BMPs. Stormwater credits are a tool for local stormwater authorities who are interested in  
 
*providing incentives to site developers to encourage the [[Credits for Better Site design|preservation of natural areas and the reduction of the volume of stormwater]] runoff being conveyed to a best management practice (BMP);  
 
*providing incentives to site developers to encourage the [[Credits for Better Site design|preservation of natural areas and the reduction of the volume of stormwater]] runoff being conveyed to a best management practice (BMP);  
*complying with permit requirements, including antidegradation (see [http://stormwater.pca.state.mn.us/index.php/Construction_stormwater_permit]; [http://stormwater.pca.state.mn.us/index.php/MS4_General_Permit]);
+
*complying with permit requirements, including antidegradation (see [https://stormwater.pca.state.mn.us/index.php?title=Construction_stormwater_program Construction permit]; [https://stormwater.pca.state.mn.us/index.php?title=Stormwater_Program_for_Municipal_Separate_Storm_Sewer_Systems_(MS4) Municipal (MS4) permit]);
 
*meeting the [http://stormwater.pca.state.mn.us/index.php/Performance_goals_for_new_development,_re-development_and_linear_projects MIDS performance goal]; or  
 
*meeting the [http://stormwater.pca.state.mn.us/index.php/Performance_goals_for_new_development,_re-development_and_linear_projects MIDS performance goal]; or  
*meeting or complying with water quality objectives, including [[Total Maximum Daily Loads (TMDLs)|Total Maximum Daily Load]] (TMDL) Wasteload Allocations (WLAs).
+
*meeting or complying with water quality objectives, including <span title="The amount of a pollutant from both point and nonpoint sources that a waterbody can receive and still meet water quality standards"> [https://stormwater.pca.state.mn.us/index.php?title=Total_Maximum_Daily_Loads_(TMDLs) '''total maximum daily load''']</span> (TMDL) <span title="The portion of a receiving water's assimilative capacity that is allocated to one of its existing or future point sources of pollution"> '''wasteload allocations'''</span> (WLAs).
This page provides a discussion of how tree trench/tree box practices can achieve stormwater credits. Tree systems with and without underdrains are both discussed, with separate sections for each type of system as appropriate.
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This page provides a discussion of how tree trench/tree box practices can achieve stormwater credits. [[Trees|Tree systems]] with and without [[Glossary#U|underdrains]] are both discussed, with separate sections for each type of system as appropriate.
  
 
==Overview==
 
==Overview==
Tree trenches and tree boxes are specialized bioretention practices.  They are therefore terrestrial-based (up-land as opposed to wetland) water quality and water quantity control process. Tree systems consist of an engineered soil layer designed to treat stormwater runoff via filtration through plant and soil media, evapotranspiration from trees, or through infiltration into underlying soil. Pretreatment is REQUIRED for all bioretention facilities, including tree-based systems, to settle particulates before entering the BMP. Tree practices may be built with or without an underdrain. Other common components may include a stone aggregate layer to allow for increased retention storage and an impermeable liner on the bottom or sides of the facility if located near buildings, subgrade utilities, or in karst formations.
+
Tree trenches and tree boxes are specialized <span title="Bioretention is a terrestrial-based (up-land as opposed to wetland) water quality and water quantity control process. Bioretention employs a simplistic, site-integrated design that provides opportunity for runoff infiltration, filtration, storage, and water uptake by vegetation. Bioretention areas are suitable stormwater treatment practices for all land uses, as long as the contributing drainage area is appropriate for the size of the facility. Common bioretention opportunities include landscaping islands, cul-de-sacs, parking lot margins, commercial setbacks, open space, rooftop drainage and street-scapes (i.e., between the curb and sidewalk). Bioretention, when designed with an underdrain and liner, is also a good design option for treating Potential stormwater hotspots. Bioretention is extremely versatile because of its ability to be incorporated into landscaped areas. The versatility of the practice also allows for bioretention areas to be frequently employed as stormwater retrofits."> '''bioretention practices'''</span> practices.  They are therefore terrestrial-based (up-land as opposed to wetland) water quality and water quantity control process. Tree systems consist of an <span title="Engineered media is a mixture of sand, fines (silt, clay), and organic matter utilized in stormwater practices, most frequently in bioretention practices. The media is typically designed to have a rapid infiltration rate, attenuate pollutants, and allow for plant growth."> [https://stormwater.pca.state.mn.us/index.php?title=Design_criteria_for_bioretention#Materials_specifications_-_filter_media '''engineered soil media''']</span> designed to treat stormwater runoff via <span title="Filtration Best Management Practices (BMPs) treat urban stormwater runoff as it flows through a filtering medium, such as sand or an organic material. They are generally used on small drainage areas (5 acres or less) and are primarily designed for pollutant removal. They are effective at removing total suspended solids (TSS), particulate phosphorus, metals, and most organics. They are less effective for soluble pollutants such as dissolved phosphorus, chloride, and nitrate."> [https://stormwater.pca.state.mn.us/index.php?title=Filtration '''filtration''']</span> through plant and soil media, <span title="Loss of water to the atmosphere as a result of the joint processes of evaporation and transpiration through vegetation"> '''evapotranspiration'''</span> from trees, or through <span title="Infiltration Best Management Practices (BMPs) treat urban stormwater runoff as it flows through a filtering medium and into underlying soil, where it may eventually percolate into groundwater. The filtering media is typically coarse-textured and may contain organic material, as in the case of bioinfiltration BMPs."> [https://stormwater.pca.state.mn.us/index.php?title=Stormwater_infiltration_Best_Management_Practices '''infiltration''']</span> into underlying soil. *<span title="Pretreatment reduces maintenance and prolongs the lifespan of structural stormwater BMPs by removing trash, debris, organic materials, coarse sediments, and associated pollutants prior to entering structural stormwater BMPs. Implementing pretreatment devices also improves aesthetics by capturing debris in focused or hidden areas. Pretreatment practices include settling devices, screens, and pretreatment vegetated filter strips."> [https://stormwater.pca.state.mn.us/index.php?title=Pretreatment '''Pretreatment''']</span> is REQUIRED for all bioretention facilities, including tree-based systems, to settle particulates before entering the BMP. Tree practices may be built with or without an <span title="An underground drain or trench with openings through which the water may percolate from the soil or ground above"> '''underdrain'''</span>. Other common components may include a stone aggregate layer to allow for increased retention storage and an <span title="Impermeable means not allowing something, such as water, to pass through. Some materials considered impermeable may actually allow water to pass through at very slow rates, such as 10(-8) cm/sec."> '''impermeable'''</span> liner on the bottom or sides of the facility if located near buildings, subgrade utilities, or in <span title="Karst is a landscape formed by the dissolution of a layer or layers of soluble bedrock. The bedrock is usually carbonate rock such as limestone or dolomite but the dissolution has also been documented in weathering resistant rock, such as quartz. The dissolution of the rocks occurs due to the reaction of the rock with acidic water. Rainfall is already slightly acidic due to the absorption of carbon dioxide (CO2), and becomes more so as it passes through the subsurface and picks up even more CO2. Cracks and fissures form as the runoff passes through the subsurface and reacts with the rocks. These cracks and fissures grow, creating larger passages, caves, and may even form sinkholes as more and more acidic water infiltrates into the subsurface."> [https://stormwater.pca.state.mn.us/index.php?title=Karst '''Karst''']</span> formations.
  
 
===Pollutant removal mechanisms===
 
===Pollutant removal mechanisms===
Like other bioretention practices, tree trenches and tree boxes have high nutrient and pollutant removal efficiencies ([http://www.marc.org/Environment/Water-Resources/Local-Government-Resources/Stormwater-Best-Management-Practices Mid-America Regional Council] and American Public Works Association [https://www.leawood.org/public%20works/PDF/APWA%20BMP%20Manual.pdf Manual of Best Management Practice BMPs for Stormwater Quality], 2012).  Tree practices provide pollutant removal and volume reduction through filtration, evaporation, infiltration, transpiration, biological and microbiological uptake, and soil adsorption; the extent of these benefits is highly dependent on site specific conditions and design. In addition to phosphorus and total suspended solids (TSS), which are discussed in greater detail below, tree practices treat a wide variety of [[Calculating credits for tree trenches and tree boxes#Other pollutants|other pollutants]].
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[[File:Schematic of pollutant reductions tree trench with underdrain.jpg|300px|thumb|alt=schematic of pollutant reductions from tree trench with an underdrain BMP|<font size=3>Schematic illustrating how pollutant reductions (TSS, dissolved and particulate P) are calculated for a tree trench system-tree box.</font size>]]
  
Removal of phosphorus is dependent on the engineered media. Media mixes with high organic matter content typically leach phosphorus and can therefore contribute to water quality degradation. The Manual provides a detailed discussion of  [[Design criteria for bioretention#Materials specifications - filter media|media mixes]], including information on phosphorus retention.
+
Like other bioretention practices, tree trenches and tree boxes have high nutrient and pollutant removal efficiencies (Mid-America Regional Council and American Public Works Association Manual of Best Management Practice BMPs for Stormwater Quality, 2012).  Tree practices provide pollutant removal and volume reduction through filtration, evaporation, infiltration, transpiration, biological and microbiological uptake, and soil adsorption; the extent of these benefits is highly dependent on site specific conditions and design. In addition to phosphorus and total suspended solids (TSS), which are discussed in greater detail below, tree practices treat a wide variety of [[Calculating credits for tree trenches and tree boxes#Other pollutants|other pollutants]].
 +
 
 +
Removal of phosphorus is dependent on the [http://stormwater.pca.state.mn.us/index.php/Design_criteria_for_bioretention#Materials_specifications_-_filter_media engineered media]. Media mixes with high organic matter content typically leach phosphorus and can therefore contribute to water quality degradation. The Manual provides a detailed discussion of  [[Design criteria for bioretention#Materials specifications - filter media|media mixes]], including information on phosphorus retention.
  
 
===Location in the treatment train===
 
===Location in the treatment train===
[[Using the treatment train approach to BMP selection|Stormwater treatment trains]] are multiple Best Management Practice (BMPs) that work together to minimize the volume of stormwater runoff, remove pollutants, and reduce the rate of stormwater runoff being discharged to Minnesota wetlands, lakes and streams. Under the Treatment Train approach, stormwater management begins with simple methods that prevent pollution from accumulating on the land surface,  followed by methods that minimize the volume of runoff generated, and is completed by BMPs that reduce the pollutant concentration and/or volume  of stormwater runoff.  Tree trenches and tree boxes can be incorporated anywhere in the stormwater treatment train but are most often located in upland areas of the treatment train. The strategic distribution of tree BMPs help control runoff close to the source where it is generated.  
+
Stormwater <span title="Multiple BMPs that work together to remove pollutants utilizing combinations of hydraulic, physical, biological, and chemical methods"> [https://stormwater.pca.state.mn.us/index.php?title=Using_the_treatment_train_approach_to_BMP_selection '''treatment trains''']</span> are multiple <span title="One of many different structural or non–structural methods used to treat runoff"> '''best management practices'''</span> (BMPs) that work together to minimize the volume of stormwater runoff, remove pollutants, and reduce the rate of stormwater runoff being discharged to Minnesota wetlands, lakes and streams. Tree trenches and tree boxes can be incorporated anywhere in the stormwater treatment train but are most often located in upland areas of the treatment train. The strategic distribution of tree BMPs help control runoff close to the source where it is generated.
  
 
==Methodology for calculating credits==
 
==Methodology for calculating credits==
 
This section describes the basic concepts and equations used to calculate credits for volume, Total Suspended Solids (TSS) and Total Phosphorus (TP). [[Calculating credits for tree trenches and tree boxes#Methods for calculating credits|Specific methods for calculating credits]] are discussed later in this article.
 
This section describes the basic concepts and equations used to calculate credits for volume, Total Suspended Solids (TSS) and Total Phosphorus (TP). [[Calculating credits for tree trenches and tree boxes#Methods for calculating credits|Specific methods for calculating credits]] are discussed later in this article.
  
Tree practices generate credits for volume, Total Suspended Solids (TSS) and Total Phosphorus (TP). Practices with underdrains do not substantially reduce the volume of runoff but may qualify for a partial volume credit as a result of evapotranspiration, infiltration occurring through the sidewalls above the underdrain, and infiltration below the underdrain piping. Tree practices are effective at reducing concentrations of other pollutants including nitrogen, metals, bacteria, and hydrocarbons. This article does not provide information on calculating credits for pollutants other than TSS and TP, but references are provided that may be useful for [[Calculating credits for tree trenches and tree boxes#Other pollutants|calculating credits]] for other pollutants.
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Tree practices generate credits for volume, TSS, and TP. Practices with underdrains do not substantially reduce the volume of runoff but may qualify for a partial volume credit as a result of evapotranspiration, infiltration occurring through the sidewalls above the underdrain, and infiltration below the underdrain piping. Tree practices are effective at reducing concentrations of other pollutants including nitrogen, metals, bacteria, and hydrocarbons. This article does not provide information on calculating credits for pollutants other than TSS and TP, but references are provided that may be useful for [[Calculating credits for tree trenches and tree boxes#Other pollutants|calculating credits]] for other pollutants.
  
 
===Assumptions and approach===
 
===Assumptions and approach===
 
In developing the credit calculations, it is assumed the tree practice is properly designed, constructed, and maintained in accordance with the Minnesota Stormwater Manual. If any of these assumptions is not valid, the BMP may not qualify for credits or credits should be reduced based on reduced ability of the BMP to achieve volume or pollutant reductions. For guidance on design, construction, and maintenance, see the appropriate article within the [[Trees|tree]] section of the Manual.
 
In developing the credit calculations, it is assumed the tree practice is properly designed, constructed, and maintained in accordance with the Minnesota Stormwater Manual. If any of these assumptions is not valid, the BMP may not qualify for credits or credits should be reduced based on reduced ability of the BMP to achieve volume or pollutant reductions. For guidance on design, construction, and maintenance, see the appropriate article within the [[Trees|tree]] section of the Manual.
  
In the following discussion, the water quality volume (V<sub>WQ</sub>) is delivered instantaneously to the BMP. The V<sub>WQ</sub> is stored within the filter media. The V<sub>WQ</sub> can vary depending on the stormwater management objective(s). For construction stormwater, V<sub>WQ</sub> is 1 inch off new impervious surface. For MIDS, V<sub>WQ</sub> is 1.1 inches.
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{{alert|Pretreatment is required for all filtration and infiltration practices|alert-danger}}
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In the following discussion, the <span title="The volume of water that is treated by a BMP."> [https://stormwater.pca.state.mn.us/index.php?title=Water_quality_criteria '''Water Quality Volume''']</span> (V<sub>WQ</sub>) is delivered as an <span title="The maximum volume of water that can be retained by a stormwater practice (bmp) if the water was instantaneously added to the practice. It equals the depth of the practice times the average area of the practice. For some bmps (e.g. bioretention, infiltration trenches and basins, swales with check dams), the volume is the water stored or retained above the media, while for other practices (e.g. permeable pavement, tree trenches) the volume is the water stored or retained within the media."> '''instantaneous volume'''</span> to the BMP. The V<sub>WQ</sub> is stored within the filter media. The V<sub>WQ</sub> can vary depending on the stormwater management objective(s). For construction stormwater, V<sub>WQ</sub> is 1 inch times the new impervious surface area. For [https://stormwater.pca.state.mn.us/index.php?title=Minimal_Impact_Design_Standards MIDS], V<sub>WQ</sub> is 1.1 inches times the impervious surface area.
  
 
===Volume credit calculations - no underdrain===
 
===Volume credit calculations - no underdrain===
Volume credits are calculated based on the capacity of the BMP and its ability to permanently remove stormwater runoff via infiltration into the underlying soil, evapotranspiration (ET) from trees, and interception of rainfall by the tree canopy. The total volume credit, V in cubic feet, is given by
+
Volume credits are calculated based on the capacity of the BMP and its ability to permanently remove stormwater runoff via infiltration into the underlying soil, evapotranspiration (ET) from trees, and <span title="Interception refers to precipitation that does not reach the soil, but is instead intercepted by the leaves, branches of plants and the forest floor"> '''interception'''</span> of rainfall by the tree canopy. The total volume credit, V in cubic feet, is given by
  
<math> V = V_{inf}\ + V_{ET}\ + V_I </math>
+
<math> V = V_{inf_b}\ + V_{ET}\ + V_I </math>
  
 
where
 
where
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====Interception credit====
 
====Interception credit====
Water intercepted by a tree canopy may evaporate or be slowly released such that it does not contribute to stormwater runoff.  An interception credit is given by a simplified value of the interception capacity (I<sub>c</sub>), as presented by [[References for trees|Breuer et al.]] (2003) for deciduous and coniferous tree species.
+
Water intercepted by a tree canopy may evaporate or be slowly released such that it does not contribute to stormwater runoff.  An interception credit is given by a simplified value of the interception capacity (I<sub>c</sub>) for deciduous and coniferous tree species [https://stormwater.pca.state.mn.us/index.php?title=File:Tree_Performance_Memo.docx].
 +
 
 +
*I<sub>c coniferous</sub> = 0.40 inches (2.2 millimeters)
 +
*I<sub>c deciduous</sub> = 0.14 inches (1.1 millimeters)
  
*I<sub>c coniferous</sub> = 0.087 inches (2.2 millimeters)
+
These values intercept approximately 30% and 57% of annual rainfall over the canopy area.
*I<sub>c deciduous</sub> = 0.043 inches (1.1 millimeters)
 
  
 
This credit is per storm event.
 
This credit is per storm event.
  
 
====Infiltration and ET credits====
 
====Infiltration and ET credits====
[[file:Tree schematic for credits.png|300px|thumb|alt=schematic for tree BMP no underdrain|<font size=3>Schematic showing the terms used for calculating volume credits for a tree trench/tree box with no underdrain.</font size>]]
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[[File:Tree schematic for credits.png|300px|thumb|alt=schematic showing terms used for credit calculations for tree trench|<font size=3>Schematic illustrating terms used for calculating credits for a tree trench system. In calculating the credit for evapotranspiration, use the rooting depth as the depth of media. This would equal the thickness of engineered media and the depth of soil below the engineered media into which tree roots can extend.</font size>]]
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{{alert|In calculating the credit for evapotranspiration, use the rooting depth as the depth of media. This would equal the thickness of engineered media and the depth of soil below the engineered media into which tree roots can extend.|alert-info}}
  
The infiltration and ET credits are assumed to be instantaneous values entirely based on the capacity of the BMP to capture, store, and transmit water in any storm event. Because the volume is calculated as an instantaneous volume, the water quality volume (V<sub>WQ</sub>) is assumed to be instantly stored in the bioretention media. The volume of water between saturation and field capacity is assumed to infiltrate through the bottom of the BMP. The volume credit (V<sub>inf<sub>b</sub></sub>) for infiltration through the bottom of the BMP into the underlying soil, in cubic feet, is given by
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The infiltration and evapotranspiration (ET) credits are assumed to be instantaneous values entirely based on the capacity of the BMP to capture, store, and transmit water in any storm event. Because the volume is calculated as an instantaneous volume, the water quality volume (V<sub>WQ</sub>) is assumed to be instantly stored in the bioretention media. The volume of water between saturation and <span title="Field capacity is the amount of soil moisture or water content held in soil after excess water has drained away and the rate of downward movement has materially decreased, which usually takes place within 2–3 days after a rain or irrigation in pervious soils of uniform structure and texture."> '''field capacity'''</span> is assumed to infiltrate through the bottom of the BMP. The volume credit (V<sub>inf<sub>b</sub></sub>) for infiltration through the bottom of the BMP into the underlying soil, in cubic feet, is given by
  
 
<math> V_{inf_b} = (n-FC)\ D_M\  (A_M + A_B)\ / 2  </math>
 
<math> V_{inf_b} = (n-FC)\ D_M\  (A_M + A_B)\ / 2  </math>
  
 
where
 
where
:n is the porosity of the media in cubic feet per cubic foot;
+
:n is the <span title="Porosity or void fraction is a measure of the void (i.e. empty) spaces in a material, and is a fraction of the volume of voids over the total volume, between 0 and 1, or as a percentage between 0% and 100%."> '''porosity (f)'''</span> of the media in cubic feet per cubic foot;
 
:FC is the field capacity of the media in cubic feet per cubic foot;
 
:FC is the field capacity of the media in cubic feet per cubic foot;
 
:A<sub>M</sub> is the area at the surface of the media, in square feet;
 
:A<sub>M</sub> is the area at the surface of the media, in square feet;
 
:A<sub>B</sub> is the area at the bottom of the media, in square feet; and
 
:A<sub>B</sub> is the area at the bottom of the media, in square feet; and
:D<sub>M</sub> is the media depth within the BMP, in feet.
+
:D<sub>M</sub> is the media depth within the BMP, in feet. '''In calculating the credit for evapotranspiration, use the rooting depth as the depth of media. This would equal the thickness of engineered media and the depth of soil below the engineered media into which tree roots can extend.'''
 +
 
 +
V<sub>inf<sub>b</sub></sub> should be calculated to infiltrate within a specific <span title="The length of time, usually expressed in hours, for ponded water in a stormwater practice to drain. For stormwater practices where water is stored in media, there is no clear definition of drawdown, but an acceptable assumption is the time for water to drain to field capacity"> '''drawdown time'''</span>. The [http://stormwater.pca.state.mn.us/index.php/Construction_stormwater_permit construction stormwater permit] has a 48 hour drawdown requirement (24 hours is recommended for discharges to trout streams).
  
ET is calculated as the volume of water between field capacity and the permanent wilting point. Two calculations are needed to determine the evapotranspiration (ET) credit. First is the volume of water available for ET.  This equals the water stored between field capacity and the wilting point. Note this calculation is made for the entire thickness of the media.
+
ET is calculated as the volume of water between field capacity and the permanent <span title="The wilting point, also called the permanent wilting point, may be defined as the amount of water per unit weight or per unit soil bulk volume in the soil, expressed in percent, that is held so tightly by the soil matrix that roots cannot absorb this water and a plant will wilt."> '''wilting point'''. Two calculations are needed to determine the evapotranspiration (ET) credit. The smaller of the two calculated values will be used as the ET credit.
  
The second calculation is the theoretical ET. The theoretical volume of ET lost ([[References for trees|Lindsey and Bassuk]], 1991) per day per tree is given by
+
The first calculation is the volume of water available for ET.  This equals the water stored between field capacity and the wilting point. Note this calculation is made for the entire thickness of the media.
 +
 
 +
The second calculation is the theoretical ET. The theoretical volume of ET lost (Lindsey and Bassuk, 1991) per day per tree is given by
  
 
<math>ET = (CP) (LAI) (E_{rate}) (E_{ratio})*3</math>
 
<math>ET = (CP) (LAI) (E_{rate}) (E_{ratio})*3</math>
  
Where:
+
Where (see definitions below):
 
:CP is the canopy projection area (square feet);
 
:CP is the canopy projection area (square feet);
 
:LAI is the Leaf Area Index;
 
:LAI is the Leaf Area Index;
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{{alert|The theoretical ET must be adjusted if the actual soil volume is less than the recommended volume. See the adjustment calculation below.|alert-warning}}
 
{{alert|The theoretical ET must be adjusted if the actual soil volume is less than the recommended volume. See the adjustment calculation below.|alert-warning}}
  
The canopy projection area (CP) is the perceived tree canopy diameter at maturity and is given by
+
The canopy projection area (CP) is the perceived tree canopy area at maturity and is given by
  
 
<math>CP = Π (d/2)^2</math>
 
<math>CP = Π (d/2)^2</math>
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where d is the diameter of the canopy as measured at the dripline (feet).
 
where d is the diameter of the canopy as measured at the dripline (feet).
  
CP varies by tree species.  Please refer to the [[Tree species list - morphology|Tree Species List]]   for these values. Default values can be used in place of calculating CP.  Defaults for CP are based on tree size and are
+
CP varies by tree species.  Refer to the [[Tree species list - morphology|Tree Species List]] for these values. Default values can be used in place of calculating CP.  Defaults for CP are based on tree size and are
 
*315 for a small tree;
 
*315 for a small tree;
 
*490 for a medium sized tree; and
 
*490 for a medium sized tree; and
 
*707 for a large tree.
 
*707 for a large tree.
  
The leaf area index (LAI) should be stratified by type into either
+
The leaf area index (LAI) is a dimensionless measure that quantifies the amount of leaf material in a canopy. LAI should be stratified by type into either
 
*deciduous tree species (LAI = 3.5 for small trees, 4.1 for medium-sized trees, and 4.7 for large trees), or
 
*deciduous tree species (LAI = 3.5 for small trees, 4.1 for medium-sized trees, and 4.7 for large trees), or
 
*coniferous tree species (LAI = 5.47).
 
*coniferous tree species (LAI = 5.47).
These values are based on collected research for global leaf area from 1932-2000 ([[References for trees|Scurlock, Asner and Gower]], 2002).
+
These values are based on collected research for global leaf area from 1932-2000 (Scurlock, Asner and Gower, 2002).
  
The evaporation rate (E<sub>rate</sub>) per unit time can be calculated using a pan evaporation rate for the given area, as available at [http://www.noaa.gov/ NOAA]. This should be estimated as a per day value.
+
The evaporation rate (E<sub>rate</sub>) per unit time can be calculated using a pan evaporation rate for the given area, as available at [http://www.noaa.gov/ NOAA]. This should be estimated as a per day value.
  
The evaporation ratio (E<sub>ratio</sub>) is the equivalent that accounts for the efficiency of the leaves to transpire the available soil water or, alternately, the stomatal resistance of the canopy to transpiration and water movement.  This is set at 0.20, or 20 percent based on research by [[References for trees|Lindsey and Bassuk]] (1991). This means that a 1 square centimeter leaf transpires only about 1/5 as much as 1 square centimeter of pan surface.
+
The evaporation ratio (E<sub>ratio</sub>) is the equivalent that accounts for the efficiency of the leaves to transpire the available soil water or, alternately, the stomatal resistance of the canopy to <span title="The loss of water as vapor from plants at their surfaces, primarily through stomata."> '''transpiration'''</span> and water movement.  This is set at 0.20, or 20 percent based on research by Lindsey and Bassuk (1991). This means that a 1 square centimeter leaf transpires only about 1/5 as much as 1 square centimeter of pan surface.
  
 
If the soil volume is less than the [[Design guidelines for soil characteristics - tree trenches and tree boxes#Recommended minimum soil volume requirements for urban trees|recommended volume]], the theoretical ET must be adjusted. Since the recommended soil volume equals 2 times the canopy project area (CP), the adjustment term is given by
 
If the soil volume is less than the [[Design guidelines for soil characteristics - tree trenches and tree boxes#Recommended minimum soil volume requirements for urban trees|recommended volume]], the theoretical ET must be adjusted. Since the recommended soil volume equals 2 times the canopy project area (CP), the adjustment term is given by
Line 136: Line 156:
  
 
===Volume credit calculations - underdrain===
 
===Volume credit calculations - underdrain===
If an underdrain is present, the volume credits for ET and canopy interception remain the same as [http://stormwater.pca.state.mn.us/index.php/Calculating_credits_for_tree_trenches_and_tree_boxes#Volume_credit_calculations_-_no_underdrain shown above]. Volume credits for infiltration are available only if the BMP permanently removes a portion of the stormwater runoff via infiltration through sidewalls or beneath the underdrain piping. The ET and infiltration credits are assumed to be instantaneous values based on the design capacity of the BMP for a specific storm event. Instantaneous volume reduction, also termed event based volume reduction, can be converted to annual volume reduction percentages using the [http://stormwater.pca.state.mn.us/index.php/Performance_curves_for_MIDS_calculator MIDS calculator] or other appropriate modeling tools.
+
[[file:Bioretention water loss bottom underdrain.png|300px|thumb|alt=water loss mechanisms bioretention with underdrain at bottom|<font size=3>Schematic illustrating the different water loss terms for a biofiltration or tree trench BMP with an underdrain at the bottom.</font size>]]
  
The main design variables impacting the infiltration volume credit includes whether the underdrain is elevated above the native soils and if an impermeable liner on the sides or bottom of the basin is used. Other design variables include media top surface area, underdrain location, basin bottom area, total depth of media, soil water holding capacity and media porosity, and infiltration rate of underlying soils. The infiltration volume credit (V<sub>inf</sub>), in cubic feet, is given by
+
[[file:Bioretention water loss raised underdrain.png|300px|thumb|alt=water loss mechanisms bioretention with raised underdrain|<font size=3>Schematic illustrating the different water loss terms for a biofiltration or tree trench BMP with a raised underdrain.</font size>]]
  
<math> V_{inf} = V_{inf_b}\ + V_{inf_s}\ + V_U </math>
+
Volume credits for a tree system with an underdrain include the ET and interception credits discussed above and an infiltration credit. The main design variables impacting the infiltration volume credit include whether the underdrain is elevated above the native soils and if an <span title="Impermeable means not allowing something, such as water, to pass through. Some materials considered impermeable may actually allow water to pass through at very slow rates, such as 10(-8) cm/sec."> '''impermeable'''</span> liner on the sides or bottom of the basin is used. Other design variables include media top surface area, underdrain location, basin bottom area, total depth of media, soil <span title="The ability of a certain soil texture to physically hold water against the force of gravity"> '''water holding capacity'''</span> and media porosity, and infiltration rate of underlying soils. The total volume credit (V<sub>inf</sub>), in cubic feet, is given by
 +
 
 +
<math> V_{inf} = V_{inf_b}\ + V_{inf_s}\ + V_U + V_{ET}\ + V_I </math>
  
 
where:
 
where:
 
:V<sub>inf<sub>b</sub></sub> = volume of infiltration through the bottom of the basin (cubic feet);
 
:V<sub>inf<sub>b</sub></sub> = volume of infiltration through the bottom of the basin (cubic feet);
:V<sub>inf<sub>s</sub></sub> = volume of infiltration through the sides of the basin (cubic feet); and
+
:V<sub>inf<sub>s</sub></sub> = volume of infiltration through the sides of the basin (cubic feet);
:V<sub>U</sub> = volume of water stored beneath the underdrain that will infiltrate into the underlying soil (cubic feet).
+
:V<sub>U</sub> = volume of water stored beneath the underdrain that will infiltrate into the underlying soil (cubic feet);
 +
:V<sub>ET</sub> = volume of captured water that is lost to evapotranspiration, in cubic feet; and
 +
:V<sub>I</sub> = volume of precipitation intercepted by the tree canopy, in cubic feet.
  
Volume credits for infiltration through the bottom of the basin (V<sub>inf<sub>b</sub></sub>) are accounted for only if the bottom of the basin is not lined. As long as water continues to draw down, some infiltration will occur through the bottom of the BMP.  However, it is assumed that when an underdrain is included in the installation, the majority of water will be filtered through the media and exit through the underdrain. Because of this, the drawdown time is likely to be short. Volume credit for infiltration through the bottom of the basin is given by
+
Volume credits for ET and canopy interception remain the same as [http://stormwater.pca.state.mn.us/index.php/Calculating_credits_for_tree_trenches_and_tree_boxes#Volume_credit_calculations_-_no_underdrain shown above]
 +
 
 +
Volume credits for infiltration through the bottom of the basin (V<sub>inf<sub>b</sub></sub>) are accounted for only if the bottom of the basin is not lined and the BMP permanently removes a portion of the stormwater runoff via infiltration through sidewalls or beneath the underdrain piping. As long as water continues to draw down, some infiltration will occur through the bottom of the BMP.  However, it is assumed that when an underdrain is included in the installation, the majority of water will be filtered through the media and exit through the underdrain. Because of this, the drawdown time is likely to be short. Volume credit for infiltration through the bottom of the basin is given by
  
 
<math> V_{inf_B} = A_B\  DDT\ I_R/12 </math>
 
<math> V_{inf_B} = A_B\  DDT\ I_R/12 </math>
  
 
where
 
where
:I<sub>R</sub> = [[Design infiltration rates|design infiltration rate]] of underlying soil (inches per hour);
+
:I<sub>R</sub> = <span title="The assumed infiltration rate into soil or engineered media when determining the dimensions (depth, surface area) of a stormwater practice."> '''[https://stormwater.pca.state.mn.us/index.php?title=Design_infiltration_rate_as_a_function_of_soil_texture_for_bioretention_in_Minnesota design infiltration rate]''' </span> of underlying soil (inches per hour);
 
:A<sub>B</sub> = surface area at the bottom of the basin (square feet); and
 
:A<sub>B</sub> = surface area at the bottom of the basin (square feet); and
 
:DDT = drawdown time for ponded water (hours).
 
:DDT = drawdown time for ponded water (hours).
  
The drawdown time is typically a maximum of 48 hours, which is designed to be protective of plants grown in the media. The [http://stormwater.pca.state.mn.us/index.php/Construction_stormwater_permit Construction Stormwater permit] requires drawdown within 48 hours and recommends 24 hours when discharges are to a trout stream. With a properly functioning underdrain, the drawdown time is likely to be considerably less than 48 hours.
+
{{alert|The MIDS calculator assigns a default value of 0.06 inches per hour, equivalent to a D soil, to I<sub>R</sub>. This is based on the assumption that most water will drain to the underdrain, but that some loss to underlying soil will occur. A conservative approach assuming a D soil was thus chosen.|alert-info}}
 +
 
 +
The [https://stormwater.pca.state.mn.us/index.php?title=Construction_stormwater_program Construction Stormwater permit] requires drawdown within 48 hours and recommends 24 hours when discharges are to a trout stream. With a properly functioning underdrain, the drawdown time is likely to be considerably less than 48 hours.
  
 
Volume credit for infiltration through the sides of the basin is accounted for only if the sides of the basin are not lined with an impermeable liner. Volume credit for infiltration through the sides of the basin is given by
 
Volume credit for infiltration through the sides of the basin is accounted for only if the sides of the basin are not lined with an impermeable liner. Volume credit for infiltration through the sides of the basin is given by
Line 165: Line 193:
 
:A<sub>M</sub> = the area at the media surface (square feet); and
 
:A<sub>M</sub> = the area at the media surface (square feet); and
 
:A<sub>U</sub> = the surface area at the underdrain (square feet).
 
:A<sub>U</sub> = the surface area at the underdrain (square feet).
 +
 +
{{alert|The MIDS calculator assigns a default value of 0.06 inches per hour, equivalent to a D soil, to I<sub>R</sub>. This is based on the assumption that most water will drain to the underdrain, but that some loss to underlying soil will occur. A conservative approach assuming a D soil was thus chosen.|alert-info}}
  
 
This equation assumes water will infiltrate through the entire sideslope area during the period when water is being drawn down. This is not the case, however, since the water level will decline in the BMP. The MIDS calculator assumes a linear drop in water level and thus divides the right hand term in the above equation by 2.
 
This equation assumes water will infiltrate through the entire sideslope area during the period when water is being drawn down. This is not the case, however, since the water level will decline in the BMP. The MIDS calculator assumes a linear drop in water level and thus divides the right hand term in the above equation by 2.
Line 178: Line 208:
 
:D<sub>U</sub> = the depth of media below the underdrain (feet).
 
:D<sub>U</sub> = the depth of media below the underdrain (feet).
  
This is an instantaneous volume. This will somewhat overestimate actual storage when the majority of water is being captured by the underdrains. This equation assumes water between the [http://stormwater.pca.state.mn.us/index.php/Soil_water_storage_properties soil porosity and field capacity] will infiltrate into the underlying soil.
+
This equation assumes water between the [http://stormwater.pca.state.mn.us/index.php/Soil_water_storage_properties soil porosity and field capacity] will infiltrate into the underlying soil. Water stored below the underdrain should infiltrate within a specified drawdown time. The construction stormwater permit has a 48 hour requirement for drawdown (24 hours is recommended when discharges are to trout streams).
 +
 
 +
The ET and infiltration credits are assumed to be instantaneous values based on the design capacity of the BMP for a specific storm event. Instantaneous volume reduction, also termed event based volume reduction, can be converted to annual volume reduction percentages using the [https://stormwater.pca.state.mn.us/index.php?title=MIDS_calculator MIDS calculator] or other appropriate modeling tools. Assuming an instantaneous volume will somewhat overestimate actual storage when the majority of water is being captured by the underdrains.
  
 
The volume of water passing through underdrains can be determined by subtracting the volume loss (V) from the volume of water instantaneously captured by the BMP. No volume reduction credit is given for filtered stormwater that exits through the underdrain, but the volume of filtered water can be used in the calculation of pollutant removal credits through filtration.
 
The volume of water passing through underdrains can be determined by subtracting the volume loss (V) from the volume of water instantaneously captured by the BMP. No volume reduction credit is given for filtered stormwater that exits through the underdrain, but the volume of filtered water can be used in the calculation of pollutant removal credits through filtration.
  
The volume reduction credit (V) can be converted to an annual volume if desired. This conversion can be generated using the [[MIDS calculator|MIDS calculator]] or other appropriate modeling techniques. The MIDS calculator obtains the percentage annual volume reduction through [http://stormwater.pca.state.mn.us/index.php/Performance_curves_for_MIDS_calculator performance curves] developed from multiple modeling scenarios using the volume reduction capacity for biofiltration, the infiltration rate of the underlying soils, and the contributing watershed size and imperviousness.
+
===Example calculation===
 +
 
 +
A parking lot is developed and will contain tree trenches containing red maple (Acer rubrum).  The tree trench has 1000 cubic feet of sandy loam per tree. Note that the following calculations are on a per tree basis.  Total volume credit for the BMP will equal the per tree value times the number of trees, assuming all trees are of the same relative size (large in this case). Soil information is from the [[Soil water storage properties]] table.
 +
 
 +
====Infiltration credit====
 +
 
 +
The infiltration credit is given by
 +
 
 +
<math>(soil volume) (porosity - field  capacity) = 1000 * 0.31 = 310 cubic feet</math>
 +
 
 +
====Evapotranspiration credit====
 +
Using the [[Tree species list - morphology|tree morphology table]], red maple is a large tree with a mature canopy of 30 feet. The available storage volume is given by
 +
 
 +
<math>Soil volume (field capacity - wilting point) = 1000 * 0.09 = 90 cubic feet</math>
 +
 
 +
The theoretical ET volume is given by
 +
 
 +
<math>(CP) (LAI) (E_{rate}) (E_{ratio}) (adjustment) (3 days) = 707 * 4.7 * 0.02 * 0.2 * (1000/(2 * 707)) * 3 = 28.2 cubic feet</math>
 +
 
 +
The smaller value is the theoretical ET (28.2 cubic feet), so that is the volume credit.  Note that if the recommended soil volume of 1414 cubic feet had been used the credit would be 39.9 cubic feet.
 +
 
 +
To make this calculation we used the default value of 707 for CP and the soil volume information from the [[Soil water storage properties|table]] above. The evaporation rate (E<sub>rate</sub>) of 0.24 inches per day (0.02 feet per day) was from data collected at the [http://swroc.cfans.umn.edu/ Southwest Research and Outreach Center] in Lamberton, Minnesota.
 +
 
 +
====Interception credit====
 +
The interception credit is given by
 +
 
 +
<math>707 (0.14/12) = 8.14 cubic feet</math>
 +
 
 +
The division by 12 converts the calculation to feet.
 +
 
 +
====Total credit====
 +
The total credit is the sum of the infiltration, ET and interception credits and equals (310 + 28.2 + 8.1) or 346.3 cubic feet.
  
 
===Total suspended solids credit calculations===
 
===Total suspended solids credit calculations===
 +
[[File:Schematic of pollutant reductions tree trench with underdrain.jpg|300px|thumb|alt=schematic of pollutant reductions from tree trench with an underdrain BMP|<font size=3>Schematic illustrating how pollutant reductions (TSS, dissolved and particulate P) are calculated for the tree trench system-tree box with an underdrain BMP in the MIDS calculator. If there is no underdrain, pollutant removal for infiltrated water is 100 percent.</font size>]]
 +
 
TSS reduction credits correspond with volume reduction through infiltration/ET and filtration of water captured by the tree BMP and are given by
 
TSS reduction credits correspond with volume reduction through infiltration/ET and filtration of water captured by the tree BMP and are given by
  
Line 202: Line 267:
 
:EMC<sub>TSS</sub> is the event mean TSS concentration in runoff water entering the BMP (milligrams per liter).
 
:EMC<sub>TSS</sub> is the event mean TSS concentration in runoff water entering the BMP (milligrams per liter).
  
The EMC<sub>TSS</sub> entering the BMP is a function of the contributing land use and treatment by upstream tributary BMPs. For more information on EMC values for TSS, [http://stormwater.pca.state.mn.us/index.php/Total_Suspended_Solids_%28TSS%29_in_stormwater link here]. If there is no underdrain, the the water quality volume (V<sub>WQ)</sub>) is used in this calculation.
+
The EMC<sub>TSS</sub> entering the BMP is a function of the contributing land use and treatment by upstream tributary BMPs. For more information on EMC values for TSS, [http://stormwater.pca.state.mn.us/index.php/Total_Suspended_Solids_%28TSS%29_in_stormwater link here]. If there is no underdrain, the water quality volume (V<sub>WQ)</sub>) is used in this calculation.
  
 
Removal for the filtered portion is less than 100 percent. The event-based mass of pollutant removed through filtration, in pounds, is given by
 
Removal for the filtered portion is less than 100 percent. The event-based mass of pollutant removed through filtration, in pounds, is given by
Line 212: Line 277:
 
:R<sub>TSS</sub> is the TSS pollutant removal percentage for filtered runoff.
 
:R<sub>TSS</sub> is the TSS pollutant removal percentage for filtered runoff.
  
The [http://stormwater.pca.state.mn.us/index.php/Pollutant_removal_percentages_for_bioretention_BMPs Stormwater Manual] provides a recommended value for R<sub>TSS</sub>of 0.85 (85 percent) removal for filtered water, while the MIDS calculator provides a value of 0.65 (65 percent). Alternate justified percentages for TSS removal can be used if proven to be applicable to the BMP design.
+
The [http://stormwater.pca.state.mn.us/index.php/Pollutant_removal_percentages_for_bioretention_BMPs Stormwater Manual] provides a recommended value for R<sub>TSS</sub> of 0.80 (80 percent removal) for filtered water. Alternate justified percentages for TSS removal can be used if proven to be applicable to the BMP design.
  
 
The above calculations may be applied on an event or annual basis and are given by
 
The above calculations may be applied on an event or annual basis and are given by
  
<math> M_{TSS_f} = 2.72\ F\ V_{F_{annual}}\ EMC_{TSS}\ R_{TSS} </math>
+
<math> M_{TSS_f} = 2.72\ F\ V_{annual}\ EMC_{TSS}\ R_{TSS} </math>
  
 
where
 
where
Line 222: Line 287:
 
:V<sub>annual</sub> is the annual volume treated by the BMP, in acre-feet.
 
:V<sub>annual</sub> is the annual volume treated by the BMP, in acre-feet.
  
===Total phosphorus credit calculations===
+
===Phosphorus credit calculations===
[[File:Bioretention example calculation 1.png|550px|thumb|alt=example calculation|<font size=3>Example calculations of phosphorus removal using equations shown at left.</font size>]]
+
Total phosphorus (TP) reduction credits correspond with volume reduction through infiltration/ET and filtration of water captured by the tree BMP and are given by
 
 
Total phosphorus (TP) reduction credits correspond with volume reduction through infiltration and filtration of water captured by the biofiltration basin and are given by
 
  
<math> M_{TP} = M_{TP_i} + M_{TP_f} </math>
+
<math> M_{TP} = M_{TP_{i+ET}} + M_{TP_f} </math>
  
 
where
 
where
*M<sub>TP</sub> = TP removal (pounds);
+
:M<sub>TP</sub> = TP removal (pounds);
*M<sub>TP_i</sub> = TP removal from infiltrated water (pounds); and
+
:M<sub>TP<sub>i+ET</sub></sub> = TP removal from infiltrated and evapotranspired water (pounds); and
*M<sub>TP_f</sub> = TP removal from filtered water (pounds).
+
:M<sub>TP<sub>f</sub></sub> = TP removal from filtered water (pounds).
  
Pollutant removal for infiltrated water is assumed to be 100 percent. The mass of pollutant removed through infiltration, in pounds, is given by
+
Pollutant removal for infiltrated water is assumed to be 100 percent. The mass of pollutant removed through infiltration and ET, in pounds, is given by
  
*biofiltration - <math> M_{TP_i} = 0.0000624\ (V_{inf_b} + V_{inf_s} + V_U)\ EMC_{TP} </math>
+
*underdrain - <math> M_{TP_{i+ET}} = 0.0000624\ (V_{inf_b} + V_{inf_s} + V_U + V_{ET})\ EMC_{TP} </math>
*bioinfiltration - <math> M_{TP_i} = 0.0000624\ V_{WQ})\ EMC_{TP} </math>
+
*no underdrain - <math> M_{TP_{i+ET}} = 0.0000624\ V_{WQ})\ EMC_{TP} </math>
  
 
where
 
where
*EMC<sub>TP</sub> is the event mean TP concentration in runoff water entering the BMP (milligrams per liter).
+
:EMC<sub>TP</sub> is the event mean TP concentration in runoff water entering the BMP (milligrams per liter).
  
 
The EMC<sub>TP</sub> entering the BMP is a function of the contributing land use and treatment by upstream tributary BMPs.
 
The EMC<sub>TP</sub> entering the BMP is a function of the contributing land use and treatment by upstream tributary BMPs.
  
The filtration credit for TP in bioretention with underdrains assumes removal rates based on the [http://stormwater.pca.state.mn.us/index.php/Design_criteria_for_bioretention#Materials_specifications_-_filter_media soil media mix] used and the presence or absence of [http://stormwater.pca.state.mn.us/index.php/Soil_amendments_to_enhance_phosphorus_sorption amendments]. Soil mixes with more than [[Design criteria for bioretention#Notes about soil phosphorus testing: applicability and interpretation|30 mg/kg phosphorus]] (P) content are likely to leach phosphorus and do not qualify for a water quality credit.  If the soil phosphorus concentration is less than 30 mg/kg, the mass of phosphorus removed through filtration, in pounds, is given by
+
The filtration credit for TP in an underdrained system assumes removal rates based on the [http://stormwater.pca.state.mn.us/index.php/Design_criteria_for_bioretention#Materials_specifications_-_filter_media soil media mix] used and the presence or absence of [http://stormwater.pca.state.mn.us/index.php/Soil_amendments_to_enhance_phosphorus_sorption amendments]. Soil mixes with more than [[Design criteria for bioretention#Notes about soil phosphorus testing: applicability and interpretation|30 mg/kg phosphorus]] (P) content are likely to leach phosphorus and do not qualify for a water quality credit.  If the soil phosphorus concentration is less than 30 mg/kg, the mass of phosphorus removed through filtration, in pounds, is given by
  
<math> M_{TP_f} = 0.0000624\ (V_{total} - (V_{inf_b} + V_{inf_s} + V_U))\ EMC_{TP}\ R_{TP} </math>
+
<math> M_{TP_f} = 0.0000624\ (V_{total} - (V_{inf_b} + V_{inf_s} + V_U + V_{ET}))\ EMC_{TP}\ R_{TP} </math>
  
 
{{alert|Soil mixes [[Design criteria for bioretention#Mix C: North Carolina State University water quality blend|C]] and [[Design criteria for bioretention#Mix D|D]] are assumed to contain less than 30 mg/kg of phosphorus and therefore do not require testing|alert-info}}
 
{{alert|Soil mixes [[Design criteria for bioretention#Mix C: North Carolina State University water quality blend|C]] and [[Design criteria for bioretention#Mix D|D]] are assumed to contain less than 30 mg/kg of phosphorus and therefore do not require testing|alert-info}}
  
Again, assuming the phosphorus content in the media is less than 30 milligrams per kilogram, the [http://stormwater.pca.state.mn.us/index.php/Phosphorus_credits_for_bioretention_systems_with_an_underdrain removal efficiency (R<sub>TP</sub>) provided in the Stormwater Manual] is a function of the fraction of phosphorus that is in particulate or dissolved form, the depth of the media, and the presence or absence of soil amendments.  For the purpose of calculating credits it can be assumed that TP in storm water runoff consists of 55 percent particulate phosphorus (PP) and 45 percent dissolved phosphorus (DP). The removal efficiency for particulate phosphorus is 80 percent. The removal efficiency for dissolved phosphorus is 20 percent if the media depth is 2 feet or greater. The efficiency decreases by 1 percent for each 0.1 foot decrease in media thickness below 2 feet. If a soil amendment is added to the BMP design, an additional 40 percent credit is applied to dissolved phosphorus. Thus, the overall removal efficiency, (R<sub>TP</sub>), expressed as a percent removal of total phosphorus, is given by
+
Again, assuming the phosphorus content in the media is less than 30 milligrams per kilogram, the [http://stormwater.pca.state.mn.us/index.php/Phosphorus_credits_for_bioretention_systems_with_an_underdrain removal efficiency (R<sub>TP</sub>) provided in the Stormwater Manual] is a function of the fraction of phosphorus that is in particulate or dissolved form, the depth of the media, and the presence or absence of soil amendments.  For the purpose of calculating credits it can be assumed that TP in storm water runoff consists of 55 percent particulate phosphorus (PP) and 45 percent dissolved phosphorus (DP). The removal efficiency for particulate phosphorus is 80 percent. The removal efficiency for dissolved phosphorus is 20 percent if the media depth is 2 feet or greater. The efficiency decreases by 1 percent for each 0.1 foot decrease in media thickness below 2 feet. If a [http://stormwater.pca.state.mn.us/index.php/Soil_amendments_to_enhance_phosphorus_sorption soil amendment] is added to the BMP design, an additional 40 percent credit is applied to dissolved phosphorus. Thus, the overall removal efficiency, (R<sub>TP</sub>), expressed as a percent removal of total phosphorus, is given by
  
 
<math> R_{TP} = (0.8 * 0.55) + (0.45 * ((0.2 * (D_{MU_{max=2}})/2) + 0.40_{if amendment is used})) * 100 </math>
 
<math> R_{TP} = (0.8 * 0.55) + (0.45 * ((0.2 * (D_{MU_{max=2}})/2) + 0.40_{if amendment is used})) * 100 </math>
  
 
where
 
where
*the first term on the right side of the equation represents the removal of particulate phosphorus;
+
:the first term on the right side of the equation represents the removal of particulate phosphorus;
*the second term on the right side of the equation represents the removal of dissolved phosphorus; and
+
:the second term on the right side of the equation represents the removal of dissolved phosphorus; and
*D<sub>MU<sub>max=2</sub></sub> = the media depth above the underdrain, up to a maximum of 2 feet.
+
:D<sub>MU<sub>max=2</sub></sub> = the media depth above the underdrain, up to a maximum of 2 feet.
 
 
 
 
 
 
==Example calculation==
 
 
 
A parking lot is developed and will contain tree trenches containing red maple (Acer rubrum).  The tree trench has 1000 cubic feet of sandy loam per tree. Note that the following calculations are on a per tree basis.  Total volume credit for the BMP will equal the per tree value times the number of trees, assuming all trees are of the same relative size (large in this case).
 
 
 
===Infiltration credit===
 
 
 
The infiltration credit is given by
 
 
 
<math>(soil volume) (porosity - field  capacity) = 1000 * 0.31 = 310 cubic feet</math>
 
 
 
===Evapotranspiration credit===
 
Using the [[Tree species list - morphology|tree morphology table]], red maple is a large tree with a mature canopy of 30 feet. The available storage volume is given by
 
 
 
<math>Soil volume (field capacity - wilting point) = 1000 * 0.09 = 90 cubic feet</math>
 
 
 
The theoretical ET volume is given by
 
 
 
<math>(CP) (LAI) (E_{rate}) (E_{ratio}) (adjustment) (3 days) = 707 * 4.7 * 0.02 * 0.2 * (1000/(2 * 707)) * 3 = 28.2 cubic feet</math>
 
 
 
The smaller value is the theoretical ET (28.2 cubic feet), so that is the volume credit.  Note that if the recommended soil volume had been used the credit would be 39.9 cubic feet.
 
 
 
To make this calculation we used the default value of 707 for CP and the soil volume information from the [[Soil water storage properties|table]] above.  The evaporation rate (E<sub>rate</sub>) of 0.24 inches per day (0.02 feet per day) was from data collected at the [http://swroc.cfans.umn.edu/ Southwest Research and Outreach Center] in Lamberton, Minnesota.
 
 
 
===Interception credit===
 
The interception credit is given by
 
 
 
<math>707 (0.043/12) = 2.5 cubic feet</math>
 
 
 
The division by 12 converts the calculation to feet.
 
  
===Total credit===
+
The assumption of 55 percent particulate phosphorus and 45 percent dissolved phosphorus is likely inaccurate for certain land uses, such as industrial, transportation, and some commercial areas. Studies indicate particulate phosphorus comprises a greater percent of total phosphorus in these land uses. It may therefore be appropriate to modify the above equation with locally derived ratios for particulate and dissolved phosphorus. For more information on fractionation of phosphorus in stormwater runoff, [https://stormwater.pca.state.mn.us/index.php?title=Event_mean_concentrations_of_total_and_dissolved_phosphorus_in_stormwater_runoff#Ratios_of_particulate_to_dissolved_phosphorus link here].
The total credit is the sum of the infiltration, ET and interception credits and equals (310 + 28.2 + 2.5) or 340.7 cubic feet.
 
  
==Phosphorus credits==
+
The following table can be used to calculate phosphorus credits.
*The phosphorus credit for water that is infiltrated is 100 percent.  Volume calculations are discussed above.
 
*When an underdrain is present, water that does not infiltrate below the drain is captured by the underdrain. In this situation, phosphorus credits are a function of the position of the underdrain, media mix used, soil testing, and presence/absence of soil amendments. These are discussed below.
 
 
 
===Phosphorus credit for non-volume reduction===
 
Phosphorus credits for water entering a BMP and not infiltrating the underlying soil (i.e. going to an underdrain) are summarized in the following table. Phosphorus in soil (media) water is assumed to be 55 percent in the particulate form and 45 percent in the dissolved form.
 
  
 
{{:Phosphorus credits for bioretention systems with an underdrain}}
 
{{:Phosphorus credits for bioretention systems with an underdrain}}
  
====Particulate phosphorus credit====
+
====Example calculations====
For particulate phosphorus, the following credits apply.
 
*If [[Construction specifications for bioretention#Materials specifications - filter media|Media Mix]] C or D is used, the credit is 80 percent of the particulate P.
 
*If a media mix other than C or D is used and the soil phosphorus as measured using the [http://soiltesting.tamu.edu/files/mehlich3.pdf Mehlich 3 test] is 30 milligrams per kilogram or less, the credit is 80 percent of the particulate phosphorus.  Note that [http://www.agronext.iastate.edu/soilfertility/presentations/mbotest.pdf other soil phosphorus tests] may be acceptable.
 
*If a media mix other than C or D is used and the soil phosphorus as measured using the Mehlich 3 test is greater than 30 milligrams per kilogram, the credit is 0 percent.  Note that other soil phosphorus tests may be acceptable.
 
*If a media mix other than C or D is used and the soil phosphorus has not been determined, the credit is 0 percent.
 
 
 
====Dissolved phosphorus credit====
 
For dissolved phosphorus, the following credits apply.
 
*If Media Mix C or D is used, the credit, as a percent up to a maximum of 20 percent, is given by
 
 
 
<math>Credit =  20 (S_d / 2)</math>
 
 
 
Where S<sub>d</sub> is the soil depth above the underdrain, in feet.
 
*If a media mix other than C or D is used and the soil phosphorus as measured using the Mehlich 3 test is 30 milligrams per kilogram or less, the credit, as a percent up to a maximum of 20 percent, is given by
 
 
 
<math>Credit =  20 (S_d / 2)</math>
 
 
 
Where S<sub>d</sub> is the soil depth above the underdrain, in feet. Note that other soil phosphorus tests may be acceptable.
 
*If a media mix other than C or D is used and the soil phosphorus as measured using the Mehlich 3 test is greater than 30 milligrams per kilogram, the credit is 0 percent.  Note that other soil phosphorus tests may be acceptable.
 
*If a media mix other than C or D is used and the soil phosphorus has not been determined, the credit is 0 percent.
 
 
 
====Credit for P-sorbing amendments====
 
An additional phosphorus credit of 40 percent may be received if P-sorbing amendments are used.  Acceptable amendments include the following.
 
*5 percent by volume elemental iron filings above IWS or elevated underdrain;
 
*minimum 5 percent by volume sorptive media above IWS or elevated underdrain
 
*minimum 5 percent by weight water treatment residuals (WTR) to a depth of at least 10 centimeters;
 
*other P sorptive amendments with supporting third party research results showing P reduction for at least 20 year lifespan, P credit commensurate with research results.
 
 
 
====Total phosphorus credit====
 
The credit for total phosphorus equals the particulate credit plus the dissolved credit.
 
 
 
===Example calculations===
 
 
'''Example 1'''
 
'''Example 1'''
 
Assume the following:
 
Assume the following:
Line 369: Line 362:
 
*The total phosphorus credit is 73 percent of the annual P load (50 + 18 +5).
 
*The total phosphorus credit is 73 percent of the annual P load (50 + 18 +5).
  
==Total suspended solids (TSS)==
+
==Methods for calculating credits==
*100 percent removal for water that infiltrates
+
Tree trenches and tree boxes are specialized bioretention BMPs. This section provides specific information on generating and calculating credits from bioretention BMPS, including tree-based systems, for volume, Total Suspended Solids (TSS) and Total Phosphorus (TP).  Stormwater runoff volume and pollution reductions (“credits”) may be calculated using one of the following methods:
*85 percent removal for water that is captured by an underdrain
+
#Quantifying volume and pollution reductions based on accepted hydrologic models
 +
#The Simple Method and MPCA Estimator
 +
#MIDS Calculator
 +
#Quantifying volume and pollution reductions based on values reported in literature
 +
#Quantifying volume and pollution reductions based on field monitoring
 +
 
 +
===Credits based on models===
 +
{{alert|The model selected depends on your objectives. For compliance with the Construction Stormwater permit, the model must be based on the assumption that an instantaneous volume is captured by the BMP.|alert-danger}}
 +
 
 +
Users may opt to use a water quality model or calculator to compute volume, TSS and/or TP pollutant removal for the purpose of determining credits. The available models described below are commonly used by water resource professionals, but are not explicitly endorsed or required by the Minnesota Pollution Control Agency. Furthermore, many of the models listed below cannot be used to determine compliance with the Construction Stormwater General permit since the permit requires the water quality volume to be calculated as an <span title="The maximum volume of water that can be retained by a stormwater practice (bmp) if the water was instantaneously added to the practice. It equals the depth of the practice times the average area of the practice. For some bmps (e.g. bioretention, infiltration trenches and basins, swales with check dams), the volume is the water stored or retained above the media, while for other practices (e.g. permeable pavement, tree trenches) the volume is the water stored or retained within the media."> '''instantaneous volume'''</span>.
 +
 
 +
Use of models or calculators for the purpose of computing pollutant removal credits should be supported by detailed documentation, including:
 +
*Model name and version
 +
*Date of analysis
 +
*Person or organization conducting analysis
 +
*Detailed summary of input data
 +
*Calibration and verification information
 +
*Detailed summary of output data
 +
 
 +
The following table lists water quantity and water quality models that are commonly used by water resource professionals to predict the hydrologic, hydraulic, and/or pollutant removal capabilities of a single or multiple stormwater BMPs. The table can be used to guide a user in selecting the most appropriate model for computing volume, TSS, and/or TP removal for bioretention BMPs, including tree-based systems. In using this table, use the sort arrow on the table to select Infiltrator BMPs or Filter BMPs, depending on the type of tree BMP and the terminology used in the model.
 +
 
 +
{{:Stormwater model and calculator comparisons}}
 +
 
 +
===The Simple Method and MPCA Estimator===
 +
The Simple Method is a technique used for estimating storm pollutant export delivered from urban development sites. Pollutant loads are estimated as the product of <span title="The average pollutant concentration for a given stormwater event, expressed in units of mass per volume (e.g., mg/L)"> '''event mean concentration'''</span> and runoff depths over specified periods of time (usually annual or seasonal). The method was developed to provide an easy yet reasonably accurate means of predicting the change in pollutant loadings in response to development. [http://www.stormwatercenter.net/Library/Practice/13.pdf Ohrel] (2000) states: "In general, the Simple Method is most appropriate for small watersheds (<640 acres) and when quick and reasonable stormwater pollutant load estimates are required". Rainfall data, land use (runoff coefficients), land area, and pollutant concentration are needed to use the Simple Method.  For more information on the Simple Method, see [http://www.stormwatercenter.net/monitoring%20and%20assessment/simple%20meth/simple.htm The Simple method to Calculate Urban Stormwater Loads] or [[The Simple Method for estimating phosphorus export]].
 +
 
 +
Some simple stormwater calculators utilize the Simple Method ([https://www.epa.gov/nps/spreadsheet-tool-estimating-pollutant-loads-stepl EPA STEPL], [https://www.stormwatercenter.net/monitoring%20and%20assessment/watershed_treatment_model.htm Watershed Treatment Model]). The MPCA developed a simple calculator for estimating load reductions for TSS, total phosphorus, and bacteria. Called the [http://stormwater.pca.state.mn.us/index.php/Guidance_and_examples_for_using_the_MPCA_Estimator '''MPCA Estimator'''], this tool was developed specifically for complying with the [https://stormwater.pca.state.mn.us/index.php?title=Forms,_guidance,_and_resources_for_completing_the_TMDL_annual_report_form MS4 General Permit TMDL annual reporting requirement]. The MPCA Estimator provides default values for pollutant concentration, <span title="The runoff coefficient (C) is a dimensionless coefficient relating the amount of runoff to the amount of precipitation received. It is a larger value for areas with low infiltration and high runoff (pavement, steep gradient), and lower for permeable, well vegetated areas (forest, flat land)."> [https://stormwater.pca.state.mn.us/index.php?title=Runoff_coefficients_for_5_to_10_year_storms '''runoff coefficients''']</span> for different land uses, and precipitation, although the user can modify these and is encouraged to do so when local data exist. The user is required to enter area for different land uses and area treated by BMPs within each of the land uses.  BMPs include infiltrators (e.g. bioinfiltration, infiltration basin, tree trench, permeable pavement, etc.), filters (biofiltration, sand filter, green roof), constructed ponds and wetlands, and swales/filters. The MPCA Estimator includes standard removal efficiencies for these BMPs, but the user can modify those values if better data are available.  Output from the calculator is given as a load reduction (percent, mass, or number of bacteria) from the original estimated load.
 +
 
 +
{{alert|The MPCA Estimator should not be used for modeling a stormwater system or selecting BMPs.|alert-warning}}
 +
 
 +
Because the MPCA Estimator does not consider BMPs in series, makes simplifying assumptions about runoff and pollutant removal processes, and uses generalized default information, it should only be used for estimating pollutant reductions from an estimated load. It is not intended as a decision-making tool.
 +
 
 +
'''[https://stormwater.pca.state.mn.us/index.php?title=File:MPCA_simple_estimator_version_3.0_March_5_2021.xlsx Download MPCA Estimator here]'''
 +
 
 +
===MIDS Calculator===
 +
[[File:mids logo.jpg|thumb|300 px|alt=mids logo|<font size=3>Download the [[Calculator|MIDS Calculator]]</font size>]]
 +
 
 +
The [[MIDS calculator|Minimal Impact Design Standards (MIDS) best management practice (BMP) calculator]] is a tool used to determine stormwater runoff volume and pollutant reduction capabilities of various low impact development (LID) BMPs. The MIDS calculator estimates the stormwater runoff volume reductions for various BMPs and annual pollutant load reductions for total phosphorus (including a breakdown between particulate and dissolved phosphorus) and total suspended solids (TSS). The calculator was intended for use on individual development sites, though capable modelers could modify its use for larger applications.
 +
 
 +
The MIDS calculator is designed in Microsoft Excel with a graphical user interface (GUI), packaged as a windows application, used to organize input parameters.  The Excel spreadsheet conducts the calculations and stores parameters, while the GUI provides a platform that allows the user to enter data and presents results in a user-friendly manner. 
 +
 
 +
Detailed [[Links to Manual pages that address the MIDS calculator|guidance]] has been developed for all BMPs in the calculator, including tree systems [http://stormwater.pca.state.mn.us/index.php/Requirements,_recommendations_and_information_for_using_trees_with_an_underdrain_as_a_BMP_in_the_MIDS_calculator with an underdrain] and [http://stormwater.pca.state.mn.us/index.php/Requirements,_recommendations_and_information_for_using_trees_as_a_BMP_in_the_MIDS_calculator without an underdrain]. An overview of individual input parameters and workflows is presented in the [http://stormwater.pca.state.mn.us/index.php/User%E2%80%99s_Guide MIDS Calculator User Documentation].
 +
 
 +
===Credits based on reported literature values===
 +
A simplified approach to computing a credit would be to apply a reduction value found in literature to the pollutant mass load or concentration (EMC) entering the BMP. Concentration reductions resulting from treatment can be converted to mass reductions if the volume of stormwater treated is known.
 +
 
 +
Designers may use the pollutant reduction values [http://stormwater.pca.state.mn.us/index.php/Information_on_pollutant_removal_by_BMPs reported in this manual] or may research values from other databases and published literature.  Designers who opt for this approach should
 +
*select the median value from pollutant reduction databases that report a range of reductions, such as from the International BMP Database;
 +
*select a pollutant removal reduction from literature that studied a BMP with site characteristics and climate similar to the device being considered for credits;
 +
*review the article to determine that the design principles of the studied BMP are close to the design recommendations for Minnesota, as described in [https://stormwater.pca.state.mn.us/index.php?title=Trees this manual] and/or by a local permitting agency; and
 +
*give preference to literature that has been published in a peer-reviewed publication.
 +
 
 +
{{alert|Tree trenches and tree boxes are bioretention practices, but there is limited information in the literature on pollutant removal in tree-based systems. The following references provide information for bioretention systems, which can be applied to tree-based practices|alert-info}}
 +
 
 +
The following references summarize pollutant reduction values from multiple studies or sources that could be used to determine credits for bioretention systems. Users should note that there is a wide range of monitored pollutant removal effectiveness in the literature. Before selecting a literature value, users should compare the characteristics of the monitored site in the literature against the characteristics of the proposed bioretention device, considering such conditions as watershed characteristics, bioretention sizing, soil infiltration rates, and climate factors.
 +
*[https://bmpdatabase.org/ International Stormwater Best Management Practices (BMP) Database] Pollutant Category Summary Statistical Addendum: TSS, Bacteria, Nutrients, and Metals
 +
**Compilation of BMP performance studies published through 2011
 +
**Provides values for TSS, Bacteria, Nutrients, and Metals
 +
**Applicable to grass strips, bioretention, bioswales, detention basins, green roofs, manufactured devices, media filters, porous pavements, wetland basins, and wetland channels
 +
*[http://lshs.tamu.edu/docs/lshs/end-notes/updated%20bmp%20removal%20efficiencies%20from%20the%20national%20pollutant%20re-2854375963/updated%20bmp%20removal%20efficiencies%20from%20the%20national%20pollutant%20removal%20database.pdf Updated BMP Removal Efficiencies from the National Pollutant Removal Database (2007) & Acceptable BMP Table for Virginia]
 +
**Provides data for several structural and non-structural BMP performance evaluations
 +
*[http://www.epa.state.il.us/green-infrastructure/docs/draft-final-report.pdf The Illinois Green Infrastructure Study]
 +
**Figure ES-1 summarizes BMP effectiveness
 +
**Provides values for TN, TSS, peak flows / runoff volumes
 +
**Applicable to permeable pavements, constructed wetlands, infiltration, detention, filtration, and green roofs
 +
*[https://www.des.nh.gov/sites/g/files/ehbemt341/files/documents/2020-01/wd-08-20b.pdf New Hampshire Stormwater Manual]
 +
**Volume 2, Appendix B summarizes BMP effectiveness
 +
**Provides values for TSS, TN, and TP removal
 +
**Applicable to basins and wetlands, stormwater wetlands, infiltration practices, filtering practices, treatment swales, vegetated buffers, and pre-treatment practices
 +
*[https://www.wri.wisc.edu/wp-content/uploads/FinalWR03R001.pdf Design Guidelines for Stormwater Bioretention Facilities].  University of Wisconsin, Madison
 +
**Table 2-1 summarizes typical removal rates
 +
**Provides values for TSS, metals, TP, TKN, ammonium, organics, and bacteria
 +
**Applicable for bioretention
 +
*[https://www3.epa.gov/region1/npdes/stormwater/tools/BMP-Performance-Analysis-Report.pdf BMP Performance Analysis].  Prepared for US EPA Region 1, Boston MA.
 +
**Appendix B provides pollutant removal performance curves
 +
**Provides values for TP, TSS, and zinc
 +
**Pollutant removal broken down according to land use
 +
**Applicable to infiltration trench, infiltration basin, bioretention, grass swale, wet pond, and porous pavement
 +
*Weiss, P.T., J.S. Gulliver and A.J. Erickson. 2005. [http://www.lrrb.org/media/reports/200523.pdf The Cost and Effectiveness of Stormwater Management Practices: Final Report]
 +
**Table 8 and Appendix B provides pollutant removal efficiencies for TSS and P
 +
**Applicable to wet basins, stormwater wetlands, bioretention filter, sand filter, infiltration trench, and filter strips/grass swales
 +
 
 +
===Credits based on field monitoring===
 +
Field monitoring may be made in lieu of desktop calculations or models/calculators as described.  Careful planning is HIGHLY RECOMMENDED before commencing a program to monitor the performance of a BMP.  The general steps involved in planning and implementing BMP monitoring include the following.
 +
 
 +
#Establish the objectives and goals of the monitoring. When monitoring BMP performance, typical objectives may include the following.
 +
##Which pollutants will be measured?
 +
##Will the monitoring study the performance of a single BMP or multiple BMPs?
 +
##Are there any variables that will affect the BMP performance?  Variables could include design approaches, maintenance activities, rainfall events, rainfall intensity, etc.
 +
##Will the results be compared to other BMP performance studies?
 +
##What should be the duration of the monitoring period?  Is there a need to look at the annual performance vs the performance during a single rain event?  Is there a need to assess the seasonal variation of BMP performance?
 +
#Plan the field activities.  Field considerations include
 +
##equipment selection and placement;
 +
##sampling protocols including selection, storage, and delivery to the laboratory;
 +
##laboratory services;
 +
##health and Safety plans for field personnel;
 +
##record keeping protocols and forms; and
 +
##quality control and quality assurance protocols
 +
#Execute the field monitoring
 +
#Analyze the results
 +
 
 +
This manual contains the following guidance for monitoring.
 +
*[[Recommendations and guidance for utilizing monitoring to meet TMDL permit requirements]]
 +
*[[Recommendations and guidance for utilizing lake monitoring to meet TMDL permit requirements]]
 +
*[[Recommendations and guidance for utilizing stream monitoring to meet TMDL permit requirements]]
 +
*[[Recommendations and guidance for utilizing major stormwater outfall monitoring to meet TMDL permit requirements]]
 +
*[[Recommendations and guidance for utilizing stormwater best management practice monitoring to meet TMDL permit requirements]]
 +
 
 +
The following guidance manuals have been developed to assist BMP owners and operators on how to plan and implement BMP performance monitoring.
 +
 
 +
:[https://www3.epa.gov/npdes/pubs/montcomplete.pdf '''Urban Stormwater BMP Performance Monitoring''']
 +
Geosyntec Consultants and Wright Water Engineers prepared this guide in 2009 with support from the USEPA, Water Environment Research Foundation, Federal Highway Administration, and the Environment and Water Resource Institute of the American Society of Civil Engineers.  This guide was developed to improve and standardize the protocols for all BMP monitoring and to provide additional guidance for Low Impact Development (LID) BMP monitoring. Highlighted chapters in this manual include:
 +
*Chapter 2: Developing a monitoring plan. Describes a seven-step approach for developing a monitoring plan for collection of data to evaluate BMP effectiveness.
 +
*Chapter 3: Methods and Equipment for hydrologic and hydraulic monitoring
 +
*Chapter 4: Methods and equipment for water quality monitoring
 +
*Chapters 5 (Implementation) and 6 (Data Management, Evaluation and Reporting)
 +
*Chapter 7: BMP Performance Analysis
 +
*Chapters 8 (LID Monitoring), 9 (LID data interpretation]), and 10 (Case studies).
 +
 
 +
:[http://onlinepubs.trb.org/onlinepubs/nchrp/nchrp_rpt_565.pdf '''Evaluation of Best Management Practices for Highway Runoff Control (NCHRP Report 565)''']
 +
AASHTO (American Association of State Highway and Transportation Officials) and the FHWA (Federal Highway Administration) sponsored this 2006 research report, which was authored by Oregon State University, Geosyntec Consultants, the University of Florida, and the Low Impact Development Center.  The primary purpose of this report is to advise on the selection and design of BMPs that are best suited for highway runoff.  The document includes chapters on performance monitoring that may be a useful reference for BMP performance monitoring, especially for the performance assessment of a highway BMP.
 +
*Chapter 4: Stormwater Characterization
 +
**4.2: General Characteristics and Pollutant Sources
 +
**4.3: Sources of Stormwater Quality data
 +
*Chapter 8: Performance Evaluation
 +
**8.1: Methodology Options
 +
**8.5: Evaluation of Quality Performance for Individual BMPs
 +
**8.6: Overall Hydrologic and Water Quality Performance Evaluation
 +
*Chapter 10: Hydrologic Evaluation
 +
**10.5: Performance Verification and Design Optimization
 +
 
 +
:[https://www.wef.org/globalassets/assets-wef/3---resources/topics/o-z/stormwater/stormwater-institute/wef-stepp-white-paper_final_02-06-14.pdf '''Investigation into the Feasibility of a National Testing and Evaluation Program for Stormwater Products and Practices''']
 +
*In 2014 the Water Environment Federation released this White Paper that investigates the feasibility of a national program for the testing of stormwater products and practices. The report does not include any specific guidance on the monitoring of a BMP, but it does include a summary of the existing technical evaluation programs that could be consulted for testing results for specific products (see Table 1 on page 8).
 +
 
 +
:'''Caltrans Stormwater Monitoring Guidance Manual (Document No. CTSW-OT-13-999.43.01)''']
 +
 
 +
The most current version of this manual was released by the State of California, Department of Transportation in November 2013.  As with the other monitoring manuals described, this manual does include guidance on planning a stormwater monitoring program.  However, this manual is among the most thorough for field activities.  Relevant chapters include.
 +
*Chapter 4: Monitoring Methods and Equipment
 +
*Chapter 5: Analytical Methods and Laboratory Selection
 +
*Chapter 6: Monitoring Site Selection
 +
*Chapter 8: Equipment Installation and Maintenance
 +
*Chapter 10: Pre-Storm Preparation
 +
*Chapter 11: Sample Collection and Handling
 +
*Chapter 12: Quality Assurance / Quality Control
 +
*Chapter 13: Laboratory Reports and Data Review
 +
*Chapter 15: Gross Solids Monitoring
 +
 
 +
:[http://stormwaterbook.safl.umn.edu/ '''Optimizing Stormwater Treatment Practices: A Handbook of Assessment and Maintenance''']
 +
 
 +
This online manual was developed in 2010 by Andrew Erickson, Peter Weiss, and John Gulliver from the University of Minnesota and St. Anthony Falls Hydraulic Laboratory with funding provided by the Minnesota Pollution Control Agency.  The manual advises on a four-level process to assess the performance of a Best Management Practice.
 +
*Level 1: [https://stormwaterbook.safl.umn.edu/assessment-programs/visual-inspection Visual Inspection]
 +
*Level 2: [https://stormwaterbook.safl.umn.edu/assessment-programs/capacity-testing Capacity Testing]
 +
*Level 3: [http://stormwaterbook.safl.umn.edu/assessment-programs/synthetic-runoff-testing Synthetic Runoff Testing]
 +
*Level 4: [https://stormwaterbook.safl.umn.edu/assessment-programs/monitoring Monitoring]
 +
 
 +
Level 1 activities do not produce numerical performance data that could be used to obtain a stormwater management credit.  BMP owners and operators who are interested in using data obtained from Levels 2 and 3 should consult with the MPCA or other regulatory agency to determine if the results are appropriate for credit calculations.  Level 4, Monitoring, is the method most frequently used for assessment of the performance of a BMP.
 +
 
 +
Use these links to obtain detailed information on the following topics related to BMP performance monitoring:
 +
*[https://stormwaterbook.safl.umn.edu/water-budget-measurement Water Budget Measurement]
 +
*[https://stormwaterbook.safl.umn.edu/sampling-methods Sampling Methods]
 +
*[https://stormwaterbook.safl.umn.edu/analysis-water-and-soils Analysis of Water and Soils]
 +
*[https://stormwaterbook.safl.umn.edu/data-analysis Data Analysis for Monitoring]
 +
 
 +
==Other pollutants==
 +
In addition to TSS and phosphorus, bioretention BMPs can reduce loading of other pollutants.  According to the [https://bmpdatabase.org/ International Stormwater Database], studies have shown that bioretention BMPs are effective at reducing concentrations of pollutants, including metals, and bacteria.  A compilation of the pollutant removal capabilities from a review of literature are summarized below.
 +
 
 +
{{:Relative pollutant reduction for biofiltration}}
 +
 
 +
==References and suggested reading==
 +
To see how some other cities are calculating tree credits, see [http://www.deeproot.com/blog/blog-entries/cities-that-are-pioneers-in-developing-storwmater-credit-systems-for-trees Cities That are Pioneers in Developing Stormwater Credit Systems for Trees] (Shanstrom, 2014)
 +
 
 +
*Brown, Robert A., and William F. Hunt III. 2010. ''Impacts of media depth on effluent water quality and hydrologic performance of undersized bioretention cells.'' Journal of Irrigation and Drainage Engineering 137, no. 3: 132-143.
 +
*Brown, R. A., and W. F. Hunt. 2011. ''Underdrain configuration to enhance bioretention exfiltration to reduce pollutant loads''. Journal of Environmental Engineering 137, no. 11: 1082-1091.
 +
*Bureau of Environmental Services. 2006. [https://www.portlandoregon.gov/bes/article/133994 Effectiveness Evaluation of Best Management Practices for Stormwater Management in Portland]. Oregon. Bureau of Environmental Services, Portland, Oregon.
 +
*California Stormwater Quality Association. 2003. [https://www.casqa.org/resources/bmp-handbooks/new-development-redevelopment-bmp-handbook California Stormwater BMP Handbook-New Development and Redevelopment]. California Stormwater Quality Association, Menlo Park, CA.
 +
*Chris, Denich, Bradford Andrea, and Drake Jennifer. 2013. ''Bioretention: assessing effects of winter salt and aggregate application on plant health, media clogging and effluent quality''. Water Quality Research Journal of Canada. 48(4):387.
 +
*Caltrans. 2004. [http://www.dot.ca.gov/hq/oppd/stormwtr/Studies/BMP-Retro-fit-Report.pdf BMP Retrofit Pilot Program Final Report]. Report No. CTSW-RT-01-050. Division of Environmental Analysis. California Dept. of Transportation, Sacramento, CA.
 +
*CDM Smith. 2012. [http://dotcwsprodweb01.dotcomm.org/appdocs/erosion/downloads/Manual.pdf Omaha Regional Stormwater Design Manual]. Chapter 8 Stormwater Best Management Practices. Kansas City, MO.
 +
*Davis, Allen P., Mohammad Shokouhian, Himanshu Sharma, and Christie Minami. 2001. ''Laboratory study of biological retention for urban stormwater management''. Water Environment Research, 73, no. 1:5-14.
 +
*Davis, Allen P., Mohammad Shokouhian, Himanshu Sharma, and Christie Minami. 2006. ''Water quality improvement through bioretention media: Nitrogen and phosphorus removal''. Water Environment Research 78, no. 3: 284-293.
 +
*Davis, Allen P., Mohammad Shokouhian, Himanshu Sharma, Christie Minami, and Derek Winogradoff. 2003. ''Water quality improvement through bioretention: Lead, copper, and zinc removal''. Water Environment Research 75, no. 1: 73-82.
 +
*DiBlasi, Catherine J., Houng Li, Allen P. Davis, and Upal Ghosh. 2008. ''Removal and fate of polycyclic aromatic hydrocarbon pollutants in an urban stormwater bioretention facility''. Environmental science & technology 43, no. 2: 494-502.
 +
*Dorman, M. E., H. Hartigan, F. Johnson, and B. Maestri. 1988. [ftp://ftp.odot.state.or.us/techserv/Geo-Environmental/Environmental/Procedural%20Manuals/Water%20Quality/Sormwater%20Reference%20Materials/Dorman_etal_Vol1_1996.pdf Retention, detention, and overland flow for pollutant removal from highway stormwater runoff: interim guidelines for management measures]. Final report, September 1985-June 1987. No. PB-89-133292/XAB. Versar, Inc., Springfield, VA (USA).
 +
*Geosyntec Consultants and Wright Water Engineers.  2012.  [http://www.bmpdatabase.org/Docs/Simple%20Summary%20BMP%20Database%20July%202012%20Final.pdf Urban Stormwater BMP Performance Monitoring].  Prepared under Support from U.S. Environmental Protection Agency, Water Environment Research Foundation, Federal Highway Administration, Environmental and Water Resource Institute of the American Society of Civil Engineers.
 +
*Gulliver, J. S., A. J. Erickson, and P.T. Weiss. 2010. [http://stormwaterbook.safl.umn.edu Stormwater treatment: Assessment and maintenance.] University of Minnesota, St. Anthony Falls Laboratory. Minneapolis, MN.
 +
*Hathaway, J. M., W. F. Hunt, and S. Jadlocki. 2009. ''Indicator bacteria removal in storm-water best management practices in Charlotte, North Carolina''. Journal of Environmental Engineering 135, no. 12: 1275-1285.
 +
*Hong, Eunyoung, Eric A. Seagren, and Allen P. Davis. 2006. ''Sustainable oil and grease removal from synthetic stormwater runoff using bench-scale bioretention studies''. Water Environment Research 78, no. 2: 141-155.
 +
*Hsieh, Chi-hsu, and Allen P. Davis. 2005. ''Evaluation and optimization of bioretention media for treatment of urban storm water runoff''. Journal of Environmental Engineering 131, no. 11: 1521-1531.
 +
*Hunt, W. F., A. R. Jarrett, J. T. Smith, and L. J. Sharkey. 2006. ''Evaluating bioretention hydrology and nutrient removal at three field sites in North Carolina''. Journal of Irrigation and Drainage Engineering 132, no. 6: 600-608.
 +
*Jaffe, et. al. 2010.  [http://www.epa.state.il.us/green-infrastructure/docs/draft-final-report.pdf The Illinois Green Infrastructure Study].  Prepared by the University of Illinois at Chicago, Chicago Metropolitan Agency for Planning. Center for Neighborhood Technology, Illinois-Indiana Sea Grant College Program.
 +
*Jurries, Dennis. 2003. [http://www.deq.state.or.us/wq/stormwater/docs/nwr/biofilters.pdf Biofilters (Bioswales, Vegetative Buffers, & Constructed Wetlands) for Storm Water Discharge Pollution Removal.] Quality, State of Oregon, Department of Environmental Quality (Ed.).
 +
*Lefevre G.H., Hozalski R.M., Novak P. 2012. ''The role of biodegradation in limiting the accumulation of petroleum hydrocarbons in raingarden soil''. Water Res. 46(20):6753-62.
 +
*Leisenring, M., J. Clary, and P. Hobson. 2012. ''International Stormwater Best Management Practices (BMP) Database Pollutant Category Summary Statistical Addendum: TSS, Bacteria, Nutrients, and Metals''. July: 1-31.
 +
*Li, Houng, and Allen P. Davis. 2009. ''Water quality improvement through reductions of pollutant loads using bioretention''. Journal of Environmental Engineering 135, no. 8: 567-576.
 +
*Komlos, John, and Robert G. Traver. 2012. ''Long-term orthophosphate removal in a field-scale storm-water bioinfiltration rain garden''. Journal of Environmental Engineering 138, no. 10: 991-998.
 +
*Mid-America Regional Council, and American Public Works Association. 2012. [http://kcmetro.apwa.net/content/chapters/kcmetro.apwa.net/file/Specifications/BMPManual_Oct2012.pdf Manual of best management practices for stormwater quality].
 +
*New Hampshire Department of Environmental Services. 2008. [http://des.nh.gov/organization/divisions/water/stormwater/manual.htm New Hampshire Stormwater Manual]. Volume 2 Appendix B. Concord, NH.
 +
*North Carolina Department of Environment and Natural Resources. 2007. [http://www.ncsu.edu/ehs/environ/DWQ_StormwaterBMPmanual_001%5B1%5D.pdf Stormwater Best Management Practices Manual]. North Carolina Department of Environment and Natural Resources, Raleigh, North Carolina.
 +
*Passeport, Elodie, William F. Hunt, Daniel E. Line, Ryan A. Smith, and Robert A. Brown. 2009. ''Field study of the ability of two grassed bioretention cells to reduce storm-water runoff pollution''. Journal of Irrigation and Drainage Engineering 135, no. 4: 505-510.
 +
*Ohrel, R. 2000. [http://www.stormwatercenter.net/Library/Practice/13.pdf Simple and Complex Stormwater Pollutant Load Models Compared: The Practice of Watershed Protection. Center for Watershed Protection, Ellicott City, MD]. Pages 60-63
 +
*Oregon State University Transportation Officials. Dept. of Civil, Environmental Engineering, University of Florida. Dept. of Environmental Engineering Sciences, GeoSyntec Consultants, and Low Impact Development Center, Inc. 2006. [http://onlinepubs.trb.org/onlinepubs/nchrp/nchrp_rpt_565.pdf Evaluation of Best Management Practices for Highway Runoff Control]. No. 565. Transportation Research Board.
 +
*Schueler, T.R., Kumble, P.A., and Heraty, M.A.  1992. ''A Current Assessment of Urban Best Management Practices: Techniques for Reducing Non-Point Source Pollution in the Coastal Zone''. Metropolitan Washington Council of Governments, Washington, D.C.
 +
*TetraTech.  2008.  [http://www.epa.gov/region1/npdes/stormwater/assets/pdfs/BMP-Performance-Analysis-Report.pdf BMP Performance Analysis].  Prepared for US EPA Region 1, Boston, MA.
 +
*Torres, Camilo. 2010. [http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1012&context=civilengdiss Characterization and Pollutant Loading Estimation for Highway Runoff in Omaha, Nebraska.] M.S. Thesis, University of Nebraska, Lincoln.
 +
*United States EPA. 1999. [http://water.epa.gov/scitech/wastetech/upload/2002_06_28_mtb_biortn.pdf Stormwater technology fact sheet-bioretention.] Office of Water, EPA 832-F-99 12.
 +
*Water Environment Federation.  2014.  [http://www.wef.org/uploadedFiles/Access_Water_Knowledge/Stormwater_and_Wet_Weather/Stormwater_PDFs/WEF-STEPP-White%20Paper_Final_02-06-14%282%29.pdf Investigation into the Feasibility of a National Testing and Evaluation Program for Stormwater Products and Practices].  A White Paper by the National Stormwater Testing and Evaluation of Products and Practices (STEPP) Workgroup Steering Committee.
 +
*WEF, ASCE/EWRI. 2012.  ''Design of Urban Stormwater Controls''. WEF Manual of Practice No. 23, ASCE/EWRI Manuals and Reports on Engineering Practice No. 87.  Prepared by the Design of Urban Stormwater Controls Task Forces of the Water Environment Federation and the American Society of Civil Engineers/Environmental & Water Resources Institute.
 +
*Weiss, Peter T., John S. Gulliver, and Andrew J. Erickson. 2005. [http://www.lrrb.org/media/reports/200523.pdf The Cost and Effectiveness of Stormwater Management Practices Final Report.]. Published by: Minnesota Department of Transportation.
 +
*Wossink, G. A. A., and Bill Hunt. 2003. [http://www.bae.ncsu.edu/stormwater/PublicationFiles/EconStructuralBMPs2003.pdf The economics of structural stormwater BMPs in North Carolina]. Water Resources Research Institute of the University of North Carolina.
  
 
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==Related pages==
 
==Related pages==
 
*Trees
 
*Trees
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**[[Calculating credits for bioretention]]
 
**[[Calculating credits for infiltration basin]]
 
**[[Calculating credits for infiltration basin]]
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**[[Calculating credits for permeable pavement]]
 
**[[Calculating credits for permeable pavement]]
 
**[[Calculating credits for green roofs]]
 
**[[Calculating credits for green roofs]]
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**[[Calculating credits for swale]]
 
**[[Calculating credits for tree trenches and tree boxes]]
 
**[[Calculating credits for tree trenches and tree boxes]]
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The following pages address incorporation of trees into stormwater management under paved surfaces
 
The following pages address incorporation of trees into stormwater management under paved surfaces
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[[Category:Level 3 - Best management practices/Guidance and information/Pollutant removal and credits]]
 
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Latest revision as of 18:43, 13 December 2022

Recommended pollutant removal efficiencies, in percent, for tree trench/tree box BMPs. Sources. NOTE: removal efficiencies are 100 percent for water that is infiltrated.

TSS=total suspended solids; TP=total phosphorus; PP=particulate phosphorus; DP=dissolved phosphorus; TN=total nitrogen

TSS TP PP DP TN Metals Bacteria Hydrocarbons
80 link to table link to table link to table 50 35 95 80
image
Warning: Models are often selected to calculate credits. The model selected depends on your objectives. For compliance with the Construction Stormwater permit, the model must be based on the assumption that an instantaneous volume is captured by the BMP.
image
*The tree interception credit has been updated. See the technical memo
Green Infrastructure: Trees can be an important tool for retention and detention of stormwater runoff. Trees provide additional benefits, including cleaner air, reduction of heat island effects, carbon sequestration, reduced noise pollution, reduced pavement maintenance needs, and cooler cars in shaded parking lots.

Credit refers to the quantity of stormwater or pollutant reduction achieved either by an individual best management practice (BMP) or cumulatively with multiple BMPs. Stormwater credits are a tool for local stormwater authorities who are interested in

This page provides a discussion of how tree trench/tree box practices can achieve stormwater credits. Tree systems with and without underdrains are both discussed, with separate sections for each type of system as appropriate.

Overview

Tree trenches and tree boxes are specialized bioretention practices practices. They are therefore terrestrial-based (up-land as opposed to wetland) water quality and water quantity control process. Tree systems consist of an engineered soil media designed to treat stormwater runoff via filtration through plant and soil media, evapotranspiration from trees, or through infiltration into underlying soil. * Pretreatment is REQUIRED for all bioretention facilities, including tree-based systems, to settle particulates before entering the BMP. Tree practices may be built with or without an underdrain. Other common components may include a stone aggregate layer to allow for increased retention storage and an impermeable liner on the bottom or sides of the facility if located near buildings, subgrade utilities, or in Karst formations.

Pollutant removal mechanisms

schematic of pollutant reductions from tree trench with an underdrain BMP
Schematic illustrating how pollutant reductions (TSS, dissolved and particulate P) are calculated for a tree trench system-tree box.

Like other bioretention practices, tree trenches and tree boxes have high nutrient and pollutant removal efficiencies (Mid-America Regional Council and American Public Works Association Manual of Best Management Practice BMPs for Stormwater Quality, 2012). Tree practices provide pollutant removal and volume reduction through filtration, evaporation, infiltration, transpiration, biological and microbiological uptake, and soil adsorption; the extent of these benefits is highly dependent on site specific conditions and design. In addition to phosphorus and total suspended solids (TSS), which are discussed in greater detail below, tree practices treat a wide variety of other pollutants.

Removal of phosphorus is dependent on the engineered media. Media mixes with high organic matter content typically leach phosphorus and can therefore contribute to water quality degradation. The Manual provides a detailed discussion of media mixes, including information on phosphorus retention.

Location in the treatment train

Stormwater treatment trains are multiple best management practices (BMPs) that work together to minimize the volume of stormwater runoff, remove pollutants, and reduce the rate of stormwater runoff being discharged to Minnesota wetlands, lakes and streams. Tree trenches and tree boxes can be incorporated anywhere in the stormwater treatment train but are most often located in upland areas of the treatment train. The strategic distribution of tree BMPs help control runoff close to the source where it is generated.

Methodology for calculating credits

This section describes the basic concepts and equations used to calculate credits for volume, Total Suspended Solids (TSS) and Total Phosphorus (TP). Specific methods for calculating credits are discussed later in this article.

Tree practices generate credits for volume, TSS, and TP. Practices with underdrains do not substantially reduce the volume of runoff but may qualify for a partial volume credit as a result of evapotranspiration, infiltration occurring through the sidewalls above the underdrain, and infiltration below the underdrain piping. Tree practices are effective at reducing concentrations of other pollutants including nitrogen, metals, bacteria, and hydrocarbons. This article does not provide information on calculating credits for pollutants other than TSS and TP, but references are provided that may be useful for calculating credits for other pollutants.

Assumptions and approach

In developing the credit calculations, it is assumed the tree practice is properly designed, constructed, and maintained in accordance with the Minnesota Stormwater Manual. If any of these assumptions is not valid, the BMP may not qualify for credits or credits should be reduced based on reduced ability of the BMP to achieve volume or pollutant reductions. For guidance on design, construction, and maintenance, see the appropriate article within the tree section of the Manual.

Warning: Pretreatment is required for all filtration and infiltration practices

In the following discussion, the Water Quality Volume (VWQ) is delivered as an instantaneous volume to the BMP. The VWQ is stored within the filter media. The VWQ can vary depending on the stormwater management objective(s). For construction stormwater, VWQ is 1 inch times the new impervious surface area. For MIDS, VWQ is 1.1 inches times the impervious surface area.

Volume credit calculations - no underdrain

Volume credits are calculated based on the capacity of the BMP and its ability to permanently remove stormwater runoff via infiltration into the underlying soil, evapotranspiration (ET) from trees, and interception of rainfall by the tree canopy. The total volume credit, V in cubic feet, is given by

\( V = V_{inf_b}\ + V_{ET}\ + V_I \)

where

Vinf is the volume of captured water that is infiltrated, in cubic feet;
VET is the volume of captured water that is lost to evapotranspiration, in cubic feet; and
VI is the volume of precipitation intercepted by the tree canopy, in cubic feet.

Interception credit

Water intercepted by a tree canopy may evaporate or be slowly released such that it does not contribute to stormwater runoff. An interception credit is given by a simplified value of the interception capacity (Ic) for deciduous and coniferous tree species [1].

  • Ic coniferous = 0.40 inches (2.2 millimeters)
  • Ic deciduous = 0.14 inches (1.1 millimeters)

These values intercept approximately 30% and 57% of annual rainfall over the canopy area.

This credit is per storm event.

Infiltration and ET credits

schematic showing terms used for credit calculations for tree trench
Schematic illustrating terms used for calculating credits for a tree trench system. In calculating the credit for evapotranspiration, use the rooting depth as the depth of media. This would equal the thickness of engineered media and the depth of soil below the engineered media into which tree roots can extend.
Information: In calculating the credit for evapotranspiration, use the rooting depth as the depth of media. This would equal the thickness of engineered media and the depth of soil below the engineered media into which tree roots can extend.

The infiltration and evapotranspiration (ET) credits are assumed to be instantaneous values entirely based on the capacity of the BMP to capture, store, and transmit water in any storm event. Because the volume is calculated as an instantaneous volume, the water quality volume (VWQ) is assumed to be instantly stored in the bioretention media. The volume of water between saturation and field capacity is assumed to infiltrate through the bottom of the BMP. The volume credit (Vinfb) for infiltration through the bottom of the BMP into the underlying soil, in cubic feet, is given by

\( V_{inf_b} = (n-FC)\ D_M\ (A_M + A_B)\ / 2 \)

where

n is the porosity (f) of the media in cubic feet per cubic foot;
FC is the field capacity of the media in cubic feet per cubic foot;
AM is the area at the surface of the media, in square feet;
AB is the area at the bottom of the media, in square feet; and
DM is the media depth within the BMP, in feet. In calculating the credit for evapotranspiration, use the rooting depth as the depth of media. This would equal the thickness of engineered media and the depth of soil below the engineered media into which tree roots can extend.

Vinfb should be calculated to infiltrate within a specific drawdown time. The construction stormwater permit has a 48 hour drawdown requirement (24 hours is recommended for discharges to trout streams).

ET is calculated as the volume of water between field capacity and the permanent wilting point. Two calculations are needed to determine the evapotranspiration (ET) credit. The smaller of the two calculated values will be used as the ET credit.

The first calculation is the volume of water available for ET. This equals the water stored between field capacity and the wilting point. Note this calculation is made for the entire thickness of the media.

The second calculation is the theoretical ET. The theoretical volume of ET lost (Lindsey and Bassuk, 1991) per day per tree is given by

\(ET = (CP) (LAI) (E_{rate}) (E_{ratio})*3\)

Where (see definitions below):

CP is the canopy projection area (square feet);
LAI is the Leaf Area Index;
Erate is the evaporation rate per unit time (feet per day);
Eratio is the evaporation ratio; and
3 accounts for the number of days over which ET occurs (the average number of days between rain events in Minnesota).
Caution: The theoretical ET must be adjusted if the actual soil volume is less than the recommended volume. See the adjustment calculation below.

The canopy projection area (CP) is the perceived tree canopy area at maturity and is given by

\(CP = Π (d/2)^2\)

where d is the diameter of the canopy as measured at the dripline (feet).

CP varies by tree species. Refer to the Tree Species List for these values. Default values can be used in place of calculating CP. Defaults for CP are based on tree size and are

  • 315 for a small tree;
  • 490 for a medium sized tree; and
  • 707 for a large tree.

The leaf area index (LAI) is a dimensionless measure that quantifies the amount of leaf material in a canopy. LAI should be stratified by type into either

  • deciduous tree species (LAI = 3.5 for small trees, 4.1 for medium-sized trees, and 4.7 for large trees), or
  • coniferous tree species (LAI = 5.47).

These values are based on collected research for global leaf area from 1932-2000 (Scurlock, Asner and Gower, 2002).

The evaporation rate (Erate) per unit time can be calculated using a pan evaporation rate for the given area, as available at NOAA. This should be estimated as a per day value.

The evaporation ratio (Eratio) is the equivalent that accounts for the efficiency of the leaves to transpire the available soil water or, alternately, the stomatal resistance of the canopy to transpiration and water movement. This is set at 0.20, or 20 percent based on research by Lindsey and Bassuk (1991). This means that a 1 square centimeter leaf transpires only about 1/5 as much as 1 square centimeter of pan surface.

If the soil volume is less than the recommended volume, the theoretical ET must be adjusted. Since the recommended soil volume equals 2 times the canopy project area (CP), the adjustment term is given by

\(Adjustment = (S_v)/(2 CP)\)

Where Sv is the actual soil volume in cubic feet. Multiply the theoretical ET by the adjustment term to arrive at the true value for theoretical ET.

It is recommended that calculations be based over a three day period. To determine the credit, compare the volume of water available for ET to the theoretical ET over a 3 day period. The credit is the smaller of these two values.

Recommended values for porosity, field capacity and wilting point for different soils.1
Link to this table.

Soil Hydrologic soil group Porosity 2 (volume/volume) Field capacity (volume/volume) Wilting point (volume/volume) Porosity minus field capacity (volume/volume)3 Field capacity minus wilting point (volume/volume)4
Sand A (GM, SW, or SP) 0.43 0.17 0.025 to 0.09 0.26 0.11
Loamy sand A (GM, SW, or SP) 0.44 0.09 0.04 0.35 0.05
Sandy loam A (GM, SW, or SP) 0.45 0.14 0.05 0.31 0.09
Loam B (ML or OL) 0.47 0.25 to 0.32 0.09 to 0.15 0.19 0.16
Silt loam B (ML or OL) 0.50 0.28 0.11 0.22 0.17
Sandy clay loam C 0.4 0.07
Clay loam D 0.46 0.32 0.15 0.14 0.17
Silty clay loam D 0.47 to 0.51 0.30 to 0.37 0.17 to 0.22 0.16 0.14
Sandy clay D 0.43 0.11
Silty clay D 0.47 0.05
Clay D 0.47 0.32 0.20 0.15 0.12

1Sources of information include Saxton and Rawls (2006), Cornell University, USDA-NIFA, Minnesota Stormwater Manual. (See References for trees)
2Soil saturation is assumed to be equal to the porosity.
3This value may be used to represent the volume of water that will drain from a bioretention media.
4This value may be used to estimate the amount of water available for evapotranspiration


The annual volume captured and infiltrated by the BMP can be determined with appropriate modeling tools, including the MIDS calculator. Example values are shown below for a scenario using the MIDS calculator. For example, a permeable pavement system designed to capture 1 inch of runoff from impervious surfaces will capture 89 percent of annual runoff from a site with B (SM) soils.

Annual volume, expressed as a percent of annual runoff, treated by a BMP as a function of soil and Water Quality Volume. See footnote1 for how these were determined.
Link to this table

Soil Water quality volume (VWQ) (inches)
0.5 0.75 1.00 1.25 1.50
A (GW) 84 92 96 98 99
A (SP) 75 86 92 95 97
B (SM) 68 81 89 93 95
B (MH) 65 78 86 91 94
C 63 76 85 90 93

1Values were determined using the MIDS calculator. BMPs were sized to exactly meet the water quality volume for a 2 acre site with 1 acre of impervious, 1 acre of forested land, and annual rainfall of 31.9 inches.


Volume credit calculations - underdrain

water loss mechanisms bioretention with underdrain at bottom
Schematic illustrating the different water loss terms for a biofiltration or tree trench BMP with an underdrain at the bottom.
water loss mechanisms bioretention with raised underdrain
Schematic illustrating the different water loss terms for a biofiltration or tree trench BMP with a raised underdrain.

Volume credits for a tree system with an underdrain include the ET and interception credits discussed above and an infiltration credit. The main design variables impacting the infiltration volume credit include whether the underdrain is elevated above the native soils and if an impermeable liner on the sides or bottom of the basin is used. Other design variables include media top surface area, underdrain location, basin bottom area, total depth of media, soil water holding capacity and media porosity, and infiltration rate of underlying soils. The total volume credit (Vinf), in cubic feet, is given by

\( V_{inf} = V_{inf_b}\ + V_{inf_s}\ + V_U + V_{ET}\ + V_I \)

where:

Vinfb = volume of infiltration through the bottom of the basin (cubic feet);
Vinfs = volume of infiltration through the sides of the basin (cubic feet);
VU = volume of water stored beneath the underdrain that will infiltrate into the underlying soil (cubic feet);
VET = volume of captured water that is lost to evapotranspiration, in cubic feet; and
VI = volume of precipitation intercepted by the tree canopy, in cubic feet.

Volume credits for ET and canopy interception remain the same as shown above

Volume credits for infiltration through the bottom of the basin (Vinfb) are accounted for only if the bottom of the basin is not lined and the BMP permanently removes a portion of the stormwater runoff via infiltration through sidewalls or beneath the underdrain piping. As long as water continues to draw down, some infiltration will occur through the bottom of the BMP. However, it is assumed that when an underdrain is included in the installation, the majority of water will be filtered through the media and exit through the underdrain. Because of this, the drawdown time is likely to be short. Volume credit for infiltration through the bottom of the basin is given by

\( V_{inf_B} = A_B\ DDT\ I_R/12 \)

where

IR = design infiltration rate of underlying soil (inches per hour);
AB = surface area at the bottom of the basin (square feet); and
DDT = drawdown time for ponded water (hours).
Information: The MIDS calculator assigns a default value of 0.06 inches per hour, equivalent to a D soil, to IR. This is based on the assumption that most water will drain to the underdrain, but that some loss to underlying soil will occur. A conservative approach assuming a D soil was thus chosen.

The Construction Stormwater permit requires drawdown within 48 hours and recommends 24 hours when discharges are to a trout stream. With a properly functioning underdrain, the drawdown time is likely to be considerably less than 48 hours.

Volume credit for infiltration through the sides of the basin is accounted for only if the sides of the basin are not lined with an impermeable liner. Volume credit for infiltration through the sides of the basin is given by

\( V_{inf_s} = (A_M - A_U)\ DDT\ I_R/12 \)

where

AM = the area at the media surface (square feet); and
AU = the surface area at the underdrain (square feet).
Information: The MIDS calculator assigns a default value of 0.06 inches per hour, equivalent to a D soil, to IR. This is based on the assumption that most water will drain to the underdrain, but that some loss to underlying soil will occur. A conservative approach assuming a D soil was thus chosen.

This equation assumes water will infiltrate through the entire sideslope area during the period when water is being drawn down. This is not the case, however, since the water level will decline in the BMP. The MIDS calculator assumes a linear drop in water level and thus divides the right hand term in the above equation by 2.

Volume credit for media storage capacity below the underdrain (VU) is accounted for only if the underdrain is elevated above the native soils. Volume credit for media storage capacity below the underdrain is given by

\( V_U = (n-FC)\ D_U\ (A_U + A_B)/2 \)

where

AB = surface area at the bottom of the media (square feet);
n = media porosity (cubic feet per cubic foot);
FC is the field capacity of the soil, in cubic feet per cubic foot; and
DU = the depth of media below the underdrain (feet).

This equation assumes water between the soil porosity and field capacity will infiltrate into the underlying soil. Water stored below the underdrain should infiltrate within a specified drawdown time. The construction stormwater permit has a 48 hour requirement for drawdown (24 hours is recommended when discharges are to trout streams).

The ET and infiltration credits are assumed to be instantaneous values based on the design capacity of the BMP for a specific storm event. Instantaneous volume reduction, also termed event based volume reduction, can be converted to annual volume reduction percentages using the MIDS calculator or other appropriate modeling tools. Assuming an instantaneous volume will somewhat overestimate actual storage when the majority of water is being captured by the underdrains.

The volume of water passing through underdrains can be determined by subtracting the volume loss (V) from the volume of water instantaneously captured by the BMP. No volume reduction credit is given for filtered stormwater that exits through the underdrain, but the volume of filtered water can be used in the calculation of pollutant removal credits through filtration.

Example calculation

A parking lot is developed and will contain tree trenches containing red maple (Acer rubrum). The tree trench has 1000 cubic feet of sandy loam per tree. Note that the following calculations are on a per tree basis. Total volume credit for the BMP will equal the per tree value times the number of trees, assuming all trees are of the same relative size (large in this case). Soil information is from the Soil water storage properties table.

Infiltration credit

The infiltration credit is given by

\((soil volume) (porosity - field capacity) = 1000 * 0.31 = 310 cubic feet\)

Evapotranspiration credit

Using the tree morphology table, red maple is a large tree with a mature canopy of 30 feet. The available storage volume is given by

\(Soil volume (field capacity - wilting point) = 1000 * 0.09 = 90 cubic feet\)

The theoretical ET volume is given by

\((CP) (LAI) (E_{rate}) (E_{ratio}) (adjustment) (3 days) = 707 * 4.7 * 0.02 * 0.2 * (1000/(2 * 707)) * 3 = 28.2 cubic feet\)

The smaller value is the theoretical ET (28.2 cubic feet), so that is the volume credit. Note that if the recommended soil volume of 1414 cubic feet had been used the credit would be 39.9 cubic feet.

To make this calculation we used the default value of 707 for CP and the soil volume information from the table above. The evaporation rate (Erate) of 0.24 inches per day (0.02 feet per day) was from data collected at the Southwest Research and Outreach Center in Lamberton, Minnesota.

Interception credit

The interception credit is given by

\(707 (0.14/12) = 8.14 cubic feet\)

The division by 12 converts the calculation to feet.

Total credit

The total credit is the sum of the infiltration, ET and interception credits and equals (310 + 28.2 + 8.1) or 346.3 cubic feet.

Total suspended solids credit calculations

schematic of pollutant reductions from tree trench with an underdrain BMP
Schematic illustrating how pollutant reductions (TSS, dissolved and particulate P) are calculated for the tree trench system-tree box with an underdrain BMP in the MIDS calculator. If there is no underdrain, pollutant removal for infiltrated water is 100 percent.

TSS reduction credits correspond with volume reduction through infiltration/ET and filtration of water captured by the tree BMP and are given by

\( M_{TSS} = M_{TSS_{i+ET}} + M_{TSS_f} \)

where

MTSS = TSS removal (pounds);
MTSSi+ET = TSS removal from infiltrated and evapotranspired water (pounds); and
MTSSf = TSS removal from filtered water (pounds).

Pollutant removal for infiltrated and evapotranspired water is assumed to be 100 percent. The event-based mass of pollutant removed through infiltration and ET, in pounds, is given by

  • underdrain - \( M_{TSS_{i+ET}} = 0.0000624\ (V_{inf_b} + V_{inf_s} + V_U + V_{ET})\ EMC_{TSS} \)
  • no underdrain - \( M_{TSS_{i+ET}} = 0.0000624\ V_{WQ}\ EMC_{TSS} \)

where

EMCTSS is the event mean TSS concentration in runoff water entering the BMP (milligrams per liter).

The EMCTSS entering the BMP is a function of the contributing land use and treatment by upstream tributary BMPs. For more information on EMC values for TSS, link here. If there is no underdrain, the water quality volume (VWQ)) is used in this calculation.

Removal for the filtered portion is less than 100 percent. The event-based mass of pollutant removed through filtration, in pounds, is given by

\( M_{TSS_f} = 0.0000624\ (V_{total} - (V_{inf_b} + V_{inf_s} + V_U))\ EMC_{TSS}\ R_{TSS} \)

where

Vtotal is the total volume of water captured by the BMP (cubic feet); and
RTSS is the TSS pollutant removal percentage for filtered runoff.

The Stormwater Manual provides a recommended value for RTSS of 0.80 (80 percent removal) for filtered water. Alternate justified percentages for TSS removal can be used if proven to be applicable to the BMP design.

The above calculations may be applied on an event or annual basis and are given by

\( M_{TSS_f} = 2.72\ F\ V_{annual}\ EMC_{TSS}\ R_{TSS} \)

where

F is the fraction of annual volume filtered through the BMP; and
Vannual is the annual volume treated by the BMP, in acre-feet.

Phosphorus credit calculations

Total phosphorus (TP) reduction credits correspond with volume reduction through infiltration/ET and filtration of water captured by the tree BMP and are given by

\( M_{TP} = M_{TP_{i+ET}} + M_{TP_f} \)

where

MTP = TP removal (pounds);
MTPi+ET = TP removal from infiltrated and evapotranspired water (pounds); and
MTPf = TP removal from filtered water (pounds).

Pollutant removal for infiltrated water is assumed to be 100 percent. The mass of pollutant removed through infiltration and ET, in pounds, is given by

  • underdrain - \( M_{TP_{i+ET}} = 0.0000624\ (V_{inf_b} + V_{inf_s} + V_U + V_{ET})\ EMC_{TP} \)
  • no underdrain - \( M_{TP_{i+ET}} = 0.0000624\ V_{WQ})\ EMC_{TP} \)

where

EMCTP is the event mean TP concentration in runoff water entering the BMP (milligrams per liter).

The EMCTP entering the BMP is a function of the contributing land use and treatment by upstream tributary BMPs.

The filtration credit for TP in an underdrained system assumes removal rates based on the soil media mix used and the presence or absence of amendments. Soil mixes with more than 30 mg/kg phosphorus (P) content are likely to leach phosphorus and do not qualify for a water quality credit. If the soil phosphorus concentration is less than 30 mg/kg, the mass of phosphorus removed through filtration, in pounds, is given by

\( M_{TP_f} = 0.0000624\ (V_{total} - (V_{inf_b} + V_{inf_s} + V_U + V_{ET}))\ EMC_{TP}\ R_{TP} \)

Information: Soil mixes C and D are assumed to contain less than 30 mg/kg of phosphorus and therefore do not require testing

Again, assuming the phosphorus content in the media is less than 30 milligrams per kilogram, the removal efficiency (RTP) provided in the Stormwater Manual is a function of the fraction of phosphorus that is in particulate or dissolved form, the depth of the media, and the presence or absence of soil amendments. For the purpose of calculating credits it can be assumed that TP in storm water runoff consists of 55 percent particulate phosphorus (PP) and 45 percent dissolved phosphorus (DP). The removal efficiency for particulate phosphorus is 80 percent. The removal efficiency for dissolved phosphorus is 20 percent if the media depth is 2 feet or greater. The efficiency decreases by 1 percent for each 0.1 foot decrease in media thickness below 2 feet. If a soil amendment is added to the BMP design, an additional 40 percent credit is applied to dissolved phosphorus. Thus, the overall removal efficiency, (RTP), expressed as a percent removal of total phosphorus, is given by

\( R_{TP} = (0.8 * 0.55) + (0.45 * ((0.2 * (D_{MU_{max=2}})/2) + 0.40_{if amendment is used})) * 100 \)

where

the first term on the right side of the equation represents the removal of particulate phosphorus;
the second term on the right side of the equation represents the removal of dissolved phosphorus; and
DMUmax=2 = the media depth above the underdrain, up to a maximum of 2 feet.

The assumption of 55 percent particulate phosphorus and 45 percent dissolved phosphorus is likely inaccurate for certain land uses, such as industrial, transportation, and some commercial areas. Studies indicate particulate phosphorus comprises a greater percent of total phosphorus in these land uses. It may therefore be appropriate to modify the above equation with locally derived ratios for particulate and dissolved phosphorus. For more information on fractionation of phosphorus in stormwater runoff, link here.

The following table can be used to calculate phosphorus credits.

Phosphorus credits for bioretention systems with an underdrain. This includes tree trenches and dry swales.
Link to this table

Particulate phosphorus (PP) Dissolved phosphorus (DP)
Is Media Mix C or D being used or, if using a mix other than C or D, is the media phosphorus content 30 mg/kg or less per the Mehlich 3 (or equivalent) test1?
  • If yes, particulate credit = 100% of the particulate fraction (assumed to be 55% of total P)
  • If no or unknown, particulate credit = 0%

The assumption of 55 percent particulate phosphorus and 45 percent dissolved phosphorus is likely inaccurate for certain land uses, such as industrial, transportation, and some commercial areas. Studies indicate particulate phosphorus comprises a greater percent of total phosphorus in these land uses. It may therefore be appropriate to modify the above equation with locally derived ratios for particulate and dissolved phosphorus. For more information on fractionation of phosphorus in stormwater runoff, link here.


Example PP removal credit

  • Particulate fraction (55% of TP) * removal rate for that fraction (80% for bioretention and tree trench and 68% for swale main channel) = 0.55 * 0.80 = 0.44 or 44% for bioretention and tree trench (with underdrain) and 0.55 * 0.68 or 36% for swale main channel (with underdrain)
  • If particulate is 75% of TP, removal = 0.75 * 0.80 or 60% for bioretention and tree trench (with underdrain) and 0.75 * 0.68 or 51% for dry swale
1. Is Media Mix C or D being used or, if using a mix other than C or D, is the media phosphorus content 30 mg/kg or less per the Mehlich 3 (or equivalent) test1?
  • If yes, credit as a % (up to a maximum of 20%) = 20 * (depth of media above underdrain, in feet/2)
  • If no or unknown, credit = 0%

2. Does the system include approved P-sorbing soil amendments2?

  • If yes, additional 40% credit


Example DP removal credit

  • DP removal if dissolved credit is 20% = Dissolved fraction (45%) * removal rate for that fraction (20%) = 0.09 or 9 percent
  • Adjust DP removal if depth is less than 2 feet. Example depth = 1 foot then DP removal = 0.45 * 10% * 1/2 = 0.045
  • Adjust DP removal if dissolved credit is higher due to use of P-sorbing soil amendments
  • Adjust if the fraction (percentage) of DP is different than 45%

The assumption of 55 percent particulate phosphorus and 45 percent dissolved phosphorus is likely inaccurate for certain land uses, such as industrial, transportation, and some commercial areas. Studies indicate particulate phosphorus comprises a greater percent of total phosphorus in these land uses. It may therefore be appropriate to modify the above equation with locally derived ratios for particulate and dissolved phosphorus. For more information on fractionation of phosphorus in stormwater runoff, link here.

TP removal = PP removal + DP removal

1Other widely accepted soil P tests may be used. Note: a basic conversion of test results may be necessary
2Acceptable P sorption amendments include

  • 5% by volume elemental iron filings above IWS or elevated underdrain
  • minimum 5% by volume sorptive media above IWS or elevated underdrain
  • minimum 5% by weight water treatment residuals (WTR) to a depth of at least 10 cm
  • other P sorptive amendments with supporting third party research results showing P reduction for at least 20 year lifespan, P credit commensurate with research results


Example calculations

Example 1 Assume the following:

  • A tree trench with an underdrain has 1 foot of media above the underdrain
  • 50 percent of annual runoff is infiltrated into the underlying soil
  • 40 percent of annual runoff is captured by the underdrain
  • 10 percent of annual runoff bypasses the BMP
  • Media Mix A is used and soil phosphorus is 32 milligrams per kilogram
  • Water Treatment Residuals, 7 percent by weight, have been mixed into the top 15 centimeters of the media.

The credits are as follows

  • 100 percent credit for infiltrated runoff = 50 percent of annual runoff = 50 percent of annual phosphorus load
  • For water that is captured by the underdrain
    • The media is Mix A with a P content greater than 30 milligrams per kilogram, resulting in no credit for particulate or dissolved phosphorus
    • A P-sorbing amendment has been added to the media and meets the requirements for a credit of 40 percent. The credit applies to the dissolved portion of phosphorus, which is 45 percent of total phosphorus. The credit is therefore 40 percent times 45 percent times the annual runoff volume of 40 percent, resulting in a credit of 7 percent of total annual P (0.4 * 0.45 * 0.4).
  • No credit for water that bypasses the BMP
  • The total credit is 57 percent of the annual P load.

Example 2 Assume the following:

  • A tree trench with an underdrain has 1 foot of media above the underdrain
  • 50 percent of annual runoff is infiltrated into the underlying soil
  • 40 percent of annual runoff is captured by the underdrain
  • 10 percent of annual runoff bypasses the BMP
  • Media Mix C is used

The credits are as follows

  • 100 percent credit for infiltrated runoff = 50 percent of annual runoff = 50 percent of annual phosphorus load
  • For water that is captured by the underdrain
    • The media is Mix C resulting in 80 percent credit for particulate phosphorus. Since particulate P is 55 percent of total P, the credit is 0.80 * 0.55 * 0.40 = 18 percent. The value of 0.4 in the equation accounts for 40 percent of the annual runoff volume.
    • The media mix is C and there is 1 foot of media above the underdrain. The credit is 0.2 * 1/2 * 0.45 = 5 percent. The 1/2 adjusts for the thickness of media above the underdrain and the 0.45 accounts for 45 percent of total phosphorus being in dissolved form.
  • No credit for water that bypasses the BMP
  • The total phosphorus credit is 73 percent of the annual P load (50 + 18 +5).

Methods for calculating credits

Tree trenches and tree boxes are specialized bioretention BMPs. This section provides specific information on generating and calculating credits from bioretention BMPS, including tree-based systems, for volume, Total Suspended Solids (TSS) and Total Phosphorus (TP). Stormwater runoff volume and pollution reductions (“credits”) may be calculated using one of the following methods:

  1. Quantifying volume and pollution reductions based on accepted hydrologic models
  2. The Simple Method and MPCA Estimator
  3. MIDS Calculator
  4. Quantifying volume and pollution reductions based on values reported in literature
  5. Quantifying volume and pollution reductions based on field monitoring

Credits based on models

Warning: The model selected depends on your objectives. For compliance with the Construction Stormwater permit, the model must be based on the assumption that an instantaneous volume is captured by the BMP.

Users may opt to use a water quality model or calculator to compute volume, TSS and/or TP pollutant removal for the purpose of determining credits. The available models described below are commonly used by water resource professionals, but are not explicitly endorsed or required by the Minnesota Pollution Control Agency. Furthermore, many of the models listed below cannot be used to determine compliance with the Construction Stormwater General permit since the permit requires the water quality volume to be calculated as an instantaneous volume.

Use of models or calculators for the purpose of computing pollutant removal credits should be supported by detailed documentation, including:

  • Model name and version
  • Date of analysis
  • Person or organization conducting analysis
  • Detailed summary of input data
  • Calibration and verification information
  • Detailed summary of output data

The following table lists water quantity and water quality models that are commonly used by water resource professionals to predict the hydrologic, hydraulic, and/or pollutant removal capabilities of a single or multiple stormwater BMPs. The table can be used to guide a user in selecting the most appropriate model for computing volume, TSS, and/or TP removal for bioretention BMPs, including tree-based systems. In using this table, use the sort arrow on the table to select Infiltrator BMPs or Filter BMPs, depending on the type of tree BMP and the terminology used in the model.

Comparison of stormwater models and calculators. Additional information and descriptions for some of the models listed in this table can be found at this link. Note that the Construction Stormwater General Permit requires the water quality volume to be calculated as an instantaneous volume, meaning several of these models cannot be used to determine compliance with the permit.
Link to this table
Access this table as a Microsoft Word document: File:Stormwater Model and Calculator Comparisons table.docx.

Model name BMP Category Assess TP removal? Assess TSS removal? Assess volume reduction? Comments
Constructed basin BMPs Filter BMPs Infiltrator BMPs Swale or strip BMPs Reuse Manu-
factured devices
Center for Neighborhood Technology Green Values National Stormwater Management Calculator X X X X No No Yes Does not compute volume reduction for some BMPs, including cisterns and tree trenches.
CivilStorm Yes Yes Yes CivilStorm has an engineering library with many different types of BMPs to choose from. This list changes as new information becomes available.
EPA National Stormwater Calculator X X X No No Yes Primary purpose is to assess reductions in stormwater volume.
EPA SWMM X X X Yes Yes Yes User defines parameter that can be used to simulate generalized constituents.
HydroCAD X X X No No Yes Will assess hydraulics, volumes, and pollutant loading, but not pollutant reduction.
infoSWMM X X X Yes Yes Yes User defines parameter that can be used to simulate generalized constituents.
infoWorks ICM X X X X Yes Yes Yes
i-Tree-Hydro X No No Yes Includes simple calculator for rain gardens.
i-Tree-Streets No No Yes Computes volume reduction for trees, only.
LSPC X X X Yes Yes Yes Though developed for HSPF, the USEPA BMP Web Toolkit can be used with LSPC to model structural BMPs such as detention basins, or infiltration BMPs that represent source control facilities, which capture runoff from small impervious areas (e.g., parking lots or rooftops).
MapShed X X X X Yes Yes Yes Region-specific input data not available for Minnesota but user can create this data for any region.
MCWD/MWMO Stormwater Reuse Calculator X Yes No Yes Computes storage volume for stormwater reuse systems
Metropolitan Council Stormwater Reuse Guide Excel Spreadsheet X No No Yes Computes storage volume for stormwater reuse systems. Uses 30-year precipitation data specific to Twin Cites region of Minnesota.
MIDS Calculator X X X X X X Yes Yes Yes Includes user-defined feature that can be used for manufactured devices and other BMPs.
MIKE URBAN (SWMM or MOUSE) X X X Yes Yes Yes User defines parameter that can be used to simulate generalized constituents.
P8 X X X X Yes Yes Yes
PCSWMM X X X Yes Yes Yes User defines parameter that can be used to simulate generalized constituents.
PLOAD X X X X X Yes Yes No User-defined practices with user-specified removal percentages.
PondNet X Yes No Yes Flow and phosphorus routing in pond networks.
PondPack X [ No No Yes PondPack can calculate first-flush volume, but does not model pollutants. It can be used to calculate pond infiltration.
RECARGA X No No Yes
SHSAM X No Yes No Several flow-through structures including standard sumps, and proprietary systems such as CDS, Stormceptors, and Vortechs systems
SUSTAIN X X X X X Yes Yes Yes Categorizes BMPs into Point BMPs, Linear BMPs, and Area BMPs
SWAT X X X Yes Yes Yes Model offers many agricultural BMPs and practices, but limited urban BMPs at this time.
Virginia Runoff Reduction Method X X X X X X Yes No Yes Users input Event Mean Concentration (EMC) pollutant removal percentages for manufactured devices.
WARMF X X Yes Yes Yes Includes agriculture BMP assessment tools. Compatible with USEPA Basins
WinHSPF X X X Yes Yes Yes USEPA BMP Web Toolkit available to assist with implementing structural BMPs such as detention basins, or infiltration BMPs that represent source control facilities, which capture runoff from small impervious areas (e.g., parking lots or rooftops).
WinSLAMM X X X X Yes Yes Yes
XPSWMM X X X Yes Yes Yes User defines parameter that can be used to simulate generalized constituents.


The Simple Method and MPCA Estimator

The Simple Method is a technique used for estimating storm pollutant export delivered from urban development sites. Pollutant loads are estimated as the product of event mean concentration and runoff depths over specified periods of time (usually annual or seasonal). The method was developed to provide an easy yet reasonably accurate means of predicting the change in pollutant loadings in response to development. Ohrel (2000) states: "In general, the Simple Method is most appropriate for small watersheds (<640 acres) and when quick and reasonable stormwater pollutant load estimates are required". Rainfall data, land use (runoff coefficients), land area, and pollutant concentration are needed to use the Simple Method. For more information on the Simple Method, see The Simple method to Calculate Urban Stormwater Loads or The Simple Method for estimating phosphorus export.

Some simple stormwater calculators utilize the Simple Method (EPA STEPL, Watershed Treatment Model). The MPCA developed a simple calculator for estimating load reductions for TSS, total phosphorus, and bacteria. Called the MPCA Estimator, this tool was developed specifically for complying with the MS4 General Permit TMDL annual reporting requirement. The MPCA Estimator provides default values for pollutant concentration, runoff coefficients for different land uses, and precipitation, although the user can modify these and is encouraged to do so when local data exist. The user is required to enter area for different land uses and area treated by BMPs within each of the land uses. BMPs include infiltrators (e.g. bioinfiltration, infiltration basin, tree trench, permeable pavement, etc.), filters (biofiltration, sand filter, green roof), constructed ponds and wetlands, and swales/filters. The MPCA Estimator includes standard removal efficiencies for these BMPs, but the user can modify those values if better data are available. Output from the calculator is given as a load reduction (percent, mass, or number of bacteria) from the original estimated load.

Caution: The MPCA Estimator should not be used for modeling a stormwater system or selecting BMPs.

Because the MPCA Estimator does not consider BMPs in series, makes simplifying assumptions about runoff and pollutant removal processes, and uses generalized default information, it should only be used for estimating pollutant reductions from an estimated load. It is not intended as a decision-making tool.

Download MPCA Estimator here

MIDS Calculator

mids logo
Download the MIDS Calculator

The Minimal Impact Design Standards (MIDS) best management practice (BMP) calculator is a tool used to determine stormwater runoff volume and pollutant reduction capabilities of various low impact development (LID) BMPs. The MIDS calculator estimates the stormwater runoff volume reductions for various BMPs and annual pollutant load reductions for total phosphorus (including a breakdown between particulate and dissolved phosphorus) and total suspended solids (TSS). The calculator was intended for use on individual development sites, though capable modelers could modify its use for larger applications.

The MIDS calculator is designed in Microsoft Excel with a graphical user interface (GUI), packaged as a windows application, used to organize input parameters. The Excel spreadsheet conducts the calculations and stores parameters, while the GUI provides a platform that allows the user to enter data and presents results in a user-friendly manner.

Detailed guidance has been developed for all BMPs in the calculator, including tree systems with an underdrain and without an underdrain. An overview of individual input parameters and workflows is presented in the MIDS Calculator User Documentation.

Credits based on reported literature values

A simplified approach to computing a credit would be to apply a reduction value found in literature to the pollutant mass load or concentration (EMC) entering the BMP. Concentration reductions resulting from treatment can be converted to mass reductions if the volume of stormwater treated is known.

Designers may use the pollutant reduction values reported in this manual or may research values from other databases and published literature. Designers who opt for this approach should

  • select the median value from pollutant reduction databases that report a range of reductions, such as from the International BMP Database;
  • select a pollutant removal reduction from literature that studied a BMP with site characteristics and climate similar to the device being considered for credits;
  • review the article to determine that the design principles of the studied BMP are close to the design recommendations for Minnesota, as described in this manual and/or by a local permitting agency; and
  • give preference to literature that has been published in a peer-reviewed publication.
Information: Tree trenches and tree boxes are bioretention practices, but there is limited information in the literature on pollutant removal in tree-based systems. The following references provide information for bioretention systems, which can be applied to tree-based practices

The following references summarize pollutant reduction values from multiple studies or sources that could be used to determine credits for bioretention systems. Users should note that there is a wide range of monitored pollutant removal effectiveness in the literature. Before selecting a literature value, users should compare the characteristics of the monitored site in the literature against the characteristics of the proposed bioretention device, considering such conditions as watershed characteristics, bioretention sizing, soil infiltration rates, and climate factors.

  • International Stormwater Best Management Practices (BMP) Database Pollutant Category Summary Statistical Addendum: TSS, Bacteria, Nutrients, and Metals
    • Compilation of BMP performance studies published through 2011
    • Provides values for TSS, Bacteria, Nutrients, and Metals
    • Applicable to grass strips, bioretention, bioswales, detention basins, green roofs, manufactured devices, media filters, porous pavements, wetland basins, and wetland channels
  • Updated BMP Removal Efficiencies from the National Pollutant Removal Database (2007) & Acceptable BMP Table for Virginia
    • Provides data for several structural and non-structural BMP performance evaluations
  • The Illinois Green Infrastructure Study
    • Figure ES-1 summarizes BMP effectiveness
    • Provides values for TN, TSS, peak flows / runoff volumes
    • Applicable to permeable pavements, constructed wetlands, infiltration, detention, filtration, and green roofs
  • New Hampshire Stormwater Manual
    • Volume 2, Appendix B summarizes BMP effectiveness
    • Provides values for TSS, TN, and TP removal
    • Applicable to basins and wetlands, stormwater wetlands, infiltration practices, filtering practices, treatment swales, vegetated buffers, and pre-treatment practices
  • Design Guidelines for Stormwater Bioretention Facilities. University of Wisconsin, Madison
    • Table 2-1 summarizes typical removal rates
    • Provides values for TSS, metals, TP, TKN, ammonium, organics, and bacteria
    • Applicable for bioretention
  • BMP Performance Analysis. Prepared for US EPA Region 1, Boston MA.
    • Appendix B provides pollutant removal performance curves
    • Provides values for TP, TSS, and zinc
    • Pollutant removal broken down according to land use
    • Applicable to infiltration trench, infiltration basin, bioretention, grass swale, wet pond, and porous pavement
  • Weiss, P.T., J.S. Gulliver and A.J. Erickson. 2005. The Cost and Effectiveness of Stormwater Management Practices: Final Report
    • Table 8 and Appendix B provides pollutant removal efficiencies for TSS and P
    • Applicable to wet basins, stormwater wetlands, bioretention filter, sand filter, infiltration trench, and filter strips/grass swales

Credits based on field monitoring

Field monitoring may be made in lieu of desktop calculations or models/calculators as described. Careful planning is HIGHLY RECOMMENDED before commencing a program to monitor the performance of a BMP. The general steps involved in planning and implementing BMP monitoring include the following.

  1. Establish the objectives and goals of the monitoring. When monitoring BMP performance, typical objectives may include the following.
    1. Which pollutants will be measured?
    2. Will the monitoring study the performance of a single BMP or multiple BMPs?
    3. Are there any variables that will affect the BMP performance? Variables could include design approaches, maintenance activities, rainfall events, rainfall intensity, etc.
    4. Will the results be compared to other BMP performance studies?
    5. What should be the duration of the monitoring period? Is there a need to look at the annual performance vs the performance during a single rain event? Is there a need to assess the seasonal variation of BMP performance?
  2. Plan the field activities. Field considerations include
    1. equipment selection and placement;
    2. sampling protocols including selection, storage, and delivery to the laboratory;
    3. laboratory services;
    4. health and Safety plans for field personnel;
    5. record keeping protocols and forms; and
    6. quality control and quality assurance protocols
  3. Execute the field monitoring
  4. Analyze the results

This manual contains the following guidance for monitoring.

The following guidance manuals have been developed to assist BMP owners and operators on how to plan and implement BMP performance monitoring.

Urban Stormwater BMP Performance Monitoring

Geosyntec Consultants and Wright Water Engineers prepared this guide in 2009 with support from the USEPA, Water Environment Research Foundation, Federal Highway Administration, and the Environment and Water Resource Institute of the American Society of Civil Engineers. This guide was developed to improve and standardize the protocols for all BMP monitoring and to provide additional guidance for Low Impact Development (LID) BMP monitoring. Highlighted chapters in this manual include:

  • Chapter 2: Developing a monitoring plan. Describes a seven-step approach for developing a monitoring plan for collection of data to evaluate BMP effectiveness.
  • Chapter 3: Methods and Equipment for hydrologic and hydraulic monitoring
  • Chapter 4: Methods and equipment for water quality monitoring
  • Chapters 5 (Implementation) and 6 (Data Management, Evaluation and Reporting)
  • Chapter 7: BMP Performance Analysis
  • Chapters 8 (LID Monitoring), 9 (LID data interpretation]), and 10 (Case studies).
Evaluation of Best Management Practices for Highway Runoff Control (NCHRP Report 565)

AASHTO (American Association of State Highway and Transportation Officials) and the FHWA (Federal Highway Administration) sponsored this 2006 research report, which was authored by Oregon State University, Geosyntec Consultants, the University of Florida, and the Low Impact Development Center. The primary purpose of this report is to advise on the selection and design of BMPs that are best suited for highway runoff. The document includes chapters on performance monitoring that may be a useful reference for BMP performance monitoring, especially for the performance assessment of a highway BMP.

  • Chapter 4: Stormwater Characterization
    • 4.2: General Characteristics and Pollutant Sources
    • 4.3: Sources of Stormwater Quality data
  • Chapter 8: Performance Evaluation
    • 8.1: Methodology Options
    • 8.5: Evaluation of Quality Performance for Individual BMPs
    • 8.6: Overall Hydrologic and Water Quality Performance Evaluation
  • Chapter 10: Hydrologic Evaluation
    • 10.5: Performance Verification and Design Optimization
Investigation into the Feasibility of a National Testing and Evaluation Program for Stormwater Products and Practices
  • In 2014 the Water Environment Federation released this White Paper that investigates the feasibility of a national program for the testing of stormwater products and practices. The report does not include any specific guidance on the monitoring of a BMP, but it does include a summary of the existing technical evaluation programs that could be consulted for testing results for specific products (see Table 1 on page 8).
Caltrans Stormwater Monitoring Guidance Manual (Document No. CTSW-OT-13-999.43.01)]

The most current version of this manual was released by the State of California, Department of Transportation in November 2013. As with the other monitoring manuals described, this manual does include guidance on planning a stormwater monitoring program. However, this manual is among the most thorough for field activities. Relevant chapters include.

  • Chapter 4: Monitoring Methods and Equipment
  • Chapter 5: Analytical Methods and Laboratory Selection
  • Chapter 6: Monitoring Site Selection
  • Chapter 8: Equipment Installation and Maintenance
  • Chapter 10: Pre-Storm Preparation
  • Chapter 11: Sample Collection and Handling
  • Chapter 12: Quality Assurance / Quality Control
  • Chapter 13: Laboratory Reports and Data Review
  • Chapter 15: Gross Solids Monitoring
Optimizing Stormwater Treatment Practices: A Handbook of Assessment and Maintenance

This online manual was developed in 2010 by Andrew Erickson, Peter Weiss, and John Gulliver from the University of Minnesota and St. Anthony Falls Hydraulic Laboratory with funding provided by the Minnesota Pollution Control Agency. The manual advises on a four-level process to assess the performance of a Best Management Practice.

Level 1 activities do not produce numerical performance data that could be used to obtain a stormwater management credit. BMP owners and operators who are interested in using data obtained from Levels 2 and 3 should consult with the MPCA or other regulatory agency to determine if the results are appropriate for credit calculations. Level 4, Monitoring, is the method most frequently used for assessment of the performance of a BMP.

Use these links to obtain detailed information on the following topics related to BMP performance monitoring:

Other pollutants

In addition to TSS and phosphorus, bioretention BMPs can reduce loading of other pollutants. According to the International Stormwater Database, studies have shown that bioretention BMPs are effective at reducing concentrations of pollutants, including metals, and bacteria. A compilation of the pollutant removal capabilities from a review of literature are summarized below.

Relative pollutant reduction from bioretention systems for metals, nitrogen, bacteria, and organics.
Link to this table

Pollutant Constituent Treatment capabilities1
Metals2 Cadmium, Chromium, Copper, Zinc, Lead High
Nitrogen2 Total nitrogen, Total Kjeldahl nitrogen Low/medium
Bacteria2 Fecal coliform, e. coli High
Organics Petroleum hydrocarbons3, Oil/grease4 High

1 Low: < 30%; Medium: 30 to 65%; High: >65%
2 International Stormwater Database, (2012)
3 LeFevre et al., (2012)
4 Hsieh and Davis (2005).
See Reference list


References and suggested reading

To see how some other cities are calculating tree credits, see Cities That are Pioneers in Developing Stormwater Credit Systems for Trees (Shanstrom, 2014)

  • Brown, Robert A., and William F. Hunt III. 2010. Impacts of media depth on effluent water quality and hydrologic performance of undersized bioretention cells. Journal of Irrigation and Drainage Engineering 137, no. 3: 132-143.
  • Brown, R. A., and W. F. Hunt. 2011. Underdrain configuration to enhance bioretention exfiltration to reduce pollutant loads. Journal of Environmental Engineering 137, no. 11: 1082-1091.
  • Bureau of Environmental Services. 2006. Effectiveness Evaluation of Best Management Practices for Stormwater Management in Portland. Oregon. Bureau of Environmental Services, Portland, Oregon.
  • California Stormwater Quality Association. 2003. California Stormwater BMP Handbook-New Development and Redevelopment. California Stormwater Quality Association, Menlo Park, CA.
  • Chris, Denich, Bradford Andrea, and Drake Jennifer. 2013. Bioretention: assessing effects of winter salt and aggregate application on plant health, media clogging and effluent quality. Water Quality Research Journal of Canada. 48(4):387.
  • Caltrans. 2004. BMP Retrofit Pilot Program Final Report. Report No. CTSW-RT-01-050. Division of Environmental Analysis. California Dept. of Transportation, Sacramento, CA.
  • CDM Smith. 2012. Omaha Regional Stormwater Design Manual. Chapter 8 Stormwater Best Management Practices. Kansas City, MO.
  • Davis, Allen P., Mohammad Shokouhian, Himanshu Sharma, and Christie Minami. 2001. Laboratory study of biological retention for urban stormwater management. Water Environment Research, 73, no. 1:5-14.
  • Davis, Allen P., Mohammad Shokouhian, Himanshu Sharma, and Christie Minami. 2006. Water quality improvement through bioretention media: Nitrogen and phosphorus removal. Water Environment Research 78, no. 3: 284-293.
  • Davis, Allen P., Mohammad Shokouhian, Himanshu Sharma, Christie Minami, and Derek Winogradoff. 2003. Water quality improvement through bioretention: Lead, copper, and zinc removal. Water Environment Research 75, no. 1: 73-82.
  • DiBlasi, Catherine J., Houng Li, Allen P. Davis, and Upal Ghosh. 2008. Removal and fate of polycyclic aromatic hydrocarbon pollutants in an urban stormwater bioretention facility. Environmental science & technology 43, no. 2: 494-502.
  • Dorman, M. E., H. Hartigan, F. Johnson, and B. Maestri. 1988. Retention, detention, and overland flow for pollutant removal from highway stormwater runoff: interim guidelines for management measures. Final report, September 1985-June 1987. No. PB-89-133292/XAB. Versar, Inc., Springfield, VA (USA).
  • Geosyntec Consultants and Wright Water Engineers. 2012. Urban Stormwater BMP Performance Monitoring. Prepared under Support from U.S. Environmental Protection Agency, Water Environment Research Foundation, Federal Highway Administration, Environmental and Water Resource Institute of the American Society of Civil Engineers.
  • Gulliver, J. S., A. J. Erickson, and P.T. Weiss. 2010. Stormwater treatment: Assessment and maintenance. University of Minnesota, St. Anthony Falls Laboratory. Minneapolis, MN.
  • Hathaway, J. M., W. F. Hunt, and S. Jadlocki. 2009. Indicator bacteria removal in storm-water best management practices in Charlotte, North Carolina. Journal of Environmental Engineering 135, no. 12: 1275-1285.
  • Hong, Eunyoung, Eric A. Seagren, and Allen P. Davis. 2006. Sustainable oil and grease removal from synthetic stormwater runoff using bench-scale bioretention studies. Water Environment Research 78, no. 2: 141-155.
  • Hsieh, Chi-hsu, and Allen P. Davis. 2005. Evaluation and optimization of bioretention media for treatment of urban storm water runoff. Journal of Environmental Engineering 131, no. 11: 1521-1531.
  • Hunt, W. F., A. R. Jarrett, J. T. Smith, and L. J. Sharkey. 2006. Evaluating bioretention hydrology and nutrient removal at three field sites in North Carolina. Journal of Irrigation and Drainage Engineering 132, no. 6: 600-608.
  • Jaffe, et. al. 2010. The Illinois Green Infrastructure Study. Prepared by the University of Illinois at Chicago, Chicago Metropolitan Agency for Planning. Center for Neighborhood Technology, Illinois-Indiana Sea Grant College Program.
  • Jurries, Dennis. 2003. Biofilters (Bioswales, Vegetative Buffers, & Constructed Wetlands) for Storm Water Discharge Pollution Removal. Quality, State of Oregon, Department of Environmental Quality (Ed.).
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Related pages

The following pages address incorporation of trees into stormwater management under paved surfaces

This page was last edited on 13 December 2022, at 18:43.