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The Simple Method is a technique used for estimating storm pollutant export delivered from urban development sites. The method was developed to provide an easy yet reasonably accurate means of predicting the change in pollutant loadings in response to development. This information is needed by planners and engineers to make rational non-point source pollution decisions at the site level.  
 
The Simple Method is a technique used for estimating storm pollutant export delivered from urban development sites. The method was developed to provide an easy yet reasonably accurate means of predicting the change in pollutant loadings in response to development. This information is needed by planners and engineers to make rational non-point source pollution decisions at the site level.  
  
The Simple Method Calculation is intended for use on development sites less than a square mile in area. As with any simple model, the method to some degree sacrifices precision for the sake of simplicity and generality. Even so, the Simple Method is still reliable enough to use as a basis for making non-point pollution management decisions at the site level.  
+
The Simple Method calculation is intended for use on development sites less than a square mile in area. As with any simple model, the method to some degree sacrifices precision for the sake of simplicity and generality. Even so, the Simple Method is still reliable enough to use as a basis for making non-point pollution management decisions at the site level. Phosphorus pollutant loading (L, in pounds per year) from a development site can be determined by solving equation 1, shown below.
 
 
Phosphorus pollutant loading (L, in pounds per year) from a development site can be determined by solving the equation displayed in Table L.1.
 
  
 
==Factors used in calculating phosphorus pollutant loading==
 
==Factors used in calculating phosphorus pollutant loading==
  
==='''Depth of Rainfall (P)'''===
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==='''Depth of rainfall (P)'''===
 
The value of P represents the number of inches of precipitation that falls during the course of a normal year of rainfall. Long-term weather records around the state of Minnesota suggest that the average annual rainfall depth is about 26 inches. This can be used to estimate P or a user can substitute the average annual rainfall depth from the closest National Weather Service long-term weather station or other suitable locations for which a reliable record can be demonstrated (> 10 years).
 
The value of P represents the number of inches of precipitation that falls during the course of a normal year of rainfall. Long-term weather records around the state of Minnesota suggest that the average annual rainfall depth is about 26 inches. This can be used to estimate P or a user can substitute the average annual rainfall depth from the closest National Weather Service long-term weather station or other suitable locations for which a reliable record can be demonstrated (> 10 years).
  
==='''Correction Factor (P)'''===
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==='''Correction factor (P)'''===
The Pj factor is used to account for the fraction of the annual rainfall that does not produce any measurable runoff. Many of the storms that occur during the year are so minor that all of the rainfall is stored in surface depressions and eventually evaporates. As a consequence, no runoff is produced. An analysis of regional rainfall/runoff patterns indicates that only 90% of the annual rainfall volume produces any runoff at all. Therefore, Pj should be set at 0.9.
+
The P<sub>j</sub> factor is used to account for the fraction of the annual rainfall that does not produce any measurable runoff. Many of the storms that occur during the year are so minor that all of the rainfall is stored in surface depressions and eventually evaporates. As a consequence, no runoff is produced. An analysis of regional rainfall/runoff patterns indicates that only 90 percent of the annual rainfall volume produces any runoff at all. Therefore, P<sub>j</sub> should be set at 0.9.
  
==='''Runoff Coefficient (Rv)'''===
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==='''Runoff coefficient (R<sub>v</sub>)'''===
The Rv is a measure of the site response to rainfall events, and in theory is calculated as:  
+
The runoff coefficient (R<sub>v</sub>) is a measure of the site response to rainfall events, and in theory is calculated as R<sub>v</sub> = r/p, where ''r'' and ''p'' are the volume of storm runoff and storm rainfall, respectively, expressed as inches. The R<sub>v</sub> for the site depends on the nature of the soils, topography, and cover. However, the primary influence on the R<sub>v</sub> in urban areas is the amount of imperviousness of the site. Impervious area is defined as those surfaces in the landscape that cannot infiltrate rainfall consisting of building rooftops, pavement, sidewalks, driveways, etc. In the equation R<sub>v</sub> = 0.05 + 0.009(I), ''I'' represents the percentage of impervious cover expressed as a whole number. A site that is 75% impervious would use ''I'' = 75 for the purposes of calculating R<sub>v</sub>. To see runoff coefficients for different land uses, [https://www.hec.usace.army.mil/confluence/hmsdocs/hmstrm/cn-tables link here].
  
::Rv = r/p, where r and p are the volume of storm runoff and storm rainfall, respectively, expressed as inches.
+
==='''Site area (A)'''===
 
 
The Rv for the site depends on the nature of the soils, topography, and cover. However, the primary influence on the Rv in urban areas is the amount of imperviousness of the site. Impervious area is defined as those surfaces in the landscape that cannot infiltrate rainfall consisting of building rooftops, pavement, sidewalks, driveways, etc. In the equation:
 
 
 
::Rv = 0.05 + 0.009(I)
 
 
 
:“I” represents the percentage of impervious cover expressed as a whole number. A site that is 75% impervious would use I = 75 for the purposes of calculating R<sub>v</sub>.
 
 
 
==='''Site Area (A)'''===
 
 
The total area of the site (in acres) can be directly obtained from site plans. If the total area of the site is greater than one square mile (640 acres), the Simple Method may not be appropriate and applicants should consider utilizing other approaches, such as modeling or monitoring.
 
The total area of the site (in acres) can be directly obtained from site plans. If the total area of the site is greater than one square mile (640 acres), the Simple Method may not be appropriate and applicants should consider utilizing other approaches, such as modeling or monitoring.
  
==='''Pollutant Concentration (C)'''===
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==='''Pollutant concentration (C)'''===
Statistical analysis of several urban runoff monitoring datasets has shown that the average storm concentrations for total phosphorus do not significantly differ between new and existing development sites. Therefore, a pollutant concentration, C, of 0.30 mg/l should be used in this equation as a default. However, if good local data are available or an adjustment is needed, this factor can be customized for local condition.
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Statistical analysis of several urban runoff monitoring datasets has shown that the average storm concentrations for total phosphorus do not significantly differ between new and existing development sites. Therefore, a pollutant concentration, ''C'', of 0.30 milligrams per liter (mg/l) should be used in this equation as a default. However, if good local data are available or an adjustment is needed, this factor can be customized for local condition.
  
Chapter 8 contains a range of C values for those interested in conducting a more detailed analysis of phosphorus export.
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The phosphorus pollutant export calculation is described by
  
The Simple Method equation listed in Table L.1 can be simplified to the equation shown in Table L.2. Applicants with verified data indicating alternative values may choose to use the original Simple Method equation as represented in Table 1; otherwise, Table L.2 represents the revised Simple Method equation and associated values.
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<math>L = 0.227 P P_j R_v C A</math>
  
 +
where
 +
:L = Load of a pollutant in pounds per year;
 +
:P = Rainfall depth per year (inches);
 +
:P<sub>j</sub> = Fraction of rainfall events that produce runoff;
 +
:R<sub>v</sub> = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff. Rv = 0.05 + 0.009(I);
 +
:I = Site imperviousness (i.e., I = 75 if site is 75% impervious);
 +
:C = Flow-weighted mean concentration of the pollutant in urban runoff (mg/l); and
 +
:A = Area of the development site (acres).
  
 +
The above equation can be simplified to
  
'''2. Calculating Pre-Development and Post-Development'''
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<math>L = 0.20 P R_v C A</math>
  
'''Phosphorus Load'''
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=='''Calculating pre-development and post-development phosphorus load'''==
  
The methodology for comparing annual pre-development pollutant loads to post-development pollutant loads is a six-step process (Table L.3).
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The methodology for comparing annual pre-development pollutant loads to post-development pollutant loads is a six-step process:
 
+
#Calculate site imperviousness;
===== Step 1: Calculate Site Imperviousness =====
+
#Calculate the pre-development phosphorus load;
 +
#calculate post-development pollutant load;
 +
#Calculate the pollutant removal requirement;
 +
#Identify feasible BMPs; and
 +
#Select off-site mitigation option.
  
 +
===Step 1: Calculate site imperviousness===
 
In this step, the applicant calculates the impervious cover of the pre-development (existing) and post-development (proposed) site conditions.  
 
In this step, the applicant calculates the impervious cover of the pre-development (existing) and post-development (proposed) site conditions.  
  
Impervious cover is defined as those surfaces in the landscape that impede the infiltration of rainfall and result in an increased volume of surface runoff. As a simple rule, human-made surfaces that are not vegetated will be considered impervious. Impervious surfaces include roofs, buildings, paved streets and parking areas and any concrete, asphalt, compacted dirt or compacted
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Impervious cover is defined as those surfaces in the landscape that impede the infiltration of rainfall and result in an increased volume of surface runoff. As a simple rule, human-made surfaces that are not vegetated will be considered impervious. Impervious surfaces include roofs, buildings, paved streets and parking areas and any concrete, asphalt, compacted dirt or compacted gravel surface.
 
 
gravel surface.
 
 
 
 
 
 
 
===== Step 2: Calculate Pre-Development Phosphorus Load =====
 
In this step, the applicant calculates stormwater phosphorus loadings from the site prior to development. Depending on the development classification, the applicant will use one of two equations (Table L.4). The equation to determine phosphorus loading in a redevelopment situation is based on the Simple Method. The equation to determine phosphorus loading in a new development situation utilizes a benchmark load for undeveloped areas, which is based on average phosphorus loadings for a typical mix of undeveloped land uses.
 
 
 
 
 
 
 
===== Step 3: Calculate Post-Development Pollutant Load =====
 
In this step, the applicant calculates stormwater phosphorus loadings from the post-development, or proposed, site. Again, an abbreviated version of the Simple Method is used for the calculations, and the equation is the same for both new development and redevelopment sites (Table L.5). '''Ta'''
 
 
 
 
 
 
 
'''Table L.1 Phosphorus Pollutant Export Calculation'''
 
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;">
 
'''L = [(P)(P<sub>j</sub>)(R<sub>v</sub>)/12] (C) (A) (2.72)*'''</div>
 
Where:
 
::L = Load of a pollutant in pounds per year
 
::P = Rainfall depth per year (inches)
 
::P<sub>j</sub> = Fraction of rainfall events that produce runoff
 
::R<sub>v</sub> = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff. Rv = 0.05 + 0.009(I)
 
::C = Flow-weighted mean concentration of the pollutant in urban runoff (mg/l)
 
::A = Area of the development site (acres)
 
 
 
<nowiki>*12 and 2.72 are unit conversion factors</nowiki>
 
 
 
  
 +
===Step 2: Calculate pre-development phosphorus load===
 +
{{alert|The following equations use default values for phosphorus loading. It is best to use site-specific data if possible. If site-specific data are not available, values from the literature can be used for loading from specific land uses. For more information and phosphorus load information for different land uses, see [[Phosphorus in stormwater]].|alert-warning}}
  
'''Table L.2 Simplified Pollutant Loading Calculation'''
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In this step, the applicant calculates stormwater phosphorus loadings from the site prior to development. Loading estimates in a new development situation utilizes a benchmark load for undeveloped areas based on average phosphorus loadings for a typical mix of undeveloped land uses and is given by
  
<div class="center" style="width:auto; margin-left:auto; margin-right:auto;">
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<math>L_{pre} = 0.05 A</math>
'''L = [(P)( (R<sub>v</sub>) (C) (A) (0.20)*'''</div>
 
  
Where:
+
where
 +
:L<sub>pre</sub> = Average annual load of total phosphorus exported from the site prior to development (lbs/year);
 +
:0.05 = Annual total phosphorus load from undeveloped lands (lbs/acre/year); and
 +
:A = Area of the site (acres).
  
::L = Load of a pollutant in pounds per year
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The equation to determine phosphorus loading in a redevelopment situation is based on the Simple Method and is given by
::P = Rainfall depth per year (inches)
 
::R<sub>v</sub> = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff = 0.05 + 0.009(I)
 
::I = Site imperviousness (i.e., I = 75 if site is 75% impervious)
 
::C = Flow-weighted mean concentration of the pollutant (total phosphorus) in urban runoff (mg/l) = 0.30 mg/l**
 
::A = Area of the development site (acres)
 
  
::<nowiki>*0.20 is a regional constant and unit conversion factor</nowiki>
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<math>L_{pre} = 0.20 P R_v C A</math>
::<nowiki>** The C factor can be customized if good local water quality data exist or if an adjustment in </nowiki>the 0.30
 
  
===== Step 4: Calculate the Pollutant Removal Requirement =====
+
where;
The phosphorus load generated from the post-development site must be reduced so that it is 90% or less of the load generated prior to development, In this example, a 10% reduction in phosphorus loading from pre-development conditions is used. This should not be construed as a recommended reduction for the State of Minnesota. Applicants should check with local stormwater authorities to determine if specific pre- to post-development phosphorus reduction requirements exist. The amount of phosphorus that must be removed through the use of stormwater BMPs is called the Pollutant Removal Requirement (RR). The equation in Table L.6 expresses this term numerically
+
:L<sub>pre</sub> = Average annual load of total phosphorus exported from the site prior to development (lbs/year);
 +
:P = Rainfall depth over the desired time interval (inches);
 +
:R<sub>v</sub> = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff = 0.05 + 0.009(Ipre);
 +
:I<sub>pre</sub> = Pre-development (existing) site imperviousness (i.e., I = 75 if site is 75% impervious);
 +
:C = Flow-weighted mean concentration of the pollutant (total P);
 +
:A = Area of the development site (acres); and
 +
:0.20 is a regional constant and unit conversion factor
  
 +
===Step 3: Calculate post-development pollutant load===
 +
In this step, the applicant calculates stormwater phosphorus loadings from the post-development, or proposed, site. Again, an abbreviated version of the Simple Method is used for the calculations, and the equation is the same for both new development and redevelopment sites.
  
 +
<math>L_{post} = 0.20 P R_v C A</math>
  
'''Table L.3 Process For Calculating Pre- and Post-Development Pollutant Loads'''
+
where:
::# Calculate Site Imperviousness
+
:L<sub>post</sub> = Average annual load of total phosphorus exported from the post-development site (lbs/year);
::# Calculate the Pre-Development Phosphorus Load
+
:P = Rainfall depth over the desired time interval (inches);
::# Calculate Post-Development Pollutant Load
+
:R<sub>v</sub> = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff = 0.05 + 0.009(I<sub>post</sub>);
::# Calculate the Pollutant Removal Requirement
+
:I<sub>post</sub> = Post-development (proposed) site imperviousness (i.e., I = 75 if site is 75% impervious);
::# Identify Feasible BMPs
+
:C = Flow-weighted mean concentration of the pollutant (total phosphorus) in urban runoff (mg/l)= 0.30 mg/l;
::# Select Off-Site Mitigation Option
+
:A = Area of the development site (acres); and
 +
:0.20 is a regional constant and unit conversion factor.
  
 +
===Step 4: Calculate the pollutant removal requirement===
 +
The phosphorus load generated from the post-development site must be reduced so that it is 90 percent or less of the load generated prior to development. In this example, a 10 percent reduction in phosphorus loading from pre-development conditions is used. This should not be construed as a recommended reduction for the State of Minnesota. Applicants should check with local stormwater authorities to determine if specific pre- to post-development phosphorus reduction requirements exist. The amount of phosphorus that must be removed through the use of stormwater BMPs is called the Pollutant Removal Requirement (RR) and is given by
  
'''Table L.4 Method For Calculating Pre-development Phosphorus Loading'''
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<math>RR = L_{post} - 0.9 L_{pre}</math>
  
<big>'''<div class="center" style="width:auto; margin-left:auto; margin-right:auto;">New Development Phosphorus Loading, L<sub>pre</sub> = 0.5 (A)</div></big>Where:'''
+
where
::L<sub>pre</sub> = Average annual load of total phosphorus exported from the site prior to development (lbs/year)
+
:RR= Pollutant removal requirement (lbs/year);
::0.5 = Annual total phosphorus load from undeveloped lands (lbs/acre/year)
+
:L<sub>post</sub> = Average annual load of total phosphorus exported from the post-development site (lbs/year);
::A = Area of the site (acres)
+
:L<sub>pre</sub> = Average annual load of total phosphorus exported from the site prior to development (lbs/year); and
 +
:0.90 is suggested post-development phosphorus load reduction. Local requirements may vary.
  
 +
===Step 5: Identify feasible BMPs===
 +
Step 5 looks at the ability of the chosen BMP to meet the site’s pollutant removal requirements. The pollutant load removed by each BMP is calculated using the average BMP removal rate, the computed post-development load, and the drainage area served. If the load removed is equal to or greater than the pollutant removal requirement computed in Step 4, then the on-site BMP complies. If not, the designer must evaluate alternative BMP designs to achieve higher removal efficiencies, add additional BMPs, design the project so that more of the site is treated by the proposed BMPs, or design the BMP to treat runoff from an off-site area.
  
<big>''''''<div class="center" style="width:auto; margin-left:auto; margin-right:auto;">'''Redevelopment Phosphorus Loading, Lpre = (P) (Rv) (C) (A) (0.20)</div>'''
+
<math>LR = L_{post} BMP_{RE} DA</math>
'''</big>Where:
 
  
::L<sub>pre</sub> = Average annual load of total phosphorus exported from the site prior to development (lbs/year)
+
where
::P = Rainfall depth over the desired time interval (inches)
+
:LR = Annual total phosphorus load removed by the proposed BMP (lbs/year);
::R<sub>v</sub> = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff = 0.05 + 0.009(Ipre)
+
:L<sub>post</sub> = Average annual load of total phosphorus exported from the post-development site prior to development (lbs/year);
::I<sub>pre</sub> = Pre-development (existing) site imperviousness (i.e., I = 75 if site is 75% impervious)
+
:BMP<sub>RE</sub> = BMP removal efficiency for total phosphorus (%); and
::C = Flow-weighted mean concentration of the pollutant (total p
+
:DA = Fraction of the drainage area served by the BMP (%)
::A = Area of the development site (acres)
 
  
::<nowiki>*0.20 is a regional constant and unit conversion factor</nowiki>
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===Step 6: Select off-Site mitigation option===
 
 
 
 
 
 
===== Step 5: Identify Feasible BMPs =====
 
Step 5 looks at the ability of the chosen BMP to meet the site’s pollutant removal requirements. The pollutant load removed by each BMP (Table L.7) is calculated using the average BMP removal rate (Table L.8), the computed post-development load, and the drainage area served.
 
 
 
If the load removed is equal to or greater than the pollutant removal requirement computed in Step 4, then the on-site BMP complies. If not, the designer must evaluate alternative BMP designs to achieve higher removal efficiencies, add additional BMPs, design the project so that more of the site is treated by the proposed BMPs, or design the BMP to treat runoff from an off-site area.
 
 
 
 
 
 
 
'''Table L.5 Method For Calculating Post-Development Phosphorus Loading'''
 
 
 
<big>'''<div class="center" style="width:auto; margin-left:auto; margin-right:auto;">L<sub>post</sub> = (P) (R<sub>v</sub>) (C) (A) (0.20</div>
 
</big>
 
Where:
 
::L<sub>post</sub> = Average annual load of total phosphorus exported from the post-development site (lbs/year)
 
::P = Rainfall depth over the desired time interval (inches)
 
::R<sub>v</sub> = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff = 0.05 + 0.009(I<sub>post</sub>)
 
::I<sub>post</sub> = Post-development (proposed) site imperviousness (i.e., I = 75 if site is 75% impervious)
 
::C = Flow-weighted mean concentration of the pollutant (total phosphorus) in urban runoff (mg/l)= 0.30 mg/l
 
::A = Area of the development site (acres)
 
 
 
<nowiki>*0.20 is a regional constant and unit conversion factor</nowiki>
 
 
 
 
 
'''Table L.6 Computing Pollutant Removal Requirements'''
 
 
 
<big>'''<div class="center" style="width:auto; margin-left:auto; margin-right:auto;">RR = L<sub>post</sub> - 0.9(L<sub>pre</sub>)</div>
 
'''</big>
 
Where:
 
::RR*= Pollutant removal requirement (lbs/year)
 
::L<sub>post</sub> = Average annual load of total phosphorus exported from the post-development site (lbs/year)
 
::L<sub>pre</sub> = Average annual load of total phosphorus exported from the site prior to development (lbs/year)
 
 
 
::<nowiki>*0.90 is suggested post-development phosphorus load reduction. Local requirements may vary.</nowiki>
 
 
 
'''Table L.7 Estimate of Pollutant Load Removed by Each BMP'''
 
 
 
<big>'''<div class="center" style="width:auto; margin-left:auto; margin-right:auto;">LR = (L<sub>post</sub>) (BMP<sub>RE</sub>) (% DA Served</div>'''</big>'''LR = (Lpost) (BMPRE) (% DA Served)'''
 
 
 
Where:
 
 
 
::LR = Annual total phosphorus load removed by the proposed BMP (lbs/year)
 
::L<sub>post</sub> = Average annual load of total phosphorus exported from the post-development site prior to development (lbs/year)
 
::BMP<sub>RE</sub> = BMP removal efficiency for total phosphorus, Table 8 (%)
 
% DA Served = Fraction of the drainage area served by the BMP (%)
 
 
 
 
 
 
 
===== Step 6: Select Off-Site Mitigation Option =====
 
 
If the pollutant removal requirement has been met through the application of on-site stormwater BMPs, the process is complete.
 
If the pollutant removal requirement has been met through the application of on-site stormwater BMPs, the process is complete.
  
In the event that on-site BMPs cannot fully meet the pollutant removal requirement and on-site design cannot be changed, an offset fee should be charge (e.g. $X per pound of phosphorus).
+
In the event that on-site BMPs cannot fully meet the pollutant removal requirement and on-site design cannot be changed, an offset fee should be charge (e.g. &#36;X per pound of phosphorus).
 
 
<table class="sortable">
 
<tr>
 
<th>BMP Group</th>
 
<th>BMP Design Variation</th>
 
<th>Average TP Removal Rate<sup>b</sup></th>
 
<th>Maximum TP Removal Rate<sup>c</sup></th>
 
<th>Average Soluble P Removal Rate<sup>d</sup></th>
 
<tr></tr>
 
<td>Bioretention</td>
 
<td>Underdrain</td>
 
<td>50%
 
<td>65%
 
<td>60%
 
<tr></tr>
 
<td> </td>
 
<td>Infiltration</td>
 
</tr>
 
<td>100
 
<td>100
 
<td>100
 
<tr>
 
<tr></tr>
 
<td>Filtration</td>
 
<td>Sand Filter</td>
 
<td>50
 
<td>55
 
<td>0
 
<tr></tr>
 
<td> </td>
 
<td>Infiltration</td>
 
</tr>
 
<td>100
 
<td>100
 
<td>100
 
<tr>
 
 
 
<td>Outdoor Materials</td>
 
<td>
 
*Spills at loading areas
 
*Hosing/washing of loading areas into shop or storm drains
 
*Wash-off of uncovered bulk materials and liquids stored outside, of particular concern in MN are road salt storage areas
 
*Leaks and spills
 
</td>
 
</tr>
 
<tr>
 
<td>Waste Management</td>
 
<td>
 
*Spills and leaks of liquids
 
*Dumping into storm drains
 
*Leaking dumpsters (Dumpster juice)
 
*Wash-off of dumpster spillage
 
*Accumulation of particulate deposits</td></tr>
 
<tr><td>Physical Plant Maintenance</td><td>
 
*Discharges from power washing and steam cleaning
 
*Wash-off of fine particles from painting/sandblasting operations
 
*Rinse water and wash water discharges during cleanup
 
*Temporary outdoor storage
 
*Runoff from degreasing and re-surfacing</td></tr>
 
<tr><td>Turf and Landscaping</td><td>
 
*Non-target irrigation
 
*Runoff of nutrients and pesticides
 
*Deposition and subsequent washoff of soil and organic matter on impervious surfaces
 
*Improper rinsing of fertilizer/pesticide applicators</td>
 
</tr>
 
<tr><td>Unique PSH Operations (Pools, Golf Courses, Marinas, Construciton, Restaurants, Hobby Famrs)</td><td>
 
Varies but includes:
 
*Discharge of chlorinated water from pools
 
*Improper disposal of sewage and grease
 
*Wash off of livestock manure
 
*Soil erosion
 
*Runooff of pesticides
 
*Salt storage</td></tr>
 
<tr>
 
<td>Image Example</td>
 
<td>[[File:testing.png|200px]]</td>
 
</tr>
 
<tr>
 
<td>Empty Circle</td>
 
<td>{{circle|empty}}</td>
 
</tr>
 
 
 
<tr>
 
<td>Quarter Circle</td>
 
<td>{{circle|quarter}}</td>
 
</tr>
 
 
 
<tr>
 
<td>Half Circle</td>
 
<td>{{circle|half}}</td>
 
</tr>
 
 
 
<tr>
 
<td>Full Circle</td>
 
<td>{{circle|full}}</td>
 
</tr>
 
</table>
 
 
 
 
 
 
 
 
 
BMP Group BMP Design Variation Average TP Removal Rateb Maximum TP Removal Rate Average Soluble P Removal Rate d, g
 
 
 
Bioretention Underdrain 50% 65% 60%
 
 
 
Infiltration 100 100 100
 
 
 
Filtration Sand Filter 50 55 0
 
 
 
Dry Swale 0 55 0
 
 
 
Wet Swale 0 40 0
 
 
 
Infiltration f,i
 
 
 
Infiltration Trench 100 100 100
 
 
 
Infiltration Basin 100 100 100
 
 
 
Stormwater Ponds Wet Pond 50 75 70
 
 
 
Multiple Pond 60 75 75
 
 
 
Stormwater Wetlands Shallow Wetland 40 55 50
 
 
 
Pond/Wetland 55 75 65
 
 
 
a Removal rates shown in table are a composite of five sources: ASCE/EPA International BMP Database (<nowiki>www.bmpdatabase.org</nowiki>); Caraco (CWP), 2001; MDE, 2000; Winer (CWP), 2000; and Issue Paper D P8 (William Walker, <nowiki>http://wwwalker.net/p8/</nowiki>) modeling
 
 
 
b Average removal efficiency expected under MPCA CGP Sizing Rules 1 and 3 (see Chapter 10)
 
 
 
c Upper limit on phosphorus removal with increased sizing and design features, based on national review
 
 
 
d Average rate of soluble phosphorus removal in literature
 
 
 
e See also Appendix N (link) and Chapter 12 for details.
 
 
 
f Note that the performance numbers apply only to that portion of total flow actually being treated; it does notinclude any runoff that by-passes the BMP
 
 
 
g Note that soluble P can transfer from surface water to ground water, but this column refers only to surface
 
 
 
water
 
  
h Note that 100% is assumed for all infiltration, but only for that portion of the flow fully treated in theinfiltration facility; by-passed runoff or runoff diverted via underdrain does not receive this level of treatment
+
{{:Comparative BMP phosphorus removal}}
  
IMPORTANT NOTE: Removal rates shown here are composite averages intended solely for use in comparing performance between BMP designs and for use in calculating load reduction in site-based TP models. They have been adapted, rounded and slightly discounted from statistical values published in BMP performance databases.
+
<noinclude>
 +
=='''References'''==
 +
*Caraco, D. 2001. ''Managing Phosphorus Inputs Into Lakes III: Evaluating the Impact of Watershed Treatment.'' Watershed Protection Techniques. 3 (4): 791-796. Center for Watershed Protection. Ellicott City, MD.
 +
*Maryland Department of the Environment (MDE). 2000. 2000 [https://mde.maryland.gov/programs/water/stormwatermanagementprogram/pages/stormwater_design.aspx Maryland Stormwater Design Manual]. MDE. Baltimore, MD.
 +
*Winer, R. 2000. [http://www.stormwatercenter.net/Library/STP-Pollutant-Removal-Database.pdf National Pollutant Removal Performance Database for Stormwater Treatment Practices]. 2nd Edition. Center for Watershed Protection. Ellicott City, MD.
  
'''3. References'''
+
[[Category:Level 2 - Models and modeling/Specific models]]
*Caraco, D. 2001. “Managing Phosphorus Inputs Into Lakes III: Evaluating the Impact of Watershed Treatment.” Watershed Protection Techniques. 3 (4): 791-796. Center for Watershed Protection. Ellicott City, MD.
+
[[Category:Level 2 - Models and modeling/General model information]]
*Maryland Department of the Environment (MDE). 2000. 2000 Maryland Stormwater Design Manual. MDE. Baltimore, MD.
+
</noinclude>
*Winer, R. 2000. National Pollutant Removal Performance Database for Stormwater Treatment Practices. 2nd Edition. Center for Watershed Protection. Ellicott City, MD.
 

Latest revision as of 21:01, 20 February 2023

The Simple Method is a technique used for estimating storm pollutant export delivered from urban development sites. The method was developed to provide an easy yet reasonably accurate means of predicting the change in pollutant loadings in response to development. This information is needed by planners and engineers to make rational non-point source pollution decisions at the site level.

The Simple Method calculation is intended for use on development sites less than a square mile in area. As with any simple model, the method to some degree sacrifices precision for the sake of simplicity and generality. Even so, the Simple Method is still reliable enough to use as a basis for making non-point pollution management decisions at the site level. Phosphorus pollutant loading (L, in pounds per year) from a development site can be determined by solving equation 1, shown below.

Factors used in calculating phosphorus pollutant loading

Depth of rainfall (P)

The value of P represents the number of inches of precipitation that falls during the course of a normal year of rainfall. Long-term weather records around the state of Minnesota suggest that the average annual rainfall depth is about 26 inches. This can be used to estimate P or a user can substitute the average annual rainfall depth from the closest National Weather Service long-term weather station or other suitable locations for which a reliable record can be demonstrated (> 10 years).

Correction factor (P)

The Pj factor is used to account for the fraction of the annual rainfall that does not produce any measurable runoff. Many of the storms that occur during the year are so minor that all of the rainfall is stored in surface depressions and eventually evaporates. As a consequence, no runoff is produced. An analysis of regional rainfall/runoff patterns indicates that only 90 percent of the annual rainfall volume produces any runoff at all. Therefore, Pj should be set at 0.9.

Runoff coefficient (Rv)

The runoff coefficient (Rv) is a measure of the site response to rainfall events, and in theory is calculated as Rv = r/p, where r and p are the volume of storm runoff and storm rainfall, respectively, expressed as inches. The Rv for the site depends on the nature of the soils, topography, and cover. However, the primary influence on the Rv in urban areas is the amount of imperviousness of the site. Impervious area is defined as those surfaces in the landscape that cannot infiltrate rainfall consisting of building rooftops, pavement, sidewalks, driveways, etc. In the equation Rv = 0.05 + 0.009(I), I represents the percentage of impervious cover expressed as a whole number. A site that is 75% impervious would use I = 75 for the purposes of calculating Rv. To see runoff coefficients for different land uses, link here.

Site area (A)

The total area of the site (in acres) can be directly obtained from site plans. If the total area of the site is greater than one square mile (640 acres), the Simple Method may not be appropriate and applicants should consider utilizing other approaches, such as modeling or monitoring.

Pollutant concentration (C)

Statistical analysis of several urban runoff monitoring datasets has shown that the average storm concentrations for total phosphorus do not significantly differ between new and existing development sites. Therefore, a pollutant concentration, C, of 0.30 milligrams per liter (mg/l) should be used in this equation as a default. However, if good local data are available or an adjustment is needed, this factor can be customized for local condition.

The phosphorus pollutant export calculation is described by

\(L = 0.227 P P_j R_v C A\)

where

L = Load of a pollutant in pounds per year;
P = Rainfall depth per year (inches);
Pj = Fraction of rainfall events that produce runoff;
Rv = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff. Rv = 0.05 + 0.009(I);
I = Site imperviousness (i.e., I = 75 if site is 75% impervious);
C = Flow-weighted mean concentration of the pollutant in urban runoff (mg/l); and
A = Area of the development site (acres).

The above equation can be simplified to

\(L = 0.20 P R_v C A\)

Calculating pre-development and post-development phosphorus load

The methodology for comparing annual pre-development pollutant loads to post-development pollutant loads is a six-step process:

  1. Calculate site imperviousness;
  2. Calculate the pre-development phosphorus load;
  3. calculate post-development pollutant load;
  4. Calculate the pollutant removal requirement;
  5. Identify feasible BMPs; and
  6. Select off-site mitigation option.

Step 1: Calculate site imperviousness

In this step, the applicant calculates the impervious cover of the pre-development (existing) and post-development (proposed) site conditions.

Impervious cover is defined as those surfaces in the landscape that impede the infiltration of rainfall and result in an increased volume of surface runoff. As a simple rule, human-made surfaces that are not vegetated will be considered impervious. Impervious surfaces include roofs, buildings, paved streets and parking areas and any concrete, asphalt, compacted dirt or compacted gravel surface.

Step 2: Calculate pre-development phosphorus load

Caution: The following equations use default values for phosphorus loading. It is best to use site-specific data if possible. If site-specific data are not available, values from the literature can be used for loading from specific land uses. For more information and phosphorus load information for different land uses, see Phosphorus in stormwater.

In this step, the applicant calculates stormwater phosphorus loadings from the site prior to development. Loading estimates in a new development situation utilizes a benchmark load for undeveloped areas based on average phosphorus loadings for a typical mix of undeveloped land uses and is given by

\(L_{pre} = 0.05 A\)

where

Lpre = Average annual load of total phosphorus exported from the site prior to development (lbs/year);
0.05 = Annual total phosphorus load from undeveloped lands (lbs/acre/year); and
A = Area of the site (acres).

The equation to determine phosphorus loading in a redevelopment situation is based on the Simple Method and is given by

\(L_{pre} = 0.20 P R_v C A\)

where;

Lpre = Average annual load of total phosphorus exported from the site prior to development (lbs/year);
P = Rainfall depth over the desired time interval (inches);
Rv = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff = 0.05 + 0.009(Ipre);
Ipre = Pre-development (existing) site imperviousness (i.e., I = 75 if site is 75% impervious);
C = Flow-weighted mean concentration of the pollutant (total P);
A = Area of the development site (acres); and
0.20 is a regional constant and unit conversion factor

Step 3: Calculate post-development pollutant load

In this step, the applicant calculates stormwater phosphorus loadings from the post-development, or proposed, site. Again, an abbreviated version of the Simple Method is used for the calculations, and the equation is the same for both new development and redevelopment sites.

\(L_{post} = 0.20 P R_v C A\)

where:

Lpost = Average annual load of total phosphorus exported from the post-development site (lbs/year);
P = Rainfall depth over the desired time interval (inches);
Rv = Runoff coefficient, which expresses the fraction of rainfall which is converted into runoff = 0.05 + 0.009(Ipost);
Ipost = Post-development (proposed) site imperviousness (i.e., I = 75 if site is 75% impervious);
C = Flow-weighted mean concentration of the pollutant (total phosphorus) in urban runoff (mg/l)= 0.30 mg/l;
A = Area of the development site (acres); and
0.20 is a regional constant and unit conversion factor.

Step 4: Calculate the pollutant removal requirement

The phosphorus load generated from the post-development site must be reduced so that it is 90 percent or less of the load generated prior to development. In this example, a 10 percent reduction in phosphorus loading from pre-development conditions is used. This should not be construed as a recommended reduction for the State of Minnesota. Applicants should check with local stormwater authorities to determine if specific pre- to post-development phosphorus reduction requirements exist. The amount of phosphorus that must be removed through the use of stormwater BMPs is called the Pollutant Removal Requirement (RR) and is given by

\(RR = L_{post} - 0.9 L_{pre}\)

where

RR= Pollutant removal requirement (lbs/year);
Lpost = Average annual load of total phosphorus exported from the post-development site (lbs/year);
Lpre = Average annual load of total phosphorus exported from the site prior to development (lbs/year); and
0.90 is suggested post-development phosphorus load reduction. Local requirements may vary.

Step 5: Identify feasible BMPs

Step 5 looks at the ability of the chosen BMP to meet the site’s pollutant removal requirements. The pollutant load removed by each BMP is calculated using the average BMP removal rate, the computed post-development load, and the drainage area served. If the load removed is equal to or greater than the pollutant removal requirement computed in Step 4, then the on-site BMP complies. If not, the designer must evaluate alternative BMP designs to achieve higher removal efficiencies, add additional BMPs, design the project so that more of the site is treated by the proposed BMPs, or design the BMP to treat runoff from an off-site area.

\(LR = L_{post} BMP_{RE} DA\)

where

LR = Annual total phosphorus load removed by the proposed BMP (lbs/year);
Lpost = Average annual load of total phosphorus exported from the post-development site prior to development (lbs/year);
BMPRE = BMP removal efficiency for total phosphorus (%); and
DA = Fraction of the drainage area served by the BMP (%)

Step 6: Select off-Site mitigation option

If the pollutant removal requirement has been met through the application of on-site stormwater BMPs, the process is complete.

In the event that on-site BMPs cannot fully meet the pollutant removal requirement and on-site design cannot be changed, an offset fee should be charge (e.g. $X per pound of phosphorus).

General summary of comparative BMP phosphorus removal performancea,e,f
Link to this table

Information: The values in this table represent information from the literature. The values do not represent credits provided elsewhere in this manual [See, for example, Information on pollutant removal by BMPs and Phosphorus credits for bioretention systems with an underdrain
BMP Group BMP Design Variation Average TP Removal Rate (%)b Maximum TP Removal Rate (%)c Average Soluble P Removal Rate (%)dg
Bioretention Underdrain 59
see Phosphorus credits for bioretention systems with an underdrain
80
see Phosphorus credits for bioretention systems with an underdrain
0
see Phosphorus credits for bioretention systems with an underdrain
Infiltration
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
Filtration Media Filter 50 55 0
Vegetative Filters (dry) 50 55 0
Wet Swale 0 35 0
Infiltrationf,i Infiltration Trench
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
Infiltration Basin
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
  • 100 for infiltrated portion
  • 0 for non-infiltrated portion
Stormwater Ponds Wet Pond 50 75 0
Multiple Pond 60 75 0
Stormwater Wetlands Shallow Wetland 40 45 0
Pond/Wetland 44 49 33

a Removal rates shown in table are a composite of five sources: ASCE/EPA International BMP Database; Caraco (CWP), 2001; MDE, 2000; Winer (CWP), 2000; and Issue Paper D P8 modeling
b Average removal efficiency expected under MPCA Construction General Permit sizing requirements
c Upper limit on phosphorus removal with increased sizing and design features, based on national review
d Average rate of soluble phosphorus removal in literature
e See also Stormwater pollutant removal, stormwater credits
f Note that the performance numbers apply only to that portion of total flow actually being treated; it does not include any runoff that by-passes the BMP
g Note that soluble P can transfer from surface water to ground water, but this column refers only to surface water
h Note that 100% is assumed for all infiltration, but only for that portion of the flow fully treated in theinfiltration facility; by-passed runoff or runoff diverted via underdrain does not receive this level of treatment

Caution: Removal rates shown here are composite averages intended solely for use in comparing performance between BMP designs and for use in calculating load reduction in site-based TP models. They have been adapted, rounded and slightly discounted from statistical values published in BMP performance databases.



References

This page was last edited on 20 February 2023, at 21:01.