EPA/600/R-13/085b I Revised January 2014
                        www.epa.gov/nrmrl/wswrd/wq/models/swc/nrmrldev/swc/
   United States
   Environmental Protection
   Agency
National Stormwater Calculator
              User's Guide
                   Version 1.1
  raditional Infrastructure-
   Office of Research and Development

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                                         EPA/600/R-13/085b
                                              January 2014
                         1.1
                  By
            Lewis A. Rossman
  Water Supply and Water Resources Division
National Risk Management Research Laboratory
          Cincinnati, OH
OFFICE OF RESEARCH AND DEVELOPMENT
U.S. ENVIRONMENTAL PROTECTION AGENCY
          CINCINNATI, OH

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                                     DISCLAIMER

The information in this document has been funded wholly by the U.S. Environmental Protection Agency
(EPA). It has been subjected to the Agency's peer and administrative review, and has been approved for
publication as an EPA document. Mention of trade names or commercial products does not constitute
endorsement or recommendation for use.

Although a reasonable effort has been made to assure that the results obtained are correct, the
computer programs described in this manual are experimental. Therefore the author and the U.S.
Environmental Protection Agency are not responsible and assume no liability whatsoever for any results
or any use made of the results obtained from these programs, nor for any damages or litigation that
result from the use of these programs for any purpose.

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                              ACKNOWLEDGEMENTS

Paul Duda, Paul Hummel, Jack Kittle, and John Imhoff of Aqua Terra Consultants developed the data
acquisition portions of the National Stormwater Calculator under Work Assignments 4-38 and 5-38 of
EPA Contract #EP-C-06-029. Jason Berner and Tamara Mittman, both in EPA's Office of Water (OW), were
the Work Assignment Managers for that effort. They, along with Alex Foraste (EPA/OW), provided many
useful ideas and feedback throughout the development of the calculator.
                                            11

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ACRONYMS AND ABBREVIATIONS
ASCE




CMIP3




GREAT




EPA




GCM




GEV




Gl




HSG




IMD




IPCC




Ksat




LID




NCDC




NRCS




NWS




OW




SWAT




SWMM




UDFCD




US




USDA




WCRP
: American Society of Civil Engineers




: Coupled Model Intercomparison Project Phase 3




: Climate Resilience Evaluation and Awareness Tool




: United States Environmental Protection Agency




: General Circulation Model




: Generalized Extreme Value




: Green Infrastructure




: Hydrologic Soil Group




: initial moisture deficit




: Intergovernmental Panel on Climate Change




: saturated hydraulic conductivity




: low impact development




: National Climatic Data Center




: Natural Resources Conservation Service




: National Weather Service




: Office of Water




: Soil and Water Assessment Tool




: Storm Water Management Model




: Urban Drainage and Flood Control District




: United States




: United States Department of Agriculture




: World Climate Research Programme
                                            in

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TABLE OF CONTENTS

DISCLAIMER	i
ACKNOWLEDGEMENTS	ii
ACRONYMS AND ABBREVIATIONS	iii
TABLE OF CONTENTS	iv
LIST OF FIGURES	v
LIST OF TABLES	vii
1. Introduction	1
2. How to Run the Calculator	2
  Location	4
  Soil Type	6
  Soil Drainage	8
  Topography	9
  Precipitation	10
  Evaporation	11
  Climate Change	12
  Land Cover	14
  LID Controls	16
  Results	17
3. Interpreting the Calculator's Results	19
  Summary Results	19
  Rainfall / Runoff Frequency	21
  Rainfall Retention Frequency	22
  Runoff by Rainfall Percentile	23
  Extreme Event Rainfall/Runoff	24
  Printing Output Results	25
4. Applying  LID Controls	26
5. Example Application	29
  Pre-Development Conditions	29
  Post-Development Conditions	32
  Post-Development with LID Practices	34
  Climate Change Impacts	39
6. Computational Methods	43
  SWMM's Runoff Model	43
  SWMM's LID Model	44
  Site Model without LID Controls	45
                                            iv

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  Site Model with LID Controls	48
  Precipitation Data	49
  Evaporation Data	52
  Climate Change Effects	53
  Post-Processing	55
7. References	57

LIST OF FIGURES
Figure 1. The calculator's main window Overview page	2
Figure 2. The calculator's Location page	4
Figure 3. Bird's eye map view with a bounding circle	5
Figure 4. The calculator's Soil Type page	6
Figure 5. The calculator's Soil Drainage page	8
Figure 6. The calculator's Topography page	9
Figure 7. The calculator's Precipitation page	10
Figure 8. The calculator's Evaporation page	11
Figure 9. The calculator's Climate Change page	12
Figure 10.  The calculator's Land Cover page	14
Figure 11.  The calculator's LID Controls page	16
Figure 12.  The calculator's Results page	17
Figure 13.  The calculator's Summary Results report	20
Figure 14.  The calculator's Rainfall / Runoff  Frequency report	21
Figure 15.  The calculator's Rainfall Retention Frequency report	22
Figure 16.  The calculator's Runoff by Rainfall Percentile report	23
Figure 17.  The calculator's Extreme Event Rainfall / Runoff report	24
Figure 18.  Example of a LID Design dialog for a street planter.	27
Figure 19.  Runoff from different size storms for pre-development conditions on the example site	30
Figure 20.  Rainfall retention frequency under pre-development conditions for the example site	31
Figure 21.  Rainfall retention frequency for pre-development (Baseline) and post-development
(Current) conditions	33
Figure 22.  Low Impact Development controls  applied to the example site	34
                                               v

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Figure 23. Design parameters for Rain Harvesting and Rain Garden controls	35

Figure 24. Design parameters for the Infiltration  Basin and Porous Pavement controls	36

Figure 25. Daily runoff frequency curves for pre-development (Baseline) and post-development with
LID controls (Current) conditions	37

Figure 26. Contribution to total runoff by different magnitude storms for pre-development (Baseline)
and post-development with LID controls (Current) conditions	38

Figure 27. Retention frequency plots under pre-development (Baseline) and post-development with
LID controls (Current) conditions	38

Figure 28. Climate change scenarios for the example site	39

Figure 29. Daily rainfall and runoff frequencies for the historical (Baseline) and Warm/Wet climate
scenarios	41

Figure 30. Target event retention for the historical (Baseline) and Warm/Wet climate scenarios	41

Figure 31. Extreme event rainfall and runoff for the Warm/Wet climate change scenario and the
historical record (Baseline)	42

Figure 32. Conceptual representation of a bio-retention cell	44

Figure 33. NWS precipitation stations included in the calculator.	50

Figure 34. NRCS (SCS) 24-hour rainfall distributions (USDA, 1986)	51

Figure 35. Geographic boundaries for the different NRCS (SCS) rainfall distributions (USDA, 1986)	51

Figure 36. Locations with computed evaporation rates (Alaska and Hawaii not shown)	52

Figure 37. CMIP3 2060 projected changes in temperature and precipitation for Omaha, NE
(EPA, 2012)	54


List of Tables

Table 1. Definitions of Hydrologic Soil Groups (USDA, 2010)	7

Table 2. Descriptions of LID practices included in the calculator.	26

Table3. Editable LID parameters	28

Table 4. Void space values of LID media	28

Table 5. Summary results for pre-development conditions on the example site	29

Table 6. Land cover for the example site	32

Table 7. Comparison of runoff statistics for post-development (Current) and pre-development
(Baseline) conditions	32

Table 8. Runoff statistics for pre-development (Baseline) and post-development with LID controls
(Current) scenarios	37
                                              vi

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Table 9. Summary results under a Warm/Wet (Current) climate change scenario compared to the
historical (Baseline) condition[[[40

Table 10. Depression storage depths for different land covers[[[46


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1. Introduction

The National Stormwater Calculator is a simple to use tool for computing small site hydrology for any
location within the U.S. (http://www.epa.gov/nrmrl/wswrd/wq/models/swc/). It estimates the amount
of stormwater runoff generated from a site under different development and control scenarios over a
long term period of historical rainfall.  The analysis takes into account local soil conditions, slope, land
cover and meteorology.  Different types of low impact development (LID) practices (also known as
green infrastructure) can be employed to help capture and retain rainfall on-site.  Future climate change
scenarios taken from internationally recognized climate change projections can also be considered.

The calculator's primary focus is informing site developers and property owners on how well they can
meet  a desired stormwater retention target.  It can be used to answer such questions as:
    •   What is the largest daily rainfall amount that can be captured by a site in either its pre-
       development, current, or post-development condition?

    •   To what degree will storms of different magnitudes be captured on site?

    •   What mix of LID controls can be deployed to meet a given stormwater retention target?

    •   How well will LID controls perform under future meteorological projections made by global
       climate change models?

The calculator seamlessly accesses several national databases to provide local soil and meteorological
data for a site. The user supplies land cover information that reflects the state of development they
wish to analyze and selects a mix of LID controls to be applied. After this information is provided, the
site's hydrologic response to a long-term record of historical hourly precipitation, possibly modified by a
particular climate change scenario, is computed. This allows a full range of meteorological conditions to
be analyzed, rather than just a single design storm event. The resulting time series of rainfall and runoff
are aggregated into daily amounts that are then used to report various runoff and retention statistics. In
addition, the site's response to extreme rainfall events of different return periods is also analyzed.
The calculator uses the EPA Storm Water Management Model (SWMM) as its computational engine
(http://www.epa.gov/nrmrl/wswrd/wq/models/swmm/).  SWMM is a well established, EPA developed
model that has seen continuous use and periodic updates for 40 years.  Its hydrology component uses
physically meaningful parameters making it especially well-suited for application on a nation-wide scale.
SWMM is set up  and run in the background without requiring any involvement of the user.

The calculator is  most appropriate for performing screening level analysis of small footprint sites up to
several dozen acres in size with uniform soil conditions. The hydrological processes simulated by the
calculator include evaporation of rainfall captured on vegetative surfaces or in surface depressions,
infiltration losses into the soil, and overland surface flow. No attempt is made to further account for
the fate of infiltrated water that might eventually transpire through vegetation or re-emerge as surface
water in drainage channels or streams.

The remaining sections of this guide discuss how to install the calculator, how to run it, and how to
interpret its output. An example application is presented showing how the calculator can be used  to
analyze questions related to stormwater runoff, retention, and control.  Finally, a technical description is
given  of how the calculator performs its computations and where it obtains the parameters needed to
do so.

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2. How to Run the Calculator

The Stormwater Calculator is a desktop application that runs on any version of Microsoft Windows with
version 4 or higher of the .Net Framework installed. An installation program for the calculator can be
downloaded from the following web page: http://www.epa.gov/nrmrl/wswrd/wq/models/swc/. After
running the installer, there will be a folder named "US EPA" added to your Windows Start Menu. The
folder contains a shortcut named "EPA Stormwater Calculator" that can be used to launch the program.
            NOTE: You must have an internet connection to run the Stormwater Calculator.


The main window of the calculator is displayed in Figure 1.  It uses a series of tabbed pages to collect
information about the site being analyzed and to run and view hydrologic results. A Bing Maps display
allows you to view the site's location, its topography, selected soil properties and the locations of nearby
rain gages and weather stations.

The various pages of the calculator are used as follows:

    1.  Location page - establishes the site's location

    2.  Soil Type page - identifies the site's soil type

    3.  Soil Drainage page - specifies how quickly the site's soil drains

    4.  Topography page - characterizes the site's surface topography

    5.  Precipitation page - selects a nearby rain gage to supply hourly rainfall data

    6.  Evaporation page - selects a  nearby weather station to supply evaporation rates

    7.  Climate Change page - selects a climate change scenario to apply

    8.  Land Cover page - specifies the site's land cover for the scenario being analyzed

    9.  LID Controls page - selects a  set of LID control options, along with their design features,  to
       deploy within the site

    10. Results page - runs a long term hydrologic analysis  and displays the results.
There are also three command options shown along the bottom status bar that can be selected at any
time:

1. Analyze a New Site: This command will discard all previously entered data and take you to the
Location page where you can begin selecting a new site to analyze. You will first be prompted to save
the data you entered for the current site.

2. Save Current Site: This command is used to save the information you have entered for the current site
to a disk file.  This file can then be re-opened in a future session of the calculator by selecting the Open a
previously saved site command on the Location page.

3. Exit: This command closes down the calculator. You will be prompted to save the data you entered for
the current site.

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You can move back and forth between the calculator's pages to modify your selections. Most of the
pages have a Help command that will display additional information about the page when selected.
After an analysis has been completed on the Results page, you can choose to designate it as a "baseline"
scenario, which means that its results will be displayed side-by-side with those of any additional
scenarios that you choose to analyze.  Each of the calculator's pages will now be described in more
detail.
  I National Stormwater Calculator
Overview
           Location | Soil Type | Soil Drainage | Topography  Precipitation  Evaporation | Climate Change Land Cover | UP Controls | Results
     Welcome to the EPA National
        Stormwater Calculator

   This calculator estimate:- the amount of
   Stormwater runoff generated from a land
   parcel under different development and
   control scenarios over a long-term period
   of historical rainfall,

   The analysis takes into account local soil
   conditions, topography, land cover and
   meteorology. Different types of low impact
   development (LID) practices can be
   employed to help capture and retain rainfall
   on-site. Localized climate change scenarios
   can also be analyzed.

   Site information is provided to the
   calculator using the tabbed pages listed
   above. The Results page is where the site's
   runoff is computed and displayed,

   This program was produced by the U.S.
   Environmental Protection Agency and was
   subject to both internal and external
   technical review, Please check with local
   authorities about whether and how it can
   be used to support local Stormwater
   management goals and requirements.
                        Release 1.1.0.0
                                        «  N  >      Q  ®   Road
                                                        UNlTEDtfTATE
  Select the Location tab to begin analyzing a news'rte,
                                                                           Analyze a New Site  Save Current Site  Exit
                          Figure 1. The calculator's main window Overview page.

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Location
The Location page of the calculator is shown in Figure 2. You are asked to identify where in the U.S. the
site is located.  This information is used to access national soils and meteorological databases.  It has an
address lookup feature that allows you to easily navigate to the site's location.  You can enter an address
or zip code in the Search box and either click on the Search icon, or press the Enter key to move the map
view to that location.  You can also use the map's pan and zoom controls to hone in on a particular area.
Once the site has been located somewhere within the map's viewport, move the mouse pointer over the
site and then left-click the mouse to mark its exact location with a red square.

The map display can be toggled between a standard road map view and a bird's eye aerial view.  Figure
3 shows the site located in Figure 2 with a zoomed-in aerial view selected. You can also specify the area
of the site, which will result in a bounding red circle being drawn on the map. This is optional since the
calculator makes all of its computations on a per unit area  basis.

You can also click on Open a previously saved site to read in data for a site that was previously saved to
a file to start working with that data once again. (Every time you begin analyzing a new site or exit the
program the calculator asks if you want to save the current site to a file.) Once you open a previously
saved site, the calculator will be populated with its data.
  Overview  Location  Soil Type Soil Drainage Topography  Precipitation Evaporation  Climate Change  Land Cover  LID Controls  Results
   Site Name (Optional)

   NERL - Athens

   Search for an address or zip code;
   900 College Station Rd., Athens, G/

   Site Location (Latitude, Longitude)
   33.93064811825752,-83.35801094770431

   Site Area (acres- Optional)
   0.0
   Open a previously saved site

   Bring your site into view on the map
   and then mark its exact location by
   clicking the mouse pointer over it.
                                                                                               &
  Locate the site on the map.
                                                                      Analv'ze a Ne'.v Site  Save Current Site  Exit
                               Figure 2. The calculator's Location page.

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 Overview   Location  Soil Type   Soil Drainage  Topography  Precipitation  Evaporation  Climate Change  Land Cover  LJD Controls  Results
  Site Name (Optional)
  NERL - Athens

  Search for an address or zip code:

  900 College Station Rd., Athens, Gf- (^

  Site Location (Latitude, Longitude)
  33.92618511455956,-83,35651719570158

  Site Area (acres - Optional)
  12.0
  Open a previously saved site

  Bring your site into view on the map
  and then mark its exact location by
  clicking the mouse pointer over it.
Locate the site on the map.
Analyze a New Site  Save Current Site  Exit
                               Figure 3.  Bird's eye map view with a bounding circle.

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Soil Type
Figure 4 shows the Soil Type page of the calculator, which is used to identify the type of soil present on
the site. Soil type is represented by its Hydrologic Soil Group (HSG). This is a classification used by soil
scientists to characterize the physical nature and runoff potential of a soil. The calculator uses a site's
soil group to infer its infiltration properties. Table 1 lists the definitions of the different soil groups.

You can select a soil type based on local knowledge or by retrieving a soil map overlay from the U.S.
Department of Agriculture's Natural  Resources Conservation Service (NRCS) SSURGO database (http://
soils.usda.gov/survev/geographv/ssurgo/).  Simply check the View Soil Survey Data box at the top of the
page's left panel to retrieve SSURGO data.  (There will be a slight delay the first time that the soil data is
retrieved and the color-coded overlay is drawn).  Figure 4 displays the results from a SSURGO retrieval.
You can then select a soil type directly from the left panel or click on a color shaded region of the map.

The SSURGO database houses soil characterization data for most of the U.S. that have been collected
over the past forty years by federal, state, and local agencies participating in the National Cooperative
Soil Survey. The data are compiled by "map units" which  are the boundaries  that define a particular
recorded soil survey. These form the irregular shaped polygon areas that are displayed in the calculator's
map pane.
    National Stormwater Calculator
  Overview | Location [ Soil Type Soil Drainage Topography  Precipitation Evaporation  Climate Change | Land Cover [ LID Controls | Results)
    What type of soil is on your site?

    [2] View soil survey data

    I O A - low runoff potential

    D » B - moderately low

    F]   C - moderately high

    •   D - high runoff potential

    When soil survey data is displayed
    you can select a soil type directly
    from the map,
   Help
N ••     0 ©   Road'
  Select a soil type for the site.
                             Analyze a New Site  Save Current Site Exit
                               Figure 4. The calculator's Soil Type page.
                                                  6

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Soil survey data do not exist for all parts of the country, particularly in downtown core urban areas;
therefore, it is possible that no data will be available for your site. In this case you will have to rely on
local knowledge to designate a representative soil group.
                    Table 1. Definitions of Hydrologic Soil Groups (USDA, 2010).
      Group
Meaning
 Saturated
 Hydraulic
Conductivity
   (in/hr)
               Low runoff potential. Soils having high infiltration rates even
               when thoroughly wetted and consisting chiefly of deep, well
               to excessively drained sands or gravels.
                                                                >0.45
               Soils having moderate infiltration rates when thoroughly
               wetted and consisting chiefly of moderately deep to deep,
               moderately well to well-drained soils with moderately fine to
               moderately coarse textures. E.g., shallow loess, sandy loam.
                                                              0.30-0.15
               Soils having slow infiltration rates when thoroughly wet-
               ted and consisting chiefly of soils with a layer that impedes
               downward movement of water, or soils with moderately fine
               to fine textures. E.g., clay loams, shallow sandy loam.
                                                              0.15-0.05
               High runoff potential. Soils having very slow infiltration rates
               when thoroughly wetted and consisting chiefly of clay soils
               with a high swelling potential, soils with a permanent high
               water table, soils with a clay-pan or clay layer at or near the
               surface, and shallow soils over nearly impervious material.
                                                              0.05-0.00

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Soil Drainage
The Soil Drainage page of the calculator (Figure 5) is used to identify how fast standing water drains
into the soil. This rate, known as the "saturated hydraulic conductivity/' is arguably the most significant
parameter in determining how much rainfall can be infiltrated.

There are several options available for assigning a hydraulic conductivity value (in inches per hour) to the
site:

    a)  The edit box can be left blank, in which case, a default value based on the site's soil type will be
        used (the default value is shown next to the edit box).
    b)  As with soil group, conductivity values from the SSURGO database can be displayed on the map
        when the View Soil Survey Data checkbox is selected.  Clicking the mouse on a colored region of
        the map will make its conductivity value appear in the edit box.
    c)  If you have local  knowledge of the site's soil conductivity you can simply enter it directly into the
        edit  box. This is preferred over the other two choices.

It should be noted that the hydraulic conductivity values from the  SSURGO database are derived from
soil texture and depth to groundwater and are not field measurements.  As with soil type, there may not
be any soil conductivity data available for your particular location.
    National Stormwater Calculator
  Overview  Location  Soil Type Soil Drainage Topography  Precipitation  Evaporation  Climate Change  Land Cover  LID Controls Result:
    How fast does standing water
    drain from your site (inches/hour)?
    0.108       (Default = 0.4)

    [y] View soil survey data

    D  <= 0.01 inches/hour

    •  > 0.01 to <= 0.1 inches/hour

    D  > 0,1 to <= 1.0 inches/hour

    I  > 1 inches/hour

    When soil survey data is displayed
    you can select a value directly from
    the map.
   Help
« N •      0 ® I Road
  »
  Enter the soil's drainage rate.
                                                                      Analyze a New Site  Save Current Site Exit
                             Figure 5. The calculator's Soil Drainage page.

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Topography
Figure 6 displays the Topography page of the calculator. Site topography, as measured by surface slope
(feet of drop per 100 feet of length), affects how fast excess stormwater runs off a site.  Flatter slopes
results in slower runoff rates and provide more time for rainfall to infiltrate into the soil. Runoff rates
are less sensitive to moderate variations in slope. Therefore the calculator uses only four categories of
slope - flat (2%), moderately flat (5%), moderately steep (10%) and steep (above 15%).  As with soil type
and drainage rate, any available  SSURGO slope data will be displayed on the map if the View Soil Survey
checkbox is selected. You can use the resulting display as a guide or use local  knowledge to describe the
site's topography.
    National Stormwater Calculator
  Overview | Location | Soil Type | Soil Drainage Topography  Precipitation | Evaporation  Climate Change  Land Cover i LID Controls | Results
    Describe your site's topography:

    121 View soil survey data

    • O Flat (2% Slope)

    •    Moderately Flat (5% Slope]

    D <*• Moderately Steep (10% Slope)

    •    Steep (above 15% Slope)

    When soil survey data is displayed
    you can select a slope category
    directly from the map.
   Help
  Describe how steep the site is.
                                                                        Analyze a New Site  Save Current Site  Exit
                               Figure 6. The calculator's Topography page.

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Precipitation
The Precipitation page of the calculator is shown in Figure 7. It is used to select a National Weather
Service rain gage that will supply rainfall data for the site. Rainfall is the principal driving force that
produces runoff. The calculator uses a long term continuous hourly rainfall record to make sure that it
can replicate the full scope of storm events that might occur. In addition, it identifies a set of 24-hour
extreme event storms associated with each rain gage location. These are a set of six intense storms
whose sizes are exceeded only once every 5, 10,15, 30, 50 and 100 years, respectively.

The calculator contains a catalog of over 8,000 rain gage locations from the National Weather Service's
(NWS) National Climatic Data Center (NCDC).  Historical hourly rainfall data for each station have been
extracted from the NCDC's repository, screened for quality assurance, and stored on an EPA file server.
As shown in Figure 7, the calculator will automatically locate the five nearest gages  to the site and list
their location, period of record  and average annual rainfall amount. You  can then choose what you
consider to be the most appropriate source of rainfall data for the site.

If the Save  rainfall data ... command label is clicked, a Save As dialog window will appear allowing you
to save the rainfall data to a text file in case you want to use the data  for some other application, such
as SWMM. Each line of the file will contain the recording station identification number, the year, month,
day, hour, and minute of the rainfall reading and the measured hourly rainfall intensity in inches/hour.
    National Stormwater Calculator
  Overview Location Soil Type  Soil Drainage Topography, Precipitation  Evaporation  Climate Change  Land Cover LID Controls Results
Select a rain gage location to use as
a source of hourly rainfall data:



11 - ATHENS BEN EPPS AIRPORT
(1970-2006)47.05"
2 - WINTERV1LLE
(1998-2006)45,28"
3 - WATKINSVILLE ARS
(1970-2008)47,77"
4-UOFGAPLT SCIENCE
(1971-2006)50.47"
5 - DANIELSVILLE
(1998-2006)46,38"

Save rainfall data for other uses











Help






















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  Select a source of long-term hourly rainfall data.
Analyze a New Site Save Current Site  Exit
                            Figure 7. The calculator's Precipitation page.
                                                10

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Evaporation
The Evaporation page of the calculator is displayed in Figure 8.  It is used to select a weather station that
will supply evaporation rates for the site. Evaporation determines how quickly the moisture retention
capacity of surfaces and depression storage consumed during one storm event will be restored before
the next event.

Over 5,000 NWS weather station locations throughout the U.S.  have had their daily temperature records
analyzed to produce estimates of monthly average evaporation rates (i.e., twelve values for each station).
These rates have been stored directly into the calculator.  The calculator lists the five closest locations
that appear in the table along with their period of record and average daily evaporation rate (the average
of the twelve monthly rates).  Note that these are "potential" evaporation rates, not recorded values
(there are only a few hundred stations across the U.S. with long term recorded evaporation data). The
rates  have been estimated for bare soil using the Penman-Monteith equation. More details are provided
in the Computational Methods section of this document.

As with rainfall, a Save evaporation data ... command is available in case you would like to save the data
to a file for use in another application. If this option is selected, the data will be written to a plain text
file of your choice with the twelve  monthly average rates appearing on a single  line.
  Overview  Location  Soil Type  Soil Drainage  Topography Precipitation Evaporation  Climate Change  Land Cover  LID Controls  Results
   Select a weather station to use as
   a source for evaporation rates:
    - ATHENS BEN EPPS AIRPORT
    (1970-2006) 0.20 inches/day
   2 - VWNTERVULE
    (2000-2006) 0.20 inches/day

   3 - U OF GA PLT SCIENCE
    (1972-2006) 0.19 inches/day

   4 - DANIELSVILLE
    (1999-2006) 0.17 inches/day

   5-WINDER4S
    (1970-2004) 0.17 inches/day


   Save evaporation data for ether uses
   Help
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                       Jefferson      Nicholson

                         Arcade
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Auburn

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                                        Athens'
Winterville
                                             Campton

                                                  Mount Vemon

                                             ~ Monroe
                                                                         Watkinwille
                                                                                              to km

                                                                          © 2013 Microsoft Corporation ® 2013 Noka
  Select a source of monthly average evaporation rates,
                                                                       Analyze a Nevv Site  Save Current Site  Exit
                              Figure 8. The calculator's Evaporation page.
                                                   11

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Climate Change
The 2007 Fourth Assessment Report of the Intergovernmental Panel on Climate Change (IPCC) states
that global warming is now unequivocal (IPCC, 2007). Some of the impacts that such warming can have
on the small scale hydrology addressed by the calculator include changes in seasonal precipitation levels,
more frequent occurrence of high intensity storm events, and changes in evaporation rates (Karl et al.,
2009). A climate change component has been included in the calculator to help one explore how these
impacts may affect the amount of stormwater runoff produced by a site and how it is  managed.

Figure 9 displays the Climate Change page of the calculator. It is used to select a particular future
climate change scenario for the site. The scenarios were derived from a range of outcomes of the
World  Climate Research Programme's CMIP3 multi-model dataset (Meehl et al., 2007). This dataset
contains results of different global climate models  run with future projections of population growth,
economic activity, and green  house gas emissions.  The results have been statistically downscaled to a
regional grid that encompasses each of the calculator's rain gage and weather station locations.  Three
different scenarios are available that span the range  of changes projected by the climate models: one is
representative of model outputs that produce hot/dry conditions, another  represents changes that come
close to the median outcome from the different models, and a third represents model outcomes that
produce warm/wet conditions. Projections for each  scenario are available for two different future 30-
year time periods: near term (2020-2049) and far term (2045 - 2074).
   National Stormwater Calculator
  Overview  Location  Soil Type Soil Drainage  Topography Precipitation  Evaporation  Climate Change  Land Cover LID Controls Results
   Select a future climate change scenario
   to apply.

   © No change

   O Hot/Dry

   O Median change

   O Warm/Wet

   Select the time period to which the
   climate change scenario applies;

   0 Near Term (2020 -2049)

   O Far Term (2045 - 2074]
  Help
Percentage Change in Monthly Rainfall for Near Term Projections
         — W—  Hot/Dry   --•*•- Median    -A— Warm/Wet
 Jan   Feb  Mar  Apr   May  Jun  Jul   Aug  Scp  Oct   Nov  Dec
                                        Annual Max. Day Rainfall (inches) for Near Term Projections
                                        -•*•- Hot.'Dry   — #---  Median   ~f~ Warm/Wet --*-- Historical





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                                                   III        15       30
                                                         Return Period (years)
                                                                               50
                                                                                        100
 Select a climate change scenario to use,
                              Analyze a New Site Save Current Site  Exit
                           Figure 9. The calculator's Climate Change page.
                                                12

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Each choice of climate change scenario and projection period produces a different percent change in
monthly average rainfall, monthly average temperature, and annual maximum day precipitation for
each rain gage location and weather station in the calculator's database.  The precipitation changes for
the current choice of rain gage are shown in the right hand panel of the Climate Change page. These
changes are used to adjust the historical meteorological records for the site as follows:

    1.  The changes in monthly average rainfall are applied as a multiplier to each historical hourly
       rainfall reading that occurred in the particular month for each year of record.
    2.  The changes in monthly average temperatures are applied in similar fashion to the historical
       daily temperature records used to calculate an average daily evaporation rate for each month of
       the year.
    3.  The climate change influenced  extreme event rainfalls are used in place of the historical ones.

More details on the source of the climate change scenarios and how they are used to compute site
runoff are provided in the Computational Methods section of this users guide.
                                              13

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Land Cover
Figure 10 displays the Land Cover page of the calculator.  It is used to describe the different types of
pervious land cover on the site.  Infiltration of rainfall into the soil can only occur through pervious
surfaces.  Different types of pervious surfaces capture different amounts of rainfall on vegetation or in
natural depressions, and have different surface roughness.  Rougher surfaces slow down runoff flow
providing more opportunity for infiltration. The remaining  non-pervious site area is considered to be
"directly connected impervious surfaces" (roofs, sidewalks, streets, parking lots, etc. that drain directly
off-site).  Disconnecting some of this area,  to run onto lawns for example, is an LID option appearing on
the next page of the calculator.
    National Stormwater Calculator
  Overview  Location  Soil Type Soil Drainage Topography  Precipitation  Evaporation  Climate Change  Land Cover  LID Controls Results
   Describe the site's land cover for the
   development scenario being analyzed:
   % Forest

   % Meadow

   % Lawn

   % Desert

   % Impervious
49
   Hover the mouse over a cover category
   to see a more detailed description.
   Help
              i  « N
  Describe the site's land cover.
                                                                      Analyze a Nevv Site  Save Current Site Exit
                              Figure 10. The calculator's Land Cover page.


You are asked to supply the percentage of the site covered by each of four different types of pervious
surfaces:
    1.  Forest - stands of trees with adequate brush and forested litter cover
    2.  Meadow - non-forested natural areas, scrub and shrub rural vegetation
    3.  Lawn - sod lawn, grass, and landscaped vegetation
    4.  Desert - undeveloped land in arid regions with saltbush,  mesquite, and cactus vegetation
                                                  14

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You should assign land cover categories to the site that reflects the specific condition you wish to
analyze: pre-development, current, or post-development. A pre-development land cover will most likely
contain some mix of forest, meadow, and perhaps desert. Local stormwater regulations might provide
guidance on how to select a pre-development land cover or you could use a  nearby undeveloped area as
an example. Viewing the site map in bird's eye view, as shown in Figure 9, would help identify the land
cover for current conditions. Post-development land cover could be determined from a project's site
development plan map. Keep in mind that total runoff volume is highly dependent on the amount of
impervious area on the site while it is less sensitive to how the non-impervious area is divided between
the different land cover categories.
                                             15

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LID Controls
The LID Controls page of the calculator is depicted in Figure 11.  It is used to deploy low impact
development (LID) controls throughout the site. These are landscaping practices designed to capture
and retain stormwater generated from impervious surfaces that would otherwise run off the site. As
seen in Figure 11, there are  seven different types of green infrastructure (Gl) LID controls available.
You can elect to apply any mix of these controls by simply telling the calculator what percentage of the
impervious area is treated by each type of control. Each control has been assigned a reasonable set of
design parameters, but these can be modified by clicking on the name of the control. This will also allow
you to automatically size the control to capture a 24-hour design storm that you specify. More details
on  each type of control practice, its design parameters and sizing it to retain a  given design storm  are
provided in the LID Controls section of this users guide.
    National Stormwater Calculator
  Overview  Location  Soil Type Soil Drainage Topography Precipitation  Evaporation Climate Change Land Cover LID Controls
   What % of your site's impervious area
   will be treated by the following LID
   practices?
Disconnection

Rain Harvesting

Rain Gardens

Green Reefs

Street Planters

Infiltration Basins

Porous Pavement

Design Storm for Sizing
(inches) (see Help)

Click a practice to customize its design.
                       0.00
   Helc
                                 i  ' N »  A  0 ©   Bird's eye
                                                          ftCwpbratran Ptetometiy BirtTs Eye © 201»?fctometry I me1
  Assign LID practices to capture runoff from impervious areas.
                                                                    Analyze a New Site Save Current Site  Exit
                             Figure 11. The calculator's LID Controls page.
   Green infrastructure (Gl) is a relatively new and flexible term, and it has been used differently in
   different contexts. However, for the purposes of EPA's efforts to implement the Gl Statement of
   Intent, EPA intends the term Gl to generally refer to systems and practices that use or mimic natural
   water flow processes and retain stormwater or runoff on the site where it is generated. Gl can be
   used at a wide range of landscape scales in place of, or in addition to, more traditional stormwater
   control elements to support the principles of LID.
                                                  16

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Results
The final page of the calculator is where a hydrologic analysis of the site is run and its results are
displayed.  As shown in Figure 12, by selecting the Site Description report option you can first review the
data that you entered for the site and go back to make changes if needed.

The input controls on this page are grouped together in three sections: Options, Actions, and Reports.
The Options section allows you to control how the rainfall record is analyzed via the following settings:
    1.  The number of years of rainfall record to use (moving back from the most recent year on record).
    2.  The event threshold, which is the minimum  amount of rainfall (or runoff) that must occur over
        a day for that day to be counted as having rainfall (or runoff). Rainfall (or runoff) above this
        threshold is referred to as "observable"  or "measurable".
    3.  The choice to ignore consecutive wet days when compiling runoff statistics (i.e., a day with
        measurable rainfall must be preceded by at  least two days with no rainfall for it to be counted).

The latter option appears in some state and local stormwater regulations as a way to exempt extreme
storm events, such as hurricanes, from any stormwater retention requirements.  Normally, you would
not want to select this option as it will produce a less realistic representation of the site's hydrology.
Note that although results are presented as annual and daily values,  they are generated by considering
the site's response to the full history of  hourly rainfall amounts.
  Overview | Location | Soil Type | Soil Drainage Topography  Precipitation Evaporation  Climate Change | Land Cover | UP Controls | Results
    Options

   Years to Analyze

   Event Threshold (inches)

   Ignore Consecutive Days

    Actions

    Refresh Results

    Use as Baseline Scenario

    Remove Baseline Scenario

    Print Results to PDF File

    Reports

    a Site Description

      Summary Results

      Rainfall / Runoff Frequency

      Rainfall Retention Frequency

      Runoff By Rainfall Percentile

   O Extreme Event Rainfall / Runoff



   Help
Parameter
Site Area (acres)
Hydrologic Soil Group
Hydraulic Conductivity fin/hr)
Surface Slope (%)
Precip. Data Source
Evap. Data Source
Climate Change Scenario
% Forest
% Meadow
% Lawn
% Desert
% Impervious
Disconnection
Rain Harvesting
Rain Gardens
Green Roofs
Street Planters
Infiltration Basins
Porous Pavement
Current Scenario Baseline Scenario
12.0
B
0.108
10
ATHENS BENEPPS AIR...
ATHENS BEN EPPS AIR,,.
None
18
8
25
0
49
0
0
Jf.














0
0
0
0
0
                                                                                                Help
  Site data have changed - results need to be refreshed,
Analyze a New Site  Save Current Site Exit
                               Figure 12. The calculator's Results page.

                                                  17

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The Actions section of the page contains commands that perform the following actions:
1. Refresh Results - runs a long term simulation of the site's hydrology and updates the output displays
with new results (it will be disabled if results are currently available and no changes have been made to
the site's data).
2. Use as Baseline Scenario - uses the current site data and its simulation results as a baseline against
which future runs will be compared in the calculator's output reports (this option is disabled if there are
no current simulation results available).
3. Remove Baseline Scenario- removes any previously designated baseline scenario from all output
reports.
4. Print Results to PDF File - writes the calculator's results for both the current and any baseline scenario
to a PDF file that can  be viewed with a PDF reader at a future time.
The Reports section of the page allows you to choose how the rainfall / runoff results for the site should
be displayed.  A complete description of each type of report available will be given in the next section of
this guide.
When the calculator first loads or begins to analyze a new site the following default values are used:
 Soil Group:
 Conductivity:
 Surface Slope:
 Rainfall Station:
 Evaporation Station:
 Climate Change Scenario:
 Land Cover:
 LID Controls:
 Years to Analyze:
 Event Threshold:
 Ignore Consecutive Days:
B
0.4 inches/hour
5%
Nearest cataloged station
Nearest cataloged station
None
40% Lawn, 60% impervious
None
20
0.10 inches
No
                                               18

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3. Interpreting the Calculator's Results

The Results page of the calculator (Figure 12) contains a list of reports that can be generated from its
computed results.  Before discussing what these reports contain it will be useful to briefly describe how
the calculator derives its results. After you select the Refresh Results command, the calculator internally
performs the following operations:

   1.  A SWMM input file is created for the site using the information you provided to the calculator.

   2.  The historical hourly rainfall record for the site is adjusted for any climate change scenario
       selected.

   3.  SWMM is run to generate a continuous time series of rainfall and runoff from the site at
       15-minute  intervals for the number of years specified.

   4.   The 15-minute time series of rainfall and runoff are accumulated into daily values by calendar
       day (midnight to midnight).

   5.  Various statistics of the resulting daily rainfall and  runoff values are computed.

   6.  The SWMM input file is modified and run once more to compute the runoff resulting from a
       set of 24-hour extreme rainfall events associated with different return periods.  The rainfall
       magnitudes are derived from your choice of climate change scenario or from the historical
       record if climate change is not being considered.

Thus for the continuous multi-year run, the  rainfall / runoff output post-processed  by the calculator
are the 24-hour totals for each calendar day of the period  simulated. A number of different statistical
measures are derived from these data, some of which will be more relevant than others depending on
the context in which the calculator is being used.


Summary Results
The calculator's Summary Results report, an example of which is shown  in  Figure 13, contains the
following items:

   •   A pie chart showing the percentage of total rainfall that infiltrates, evaporates, and becomes
      runoff. Note that because the calculator does not explicitly account for the loss of soil moisture to
      vegetative transpiration, the latter quantity shows up as infiltration in this chart.
   •   Average Annual Rainfall: Total rainfall (in inches) that falls on the site divided by the number of
      years simulated.  It includes all precipitation amounts recorded by the station assigned to the site,
      even those that fall below the Event Threshold.
   •   Average Annual Runoff: Total runoff (in inches) produced by the site divided by the number of
      years simulated.  It includes all runoff amounts, even those that fall below the Event Threshold.
   •   Days per Year with Rainfall: The number of days with measurable rainfall divided by the number of
      years simulated, i.e., the average number of days per year with rainfall above the Event Threshold.
                                              19

-------
                                        Current Scenario

                                   Annual Rainfall = 45.22 inches
                                   46%
                                                           43%
                                          Runoff
                                          Evap.
     Infil.
        Statistic
        Average Annual Rainfall (inches)
        A verage Annua I Runoff (inches)
        Days per Year Wrf/i Rainfall
        Days per Year with Runoff
        Percent of VJet Days Retained
        Smallest Rainfall w/Runoff finches)
        Largest Rainfall w/o Runoff (inches)
        Max. Rainfall Retained (inches)
Current Scenario
         45.22
         21.83
         68.46
         48.57
         29.05
          an
          Q.3Q
          1.62
Baseline Scenario
                        Figure 13. The calculator's Summary Results report.
   •  Days per Year with Runoff: The number of days with measurable runoff divided by the number of
      years simulated, i.e., the average number of days per year with runoff above the Event Threshold.
   •  Percent of Wet Days Retained: The percentage of days with measurable rainfall that do not have
      any measurable runoff generated.  It is computed by first counting the number of days that have
      rainfall above the  Event Threshold  but runoff below it. This number is then divided by the total
      number of rainfall days above the threshold and multiplied by 100.
   •  Smallest Rainfall w/Runoff: The smallest daily rainfall that produces measurable runoff. All days
      with rainfall less than this amount  have runoff below the threshold.
   •  Largest Rainfall w/o Runoff: The largest daily rainfall that produces no runoff. All days with more
      rainfall than this will have measurable runoff.  Of the wet days that lie between this depth and the
      smallest rainfall with runoff, some  will have runoff and others will not.
   •  Max. Retention Volume:  The largest daily rainfall amount retained on site over the period of
      record. This includes days that produce runoff from storms that are only partly captured.

Note that if the Ignore Consecutive Wet Days option is in effect then the retention statistics listed above
are computed by ignoring any subsequent back to back wet days for a period of 48 hours following an
initial wet day.
                                              20

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Rainfall / Runoff Frequency
An example of the calculator's Rainfall / Runoff Frequency report is seen in Figure 14.  It shows how
many times per year, on average, a given daily rainfall depth or runoff depth will be exceeded.  As an
example, from Figure 14 we see that there are three days per year where it rains more than two inches,
but only one day per year where there is more than this amount of runoff. Events with more than four
inches of rain occur only once every two years.

The rainfall frequency curve is generated by simply ordering the measurable daily rainfall results from
the long term simulation from lowest to highest and then counting how many days  have rainfall higher
than a given value. The same procedure is used to generate the daily runoff frequency curve.  Curves
like these are useful in comparing the complete range of rainfall / runoff results between different
development, control and climate change scenarios. Examples might include determining how close a
post-development condition comes to meeting pre-development hydrology or seeing what effect future
changes in precipitation due to climate change might have on LID control effectiveness.
Rainfall / Runoff Exceedance Frequency
	 Rainfall — Runoff
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                   Figure 14. The calculator's Rainfall / Runoff Frequency report.
    On any of the calculator's line or bar charts you can make the numerical value of a plotted point
    appear in a popup label by moving the mouse over the point on the line or bar you wish to
    examine. You can also zoom in on any area of the chart by pressing the left mouse button while
    dragging the mouse pointer across the area.  To return to full view, you would right-click on the
    chart and select Un-Zoom from the pop-up menu that appears.
                                             21

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Rainfall Retention Frequency
Another type of report generated by the calculator is the Rainfall Retention Frequency plot as shown
in Figure 15. It graphs the frequency with which a given depth of rainfall will be retained on site for
the scenario being simulated.  For a given daily rainfall depth X the corresponding percent of time it
is retained represents the fraction of storms below this depth that are completely captured plus the
fraction of storms above it where at least X inches are captured. A rainfall event is considered to be
completely captured if its corresponding runoff is below the user stipulated Event Threshold.

To make this concept clearer, consider a run of the calculator that resulted  in 1,000 days of measurable
rainfall and associated runoff for a site. Suppose there were 300 days with rainfall below one inch that
had no measurable runoff and 100 days where it rained more than an inch but the runoff was less than
an inch. The retention frequency for a one inch rainfall would then be (300 + 100) / 1,000 or 40 percent.

The Rainfall Retention Frequency report is  useful for determining how reliably a site can meet a required
stormwater retention standard.  Looking at Figure 15, any retention standard above one inch would only
be met about 32 % of the time (i.e., only one in three wet days would meet the target). Note that any
rainfall events below the target depth that are completely captured are counted  as having attained the
target (e.g., a day with only 0.3 inches of rainfall will be counted towards meeting a retention target of
1.0 inches if no runoff is produced). That is why the plot tails off to the right at a  constant level of 29
percent, which happens to be the percent of all wet days fully retained for this example (refer to the
Percent of Wet Days Retained entry in the Summary Results report of Figure 13).
                                Rainfall Retention Frequency
                110
                100 - -
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                50 - -
                40 --
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                :•••
                                  H - 1   i - 1 - 1
                                                      1   i - 1 - 1
                                                  2
                                         Daily Rainfall (inches)
                  Figure 15. The calculator's Rainfall Retention Frequency report.
                                               22

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Runoff by Rainfall Percentile
The Runoff by Rainfall Percentile report produced by the calculator is displayed in Figure 16.  It
shows what percentage of total measurable runoff is attributable to different size rainfall events. The
bottom  axis is divided into intervals of daily rainfall event percentiles. The top axis shows the rainfall
depth corresponding to each end-of-interval  percentile. The bars indicate what percentage of total
measurable runoff is generated by the rainfall within each size interval. This provides a convenient way
of determining what rainfall depth  corresponds to a given percentile (percentiles are listed along the
bottom  of the horizontal axis while their corresponding depths are listed across the top of the axis.)

As an example of how to interpret this plot, look at the bar in Figure  16 associated with the 90th to 95th
percentile storm interval (daily rainfalls between 1.38 and 1.81 inches).  Storms of this magnitude make
up 16 % of the total runoff (for this particular site and its land cover). Note that by definition the number
of events within this 5 percentile interval is 5 % of the total number of daily rainfall events.
                          Runoff Contribution by Rainfall Percentile

                                      Daily Rainfall Depth (inches)
                    0,14  0,20  0.26  0,35  0.43  0,53  0.67  077  098  1.15 1.38 1.81  3.52
             3=
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                                                  1
                     10   20   30   40    50    60   70   75   80   85   90   95   99
                                        Daily Rainfall Percentile
                   Figure 16. The calculator's Runoff by Rainfall Percentile report.
    The X-th percentile storm is the daily rainfall amount that occurs at least X percent of the time,
    i.e., X percent of all rainfall days will have rainfall amounts less than or equal to the percentile
    value.  It is found by first ordering all days with rainfall above the Event Threshold from smallest
    to highest value. The X-th percentile is the X-th percent highest value (e.g., if there were 1000
    days with observable rainfall the 85-th percentile would be 850-th value in the sorted listing of
    rainfall amounts).
                                                23

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Extreme Event Rainfall/Runoff
The final report produced by the calculator shows the rainfall and resulting runoff for a series of extreme
event (high intensity) storms that occur at different return periods.  An example is shown in Figure 17.
Each stacked bar displays the annual max day rainfall that occurs with a given return period and the
runoff that results from it for the current set of site conditions. The max day rainfalls correspond to
those shown on the Climate Change page for the scenario you selected (or to the historical value if no
climate change option was chosen).

Note that the max day rainfalls at different return periods are a different statistic than the daily rainfall
percentiles that are shown in the Runoff by Rainfall Percentile report (see Figure 16). The latter
represents the frequency with which any daily rainfall amount is exceeded while the former estimates
how often the largest daily rainfall in a year will be exceeded (hence its designation as an extreme
storm event). Most stormwater retention standards are stated with respect to rainfall percentiles while
extreme event rainfalls are commonly used to define design storms that are used to size stormwater
control measures. The extreme event rainfall amounts are generated using a statistical extrapolation
technique (as described in the Computational Methods section) that allows one to estimate the once in
X year event when fewer than X years of observed rainfall data are available.
Extreme Event Rainfall / Runoff
Daily Rainfall or Runoff Depth (inches)
o K) *. ts do Q ^
i Rainfall i • Runoff















J











]





































....-.,_,
. . . .:..-
5 10 15 30 50 100

Return Period on Max. Day Rainfall (years)
                 Figure 17. The calculator's Extreme Event Rainfall / Runoff report.


Printing Output Results
As mentioned previously, all of the information displayed on the Runoff pages of the calculator can be
written to a PDF file to provide a permanent record of the analysis made for a site.  You simply select the
Print Results to PDF File command in the upper left panel of the Runoff page and then enter a name for
the file to which the results will be written.
                                              24

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4. Applying LID Controls

LID controls are landscaping practices designed to capture and retain stormwater generated from
impervious surfaces that would otherwise run off the site. The Stormwater Calculator allows you to
apply a mix of seven different types of LID practices to a site. These are displayed in Table 2 along with
brief descriptions of each.  This particular set of Gl  practices was chosen because they can all be sized on
the basis of just area.  Two other commonly used controls, vegetative swales and infiltration trenches,
are not included because their sizing depends on their actual location and length within the site,
information which is beyond the scope of the calculator.

Each LID practice is assigned a set of default design and sizing parameters, so to apply a particular
practice to a site, you only have to specify what percentage of the site's impervious area will be treated
by the practice (see Figure 10). You can, however, modify the default settings by clicking on the name of
the particular practice you wish to edit.  For example, Figure 18 displays the resulting LID Design dialog
window that appears when the Street Planter LID is selected. All of the LID controls have similar LID
Design dialogs that contain a sketch and brief description of the LID control along with a set of edit boxes
for its design parameters. The Learn More ... link will open your web browser to a page that provides
more detailed information about the LID practice.

Table 3 lists the various parameters that can be edited with the LID Design dialogs along with their
default factory setting. Arguably the most important of these is the Capture Ratio parameter. This
determines the size of the control relative to the impervious area it treats. Note that because the
calculator does not require that the actual area of the site be specified, all sub-areas are stated on a
percentage basis. So, total impervious area is some percentage of the total site area, the area treated by
a particular LID control is some percentage of the total impervious area, and the area of the LID control
is some percentage of the area it treats.

Pressing the Size for Design Storm button  on an LID Design form will make the calculator automatically
size the LID control to capture the Design Storm Depth that was entered on the LID Control page (see
Figure 10). This computes a Capture Ratio (area of LID relative to area  being treated) for Rain Gardens,
Street Planters, Infiltration Basins, and Porous Pavement by taking the ratio of the design storm depth
to the depth of available storage in the LID unit. For Infiltration Basins  it also determines the depth
that will completely drain the basin within 48 hours. For Rainwater Harvesting it calculates how many
cisterns of the user-supplied size will be needed to capture the  design storm.  Automatic sizing is not
available for Disconnection, since no storage volume is used with this practice, and for Green Roofs, since
the ratio is 100% by definition. The methods used to automatically size the LID controls are described
in the Computational  Methods section of this users guide. Note that even when sized in this fashion, a
LID control might not fully capture the design storm because it may not have drained completely prior
to the start of the storm or the rainfall intensity during some portion of the storm event may overwhelm
its infiltration capacity. The calculator is able to capture such behavior  because it continuously simulates
the full range of past precipitation events.
                                               25

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Table 2. Descriptions of LID practices included in the calculator.
         LID Practice
Description
                             Disconnection refers to the practice of directing runoff from impervious
                             areas, such as roofs or parking lots, onto pervious areas, such as lawns
                             or vegetative strips, instead of directly into storm drains.
        Disconnection
                             Rain harvesting systems collect runoff from rooftops and convey it to a
                             cistern tank where it can be used for non-potable water uses and on-
                             site infiltration.
       Rain Harvesting
                             Rain Gardens are shallow depressions filled with an engineered soil mix
                             that supports vegetative growth. They provide opportunity to store
                             and infiltrate captured runoff and retain water for plant uptake. They
                             are commonly used on individual home lots to capture roof runoff.
        Rain Gardens
                             Green roofs (also known as vegetated roofs) are bioretention systems
                             placed on roof surfaces that capture and temporarily store rainwater
                             in a soil medium. They consist of a layered system of roofing designed
                             to support plant growth and retain water for plant uptake while
                             preventing ponding on the roof surface.
         Green Roofs
        Street Planters
                             Street Planters are typically placed along sidewalks or parking areas.
                             They consist of concrete boxes filled with an engineered soil that
                             supports vegetative growth. Beneath the soil is a gravel bed that
                             provides additional storage as the captured runoff infiltrates into the
                             existing soil below.
                             Infiltration basins are shallow depressions filled with grass or other
                             natural vegetation that capture runoff from adjoining areas and allow it
                             to infiltrate into the soil.
       Infiltration Basins
                             Porous Pavement systems are excavated areas filled with gravel and
                             paved over with a porous concrete or asphalt mix or with modular
                             porous blocks.  Normally all rainfall will immediately pass through the
                             pavement into the gravel storage layer below it where it can infiltrate at
                             natural rates into the site's native soil.
       Porous Pavement
                                               26

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     Street Planter
        1-li.l bit I-AUIIK,
                   Street Planters consist of concrete boxes filled with   A
                   an engineered soil that supports vegetative growth.
                   Beneath the soil is a gravel bed that provides
                   additional storage.

                   The walls of a planter extend 3 to 12 inches above
                   the soil bed to allow for ponding tithing the unit.
                   The thickness of the soil growing medium ranges
                   from 6 to 24 inches while gravel beds are 6 to 18
                   inches in depth.

                   The planter's Capture Ratio is the ratio of its area to  v
       Ponding Height (inches)

       Soil Media Thickness (inches)

       Soil Media Conductivity (in/hr)

       Gravel Bed Thickness (inches)

       % Capture Ratio
6
V

18 -

10.0
A
*

12 *

C
                                                                                  Learn mere,
       Size for Design Storm
Restore Defaults
                     Figure 18. Example of a LID Design dialog for a street planter.
There are some additional points to keep in mind when applying LID controls to a site:
    1.   The area devoted to Disconnection, Rain Gardens, and Infiltration Basins is assumed to come
        from the site's collective amount of pervious land cover while the area occupied by Green Roofs,
        Street Planters and Porous Pavement comes from the site's store of impervious area.

    2.   Underdrains (slotted pipes placed in the gravel beds of Street Planter and Porous Pavement areas
        to prevent the unit from flooding) are not provided for. However since underdrains are typically
        oversized and placed at the top of the unit's gravel bed, the effect on the amount of excess
        runoff flow bypassed by the unit is the same whether it flows out of the underdrain or simply
        runs off of a flooded surface.

    3.   The amount of void space in the soil, gravel, and pavement used in the LID controls are listed
        in Table 4 below. They typically have a narrow range of acceptable values and results are not
        terribly sensitive to variations within this range.
                                                 27

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Table 3. Editable LID parameters.
LID Type
Disconnection
Rain Harvesting
Rain Gardens
Green Roofs
Street Planters
Infiltration Basins
Porous Pavement
Parameter
Capture Ratio
Cistern Size
Cistern Emptying Rate
Number of Cisterns
Capture Ratio
Ponding Depth
Soil Media Thickness
Soil Media Conductivity
Soil Media Thickness
Soil Media Conductivity
Capture Ratio
Ponding Depth
Soil Media Thickness
Soil Media Conductivity
Gravel Bed Thickness
Capture Ratio
Basin Depth
Capture Ratio
Pavement Thickness
Gravel Bed Thickness
Default Value
100%
100 gal
50 gal/day
4 per 1,000 sq ft
5%
6 inches
12 inches
10 inches/hour
4 inches
10 inches/hour
6%
6 inches
18 inches
10 inches/hour
12 inches
5%
6 inches
100%
4 inches
18 inches
Table 4. Void space values of LID media.
Property
Soil Media Porosity
Gravel Bed Void Ratio
Pavement Void Ratio
LID Controls
Rain Gardens, Green Roofs and Street Planters
Street Planters and Porous Pavement
Porous Pavement
Default Value
45%
75%
12%
                                              28

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5. Example Application

An example will now be presented to show how the calculator can be used to analyze small site
hydrology. The site shown earlier in Figure 3 will be used as our study area, although, because the
calculator is national in scope, we could have chosen any other location just as well.  It is a 12 acre
environmental research facility. The baseline data for the site have already been obtained from Figures
4 through 8.  These identified the  site's hydrologic soil group as B, its hydraulic conductivity as 0.108
inches/hour, its topography as moderately steep,  its closest rain gage as having an annual rainfall of
47.05 inches and its closest weather station averaging 0.2 inches per day of potential evaporation.  We
will simulate three different development scenarios (pre-development, post-development, and post-
development with LID controls) to show how one can both derive and evaluate compliance with different
stormwater retention standards. After that we will see what effect a future climate change scenario
might have on the site's ability to comply with the standard.


Pre-Development Conditions
Pre-development hydrology is often cited  as an ideal stormwater management goal to attain because
it maintains a sustainable and ecologically balanced condition within a watershed. It is also commonly
used to define  specific stormwater retention standards, as will be discussed shortly. To simulate a pre-
development condition for our study area, we must identify the land cover that characterizes the site in
its natural pre-developed state. If you pan the site's map display to the left, you will observe an adjacent
natural area that suggests a pre-development land cover of 80 percent Forest and 20 percent Meadow.
These values are entered on the Land Cover page of the calculator (see Figure 7).  For the next page of
the calculator no LID Controls are selected since we are analyzing a pre-development scenario. On the
final page of the calculator, we select to analyze the latest 20 years of rainfall data and to not ignore back
to back storm events.

Running the calculator for these conditions produces the Summary Results report listed in Table 5.  It
shows that there is an average of 71 days  per year with rainfall, but only 7 of these produce measurable
runoff. Of the 47 inches of rainfall per year, 91 percent is retained  on site. The Runoff by Rainfall
Percentile plot for this run, shown in Figure 19, indicates that it is mainly storms above 1 inch that
produce almost all of the runoff.
           Table 5. Summary results for pre-development conditions on the example site.
Statistic
A verog e Annual Ro info It (in ch es)
Average Annuai Runoff (inches)
Days per Year With Rainfalt
Days per Year with Runoff
Percent of VSet Days Retained
Smaitest Rain fa it w/ Runoff (inches)
Largest Rain fait w/o Runoff (inches)
Max. Rainfatt Retained (inches)
Current Scenario Basetine Scenario
47.01
4.08
71.00
6.80
90.43
0.14
2.42
3.25
                                              29

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Now consider a stormwater retention standard that requires a site to capture all rainfall produced from
storms up to and including the 95th percentile daily rainfall event or the rainfall that would be retained  on
the site in its natural pre-developed state, whichever is smaller. To identify the depth of runoff that must
be retained under this standard, we first need to know what the 95th percentile rainfall depth is. This can
be found from the aforementioned Runoff by Rainfall Percentile plot in Figure 19. The 95th percentile
storm corresponds to 1.75 inches. To determine the rainfall retained on the undeveloped site, we can
examine the calculator's Rainfall Retention Frequency report for this run shown in Figure 20.  Because
the standard attaches 95 % reliability to its target rainfall, we assume that the same would hold for its
retention target. From Figure 20, we see that a retention target of 1.3 inches could be met 95 % of the
time (i.e., of the 71 days per year on  average with measurable precipitation, for 67 of those the site will
retain either the entire rainfall or the first 1.3 inches, whichever is smaller).  Because this is less than the
1.75 inch, 95th percentile rainfall, the standard for this site would be to retain 1.3 inches.
Runoff Contribution by Rainfall Percentile
Daily Rainfall Depth (inches)
70 n
60 -
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10 20 30 40 50 60 70 75 80 85 90 95 99
Daily Rainfall Percentile
   Figure 19. Runoff from different size storms for pre-development conditions on the example site.
                                               30

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                         Rainfall Retention Frequency
        B8
           0,0      0.5      1.0      1.5      2.0     2.5     3.0     3.5
                                 Daily Rainfall {inches)
Figure 20. Rainfall retention frequency under pre-development conditions for the example site.
                                        31

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Post-Development Conditions
Next the calculator will be used to analyze the example site's hydrology under post-development
conditions. Because we want to compare the results against those for the pre-development case, we
first select the Use as Baseline Scenario option on the Results page of the calculator to tell it to display
our pre-development results as a comparison baseline scenario in future runs.  We then determine the
land cover for the site in its developed state. Table 6 shows the distribution of the different land cover
categories across the site. Impervious surfaces cover almost half of the total site area. Selecting the
Land Cover page of the calculator, we replace the pre-development land cover with this new one (refer
to Figure 10).
                             Table 6. Land cover for the example site.
Land Cover
Forest
Meadow
Lawn
Total Impervious Surfaces
Roofs
Parking
Roads & Sidewalks
% of Total Area
18
8
25
49
10
9
30
% of Impervious Area
-
-
-
100
20
20
60
We next return to the Results page and re-run the analysis.  Table 7 contains the resulting comparison
of summary runoff statistics between the two conditions. Note how the developed site with no runoff
controls comes nowhere close to matching pre-development hydrology. Instead of only seven days
per year with measurable runoff, there are 51 and the total volume of runoff has increased more than
fivefold. As seen in the Rainfall Retention Frequency plot of Figure 21, the 1.3 inch retention target
identified earlier can only be met about 30% of the time (which consists primarily of those days where a
low amount of rainfall is entirely contained on site).
      Table 7. Comparison of runoff statistics for post-development (Current) and pre-
      development (Baseline) conditions.
        Statistic
        Average Annual Rainfall (inches)
        Average Annual Runoff (inches)
        Days per Year With Rainfall
        Days per Year with Runoff
        Percent of Wei Days Retained
        Smoiiest Rain fail w/ Runoff (inches)
        Largest Rainfall w/o Runoff (inches)
        Max. Rainfall Retained (inches)
Current Scenario
         47.01
         22.73
         71.00
         50.77
         23.50
          0.11
          034
          1.70
Baseline Scenario
          47.01
           4.03
          71.00
           6.80
          90.43
           0.14
           2.42
           3.25
                                               32

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       120
                        Rainfall Retention Frequency
                        — Current Scenario  —  Baseline Scenario
                   i: :,
1.0      1.5      2.0      2.5      3.0
      Daily Rainfall (inches)
                                                                   3.5
4.0
Figure 21. Rainfall retention frequency for pre-development (Baseline) and post-development
                                (Current) conditions.
                                        33

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Post-Development with LID Practices
We will now add some LID practices to our example site to see how well they can make its post-
development hydrology more closely match that of pre-development.  Returning the calculator to the
LID Controls page we see there are seven types of LID controls available to apply in any combination and
sizing to the impervious areas of the site.  From Table 6, we see that roofs occupy 20 percent of the total
impervious area, parking  lots another 20 percent, and the remaining 60 percent is roads and sidewalks.
Because the site houses a research facility, we assume that we can capture runoff from the roof of the
main building (15 percent of the impervious area) in  Cisterns and use it for non-potable purposes within
the site. Runoff from the roofs, roads and parking areas on the north side of the site will be directed  into
an Infiltration Basin. A portion of the south parking area will be replaced with Porous Pavement. Finally,
strategically placed Rain Gardens will be used to intercept runoff from  the remaining roofs, roads and
sidewalks.

Figure 22 shows how the  LID Controls practices page of the calculator was filled in to reflect these
choices. A design storm size of 1.75 inches, based on the 95th percentile storm, was chosen to
automatically size each LID control.  Each LID's design dialog was launched to apply automatic sizing to it.
The results of this process are shown in Figures 23 and 24 (capture ratios for the infiltration basin, rain
gardens and porous pavement; number of cisterns /  1,000 square feet  for rain harvesting).
    National Stormwater Calculator
  Overview  Location  Soil Type  Soil Drainage  Topography Precipitation  Evaporation  Climate Change  Land Cover LID Controls  Results
   What % of your site's impervious area
   will be treated bythefollowing LID
   practices?
                       E_ 3
Disconnection

Rain Harvesting

Rain Gardens

Green Reefs

Street Planters

Infiltration Basins

Porcus Pavement

Design Storm for Sizing
(inches) (see Help)

Click a practice to customize its design,
                       1.75
   Helc
  Assign LID practices to capture runoff from impervious areas.
                                                                  Analyze a New Site  Save Current Site  Exjt
               Figure 22. Low Impact Development controls applied to the example site.
                                                 34

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Rain Harvesting
                                                        Rain harvesting systems collect runoff from rooftops
                                                        and convey it to a cistern tank where it can be used
                                                        for non-potable water uses and on-site infiltration.

                                                        The harvesting system is assumed to consist of a
                                                        given number of fixed-sized cisterns per 1000 square
                                                        feet of rooftop area captured.

                                                        The water from each cistern is withdrawn at a
                                                        constant rate and is assumed to be consumed or
                                                        infiltrated entirely on-site.
   Cistern Size (gallons)

   Emptying Rate (gallons/day)

   Number per 1,000 sq ft
                                                                                          Learn more...
Rain Garden
                                                        Rain Gardens are shallow depressions filled with an
                                                        engineered soil mix that supports vegetative growth.
                                                        They are usually used on individual home lots to
                                                        capture roof runoff.

                                                        Typical soil depths range from 6 to 18 inches.

                                                        The Capture Ratio is the ratio of the rain garden's
                                                        area to the impervious area that drains onto it.
   Ponding Height (inches)

   Soil Media Thickness (inches)

   Soil Media Conductivity (in/hr)

   % Capture Ratio
                                                                                          Learn more.
           Figure 23. Design parameters for Rain Harvesting and Rain Garden controls.
                                                    35

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Infiltration Basin
                                              Mribw
   Basin Depth (inches)

   % Capture Ratio
41
                Infiltration basins are shallow depressions filled with
                grass or other natural vegetation that capture runoff
                from adjoining areas and allow it to infiltrate into
                the soil.

                The calculator assumes that the infiltration rate from
                the basin is the same as for site's native soil,

                The basin's Capture Ratio is the area of the basin
                relative to the impervious area whose runoff it
                captures.
                                                                                          Learn mere...
Porous Pavement
   Pavement Thickness (inches)

   Gravel Layer Thickness (inches)

   % Capture Ratio
                                                        Continuous Porous Pavement systems are excavated
                                                        areas filled with gravel and paved over with a porous-
                                                        concrete or asphalt mix.

                                                        Modular Block systems are similar except that
                                                        permeable block pavers are used instead.

                                                        Normally all rainfall will immediately pass through
                                                        the pavement into the gravel storage layer below it
                                                        where it can infiltrate at natural rates into the site's
                                                        native soil.
                                                        Pavement layers are usually 4 to 6 inches in height    ^
                                                                                          Learn more...
      Figure 24. Design parameters for the Infiltration Basin and Porous Pavement controls.
                                                    36

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Re-running the calculator for the developed site with LID controls produces the summary results shown
in Table 8. The site now comes very close to matching the pre-development hydrology. It has only one
more day per year, on average, with runoff than does the pre-developed site and only one more inch
of annual runoff. Figure 25 shows that the runoff frequency of the controlled site is quite close to the
pre-developed site. Figure 26 shows an almost identical contribution of different size storms to runoff
between the two. Finally, in Figure 27, we see that with this extensive use of LID controls the site could
meet the 1.3 inch retention standard at the required 95% level of confidence.


     Table 8. Runoff statistics for pre-development (Baseline) and post-development with LID
     controls (Current) scenarios.
Statistic
Average Annual Rainfall (inches)
Average Annual Runoff (inches)
Days per Year With Rainfall
Days per Year with Runoff
Percent of Wet Days Retained
Smallest Rainfall w/ Runoff (inches)
Largest Rainfall w/o Runoff (inches)
Max. Rainfall Retained (inches)
Current Scenario
47.01
5.12
71.00
7,74
89,09
0.14
1.92
2.96
Baseline Scenario
47.01
4.08
71.00
6.80
90.43
0.14
2.42
3.25
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234567 !:i 9
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          Figure 25. Daily runoff frequency curves for pre-development (Baseline) and post-
                       development with LID controls (Current) conditions.
                                              37

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Runoff Contribution by Rainfall Percentile
Daily Rainfall Depth (inches)
70 -,
60 -
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    Figure 26. Contribution to total runoff by different magnitude storms for pre-
development (Baseline) and post-development with LID controls (Current) conditions.
                        Rainfall Retention Frequency

                        ^—  Current Scenario  •^^— Baseline Scenario
         102
         :,'

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                                Daily Rainfall {inches)
                                                        3 !:
                                                                      4 0
  Figure 27. Retention frequency plots under pre-development (Baseline) and post-
               development with LID controls (Current) conditions.
                                      38

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Climate Change Impacts
As a final step in our analysis of the example site we will calculate what impact a future change in local
climate might have on the ability of the LID practices we installed to control runoff. Figure 28 is the
Climate Change page for our site, showing how the different far term scenario projections affect monthly
rainfall  levels and extreme storm events. Observe that the Warm/Wet scenario results in higher average
rainfall  while the Hot/Dry scenario produces slightly larger extreme storms. To provide the largest
climate change  impact we will select the Warm/Wet scenario for this example.

Because we want to compare the effect that a future Warm/Wet rainfall pattern has on the developed
site with LID controls to the previous run that used the historical rainfall record, we return to the Results
page and remove the previous Baseline Scenario (the one for the pre-developed site) and replace it
with the most current set of results - the one for the developed site with LID controls analyzed for the
historical rainfall record.  We then re-run the analysis, using our same set of LID designs but now subject
to changes in the rainfall  record that reflect a Warm/Wet future climate condition.
   National Stormwater Calculator
  Overview || Location || Soil Type 'j Soil Drainage | Topography | Precipitation || Evaporation | Climate Change  Land Cover | LID Controls || Results
   Select a future climate change scenario
   to apply:

    O No change

    O Hot/Dry

    O Median change

    © Warm/Wet

   Select the time period to which the
   climate change scenario applies:

    O Near Term (2020-2049)

    0 Far Term (2045 - 2074)
  Helc
Percentage Change in Monthly Rainfall for Far Term Projections

         --+-- Hot/Dry   --*---  Median   --•&-- Warm.'Wet
Jan  Fcb  Mar  Apr   May   Jun   Jul  Aucj  Scp  Oct   Nov   Dec
                                          Annual Max. Day Rainfall (inches) for Far Term Projections

                                          -A--- Hot'Dry   —#--  Median   --?•-- Warm.'Wet --*-- Historical
                                                              15        30
                                                           Return Period (years)
                                                                                  SO
                                                                                           1,,,,
 Select a climate change scenario to use,
                              Analyze a New Site Save Current Site  Exit
                       Figure 28. Climate change scenarios for the example site.
                                                  39

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The resulting Summary Results report for the adjusted rainfall record is shown in Table 9.  Remember
that the Current Scenario results represent the site response under the future set of climatic conditions
while the Baseline Scenario results are for historical conditions. We observe that the climate change
impact on the long term performance of the site is quite modest. Although annual rainfall increases by 4
inches (8.5 %), there is only 1.6 additional inches of runoff per year and only one more day per year with
measurable runoff.

From the Rainfall / Runoff Frequency plot of Figure 29 we see that the distribution of daily rainfall
events between the two climate scenarios is quite similar for the smaller size storms but that storms
above 3 inches will occur more frequently for the future Warm/Wet scenario. (E.g., daily rainfalls
exceeding 4 inches have historically occurred only once every 3 years but are predicted to occur once
every 18 months in the future.) Regarding the retention target of 1.3 inches, the Rainfall Retention
Frequency plot of Figure 30 shows that under the future Warm/Wet scenario there is a drop of only one
percentage point in the probability of meeting the target (from 95 to 94  %).
    Table 9. Summary results under a Warm/Wet (Current) climate        scenario
    compared to the historical (Baseline) condition.
                                                       aie
                                                       202
                                                       3,03
7,74


0,14
1,92
296
                                              40

-------
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Figure 29. Daily rainfall and runoff frequencies for the historical (Baseline) and Warm/Wet scenarios
               102
               84  -
                               Rainfall Retention Frequency
                              ^^— Current Scenario   ^^— Baseline Scenario
                                          2           3
                                       Daily Rainfall (inches)
          Figure 30. Target event retention for the historical (Baseline) and Warm/Wet
                                    climate scenarios.
                                            41

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Finally, we can examine how the site performs when faced with extreme, high intensity rainfall events
that are expected to occur only once every five or more years. Figure 31 shows the Extreme Event
Rainfall / Runoff report for the developed site subjected to the two climate scenarios. We observe that
there is only a minor increase in estimated rainfall amounts for all return periods under the Warm/Wet
scenario as compared to the baseline historical scenario.  These amounts simply mirror the numbers
displayed on the Climate Change page of the calculator for this site (see Figure 28). None of these
extreme event storms can  be completely captured by the LID controls deployed on the site. But this
is to be expected since the LID controls were only designed to capture up to 1.3 inches of rainfall. The
increase in the amount of bypassed rainfall under the future Warm/Wet scenario compared to the
historical record appears to be proportional to the difference in the amount of rainfall between the two.
                             Extreme Event Rainfall / Runoff
Rainfall         C^H Runoff
Baseline Runoff
                                                                Baseline Rainfall
              •I/
              10 --
           u
           «
          ^
           o

          a:
           o
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          '5
          "5  2
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                             10  10     15  '5     30  30      50  5C
                            Return Period on Max. Day Rainfall (years)
                                                 1:::: - OQ
            Figure 31. Extreme event rainfall and runoff for the Warm/Wet climate change
                            scenario and the historical record (Baseline).
                                             42

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6. Computational Methods

The National Stormwater Calculator uses SWMM 5 (EPA, 2010) as its computational engine. SWMM is
a comprehensive model that addresses surface runoff, infiltration, groundwater, snow melt, stormwater
detention, and full dynamic wave flow  routing within any configuration of open and closed channels.
Only its runoff, infiltration, and LID sub-models are used by the calculator. This section describes how
SWMM carries out its hydrology calculations, how the calculator sets up a SWMM model for the site
being analyzed, how it populates the parameter values needed to run the model, and how it post-
processes the results produced by SWMM.


SWMM's Runoff Model
SWMM allows a study area to be subdivided into any number of irregularly shaped subcatchment
areas to best capture the effect that spatial variability in topography, drainage pathways, land cover,
and soil characteristics have on runoff generation.  An idealized subcatchment is conceptualized as a
rectangular surface that has a uniform  slope and drains to a single outlet point or channel or to another
sub-catchment. Each subcatchment can be further divided into three subareas: an impervious area with
depression (detention) storage, an impervious area without depression storage and a pervious area with
depression storage.  Only the latter area allows for rainfall losses due to infiltration into the soil.

SWMM uses a nonlinear reservoir model to estimate surface runoff produced by rainfall over each sub-
area of a subcatchment  (Chen and Shubinski 1971). From conservation of mass, the net change in  depth
per unit of time of water stored on the land surface is simply the difference between inflow and outflow
rates over the subcatchment:

         Sd   ,      -                                                                  I 1 \
        -=i-e-f-q


where d = depth of water on the land surface, / = rate of rainfall + any runon from upstream
subcatchments, e = evaporation rate,/= soil infiltration rate, q =  runoff rate and t = time.  Note that the
fluxes /, e,f, and q are expressed as flow rates per unit area. By assuming that the overland flow across
the sub-area's width is normal, the Manning equation can be used to express the runoff rate q as:
                An
where W= width of the subcatchment's outflow face, S = subcatchment slope, n = roughness
coefficient, A = subcatchment area and d  = depression storage depth. The latter represents initial
rainfall abstractions such as surface ponding, interception by vegetation, and surface wetting.  Note that
no runoff occurs when d is below d .  How the calculator sets values for the parameters in this equation
is discussed later on in this section.

Substituting (2) into (1) produces an ordinary non-linear differential equation that can be solved
numerically for d over a sequence of discrete time steps given externally imposed rainfall and
evaporation rates and a computed infiltration rate/ By knowing d, (2) can be evaluated to determine
the runoff q at each time step.

SWMM 5 offers a choice of three different methods for computing soil infiltration rates-the Morton,
Green-Ampt and Curve Number models. The Green-Ampt method was chosen for use in the calculator

                                              43

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because it is based on physical parameters that can be related to the site's soil type. SWMM uses the
well-known Mein-Larson form of this model (Mein and Larson, 1973):
where Kg = saturated hydraulic conductivity, <(> = soil porosity, qo = initial soil moisture content, ip =
suction head at the wetting front, and F= cumulative infiltration volume. Equation (3) applies after a
sufficient time has elapsed to saturate the top layer of soil. During wet periods the moisture content of
the uppermost layer of soil increases at a rate of where L is the layer depth equal to  (for I, in inches
and KS in in/hr).  During dry periods the moisture content decreases at a rate of krqo where the rate
constant kr is estimated as  . At the start of the next wet period qg is set equal to the current moisture
content.


SWMM's LID  Model
SWMM 5 has been extended to explicitly model several types of LID practices (Rossman, 2009).
Consider a typical bio-retention cell in the form of a street planter as shown in the left panel of Figure 32.
Conceptually it can be represented by a series of three horizontal layers as depicted in the figure's right
panel.
                                                             Rainfall   ET
                                                  Overflow          t  t
                                                                     /   •
                                                                                  Runon
I — s
±3
Surface Layer
Soil Layer /
Storage Layer
Infiltratic
H

                                                  Underdrain
                                                                           Infiltration
                    Figure 32. Conceptual representation of a bio-retention cell.
The surface layer receives both direct rainfall and runon from other areas. It loses water through
infiltration into the soil layer below it, by evaporation of any water stored in depression storage and
vegetative capture, and by any surface runoff that might occur. The soil layer contains an amended soil
mix that can support vegetative growth. It receives infiltration from the surface layer and loses water
through evaporation and by percolation into the storage layer below it. The storage layer consists of
coarse crushed stone or gravel. It receives percolation from the soil zone above it and loses water by
either infiltration into the underlying natural soil or by outflow through a  perforated pipe under drain
system.

The hydrologic performance of this LID unit can be modeled by solving the mass balance equations that
express the change in water volume in each layer over time as the difference between the inflow water
flux rate and the outflow flux rate. The equations for the surface layer, soil layer, and storage layer can
                                              44

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be written as
         Otii   •  i           f
         — = i + qo-e1-h-q1                                                    (4)

            i&&2    f         f
           2-^-=fi-e2-f2                                                          (5)

         *s    = /2-/3-q3                                                         (6)
respectively, where dt = depth of ponded surface water, c^^ = soil layer moisture content, d3= depth of
water in the storage layer, / = rainfall rate, qQ= upstream runon rate, q^ surface runoff flow rate, q3
= underdrain outflow rate, ex= surface evaporation rate, e2 = soil zone evaporation rate,/ = surface
infiltration rate,/ = soil percolation rate,/ = native soil infiltration rate, L2 = depth of the soil layer, and/3
= porosity of the storage layer.

The flux terms (q, e, and/) in these equations are functions of the current water content in the various
layers (d^ q2, and d3) and specific site and soil characteristics. The surface and native infiltration rates
are determined using the Green-Ampt model. The soil percolation rate decreases exponentially from K
with decreasing soil moisture:   where p is a percolation constant typically in the range of 5 to 15. Under
drain outflow rate is modeled as a power function of head of water above the drain outlet:  where a and
3 are constants and dd is the offset distance of the drain from the bottom of the unit.

This set of equations can be solved numerically at each runoff time step to determine how an inflow
hydrograph to the LID unit is converted into some combination of runoff hydrograph, sub-surface
storage, sub-surface drainage, and infiltration into the surrounding native soil. In addition to Street
Planters and Green Roofs, the bio-retention model just described can  be used to represent Rain Gardens
by eliminating the storage layer and also Porous Pavement systems by replacing the soil layer with a
pavement layer.


Site  Model without LID Controls
To analyze a site's hydrology without any LID controls, the calculator creates a single SWMM
subcatchment object and populates it with the following parameter values:

Site Area:
A nominal area of 10 acres is used. As mentioned earlier, because all results are expressed per unit of
area, there is no need to use an actual site area.

Width:
This is the width of the outflow face of a conceptual rectangular plane over which runoff flows. In most
SWMM models, it is initially set to the site area divided by the length of the overland flow path that
runoff follows, and is then refined by calibration against measured runoff hydrographs.

When assigning an  overland flow path length, particularly for sites with  natural land cover, one must
recognize that there is a maximum distance over which true sheet flow prevails.  Beyond this, runoff
consolidates into rivulet flow with much faster travel times and less opportunity for infiltration.

There is no general agreement on what distance should be used as a maximum overland flow path
length. The  NRCS recommends a maximum length of 100 ft (USDA, 2010), while Denver's Urban
                                              45

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Drainage and Flood Control District uses a maximum of 500 ft. (UDFCD, 2007). For the calculator, a
conservative value of 150 ft is used. The resulting width parameter for the SWMM input file is therefore
set to the nominal area (10 acres) divided by this length.

Slope:
A value of 2% is used for flat slopes, 5% for moderately flat slopes,  10% for moderately steep slopes, and
20% for steep slopes.

Percent Impervious:
SWMM only considers two types of land surfaces - impervious and pervious - each with its own
depression storage depth and surface roughness parameters.  It does not explicitly consider the different
types of land covers that comprise these two categories and how their characteristics affect depression
storage and roughness. Impervious surfaces, such as roads,  roofs, sidewalks, and parking lots show
minor variation in these parameters; it is therefore acceptable to treat them as a single category.

To provide more refinement in characterizing pervious areas, the calculator allows the user to specify
the percentage of the site's area devoted to four different sub-categories of land surface cover: Forest,
Meadow, Lawn, and Desert. These sub-categories were chosen from a distillation of categories  used
in the Western Washington Hydrology Model (Clear Creek Solutions, Inc, 2006) and the National Green
Values Calculator (Center for  Neighborhood Technology, 2009). The remaining area is assigned as
Impervious Cover.

Depression Storage Depth:
Depression storage corresponds to a depth that must be filled prior to the occurrence of any runoff.  It
represents initial abstractions such as surface ponding, interception by flat roofs and vegetation, and
surface wetting. Separate values are supplied for the pervious and impervious areas of a catchment.

Depression storage for impervious surfaces is relatively small, ranging from 0.05 to 0.1 inches (ASCE,
1992). For the remaining pervious area, the calculator uses an area-weighted average of the storages
associated with each type of pervious land surface that covers the site. Table 10 contains depression
storage depths that have been suggested by different organizations for each land cover category. The
last column contains the value used in the calculator.
                   Table 10. Depression storage depths for different land covers.
Land Cover
Forest
Meadow
Lawn
Desert
Impervious
ASCE (1992)
0.3
0.2
0.1-0.2

0.05-0.1
UDFCD (2006)

0.4
0.35

0.05-0.1
USDA (2010)a
0.53
0.56
0.50
0.27
0.04
Calculator
0.40
0.30
0.20
0.25
0.05
   3 Set equal to the initial abstraction computed for the land cover's Curve Number and a Group D
   soil (to minimize any contribution from infiltration).
                                              46

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Roughness Coefficient:
The roughness coefficient reflects the amount of resistance that overland flow encounters as it runs off
of the land surface.  SWMM uses separate values for the impervious and pervious areas of a catchment.
Table 11 lists roughness coefficients published by several different sources for each land cover category,
along with those selected for use in the calculator. The value presented to SWMM, as representative of
the site's pervious area, is the area-weighted average of the roughness for each land cover category.
                     Table 11. Roughness coefficients for different land covers.
Land Cover
Forest
Meadow
Lawn
Desert
Impervious
SWMa
0.4

0.2-0.35

0.01-0.014
Engmanb

0.01-0.32
0.3-0.63

0.01-0.013
Yenc
0.06-0.12
0.04-0.18
0.03-0.12
0.032-0.045
0.01-0.025
Calculator
0.40
0.20
0.30
0.04
0.01
   a Stanford Watershed Model (Crawford and Linsley, 1966)
   b Engman (1986)
   c Yen (2001)
Percent of Impervious Area without Depression Storage:
This parameter accounts for immediate runoff that occurs at the beginning of rainfall before depression
storage is satisfied, caused by impervious areas immediately adjacent to storm drains.  The calculator
assumes a value of 0 to give a maximum credit to the small amount of depression storage used for
impervious surfaces.

Infiltration Parameters:
There are three parameters required by the Green-Ampt infiltration model used in the calculator:

    1.  Saturated Hydraulic Conductivity (Ksat) - the rate at which water will infiltrate through a
       completely saturated soil.
    2.  Suction Head (y) - capillary tension (force at which water is held within soil pores) at the
       infiltration wetting front.
    3.  Initial Moisture Deficit (IMD) - the difference in moisture content between a completely wet
       and completely dry (or drained) soil (i.e., the difference between the soil's porosity and its field
       capacity)
Values for these parameters can be assigned based on soil group. Using the NRCS's definitions (USDA,
2010), an A soil is mostly sand, a 6 so/7 is typical of a sandy loam, a Csoil is like a clay loam, and a D
soil is mostly clay.  Table 12 lists the average values of Ksat, y, and IMD for these four soil types from
measurements made from roughly 5,000 soils (of all types) across the U.S. (Rawls et al., 1983). Also
shown, are the values that were chosen for use in the calculator.  Note that the calculator Ksat values
are defaults. The user can also use values extracted from the SSURGO data base or enter their own site-
specific numbers.
                                              47

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                      Table 12. Infiltration parameters for different soil types.
Soil Type
Sand
Sandy Loam
Clay Loam
Clay
Rawls et al.
Ksat (in/h)
4.6
0.43
0.04
0.01
ip(in)
1.95
4.33
8.22
12.45
IMD
0.38
0.26
0.15
0.10
Calculator
Ksat (in/h)
4.0
0.4
0.04
0.01
ip(in)
2.0
4.3
8.2
12.5
IMD
0.38
0.26
0.15
0.10
Site Model with LID Controls
The basic SWMM model used by the calculator is extended when LID controls are applied to the site.
These extensions depend on the type of LID that is deployed.

 Disconnection
A second subcatchment is added to the model when Disconnection is employed. Its impervious area
equals the fraction of the site's total impervious area that is disconnected, while its pervious area equals
the Capture Ratio times the latter area. Both of these areas are assigned the same parameters as the
original subcatchment, and the original subcatchment has its areas reduced to reflect the presence of
this second subcatchment. SWMM's option to internally route runoff from the impervious sub-area on
to the pervious sub-area is used with this subcatchment.

Infiltration Basin
An Infiltration Basin also adds an additional subcatchment to the model that contains the impervious
area treated  by the basin plus a pervious area equal to the area of the basin. The impervious and
pervious areas of the original subcatchment are reduced accordingly. The impervious area in the new
subcatchment has the same parameter values as in the original subcatchment. However the pervious
area has its depression storage set equal to the Basin Depth as specified by the calculator user. Its
roughness coefficient is set to 0 which forces SWMM to treat any ponded water in excess of the Basin
Depth as immediate runoff. All runoff from the impervious sub-area is internally routed on to the
pervious (i.e., infiltration basin) sub-area.  This setup is similar to that used for Disconnection, except
instead of allowing for sheet flow with infiltration across a pervious area it utilizes this area as an
infiltrating storage unit with overflow.

Rain Harvesting
This LID option is modeled by introducing an additional, completely impervious subcatchment whose
area is the portion of the original subcatchment impervious area that is captured by cisterns. This
amount of impervious area is subtracted from that of the original subcatchment.  A new Storage Node
element is added into the  SWMM model to represent the combined retention volume of the cisterns.
The added subcatchment sends its runoff to this storage node. The maximum depth of the storage node
is set to a nominal height of 48 inches.  Its surface area equals the  area of its contributing subcatchment
times the number of cisterns per unit area  (as supplied by the user) times the area per cistern. The latter
is found by dividing the  user-supplied volume per cistern by the  nominal depth.  Note that any nominal
depth can be used since the area per cistern will adjust itself accordingly to maintain an equal amount
of total cistern storage volume.  The rate at which the cisterns empty is converted into an equivalent
"infiltration" rate for the storage node, equal to the user-supplied emptying rate (in gal/day) divided by
the area per  cistern.  When the cisterns become full, any overflow shows up as node flooding in SWMM,

                                              48

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which gets added to the runoff from other portions of the site.

Other LID Controls
Rain Gardens, Green Roofs, Street Planters, and Porous Pavement do not require additional
subcatchments -they are all placed within the original subcatchment used to model the site.  The
original pervious area of this subcatchment is reduced by the amount of area devoted to Rain Gardens,
while the original impervious area is reduced by the area taken up by any Green Roofs, Street Planters
and Porous Pavement.

LID Sizing
When the user supplies a design storm depth, the LID controls can be automatically sized to retain this
depth. For  Rain Harvesting, the number of cisterns required per unit area is simply the design storm
depth divided by the volume of a cistern. For the other controls, the Capture Ratio (CR), which is the
ratio of the LID control area to the impervious area being treated, is computed as
                    Dstorm
where Dstorm is the design storm depth (inches over 24 hours), Dlid is the storage depth (inches)
provided by the LID control, and Ksat is the saturated hydraulic conductivity of the native soil
underneath the LID control (inches/day).  The 0.5 factor accounts for the average amount of infiltration
occurring over the duration of the design storm. The LID storage depth Dlid consists of any ponding
depth plus the depths of any soil and gravel layers times their respective void fractions.


Precipitation Data
The SWMM model built by the calculator includes a single Rain Gage object that provides it with hourly
precipitation data. These data come from a nearby National Weather Service rain gage as selected by
the user. The calculator can access historical hourly rainfall data for 8,159 stations that are part of the
data holdings for EPA's BASINS system (http://water.epa.gov/scitech/datait/models/basins/index.cfm).
The data for each gage is contained  in its own file on an EPA server, which is downloaded and made
available to the calculator.  The national coverage provided by these gages is shown in Figure 33.
                                              49

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          Precipitation Locrtons
         YfCoun!
            HS-9
            10-19
          n..-
          States
                             D
                    Figure 33. NWS rain gage locations included in the calculator.
In addition to simulating a long term record of hourly rainfall, the calculator also computes the runoff
produced from a series of 24-hour rainfall events that represent extreme, high intensity storms with
different annual return periods. How the depths of these storms are estimated for each rain gage is
discussed in the Climate Change sub-section later on. To simulate each storm, the calculator uses the
NRCS (SCS) 24-hour distributions (USDA, 1986) to disaggregate the event's total rainfall depth into a
series of rainfall intensities (measured in inches per hour) at six minute intervals.  Figure 34 shows the
different NRCS distributions and Figure 35 shows which distribution applies to each region of the US.

Each precipitation station is pre-assigned a distribution type (I, IA, II, or III) based on the region it falls in.
After the long term simulation is completed, the SWMM input file is modified as follows:

    1.   A time series object is added to the model which is the result of applying the appropriate SCS
        distribution at a six minute interval to the total 24-hour rainfall amount being simulated.
    2.   The source of rainfall data for the model is set to the newly added time series.

    3.   The duration of the simulation is changed to three days starting on June 1.

    4.   After running the model, the only output  recorded  is the total runoff from the event.

        These steps are repeated for each return period extreme event analyzed.
                                               50

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                   1.0
                 '"
                   0.0
                                                 II
                                                       •III
                      03      6     9     12     It.     18     21     24
                                        Time (hours)
              Figure 34. NRCS (SCS) 24-hour rainfall distributions (USDA, 1986).
   IA
                                                                               Typo 1
                                                                               Type IA
                                                                           I   I Type II
                                                                           I   I Type III
Figure 35. Geographic boundaries for the different NRCS (SCS) rainfall distributions (USDA, 1986).
                                           51

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Evaporation Data
The BASINS holdings only include 329 stations with measured evaporation data more recent than
January 1, 2000 and at least a 5-year period of record. About 200 of the observed evaporation stations
appear to have missing data for some months of the year.  Because of this sparseness of measured
evaporation, it was decided to generate evaporation values using daily temperature data from 5,236
weather stations across the U.S. which also measured hourly precipitation. The Penman-Monteith
algorithm was extracted from the SWAT model (Neitsch et al., 2005), and used to compute daily
potential evaporation from daily precipitation and min/max air temperature, along with generated solar
radiation, relative humidity, and wind speed. Additional details of this calculation can be found in the
Quality Assurance Report produced for this project by Aqua Terra Consultants (Aqua Terra Consultants,
2011). The locations for which evaporation rates were generated are displayed in Figure 36.
Computed PIv'ET
AnnualSum
• 0 - 30
1 1 30 - 4D
CH 40 - 50
EH 50 - 60
• 60-70
I 70+
States
D
                                                                                   . JSi-
        Figure 36. Locations with computed evaporation rates (Alaska and Hawaii not shown).


The original result of these calculations was an average potential evaporation rate for each day of
the year (365 values) for each station. A sensitivity analysis was performed with the calculator to see
what effect there would be in using a monthly average value instead (12 values per station). Using
the monthly values produced annual runoff volumes that were only 2 to 5% different than those from
the daily values. It was therefore decided to use just the monthly average evaporation values for
the calculator.  Each NWS station is identified by its latitude, longitude, and twelve monthly average
evaporation  rates that are contained in a table built into the calculator. This table is used to supply
evaporation  rates to the SWMM model constructed by the calculator.
                                              52

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Climate Change Effects
The calculator obtains its climate change scenarios and their effect on local precipitation and
temperature directly from another EPA project called GREAT (Climate Resilience Evaluation and Analysis
Tool) (EPA, 2012). GREAT is a decision support tool to assist drinking water and wastewater utility owners
in understanding, evaluating and addressing climate change risks. It contains a database of climate
change effects across the US localized to a grid of 0.5 degrees in latitude and longitude (about 30 by 30
miles). These effects include changes in monthly average precipitation, monthly average temperature,
and extreme event 24-hour rainfall amounts for each of three different climate change scenarios in two
different future time periods.

GREAT uses statistically downscaled General Circulation Model (GCM) projections (Maurer, 2007) from
the World Climate Research  Programme (WCRP) Coupled Model Intercomparison Project Phase 3
(CMIP3) archive (Meehl et al., 2007) as the source of its climate change data. The CMIP3  archive was
chosen by GREAT because

    •    it contains 112 runs from 16 internationally recognized models using several emission scenarios;

    •    it supported model-based analyses presented in the IPCC Fourth Assessment Report (IPCC,
        2007);

    •    it facilitates the comparison  and diagnosis of model outputs by standardizing many of the
        assumptions and boundary conditions used;

    •    it is downscaled to appropriate spatial (regional, watershed) and temporal (monthly) scales using
        a proven downscaling technique;

    •    it contains well-documented model output that is widely available to researchers; and

    •    it has a high degree of scientific credibility and the archive encompasses a broad range of
        assumptions concerning demography, economic integration, technological advance, energy use,
        and greenhouse gas emissions.

CREAT limited its use of CMIP3 results to the nine GCM models that were most representative of US
climate conditions and used the IPCC's "middle of the road" projection of future economic growth. The
latter  is characterized by (1) rapid economic growth, (2) global population that peaks in mid-century, (3)
the quick spread of new and efficient technologies, (4) the global convergence of income  and ways of
life, and (5) a balance of both fossil fuel and non-fossil energy sources (IPCC, 2007).

Each of the nine models produces a different set of results for each future year within  each downscaled
Y-i degree grid cell. To represent this type of uncertainty inherent in predicting future climate conditions,
CREAT defined three scenarios that span the range of results produced by the models for  a future
projection period.  The results were expressed as changes in both overall annual and monthly average
temperature and rainfall with respect to the averages obtained from running each model  over a
historical period extending from 1981 to 2010.

The Warm/Wet scenario used the model that came closest to the 5th percentile average temperature
change and 95th percentile average rainfall change among the nine models over the simulated period.
The Median scenario selected the model that was closest to the  median average temperature and
rainfall changes. The Hot/Dry scenario used the  model that was closest to the 95th percentile average
temperature change and 5th  percentile average rainfall change. Two different projection periods were
selected: 2020 - 2049 (centered on 2035) and 2045 - 2074 (centered on 2060).
                                              53

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            15.4
            12.7
            7.3
           4.7
           2
       O
           -0.7
           -3.4
           -8.7
           -11.4
                                 IMPIE]
                                                                    ECHO]
                                                                    IPSL
                                                                        GF21
               .4
                             3.3
                                    4.2
                                           4.5     4.7
                                         Temp Change (F)
                                                                 5.2
                                                                        5.5
                                                                               5.S
Figure 37. CMIP3 2060 projected changes in temperature and precipitation for Omaha, NE (EPA, 2012).


An example of how the scenarios were defined is pictured in Figure 37 for the 2060 projection period for
the grid cell containing Omaha, NE. In this figure, the square symbols are results from the nine different
climate models, the green circles are the target scenarios (5T/95P = warm/wet, 50T/50P = median, and
95T/5P = hot/dry), and the three blue squares are the models selected for this particular location.  Note
that the selection of which GCM model output goes with which scenario can change depending on grid
cell and projection year.

Once the model output to use for each scenario in each projection period in each grid cell was identified,
GREAT extracted its CMIP3 results to produce a database of percent changes in monthly average
precipitation and absolute changes in monthly average temperature for each scenario for each of
the two projection periods in each grid cell across the US. For precipitation impacts, the stormwater
calculator used this data to construct a table for each combination of climate scenario and projection
year (six in total) containing the change in monthly (January - December) average precipitation for each
of its 8,159 rain gages. When the calculator runs SWMM to evaluate the  long-term rainfall / runoff for a
site under a particular climate change scenario, it first creates a new hourly rainfall file from the original
one downloaded from the EPA server. In this new file each historical  hourly rainfall is adjusted by the
percent change (up or down) for the gage and month of the year contained in the appropriate climate
change scenario table.
                                              54

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Regarding temperature changes, the monthly changes in CREAT's database were used to generate new
sets of monthly average evaporation rates for the calculator. The same procedure described earlier,
using the SWAT model's Penman-Monteith procedure, was used to compute bare soil evaporation rates
for each day of temperature recorded at 5,236 different NWS weather stations. However now the
daily temperatures were first modified by applying the monthly temperature changes belonging to the
climate change scenario for the grid cell in which the weather station was located. The multi-year daily
evaporation values were then averaged into a set of twelve daily rates, one for each month of the year.
This process was repeated for each climate change scenario and projection year at each weather station
location. The result was another set of six tables, each containing a set of modified monthly evaporation
rates for all weather stations for a particular scenario and projection year.

It turned out that the climate change modified evaporation rates showed little variation between the
different scenarios for a given month at any particular location, with most differences being 0.02 inches/
day or  less. One possible reason for this is that climate change effects for the other variables that
influence the Penman-Monteith estimates, such as wind speed, relative humidity,  and solar radiation,
were not considered. Even though the variations are slight, the tables were still constructed and utilized
for each of the climate scenarios as was done for monthly precipitation.  The monthly evaporation  rates
appearing in the table for the user's choice of climate change scenario are inserted into the SWMM input
file for a particular site instead of the rates based on historical temperatures.

The third climate-influenced outcome that the calculator considers is the change in the size and
frequency of intense precipitation events. GREAT considered this effect of climate change by fitting a
Generalized Extreme Value (GEV) probability distribution to the collection of annual maximum 24-hour
(midnight to midnight) rainfall amounts over a 30 year period simulated by the CMIP3 GCM used for
each scenario. Under the cumulative GEV distribution, the annual maximum daily rainfall amount x that
is exceeded only once every /years is:
where u, is a location parameter, o is a scale parameter, and is a shape parameter. These GEV
parameters can be estimated from a multi-year series of daily rainfall data.

GREAT estimated GEV parameters for both the historical record and all six of the future climate scenarios
for each rain gage location in the calculator's database. From these parameters, values of the annual
maximum 24-hour rainfall depths for return periods of 5, 10, 15, 30, 50, and 100 years were calculated
using Eq. 8 and were placed in a set of seven tables, one for the historical record and six for the future
climate change scenarios (three different model outcomes in each of two future time periods). Each
set of extreme event storms corresponding to the six return periods for either the historical record or
for a future climate change scenario at a given rain gage location was simulated in SWMM using the
procedure described earlier in the Precipitation Data sub-section of this guide.


Post-Processing
For the long-term continuous simulation of rainfall / runoff, the calculator runs its site model through
SWMM using a 5 minute computational time step over each year of the period of record selected by
the user,  and requests that SWMM use a 15 minute reporting interval for its results. SWMM writes the
rainfall intensity and the runoff results it computes at this reporting interval to a binary output file. The
calculator then reads this output file and aggregates rainfall and runoff into daily totals, expressed as
inches, for each day of the simulation period. It also keeps track of how many previous days with no

                                              55

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measurable rainfall occur for each day with measurable rainfall.  Measurable rainfall and runoff is taken
as any daily amount above the user-supplied threshold (whose default is 0.1 inches). For days that have
runoff but no rainfall, the runoff is added to that of the previous day. After the aggregation process
is complete, the long-term simulation results have been distilled down into a set of records equal in
number to the number of days with measurable rainfall; where each record contains a daily rainfall, daily
runoff, and number of antecedent dry days.

For extreme 24-hour storm events, SWMM makes a separate run for each event over a three day time
period to allow for LID storage to drain down. Each run has different values in its time series of rainfall
intensities reflecting the different total depth associated with each extreme event return period.  For
these runs the only output recorded is the total runoff from the site.

The Summary Results report produced by the calculator (refer to Figure 13) comes from a direct
inspection of the long term daily rainfall/runoff record.  The Maximum Retention Volume statistic is
simply the largest difference between daily rainfall and its corresponding runoff among all records.

The Rainfall / Runoff Frequency report (see Figure 14) is generated by first sorting daily rainfall values
by size, ignoring consecutive rainfall days if the user selected that option.  The days per year for which
each rainfall value is exceeded, is computed as (N -}) / Y, where N is the total number of rainfall  values,
/ is the rank order of the rainfall in the sorted list, and Y is the total years simulated. Then  each rainfall
- exceedance frequency pair is plotted. The same set of operations is used to generate the runoff
exceedance frequency curve, except now N is the total number of runoff values and / is the rank order of
a runoff value in the sorted list.

The Runoff by Rainfall Percentile report (see Figure 16) is generated as follows:

    1.  The daily  measurable rainfall values are sorted by size and  a set of different percentile values are
       identified (the 10, 20, 30, 40, 50, 60, 70, 75, 80, 85, 90, 95, and 99-th percentiles).

    2.  The days with rainfall that fall within each percentile interval are identified, honoring the user's
       choice to  either include or exclude  consecutive wet days.

    3.  The total runoff from events in each interval, as a  percentage of the total runoff from all events,
       is computed and plotted.

The Rainfall Retention Frequency report (see Figure 15) is generated by taking the same set of rainfall
percentiles used in the Runoff by Rainfall Percentile report, only referring to them as retention volumes.
For each retention volume, the percentage of daily rainfall events providing that amount of retention is
computed. This is done by examining each day with observable rainfall, ignoring back to back wet days
if that option was selected. If there was no measurable runoff for the day, then the count  of retained
events for the retention volume  being analyzed is incremented. Otherwise, if the rainfall was at least as
much as the target retention  and the difference between rainfall and runoff was also at  least this much,
then the count of retained events is also incremented. The retention provided for the given retention
target is simply the number of retained events divided by the total  number of daily events. This process
is repeated for each of the thirteen pre-selected retention volumes and the resulting pairs of retention
volume - retention frequency values are plotted.

The Extreme Event Rainfall / Runoff report (see Figure 17) is generated by simply plotting the rainfall
and accompanying computed runoff in stacked fashion for each extreme event return period.
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7. References

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Karl, T.R., Melillo, J.M., and Peterson, T.C. (eds.) (2009). "Global Climate Change Impacts in the United
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Maurer, E.P., Brekke, L, Pruitt, T, and Duffy, P.B. (2007). "Fine-resolution climate projections enhance
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Meehl, G. A., C. Covey, T. Delworth, M. Latif, B. McAvaney, J. F. B. Mitchell, R. J. Stouffer, and K. E. Taylor.
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Rawls, W.J., Brakensiel, D.L, and Miller, N. (1983). "Green-Ampt Infiltration Parameters from Soils Data",
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Rossman, L.A. (2009). "Modeling Low Impact Development Alternatives with SWMM." In Dynamic
Modeling of Urban Water Systems, Monograph 18, W James, ed., CHI, Guelph, ON, Canada.
Urban Drainage and Flood Control District (UDFCD) (2007). "Drainage Criteria Manual, Chapter 5 -
Runoff." Urban Drainage and Flood Control District, Denver, CO. 
U.S. Department of Agriculture (USDA) (1986). "Urban Hydrology for Small Watersheds, TR-55", Natural
Resources Conservation Service, USDA, Washington, DC.
U.S. Department of Agriculture (USDA) (2010). "National Engineering Handbook." Natural Resources
Conservation Service, USDA, Washington, DC.

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U.S. Environmental Protection Agency (EPA) (2010). "Storm Water Management Model User's Manual,
Version 5.0." U.S. Environmental Protection Agency, Washington, D.C., Pub No. EPA/600/R-05/040
(Revised 2010).
U.S. Environmental Protection Agency (EPA) (2012). "Climate Resilience Evaluation and Awareness
Tool Version 2 - Methodology Guide." Included with the GREAT software 
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Handbook,  LM. Mays, ed., McGraw-Hill, New York.
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