Regression models for estimating urban storm-runoff quality and quantity in the United States

Abstract Urban planners and managers need information about the local quantity of precipitation and The quality and quantity of storm runoff if they are to plan adequately for the effects of storm runoff from urban areas. As result of this need, linear regression models were developed for the estimation of storm-runoff loads and volumes from physical, land-use, and climatic characteristics of urban watersheds throughout the United States. Three statistically different regions were delineated, based on mean annual rainfall, to improve linear regression models. One use of these models is to estimate storm-runoff loads and volumes ar gaged and ungaged urban watersheds. The most significant explanatory variables in all linear regression models were total storm rainfall and total contributing drainage area. Impervious area, land-use, and mean annual climatic characteristics were also significant explanatory variables in some linear regression models. Models for dissolved solids, total nitrogen, and total ammonia plus organic nitrogen as nitrogen were the most accurate models for most areas, whereas models for suspended solids were the least accurate. The most accurate models were those for the more arid western United States, and the least accurate were those for areas that had large quantities of mean annual rainfall.

[1]  US Geological Survey urban-stormwater data base of constituent storm loads; characteristics of rainfall, runoff, and antecedent conditions; and basin characteristics , 1987 .

[2]  Don M. Miller,et al.  Reducing Transformation Bias in Curve Fitting , 1984 .

[3]  N. Duan Smearing Estimate: A Nonparametric Retransformation Method , 1983 .

[4]  S. Yakowitz,et al.  PARAMETRIC/NONPARAMETRIC MIXTURE DENSITY ESTIMATION WITH APPLICATION TO FLOOD‐FREQUENCY ANALYSIS1 , 1985 .

[5]  W. O. Thomas,et al.  Flood Characteristics of Urban Watersheds in the United States , 1983 .

[6]  William E. Sharpe,et al.  CONTRIBUTION OF PRECIPITATION TO QUALITY OF URBAN STORM RUNOFF , 1984 .

[7]  N. Driver U.S. Geological Survey urban-stormwater data base for 22 metropolitan areas throughout the United States , 1985 .

[8]  Norman R. Draper,et al.  Applied regression analysis (2. ed.) , 1981, Wiley series in probability and mathematical statistics.

[9]  R. Ferguson River Loads Underestimated by Rating Curves , 1986 .

[10]  Roy W. Koch,et al.  Bias in Hydrologic Prediction Using Log-Transformed Regression Models , 1986 .

[11]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[12]  A rainfall-runoff modeling procedure for improving estimates of T-year (annual) floods for small drainage basins , 1978 .

[13]  Gary D. Tasker,et al.  Nationwide regression models for predicting urban runoff water quality at unmonitored sites , 1988 .

[14]  J. B. Ellis,et al.  Hydrological controls of pollutant removal from highway surfaces , 1986 .

[15]  Fred G. Evenden,et al.  Climates of the States , 1979 .

[16]  B. Troutman Errors and Parameter Estimation in Precipitation‐Runoff Modeling: 1. Theory , 1985 .

[17]  Peter R. Waylen,et al.  Regionalization and Prediction of Floods in the Fraser River Catchment, B.C. , 1984 .