Developing a New Matrix Model to Estimate the Urban Run-Off Water Quality

Document Type: Original Research Paper


1 Department of Environmental Engineering, Kish International Campus, University of Tehran, Kish Island, Iran

2 Graduate Faculty of Environment, University of Tehran

3 Department of Civil Engineering, Faculty of Engineering, University of Bojnord, P.O.Box 94531-55111, Bojnurd, Northern Khorasan, Iran


This research aims at developing a new relation to estimate the urban runoff
water quality through urban land use. According to the first phase of this research, six
urban characteristics and land use indices have been defined concerning all parameters
with either direct or indirect impacts on urban water quality: Population, land use type,
meteorological factors, local physiographical parameters, urban patterns etc. have been
considered when developing the new indices. Three study areas, including different urban
land uses, have been selected in Tehran Metropolitan and urban drains maps and
structures have gone under study to determine the sampling points. Multi-statistical
analysis, discriminate analysis, and multi-linear regression analysis have been applied for
all water quality results and urban indices in each site, with the results revealing very
strong relations between urban land use and water quality variation. Temporary
population especially in downtown site has proved to be an effective temporal factor on
how even public transport could not have any significant effects, in case population
density has no significant influence on water quality, as all sanitary waste water in
selected sites is collected through urban wastewater systems separately. General slop is a
significant factor in hydrocarbons and heavy metals, once they are not alongside the
streets route. All told, this paper recommends reusing urban drained runoff locally before
joining other regions’ collectors. Here in urban drainage system, collection and
aggregation of water could not be an appropriate factor in water quality management
unlike river systems. The model could be employed in urban local water consumption
management in irrigation and public recovery.


American Public Health Association, American Water Works Association (1998). Water Pollution Control Federation, Standard Methods for the Examination of Water and Wastewater. Washington, D.C.: American Public Health Association.
Adams, B. J. and Papa, F. (2000). Urban Stormwater Management Planning With Analytical Probabilistic Models. John Wiley & Sons, Inc., 605 Third Avenue, New York.
Akan, A. O. and Houghtalen, R. J. (2003). Uraban Hydrulogy, Hydraulics and Storm Water Quality. John Wiley and Sons, Inc.
Alley, W. M. and Smith P. E. (1981). Estimation of Accumulation Parameters for urban Runoff Quality Modeling, Water Research, 25(4); 685-690.
Anandakumar, S., Subramani,T. and Elango, L. (2007). Spatial variation of groundwater quality and inter elemental correlation studies in lower Bhavani river basin, Tamilnadu, India. Nature Environmental and Pollution Technology. 6(2); 235-239.
Balch, G. C. and Evans, R. D. (1999). A Recirculating Flow-through System for Toxicity Testing with Stream-dwelling Aquatic Benthic Invertebrates. Aquatic Toxicology, 45(4); 241-251.
Butler, D. and Davies J. W. (2004). Urban Drainage. 2nd edition, Spon Press.
Chen, Q. (2016). Impacts of land use and population density on seasonal surface water quality using a modified geographically weighted regression. Science of the Total Environment, 572; 450–466.
Coffman, L. (2001). Bioretention / Rain Gardens: Low Impact Development Technology, Prince George's County, Maryland, presentation given January 16th.
Collins, K. A. (2010). Opportunities and challenges for managing nitrogen in urban stormwater. A review and synthesis. Ecological Engineering; 36(11);1507-19.
Sayahi, A., et al.
Demirat, A. and Yilmaz, F. (2006). Heavy metals in water, sediment and tissues of Leuciscus cephalus from a stream in southwestern Turkey. Chemosphere 63; 1451-1458.
Dierkes, C. and Geiger, W. F. (1999). Pollution retention capabilities of roadside soils. Water Science and Technology, 39 (2); 201
Ding, N., Benoit, C. and Foggia, G. (2016). Neural network-based model design for short-term load forecast in distribution systems. IEEE Trans. Power Syst, 31, (1); 72–81.
Dittmer, U., Bachmann-Machnik, A. and Launay, M. A. (2020). Impact of Combined Sewer Systems on the Quality of Urban Streams: Frequency and Duration of Elevated Micropollutant Concentrations. Water, 12(3); 850.
Fisher, S. C., Reilly, T. J., Jones, D. K., Benzel, W.M., Griffin, D.W., Loftin, K.A. and Cohl, J.A. (2015). Standard operating procedures for collection of soil and sediment samples for the Sediment-bound Contaminant Resiliency and Response (SCoRR) strategy pilot study. In Open-File Report.
Gaafar, M., Mahmoud, S. H., Gan, T. Y. and Davies, E. G. (2020). A practical GIS-based hazard assessment framework for water quality in stormwater systems. Journal of Cleaner Production, 245; 118855.
Giri, S. and Qiu, Z. (2016). Understanding the relationship of land uses and water quality in Twenty First Century : A review. Journal of Environmental Management, 173; 41–48.
Glenn, D. W. and Sansalone, J. J. (2002). Accretion of pollutants in snow exposed to urban traffic and winter storm maintenance activities. II. Journal of Environmental Engineering, 128 (2); 167-185.
Göbel, P., Dierkes,C. and Coidewey, W.G. (2007). Storm water runoff concentration matrix for urban areas. J Contaminant Hydrology, 91; 26-42.
Gries, T. H. (2007). Quality Assurance Project Plan Assessment of Sediment Toxicity Quality Assurance Project Plan Assessment of Sediment Toxicity near Post Point ( Bellingham Bay ). Washington.
Grum, M. and Hans, k. (1997). A statistical Approach to urban Runoff pollution modeling. Wat. Sci. tech., 36(5); 117-124.
Harremoës, P. (1982). Immediate and delayed oxygen depletion in rivers. Water Research, 16 (7); 1093- 1098.
Hosseiny, H., Crimmins, M., Smith, V. B. and Kremer, P. (2020). A Generalized Automated Framework for Urban Runoff Modeling and Its Application at a Citywide Landscape. Water, 12(2); 357.
Hur, S., Nam, K., Kim, J. S. and Kwak, C. (2017). Development of urban runoff model FFC-QUAL for first-flush water-quality analysis in urban drainage basins. Journal of environmental management. 205; 73-84.
Jackson, S. and Davis, W. (1994). Meeting the Goal of Biological Integrity in Water-Resource Programs in the US Environmental Protection Agency. Journal of the North American Benthological Society, 13(4); 592-597.
Kim, S. and Giannakis, G. B. (2013). Load forecasting via low rank plus sparse matrix factorization. Asilomar Conf. on Signals, Systems and Computers, Pacific Grove, CA, USA; 1682–1686
Leopold, L. B. (1968). Hydrology for urban land planning – a guidebook on the hydrologic effects of urban land use. Washington DC: US Geological Survey; 554-555
Liu, D., Sansalone, J. and Cartledge, F. K. (2005). Overall rate kinetics for adsorption of rainfall-runoff heavy metals by composite oxide-coated polymeric media. Journal of Environmental Engineering, 131; 1168-1175.
Martin, E. H. (1988). Effectiveness of an urban runoff detention pond-wetlands system. Journal of Environmental Engineering, 114(4); 810-827.
Rauch, W. and Harremoës, P. (1998). Correlation of combined sewer overflow reduction due to real-time control and resulting effect on the oxygen concentration in the river. Water Science and Technology, 37 (12); 69-76.
Razeghi, K. B. (1999). Effects of the transfer of surface water from the East to the West Tehran on groundwater quality. MSc thesis. Faculty of Medical Sciences. TMU.
Regier, P. J., Gonzalez, P. R., Van Horn, D.J., Reale, J.K., Nichols, J. and Khandewal, A. (2020). Water quality impacts of runoff from monsoon storms on arid-land rivers: Comparing urban and non-urban pulses in the Rio Grande. Science of the total environment, 725; 115-1127
Reinosdotter K. (2003). Local or Central Snow Deposits? Licentiate Thesis. Department of Environmental Engineering, Lulea University of Technology, Lulea, Sweden.
Reinosdotter, K., Viklander, M. and Malmquist, P. A. (2005). PAH and metals in snow along a highway. 10th International Conference on Urban Drainage, 21-26 August 2005, Copenhagen, Denmark
Pollution, 7(1): 1-15, Winter 2021
Pollution is licensed under a "Creative Commons Attribution 4.0 International (CC-BY 4.0)"
Rice, L. (1971). Reduction of urban runoff peak flows. J Irrigation and Drainage Division, 97, (IR3); 469-482.
Saher, R., Rind, M. A., Stephen, H., Ahmad, S., and Rind, U. A. (2020). Analysis of the Effects of Retrofitting Low Impact Developments on Urban Runoff and Pollutant Load. Proceeding of World Environmental and Water Resources Congress 2020; Water, Wastewater, and Storm Water and Water Desalination and Reuse (178-190). American Society of Civil Engineers (ASCE).
Shi, P. (2017). Influence of land use and land cover patterns on seasonal water quality at multi-spatial scales. Catena, 151;182–190.
USEPA, (1995). QA/QC Guidance for Sampling and Analysis of Sediments, Water, and Tissues for Dredged Material Evaluations Chemical Evaluations. EPA 823-B-95-001.
USEPA, (2007).Standard Operating Procedures for Water Quality Sampling. Revision 5.4. Cincinnati, OH
Viklander, M. (1998). Snow quality in the city of Lulea, Sweden -- time-variation of lead, zinc, copper and phosphorus. The Science of the Total Environment, 216 (1-2); 103-112.
Walesh, P. and Wheeler, W. (1989).Water quality index aggregation and cost benefit analysis. US Environmental Protection Agency, National Center for Environmental Economics, Washington DC, 20460; 1-23
Wang, J., Da, L., Song, K. and Li, B. L. (2008). Temporal variations of surface water quality in urban, suburban and rural areas during rapid urbanization in Shanghai, China. Environmental Pollution, 152(2); 387-393.
Westerlund, C., Viklander, M. and Bäckström, M. (2003). Seasonal variations in road runoff quality in Luleå, Sweden. Water Science and Technology, 48 (9); 93-101.
Westerlund, C. and Viklander, M. (2006). Particles and associated metals in road runoff during snowmelt and rainfall. The Science of the Total Environment, 362 (1-3); 143-156.
Wilson, B. and Chakraborty, A. (2013). The Environmental Impacts of Sprawl: Emergent Themes from the Past Decade of Planning Research. Sustainability. 5; 3302-3327.
Yu, H. F., Rao, N. and Dhillon, I. S. (2016).Temporal regularized matrix factorization for high-dimensional time series prediction. Advances in neural information processing systems, 25; 847–855.