Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2014, Special Issue (2013), Article ID 586872, 12 pages.

A Physically Based Runoff Model Analysis of the Querétaro River Basin

Carlos Javier Villa Alvarado, Eladio Delgadillo-Ruiz, Carlos Alberto Mastachi-Loza, Enrique González-Sosa, and Ramos Salinas Norma Maricela

Full-text: Open access


Today the knowledge of physical parameters of a basin is essential to know adequately the rainfall-runoff process; it is well known that the specific characteristics of each basin such as temperature, geographical location, and elevation above sea level affect the maximum discharge and the basin time response. In this paper a physically based model has been applied, to analyze water balance by evaluating the volume rainfall-runoff using SHETRAN and hydrometric data measurements in 2003. The results have been compared with five ETp different methodologies in the Querétaro river basin in central Mexico. With these results the main effort of the authorities should be directed to better control of land-use changes and to working permanently in the analysis of the related parameters, which will have a similar behavior to changes currently being introduced and presented in observed values in this basin. This methodology can be a strong base for sustainable water management in a basin, the prognosis and effect of land-use changes, and availability of water and also can be used to determine application of known basin parameters, basically depending on land-use, land-use changes, and climatological database to determine the water balance in a basin.

Article information

J. Appl. Math., Volume 2014, Special Issue (2013), Article ID 586872, 12 pages.

First available in Project Euclid: 1 October 2014

Permanent link to this document

Digital Object Identifier


Villa Alvarado, Carlos Javier; Delgadillo-Ruiz, Eladio; Mastachi-Loza, Carlos Alberto; González-Sosa, Enrique; Norma Maricela, Ramos Salinas. A Physically Based Runoff Model Analysis of the Querétaro River Basin. J. Appl. Math. 2014, Special Issue (2013), Article ID 586872, 12 pages. doi:10.1155/2014/586872.

Export citation


  • F. A. Deviney Jr, D. E. Brown, and K. C. Rice, “Evaluation of bayesian estimation of a hidden continuous-time Markov chain model with application to threshold violation in water-quality indicators,” Journal of Environmental Informatics, vol. 19, no. 2, pp. 70–78, 2012.
  • A. Amini, T. M. Ali, A. H. B. Ghazali, A. A. Aziz, and S. M. Akib, “Impacts of land-use change on streamflows in the damansara watershed, Malaysia,” Arabian Journal for Science and Engineering, vol. 36, no. 5, pp. 713–720, 2011.
  • Y. Mitsuda and S. Ito, “A review of spatial-explicit factors determining spatial distribution of land use/land-use change,” Landscape and Ecological Engineering, vol. 7, no. 1, pp. 117–125, 2011.
  • Y. P. Lin, N. M. Hong, P. J. Wu, and C. J. Lin, “Modeling and assessing land-use and hydrological processes to future land-use and climate change scenarios in watershed land-use planning,” Environmental Geology, vol. 53, no. 3, pp. 623–634, 2007.
  • L. Y. Su, P. Christensen, and J. L. Liu, “Comparative study of water resource management and policies for ecosystems in China and Denmark,” Journal of Environmental Informatics, vol. 21, no. 1, pp. 72–83, 2013.
  • M. E. Mendoza, G. Bocco, E. López-Granados, and M. Bravo Espinoza, “Hydrological implications of land use and land cover change: spatial analytical approach at regional scale in the closed basin of the Cuitzeo Lake, Michoacan, Mexico,” Singapore Journal of Tropical Geography, vol. 31, no. 2, pp. 197–214, 2010.
  • Y. P. Li and G. H. Huang, “A recourse-based nonlinear programming model for stream water quality management,” Stochastic Environmental Research and Risk Assessment, vol. 26, no. 2, pp. 207–223, 2012.
  • J. Ewen, SHETRAN User Manual for Version 5, WRSRL_2001_1, Water Resource Systems Research Laboratory, School of Civil Engineering and Geosciences, University of Newcastle, Newcastle upon Tyne, UK, 2001.
  • S. J. Birkinshaw and J. C. Bathurst, “Model study of the relationship between sediment yield and river basin area,” Earth Surface Processes and Landforms, vol. 31, no. 6, pp. 750–761, 2006.
  • A. Guevara-Escobar, W. R. N. Edwards, R. H. Morton, P. D. Kemp, and A. D. Mackay, “Tree water use and rainfall partitioning in a mature poplar-pasture system,” Tree Physiology, vol. 20, no. 2, pp. 97–106, 2000.
  • C. Mastachi-Loza, E. González-Sosa, R. Becerril-Piña, and I. Braud, “Interception loss by mesquite (Prosopis laevigata) and huisache (Acacia farnesiana) in the semiarid region of central Mexico,” Technology and Water Sciences, vol. 1, no. 1, pp. 89–106, 2010.
  • A. Guevara-Escobar, E. González-Sosa, C. Véliz-Chávez, E. Ventura-Ramos, and M. Ramos-Salinas, “Rainfall interception and distribution patterns of gross precipitation around an isolated Ficus benjamina tree in an urban area,” Journal of Hydrology, vol. 333, no. 2–4, pp. 532–541, 2007.
  • S. S. Nayak and M. M. Mandal, “Impact of land-use and land-cover changes on temperature trends over Western India,” Current Science, vol. 102, no. 8, pp. 1166–1173, 2012.
  • R. Mahmood, R. Pielke, K. Hubbard et al., “Impacts of land use/land cover change on climate and future research priorities,” Bulletin of the American Meteorological Society, vol. 91, no. 1, pp. 37–46, 2010.
  • S. J. Birkinshaw, P. James, and J. Ewen, “Graphical user interface for rapid set-up of SHETRAN physically-based river catchment model,” Environmental Modelling and Software, vol. 25, no. 4, pp. 609–610, 2010.
  • Diario Oficial de la Federación de México, “Secretaria de Medio Ambiente y Recursos Naturales,” Norma Oficial Mexicana NOM-011-CNA-2000, 2002, CONAGUA07/Contenido/Documentos/N11.pdf.
  • P. A. Burrough, Principles of Geographical Information Systems for Land Resources Assessment, Monographs on Soil and Resources Survey, no. 12, Oxford University Press, 1986.
  • B. De Foy, L. T. Molina, and M. J. Molina, “Satellite-derived land surface parameters for mesoscale modelling of the Mexico City basin,” Atmospheric Chemistry and Physics, vol. 6, no. 5, pp. 1315–1330, 2006.
  • D. E. Carlyle-Moses, “Throughfall, stemflow, and canopy interception loss fluxes in a semi-arid Sierra Madre Oriental matorral community,” Journal of Arid Environments, vol. 58, no. 2, pp. 181–202, 2004.
  • B. Blocken and J. Carmeliet, “A review of wind-driven rain research in building science,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 92, no. 13, pp. 1079–1130, 2004.
  • A. W. L. Veen, W. Klaassen, B. Kruijt, and R. W. A. Hutjes, “Forest edges and the soil-vegetation-atmosphere interaction at the landscape scale: the state of affairs,” Progress in Physical Geography, vol. 20, no. 3, pp. 292–310, 1996.
  • G. D. Russell, C. P. Hawkins, and M. P. O'Neill, “The role of GIS in selecting sites for riparian restoration based on hydrology and land use,” Restoration Ecology, vol. 5, no. 4, pp. 56–68, 1997.
  • N. A. Jackson, “Measured and modelled rainfall interception loss from an agroforestry system in Kenya,” Agricultural and Forest Meteorology, vol. 100, no. 4, pp. 323–336, 2000.
  • Q. Xiao, E. McPherson, L. Ustin, M. Grismer, and J. Simpson, “Winter rainfall interception by two mature open-grown trees in Davis, California,” Hydrological Processes, vol. 14, no. 4, pp. 763–784, 2000.
  • T. S. David, J. H. C. Gash, F. Valente, J. S. Pereira, M. I. Ferreira, and J. S. David, “Rainfall interception by an isolated evergreen oak tree in a Mediterranean savannah,” Hydrological Processes, vol. 20, no. 13, pp. 2713–2726, 2006.
  • W. Klaassen, H. J. M. Lankreijer, and A. W. L. Veen, “Rainfall interception near a forest edge,” Journal of Hydrology, vol. 185, no. 1–4, pp. 349–361, 1996.
  • Z. Xiefei, Y. Hao, Z. Ling, C. Wen, and W. Yong, “International meteorological and hydrological training and its evaluation at WMO RTC Nanjing,” Procedia Environmental Sciences, vol. 12, pp. 1122–1128, 2012.
  • D. Tongway and N. Hindley, “Assessing and monitoring desertification with soil indicators,” in Rangeland Desertification, S. Archer and O. Arnalds, Eds., Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000.
  • K. G. McNaughton and P. G. Jarvis, “Using the Penman-Monteith equation predictively,” Agricultural Water Management, vol. 8, no. 1–3, pp. 263–278, 1984.
  • C. W. Thornthwaite, “An approach toward a rational classification of climate,” Geographical Review, vol. 38, pp. 55–94, 1948.
  • J. Papadakys, Climatic Tables for the World, Selbstverl. d. Verf., Buenos Aires, Argentina, 1961.
  • G. H. Hargreaves and Z. A. Samani, Reference Crop Evapotranspiration from Ambient Air Temperature, American Society of Agricultural Engineers, 1985.
  • H. F. Blaney and W. D. Criddle, Determining Water Requirements in Irrigated Areas from Climatological and Irrigation Data, Department of Agriculture, Soil Conservation Service, 1950.
  • J. H. C. Gash, “An analytical model of rainfall interception by forests,” Quarterly Journal of the Royal Meteorological Society, vol. 105, pp. 43–45, 1979.
  • A. J. Rutter, K. A. Kershaw, P. C. Robins, and A. J. Morton, “A predictive model of rainfall interception in forests. 1: derivation of the model from observations in a plantation of Corsican pine,” Agricultural Meteorology, vol. 9, pp. 367–384, 1971.
  • A. J. Rutter and A. J. Morton, “A predictive model of rainfall interception in forest. Sensitivity of the model to stand and parameters and meteorological variables,” Journal of Applied Ecology, vol. 14, no. 2, pp. 567–588, 1977.
  • J. Ewen, G. Parkin, and P. E. O'Connell, “SHETRAN: distributed river basin flow and transport modeling system,” Journal of Hydrologic Engineering, vol. 5, no. 3, pp. 250–258, 2000.
  • B. T. Lukey, J. C. Bathurst, R. A. Hiley, and J. Ewen, “System design: Sediment erosion and transport,” SHETRAN V3.4 manual, Appendix B.2, 1995.
  • S. J. Birkinshaw and J. Ewen, “Modelling nitrate transport in the Slapton Wood catchment using SHETRAN,” Journal of Hydrology, vol. 230, no. 1-2, pp. 18–33, 2000. \endinput