Technical Papers
Aug 6, 2012

Regionalization of Drought Characteristics Using an Entropy Approach

Publication: Journal of Hydrologic Engineering
Volume 18, Issue 7

Abstract

Assessment and understanding of past climate is an important step for drought mitigation and water resources planning. In this study, streamflow simulated using the variable infiltration capacity (VIC) model was used for drought characterization for a time span of 1950–2000, and subsequently, regionalization was done for the state of Texas based on the annual drought severity level and drought duration. Droughts are regional in nature, and hence, identification of homogenous drought regions is important for investigating the drought characteristics within each of these regions. The concept of entropy was used for identification of homogenous regions based on drought severity and duration. A standardized version of mutual information, known as directional information transfer, was used for station grouping. The homogeneity of regions obtained was checked using L-moments. A total of eight regions were formed based on drought severity, and nine based on drought duration. Regions in west Texas were found to be critical in terms of severity, whereas east Texas showed the least severity. The longest drought duration was experienced in south Texas and lower valley zones, whereas the least drought duration was experienced in east Texas and the upper coast. Severely dry and extremely dry droughts were found to be restricted to the western and central parts of Texas.

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Acknowledgments

This work has been supported by the USGS project grant 2009TX334G.

References

Abdulla, F. A., Lettenmaier, D. P., Wood, E. F., and Smith, J. A. (1996). “Application of a macroscale hydrologic model to estimate the water balance of the Arkansas-Red river basin.” J. Geophys. Res., 101(D3), 7449–7459.
Abramowitz, M., and Stegun, I. A. (1964). “Handbook of mathematical functions.” Chapter 26, Applied mathematics series, National Bureau of Standards, New York, NY, 931–933.
Acreman, M. C., and Wiltshire, S. E. (1989). “The regions are dead: Long live the regions.” Chapter 2, FRIENDS in hydrology, No. 187, L. Roald, K. Nordseth, and S. K. A. Hassel, eds., IAHS, Bolkesjo, Norway, 175–188.
Alfonso, L., Lobbrecht, A., and Price, R. (2010). “Optimization of water level monitoring network in polder systems using information theory.” Water Resour. Res., 46(12), W12553.
Andreadis, K., and Lettenmaier, D. P. (2006). “Trends in 20th century drought over the continental United States.” Geophys. Res. Lett., 33(10), L10403.
Andreadis, K., Wood, C. E., Wood, A., Hamlet, A., and Lettenmaier, D. (2005). “Twentieth century drought in conterminous United States.” J. Hydro. Meteor., 6(6), 985–1001.
Benke, A. C., and Cushing, C. E., eds. (2005). Rivers of North America, Elsevier Academic, Burlington, MA.
Bhaskar, N. R., and O’Connor, C. A. (1989). “Comparison of method of residuals and cluster analysis for flood regionalization.” J. Water Resour. Plann. Manage., 115(5), 567–582.
Bobee, B., and Rasmussen, P. (1995). “Recent advances in flood frequency analysis.” Rev. Geophys., 33(S2), 1111–1116.
Bowling, L. C., Lettenmaier, D. P., Njissen, B., Polcher, J., Koster, R. D., and Lohmann, D. (2003a). “Simulation of high latitude hydrological processes in the Torne-Kalix basin: PILPS Phase 2(e) 3: Equivalent model representation and sensitivity experiments.” Global Planet. Change, 38(1–2), 55–71.
Bowling, L. C., et al. (2003b). “Simulation of high-latitude hydrological processes in the Torne-Kalix basin: PILPS Phase 2(e) 1: Experiment description and summary intercomparisons.” Global Planet. Change, 38(1–2), 1–30.
Bureau of Economic Geology. (1996). “River basin map of Texas.” Univ. of Texas, Austin, TX.
Burn, D. H., and Goel, N. K. (2000). “The formation of groups for regional flood frequency analysis.” Hydrol. Sci. J., 45(1), 97–112.
Burn, D. H., Zrinji, Z., and Kowalchuk, M. (1997). “Regionalization of catchments for regional flood frequency analysis.” J. Hydrol. Eng., 2(2), 76–82.
Byzedi, M., and Saghafian, B. (2009). “Regional analysis of streamflow drought: A case study for Southwestern Iran.” W. Acad. Sci., 57(33), 447–451.
Chokmani, K., and Ouarda, T. B. M. J. (2004). “Physiographical space based kriging for regional flood frequency estimation at ungauged sites.” Water Resour. Res., 40(12), W12514.
Choquette, A. F. (1988). “Regionalization of peak discharges for streams in Kentucky.”, USGS, Louisville District, Louisville, KY.
Clausen, B., and Pearson, C. P. (1995). “Regional frequency analysis of annual maximum streamflow drought.” J. Hydrol., 173(1–4), 111–130.
Coombs, C. H., Dawes, R. M., and Tversky, A. (1970). Mathematical psychology: An elementary introduction, Prentice-Hall, Oxford, England.
Cosby, B. J., Hornberger, G. M., Clapp, R. B., and Ginn, T. R. (1984). “A statistical exploration of the relationships of soil moisture characteristics to the physical properties of soils.” Water Resour. Res., 20(6), 682–690.
Cover, T. M., and Thomas, J. A. (1991). Elements of information theory, Wiley, New York.
Dickey, D. A., and Fuller, W. A. (1979). “Distribution of the estimators for autoregressive time series with a unit root.” J. Am. Stat. Assoc., 74(366), 423–431.
Dunn, R. S. (2011). “Droughts.” Handbook of Texas 〈http://www.tshaonline.org/handbook/online/articles/ybd01〉.
Fass, D. M. (2006). “Human sensitivity to mutual information.” Ph.D. dissertation, Rutgers State Univ., New Brunswick, NJ.
Guerrero-Salazar, P., and Yevjevich, V. (1975) “Analysis of drought characteristics by the theory of runs.”, Colorado State Univ., Fort Collins, CO.
Hansen, M. C., DeFries, R. S., and Townshend, J. R. G., and Sohlberg, R. (2000). “Global land cover classification at 1 km spatial resolution using a classification tree approach.” Int. J. Remote Sens., 21(6–7), 1331–1364.
Hisdal, H., and Tallaksen, L. M. (2003). “Estimation of regional meteorological and hydrological drought characteristics: A case study for Denmark.” J. Hydrol., 281(3), 230–247.
Hosking, J. R. M., and Wallis, J. R. (1993). “Some statistics useful in regional frequency analysis.” Water Resour. Res., 29(2), 271–281.
Hosking, J. R. M., and Wallis, J. R. (1997). “Regional frequency analysis: An approach based on L-moments.” Cambridge University Press, New York.
Isik, S., and Singh, V. P. (2008). “Hydrologic regionalisation of watersheds in Turkey.” J. Hydrol. Eng., 13(9), 824–834.
Jingyi, Z., and Hall, M. J. (2004). “Regional flood frequency analysis for the Gan-Ming River basin in China.” J. Hydrol., 296(1–4), 98–117.
Kraskov, A., and Grassberger, P. (2009). “MIC: Mutual information based hierarchical clustering.” Chapter 5, Information theory and statistical learning, F. E., Streib, and M., Dehmer, eds., Springer, New York, 101–123.
Kraskov, A., Stogbauer, H., Andrzejak, R. G., and Grassberger, P. (2005). “Hierarchical clustering using mutual information.” Europhys. Lett., 70(2), 278–284.
Kroll, C. N., and Vogel, R. M. (2002). “Probability distribution of low streamflow series in the United States.” J. Hydrol., 7(2), 137–146.
Kwiatkowski, D., Phillips, P. C. B., Schmidt, P., and Shin, Y. (1992). “Testing the null of stationarity against the alternative of a unit root: How sure are we that economic time series have a unit root?” J. Econometrics, 54(1–3), 159–178.
Lathi, B. P. (1968). An introduction to random signals and information theory, International Textbook Company, Scranton, PA.
Liang, X., Lettenmaier, D. P., and Wood, E. F. (1996). “One-dimensional statistical dynamic representation of subgrid spatial variability of precipitation in the two-layer variable infiltration capacity model.” J. Geophys. Res., 101(D16), 403–422.
Liang, X., Lettenmaier, D. P., Wood, E. F., and Burges, S. J. (1994). “A simple hydrologically based model of land surface water and energy fluxes for GSMs.” J. Geophys. Res., 99(D7), 14415–14428.
Lohmann, D., Nolte-Holube, R., and Raschke, E. (1996). “A large-scale horizontal routing model to be coupled to land surface parametrization schemes.” Tellus Ser. A: Dyn. Met. Oceanogr., 48(5), 708–721.
Lohmann, D., Raschke, E., Nijssen, B., and Lettenmaier, D. P. (1998). “Regional scale hydrology: I. Formulation of the VIC-2L model coupled to a routing model.” Hydrol. Sci. J., 43(1), 131–141.
Maurer, E. P., Nijssen, B., and Lettenmaier, D. P. (2000). “Use of reanalysis land surface water budget variables in hydrologic studies.” GEWEX News, 10(4), 6–8.
Maurer, E. P., Wood, A. W., Adam, J. C., Lettenmaier, D. P., and Nijssen, B. (2002). “A long-term hydrologically-based data set of land surface fluxes and states for the conterminous United States.” J. Clim., 15(22), 3237–3251.
McKee, T. B., Doesken, N. J., and Kleist, J. (1993). “The relationship of drought frequency and duration to time scales.” Proc., 8th Conf. App. Clim., American Meterological Society, Boston, MA, 179–184.
McMahon, T. A., Pegram, G. G. S., and Vogel, R. M. (2007). “Revisiting reservoir storage yield relationships using a global streamflow database.” Adv. Water Resour., 30(8), 1858–1872.
Millan, J., and Yevjevich, V. (1971). “Probabilities of observed droughts.”, Colorado State Univ., Fort Collins, CO.
Miller, D. A., and White, R. A. (1998). “A conterminous United States multilayer soil characteristics dataset for regional climate and hydrology modeling.” Earth Interact., 2(2), 1–26.
Milly, P. C. D., et al. (2008). “Climate change: Stationarity is dead: Whither water management?” Science, 319(5863), 573–574.
Mirakbari, M., Ganji, A., and Fallah, S. R. (2010). “Regional bivariate frequency analysis of meteorological drought.” J. Hydrol., 15(12), 985–1000.
Mishra, A. K., and Singh, V. P. (2009). “Analysis of drought severity-area-frequency curves using a general circulation model and scenario uncertainty.” J. Geophys. Res., 114(D6), D06120.
Mishra, A. K., and Singh, V. P. (2010). “A review of drought concepts.” J. Hydrol., 391(1–2), 202–216.
Mitchell, K., et al. (1999). “GCIP land data assimilation system (LDAS) project now underway.” GEWEX News, 9(4), 3–6.
Modarres, R. (2007). “Streamflow drought time series forecasting.” Stoch. Environ. Res. Risk Assess., 21(3), 223–233.
Myneni, R. B., Nemani, R. R., and Running, S. W. (1997). “Estimation of global leaf area index and absorbed PAR using radiative transfer models.” IEEE Trans. Geosci. Remote Sens., 35(6), 1380–1393.
Nalbantis, L., and Tsakiris, G. (2009). “Assessment of hydrologic drought revisited.” Water Res. Manage., 23(5), 881–897.
Nathan, R. J., and McMahon, T. A. (1990). “Identification of homogeneous regions for the purposes of regionalization.” J. Hydrol., 121(1–4), 217–238.
Nijssen, B. N., Lettenmaier, D. P., Liang, X., Wetzel, S. W., and Wood, E. F. (1997). “Streamflow simulation for continental-scale river basins.” Water Resour. Res., 33(4), 711–724.
Nijssen, B. N., O’Donnell, G. M., Lettenmaier, D. P., and Wood, E. F. (2001). “Predicting the discharge of global rivers.” J. Clim., 14(15), 3307–3323.
Priness, I., Maimon, O., and Ben-Gal, I. (2007). “Evaluation of gene-expression clustering via mutual information distance measure.” BioInformatics, 8(111), 1–12.
Rao, A. R., and Srinivas, V. V. (2006a). “Regionalization of watersheds by fuzzy cluster analysis.” J. Hydrol., 318(1–4), 57–59.
Rao, A. R., and Srinivas, V. V. (2006b). “Regionalization of watersheds by hybrid cluster analysis.” J. Hydrol., 318(1–4), 37–56.
Rawls, W. J., Ahuja, L. R., Brakensiek, D. L., and Shirmohammadi, A. (1993). “Infiltration and soil water movement.” Handbook of hydrology, D. Maidment, ed., McGraw-Hill, New York, 5.1–5.51.
Reynolds, C. A., Jackson, T. J., and Rawls, W. J. (2000). “Estimating soil water-holding capacities by linking the Food and Agriculture Organization soil map of the world with global pedon databases and continuous pedotransfer functions.” Water Resour. Res., 36(12), 3653–3662.
Rodriguez-Iturbe, I. (1969). “Applications of theory of runs to hydrology.” Water Resour. Res. Lett., 5(6), 1422–1426.
Salathe, E. P. (2003). “Comparison of various precipitation downscaling methods for the simulation of stream flow in a rain shadow river basin.” Int. J. Clim., 23(8), 887–901.
Saldarriaga, J., and Yevjevich, V. (1970). “Application of run-lengths to hydrologic series.”, Colorado State Univ., Fort Collins, CO.
Satyanarayana, P., and Srinivas, V. V. (2011). “Regionalization of precipitation in data sparse areas using large scale atmospheric variables—A fuzzy clustering approach.” J. Hydrol., 405(3–4), 462–473.
Sen, Z. (1976). “Wet and dry periods of annual flow series.” J. Hydraul. Div., 102(HY10), 1503–1514.
Sen, Z. (1977). “Run-sums of annual flow series.” J. Hydrol., 35(3–4), 311–324.
Sen, Z. (1980). “Regional drought and flood frequency analysis, theoretical consideration.” J. Hydrol., 46(3), 251–263.
Shannon, C. E. (1948). “A mathematical theory of communication.” Bell Syst. Tech. J., 27(3), 379–423.
Sheffield, J., Goteti, G., Wen, F., and Wood, E. F. (2004). “A simulated soil moisture based drought analysis for the United States.” J. Geophys. Res., 109(D24), D24108.
Sheffield, J., and Wood, E. F. (2008). “Global trends and variability in soil moisture and drought characteristics, 1950–2000, from observation-driven simulations of the terrestrial hydrologic cycle.” J. Clim., 21(3), 432–458.
Shukla, S., and Wood, A. W. (2008). “Use of a standardized runoff index for characterizing hydrologic drought.” Geophys. Res. Lett., 35(2), L02405.
Singh, K. K., and Singh, S. V. (1996). “Space time variation of regionalization or seasonal and monthly summer monsoon rainfall of the sub-Himalayan region and Gangetic plains of India.” Clim. Res., 6(3), 251–262.
Srinivas, V. V., Tripathi, S., Rao, A. R., and Govindaraju, R. S. (2008). “Regional flood frequency analysis by combining self-organizing feature map and fuzzy clustering.” J. Hydrol. (Amsterdam), 348, 148–166.
Sturges, H. (1926). “The choice of a class-interval.” J. Am. Stat. Assoc., 21(153), 65–66.
Wilhite, D. A., ed. (2000). “Drought as a natural hazard: Concepts and definitions.” Chapter 1, Drought: A global assessment, hazards disasters series, Vol. 1, Routledge, New York, 3–18.
Wilhite, D. A., and Glantz, M. H. (1985). “Understanding the drought phenomenon: The role of definitions.” Water Int., 10(3), 111–120.
Yang, Y., and Burn, D. H. (1994). “An entropy approach to data collection network design.” J. Hydrol., 157(1), 307–324.
Yevjevich, V., Siddiqui, M. M., and Downer, R. N. (1967). “Application of runs to hydrologic droughts.” Proc., Int. Hydrology Symp., Vol. 1, Paper 63, Fort Collins, CO, 496–505.
Zaidman, M. D., Ress, H. G., and Young, A. R. (2001). “Spatio-temporal development of streamflow droughts in north-west Europe.” Hydrol. Earth Syst. Sci., 6(4), 733–751.
Zrinji, Z., and Burn, D. H. (1994). “Flood frequency analysis or ungauged sites using a region of influence approach.” J. Hydrol., 153(1–4), 1–21.
Zrinji, Z., and Burn, D. H. (1996). “Regional flood frequency with hierarchical region of influence.” J. Water Resour. Plann. Manage., 122(4), 245–252.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 18Issue 7July 2013
Pages: 870 - 887

History

Received: Oct 12, 2011
Accepted: Jul 5, 2012
Published online: Aug 6, 2012
Published in print: Jul 1, 2013

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Deepthi Rajsekhar [email protected]
Graduate Student, Biological and Agricultural Engineering (BAEN) Dept., Texas A&M Univ., College Station, TX 77840 (corresponding author). E-mail: [email protected]
Ashok K. Mishra
Assistant Research Scientist, BAEN Dept., Texas A&M Univ., College Station, TX 77840.
Vijay P. Singh
F.ASCE
Caroline and William N. Lehrer Distinguished Chair in Water Engineering and Professor, Civil and Environmental Engineering Dept. and BAEN Dept., Texas A&M Univ., College Station, TX 77840.

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