Simulating Hydrological Drought Properties at Different Spatial Units in the United States Based on Wavelet–Bayesian Regression Approach

Ashok K. Mishra

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Vijay P. Singh Department of Biological and Agricultural Engineering, and Department of Civil Engineering, Texas A&M University, College Station, Texas

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Abstract

Because of their stochastic nature, droughts vary in space and time, and therefore quantifying droughts at different time units is important for water resources planning. The authors investigated the relationship between meteorological variables and hydrological drought properties using the Palmer hydrological drought index (PHDI). Twenty different spatial units were chosen from the unit of a climatic division to a regional unit across the United States. The relationship between meteorological variables and PHDI was investigated using a wavelet–Bayesian regression model, which enhances the modeling strength of a simple Bayesian regression model. Further, the wavelet–Bayesian regression model was tested for the predictability of global climate models (GCMs) to simulate PHDI, which will also help understand their role for downscaling purposes.

Current affiliation: Pacific Northwest National Laboratory, Richland, Washington.

Corresponding author address: Ashok K. Mishra, Pacific Northwest National Laboratory, P.O. Box 999, Richland, WA 99352. E-mail address: ashok.mishra@pnnl.gov

Abstract

Because of their stochastic nature, droughts vary in space and time, and therefore quantifying droughts at different time units is important for water resources planning. The authors investigated the relationship between meteorological variables and hydrological drought properties using the Palmer hydrological drought index (PHDI). Twenty different spatial units were chosen from the unit of a climatic division to a regional unit across the United States. The relationship between meteorological variables and PHDI was investigated using a wavelet–Bayesian regression model, which enhances the modeling strength of a simple Bayesian regression model. Further, the wavelet–Bayesian regression model was tested for the predictability of global climate models (GCMs) to simulate PHDI, which will also help understand their role for downscaling purposes.

Current affiliation: Pacific Northwest National Laboratory, Richland, Washington.

Corresponding author address: Ashok K. Mishra, Pacific Northwest National Laboratory, P.O. Box 999, Richland, WA 99352. E-mail address: ashok.mishra@pnnl.gov
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  • Farge, M., 1992: Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Dyn., 24, 395457.

  • Grinsted, A., J. C. Moore, and S. Jevrejeva, 2004: Application of the cross wavelet transform and wavelet coherence to geophysical time series. Nonlinear Processes Geophys., 11, 561566.

    • Search Google Scholar
    • Export Citation
  • Han, P., P. X. Wang, S. Y. Zhang, and D. H. Zhu, 2010: Drought forecasting based on the remote sensing data using ARIMA models. Math. Comput. Modell., 51 (11–12), 13981403.

    • Search Google Scholar
    • Export Citation
  • Hoff, P., 2009: A First Course in Bayesian Statistical Methods. Springer Verlag, 270 pp.

  • Karl, T. R., and W. J. Koss, 1984: Regional and national monthly, seasonal, and annual temperature weighted by area, 1895-1983. National Climatic Data Center Historical Climatology Series 4-3, 38 pp.

  • Karl, T. R., C. N. Williams Jr., P. J. Young, and W. M. Wendland, 1986: A model to estimate the time of observation bias associated with monthly mean maximum, minimum and mean temperatures for the Unites States. J. Climate Appl. Meteor., 25, 145160.

    • Search Google Scholar
    • Export Citation
  • Karl, T. R., F. Quinlan, and D. S. Ezell, 1987: Drought termination and amelioration: Its climatological probability. J. Climate Appl. Meteor., 26, 11981209.

    • Search Google Scholar
    • Export Citation
  • Kim, T., and J. B. Valdes, 2003: Nonlinear model for drought forecasting based on a conjunction of wavelet transforms and neural networks. J. Hydrol. Eng., 8, 319328.

    • Search Google Scholar
    • Export Citation
  • Kumar, V., and U. Panu, 1997: Predictive assessment of severity of agricultural droughts based on agro-climatic factors. J. Amer. Water Resour. Assoc., 33, 12551264.

    • Search Google Scholar
    • Export Citation
  • Maurer, E. P., 2007: Uncertainty in hydrologic impacts of climate change in the Sierra Nevada, California, under two emissions scenarios. Climatic Change, 82, 309325, doi:10.1007/s10584-006-9180-9.

    • Search Google Scholar
    • Export Citation
  • Mishra, A. K., and V. R. Desai, 2005: Drought forecasting using stochastic models. J. Stochastic Environ. Res. Risk Assess., 19, 326339.

    • Search Google Scholar
    • Export Citation
  • Mishra, A. K., and V. P. Singh, 2010: A review of drought concepts. J. Hydrol., 391 (1–2), 202216.

  • Mishra, A. K., and V. P. Singh, 2011: Drought modeling—A review. J. Hydrol., 403, 157175.

  • Mishra, A. K., V. R. Desai, and V. P. Singh, 2007: Drought forecasting using a hybrid stochastic and neural network model. J. Hydrol. Eng., 12, 626638.

    • Search Google Scholar
    • Export Citation
  • National Climatic Data Center, 2002: U.S. national percent area severely to extremely dry and severely to extremely wet. NCDC Dataset. [Available online at http://www.ncdc.noaa.gov/oa/climate/research/2002/may/uspctarea-wetdry.txt.]

  • Özger, M., A. K. Mishra, and V. P. Singh, 2012: Long lead time drought forecasting using a wavelet and fuzzy logic combination model: A case study in Texas. J. Hydrometeor., 13, 284297.

    • Search Google Scholar
    • Export Citation
  • Palmer, W. C., 1965: Meteorological drought. U.S. Weather Bureau Research Paper 45, 58 pp.

  • Quiring, S. M., 2009: Developing objective operational definitions for monitoring drought. J. Appl. Meteor. Climatol., 48, 12171229.

  • Rao, A. R., and G. Padmanabhan, 1984: Analysis and modelling of Palmers drought index series. J. Hydrol., 68, 211229.

  • Torrence, C., and G. P. Compo, 1998: A practical guide to wavelet analysis. Bull. Amer. Meteor. Soc., 79, 6178.

  • Wilhite, D. A., and M. J. Hayes, 1998: Drought planning in the United States: Status and future directions. The Arid Frontier, H. J. Bruins and H. Lithwick, Eds., Kluwer, 33–54.

  • Wood, A. W., L. R. Leung, V. Sridhar, and D. P. Lettenmaier, 2004: Hydrologic implications of dynamical and statistical approaches to downscaling climate model outputs. Climatic Change, 15, 189216.

    • Search Google Scholar
    • Export Citation
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