MULTIFRACTAL SCALING OF DAILY RUNOFF TIME SERIES IN AGRICULTURAL WATERSHEDS1

Authors

  • Xiaobo Zhou,

    1. Respectively, Postdoctoral Scholar, Department of Crop and Soil Sciences, The Pennsylvania State University, University Park, Pennsylvania 16802; Associate Professor, Department of Crop and Soil Environmental Sciences, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061; Chemist, Soil and Water Science Department, University of Florida, Gainesville, Florida 32601; and Associate Professor, Department of Crop and Soil Sciences, The Pennsylvania State University, University Park, Pennsylvania 16802 (E-Mail/Zhou: xzz2@psu.edu).
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  • Naraine Persaud,

    1. Respectively, Postdoctoral Scholar, Department of Crop and Soil Sciences, The Pennsylvania State University, University Park, Pennsylvania 16802; Associate Professor, Department of Crop and Soil Environmental Sciences, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061; Chemist, Soil and Water Science Department, University of Florida, Gainesville, Florida 32601; and Associate Professor, Department of Crop and Soil Sciences, The Pennsylvania State University, University Park, Pennsylvania 16802 (E-Mail/Zhou: xzz2@psu.edu).
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  • Huaguo Wang,

    1. Respectively, Postdoctoral Scholar, Department of Crop and Soil Sciences, The Pennsylvania State University, University Park, Pennsylvania 16802; Associate Professor, Department of Crop and Soil Environmental Sciences, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061; Chemist, Soil and Water Science Department, University of Florida, Gainesville, Florida 32601; and Associate Professor, Department of Crop and Soil Sciences, The Pennsylvania State University, University Park, Pennsylvania 16802 (E-Mail/Zhou: xzz2@psu.edu).
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  • Hangsheng Lin

    1. Respectively, Postdoctoral Scholar, Department of Crop and Soil Sciences, The Pennsylvania State University, University Park, Pennsylvania 16802; Associate Professor, Department of Crop and Soil Environmental Sciences, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061; Chemist, Soil and Water Science Department, University of Florida, Gainesville, Florida 32601; and Associate Professor, Department of Crop and Soil Sciences, The Pennsylvania State University, University Park, Pennsylvania 16802 (E-Mail/Zhou: xzz2@psu.edu).
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  • 1

    Paper No. 05109 of the Journal of the American Water Resources Association (JAWRA) (Copyright © 2006). Discussions are open until June 1, 2007.

Abstract

Abstract: Multifractal scaling behavior of long-term records of daily runoff time series in 32 subwatersheds covering a wide range of sizes was examined. These subwatersheds were associated with four agricultural watersheds with different climates and topography. The empirical moment scaling curves obtained using the trace moment method showed that the runoff time series exhibited a multifractal behavior, which was valid over a time scale range from one day to about three years. The multi-fractal scaling of the runoff time series was well described by the Universal Multifractal Model. The spectral analysis (β < 1) and the order of fractional integration (H ⋍; 0) indicated that the runoff time series were conservative. The multifractal parameters, α (multifractal index) and C1 (co-dimension), were reasonably close to each other for subwatersheds within each of the watersheds and were generally similar among the four watersheds. The α values of the four watersheds were 1.10 ± 0.13, 1.61 ± 0.06,1.61 ± 0.24, and 1.63 ± 0.19. The C1 values of four watersheds were 0.19 ± 0.01, 0.17 ± 0.01, 0.17 ± 0.04, and 0.11 ± 0.02. The multifractal analyses provided useful insight into the runoff time series, especially the occurrence and distribution of extreme events.

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