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Analysis of Irrigation Water Use Efficiency Based on the Chaos Features of a Rainfall Time Series

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The chaos theory is used to analyze the mechanism behind the response of irrigation water use efficiency (IWUE) to rainfall in irrigation districts of the Heilongjiang Province in China. The Lyapunov exponent and correlation dimension of the monthly rainfall time series of eight large- and medium-sized irrigation districts are calculated, and the correlations between IWUE and certain factors are analyzed. The results indicate that the monthly rainfall time series of each district sample exhibits chaotic characteristics, and high correlations exist between IWUE and the chaos features of the monthly rainfall time series. Furthermore, the scale of the irrigation district has some correlations with IWUE. The research results show that the difference in the temporal distribution of rainfall and the difference in the scale of an irrigation district both impact IWUE. This study provides a theoretical basis for improving the usage efficiency of water resources in the irrigation districts of Heilongjiang Province and for increasing the IWUE.

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This research was supported by funds from the National Natural Science Foundation of China (51479032, 51679039, 51609039, 51579044), the Yangtze River Scholars in Universities of Heilongjiang Province and the Water Conservancy Science and Technology project of Heilongjiang Province (201318, 201503), and the Outstanding Youth Fund of Heilongjiang Province (JC201402).

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Correspondence to Qiang Fu.

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Fu, Q., Liu, Y., Li, T. et al. Analysis of Irrigation Water Use Efficiency Based on the Chaos Features of a Rainfall Time Series. Water Resour Manage 31, 1961–1973 (2017). https://doi.org/10.1007/s11269-017-1624-7

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  • Irrigation district
  • Irrigation water use efficiency
  • Heilongjiang Province
  • Rainfall time series
  • Chaos theory
  • Lyapunov exponent
  • Correlation dimension