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Differential Evolution for Prediction of Longitudinal Dispersion Coefficients in Natural Streams

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Abstract

Differential evolution (DE) is a population-based evolutionary algorithm widely used for solving multidimensional global optimization problems over continuous spaces, and has been successfully used to solve several kinds of problems. In this paper, a novel expression for the prediction of longitudinal dispersion coefficient in natural streams is proposed to minimize the sum-square error using differential evolution algorithm. The new expression considers the hydraulic and geometric characteristics of rivers. Datasets consisting 65 sets of observations from 29 rivers in the unite states are used to test the proposed algorithm, and results demonstrate the performance and applicability of the proposed differential evolution. Compared with the previous methods, the new expression using differential evolution is superior to other expressions. Moreover, 56.92 % of the prediction using the new expression lie with the 0.5 < K pre /K meas  < 1.5 that is better than other expressions.

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Acknowledgments

This research is fully supported by Opening Fund of Top Key Discipline of Computer Software and Theory in Zhejiang Provincial Colleges at Zhejiang Normal University under Grant No. ZSDZZZZXK37 and the Fundamental Research Funds for the Central Universities Nos. 11CXPY010. Guangxi Natural Science Foundation (No. 2013GXNSFBA019263), Science and Technology Research Projects of Guangxi Higher Education (No.2013YB029), Scientific Research Foundation of Guangxi Normal University for Doctors.

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Authors and Affiliations

  1. College of Computer Science, Northeast Normal University, Changchun, 130117, People’s Republic of China

    Xiangtao Li & Minghao Yin

  2. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, 321004, China

    Huawen Liu

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  1. Xiangtao Li
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  2. Huawen Liu
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  3. Minghao Yin
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Correspondence to Minghao Yin.

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Li, X., Liu, H. & Yin, M. Differential Evolution for Prediction of Longitudinal Dispersion Coefficients in Natural Streams. Water Resour Manage 27, 5245–5260 (2013). https://doi.org/10.1007/s11269-013-0465-2

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  • DOI: https://doi.org/10.1007/s11269-013-0465-2

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