A nonstationary extreme value distribution for analysing the cessation of karst spring discharge |
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| Authors: | Yan Liu Yonghong Hao Yonghui Fan Tongke Wang Xueli Huo Youcun Liu Tian‐Chyi J Yeh |
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| Institution: | 1. College of Mathematical Science, Tianjin Normal University, Tianjin, P.R. China;2. Tianjin Key Laboratory of Water Resources and Environment, Tianjin Normal University, Tianjin, P.R. China;3. College of Urban and Environmental Science, Tianjin Normal University, Tianjin, China;4. Department of Hydrology and Water Resources, The University of Arizona, Tucson, AZ, USA |
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| Abstract: | The effects of climate change and population growth in recent decades are leading us to consider their combined and potentially extreme consequences, particularly regarding hydrological processes, which can be modeled using a generalized extreme value (GEV) distribution. Most of the GEV models were based on a stationary assumption for hydrological processes, in contrast to the nonstationary reality due to climate change and human activities. In this paper, we present the nonstationary generalized extreme value (NSGEV) distribution and use it to investigate the risk of Niangziguan Springs discharge decreasing to zero. Rather than assuming the location, scale, and shape parameters to be constant as one might do for a stationary GEV distribution analysis, the NSGEV approach can reflect the dynamic processes by defining the GEV parameters as functions of time. Because most of the GEV model is designed to evaluate maxima (e.g. flooding, represented by positive numbers), and spring discharge cessation is a ?minima’, we deduced an NSGEV model for minima by applying opposite numbers, i.e. negative instead of positive numbers. The results of the model application to Niangziguan Springs showed that the probability of zero discharge at Niangziguan Springs will be 1/80 in 2025, and 1/10 in 2030. After 2025, the rate of decrease in spring discharge will accelerate, and the probability that Niangziguan Springs will cease flowing will dramatically increase. The NSGEV model is a robust method for analysing karst spring discharge. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | karst spring nonstationary generalized extreme value flow cessation maximum likelihood Niangziguan Springs China |
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