Abstract

AbstractThis paper uses Gumbel-Hougaard (G-H) copula, Clayton copula and Frank copula to construct joint distributions of hydrological variables of the two typical stations on the Yellow River Region, including the annual maximum flood magnitude (AMFM), the annual maximum flood occurrence date (AMFOD) and the annual runoffs (ARs). The results give the joint distribution between each pair of the variables. Also an isoline of the concurrence return periods between the AMFMs of the two stations was drawn up.

Highlights

  • Water resource is a kind of indispensible natural resource to human society

  • The paper implemented three common used Archimedean copulas, namely G-H copula, Clayton copula and Frank copula to analyze the joint behavior between several hydrological variables e.g. annual maximum flood peak and occurrence date of Sanmenxia station and Huayuankou station and compare the Goodness of fit (GOF) of different copulas and estimators

  • Result shows that G-H copula is the most fitted model for the joint distribution between the annual maximum flood magnitude (AMFM) of the two stations and between annual runoffs (ARs) of the two stations

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Summary

Introduction

Water resource is a kind of indispensible natural resource to human society. Large scale hydrological issues have drawn great attention by researchers all over the world because it may have some impacts on the living, economy and society. H. et al 1 studied the effect of changes in land cover on the discharge of the Tocantins River (175360 km2) in Southeastern Amazonia and found that the change of vegetable cover did disturbed the hydrological response of the region. H. 2collected lone-term hydrological and climate data and large scale cumulative forest harvesting in the Willow watershed of 2860 km[2] in Canada and investigated the impact of the harvesting on hydrology

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