<abstract xmlns="http://www.w3.org/1999/xhtml">Based on the data series of the annual reference crop evapotranspiration (ET0) and the amount of irrigation water (IR) from 1970 to 2013 in the Luhun irrigation district, the joint probability distribution of ET0 and IR is established using the Gumbel-Hougaard copula function. Subsequently, the joint probability, the conditional joint probability, and the conditional return period of rich−poor encounter situations of ET0 and IR are analysed. The results show that: (1) For the joint probabilities of rich−poor encounter situations of ET0 and IR, the asynchronous encounter probability is slightly larger than the synchronous encounter probability. (2) When IR is in rich state or ET0 is in poor state, the conditional joint probability is larger, and the conditional return period is smaller. (3) For a certain design frequency of ET0, if the design frequency decreases, the conditional joint probability of the amount of irrigation water will decrease, therefore the encounter probability of them will decrease. (4) For a certain design frequency of the amount of irrigation water, if the design frequency decreases, the conditional joint probability of ET0 will increase, thus the encounter probability of them will increase.</abstract>

Based on the data series of the annual reference crop evapotranspiration (ET0) and the amount of irrigation water (IR) from 1970 to 2013 in the Luhun irrigation district, the joint probability distribution of ET0 and IR is established using the Gumbel-Hougaard copula function. Subsequently, the joint probability, the conditional joint probability, and the conditional return period of rich−poor encounter situations of ET0 and IR are analysed. The results show that: (1) For the joint probabilities of rich−poor encounter situations of ET0 and IR, the asynchronous encounter probability is slightly larger than the synchronous encounter probability. (2) When IR is in rich state or ET0 is in poor state, the conditional joint probability is larger, and the conditional return period is smaller. (3) For a certain design frequency of ET0, if the design frequency decreases, the conditional joint probability of the amount of irrigation water will decrease, therefore the encounter probability of them will decrease. (4) For a certain design frequency of the amount of irrigation water, if the design frequency decreases, the conditional joint probability of ET0 will increase, thus the encounter probability of them will increase.

Encounter probability analysis of irrigation water and reference crop evapotranspiration in irrigation district

Journal of Hydrology and Hydromechanics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Based on the data series of the annual reference crop evapotranspiration (ET0) and the amount of irrigation water (IR) from 1970 to 2013 in the Luhun...

Encounter probability analysis of irrigation water and reference crop evapotranspiration in irrigation district

Published Online: Aug 14, 2018

Page range: 279 - 284

Received: Sep 25, 2017

Accepted: Dec 22, 2017

DOI: https://doi.org/10.2478/johh-2018-0015

Keywords
Luhun irrigation district, Copula function, Reference crop evapotranspiration, Amount of irrigation water, Encounter probability

© 2018 Jinping Zhang, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Encounter probability analysis of irrigation water and reference crop evapotranspiration in irrigation district

Published Online: Aug 14, 2018

Page range: 279 - 284

Received: Sep 25, 2017

Accepted: Dec 22, 2017

DOI: https://doi.org/10.2478/johh-2018-0015

KeywordsLuhun irrigation district, Copula function, Reference crop evapotranspiration, Amount of irrigation water, Encounter probability

© 2018 Jinping Zhang, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Luhun irrigation district, Copula function, Reference crop evapotranspiration, Amount of irrigation water, Encounter probability