Vulnerability assessment of dam water supply capacity based on bivariate frequency analysis using copula

Chulsang Yoo, Eunsaem Cho

Research output: Contribution to journalArticle

Abstract

The vulnerability of the water supply capacity of a dam is defined as the expected deficit volume from a typical water deficit event. In this study, a water deficit event was assumed to be a rectangle composed of the deficit duration and deficit intensity whose occurrence probability was then estimated by the bivariate frequency analysis based on the copula method. This approach is different from the conventional one based on the assumption of the same occurrence probability for all events. This proposed method was applied to the Namgang dam in Korea as an example and the resulting estimate of the vulnerability was compared with the conventional method. First, the 'OR' concept was found to be better than the 'AND' concept in the calculation of the occurrence probability. Additionally, based on the consideration of multicollinearity, it could be concluded that the occurrence probability should be estimated by considering the water deficit intensity and duration. For the Namgang dam, the vulnerability was determined to be 9.11 × 106 m3, which is about 3% of the total storage capacity. This estimated vulnerability is also about 70% of the amount estimated by applying the conventional method with the same occurrence probability for all water deficit events.

Original languageEnglish
Article number1113
JournalWater (Switzerland)
Volume10
Issue number9
DOIs
Publication statusPublished - 2018 Aug 21

Fingerprint

frequency analysis
dams (hydrology)
Water Supply
Water supply
Dams
water management
water supply
deficit
vulnerability
dam
Water
water
event
duration
Korea
methodology
Korean Peninsula
method

Keywords

  • Bivariate frequency analysis
  • Copula model
  • Vulnerability assessment
  • Water deficit event
  • Water supply capacity

ASJC Scopus subject areas

  • Biochemistry
  • Geography, Planning and Development
  • Aquatic Science
  • Water Science and Technology

Cite this

Vulnerability assessment of dam water supply capacity based on bivariate frequency analysis using copula. / Yoo, Chulsang; Cho, Eunsaem.

In: Water (Switzerland), Vol. 10, No. 9, 1113, 21.08.2018.

Research output: Contribution to journalArticle

@article{3455cad2f02246ad83071bc44832c708,
title = "Vulnerability assessment of dam water supply capacity based on bivariate frequency analysis using copula",
abstract = "The vulnerability of the water supply capacity of a dam is defined as the expected deficit volume from a typical water deficit event. In this study, a water deficit event was assumed to be a rectangle composed of the deficit duration and deficit intensity whose occurrence probability was then estimated by the bivariate frequency analysis based on the copula method. This approach is different from the conventional one based on the assumption of the same occurrence probability for all events. This proposed method was applied to the Namgang dam in Korea as an example and the resulting estimate of the vulnerability was compared with the conventional method. First, the 'OR' concept was found to be better than the 'AND' concept in the calculation of the occurrence probability. Additionally, based on the consideration of multicollinearity, it could be concluded that the occurrence probability should be estimated by considering the water deficit intensity and duration. For the Namgang dam, the vulnerability was determined to be 9.11 × 106 m3, which is about 3{\%} of the total storage capacity. This estimated vulnerability is also about 70{\%} of the amount estimated by applying the conventional method with the same occurrence probability for all water deficit events.",
keywords = "Bivariate frequency analysis, Copula model, Vulnerability assessment, Water deficit event, Water supply capacity",
author = "Chulsang Yoo and Eunsaem Cho",
year = "2018",
month = "8",
day = "21",
doi = "10.3390/w10091113",
language = "English",
volume = "10",
journal = "Water (Switzerland)",
issn = "2073-4441",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "9",

}

TY - JOUR

T1 - Vulnerability assessment of dam water supply capacity based on bivariate frequency analysis using copula

AU - Yoo, Chulsang

AU - Cho, Eunsaem

PY - 2018/8/21

Y1 - 2018/8/21

N2 - The vulnerability of the water supply capacity of a dam is defined as the expected deficit volume from a typical water deficit event. In this study, a water deficit event was assumed to be a rectangle composed of the deficit duration and deficit intensity whose occurrence probability was then estimated by the bivariate frequency analysis based on the copula method. This approach is different from the conventional one based on the assumption of the same occurrence probability for all events. This proposed method was applied to the Namgang dam in Korea as an example and the resulting estimate of the vulnerability was compared with the conventional method. First, the 'OR' concept was found to be better than the 'AND' concept in the calculation of the occurrence probability. Additionally, based on the consideration of multicollinearity, it could be concluded that the occurrence probability should be estimated by considering the water deficit intensity and duration. For the Namgang dam, the vulnerability was determined to be 9.11 × 106 m3, which is about 3% of the total storage capacity. This estimated vulnerability is also about 70% of the amount estimated by applying the conventional method with the same occurrence probability for all water deficit events.

AB - The vulnerability of the water supply capacity of a dam is defined as the expected deficit volume from a typical water deficit event. In this study, a water deficit event was assumed to be a rectangle composed of the deficit duration and deficit intensity whose occurrence probability was then estimated by the bivariate frequency analysis based on the copula method. This approach is different from the conventional one based on the assumption of the same occurrence probability for all events. This proposed method was applied to the Namgang dam in Korea as an example and the resulting estimate of the vulnerability was compared with the conventional method. First, the 'OR' concept was found to be better than the 'AND' concept in the calculation of the occurrence probability. Additionally, based on the consideration of multicollinearity, it could be concluded that the occurrence probability should be estimated by considering the water deficit intensity and duration. For the Namgang dam, the vulnerability was determined to be 9.11 × 106 m3, which is about 3% of the total storage capacity. This estimated vulnerability is also about 70% of the amount estimated by applying the conventional method with the same occurrence probability for all water deficit events.

KW - Bivariate frequency analysis

KW - Copula model

KW - Vulnerability assessment

KW - Water deficit event

KW - Water supply capacity

UR - http://www.scopus.com/inward/record.url?scp=85052531869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85052531869&partnerID=8YFLogxK

U2 - 10.3390/w10091113

DO - 10.3390/w10091113

M3 - Article

AN - SCOPUS:85052531869

VL - 10

JO - Water (Switzerland)

JF - Water (Switzerland)

SN - 2073-4441

IS - 9

M1 - 1113

ER -