Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy

This study aims to test the appropriateness of multivariate skew-t copula and checkerboard copula of maximum entropy in generating monthly rainfall total data. The generation of synthetic data is important, as it provides hypothetical data in areas for which data availability remains limited. Three...

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Main Authors:	Noor Fadhilah, Ahmad Radi, Roslinazairimah, Zakaria, Piantadosi, Julia, Boland, John, Wan Zawiah, Wan Zin, Muhammad Az-zuhri, Azman
Format:	Article
Language:	English
Published:	Springer 2017
Subjects:	Q Science (General)
Online Access:	http://umpir.ump.edu.my/id/eprint/17524/ http://umpir.ump.edu.my/id/eprint/17524/ http://umpir.ump.edu.my/id/eprint/17524/ http://umpir.ump.edu.my/id/eprint/17524/2/Generating%20Synthetic%20Rainfall%20Total%20Using%20Multivariate%20Skew-t%20and%20Checkerboard%20Copula%20of%20Maximum%20Entropy%201.pdf

id	ump-17524
recordtype	eprints
spelling	ump-175242017-04-25T01:27:06Z http://umpir.ump.edu.my/id/eprint/17524/ Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy Noor Fadhilah, Ahmad Radi Roslinazairimah, Zakaria Piantadosi, Julia Boland, John Wan Zawiah, Wan Zin Muhammad Az-zuhri, Azman Q Science (General) This study aims to test the appropriateness of multivariate skew-t copula and checkerboard copula of maximum entropy in generating monthly rainfall total data. The generation of synthetic data is important, as it provides hypothetical data in areas for which data availability remains limited. Three selected meteorological stations in Kelantan, Malaysia, Stesen Pertanian Melor, Rumah Pam Salor, and Ladang Lepan Kabu, are considered in this study. Monthly rainfall total data for the driest and wettest months in the year are tested in this study. For these three stations, the identified month with the least total of rainfall received (driest) is May, while the month with the highest total of rainfall received (wettest) is November. The data is fitted to gamma distribution with the corresponding parameters estimated. The observed data will be transformed to be in unit uniform using the gamma marginal. The resulting data is compared to simulated uniform data generated using multivariate skew-t copula and checkerboard copula of maximum entropy models based on the correlation values of the observed and simulated data. Next, the Kolmogorov-Smirnov test is used to assess the fit between the observed and generated data. The results show that the values of simulated correlation coefficients do not differ much for gamma distribution, multivariate skew-t, and maximum entropy approaches. This implies that the multivariate skew-t and maximum entropy may be used to generate monthly rainfall total for cases in which actual data is unavailable. Springer 2017 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/17524/2/Generating%20Synthetic%20Rainfall%20Total%20Using%20Multivariate%20Skew-t%20and%20Checkerboard%20Copula%20of%20Maximum%20Entropy%201.pdf Noor Fadhilah, Ahmad Radi and Roslinazairimah, Zakaria and Piantadosi, Julia and Boland, John and Wan Zawiah, Wan Zin and Muhammad Az-zuhri, Azman (2017) Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy. Water Resources Management, 31 (5). pp. 1729-1744. ISSN 0920-4741 (print); 1573-1650 (online) http://dx.doi.org/10.1007/s11269-017-1597-6 doi: 10.1007/s11269-017-1597-6
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	Q Science (General)
spellingShingle	Q Science (General) Noor Fadhilah, Ahmad Radi Roslinazairimah, Zakaria Piantadosi, Julia Boland, John Wan Zawiah, Wan Zin Muhammad Az-zuhri, Azman Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy
description	This study aims to test the appropriateness of multivariate skew-t copula and checkerboard copula of maximum entropy in generating monthly rainfall total data. The generation of synthetic data is important, as it provides hypothetical data in areas for which data availability remains limited. Three selected meteorological stations in Kelantan, Malaysia, Stesen Pertanian Melor, Rumah Pam Salor, and Ladang Lepan Kabu, are considered in this study. Monthly rainfall total data for the driest and wettest months in the year are tested in this study. For these three stations, the identified month with the least total of rainfall received (driest) is May, while the month with the highest total of rainfall received (wettest) is November. The data is fitted to gamma distribution with the corresponding parameters estimated. The observed data will be transformed to be in unit uniform using the gamma marginal. The resulting data is compared to simulated uniform data generated using multivariate skew-t copula and checkerboard copula of maximum entropy models based on the correlation values of the observed and simulated data. Next, the Kolmogorov-Smirnov test is used to assess the fit between the observed and generated data. The results show that the values of simulated correlation coefficients do not differ much for gamma distribution, multivariate skew-t, and maximum entropy approaches. This implies that the multivariate skew-t and maximum entropy may be used to generate monthly rainfall total for cases in which actual data is unavailable.
format	Article
author	Noor Fadhilah, Ahmad Radi Roslinazairimah, Zakaria Piantadosi, Julia Boland, John Wan Zawiah, Wan Zin Muhammad Az-zuhri, Azman
author_facet	Noor Fadhilah, Ahmad Radi Roslinazairimah, Zakaria Piantadosi, Julia Boland, John Wan Zawiah, Wan Zin Muhammad Az-zuhri, Azman
author_sort	Noor Fadhilah, Ahmad Radi
title	Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy
title_short	Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy
title_full	Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy
title_fullStr	Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy
title_full_unstemmed	Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy
title_sort	generating synthetic rainfall total using multivariate skew-t and checkerboard copula of maximum entropy
publisher	Springer
publishDate	2017
url	http://umpir.ump.edu.my/id/eprint/17524/ http://umpir.ump.edu.my/id/eprint/17524/ http://umpir.ump.edu.my/id/eprint/17524/ http://umpir.ump.edu.my/id/eprint/17524/2/Generating%20Synthetic%20Rainfall%20Total%20Using%20Multivariate%20Skew-t%20and%20Checkerboard%20Copula%20of%20Maximum%20Entropy%201.pdf
first_indexed	2023-09-18T22:24:15Z
last_indexed	2023-09-18T22:24:15Z
_version_	1777415860621672448

Generating Synthetic Rainfall Total Using Multivariate Skew-t and Checkerboard Copula of Maximum Entropy

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