A comparison study between Doane’s and Freedman-Diaconis’ binning rule in characterizing potential water resources availability

Chuan, Zun Liang and Wan Nur Syahidah, Wan Yusoff and Mohd Khairul Bazli, Mohd Aziz and Ken, Tan Lit (2019) A comparison study between Doane’s and Freedman-Diaconis’ binning rule in characterizing potential water resources availability. In: Journal of Physics: Conference Series; 2nd International Conference on Applied and Industrial Mathematics and Statistics 2019, ICoAIMS 2019 , 23 - 25 July 2019 , The Zenith Hotel, Kuantan, Pahang. pp. 1-11., 1366 (1). ISSN 1742-6588 (print); 1742-6596 (online)

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Abstract

One of the primary constraints for development and management of water resources is the spatial and temporal uncertainty of rainfall. This is due to the stability and reliability of water supply is dynamically associated with the spatial and temporal uncertainty of rainfall. However, this spatial and temporal uncertainty can be assessed using the intensity entropy (IE) and apportionment entropy (AE). The main objective of this study is to investigate the implications of the use of Doane's and Freedman-Diaconis' binning rule in characterizing potential water resource availability (PWRA), which the PWRA is assessed via the standardized intensity entropy (IE') against the standardized apportionment entropy (AE') scatter diagram. To pursue the objective of this study, the daily rainfall data recorded ranging from January 2008 to December 2016 at four rainfall monitoring stations located Coastal region of Kuantan District Pahang are analyzed. The analysis results illustrated that the use of Doane's binning rule is more appropriate than Freedman-Diaconis' binning rule. This is due to the resulted PWRA characteristics using Doane's binning rule is relatively consistent with practical climate such that the study region is experiencing poor-in-water zone with less amount and high uncertainty of rainfall during the Southwest Monsoon, while abundant and perennial rainfall during the Northeast Monsoon. Furthermore, the use of Doane's binning rule is more advantages compared to the Freedman-Diaconis' binning rule with the abstraction of computational cost and time.

Item Type: Conference or Workshop Item (Lecture)
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Apportionment entropies; Computational costs; Intensity entropies; Monitoring stations; Potential water resources availabilities; Resource availability; Stability and reliabilities; Temporal uncertainty
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA76 Computer software
Faculty/Division: Center for Mathematical Science
Depositing User: Mrs Norsaini Abdul Samat
Date Deposited: 28 Dec 2022 04:20
Last Modified: 28 Dec 2022 04:20
URI: http://umpir.ump.edu.my/id/eprint/29737
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