Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables
One of the major difficulties in simulating rainfall is the need to accurately represent rainfall accumulations. An accurate simulation of monthly rainfall should also provide an accurate simulation of yearly rainfall by summing the monthly totals. A major problem in this regard is that rainfall dis...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English English |
Published: |
Penerbit Universiti Teknologi Malaysia
2013
|
Subjects: | |
Online Access: | http://umpir.ump.edu.my/id/eprint/6284/1/Modelling_Catchment_Rainfall_Using_Sum_of_Correlated_Gamma_Variables.pdf http://umpir.ump.edu.my/id/eprint/6284/4/Modelling%20Catchment%20Rainfall%20Using%20Sum%20of%20Correlated%20Gamma%20Variables.pdf |
_version_ | 1796990072931745792 |
---|---|
author | Roslinazairimah, Zakaria Howlett, P. G. Piantadosi, J. Boland, J. W. Nor Hafizah, Moslim |
author_facet | Roslinazairimah, Zakaria Howlett, P. G. Piantadosi, J. Boland, J. W. Nor Hafizah, Moslim |
author_sort | Roslinazairimah, Zakaria |
collection | UMP |
description | One of the major difficulties in simulating rainfall is the need to accurately represent rainfall accumulations. An accurate simulation of monthly rainfall should also provide an accurate simulation of yearly rainfall by summing the monthly totals. A major problem in this regard is that rainfall distributions for successive months may not be independent. Thus the rainfall accumulation problem must be represented as the summation of dependent random variables. This study is aimed to show if the statistical parameters for several stations within a particular catchment is known, then a weighted sum is used to determine a rainfall model for the entire local catchment. A spatial analysis for the sum of rainfall volumes from four selected meteorological stations within the same region using the monthly rainfall data is conducted. The sum of n correlated gamma variables is used to model the sum of monthly rainfall totals from four stations when there is significant correlation between the stations.
|
first_indexed | 2024-03-06T11:46:15Z |
format | Article |
id | UMPir6284 |
institution | Universiti Malaysia Pahang |
language | English English |
last_indexed | 2024-03-06T11:46:15Z |
publishDate | 2013 |
publisher | Penerbit Universiti Teknologi Malaysia |
record_format | dspace |
spelling | UMPir62842018-06-28T08:27:58Z http://umpir.ump.edu.my/id/eprint/6284/ Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables Roslinazairimah, Zakaria Howlett, P. G. Piantadosi, J. Boland, J. W. Nor Hafizah, Moslim Q Science (General) One of the major difficulties in simulating rainfall is the need to accurately represent rainfall accumulations. An accurate simulation of monthly rainfall should also provide an accurate simulation of yearly rainfall by summing the monthly totals. A major problem in this regard is that rainfall distributions for successive months may not be independent. Thus the rainfall accumulation problem must be represented as the summation of dependent random variables. This study is aimed to show if the statistical parameters for several stations within a particular catchment is known, then a weighted sum is used to determine a rainfall model for the entire local catchment. A spatial analysis for the sum of rainfall volumes from four selected meteorological stations within the same region using the monthly rainfall data is conducted. The sum of n correlated gamma variables is used to model the sum of monthly rainfall totals from four stations when there is significant correlation between the stations. Penerbit Universiti Teknologi Malaysia 2013 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/6284/1/Modelling_Catchment_Rainfall_Using_Sum_of_Correlated_Gamma_Variables.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/6284/4/Modelling%20Catchment%20Rainfall%20Using%20Sum%20of%20Correlated%20Gamma%20Variables.pdf Roslinazairimah, Zakaria and Howlett, P. G. and Piantadosi, J. and Boland, J. W. and Nor Hafizah, Moslim (2013) Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables. Jurnal Teknologi (Sciences and Engineering), 63 (2). pp. 85-88. ISSN 0127-9696 (print); 2180-3722 (online). (Published) http://dx.doi.org/10.11113/jt.v63.1918 DOI: 10.11113/jt.v63.1918 |
spellingShingle | Q Science (General) Roslinazairimah, Zakaria Howlett, P. G. Piantadosi, J. Boland, J. W. Nor Hafizah, Moslim Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables |
title | Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables |
title_full | Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables |
title_fullStr | Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables |
title_full_unstemmed | Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables |
title_short | Modelling Catchment Rainfall Using Sum of Correlated Gamma Variables |
title_sort | modelling catchment rainfall using sum of correlated gamma variables |
topic | Q Science (General) |
url | http://umpir.ump.edu.my/id/eprint/6284/1/Modelling_Catchment_Rainfall_Using_Sum_of_Correlated_Gamma_Variables.pdf http://umpir.ump.edu.my/id/eprint/6284/4/Modelling%20Catchment%20Rainfall%20Using%20Sum%20of%20Correlated%20Gamma%20Variables.pdf |
work_keys_str_mv | AT roslinazairimahzakaria modellingcatchmentrainfallusingsumofcorrelatedgammavariables AT howlettpg modellingcatchmentrainfallusingsumofcorrelatedgammavariables AT piantadosij modellingcatchmentrainfallusingsumofcorrelatedgammavariables AT bolandjw modellingcatchmentrainfallusingsumofcorrelatedgammavariables AT norhafizahmoslim modellingcatchmentrainfallusingsumofcorrelatedgammavariables |