### Abstract

Rainfall in Peninsular Malaysia is very much influenced by the monsoons which are characterized by heavy rainfall in a short duration and light rainfall in a long duration. These characteristics often cause the aggregated rainfall data to have a large variance. In order to investigate the reproduction properties of the observed rainfall, a Bartlett Lewis Model is fitted to the hourly rainfall data from 1971 to 2008 which are available at Petaling Jaya rain gauge station. When the model fitting of the variance data at different aggregation levels is considered, it is found that the Bartlett Lewis Model performed better for data at higher time scales (e.g. 6 hours, 12 hours) of the variances as compared to the data at lower time scales (e.g. 2 hours, 3 hours). This result does agree with some previous studies which indicate that it is recommended to use wide interval aggregation scales for describing rainfall variance.

Original language | English |
---|---|

Pages (from-to) | 5305-5313 |

Number of pages | 9 |

Journal | Applied Mathematical Sciences |

Volume | 6 |

Issue number | 105-108 |

Publication status | Published - 2012 |

### Fingerprint

### Keywords

- effect of variance structure
- Modified Bartlett Lewis Model

### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematical Sciences*,

*6*(105-108), 5305-5313.

**Reproduction of the variance scaling structure for Rainfall in Peninsular Malaysia using Bartlett Lewis Model.** / Hanaish, Ibrahim Suliman; Ibrahim, Kamarulzaman; Jemain, Abdul Aziz.

Research output: Contribution to journal › Article

*Applied Mathematical Sciences*, vol. 6, no. 105-108, pp. 5305-5313.

}

TY - JOUR

T1 - Reproduction of the variance scaling structure for Rainfall in Peninsular Malaysia using Bartlett Lewis Model

AU - Hanaish, Ibrahim Suliman

AU - Ibrahim, Kamarulzaman

AU - Jemain, Abdul Aziz

PY - 2012

Y1 - 2012

N2 - Rainfall in Peninsular Malaysia is very much influenced by the monsoons which are characterized by heavy rainfall in a short duration and light rainfall in a long duration. These characteristics often cause the aggregated rainfall data to have a large variance. In order to investigate the reproduction properties of the observed rainfall, a Bartlett Lewis Model is fitted to the hourly rainfall data from 1971 to 2008 which are available at Petaling Jaya rain gauge station. When the model fitting of the variance data at different aggregation levels is considered, it is found that the Bartlett Lewis Model performed better for data at higher time scales (e.g. 6 hours, 12 hours) of the variances as compared to the data at lower time scales (e.g. 2 hours, 3 hours). This result does agree with some previous studies which indicate that it is recommended to use wide interval aggregation scales for describing rainfall variance.

AB - Rainfall in Peninsular Malaysia is very much influenced by the monsoons which are characterized by heavy rainfall in a short duration and light rainfall in a long duration. These characteristics often cause the aggregated rainfall data to have a large variance. In order to investigate the reproduction properties of the observed rainfall, a Bartlett Lewis Model is fitted to the hourly rainfall data from 1971 to 2008 which are available at Petaling Jaya rain gauge station. When the model fitting of the variance data at different aggregation levels is considered, it is found that the Bartlett Lewis Model performed better for data at higher time scales (e.g. 6 hours, 12 hours) of the variances as compared to the data at lower time scales (e.g. 2 hours, 3 hours). This result does agree with some previous studies which indicate that it is recommended to use wide interval aggregation scales for describing rainfall variance.

KW - effect of variance structure

KW - Modified Bartlett Lewis Model

UR - http://www.scopus.com/inward/record.url?scp=84867286622&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867286622&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84867286622

VL - 6

SP - 5305

EP - 5313

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 105-108

ER -