Environment and Ecology Research 6(3): 178-186, 2018 http://www.hrpub.org
DOI: 10.13189/eer.2018.060305
Probability Distribution Fitting of Rainfall Patterns in
Philippine Regions for Effective Risk Management
Ma. Dely P. Esberto
Doctor of Engineering (Civil Engineering) Program, School of Graduate Studies, College of Engineering,
Mindanao State University, Iligan Institute of Technology, Iligan, Philippines
Copyright©2018 by authors, all rights reserved. Authors agree that this article remains permanently open access under
the terms of the Creative Commons Attribution License 4.0 International License
Abstract This study aims to determine the best fit
frequency distribution of rainfall patterns for event
forecasting in order to address potential disasters. The
monthly rainfall data were taken from the PAGASA which
are analyzed using Chi-Square and K-S goodness-of-fit
tests. Rainfall data for the past 26-30 years was used to
determine the distribution pattern fitted into more than 60
Probability Distribution Functions (PDF). The best fitted
PDF both in Kolmogorov-Smirnov and in Chi-square tests
were used in statistical inferences. Findings showed that
each site has specific theoretical probability distribution
functions to infer rainfall events. Varying levels of rainfall
events were measured using the CDF. Consequently, the
statistical inferences found in this study are important for
designing optimum flood control facilities. Moreover, it is
also contributory for the effective management of
irrigation system of the National Irrigation Administration
for a more efficient water supply to the agricultural sector.
Keywords Distribution Fitting, Rainfall
1. Introduction
Rainfall is the most important environmental factor
contributory to agricultural activities of the Filipino people
across regions in the country. Irrigation supply depends
much on the availability of water where the volume
distribution is based on the available water resources such
as spring, river, and rainfall. Water supply through
irrigation is an important strategy in alleviating the current
food crisis. However, rain-fed agriculture is still the domi-
nant practice in most upland areas. Soil moisture manage-
ment in some areas of the country is faced with limited and
unreliable rainfall and high variability in rainfall pattern.
Collection and measurement of hydrological data proved
difficult on the part of hydrologists due to limited data with
some gaps in the series. It is vital to study the variability of
rainfall pattern to address climate changes which resulted
to occurrences of floods and droughts in several regions.
Dry and wet seasons can be felt simultaneously in the
country. When parts in Luzon have been flooded, most
areas in Mindanao were experiencing dry season and vice
versa as claimed by South Travels [1]. It can be observed
that the Philippines have been devastated by these famines
for quite a time now. We have been receiving news of flash
flood events in various parts of the country, the latest of
which occurred in Northern Mindanao, while other areas
(Luzon for instance) are experiencing limited rainfall.
Similar variations can also be noted in other parts of the
globe as reported by JPL TRMM Team [2] and Melville
[3].
Such variation can also be noted within adjacent regions
or provinces where dry season is widespread in most
regions, but some geographical areas are severely hit by
excessive monsoon rain leading to flash floods. One
example of the incident earlier cited was the December
2010 storm that swept the cities of Iligan and Cagayan de
Oro into a severe state of calamity. In contrast, most areas
in other regions such as Region XII did not experience
heavy rainfall during the time that the storm smashed the
two cities.
Other related studies which conducted rainfall
observations in their areas of jurisdiction showed similar
disparity in the occurrences of rainfall distribution.
Precipitation anomalies were also described in the articles
of Hillis [4], the Bureau of Meteorology [5] and Kumar [6].
However, most of those researches used tabular and
graph presentations to describe the rainfall intensities and
distribution frequencies. Such information does not tell us
the extent of erratic rainfall, when extreme seasonal
anomalies are apparent not only in the Philippines but in
the entire globe. A review on the published papers of
Tilahun [7] and Persson [8] revealed that a specific
probability distribution can best describe the rainfall
patterns for prediction purposes. It is in this light that the
researcher conducted a study of rainfall patterns in some
selected regions in Mindanao with the anticipation that the
rainfall variability of the selected study sites will fit to a