Modelling of PM
10
Concentration in Industrialized Area in Malaysia:
A Case Study in Nilai
Norazian Mohamed Noor
1
, Cheng Yau Tan
1
, Mohd Mustafa Al Bakri Abdullah
2
, Nor Azam
Ramli
3
and Ahmad Shukri Yahaya
3
1
School of Environmental Engineering, Universiti Malaysia Perlis, Pejabat Pos Besar 01007 Kangar, Perlis
2
School of Material Engineering, Universiti Malaysia Perlis, Pejabat Pos Besar 01007 Kangar, Perlis
3
School of Civil Engineering, Universiti Sains Malaysia, Engineering Campus 14300 Nibong Tebal, Pulau
Pinang
Abstract. Three distributions, namely Weibull, log-normal and gamma were chosen to model the PM
10
observations at selected industrial area i.e. Nilai, Negeri Sembilan. One-year period hourly average data for
2006 and 2007 was used for this research. For parameters estimation, method of maximum likelihood
estimation (MLE) was selected. Four performance indicators that are mean absolute error (MAE), root mean
squared error (RMSE), coefficient of determination (R
2
) and prediction accuracy (PA), were applied to
determine the goodness-of-fit criteria of the distributions. The best distribution that fits with the PM
10
observations in Nilai was found to be gamma distribution. The probabilities of the exceedences concentration
were calculated and the return period for the coming year was predicted from the cumulative density function
(cdf) obtained from the best-fit distributions. For the 2006 data, Nilai was predicted to exceed 150 μg/m
3
for
2.7 days in 2007 with a return period of one occurrence per 137 days.
Keywords: Particulate matter, statistical analysis, probability distributions, performance indicators,
exceedences, return period.
1. Introduction
Exponential development of science and technology nowadays has lead to the rapid growing
industrialization which is the major sources of various environmental pollutions, especially air pollution. Air
pollutants, specifically particulate matter (PM) smaller than about 10 micrometers, referred as PM
10
, have
received extensive attention, due to its capability to settle in the bronchi and lungs and cause health problems.
Malaysian Ambient Air Quality Guidelines (MAAQG) were issued and target values for annual and
daily mean mass concentrations for various air pollutant were established to control and reduce air pollutant
levels in the atmosphere. Monitoring data and studies on ambient air quality show that some of the air
pollutants in several large cities are increasing with time and are not always at acceptable levels according to
the MAAQG. There are very limited data and case studies on air pollution in our country. While the
application is almost non-existent in our country, it is an attractive analytical option as it can reasonably
predict the return period and exceedences in the succeeding period to meet the evolving information needs of
environmental quality management [1].
Many types of probability distributions have been used to fit air pollutant concentrations including
Weibull distribution [2], lognormal distribution [3], gamma distribution [4] and Rayleigh distribution [5]. Lu
[6] and Chen et al. [7] have studied the goodness-of-fit for selected probability distributions by using several
performance indicators such as mean absolute error (MAE), root means error (RMSE), index of agreement
(d
2
), bias (B), normalized absolute error (NAE), prediction accuracy (PA) and coefficient of determination
(R
2
).
18
2011 International Conference on Environment and Industrial Innovation
IPCBEE vol.12 (2011) © (2011) IACSIT Press, Singapore