Mathematics and Statistics Vol. 8(2A), pp. 28 - 35
DOI: 10.13189/ms.2020.081305
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Markov Chain: First Step towards Heat Wave Analysis in Malaysia

Nur Hanim Mohd Salleh ^1,*, Husna Hasan ¹, Fariza Yunus ^2
1 School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia
² Malaysian Meteorological Department (Jabatan Meteorologi Malaysia), Malaysia

ABSTRACT

Extreme temperature has been carried out around the world to provide awareness and proper opportunity for the societies to prepare necessary arrangements. In this present paper, the first order Markov chain model was applied to estimate the probability of extreme temperature based on the heat wave scales provided by the Malaysian Meteorological Department. In this study, the 24-year period (1994-2017) daily maximum temperature data for 17 meteorological stations in Malaysia was assigned to the four heat wave scales which are monitoring, alert level, heat wave and emergency. The analysis result indicated that most of the stations had three categories of heat wave scales. Only Chuping station had four categories while Bayan Lepas, Kuala Terengganu, Kota Bharu and Kota Kinabalu stations had two categories. The limiting probabilities obtained at each station showed a similar trend which the highest proportion of daily maximum temperature occurred in the scale of monitoring and followed by the alert level. This trend is apparent when the daily maximum temperature data revealed that Malaysia is experiencing two consecutive days of temperature below 35℃.

KEYWORDS
Markov Chain, Maximum Temperature, Heat Wave, Transition Probability Matrix, Limiting Probabilities

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Nur Hanim Mohd Salleh , Husna Hasan , Fariza Yunus , "Markov Chain: First Step towards Heat Wave Analysis in Malaysia," Mathematics and Statistics, Vol. 8, No. 2A, pp. 28 - 35, 2020. DOI: 10.13189/ms.2020.081305.

(b). APA Format:
Nur Hanim Mohd Salleh , Husna Hasan , Fariza Yunus (2020). Markov Chain: First Step towards Heat Wave Analysis in Malaysia. Mathematics and Statistics, 8(2A), 28 - 35. DOI: 10.13189/ms.2020.081305.