Sains Malaysiana 48(4)(2019): 921–925

http://dx.doi.org/10.17576/jsm-2019-4804-25

 

Carbon Absorption Control Model of Oil Palm Plantation

(Model Kawalan Penyerapan Karbon Ladang Kelapa Sawit)

 

NORYANTI NASIR^1,2*, MOHD ISMAIL ABD AZIZ^1,3 & AKBAR BANITALEBI^1,3

 

¹Department of Mathematical Sciences, Faculty of Sciences, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor Bahru, Johor Darul Takzim, Malaysia

 

²Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Kampus Seremban, Persiaran Seremban Tiga/1, Seremban 3, 70300 Seremban, Negeri Sembilan Darul Khusus, Malaysia

 

³UTM Center for Industrial and Applied Mathematics, Universiti Teknologi Malaysia, 81310 UTM, Skudai, Johor Bahru, Johor Darul Takzim, Malaysia

 

Diserahkan: 7 Januari 2017/Diterima: 28 September 2017

 

ABSTRACT

Among the largest and growing oil palm industries, Malaysia plays an important role in the world’s oil market. The contribution of the palm plantation in absorbing carbon from the atmosphere is also considerable thought, it is rarely studied. The role of the plantation in balancing carbon dioxide is significant. However, the ability of palm tree in absorbing carbon may vary within the lifespan of the plant. Therefore, managing the plantation to reach the maximum carbon dioxide absorption along with maximum oil production is challenging. This study is aimed at analyzing the carbon absorption level of the palm oil plantation. A mathematical model is proposed by considering the characteristics of palm oil trees in absorbing carbon and producing oil. It is assumed that the rate of felling can be controlled, and a system of ordinary differential equations is developed to describe the behaviour of the plantation in terms of biomass and growth rate dynamics. The resulting parameter estimation problem is solved which leads to an optimal control problem. The objective of this problem was to maximize the oil production as well as carbon absorption. Numerical simulation is illustrated to highlight the application of the proposed model.

 

Keywords: Carbon absorption; optimal control model; palm oil biomass

 

ABSTRAK

Malaysia antara negara industri kelapa sawit terbesar dan masih berkembang yang memainkan peranan penting dalam pasaran minyak dunia. Sumbangan perladangan kelapa sawit dalam menyerap karbon dari atmosfera amat mustahak, namun jarang dikaji. Walau bagaimanapun, keupayaan pokok sawit dalam menyerap karbon mungkin berbeza mengikut jangka hayat tumbuhan. Oleh itu menguruskan ladang untuk mencapai penyerapan karbon dioksida yang maksimum berserta dengan pengeluaran minyak maksimum adalah mencabar. Kajian ini bertujuan untuk menganalisis tahap penyerapan karbon daripada ladang kelapa sawit. Model matematik adalah dicadangkan dengan mengambil kira ciri-ciri pokok kelapa sawit dalam menyerap karbon dan menghasilkan minyak. Ia diandaikan bahawa kadar penebangan boleh dikawal, sistem persamaan pembezaan biasa (ODE) dibangunkan untuk menerangkan tingkah laku perladangan daripada segi biojisim dan kadar pertumbuhan dinamik. Keputusan daripada parameter anggaran membawa kepada penyelesaian masalah kawalan optimum. Objektif masalah ini adalah untuk memaksimumkan pengeluaran minyak serta penyerapan karbon. Simulasi berangka digambarkan untuk menyerlahkan aplikasi model yang dicadangkan.

 

Kata kunci: Kelapa sawit biojisim; model kawalan optimum, penyerapan karbon

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*Pengarang untuk surat-menyurat; email: noryanti4@live.utm.my