Modelling and optimization for palm oil plantation management

Banitalebi, Akbar; Aziz, Mohd Ismail Abd; Aziz, Zainal Abdul; Nasir, Noryanti

doi:10.1063/1.4954582

Cited by 6 publications

(5 citation statements)

References 19 publications

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“…Thus, the amount of carbon in palm oil can be accumulated by the proportional amount of biomass. The amount of yield is reported proportional with the amount of fresh fruit bunches (Banitalebi et al 2016;Sukiran et al 2009) indicates in C(t) and Y(t), respectively, in (3) and (4). The α and γ are the weighted of carbon absorption and the rate of oil production and h indicates the harvest rate.…”

Section: The Modelmentioning

confidence: 99%

Carbon Absorption Control Model of Oil Palm Plantation

Nasir¹,

Aziz²,

Banitalebi³

2019

JSM

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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.

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Section: The Modelmentioning

confidence: 99%

Carbon Absorption Control Model of Oil Palm Plantation

Nasir¹,

Aziz²,

Banitalebi³

2019

JSM

Self Cite

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“…Now, we assume for some λ = iω with ω > 0 be the solution of (9). Then equation (9) can be written as…”

Section: System With Maturation Delaymentioning

confidence: 99%

A dynamical approach to the legal and illegal logging of forestry population and conservation using taxation

Chaudhary

Pathak

2017

Adv Differ Equ

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Over-harvesting of forestry resource, primarily trees, through illegal logging has been exceptionally regular for decades. In the context of this worldwide issue, a mathematical model considering the joined impact of legal and illegal logging of trees from forestry biomass using delay-driven ordinary differential equations is proposed. For the set of equations, we have taken immature, mature forestry biomass, and industrial densities as three state variables. Additionally, the effect of time-lag for the conversion of immature forestry biomass to mature forestry biomass is considered. System boundedness, feasible equilibrium analysis and the stability of all the feasible equilibria is examined using the differential equation theory. From the detailed analysis of the system, it is observed that with the delay in time, the system bifurcates as it reaches the critical threshold. While without the delay, the system is asymptotically stable. Biologic and bio-economic results of the system are also interpreted for the optimal equilibrium solutions. The optimal path is obtained by constructing the Hamiltonian, which is further solved using Pontryagin"s principle associated with the control problem. Further, numerical simulation is also provided in support of analytical results. Moreover, the normalized forward sensitivity index is used to analyze the parameter sensitivity.MSC: 34D; 34H; 90A; 92B

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“…On the other hand, [11,12], applied the optimal control theory in palm plantations to maximize oil production and carbon sequestration while maintaining biomass at a certain level. Recently [13] formulated a mathematical model that studies the dynamics of carbon capture in forest plantations, which was taken as a reference for the present work.…”

Section: Introductionmentioning

confidence: 99%

Existence of solutions for an optimal control problem in forestry management

Altamirano-Fernández

Rojas‐Palma

Meza

2023

J. Phys.: Conf. Ser.

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Physical, biological, and economic factors remain inexhaustible sources when determining silvicultural management strategies that maximize the net benefit of timber volume. The objective of this paper is to formulate an optimal control problem to maximize the net benefit of timber volume and to demonstrate the existence of optimal solutions to this problem. The optimal control theory will be used, through the formulation of a bioeconomic optimal control problem subjected to a system of three ordinary differential equations that describe the interactions between the living biomass, the intrinsic growth of the biomass, and the burned area. Four control variables are associated with these differential equations, which are reforestation, felling, thinning, and fire prevention. Assuming adequate conditions on the control variables, the existence of optimal solutions to the optimal control problem is obtained using Filippov’s theorem. In conclusion, the optimal control problem is well formulated and solutions exist. This will allow us to define forest management strategies that optimize the economic gain of the process, taking into consideration the physical, biological, and economic phenomena involved in the dynamics of forest plantations.

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Modelling and optimization for palm oil plantation management

Cited by 6 publications

References 19 publications

Carbon Absorption Control Model of Oil Palm Plantation

Carbon Absorption Control Model of Oil Palm Plantation

A dynamical approach to the legal and illegal logging of forestry population and conservation using taxation

Existence of solutions for an optimal control problem in forestry management

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