Optimal management of a renewable resource utilized by a population with taxation as a control variable

Dubey, B.; Patra, Atasi

doi:10.15388/na.18.1.14030

Cited by 8 publications

(6 citation statements)

References 19 publications

(21 reference statements)

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“…Fifth, looking at the problem from the point of view of economics, we are motivated to study optimal harvesting strategies of the herbivore population in the present modeling framework and/ or relevant modifications using a time-discounting policy to handle the question of long-term benefits. Similar problems in the optimal management of natural resources, which are directly related to a sustainable development, have been studied extensively by many authors (see, e.g., Dubey & Patra, 2013;Kar, 2003;Leung, 1995;Paul et al, 2016). This type of study leads to optimal control problems that are typically investigated by using Pontryagin's maximal principle (Pontryagin, Boltyanskii, Gamkrelidze, & Mishchenko, 1962).…”

Section: Possible Extensionsmentioning

confidence: 99%

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Bergland

Wyller

Burlakov

2019

Natural Resource Modeling

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We model pasture–livestock interactions by means of a predator–prey model, with the biomass vegetation as prey and the herbivores as predators. The harvesting rate is a sigmoidal function of the livestock density. We identify the necessary biological and harvest conditions for different equilibria of this model to exist. The system possesses no interior equilibrium points for the mortality rate exceeding a certain threshold. For the regime of low and moderate values of the mortality rate and a high consumption rate per animal, a unique finite and asymptotically stable state exists. We incorporate the effect of forage resource deterioration over time, causing extra decrease in the herbivore population and in the biomass density. We also include the effect of fluctuations in the availability of fodder by allowing for a seasonal periodic variation in the conversion efficiency. This results in extra oscillations superimposed on the general trends of the unperturbed system. Recommendations for Resource Managers Depending on biological and harvest conditions, the system possesses up to three equilibrium states. Forage resource deterioration over time causes an extra decrease in the herbivore population and in the biomass density. A seasonal periodic variation in the conversion efficiency results in oscillations mainly in the herbivore density superimposed on the general trends of the unperturbed system.

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Section: Possible Extensionsmentioning

confidence: 99%

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Bergland

Wyller

Burlakov

2019

Natural Resource Modeling

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“…This quadratic cost function is a modification of the linear cost function usually employed in resource modeling. See, for example, studies conducted by Kar and Misra [14] and Dubey et al [15]. Also novel to this present work is the discussion of the relationship between the shadow price and the net revenue per unit harvest as it relates to the optimal fishing effort.…”

Section: Introductionmentioning

confidence: 92%

A Bioeconomic Analysis of a Renewable Resource in the Presence of Illegal, Unreported and Unregulated Fishing

Ibrahim

2021

ARJOM

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The issue of illegal, unreported and unregulated (IUU) fishing is of prime concern to fisheries in developing countries where the regulatory regimes are often weak. This study proposes a Gordon-Schaefer bioeconomic model with non-constant catchability and nonlinear cost to study the impact of IUU fishing on the stock size of a marine fishery in Ghana. The static equilibrium reference points of the model are established and discussed. Bifurcation analysis on the modified Schaefer model shows the existence of a transcritical bifurcation point were the model is structurally unstable. Pontryagin’s maximum principle is employed to investigate the necessary conditions of the model, and also established are the sufficiency conditions that guarantee the existence and uniqueness of the optimality system. The characterization of the optimal control gives rise to both the boundary and interior solutions, with the former indicating that the resource should be harvested if and only if the marginal revenue of harvest exceeds the marginal revenue of stock. Numerical simulations with empirical data on the Ghana sardinella are carried out to validate the theoretical results. It is shown that IUU fishing leads to excessive exploitation of the resource biomass to levels below 50% of the carrying capacity. This has the tendency of making the fishery unsustainable, with its concomitant loss of revenue to fishers.

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“…Beberapa analisis mengenai sumber daya alam terbarukan memang di bidang perikanan seperti dalam [10] yang menggunakan variasi tingkat pemanenan ikan sebagai variabel kontrol, atau dalam [6] yang memandang cadangan ikan kod di Laut Baltik sebagai kapital/modal. Analisis di bidang yang lebih umum juga telah banyak diteliti seperti dalam [11] yang menggunakan kalkulus variasi untuk menentukan solusi pemanenan optimal yang memaksimumkan present value dari sumber daya alam terbarukan; dalam [8] yang memodelkan eksploitasi suatu populasi menggunakan persamaan logistik yang bergantung pada waktu dan berkoefisien konstan; dalam [9] yang menggunakan pemanenan berbasis seleksi Darwin; dalam [14,6,2] yang memodelkan dinamika populasi dengan kasus lokasi spasial; dalam [7] yang menggunakan pembayaran pajak sebagai variabel kontrol, dan dalam [15] yang menggunakan model opsi real untuk menggambarkan dinamika populasi sumber daya alam. Dalam penelitian ini, eksploitasi sumber daya alam terbarukan dikaitkan dengan sewa ekonomi (economic rent).…”

Section: Tinjauan Pustakaunclassified

Pemanfaatan Sumber Daya Alam Terbarukan Dalam Model Sewa Ekonomi

Hanum

Nugrahani

Susanti

2015

JMA

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Sumber daya alam, baik biotik maupun abiotik merupakan kekayaan bumi yang dapat dimanfaatkan untuk memenuhi kebutuhan dan kesejahteraan manusia. Sumber daya alam terbarukan adalah sumber daya alam yang dapat diperbarui seperti hewan, tumbuhan, air, dan udara. Tujuan penelitian ini ialah merekonstruksi model sewa ekonomi dan memberikan simulasi solusi maksimum dari penerimaan sewa ekonomi. Dalam penelitian ini, diambil tiga kasus yang berbeda, sehingga setiap kasus yang diambil akan menghasilkan penerimaan sewa ekonomi maksimum. Penelitian ini juga, membuat simulasi solusi maksimum penerimaan sewa ekonomi dan setiap kasus akan bernilai positif.

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Optimal management of a renewable resource utilized by a population with taxation as a control variable

Cited by 8 publications

References 19 publications

Pasture–livestock dynamics with density‐dependent harvest and changing environment

Pasture–livestock dynamics with density‐dependent harvest and changing environment

A Bioeconomic Analysis of a Renewable Resource in the Presence of Illegal, Unreported and Unregulated Fishing

Pemanfaatan Sumber Daya Alam Terbarukan Dalam Model Sewa Ekonomi

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