OPTIMAL HARVESTING OF A SPATIALLY DISTRIBUTED RENEWABLE RESOURCE WITH ENDOGENOUS PRICING

被引：5

作者：

Anita, S. ^{[1
,2
]}

Behringer, S. ^{[3
]}

Mosneagu, A-M ^{[1
]}

Upmann, T. ^{[4
,5
,6
]}

机构：

[1] Alexandru Ioan Cuza Univ, Iasi, Romania

[2] Octav Mayer Inst Math, Iasi, Romania

[3] SciencesPo, Paris, France

[4] Carl von Ossietzky Univ Oldenburg, Helmholtz Inst Funct Marine Biodivers, Oldenburg, Germany

[5] Bielefeld Univ, Fac Business Adm & Econ, Bielefeld, Germany

[6] CESifo, Munich, Germany

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2019年 / 14卷 / 01期

关键词：

Optimal control; optimality conditions; spatial harvesting; renewable resources; iterative algorithms; AGE;

D O I：

10.1051/mmnp/2018050

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we focus on the exploitation of a renewable resource in a spatial setting. Building upon the spatial harvesting model of [Behringer and Upmann, J. Econ. Dyn. Control 42 (2014) 105-120], we endogenize the price for the resource assuming that after harvesting the good is non-durable, i.e. the harvesting yield must be supplied on the market instantaneously. We find necessary optimality conditions and use them to derive an iterative algorithm to improve at each step the harvesting effort. We find that with endogenous prices the full exploitation result of [Behringer and Upmann, J. Econ. Dyn. Control 42 (2014) 105-120] may cease to hold.

引用

页数：13

共 17 条

[11] Research trends and opportunities in environmental and natural resource economics [J].

Deacon, RT ;

Brookshire, DS ;

Fisher, AC ;

Kneese, AV ;

Kolstad, CD ;

Scrogin, D ;

Smith, VK ;

Ward, M ;

Wilen, J .

ENVIRONMENTAL & RESOURCE ECONOMICS, 1998, 11 (3-4) :383-397

[12] Optimization of harvesting age in an integral age-dependent model of population dynamics [J].

Hritonenko, N ;

Yatsenko, Y .

MATHEMATICAL BIOSCIENCES, 2005, 195 (02) :154-167

[13]

La Torre D., 2015, Electron. J. Differ. Equ., V277, P1

[14]

Sanchirico J., 1999, J ENVIRON ECON MANAG, V42, P257

[15] CONTROL-THEORY APPLIED TO NATURAL AND ENVIRONMENTAL RESOURCES - EXPOSITION [J].

SMITH, VL .

JOURNAL OF ENVIRONMENTAL ECONOMICS AND MANAGEMENT, 1977, 4 (01) :1-24

[16]

SMITH VL, 1968, AM ECON REV, V58, P409

[17]

Zelikin MI, 2017, MATH NOTES+, V102, P521, DOI [10.1134/S0001434617090243, 10.4213/mzm11310]

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