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Author: Stefan Behringer Publisher: ISBN: Category : Languages : en Pages : 26
Book Description
In this paper we investigate optimal harvesting of a renewable natural resource. While in the standard approach the resource is located at a single point in space we allow for the resource to be distributed over the plane. Consequently, an agent who exploits the resource has to travel from one location to another. For a fixed planning horizon we investigate the speed and the time path of harvesting chosen by the agent. We show that the agent adjusts the speed of movement so that he accomplishes to visit each location only once, even in the absence of travelling cost. Since he does not come back to any location for a second harvest, it is optimal for him to fully deplete the resource upon arrival. A society interested in conserving some of the resource thus has to take measures suitable to limit the exploitative behaviour of the agent.
Author: Stefan Behringer Publisher: ISBN: Category : Languages : en Pages : 26
Book Description
In this paper we investigate optimal harvesting of a renewable natural resource. While in the standard approach the resource is located at a single point in space we allow for the resource to be distributed over the plane. Consequently, an agent who exploits the resource has to travel from one location to another. For a fixed planning horizon we investigate the speed and the time path of harvesting chosen by the agent. We show that the agent adjusts the speed of movement so that he accomplishes to visit each location only once, even in the absence of travelling cost. Since he does not come back to any location for a second harvest, it is optimal for him to fully deplete the resource upon arrival. A society interested in conserving some of the resource thus has to take measures suitable to limit the exploitative behaviour of the agent.
Author: Thorsten Upmann Publisher: ISBN: Category : Languages : en Pages : 39
Book Description
In standard models of spatial harvesting, the resource is distributed over the complete domain and the agent is able to control the harvesting activity everywhere all the time. In some cases though, it is more realistic to assume that the resource is located at a single point in space and that the agent is required to travel there in order to be able to harvest. In this case, the agent faces a combined travelling-and-harvesting problem. We scrutinize this type of a two-stage optimal control problem, and illuminate the interdependencies between the solution of travelling and that of the harvesting sub-problem. Since the model is parsimoniously parameterised, we are able to analytically characterise the optimal policy of the complete travelling-and-harvesting problem. In an appendix we show how bounds on either control, i. e. on acceleration and on the harvesting capacity, as well as a positive discount rate affect the solution of the travelling-and-harvesting problem.
Author: Sudipto Sarkar Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
This paper derives the optimal harvesting policy for a renewable natural resource using a real-option model. The harvesting policy is illustrated using the well-known “tree-cutting” or “optimal rotation” problem from Forest Economics. We show how to identify the optimal tree size at which to harvest (or the optimal harvesting trigger), and also the resulting expected rotation period. The optimal trigger depends on (i) the growth dynamics of the tree, (ii) the interest rate, (iii) the harvesting cost, and (iv) size of the replacement seedling. With reasonable input parameters, it is shown that tree size must increase to 41⁄2 times the original size before it is optimal to harvest it, which gives an expected rotation period of 51 years. The model is flexible enough to accommodate various adjustments if necessary.
Author: Gustav Feichtinger Publisher: Springer ISBN: 3319751697 Category : Business & Economics Languages : en Pages : 443
Book Description
Since the days of Lev Pontryagin and his associates, the discipline of Optimal Control has enjoyed a tremendous upswing – not only in terms of its mathematical foundations, but also with regard to numerous fields of application, which have given rise to highly active research areas. Few scholars, however, have been able to make contributions to both the mathematical developments and the (socio-)economic applications; Vladimir Veliov is one of them. In the course of his scientific career, he has contributed highly influential research on mathematical aspects of Optimal Control Theory, as well as applications in Economics and Operations Research. One of the hallmarks of his research is its impressive breadth. This volume, published on the occasion of his 65th birthday, accurately reflects that diversity. The mathematical aspects covered include stability theory for difference inclusions, metric regularity, generalized duality theory, the Bolza problem from a functional analytic perspective, and fractional calculus. In turn, the book explores various applications of control theory, such as population dynamics, population economics, epidemiology, optimal growth theory, resource and energy economics, environmental management, and climate change. Further topics include optimal liquidity, dynamics of the firm, and wealth inequality.
Author: Robert Halvorsen Publisher: Edward Elgar Publishing ISBN: 0857937561 Category : Business & Economics Languages : en Pages : 555
Book Description
The topics discussed in the Handbook on the Economics of Natural Resources are essential for those looking to understand how best to use and conserve the resources that form the foundation for human well-being. These include nonrenewable resources, mod
Author: Christopher Costello Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
How will countries harvesting mobile natural resources react to the possibility of regime shift? We address the non-cooperative exploitation of a migratory renewable resource in the presence of possible regime shift that affects its movement. Motivated by the anticipated effects of climate change, we model a regime shift that will alter the spatial movement patterns of the resource at some point in the future. We develop a stochastic spatial bioeconomic model to address the effects of this class of regime shift on non-cooperative harvest decisions made by decentralized owners such as countries exploiting a migratory fish or other natural resource stock. We find that the threat of a future shift modifies the standard “golden rule”, and may induce more aggressive harvest everywhere, irrespective of whether the owner will be advantaged or disadvantaged by the shift. We also identify conditions under which the threat of regime shift induces owners to reduce harvest rates in advance of the shift. Our analysis suggests that different property rights structures (single ownership vs common property) or heterogeneous growth can give rise to previously unexplored incentives and can even reverse conventional wisdom about how countries will react to the prospect of future environmental change.
Author: Stefan Behringer
Author: Stefan Behringer
Author: Stefan Behringer
Author: Takashi Takayama
Author: Thorsten Upmann
Author: Erwin Hendricus Bulte
Author: Sudipto Sarkar
Author: Gustav Feichtinger
Author: Robert Halvorsen
Author: Christopher Costello
Author: Hans G. Daellenbach