Harvesting a remote renewable resource

Upmann T, Behringer S (2020)
Theoretical Ecology 13(4): 459-480.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Upmann, ThorstenUniBi ; Behringer, Stefan
Abstract / Bemerkung
**Abstract**
In standard models of spatial harvesting, a resource is distributed over a continuous domain with an agent who may harvest everywhere all the time. For some cases though (e.g., fruits, mushrooms, algae), it is more realistic to assume that the resource is located at a fixed point within that domain so that an agent has to travel in order to be able to harvest. This creates a combined travelling–and–harvesting problem where slower travel implies a lower travelling cost and, due to a later arrival, a higher abundance of the resource at the beginning of the harvesting period; this, though, has to be traded off against less time left for harvesting, given a fixed planning horizon. Possible bounds on the controls render the problem even more intricate. We scrutinise this bioeconomic setting using a two-stage optimal control approach, and find that the agent economises on the travelling cost and thus avoids to arrive at the location of the resource too early. More specifically, the agent adjusts the travelling time so as to be able to harvest with maximum intensity at the beginning and the end of the harvesting period, but may also find it optimal to harvest at a sustainable level, where the harvesting and the growth rate of the stock coincide, in an intermediate time interval.
Erscheinungsjahr
2020
Zeitschriftentitel
Theoretical Ecology
Band
13
Ausgabe
4
Seite(n)
459-480
ISSN
1874-1738
eISSN
1874-1746
Page URI
https://pub.uni-bielefeld.de/record/2958438

Zitieren

Upmann T, Behringer S. Harvesting a remote renewable resource. Theoretical Ecology. 2020;13(4):459-480.
Upmann, T., & Behringer, S. (2020). Harvesting a remote renewable resource. Theoretical Ecology, 13(4), 459-480. https://doi.org/10.1007/s12080-020-00453-y
Upmann, T., and Behringer, S. (2020). Harvesting a remote renewable resource. Theoretical Ecology 13, 459-480.
Upmann, T., & Behringer, S., 2020. Harvesting a remote renewable resource. Theoretical Ecology, 13(4), p 459-480.
T. Upmann and S. Behringer, “Harvesting a remote renewable resource”, Theoretical Ecology, vol. 13, 2020, pp. 459-480.
Upmann, T., Behringer, S.: Harvesting a remote renewable resource. Theoretical Ecology. 13, 459-480 (2020).
Upmann, Thorsten, and Behringer, Stefan. “Harvesting a remote renewable resource”. Theoretical Ecology 13.4 (2020): 459-480.

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