City Research Online

The Effects of Random and Seasonal Environmental Fluctuations on Optimal Harvesting and Stocking

Hening, A., Tran, K. Q. and Ungureanu, S. ORCID: 0000-0002-3707-4738 (2021). The Effects of Random and Seasonal Environmental Fluctuations on Optimal Harvesting and Stocking (21/05). London, UK: Department of Economics, City, University of London.

Abstract

Abstract. We analyze the harvesting and stocking of a population that is affected by random and seasonal environmental fluctuations. The main novlty comes from having three layers of environmental fluctuations. The first layer is due to the environment switching at random times between different environmental states. This is similar to having sudden environmental changes or catastrophes. The second layer is due to seasonal variation, where there is a significant change in the dynamics between seasons. Finally, the third layer is due to the constant presence of environmental stochasticity|between the seasonal or random regime switches, the species is affected by fluctuations which can be modelled by white noise. This framework is more realistic because it can capture both significant random and deterministic environmental shifts as well as small and frequent uctuations in abiotic factors. Our framework also allows for the price or cost of harvesting to change deterministically and stochastically, something that is more realistic from an economic point of view.

The combined effects of seasonal and random fluctuations make it impossible to find the optimal harvesting-stocking strategy analytically. We get around this roadblock by developing rigorous numerical approximations and proving that they converge to the optimal harvesting-stocking strategy. We apply our methods to multiple population models and explore how prices, or costs, and environmental fluctuations in uence the optimal harvesting-stocking strategy. We show that in many situations the optimal way of harvesting and stocking is not of threshold type.

Publication Type: Monograph (Discussion Paper)
Additional Information: Copyright, the authors, 2021.
Subjects: G Geography. Anthropology. Recreation > GE Environmental Sciences
H Social Sciences > HC Economic History and Conditions
Departments: School of Arts & Social Sciences > Economics
School of Arts & Social Sciences > Economics > Discussion Paper Series
Date available in CRO: 18 Oct 2021 10:13
Date deposited: 18 October 2021
Date of first online publication: 2021
URI: https://openaccess.city.ac.uk/id/eprint/26919
[img]
Preview
Text - Published Version
Download (14MB) | Preview

Export

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login