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A theory of stochastic harvesting in stochastic environments

Jonzén, Niclas LU ; Ripa, Jörgen LU and Lundberg, Per LU (2002) In American Naturalist 159(5). p.427-437
Abstract
We investigate how model populations respond to stochastic harvesting in a stochastic environment. In particular, we show that the effects of variable harvesting on the variance in population density and yield depend critically on the autocorrelation of environmental noise and on whether the endogenous dynamics of the population display over- or undercompensation to density. These factors interact in complicated ways; harvesting shifts the slope of the renewal function, and the net effect of this shift will depend on the sign and magnitude of the other influences. For example, when environmental noise exhibits a positive auto correlation, the relative importance of a variable harvest to the variance in density increases with... (More)
We investigate how model populations respond to stochastic harvesting in a stochastic environment. In particular, we show that the effects of variable harvesting on the variance in population density and yield depend critically on the autocorrelation of environmental noise and on whether the endogenous dynamics of the population display over- or undercompensation to density. These factors interact in complicated ways; harvesting shifts the slope of the renewal function, and the net effect of this shift will depend on the sign and magnitude of the other influences. For example, when environmental noise exhibits a positive auto correlation, the relative importance of a variable harvest to the variance in density increases with overcompensation but decreases with undercompensation. For a fixed harvesting level, an increasing level of autocorrelation in environmental noise will decrease the relative variation in population density when overcompensation would otherwise occur. These and other intricate interactions have important ramifications for the interpretation of time series data when no prior knowledge of demographic or environmental details exists, These effects are important whenever the harvesting rate is sufficiently high or variable, conditions likely to occur in many systems, whether the harvesting is caused by commercial exploitation or by any other strong agent of density-independent mortality. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
American Naturalist
volume
159
issue
5
pages
427 - 437
publisher
University of Chicago Press
external identifiers
  • wos:000175302800001
  • scopus:0036231906
ISSN
0003-0147
language
English
LU publication?
yes
id
dcad8935-f6de-46a1-bcbc-4ce266427fbd (old id 147529)
alternative location
http://lup.lub.lu.se/luur?func=downloadFile&fileOId=625136
date added to LUP
2008-09-25 10:25:53
date last changed
2017-09-17 05:04:39
@article{dcad8935-f6de-46a1-bcbc-4ce266427fbd,
  abstract     = {We investigate how model populations respond to stochastic harvesting in a stochastic environment. In particular, we show that the effects of variable harvesting on the variance in population density and yield depend critically on the autocorrelation of environmental noise and on whether the endogenous dynamics of the population display over- or undercompensation to density. These factors interact in complicated ways; harvesting shifts the slope of the renewal function, and the net effect of this shift will depend on the sign and magnitude of the other influences. For example, when environmental noise exhibits a positive auto correlation, the relative importance of a variable harvest to the variance in density increases with overcompensation but decreases with undercompensation. For a fixed harvesting level, an increasing level of autocorrelation in environmental noise will decrease the relative variation in population density when overcompensation would otherwise occur. These and other intricate interactions have important ramifications for the interpretation of time series data when no prior knowledge of demographic or environmental details exists, These effects are important whenever the harvesting rate is sufficiently high or variable, conditions likely to occur in many systems, whether the harvesting is caused by commercial exploitation or by any other strong agent of density-independent mortality.},
  author       = {Jonzén, Niclas and Ripa, Jörgen and Lundberg, Per},
  issn         = {0003-0147},
  language     = {eng},
  number       = {5},
  pages        = {427--437},
  publisher    = {University of Chicago Press},
  series       = {American Naturalist},
  title        = {A theory of stochastic harvesting in stochastic environments},
  volume       = {159},
  year         = {2002},
}