A theory of stochastic harvesting in stochastic environments

The American Naturalist
Niclas JonzénPer Lundberg

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 autocorrelation, 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 o...Continue Reading

References

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Citations

Apr 13, 2011·Proceedings of the National Academy of Sciences of the United States of America·Andrew O Shelton, Marc Mangel
Jul 20, 2013·Ecological Applications : a Publication of the Ecological Society of America·Anna GårdmarkChristian Möllmann
Aug 13, 2011·Ecological Applications : a Publication of the Ecological Society of America·Orou G GaoueTamara Ticktin
Jan 10, 2012·Theoretical Population Biology·Anders WikströmNiclas Jonzén
Nov 22, 2008·The Journal of Animal Ecology·Nils BunnefeldE J Milner-Gulland
May 21, 2011·The Journal of Animal Ecology·Nils BunnefeldE J Milner-Gulland
Aug 14, 2009·The Journal of Animal Ecology·Niclas JonzénMartin Sköld
Nov 5, 2014·PloS One·Noél Michael André HolmgrenSakari Kuikka
Apr 19, 2008·Nature·Christian N K AndersonGeorge Sugihara

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