Erratum et addendum: transient amplification and attenuation in stage-structured population dynamics
Article first published online: 13 OCT 2008
© 2008 The Authors. Journal compilation © 2008 British Ecological Society
Journal of Applied Ecology
Volume 45, Issue 6, pages 1836–1839, December 2008
How to Cite
Townley, S. and Hodgson, D. J. (2008), Erratum et addendum: transient amplification and attenuation in stage-structured population dynamics. Journal of Applied Ecology, 45: 1836–1839. doi: 10.1111/j.1365-2664.2008.01562.x
- Issue published online: 21 OCT 2008
- Article first published online: 13 OCT 2008
- Received 28 March 2008; accepted 17 August 2008; Handling Editor: Rob Freckleton
- projection matrix;
- population dynamics;
- Kreiss bound
- 1Not all members of natural populations contribute equally to population growth or decline. Populations that are disturbed away from stable stage structure will amplify (i.e. get bigger than expected) and/or attenuate (i.e. get smaller than expected) in the short term.
- 2We provide mathematical bounds for the magnitude of this amplification and attenuation, both in terms of absolute population change and population change relative to the long-term rate of population increase.
- 3Our results correct an important error in an earlier analysis of transient population amplification, and provide new transient bounds for the analysis of population attenuation.
- 4Synthesis and applications. Bounds on transient amplification and attenuation help population managers to gauge ‘worst case’ and ‘best case’ scenarios for the response of stage-structured populations to disturbance and management strategies. Such bounds help to create an envelope of possible future population scenarios around the mean, long-term predictions made by eigenvalues and eigenvectors of projection matrix models. Transient amplification, caused by stage structures biased towards reactive life stages, may be exploited by conservation managers wishing to boost population densities in the short term and may be avoided in pest species by stage-specific control strategies. Similarly, transient attenuation should be avoided by conservation managers and exploited by pest managers.