2000
DOI: 10.1086/303387
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Population Numbers Count: Tools for Near‐Term Demographic Analysis

Abstract: How do unit or proportional changes in vital rates affect populations in the short term? We present a new extension to standard methods of matrix model analysis that allows us to answer this question for the first time. By using the sensitivities of all the eigenvalues/vectors, rather than just the leading eigenvalue/vector pair, we can predict the consequences of unit or proportional changes in vital rates to population size and structure at any arbitrary time, not just when populations have neared their stab… Show more

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Cited by 99 publications
(133 citation statements)
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“…Apart from threeyear olds, the age structure of our captured population was approximately similar to that during Afton's study (1984). While age structure has strong potential to affect scaup demography (Afton 1984) and shortterm population dynamics (Fox and Gurevitch 2000), we do not believe age structure was responsible for the low reproductive success of scaup in 1999 and 2000 at Erickson.…”
Section: Discussionmentioning
confidence: 64%
“…Apart from threeyear olds, the age structure of our captured population was approximately similar to that during Afton's study (1984). While age structure has strong potential to affect scaup demography (Afton 1984) and shortterm population dynamics (Fox and Gurevitch 2000), we do not believe age structure was responsible for the low reproductive success of scaup in 1999 and 2000 at Erickson.…”
Section: Discussionmentioning
confidence: 64%
“…How frequently this assumption is adequately met is unclear (Bierzychudek 1999, Williams et al 2011, as are the implications of deviances from SSD in model applications (Ezard et al 2010, Johnson et al 2010. Consequently, there has been an increasing focus on analyzing the short-term, transient dynamics that result when populations are not at SSD (e.g., Fox and Gurevitch 2000, Caswell 2007, Stott et al 2011. To date, these methods have focused on the effect of a single initial disturbance, or departure from SSD, on a constant, deterministic matrix (e.g., Neubert and Caswell 1997, Caswell 2007, Townley et al 2007, Townley and Hodgson 2008, Stott et al 2010.…”
Section: Introductionmentioning
confidence: 99%
“…Thus, an understanding of the dynamics of populations in variable environments consequently requires an understanding of the transient dynamics (Hastings 2001(Hastings , 2004. This is true both in the short term, when predicting how a population may respond numerically to a particular perturbation, and in the long term, as the perturbations may alter the selection pressures on the life history, leading to evolutionary change (Coale 1972;Benton and Grant 1999b;Fox and Gurevitch 2000;Koons et al 2006;Caswell 2007;Tuljapurkar et al 2009;Ezard et al 2010).…”
Section: Introductionmentioning
confidence: 99%