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Generation Time in Structured Populations

Authors: Stephen P, Ellner;

Generation Time in Structured Populations

Abstract

Generation time is an intuitively simple concept, but for structured populations there are multiple definitions and no general understanding of how they relate to each other. François Bienvenu and Stéphane Legendre, in their note "A New Approach to the Generation Time in Matrix Population Models," appearing in the June 2015 issue of The American Naturalist, introduced a new measure of generation time Ta, the average time between birth events in an ancestral lineage, and derived the remarkably simple formula [Formula: see text] for any matrix model, where F is the fecundity matrix, v is reproductive value, and w is stable population structure. Here I generalize their formula and interpretations of Ta to a continuous or continuous-discrete population structure and derive similar formulas for three other established generation time measures: average parent age across all births at one time ([Formula: see text]) and mean parent age at birth events for a cohort (μ1) or generation (Tc). The new formulas reveal that these differently defined measures are unexpectedly often identical in value and clarify when they differ.

Related Organizations
Keywords

Parents, Animals, Life History Traits, Models, Biological

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Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Average
Average
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