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A framework for studying transient dynamics of population projection matrix models
Author(s) -
Stott Iain,
Townley Stuart,
Hodgson David James
Publication year - 2011
Publication title -
ecology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 6.852
H-Index - 265
eISSN - 1461-0248
pISSN - 1461-023X
DOI - 10.1111/j.1461-0248.2011.01659.x
Subject(s) - transient (computer programming) , population , computer science , leslie matrix , econometrics , term (time) , projection (relational algebra) , statistical physics , mathematics , physics , algorithm , demography , sociology , operating system , quantum mechanics
Ecology Letters (2011) 14 : 959–970 Abstract Empirical models are central to effective conservation and population management, and should be predictive of real‐world dynamics. Available modelling methods are diverse, but analysis usually focuses on long‐term dynamics that are unable to describe the complicated short‐term time series that can arise even from simple models following ecological disturbances or perturbations. Recent interest in such transient dynamics has led to diverse methodologies for their quantification in density‐independent, time‐invariant population projection matrix (PPM) models, but the fragmented nature of this literature has stifled the widespread analysis of transients. We review the literature on transient analyses of linear PPM models and synthesise a coherent framework. We promote the use of standardised indices, and categorise indices according to their focus on either convergence times or transient population density, and on either transient bounds or case‐specific transient dynamics. We use a large database of empirical PPM models to explore relationships between indices of transient dynamics. This analysis promotes the use of population inertia as a simple, versatile and informative predictor of transient population density, but criticises the utility of established indices of convergence times. Our findings should guide further development of analyses of transient population dynamics using PPMs or other empirical modelling techniques.