Skip to main content

On size and extinction: a random walk model predicts the body size of lowest risk for mammals

Burger, Oskar, Ginzburg, Lev (2009) On size and extinction: a random walk model predicts the body size of lowest risk for mammals. Evolutionary Ecology Research, 11 (7). pp. 1017-1029. ISSN 1522-0613. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://www.evolutionary-ecology.com/abstracts/v11/...

Abstract

Question: Is the relationship between extinction risk and size in terrestrial mammals described by a peaked function or a monotonic function? Mathematical method: We develop a population viability analysis model where species take random walks at generational time steps. The model works like the classic gambler’s ruin problem where risky combinations of variance in growth rate, population density, and generation length are eliminated from an evolutionary game. Key assumptions: Our model ignores speciation. It assumes that the population growth rate at evolutionary time scales is zero. It assumes an unbiased random walk. Chronological time is adjusted for generation length, so that longer-lived species make fewer ‘gambles’ in the same period of time. Conclusions: Particular combinations of variance in growth rate and average population density yield an extinction function that predicts a size of lowest relative extinction risk for terrestrial mammals. This size is close to the mode of continental body size distributions (at about 0.1 kg). Generation length is a fundamental evolutionary time scale.

Item Type: Article
Additional information: Unmapped bibliographic data: Y2 - 2016/01/11/11:52:33 [EPrints field already has value set] DA - 2009/// [EPrints field already has value set] LA - English [Field not mapped to EPrints] ST - On size and extinction [Field not mapped to EPrints] J2 - Evol Ecol Res [Field not mapped to EPrints] L2 - http://www.evolutionary-ecology.com/abstracts/v11/2415.html [Field not mapped to EPrints] DP - www.evolutionary-ecology.com [Field not mapped to EPrints]
Uncontrolled keywords: allometry, Damuth rule, generation time, mammal body size distribution, optimal size, population variability, probability of extinction.
Subjects: Q Science
Divisions: Faculties > Social Sciences > School of Anthropology and Conservation > Biological Anthropology
Depositing User: Oskar Burger
Date Deposited: 11 Jan 2016 12:19 UTC
Last Modified: 29 May 2019 16:52 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/53680 (The current URI for this page, for reference purposes)
  • Depositors only (login required):