S. Legendre et al., Demographic stochasticity and social mating system in the process of extinction of small populations: The case of passerines introduced to New Zealand, AM NATURAL, 153(5), 1999, pp. 449-463
Underlying the many causes of extinction of small populations is the random
fate of each constituent individual or, in other words, demographic stocha
sticity. Demographic stochasticity is inherent to any demographic process,
regardless of the environment, and its strength increases as population siz
e gets smaller. In particular, random fluctuations in the proportion of mal
es and females and the: way they pair for reproduction (i.e., the social ma
ting system) are usually neglected. To assess the potential importance of d
emographic stochasticity to the extinction process, a two-sex model with an
explicit mating system was built. Extinction probabilities computed via Mo
nte Carlo simulation were compared to real data, the case of passerines int
roduced to New Zealand a century ago. This minimal model of extinction allo
wed assessment of the importance of the mating system in the colonization p
rocess. Monogamous mating led to a higher extinction risk than did polygyno
us mating. Demographic uncertainty imposes high extinction probabilities on
short-lived bird species as compared to long-lived bird species. Theoretic
al results for two-sex models are provided.