Population Dynamics: Probabilistic Extinction, Stability, and Explosion Theorems.
Kapitel i bok, 2015

The relation between individual reproduction and the probability that populations die out is given. Populations that decrease on average will, of course, always die out, but populations whose expected sizes grow can also have a high probability of extinction. Malthus's law of exponential growth of populations, i.e., not dying out, holds in general, not only for populations of independently reproducing individuals, but also under some types of interaction. The stable age distribution and general stable composition, appearing as a consequence of exponential growth, are described. Finally, populations whose size and composition may influence individual reproduction are described.

explosion

branching process

growth

extinction

Författare

Peter Jagers

Chalmers, Matematiska vetenskaper, matematisk statistik

Göteborgs universitet

International Encyclopedia of the Social & Behavioral Sciences, 2nd edition, Vol. 18

579-580

Ämneskategorier

Ekologi

Annan samhällsvetenskap

Sannolikhetsteori och statistik

Fundament

Grundläggande vetenskaper

Styrkeområden

Livsvetenskaper och teknik

DOI

10.1016/B978-0-08-097086-8.31006-6

ISBN

9780080970868