Family-size variability grows with collapse rate in a birth-death-catastrophe model

N. Dori, H. Behar, H. Brot, Y. Louzoun

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Forest-fire and avalanche models support the notion that frequent catastrophes prevent the growth of very large populations and as such, prevent rare large-scale catastrophes. We show that this notion is not universal. A new model class leads to a paradigm shift in the influence of catastrophes on the family-size distribution of subpopulations. We study a simple population dynamics model where individuals, as well as a whole family, may die with a constant probability, accompanied by a logistic population growth model. We compute the characteristics of the family-size distribution in steady state and the phase diagram of the steady-state distribution and show that the family and catastrophe size variances increase with the catastrophe frequency, which is the opposite of common intuition. Frequent catastrophes are balanced by a larger net-growth rate in surviving families, leading to the exponential growth of these families. When the catastrophe rate is further increased, a second phase transition to extinction occurs when the rate of new family creations is lower than their destruction rate by catastrophes.

Original languageEnglish
Article number012416
JournalPhysical Review E
Issue number1
StatePublished - 30 Jul 2018

Bibliographical note

Publisher Copyright:
© 2018 American Physical Society.


Dive into the research topics of 'Family-size variability grows with collapse rate in a birth-death-catastrophe model'. Together they form a unique fingerprint.

Cite this