English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Population dynamics reflects an underlying birth-death process, where therates associated with different events may depend on external environmentalconditions and on the population density. A whole family of simple and populardeterministic models (like logistic growth) support a transcritical bifurcationpoint between an extinction phase and an active phase. Here we provide acomprehensive analysis of the phases of that system, taking into account boththe endogenous demographic noise (random birth and death events) and the effectof environmental stochasticity that causes variations in birth and death rates.Three phases are identified: in the inactive phase the mean time to extinction$T$ is independent of the carrying capacity $N$, and scales logarithmicallywith the initial population size. In the power-law phase $T \sim N^q$ and theexponential phase $T \sim exp(\alpha N)$. All three phases and the transitionsbetween them are studied in detail. The breakdown of the continuumapproximation is identified inside the power-law phase, and the accompaniedchanges in decline modes are analyzed. The applicability of the emergingpicture to the analysis of ecological timeseries and to the management ofconservation efforts is briefly discussed.

A comprehensive phase diagram for logistic populations in fluctuating environment