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

Taylor's Law (TL) relates the variance to the mean of a random variable viapower law. In ecology it applies to populationsand it is a common empiricalpattern shared among different ecosystems. Measurements give power law exponentto be between 1 and 2, and more often to cluster around 2, whereas theoreticalmodels predict TL exponent can assume any real value. In this paper, adoptingthe framework of multiplicative growth models in a Markovian environment, weinvestigate the possibility of evolutionary strategies to be responsible for TLexponent to be in a finite range. We implement three different strategies theindividuals can follow and for each strategy set two different optimizationinvestment objectives. In all the studied cases we find TL exponent can assumeany real value due to the existence of regions of the model parameters in whichthe exponent can diverge. Furthermore, under natural hypothesis on the dynamicsof the environment, the shapes of these regions do not depend on differentstrategies adopted and nor on the optimization objective. Thus the introductionof strategies dose not affect the range of TL exponent in the model. In ourtheoretical framework rare events are shaping the value of the TL exponent,suggesting, as hinted by previous works, that empirical values may be astatistical artifact following from under sampling.

How do simple evolutionary strategies and investment optimizations affect ecological patterns? The case of generalized Taylor's Law