Forcing anomalous scaling on demographic fluctuations

TL;DR

This paper explores how populations with anomalous diffusion exhibit demographic fluctuations that also scale anomalously, analyzing conditions and providing examples with Gaussian diffusion and Lévy flights.

Contribution

It introduces conditions for anomalous demographic scaling and demonstrates this with models involving Gaussian diffusion and Lévy flights.

Findings

Demographic fluctuations can scale anomalously under certain conditions.

Gaussian diffusion and Lévy flights serve as examples of anomalous scaling.

The study clarifies the relationship between individual movement patterns and population-level fluctuations.

Abstract

We discuss the conditions under which a population of anomalously diffusing individuals can be characterized by demographic fluctuations that are anomalously scaling themselves. Two examples are provided in the case of individuals migrating by Gaussian diffusion, and by a sequence of L\'evy flights.