Collective observables in repeated experiments of population dynamics

TL;DR

This paper examines how ensemble averages of population dynamics, specifically in logistic models, relate to individual experiment outcomes, highlighting the importance of collective observables through theoretical and numerical analysis.

Contribution

It clarifies the role of ensemble averages in population dynamics experiments and compares theoretical predictions with numerical simulations for logistic models.

Findings

Ensemble averages provide key insights into population behavior.

Theoretical predictions align with numerical simulations.

Collective observables are crucial for understanding population dynamics.

Abstract

We here discuss the outcome of an hypothetic experiments of populations dynamics, where a set of independent realizations is made available. The importance of ensemble average is clarified with reference to the registered time evolution of key collective indicators. The problem is here tackled for the logistic case study. Theoretical prediction are compared to numerical simulations.