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Related Experiment Video

Updated: Sep 14, 2025

Population and Single-Cell Analysis of Antibiotic Persistence in Escherichia coli

Population and Single-Cell Analysis of Antibiotic Persistence in Escherichia coli

Published on: March 24, 2023

Persistence index for harvested populations.

Jerzy A Filar¹, Matthew H Holden¹, Manuela Mendiolar²

¹School of Mathematics and Physics, The University of Queensland, Queensland, Australia.

Mathematical Biosciences

|July 20, 2025

Summary

This summary is machine-generated.

A new measure, lifetime egg production (NEL), helps assess fish stock persistence under harvesting. Higher NEL indicates better fish population survival and recovery potential, aiding sustainable fisheries management.

Keywords:

Age-structured model Beverton–Holt recruitment Fisheries management Persistence Resilience

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Area of Science:

Fisheries Science
Population Ecology
Conservation Biology

Background:

Fish populations face significant threats from human activities and environmental changes.
Effective management strategies are crucial for preventing stock collapse and ensuring species survival.

Purpose of the Study:

Introduce a new, biologically intuitive measure of fish stock persistence: lifetime egg production (NEL).
Evaluate NEL's relationship with existing indices like net reproductive rate and biomass.
Demonstrate NEL's utility in assessing persistence under various harvest policies.

Main Methods:

Defined lifetime egg production (NEL) as a measure of individual fish persistence.
Analyzed the correlation between NEL and other population dynamics indices.
Examined the monotonicity of NEL with respect to harvest survival probabilities.

Main Results:

Lifetime egg production (NEL) demonstrates a positive correlation with harvest survival probabilities.
Unlike the dominant eigenvalue, NEL consistently reflects increased persistence with higher survival.
NEL proves to be a more reliable indicator of persistence than traditional metrics.

Conclusions:

Lifetime egg production (NEL) is a valuable and easily computable index for fisheries managers.
NEL provides a robust measure for assessing fish stock persistence under different harvesting scenarios.
This new metric can significantly improve the effectiveness of fisheries management and conservation efforts.