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Fish Ecology, Evolution, and ExploitationA New Theoretical Synthesis$
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Ken H. Andersen

Print publication date: 2019

Print ISBN-13: 9780691192956

Published to Princeton Scholarship Online: January 2020

DOI: 10.23943/princeton/9780691192956.001.0001

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Population Dynamics

Population Dynamics

Chapter:
(p.117) Chapter Seven Population Dynamics
Source:
Fish Ecology, Evolution, and Exploitation
Author(s):

Ken H. Andersen

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691192956.003.0007

This chapter considers population dynamics where the population changes over time, owing to environmental noise, fishing, or both. It first derives the population growth rate with various analytic and numeric approximations. Next, the chapter develops a full numerical solution to the McKendrick–von Foerster equations and uses it to create stylized recovery plans. Last, the chapter describes how a fish stock responds to fluctuations in the recruitment. From there, the chapter develops a general understanding of how a fish stock responds to idealized perturbations: a press perturbation and a continuously varying perturbation. It then makes general expectations of the responses to perturbations in general, citing three rules: lag, averaging, and nonmetabolic scaling of population growth rate.

Keywords:   population dynamics, population changes, perturbations, recovery plans, McKendrick–von Foerster equations, recruitment fluctuations

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