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Theory and Modern Applications

Table 1 Definition of model variables and parameters, adapted from [ 25 ]

From: Evolutionary consequences of age-specific harvesting: age at first reproduction

Notation

Description

Range of value

Variables

  

\(N_{0}\)

Density of newborn individuals

 

\(N_{1}\)

Density of juvenile individuals

 

\(N_{2}\)

Density of small adult individuals

 

\(N_{3}\)

Density of large adult individuals

 

Parameters

  

γ

Probability of early reproduction

[0,1]

\(f_{2}\)

Per capita annual fecundity of early reproducing individuals at age 2 years old

 

\(f_{3}\)

Per capita annual fecundity of late reproducing individuals at age greater than or equal to 3 years old

 

\(\tilde{f}_{3}\)

Per capita annual fecundity of early reproducing individuals at greater than or equal to 3 years old

 

\(h_{i}\)

Per capita annual harvest proportion of individuals at age i (i = 1,2,3)

[0,1]

c

Proportional reduction is measured by a cost

 

m

Constant that determines how strongly the survival of newborn is adversely affected by density in this age class

 

\(s_{i}\)

Per capita annual survival probabilities of individuals at age i (i = 0,1,2,3)

[0,1]