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Density Dependence Triggers Runaway Selection of Reduced Senescence

Figure 2

Graphs of R(x) as Functions of the Senescence Variable x for Various Initial Recruitment Functions b0(x)

Graphs of b0(x) are shown in the inset panels.

(A) As in Equation 14 with C = 1 and D = μ. In this case, R(x) is monotonically decreasing in x, and the evolutionary optimum is at the nonsenescent state x = 0.

(B) As in Equation 14 with C = 8 and D = μ. In this case, R(x) has a minimum at a positive value of x.

(C) As in Equation 14 with C = 20 and D = μ. In this case, R(x) is monotonically increasing, and the evolutionary optimum is the most extreme compressed life history, x = ∞.

(D) A recruitment function not in the class of Equation 14: . In all cases, ω0 = 1, μ = μ0 + g = 0.1, and R0 = ω0/μ, R = κCω0 with .

Figure 2

doi: https://doi.org/10.1371/journal.pcbi.0030256.g002