Canonical Equation
Even though the invasion probability is implicit, the derivative used in the Canonical Equation is explicit. The small-mutation limit accelerates time by 1/epsilon squared and uses mutation steps epsilon h. The Canonical Equation remains t…
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Even though the invasion probability is implicit, the derivative used in the Canonical Equation is explicit. The small-mutation limit accelerates time by 1/epsilon squared and uses mutation steps epsilon h. The Canonical Equation remains tractable because the derivative of the implicit extinction probability can be computed explicitly. With small mutation steps, the age-structured TSS converges to an age-dependent Canonical Equation. The Canonical Equation direction is controlled by the directional derivative of the mutant extinction probability.