Mixed-ligand stability constants of divalent metal ions with glycine
Evolutionary Stability. Mixed strategy dynamics.
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Transcript of Evolutionary Stability. Mixed strategy dynamics.
Mixed strategy dynamics
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spanning strategies pure typesfar, so
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Mixed strategy dynamics
payoff, )()(
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Sex ratio
other sex-determining mechanismsmealy bug: if mating immediately 102:100after 6 weeks 181:100
Sex ratio
other sex-determining mechanismsmealy bug: if mating immediately 102:100after 6 weeks 181:100after 10 weeks 991:100
Sex ratio
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Sex ratio
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Sex ratio
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Mixed strategy dynamics
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Mixed strategy dynamics
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population of state
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Mixed strategy dynamics
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population of state
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Evolutionarily stable strategies
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invader offrequency if
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Evolutionarily stable strategies
attractor 0 invasion no
)]ˆˆˆ)(1()ˆ()[1(
invader offrequency if
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Evolutionarily stable strategies
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ˆ then equality, if (b)
and Nash) ˆ( ˆˆˆ (a)
iff ESS ˆ hence
attractor 0 invasion no
)]ˆˆˆ)(1()ˆ()[1(
invader offrequency if
residentˆ invadecan minority no if ESS ˆ
Evolutionarily stable strategies
!converselynot but
equ. replicatorfor attractor ˆ ESS ˆ
by-close ˆfor ˆ iff ESS ˆ
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Evolutionarily stable strategies
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equ. replicatorfor attractor ˆ ESS ˆ
by-close ˆfor ˆ iff ESS ˆ
Adaptive dynamics
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all s,homogeneou pop.resident
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Adaptive dynamics
limited)-(mutation sequenceon substitutitrait
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Adaptive dynamics
direction favorable towardspoints
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all s,homogeneou pop.resident
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Adaptive dynamics
)ˆ(),( if stable-econvergenc ˆ
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),0(
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Adaptive dynamics
ESS toeconvergenc ... ratio-sex Chicken,for
)ˆ(),( if stable-econvergenc ˆ
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),0(
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Adaptive dynamics
le!unattainab becan ESSan but
ESS toeconvergenc ... ratio-sex Chicken,for
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),0(
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Adaptive dynamics
points branching
le!unattainab becan ESSan but
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Population Genetics
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Population Genetics
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Population Genetics
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populationMendelian
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Population Genetics
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