SLIDE 3 12/3/2012 3
Indirect Benefits
Hamilton’s rule
r * b > c
r = Relatedness to recipient b = Benefit to recipient c = Cost to actor
Fitness can be gained through acts that increase reproductive output of relatives
Indirect Benefits – an example
r * b > c
r = Relatedness to recipient b = Benefit to recipient c = Cost to actor
Two wasps can either cooperate to rear a nest of found nests separately. If they found nests separately each wasp will have 10 offspring. If they cooperate, the dominance wasp will have 20 offspring and the subordinate will have 5 offspring. Should the subordinate cooperate?
Indirect Benefits – an example
r * b > c
r = Relatedness to recipient b = Benefit to recipient c = Cost to actor
Two wasps can either cooperate to rear a nest of found nests separately. If they found nests separately each wasp will have 10 offspring. If they cooperate, the dominance wasp will have 20 offspring and the subordinate will have 3 offspring. If the two wasps are related by .5 should they cooperate? What about if relatedness is .75?
Indirect Benefits?
Species Relatedness among co-foundresses
39.5%
Queller et al (2001)
50 + 0.06 %
Reeve et al (2000)
64 + 0.06 %
Seppa et al (2002)
67 + 0.04 %
Field et al (1998)
74 + 0.03%
Kudin & Tsuchida (2012)
Percent of offspring attributed to the dominant queen
Reproductive skew in P. fuscatus
Reeve et al 2000
Partitioning of reproduction among foundresses can be complicated! Example from P. carolina
Seppä P et al. Behavioral Ecology 2002;13:531542