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has to do with original concessions skew model and Hamilton's rule.
S - pG < r[(1-p)G-L] ---- model
P = [s-r(G-L)]/[G(1-r)] ------ staying incentive
L = Lone dominant productivity
G = Group Productivity
p = Subordinate Share
S = Lone subordinate productivity
The Problem
#1 (I have solved this)
The concessions model of reproductive skew assumes that a dominant female will yield a minimum share (p) of group offspring (G) so that the inclusive fitness of a subordinate female that stays is just equal to the inclusive fitness of a subordinate female that leaves. Let's assume that when the subordinate female leaves she produces (S) offspring and the dominant produces (L) offspring.
When S = 2L and G = 5L what share (p) of group offspring will the dominant have to yield to the subordinate to keep her from leaving? Assume that these two females are diploid mammals that are also half sisters (relatedness = .25)
p = 2L-.25(5L-L) / 5L (1-.25)
p = .266
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Problem 2 (having trouble)
Now assume (for the same values of S = 2L and G = 5L) that the dominant has lost her ability to control reproduction such that the subordinate can take as much reproduction (p) as she desires. Solve for the maximum value of p that will be tolerated by the dominant before she kicks out the subordinate (i.e. the inclusive fitness of the lone dominant is equal to keeping the subordinate in the group).
- I am having trouble reworking the equation to solve for this if that is even what I am supposed to do. I don't know how to tie in the inclusive fitness of the lone dominant
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Daut  United States. May 18 2009 23:59. Posts 8955 | | | |
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| NewbSaibot: 18 TIMES THE SPEED OF LIGHT. Because FUCK YOU, Daut | |
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i tried it out didn't look like they had this yet but i got it by switching the sides of the relatedness in the original equation.
got .933 hope its right |
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was my dads homework made 30 bucks figuring it out! |
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Daut United States. May 19 2009 00:48. Posts 8955 | | |
ya im just being really lazy ive done a lot of stuff with predator/prey systems and interrelationship stuff in differential equations and im sure i could solve this but ill just assume you got it down |
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| NewbSaibot: 18 TIMES THE SPEED OF LIGHT. Because FUCK YOU, Daut | Last edit: 19/05/2009 00:48 |
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zodion Germany. May 29 2009 00:16. Posts 260 | | | |
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