📄 Extracted Text (365 words)
From:
Sent: Wednesday, November 27, 2013 12:25 AM
To: Gordon Gettv
Cc: Alan Rogers; Robert Frank; Jeffrey Epstein
Subject: degree of r and age
Dear Gordon
I very much like your slimmed down version of Hamilton/Fisher. Certainly collapsing the main equation by N=1 is
obvious. Somewhat less so is the matter of defining a benefit (B) i.e. an increase in reproductive success, as a change in
one's reproductive value, which seems like a more permanent character. In one sense yes: it has just gone up, but does
the general, let us say declining in older people rule, still not apply?—and is it bumped throughout by the same benefit
recently transferred ?
When I explicitly set out to build a theory of the family I knew the key variables were degree of relatedness, sex and
age—yet I never reached a proper synthesis with the latter.
Here I would trust Alan Rogers more than myself; likewise, David Haig has contributed the following, which also
references Alan:
Ronald Lee has developed a model of intergenerational transfers that has some interesting properties. The problem is
that his model is implicitly one of clonal asexual reproduction (r = 1 for all transfers among individuals). I am not sure
whether anyone has achieved a general model for transfers among relatives which is what Gordon is working at.
Lee, R. (2008) Sociality, selection, and survival: simulated evolution of mortality with intergenerational transfers and
food sharing. Proceedings of the National Academy of Sciences, USA 105: 7124-7128.
Lee, R. D. (2003) Rethinking the evolutionary theory of aging: transfers, not births, shape senescence in social species.
Proceedings of the National Academy of Sciences, USA 100: 9637-9642.
and Alan Rogers has a commentary:
Rogers, A. R. (2003) Economics and the evolution of life histories.
Proceedings of
the National Academy of Sciences, USA 100: 9114-9115.
Note absence of parent-offspring conflict.
I will write you later re your very interesting piece on discounting. I am copying David on all this
warmest best
bob
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