To: Jeffrey EpsteinUeevacationagmail.comj
Cc: Alan Roge
From: Gordon Get i
Sent: Tue 11/26/2013 8:58:54 PM
Subject.• Re:
Sounds right.
On Nov 26, 2013, at 2:39, Jeffrey Epstein leevacation@gmail.com> wrote:
my funded attack on indiv fitness
On Mon, Nov 25, 2013 at 6:48 PM, Alan Rogers wrote:
My paper was about the evolution of menopause. George Williams had argued
years before that as women age, the risk of childbirth mortality increases.
Eventually, that risk outweighs the potential fitness gain from another child. My
paper showed that this doesn't work--the risk of childbirth mortality is too low. I
saw more promise in a hypothesis having to do with opportunity cost. To do
these calculations, I needed an age-structured theory of kin selection with a time
delay between the investment (forgone pregnancy) and the return on that
investment (ability to care for one's previous children). So the model had
economic pretensions, and I eventually used it to study the evolution of time
preference. It was the time preference work that brought me into contact with
Gordon G.
Alan
On Mon, Nov 25, 2013 at 2:20 PM, Jeffrey Epstein leevacation@gmail.com> wrote:
risk of death in childbirth?
On Mon, Nov 25, 2013 at 5:05 PM, Alan Rogers ote:
Charlesworth and Chamov published an age-structured theory of kin selection
in 1981 (JTB 88:103) and Taylor and Frank did it a different way in 1996 (JTB
180:27). I added time delays to the Charlesworth-Chamov model in 1993
(Evollutionary Ecology 7:406). These models all grow out of the ideas that
Hamilton introduced in his "Moulding of senescence" paper in 1966. But
Hamilton 1966 didn't do kin selection. He did however argue that reproductive
value is not the right way to formulate the problem. His model (and also those
mentioned above) use the numerator of reproductive value, but the
normalization is different. To put this differently, the reproductive value at age
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x needs to be weighted by I_x, the probability of surviving to that age. This
weighting is missing from the formulation directly in terms of reproductive
value.
Alan
2013/11/25 Gordon Getty
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The information contained in this communication is
confidential, may be attorney-client privileged, may
constitute inside information, and is intended only for
the use of the addressee. It is the property of
Jeffrey Epstein
Unauthorized use, disclosure or copying of this
communication or any part thereof is strictly prohibited
and may be unlawful. If you have received this
communication in error, please notify us immediately by
return e-mail or by e-mail to jeevacationegmail.com and
destroy this communication and all copies thereof,
including all attachments. copyright -all rights reserved
<PNAS13.pdf,
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