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parameter typically fluctuates around zero and group fitness holds about where it
started.
Hamilton’s rule, applied to diploids like us where closest relatedness r absent
inbreeding is %, forbids investment where fitness gained (benefit) is less than twice
fitness given up (cost). I see no escape from the inference that fitness would double
with each generation, or more to account for cases where relatedness fell below ¥Y. |
see no relief in an interpretation, say, that each successive generation cures this
imbalance by investing only half or less of its fitness and letting the rest lapse.
Fitness is likelihood of leaving descendants of equal fitness. It is not strictly
conserved, because likelihood is generally not identical to outcome. There is ex ante
and ex post fitness. But the ex ante kind is meaningless unless potency, in Aristotle’s
terms, is expected to converge to act. Hamilton’s rule should not have escaped this
critique for half a century. It clearly has merit, but needs some different expression.
Such a reformulation might treat rb/c as a maximand within practical constraints.
We can see how it might be by looking at the context. Darwin’s idea is a competition
for breeding success. This biological imperative is a powerful predictor in nature. It
predicts that traits are selected for successful reproduction to the exclusion of all
else. Evidence is impressive. “Semelparous” creatures who breed only once and do
not invest postpartum care, like salmon and soybeans, die within hours. An octopus
mother breeds only once, cares for her young a few weeks, and dies as they disperse.
Nature is on a tight budget. Resources wasted soon become resources lost to
thriftier lineages.
Hamilton saw this. He was right in stressing the role of competition among
individuals and individual heritable traits. Darwin did the same. One thing
Hamilton’s rule leaves out, which is not to claim that he overlooked it, is that traits
and their genes best at prioritizing self-replication might for that reason hurt
chances of achieving it. We know this happens. Human tradition everywhere resists
and punishes nepotism when it crosses a line. Jane Goodall reported the same for
Chapter 7 Petty’s Idea 2/3/16 5
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| Filename | HOUSE_OVERSIGHT_011064.jpg |
| File Size | 0.0 KB |
| OCR Confidence | 85.0% |
| Has Readable Text | Yes |
| Text Length | 2,257 characters |
| Indexed | 2026-02-04T16:12:40.701038 |