[bionet.population-bio] Evolution of sex.

xia@cc.helsinki.fi (10/20/90)

               Evolution of Sex: Two-fold Cost?

In discussing evolution of sex, one should start from the
evolution of diploids from haploids. The selective advantage of
diploids over haploids is usually attributed to the covering-up
of deleterious mutations. Thus, the formation of diploid AB from
haploid A and B is favoured.

Diploids are more vulnerable to Muller's ratchet than haploids.
Fitness of diploids will decrease with accumulation of mutation
load.

One potential way for diploids to reduce the mutation load is to
break the diploid AB back into haploid A and haploid B and expose the
deleterious mutations to natural selection instead of covering
them up. But by now haploid A and haploid B from diploid AB have
both accumulated heavy mutation load, and they are far worse
than the haploid A and haploid B BEFORE the formation of AB. If
AB is broken into A and B, then both A and B are likely to
perish with no fitness return.

The only way to solve the problem is recombination.
Recombination results in some A haploids and some B haploids
with extremely heavy mutation load, but also some A and B
haploids with little mutation load. By exposing these haploids
to natural selection, those with heavy mutation load will be
eliminated and the remaining haploids will produce many haploid
gametes to form diploids. As a consequence, these resulting
diploids have little mutation load and therefore high fitness.
This is the selective advantage of the so-called "alternation of
generation" observed in lower organisms. Alternation of
generation cannot evolve without recombination.

A huge number of haploids are required for the purpose of
producing a few haploids with little mutation load from a
diploid with heavy mutation load by recombination. Therefore,
sex (recombination) at the beginning must be associated with
production of large number of haploids (gametes), many of which
are produced to perish with no fitness return. (In this sense,
the cost of sex is far more than two-fold.)

At first sight, this alternation of generation with
recombination (A.G.R.) seems to be a good solution for early
organisms, which now can enjoy the benefit of a diploid in
covering up deleterious mutations while remain free from the
working of Muller's ratchet.

But individuals with this A.G.R. is also very susceptible to
exploitation by other individuals. Suppose a population of
diploid individuals that produce haploids at time T. 
Mortality is 90% per unit time. At time
T+1, only 10% of haploids still survive. At time T+2, only 1% of
haploids still survive. These 1% haploids then produce haploid
gametes to form diploids. 

Now one mutation, say D, makes a diploid to delay its production
of haploids by one time unit. Instead of producing haploids at
time T, it produces haploids at time T+1. By time T+2, it still
has 10% of its haploids survive. These haploids, not yet
thoroughly purged by natural selection, then produce haploid
gametes to form diploids NOT among themselves, but between them
and those gametes produced by the "wild type". This selfish
mutation D will then spread with the consequence that haploid
life stage becomes shorter and shorter. 

(Thus, those organisms with prolonged haploid stage must guard
themselves against this kind of exploitation by selfing. I hope
that it should be clear by now that sex is by no means a
masterpiece of nature. It is in fact something quite clumsy
because, to take the full advantage of being a diploid, i.e.,
the advantage of covering-up deleterious mutations, the sexual
organism should avoid selfing)

(To be continued)

Xuhua