Hi Alec,
I’d like to discuss the paper by Hawks et al. (2000) at
mbe.oxfordjournals.org/cgi/content/full/17/1/2 . I consider it to be important for two reasons.
First, it makes a good case for the sudden emergence of
Homo erectus in the fossil record. Given the abrupt anatomical changes involved, this
could have been a case of divinely guided evolution.
Second, the modesty of Hawks’ language is evident throughout the paper:
We have no way of directly estimating with any certainty the size of the human species immediately after the bottleneck
at its origin…
…Because we must base our interpretations on the present pattern of genetic diversity, which is a product of multiple competing demographic and selective forces,
our choices about which factors are important will influence our conclusions and may render them inaccurate at best or meaningless at worst…
…studies of microsatellites
contradict each other in several ways…
For these reasons, we conclude that in practice the long-term average Ne [effective population size] for the human species, even if it could be validly determined,
cannot be taken as an estimate of actual past population sizes.
A population size bottleneck early in the evolution of the *H. sapiens *lineage, perhaps at its origin some 2 MYA [million years ago], has significant explanatory power in resolving some of the **contradictions between different sources of data **addressing past human population size…
The limited amount of genetic variation reflected by this small Ne [effective population size]implies that
ancient population size changes, predating 1 Myr, will be difficult to detect using genetic methods…
If we do not assume neutrality, these [autosomal] loci do not give us information about past population size.
All emphases are mine.
You then fault me for not quoting this excerpt:
As it turns out, retention of a large number of ancestral HLA alleles precludes effective population sizes of much less than 1,000 at any particular point in time during human prehistory (Ayala 1995 ; Ayala and Escalante 1996 ; Takahata and Satta 1998 ). This minimum bottleneck number, 1,000, also seems to be the minimum effective population size compatible with the maintenance of species viability and adaptability (Lande 1995 ).
*Mea culpa, mea maxima culpa. *Actually, I didn’t quote it, for two reasons:
(i) the preceding quotes from Hawks et al. give a sample of the massive uncertainties involved in population modeling for two million years ago, as well as the sometimes questionable assumptions that have to be made;
(ii) the excerpt doesn’t talk about *actual *(i.e. census) population sizes, which is what I’m interested in, but
effective ones instead.
Regarding Ayala’s 1994 paper at
pnas.org/content/91/15/6787.full.pdf+html , allow me to quote a brief excerpt from p. 6791 - the notes accompanying Table 1, which lists the minimum size of the bottleneck:
The two columns on the right give the minimum number of individuals required for passing either 40 (out of 50) or 60 (out of 70) alleles, with a 95% probability. The initial bottleneck is always 10 generations. In some cases it is assumed that the population grows at a rate R per generation before reaching the equilibrium size N.
I have to say that this kind of argument leaves me cold. For what I want to know, in plain layperson’s English, is this: how small could the founding population of the human race have been,
without requiring a miracle (i.e. an actual violation of the laws of nature) to keep it from dying out?
Improbable occurrences don’t bother me. Improbable events happen all the time. Just look at the origin of life. Accepting the massive improbability of abiogenesis while rejecting a founding population of less than 458-490 individuals for the human race because of some 95% probability cutoff strikes me as a case of straining at gnats and swallowing camels.
The other assumptions Ayala makes (no. of generations in the bottleneck; growth rate) don’t seem to be based on any laws of nature, either statistical or absolute. The numbers he uses for his growth rates are simply based on observations. But an observation, or even a set of observations, is not a law. So I can’t share his overweening confidence about the size of human populations in time past.
Here’s an illustration. All the lumps of gold I’ve ever seen have a volume of less than one cubic kilometer. That’s an observation. However, there’s no law saying they must be. The situation is different with lumps of uranium. Here, there is a law, because we know uranium has a critical mass.
I’m not a scientist, but I do know the meaning of these simple words:
impossible, possible, improbable, probable. That’s how I think.
Perhaps I’m uncommonly dense, but I certainly don’t see anything in Ayala’s paper showing that a small founding population of less than 100 individuals, 2 million years ago, for the human race, would be impossible. Improbable? Well, OK. But how improbable? Please, give me a number. If we’re talking astronomically improbable (say, 10^-30), then I guess I’d accept that as equivalent to impossible, for practical purposes.
One last thing, Alec. I believe your Ph.D. is in physics, right? I cited two authorities - Dr. Norman Nevin (a Professor Emeritus of Medical Genetics) and Dr. Jonathan Wells (who has a PhD in Molecular and Cell Biology from UC Berkeley) - who believe that
monogenism is scientifically possible in the case of the human race. I have no idea what their scientific reasons are, but that’s what they believe. Dare I say that their biology credentials exceed your own. Has it ever occurred to you that there may be something they know, that you do not?
Best wishes,
Vincent Torley