Well, let's see what we have here.
The first sentence from your link reads:
"It comes as a surprise to most people to hear that there is abundant
evidence that the entire human race came from two people just a few
thousand years ago (Adam and Eve), that there was a serious population
crash (bottleneck) in the recent past (at the time of the Flood), and
that there was a single dispersal of people across the world after that
(the Tower of Babel)."
This cites a 2003 article in the Journal of Creation[1], which in turn
cites Dorit et al. Science 1995[2], and after quoting Dorit Nelson states
"These results are quite consistent with a recent human origin and a
global flood.".
Dorit's abstract reads:
"DNA polymorphism in the Y chromosome, examined at a 729-base pair intron
located immediately upstream of the ZFY zinc-finger exon, revealed no
sequence variation in a worldwide sample of 38 human males. This finding
cannot be explained by global constraint on the intron sequence, because
interspecific comparisons with other nonhuman primates revealed
phylogenetically informative sequence changes. The invariance likely
results from either a recent selective sweep, a recent origin for modern
Homo sapiens, recurrent male population bottlenecks, or historically
small effective male population sizes. A coalescence model predicts an
expected time to a most recent common ancestral male lineage of 270,000
years (95 percent confidence limits: 0 to 800,000 years)."
So you might be a little surprised that Dr. Robert W. Carter approvingly
cites C. W. Nelson who approvingly cites R. L. Dorit, who thinks our most
recent common ancestral male ancestor lived 270,000 years ago.
Nelson then goes on to quote Reich et al Nature 2001, allowing Nelson to
conclude "This study concluded with the possibility that 50 individuals
may have founded the entire population of Europe. This evidence is also
quite consistent with a historical global flood." Here is the abstract
of Reich:
"With the availability of a dense genome-wide map of single nucleotide
polymorphisms (SNPs)1, a central issue in human genetics is whether it is
now possible to use linkage disequilibrium (LD) to map genes that cause
disease. LD refers to correlations among neighbouring alleles, reflecting
'haplotypes' descended from single, ancestral chromosomes. The size of LD
blocks has been the subject of considerable debate. Computer simulations2
and empirical data3 have suggested that LD extends only a few kilobases
(kb) around common SNPs, whereas other data have suggested that it can
extend much further, in some cases greater than 100 kb4, 5, 6. It has
been difficult to obtain a systematic picture of LD because past studies
have been based on only a few (1–3) loci and different populations. Here,
we report a large-scale experiment using a uniform protocol to examine 19
randomly selected genomic regions. LD in a United States population of
north-European descent typically extends 60 kb from common alleles,
implying that LD mapping is likely to be practical in this population. By
contrast, LD in a Nigerian population extends markedly less far. The
results illuminate human history, suggesting that LD in northern
Europeans is shaped by a marked demographic event about 27,000–53,000
years ago."
Before your eyes began to glaze over, did you notice the bit about the
Nigerian population data? If not, go back and read that abstract again.
Quoting from the Reich article (it's paywalled, ping me if you'd like a
copy):
"The short extent of LD in Nigerians is more consistent with the
predictions of a computer simulation study assuming asimple model of
population expansion."
In smaller words, the population bottleneck was not observed in the
Nigerian population. Why? Quoting again from Reich (citations omitted):
"What was the nature of the population event that created the
long-range LD? The event could be specific to northern Europe,
which was substantially depopulated during the Last Glacial Maximum
(30,000±15,000 years ago), and subsequently recolonized by a small number
of founders. Alternatively, the long-range LD could be due to a severe
bottleneck that occurred during the founding of Europe or during the
dispersal of anatomically modern humans from Africa (the proposed `Out of
Africa' event) as recently as 50,000 years ago. Under the first
hypothesis, the strong LD at distances >= 40 kb would be absent in
populations not descended from northern Europeans. Under the second
hypothesis, the same pattern of long-range LD could be observed in a
variety of non-African populations. Regardless of the timing and context
of the bottleneck, the severity of the event (in terms of inbreeding) can
be assessed from our data. To have a strong effect on LD, a substantial
proportion of the modern population would have to be derived from a
population that had experienced an event leading to an inbreeding
coefficient of at least F = 0.2 (Fig. 3). This corresponds to an
effective population size (typically less than the true population size)
of 50 individuals for 20 generations; 1,000 individuals for 400
generations; or any other combination with the same ratio."
Neat, huh? Not much support for a worldwide flood, though (assuming your
world is larger than Europe and includes Africa).
So, what are we to make of C. W. Nelson? There comes a point where
incompetence is so gross that I'm not able to distinguish it from lying,
and Mr. Nelson has long blown past that point.
An honest approach would have looked at how coalescent theory is applied
to multiple species, not just humans. Doing so would have found
population bottlenecks as far back as the technique can reach but no
common date to a worldwide flood. This is more than sufficient to lay to
rest the idea of such a flood. Nelson could have written that article;
he chose not to do so.
To answer your question: the very research Nelson and Carter cite in
support of their work only does so if you believe their summary of that
research. Read it yourself. If you find an article is paywalled, post a
request here and you may find a pdf if your inbox.
[1] C. W. Nelson, "Genetics and Biblical demographic events", TJ 17(1):21–
23, April 2003.
http://creation.com/genetics-and-biblical-demographic-events
[2] Dorit, R.L., Akashi, H. and Gilbert, W., Absence of polymorphism at
the ZFY locus on the human Y chromosome, Science 268(5214):1183–1185, 1995
http://www.sciencemag.org/content/268/5214/1183
[3] Reich, D.E., Cargill, M., Bolk, S., Ireland, J., Sabeti, P.C.,
Richter, D.J., Lavery, T., Kouyoumjian, R., Farhadian, S.F., Ward, R. and
Lander, E.S., Linkage disequilibrium in the human genome, Nature 411
(6834):199–204, 2001.
http://www.nature.com/nature/journal/v411/n6834/abs/411199a0.html