What, if anything, is a Mitochondrial Eve?
I wrote this essay in December, 1995 for the ERRANCY mailing list
(which is devoted to the discussion and refutation of the doctrine of
biblical inerrancy).
Krishna.
One of the best indications that a scientific and mathematical statement
has not been explained properly is the many different (and incorrect) ways
people interpret it.
Two excellent discussions of the Mitochondrial Eve are to be
found in:
- Richard Dawkins, River out of Eden, Basic Books, 1995.
- Daniel C. Dennett, Darwin's Dangerous Idea, Simon and
Schuster, 1995.
Here are some points to note:
- The name Eve, in retrospect, is perhaps the worst possible
name to give to the entity in question. I believe that this is
probably the cause of so much confusion in understanding what the
significance of this entity is. People think that this title has some deep
theological or religious consequences. Nothing of that sort. Someone you
come across who claims that the bible (or the book of Genesis) has been
validated by the discovery of the Mitochondrial Eve, is talking
crap---you should feel free, and even obligated, to tell them so.
- The Mitochondrial Eve of 200,000 years ago (ME for short
henceforth) is NOT our common ancestor, or even common
genetic ancestor. She is the most-recent common ancestor of all
humans alive on Earth today w.r.t. matrilineal descent. That may
seem like a mouthful, but without even a single one of those qualifying
phrases, any description or discussion of the ME reduces to a lot of
nonsense.
While each of us necessarily has two parents, we get our mitochondria and
mitochondrial DNA from the ovum (and hence from our mothers). Our mothers
got their mitochondrial DNA from their mothers and so on. Thus, while our
nuclear DNA is a mish-mash of the DNA of our four
grandparents, our mitochondrial DNA is an almost exact copy of the DNA of
our maternal grandmother (the match may not be exact due to mutations. In
fact, the mutations in the mitochondrial DNA provide the molecular clock
that allows us to determine how much time has elapsed since the ME
lived).
The ME represents that woman whose mitochondrial DNA (with mutations)
exists in all the humans now living on Earth. That does
not mean that she is our lone woman ancestor. We have ancestors who are not
via matrilineal descent. For example, our father's mother (who did pass on
her mitochondrial DNA to her daughters) is an example of an ancestor who is
not matrilineal to us. However, she did exist at one time and was probably
of the same age as our mother's mother, who is a matrilineal ancestor of
ours and from whom we got our mitochondrial DNA.
- The term Mitochondrial Eve itself is a title given
retroactively to a woman. Often (and as is certainly the case with
the ME that we are discussing) the conferring of the title occurs many
hundreds of thousands of years after the death of the woman in
question.
- ME lived with many other humans (men and women); she was certainly not
alone. When she was alive, she was most certainly NOT the
Mitochondrial Eve. The title at that time was held by a distant
ancestor of hers (and of the many humans who were her
contemporaries).
- The existence of the Mitochondrial Eve is NOT
a theory; it is a mathematical fact (unless something like a
multiple-origins theory of human evolution i.e. the human species arose
independently in different geographically separated populations, and that
the present-day ease of interbreeding is the result of a remarkable
convergent evolution, is true. Few people subscribe to the multiple-origins
theory, and the Mitochondrial Eve observation is a refutation of
multiple-origins).
- The proof for the existence of a Mitochondrial Eve is as
follows (based on an argument by Daniel Dennett in the above mentioned
book).
Consider all the humans alive today on Earth. Put them into a set S.
Next, consider the set of all those women who were the mothers of the
people in the set S. Call this set S'. A few observations about this new
set S'. It consists of only women (while set S consists of both men and
women)---this is because we chose to follow only the
mother-of relationship in going from set S to set S'. Also note
that not every member of set S' needs to be in set S---set S consists of
all people living today, while some of the mothers of living people could
have died, they would be in set S' but not in set S. Third, the size of set
S' is never larger than the size of set S. Why? This is because of the
simple fact that each of us has only one mother. It is however
overwhelmingly more likely that the size of set S' is much smaller than
that of set S---this is because each woman usually has more than one
child.
Repeat the process of following the mother-of relationship with
set S' to generate a new set S''. This set will consist of only women, and
will be no larger (and very likely smaller) than set S'.
Continue this process. There will come a point when the set will consist of
smaller and smaller number of women, until we finally come to a single
woman who is related to all members in our original set via the
transitive-closure of the mother-of relation. There is nothing
special about her. Had we chosen to follow the father-of relation,
we would have hit the Y-chromosome Adam (more on him later). Had
we chosen to follow combinations of mother-of and
father-of relations, we would have hit some other of our common
ancestors. The only reason why the mother-of relationship seems
special is because we can track it using the evidence of mitochondrial
DNA.
Thus there must exist a single woman whose is the
matrilineal most-recent common ancestor of every in set S.
A few others points to keep in mind. One might say that if each woman has
only a single daughter (and however many sons), the size of the sets will
be the same as we extrapolate backwards. But also note that this backwards
mathematical extrapolation is an extrapolation into the past. This process
cannot be continued indefinitely because the age of the Earth, life on
Earth, and the human species is finite (this argument comes from
Dawkins).
Also important to keep in mind is that while the final set S'* has only one
member (the Mitochondrial Eve), she was by no means the only living woman
on Earth during her lifetime. Many other women lived with her, but they
either did not leave descendents or did not leave descendents via the
matrilineal line, who are still alive today.
- Let us now see how the title of Mitochondrial Eve can change
hands.
Consider an extremely prolific woman living today. She has many daughters
and takes a vacation to a remote Carribean island for a week. During the
same week a plague of a mutated Ebola virus sweeps the Earth and
drastically decreases the fecundity of all living women. Not only that, the
viral infection also changes the genome of these women so that the
daughters they give birth to will inherit this reduced fecundity. This
means that far more than average of their fetuses will undergo abortions
(or, in a somewhat kinder scenario, their female fetuses will be
aborted more often than male ones).
Only this one woman and her daughters who were off in this Carribean island
are safe from the viral plague. Also assume that the viral plague consumes
itself within that fateful week. This woman and her daughters are now free
to breed in a world where their reproductive potential far outstrips that
of every other woman alive (and to be born of these women). Soon, almost
every one on Earth will be related in some fashion to this one woman.
Finally, when the last woman who was born to one of the matrilineal
descendents of an infected woman dies, the non-infected Carribean tourist
takes on the title of the new Mitochondrial Eve. Every human
alive on Earth at that point in time is now related via
the mitochondrial line to her.
But consider this new twist. Suppose a group of astronauts (men and women)
were sent off into space during the infection week, and were thus not
infected themselves. After many centuries in a Moon or Mars colony, they
returned to Earth. At that time, suddenly, the title of Mitochondrial
Eve would revert back to our own ME. The humans alive on the Earth at
that time would all share their mitochondrial DNA with an earlier common
ancestor.
- Thus the title of Mitochondrial Eve depends very critically on
the present human population of the Earth. As people die or are born, the
title can change hands. Once a ME is established (via the death of a
matrilineal line), further births cannot change the title. Further deaths
can, however, transfer the title to a more recent woman. The older ME is
still the common ancestor of all humans alive today on Earth w.r.t.
matrilineal descent, but she is not the most-recent .... This
is part of the reason why I said that each and every word of that
definition was important.
As an exercise, try to eliminate just one phrase of the definition of the
ME and see what happens. The key terms are most-recent, common
ancestor, humans alive today, matrilineal descent.
I mentioned the Y-chromosome Adam (YcA for short) earlier in
discussing patrilineal descent. The YcA has also been identified (by the
careful sequencing of a small region of the Y-chromosome that all men carry)
and has been dated considerably more recent than the ME (yet another
slap-in-the-face for bibliolaters---their Adam and Eve
lived many tens of thousands of years apart). The YcA is not as
special as the ME because only men carry the Y-chromosome, whereas all
humans, men and women, carry mitochondria and mitochondrial DNA. So the YcA
would not leave the same kind of trace in women living today as the ME did.
However, the existence of the YcA is as mathematically necessary as the
existence of the ME (use the earlier set argument, but now with the
father-of relationship).
While the existence of the ME and the YcA are mathematical, I am more
interested in the point in time when the titles were conferred on the
particular ME and YcA were are talking about today. These people have held
their respective titles for perhaps many centuries, but the really
tantalizing question is when they qualified. Was the original human
population (from which we all descended) so small that our ME was identified
very quickly after her death or did the death of an old woman in a remote
village in Southern Africa during the time that the Pharohs ruled in Egypt
represent that critical demise of the last matrilineal line not connected
with our ME. Similar arguments hold for the YcA.
A final note. The techniques of DNA sequencing, DNA-relatedness
comparisons, and the calibration of the molecular clock have been improving
dramatically over the past few years. The existence of the Mitochondrial Eve
and the Y-chromosome Adam are no longer in any doubt (remember, both are
mathematical necessities)---what is still being discussed is the estimation
of how long ago they lived. Determining their ages requires an accurate
calibration of the molecular clock and there is some disagreement here.
[ Miscellaneous | Krishna
Kunchithapadam ]
Last updated: Sun Jun 27 17:00:19 PDT 2004
URL: http://geocities.datacellar.net/krishna_kunchith/misc/eve.html