By Dr Yan Wong
Evolutionary biologist
A
question one Radio 4 listener asked about the bloodline between Jesus
and King David raised a wider genealogical issue. How many generations
does it take before someone alive today is the ancestor of everyone on
the planet?
Listeners to the More or Less programme on Radio 4 have been
challenging me to answer any fiendish question they can throw at me.
A question about Jesus's genealogy was rather interesting and the answer has astounding ramifications.
The Bible says Jesus was a descendant of King David. But
with 1,000 years between them, and since King David's son Solomon was
said to have had about 1,000 wives and mistresses, couldn't many of
Jesus's peers in Holy Land have claimed the same royal ancestor?
Theory tells us that not only would all of Jesus's
contemporaries be descended from King David, but that this would
probably be the case even if Solomon had been into monogamy.
We can make this sort of prediction because over the past 15
years or so, these ideas have been studied as part of the research into
understanding patterns in our own
genome.
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Who is Yan Wong?
Yan Wong is an evolutionary biologist specialising in computer and mathematical modelling of evolutionary genetics.
He is a presenter of the BBC One science programme Bang Goes The Theory and a contributor to More or Less.
The most successful approach has
been to go backwards in time, taking a sample of people and imagining
the patterns of inheritance in their ancestral family tree.
When applied to the question of who is descended from whom, the results can surprise even the professionals.
That's because geneticists normally study biological information - DNA - that people inherit from just one of their parents.
Just like a surname, or the male lines of descent quoted in
the Bible, these generate lineages that shrink or expand rather slowly.
That's why we expect the proportion of Smiths in the phone-book to
fluctuate only a little from decade to decade.
The surprise comes if we look at inheritance from both
parents. Here, the numbers change drastically as the generations go by.
For instance, we have two parents, four grandparents, eight
great-grandparents, and so on.
Each generation back, we multiply the number by two. This
leads to what is called an exponential increase: 2, 4, 8, 16, 32, 64,
128, 256, 512, 1024 and so on.
It's not long before we hit huge numbers. Take the specific case of Jesus and King David.
The number of generations between them is at least 35. Luke
lists 42 generations down the male line, and Matthew gives an incomplete
list of 27.
Jesus Christ would have had more than 34 billion potential ancestors
These numbers agree reasonably well with an average time
between generations of 25 or 30 years - an estimate taken from
documented historical records from Iceland and Canada.
So back in the time of David, Jesus would have had at least 2
x 2 x 2 x 2 (35 times); in other words 2^35 - or more than 34 billion
potential ancestors. That's far more than the total population of the
world, of course.
This is a good illustration of what's been called the "genealogical paradox".
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What about isolated communities?
"The one thing that stands a chance of scuppering our
calculations is if the population is split into isolated groups," says
Yan Wong.
"However, to be considered separate, these groups need to basically never interbreed with each other.
"To quote one of the papers on this subject, 'substantial
forms of population subdivision can still be compatible with very recent
common ancestors'. (Rohde et al., 2004).
"In fact, even using current DNA studies, you can almost
always detect distant shared relatives between distinct human
populations (Henn et al., 2012)."
In short, we seem to have too
many ancestors. The solution is that we have to take inbreeding into
account. Many of these ancestors are duplicates; the same person can
found through multiple routes in the family tree.
You are unlikely to be the product of inbreeding between
recent ancestors. So initially, your increase in ancestors will indeed
be almost exponential.
But as your family tree increases to thousands upon
thousands, you will inevitably find many obscure branches that have
interbred. That's when the numbers start tailing off.
Even so, by that time, you will have collected a large number
of people in your ancestry. So it's not surprising that any two people
in any one country probably won't need to go back many generations
before finding a common ancestor.
More specifically, imagine the simplest case of a population
of a constant size - say a million (the approximate size of the Holy
Land at the time of Jesus).
If people in this population meet and breed at random, it
turns out that you only need to go back an average of 20 generations
before you find an individual who is a common ancestor of everyone in
the population.
If you go back on average 1.77 times further again (35
generations) everyone in the population will have exactly the same set
of common ancestors (although they will be related, of course, through
different routes in all the different family trees).
Advances in DNA allow us to detect shared genetic ancestry
In fact about 80% of the people at that time in the past will
be the ancestors of everyone in the present. The remaining 20% are those
who have had no children, or whose children have had no children, and
so on - in other words, people who were genetic dead-ends.
Apply that to the case of King David. According to this
model, he would be a common ancestor of the whole population of the Holy
Land somewhere between 20 and 35 generations after his life. That's
even without Solomon sowing his seed so widely.
That's why everyone alive in the Holy Land at the time of Jesus would have been able to claim David for an ancestor.
Reductions in population caused by events such as the
Assyrian invasions will have produced more inbred family trees, and shortened the number of generations needed to reach a common ancestry.
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What about the wider
ramifications? A single immigrant who breeds into a population has
roughly 80% chance of becoming a common ancestor. A single interbreeding
event in the distant past will probably, therefore, graft the
immigrant's family tree onto that of the native population. That makes
it very likely that King David is the direct ancestor of the populations
of many other countries too.
How far do we have to go back to find the most recent common
ancestor of all humans alive today? Again, estimates are remarkably
short. Even taking account of distant isolation and local inbreeding,
the quoted figures are 100 or so generations in the past: a mere 3,000
years ago.
And one can, of course, project this model into the future,
too. The maths tells us that in 3,000 years someone alive today will be
the common ancestor of all humanity.
A few thousand years after that, 80% of us (those who leave
children who in turn leave children, and so on) will be ancestors of all
humanity. What an inheritance!
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