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1. Your reverse family tree

A normal family tree starts with an ancestor and fans forward through their descendants. A reverse family tree starts with you and fans backward through your parents, grandparents, and so on. Every step back doubles the number of slots in the tree.

you gen 0 gen 1 (parents, 2) gen 2 (grandparents, 4) gen 3 (8) gen 4 (16)

The tree above stops at four generations because the page would otherwise have to be a kilometre wide. The doubling, though, does not stop.

2. The doubling paradox

Slide the generation count and watch the slot total. A generation is roughly 30 years on average, so 30 generations is about 900 years, give or take. By then the tree is asking for more ancestors than have ever lived.

700 years ago
Slots in your tree at that generation
1,024
As a fraction of all humans alive then
~0.0003%
Reality check
comfortably fits

At 30 generations the tree needs more than a billion ancestor-slots in a world that contained perhaps 400 million people. At 40 generations it needs a trillion in a world of less than 300 million. The numbers very quickly stop being possible.

Tree slots versus humans alive (log scale) The slots line keeps doubling. The humans line does not. 0 10 20 30 40 generations 1 10³ 10⁶ 10⁹ 10¹² 10¹⁵ slots in your tree (2ⁿ) humans alive at that time slots overtake population ~23 generations back

Where the orange line crosses the green one, your tree is asking for more ancestor-slots than there were people. Something has to give.

3. Pedigree collapse

What gives is the assumption that every slot is a different person. It is not. The same ancestor shows up in the tree many times over, sometimes thousands of times over. This is pedigree collapse: the same nodes feeding multiple lines of descent down to you.

you same person, three slots same person, another slot

Why it happens

For most of history, the people you might marry were a tiny subset of the world: those who lived in the same village or parish, spoke the same language, were not too closely related but were also not strangers from another continent. Within those pools, distant cousins married distant cousins, generation after generation, without anyone noticing or caring. Royal lines were extreme cases, but the same physics applies to peasants.

How much collapse?

Generations backTree slotsDistinct ancestors (typical)Collapse ratio
10 (~300 years)1,024~1,000almost none
15 (~450 years)32,768~25,000noticeable
20 (~600 years)~1 million~200,000~5×
25 (~750 years)~33 million~1–2 million~20×
30 (~900 years)~1 billionmaybe 5 million~200×

Distinct-ancestor counts are rough order-of-magnitude estimates for a population mixing on a regional scale. Your figures depend on which population you descend from, and on island and isolated communities pedigree collapse hits much faster.

4. Genetic ancestors versus genealogical ancestors

A subtler twist: even the ancestors who really existed in your tree may have contributed nothing measurable to your DNA. You inherit roughly half your DNA from each parent, but the shuffling is coarse. By the time you go back ten generations or so, most of your genealogical ancestors are not genetic ancestors. Their slot is real. Their DNA in you is zero.

Genealogical ancestors keep doubling. Genetic ones plateau. You carry DNA from at most a few hundred ancestors per generation, no matter how big the tree. 0 5 10 15 20 generations 1 10² 10⁴ 10⁶ genealogical (slots in tree) genetic (actually contribute DNA)

The mechanism: each parent passes you 23 chromosomes that are themselves stitched together from their two parents' chromosomes by recombination, with roughly 30 crossover points per generation. Each generation back, a chromosome is chopped into ever-smaller pieces, and many pieces get lost in the shuffle. By around 10 generations back, you can expect to carry no detectable DNA from a randomly chosen ancestor in your tree.

Why this is not depressing

You still descend from all of them. They each played a small role in the chain that produced you, even if the specific stretches of DNA they contributed have been recombined out of existence. Genealogy is about the lineage of bodies, not the lineage of base pairs.

5. The most recent common ancestor

Take any two living humans. Walk back up both reverse family trees until they meet. The meeting point is your most recent common ancestor (MRCA). The remarkable result, first sharpened by mathematicians Joseph Chang, Douglas Rohde and Steve Olson in the early 2000s, is that the MRCA of everyone alive today probably lived only a few thousand years ago.

Reference pointApproximate dateWhat it is
MRCA of all living humans~2,000–5,000 years agoThe most recent person whose descendants include everyone alive now.
Identical Ancestors Point~5,000–15,000 years agoThe point at which every person then living is either the ancestor of everyone alive today, or of no one.
"Y-chromosomal Adam"~200,000–300,000 years agoMRCA along the strictly male-to-male line. Just one thread of the tree.
"Mitochondrial Eve"~150,000–200,000 years agoMRCA along the strictly female-to-female line. Another single thread.

The first two are dizzying. If you read this in the UK, in Lagos, in Jakarta, in Lima, in Auckland: provided your family did not stay on a truly isolated island, you share a great-great-great-...-grandparent with every other reader, perhaps as recently as the Bronze Age. Genghis Khan, Charlemagne, Nefertiti, Confucius, the unnamed farmer next to them: any of these who left living descendants at all are almost certainly your ancestor.

What "Mitochondrial Eve" is not

Mitochondrial Eve was not the only woman alive. She was not even the only woman alive whose descendants survive. She is the most recent woman whose mitochondrial DNA, passed mother-to-child unchanged except for occasional mutations, traces back to her unbroken. Every other woman alive at the same time may also be your ancestor through some other path in the tree. The "Eve" label is misleading in exactly the way you suspect.

6. Genetic intermixing

If everyone has roughly the same ancestors going back far enough, why do humans look different? The answer is that the genome is a vast space, the differences between populations are small fractions of it, and the same ancestors can contribute different shuffled draws to different descendants.

Streams of ancestry merging into you Stylised population sources flowing forward in time. Right edge is you. you steppe pastoralists early farmers hunter-gatherers later migrations ≥ 7,000 years ago today

Ancient DNA, sequenced from skeletons over the past fifteen years, has shown that the modern populations of Europe, India, the Americas, East Asia and Africa are each themselves blends of older groups that mixed and re-mixed. Western Europeans, for example, are largely a three-way mix of Pleistocene hunter-gatherers, early Anatolian farmers (around 7,000 years ago) and Bronze-Age steppe pastoralists (around 5,000 years ago). South Asians are blends of ancient North Indian and ancient South Indian populations, themselves shaped by older migrations. There is no pure anything. Mixing is the rule, isolation the exception.

The 0.1% that does the work

Any two humans differ at roughly one base pair in a thousand. Of that variation, about 85% is found within any single local population. Only a small slice maps onto the differences between continents, and even that slice is mostly statistical: gradients, not boundaries. Most of you is shared with most of everyone.

7. Deep time: out of Africa and before

Push the reverse tree past a few thousand years and the human story merges into a single thread. Around 50,000 to 70,000 years ago, the ancestors of every non-African alive today were a relatively small group that left East Africa. Before that, all human ancestry runs through Africa.

Push further. Roughly 600,000 years ago, the lineage leading to modern humans split from the lineage leading to Neanderthals and Denisovans. Most non-Africans carry about 1–2% Neanderthal DNA, and some populations carry a few percent Denisovan, the legacy of brief interbreeding episodes when our ancestors met theirs.

today 70 kya 600 kya 2 Mya 7 Mya 25 Mya modern humans Neanderthal / Denisovan branch archaic Homo sapiens Homo erectus last common ancestor with chimpanzees ~7 Mya further back: ape lineage, primates, mammals…

Keep pushing. About 7 million years ago, your lineage shares an ancestor with chimpanzees: a small ape, almost certainly living in central African forest, neither human nor chimp but the common ancestor of both. Around 25 million years ago the broader ape lineage splits off from old-world monkeys. Around 65 million years ago, after the asteroid impact that ended the non-avian dinosaurs, small shrew-like mammals diversified into the lineage that produced primates.

8. The dawn of life

Keep going. The chain of bodies producing bodies, of single cells dividing into other single cells, runs unbroken from you to the first living thing on Earth. Below is a compressed walk along that chain. Each line in the table is an ancestor of yours in the strictest sense: not a relative, not an example, but a creature in the direct line.

RoughlyWhat your direct ancestor looked like
200 kyaAn anatomically modern human in East Africa.
2 MyaAn early Homo, walking upright, making stone tools, brain about half the modern size.
4 MyaAn australopithecine, bipedal but small-brained, eating fruit and tubers on the African savanna.
7 MyaA small ape in African forest. Common ancestor with chimpanzees.
25 MyaA primitive ape, tail-less, in the canopy.
65 MyaA small, nocturnal, insect-eating mammal, surviving the asteroid impact.
200 MyaA shrew-sized proto-mammal, warm-blooded, hidden from the dinosaurs.
320 MyaA reptile-like amniote laying tough-shelled eggs on dry land.
375 MyaA lobe-finned fish hauling itself through swamp on muscular limbs. Tiktaalik's cousin.
500 MyaAn early jawless fish in Cambrian seas, with a notochord that would become a spine.
550 MyaA worm-like bilaterian, the body plan from which almost all animal life descends.
700 MyaA simple multicellular animal: something like a sponge or a placozoan.
1.5 ByaA single-celled eukaryote: a cell with a nucleus and mitochondria, the result of one ancient cell engulfing another.
3.5 ByaA prokaryote in a hot ocean: a tiny membrane-bound cell, copying its genetic material and dividing.
~4 ByaThe last universal common ancestor of all life on Earth, LUCA. Before that: chemistry on its way to becoming biology.
A log-scale walk from you to LUCA Each tick is a factor of 10 in years before present. today 100 y 10 ky 1 My 100 My 10 Gy you great-great-grandparent end of last ice age early Homo first mammal first cell

The thing to sit with is that every link in that chain succeeded: each ancestor lived long enough to reproduce, and each child survived long enough to do the same. Run the chain back four billion years and not a single link broke. The base rate for survival in any given generation is low. Multiplied across that many generations, the prior probability of you being here is essentially zero. You are here anyway.

Look up from this page at the next stranger you see. The same is true of them. Somewhere not all that long ago in the scheme of things, the two of you share an ancestor in the strictest sense. Probably not so long ago at all.

Sources include Adam Rutherford, A Brief History of Everyone Who Ever Lived; David Reich, Who We Are and How We Got Here; Chang (1999) on common ancestors; Rohde, Olson and Chang (2004) on the recency of the MRCA; Richard Dawkins, The Ancestor's Tale. Numbers are illustrative; the deep-time dates carry wide uncertainty.