Geneaology

Every generation back, the number of ancestor slots doubles. Two parents. Four grandparents. Eight great-grandparents. Run that forward and the numbers become absurd very quickly. Roughly a thousand ancestors three hundred years ago. Around a million six hundred years ago. A billion about a millennium ago. That exceeds the size of most real historical populations, so the neat doubling model fails.

What actually happens is repetition. The same people appear multiple times in the tree. Distant cousins marry. Small towns recycle the same families. Geography, religion and class constrain mating to limited pools. The tree becomes a network with loops. This is pedigree collapse. It means you have far fewer unique ancestors than the slot count suggests.

There is also a distinction between being an ancestor on paper and contributing DNA. After enough generations, many ancestors are genealogical only. They are in the tree but left you no genetic material. Recombination breaks DNA into segments every generation. Over a few hundred years, a large fraction of named ancestors contribute nothing genetically, even though they are real ancestors.

Two things are therefore true at the same time.

On paper, you are related to a large fraction of the people who lived in your region a few hundred years ago. Your tree spreads and overlaps so much that you share ancestors with most local families.

Genetically, you only carry DNA from a much smaller subset of those people. Most of your family tree is biologically invisible.

In practice:

. Your family tree does not grow without bound. It hits the size of the local population and then reuses the same people through multiple paths.
. The further back you go, the less meaningful ancestor counts become, because they mostly represent repeated individuals.
. Beyond roughly three to four hundred years, many specific ancestors likely left you no DNA at all, despite being in your genealogy.
. This is why two people from the same region often turn out to be distant cousins, yet usually share little or no detectable DNA.

Your tree explodes on paper, collapses in reality, and your genetic inheritance comes from a smaller, overlapping subset of repeated ancestors.

Biologically, this is expected.

You do not inherit clean fractional slices of each grandparent. You inherit long chromosomes that are reshuffled before transmission.

Recombination swaps segments between chromosome pairs. Each child receives a patchwork, not a blended average.

Segmentation and dilution increase each generation. DNA is broken into smaller pieces. Some ancestral segments shrink. Some disappear entirely.

Inheritance is random around the averages. You do not receive exactly one quarter from each grandparent. Over many generations, chance dominates and removes many ancestral lines genetically.

If all segments from a given ancestor are lost, that person remains in your tree but has no biological footprint in you. Their genetic line is extinct as far as you are concerned.

Because the same ancestors recur through multiple paths, some individuals get multiple independent chances to pass DNA forward. A small set of repeated ancestors becomes over-represented. Many others drop out completely.

Most of this applies to autosomal DNA. Mitochondrial DNA and the Y chromosome trace single lines. They persist or go extinct as whole lines. Autosomal DNA is a branching and pruning process.

The result is a random thinning of your family tree each generation. Paper ancestors accumulate. Biological ancestors are filtered down to a smaller, uneven subset dominated by repeated local ancestors.

This structure is shaped by history.

Before industrialisation, people lived and married locally. Villages, parishes, small towns. Mating pools were small. Pedigree collapse was rapid.

After industrialisation, cities, railways and labour mobility expanded mating pools. Recent generations draw from larger populations. Collapse is delayed in modern times.

Pre-1800 populations were much smaller. Projecting doubling ancestors into those populations hits saturation quickly. Post-1800 population growth expands the pool for recent generations but does not change the constraint in earlier centuries.

Mass migration and colonisation further expand recent mating pools in settler countries. Australia, the US, Canada and New Zealand pull recent ancestors from multiple continents. Collapse is reduced in the nineteenth and twentieth centuries. Trace each immigrant line back into its source region and collapse accelerates again.

The same period brings civil registration, censuses and bureaucratic record-keeping. Documentary depth increases at the same time biological and demographic horizons shift.

What looks like a tidy abstract rule is a historical artefact.

Modernity stretches recent genealogy outward through mixing and records.
Pre-modern society compresses deep genealogy inward through small mating pools and sparse documentation.

That is why the early modern period is a cliff edge for many family trees. It is not mystical. It is industrialisation, demography and bureaucracy reshaping reproduction and record-keeping at the same time.