Editing F-statistics (section)

== Partition due to population structure ==

[[File:F-statistics.png|frame|right|<math>F_{IT}</math> can be partitioned into <math>F_{ST}</math> due to the [[Wahlund effect]] and <math>F_{IS}</math> due to [[inbreeding]].]]

Consider a population that has a [[population stratification|population structure]] of two levels; one from the individual (I) to the subpopulation (S) and one from the subpopulation to the total (T).  Then the total <math>F</math>, known here as <math>F_{IT}</math>, can be [[Partition of the sum of squares|partition]]ed into <math>F_{IS}</math> and <math>F_{ST}</math>:

:<math> 1 - F_{IT} = (1 - F_{IS})\,(1 - F_{ST}). \!</math>

This may be further partitioned for population substructure, and it expands according to the rules of [[binomial expansion]], so that for ''I'' partitions:

:<math> 1 - F = \prod_{i=0}^{i=I} (1 - F_{i,i+1}) \!</math>
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