Reynold's genetic distance
Keywords: formules

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## Reynold's genetic distance for short-term evolution (1983) [Reynolds, J. 83]

DReynold = − ln ( 1 − θ ) DReynold = -ln (1 - %theta)
the following notation is used, for all 𝚹 estimators:
n ˉ = ∑ i = 1 r n i r , n c = ( r n ˉ − ∑ i = 1 r n i 2 r n ˉ ) ( r − 1 ) , p lu ˜ = ∑ i = 1 r n i p ilu ˜ r n ˉ , α il ˜ = 1 − ∑ u = 1 v 1 p ilu 2 ˜ bar n = sum _{i=1} ^r {{n_i} over r } , n_c = (r bar n - sum _{i=1} ^r {n^2 _i over {r bar n}}) over (r-1), tilde p _lu = sum _{i=1} ^r {n_i tilde p _ilu} over {r bar n}, tilde %alpha _il = 1 - sum ^{v_1} _{u=1} tilde p _ilu ^2

## weighted average of single-locus ratio estimators :

θ W ˜ = ( ∑ l = 1 m a l ) ∑ l = 1 m ( a l + b l ) tilde{%theta }_{W}= {( sum ^{m}_{l=1}a_{l}) } over {sum ^{m}_{l=1}( a_{l}+b_{l}) }