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}) }