Biology Reference
In-Depth Information
mmt
is the gene correlation of any given male with the n - 1 males of the same lineage at the
t
generation,
mft
is the gene correlation of a given female with the n males of her own lineage
at the
t
generation, whereas
t
is the average of the gene correlation of any given male with
the n (s - 1) males of the all other lineages and the gene correlation of a given female to all
the other n (s - 1) males of all the other lineages.
2.
F
t + 1
=
mft
= (
mft
) + (1 -
t
.
All of the terms within this equation are defined above.
mmt+1
=
(F
t
)/8)
+
((1
+
mmt
)/4) +
((
mft
)/2) +
(((2
(1-
t
Again, all of the terms within this equation have been previously defined.
4.
mft+1
= ((2n (1 - n
t
/4) + (((n - 1) (1 +
mmt
)/4)
+ ((
mft
)/2) + (F
t
)((n - 1) + 2)/8n).
These four expressions were developed for the case where only the males migrate and the
females were strictly phylopatric. Therefore, a column vector termed
S
was constructed in the
t
generation.
S
t
= (
t
, F
t
,
mmt
,
mft
)'. This column vector was employed to obtain the same vector in
the next generation (
t + 1
), by means of the following expression:
S
t+1
= TS
t
+ C, where
(4 - )/4 0 /4 /2
T = 1 - 0 0
(2(1 - ) + (1 - ) (1 - ))/4 /8 (1 + (1 - ))/4 /2
(2n(1 - ) + (n - 1) (1 - ) (1 - ))/4n ((n - 1) + 2)/8n ((n - 1)(1 + (1 - ))/4n /2
and C = (0, 0, /8, ((n - 1) + 2)/8n)'
For this specific case, the asymptotic values for and F used to estimate the
asymptotic F-statistics were
mm
+
mf
+ F)/2, = ((
mm
+ 2
mf
)/4), F =
mf
, where
mm
= (/(6 - 2(1 - )) and
mf
= ((n - 1)
mm
/n) + (1/4n))
If the females and the males are all dispersers, then, some equations change:
mmt
)/2 + (
mft
)/2 + ((2 -
t
/2) and
Search WWH ::
Custom Search