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The geometry and genetics of hybridization
Hilde Schneemann, Bianca de Sanctis, Denis Roze, Nicolas Bierne, John Welch
To cite this version:
Hilde Schneemann, Bianca de Sanctis, Denis Roze, Nicolas Bierne, John Welch. The geometry and
genetics of hybridization. Evolution (International Journal of Organic Evolution), MOHAMED A.
NOOR, Editor-in-Chief, 2020, �10.1101/862235�. �hal-03093393�
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CC-BY 4.0 International license
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Additive model Variable phenotypic dominance
Homozygous hybrids Heterozygous hybrids
0.00 0.25 0.50 0.75 1.00 0 .0 0 .5 1 .0 1 .5
Hybrid index, h
V
(a) p
12= 0
0 1 2 3 4 105 106 107M
(b) h = 1/2
Generations
0.00 0.25 0.50 0.75 1.00 0 .0 0 .5 1 .0 1 .5Hybrid index, h
V
+
V
(c) p
12= 0
0 1 2 3 4 105 106 107M
+
M
(d) h = 1/2; p
12= 0
Generations
0.00 0.25 0.50 0.75 1.00 0 .0 0 0 .2 5 0 .5 0 0 .7 5Heterozygosity, p
12V
+
V
(e) p
2= 0 (p
12= 2h)
0 1 2 3 4 105 106 107M
+
M
(f) h = 1/2; p
12= 1
Generations
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P1 P2 F1 F2 F3
F3
*
F4
*
F5
*
BC
1
BC
2
BC
2*
BC
3*
BC
4*
(a) Quadratic selection (k=2)
Var(wF2) = 5.48 104 Var(wBC) = 1.42 104
1.
5
1.
0
0.
5
0.
0
r
2P1 P2 F1 F2 F3
F3
*
F4
*
F5
*
BC
1
BC
2
BC
2*
BC
3*
BC
4*
(b)
selection (k=6)
Var(wF2) = 0.1 Var(wBC) = 0.15P1 P2 F1 F2 F3
F3
*
F4
*
F5
*
BC
1
BC
2
BC
2*
BC
3*
BC
4*
(c) k=2; Variable phenotypic dominance
Var(wF2) = 7.47 104 Var(wBC) = 2.73 104
2.
5
2.
0
1
.5
1.
0
0.
5
0
.0
r
2P1 P2 F1 F2 F3
F3
*
F4
*
F5
*
BC
1
BC
2
BC
2*
BC
3*
BC
4*
(d) k=6; Variable phenotypic dominance
Var(wF2) = 0.09 Var(wBC) = 0.13
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