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The geometry and genetics of hybridization

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HAL Id: hal-03093393

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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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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 4 105 106 107

M

(b) h = 1/2

Generations

0.00 0.25 0.50 0.75 1.00 0 .0 0 .5 1 .0 1 .5

Hybrid index, h

V

+

V

(c) p

12

= 0

0 1 2 3 4 105 106 107

M

+

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 5

Heterozygosity, p

12

V

+

V

(e) p

2

= 0 (p

12

= 2h)

0 1 2 3 4 105 106 107

M

+

M

(f) h = 1/2; p

12

= 1

Generations

.

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(31)

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

2

P1 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) = 0.15

P1 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

2

P1 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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