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Table 1 Genotype survival table based on the mating table

From: To save or not to save your family member’s life? Evolutionary stability of self-sacrificing life history strategy in monogamous sexual populations

Genotypes of parents

Average number of couples

Probability distribution of offspring, and

Average number of survived family members, for genotypes G1, G2, G3

G1

G2

G3

G1xG1

\( \frac{Ny_1^2}{2} \)

1

0

0

2q1(11) + n1(11)

0

0

G1xG2

Ny 1 y 2

½

½

0

q1(12) + n1(12)

q2(12) + n2(12)

0

G1xG3

Ny 1 y 3

0

1

0

q 1(13)

n 2(13)

q 3(13)

G2xG2

\( \frac{Ny_2^2}{2} \)

¼

½

¼

n 1(22)

2q2(22) + n2(22)

n 3(22)

G2xG3

Ny 2 y 3

0

½

½

0

q2(23) + n2(23)

q3(23) + n3(23)

G3xG3

\( \frac{Ny_3^2}{2} \)

0

0

1

0

0

2q3(33) + n3(33)