Table 3 Simplified ΩT for HS mating system.

From: Linkage disequilibrium under polysomic inheritance

1

N−1

1

N−1

N−2

1

N−1

N−2

N−3

(1−c)2

\(\frac{{c^2}}{{v - 1}} - \frac{{1 + 2c\left( {c - 1} \right)}}{v}\)

0

\(\frac{{1 - c}}{v}\)

\(\frac{{2c - 1}}{{v^2}}\)

0

0

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

\( - \frac{2}{{v^3}}\)

2c (1−c)

\(\frac{{4c\left( {2c - 1} \right)}}{v} - \frac{{2c^2}}{{v - 1}}\)

1−c

\(\frac{{6c - 3}}{v}\)

\(\frac{{2 - 8c}}{{v^2}}\)

0

\(\frac{4}{v}\)

\( - \frac{{12}}{{v^2}}\)

\(\frac{8}{{v^3}}\)

c2

\(\frac{{2c^2\left( {3 - 2v} \right)}}{{v\left( {v - 1} \right)}}\)

c

\( - \frac{{5c}}{v}\)

\(\frac{{6c}}{{v^2}}\)

1

\( - \frac{6}{v}\)

\(\frac{{11}}{{v^2}}\)

\( - \frac{6}{{v^3}}\)

  1. Each element of ΩT is a combination of 1, N−1, N−2 and N−3 with the combination coefficients in the corresponding cell. The combination coefficients are zero for unpresented terms.