Table 3 Unordered genotypes, their genotype dosages, frequencies, and expectations of genotype dosages, and squares and cross products of genotype dosages, for locus M and N, in the crossbred offspring from random mating between lines A and B
Genotype dosage | Frequency | Expectations | |||||
|---|---|---|---|---|---|---|---|
\({M}_{g}\) | \({N}_{g}\) | \(f\) | \(E\left({M}_{g}^{2}\right)\)a | \(E\left({M}_{g}\right)\) | \(E\left({N}_{g}^{2}\right)\) | \(E\left({N}_{g}\right)\) | \(E\left({{M}_{g}N}_{g}\right)\) |
0 | 0 | \(rr{^{\prime}}\) | 0 | 0 | 0 | 0 | 0 |
0 | 1 | \(r{^{\prime}}s+rs{^{\prime}}\) | 0 | 0 | \({r}{^{\prime}}s+r{s}{^{\prime}}\) | \({r}{^{\prime}}s+r{s}{^{\prime}}\) | 0 |
0 | 2 | \(s{^{\prime}}s\) | 0 | 0 | \(4s{^{\prime}}s\) | \(2s{^{\prime}}s\) | 0 |
1 | 0 | \(r{^{\prime}}t+rt{^{\prime}}\) | \(r{^{\prime}}t+r{t}{^{\prime}}\) | \({r}{^{\prime}}t+rt{^{\prime}}\) | 0 | 0 | 0 |
1 | 1 | \({r}{^{\prime}}u+ru{^{\prime}}+{s}{^{\prime}}t+st{^{\prime}}\) | \(r{^{\prime}}u+ru{^{\prime}}+s{^{\prime}}t+st{^{\prime}}\) | \(r{^{\prime}}u+ru{^{\prime}}+s{^{\prime}}t+s{t}{^{\prime}}\) | \(r{^{\prime}}u+ru{^{\prime}}+{s}{^{\prime}}t+st{^{\prime}}\) | \({r}{^{\prime}}u+r{u}{^{\prime}}+s{^{\prime}}t+s{t}{^{\prime}}\) | \(r{^{\prime}}u+r{u}{^{\prime}}+s{^{\prime}}t+st{^{\prime}}\) |
1 | 2 | \(s{^{\prime}}u+su{^{\prime}}\) | \(s{^{\prime}}u+su{^{\prime}}\) | \(s{^{\prime}}u+s{u}{^{\prime}}\) | \(4s{^{\prime}}u+4su{^{\prime}}\) | \(2{s}{^{\prime}}u+2s{u}{^{\prime}}\) | \(2s{^{\prime}}u+2su{^{\prime}}\) |
2 | 0 | \(t{^{\prime}}t\) | \(4t{^{\prime}}t\) | \(2t{^{\prime}}t\) | 0 | 0 | 0 |
2 | 1 | \(t{^{\prime}}u+t{u}{^{\prime}}\) | \({4t}{^{\prime}}u+4t{u}{^{\prime}}\) | \(2t{^{\prime}}u+2tu{^{\prime}}\) | \(t{^{\prime}}u+tu{^{\prime}}\) | \({t}{^{\prime}}u+tu{^{\prime}}\) | \({2t}{^{\prime}}u+2t{u}{^{\prime}}\) |
2 | 2 | \(u{^{\prime}}u\) | \({4u}{^{\prime}}u\) | \({2u}{^{\prime}}u\) | \(4u{^{\prime}}u\) | \(2u{^{\prime}}u\) | \(4{u}{^{\prime}}u\) |
| Â | 1 | \(\left(t+u\right)+\left({t}{^{\prime}}+{u}{^{\prime}}\right)+2\left({t}{^{\prime}}+{u}{^{\prime}}\right)\left(t+u\right)\) | \(\left(t+u\right)+\left({t}{^{\prime}}+{u}{^{\prime}}\right)\) | \(\left(s+u\right)+\left({s}{^{\prime}}+u{^{\prime}}\right)+2\left({s}{^{\prime}}+{u}{^{\prime}}\right)\left(s+u\right)\) | \(\left(s+u\right)+\left({s}{^{\prime}}+{u}{^{\prime}}\right)\) | \(u{^{\prime}}\left(1+t+u\right)+u\left(1+{t}{^{\prime}}+{u}{^{\prime}}\right)+s{^{\prime}}\left(t+u\right)+s\left({t}{^{\prime}}+u{^{\prime}}\right)\) w | |