|
n
M
|
n
R
|
True value \( \left( {{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right) \)
|
Approximation \( \left( {\hat{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right) \)
|
10th order approximation
|
\( {\text{E}}\left[ {\hat{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right] \)
|
|---|
|
1000
|
500
|
0.37
|
0.42
|
0.58
|
0.47
|
|
1000
|
1000
|
0.56
|
0.73
|
2.47
|
0.82
|
|
1000
|
1500
|
0.65
|
0.95
|
2.50
|
1.04
|
|
1000
|
2000
|
0.72
|
1.17
|
2.52
|
1.26
|
|
1500
|
500
|
0.31
|
0.34
|
0.33
|
0.37
|
|
1500
|
1000
|
0.46
|
0.56
|
1.87
|
0.63
|
|
1500
|
1500
|
0.56
|
0.73
|
2.44
|
0.81
|
|
1500
|
2000
|
0.62
|
0.87
|
2.50
|
0.96
|
|
2000
|
500
|
0.27
|
0.29
|
0.27
|
0.32
|
|
2000
|
1000
|
0.40
|
0.46
|
0.89
|
0.52
|
|
2000
|
1500
|
0.50
|
0.62
|
2.24
|
0.69
|
|
2000
|
2000
|
0.57
|
0.76
|
2.48
|
0.84
|
|
2500
|
500
|
0.24
|
0.25
|
0.24
|
0.27
|
|
2500
|
1000
|
0.36
|
0.40
|
0.49
|
0.45
|
|
2500
|
1500
|
0.46
|
0.55
|
1.79
|
0.61
|
|
2500
|
2000
|
0.52
|
0.67
|
2.35
|
0.74
|
- The convergence criterion is the value of the Taylor series at order 10
-
\( {\text{E}}\left[ {\hat{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right] \) is the expectation of the first approximation across the distribution of allele frequencies as given in Goddard [16]
