TABLE 1

Solutions for linkage disequilibrium (D1 and D2) from zygotic associations (ω) in Hardy-Weinberg equilibrium populations

Zygotic frequency
p1 = q1Df(00)f(01)f(10)f(11) ω D1D2
0.00.0001.00000.00000.00000.00000.00000.000*–0.500
0.1–0.0100.66000.16000.16000.0200–0.0124–0.010*–0.310
0.1–0.0050.66610.15390.15390.0261–0.0063–0.005*–0.315
0.10.0000.67240.14760.14760.03240.00000.000*–0.320
0.10.0450.73810.08190.08190.09810.06570.045*–0.365
0.10.0900.82000.00000.00000.18000.14760.090*–0.410
0.2–0.0400.44000.24000.24000.0800–0.0224–0.040*–0.140
0.2–0.0200.44960.23040.23040.0896–0.0128–0.020*–0.160
0.20.0000.46240.21760.21760.10240.00000.000*–0.180
0.20.0800.54560.13440.13440.18560.08320.080*–0.260
0.20.1600.68000.00000.00000.32000.21760.160*–0.340
0.3–0.0900.34000.24000.24000.18000.00360.010–0.090*
0.3–0.0450.33010.24990.24990.1701–0.0063–0.035–0.045*
0.30.0000.33640.24360.24360.17640.00000.000*–0.080
0.30.1050.41410.16590.16590.25410.07770.105*–0.185
0.30.2100.58000.00000.00000.42000.24360.210*–0.290
0.4–0.1600.36000.16000.16000.32000.08960.140–0.160*
0.4–0.0800.28960.23040.23040.24960.01920.060–0.080*
0.40.0000.27040.24960.24960.23040.00000.000*–0.020
0.40.1200.33760.18240.18240.29760.06720.120*–0.140
0.40.2400.52000.00000.00000.48000.24960.240*–0.260
0.5–0.2500.50000.00000.00000.50000.25000.250–0.250*
0.5–0.1250.31250.18750.18750.31250.06250.125–0.125*
0.50.0000.25000.25000.25000.25000.00000.000*0.000
0.50.1250.31250.18750.18750.31250.06250.125*–0.125
0.50.2500.50000.00000.00000.50000.25000.250*–0.250

Zygotic frequencies are constructed using disequilibrium functions involving linkage disequilibrium (D) with all other genic disequilibria being zero at different gene frequencies (p1 = q1). The correct solution is accompanied with an asterisk (*).