Table 4 Statistics of r̂ for a finite population of autotetraploids

From: A maximum-likelihood estimation of pairwise relatedness for autopolyploids

α	n	r̂	Var(r)	ML				MOM				RI
				β ₁	β ₀	R ²	RMSE	β ₁	β ₀	R ²	RMSE	β ₁	β ₀	R ²	RMSE
0	2	0.162	0.023	0.662	0.024	0.283	0.170	0.687	0.028	0.255	0.185	0.415	0.288	0.021	0.475
	5	0.161	0.023	0.739	−0.037	0.558	0.132	0.727	−0.040	0.554	0.135	0.733	−0.042	0.563	0.135
	10	0.164	0.023	0.749	−0.055	0.646	0.133	0.740	−0.057	0.657	0.134	0.733	−0.059	0.653	0.137
	15	0.161	0.023	0.766	−0.061	0.686	0.131	0.760	−0.062	0.702	0.131	0.743	−0.064	0.685	0.135
	Mean	0.162	0.023	0.729	−0.032	0.543	0.141	0.728	−0.033	0.542	0.146	0.656	0.031	0.481	0.221
0*	2	0.161	0.023	0.331	0.015	0.212	0.167	0.572	0.026	0.212	0.183	0.212	0.011	0.196	0.178
	5	0.162	0.023	0.552	−0.026	0.509	0.144	0.229	−0.024	0.376	0.194	0.521	−0.028	0.523	0.148
	10	0.162	0.023	0.651	−0.045	0.629	0.137	0.582	−0.042	0.631	0.143	0.626	−0.049	0.638	0.142
	15	0.162	0.023	0.688	−0.054	0.672	0.135	0.656	−0.052	0.692	0.136	0.658	−0.056	0.672	0.141
	Mean	0.162	0.023	0.556	−0.028	0.505	0.146	0.510	−0.023	0.478	0.164	0.504	−0.031	0.507	0.152
1/7	2	0.165	0.023	0.649	0.024	0.279	0.171	0.683	0.028	0.258	0.185	0.292	0.296	0.011	0.470
	5	0.162	0.023	0.730	−0.037	0.552	0.134	0.716	−0.039	0.544	0.137	0.729	−0.042	0.559	0.136
	10	0.163	0.023	0.754	−0.055	0.649	0.132	0.745	−0.057	0.661	0.133	0.735	−0.059	0.655	0.136
	15	0.163	0.023	0.758	−0.060	0.681	0.132	0.753	−0.062	0.698	0.132	0.735	−0.063	0.680	0.137
	Mean	0.163	0.023	0.723	−0.032	0.540	0.142	0.724	−0.033	0.540	0.147	0.623	0.033	0.476	0.220
1/7*	2	0.165	0.023	0.320	0.015	0.204	0.172	0.561	0.026	0.209	0.186	0.202	0.013	0.183	0.182
	5	0.164	0.023	0.540	−0.025	0.499	0.147	0.220	−0.024	0.366	0.197	0.512	−0.028	0.512	0.151
	10	0.162	0.023	0.643	−0.044	0.624	0.138	0.575	−0.041	0.627	0.144	0.618	−0.048	0.632	0.143
	15	0.163	0.023	0.690	−0.055	0.672	0.136	0.660	−0.052	0.693	0.136	0.660	−0.057	0.673	0.141
	Mean	0.163	0.023	0.548	−0.027	0.500	0.148	0.504	−0.023	0.474	0.166	0.498	−0.030	0.500	0.154

Twenty unlinked loci each segregating n alleles were simulated and results displayed. The first column shows the rate of double reduction, and ambiguous genotypes are denoted by an asterisk. The slope (β₁), intercept (β₀), coefficient of determination (R²) and RMSE were calculated for each estimator. Statistics were obtained from 804 000 dyads by the weighted least-squares method.

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Table 4 Statistics of r̂ for a finite population of autotetraploids

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