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Table 1 Estimates of the parameter γ using the ratio \(\frac {f_{1} }{ f_{2}}\) for data simulated on the four-taxon hybrid species network in Fig. 1 with the “short” and “long” branch lengths settings

From: An invariants-based method for efficient identification of hybrid species from large-scale genomic data

  ``Short" branch length ``Long" branch length
γ 0 0.1 0.2 0.3 0.4 0.5 0 0.1 0.2 0.3 0.4 0.5
500K             
Mean 0.0052 0.0986 0.2012 0.2984 0.4029 0.5005 -0.0006 0.0990 0.1981 0.2993 0.3993 0.4994
SD 0.0604 0.0524 0.0484 0.0427 0.0388 0.0356 0.0281 0.0245 0.0241 0.0220 0.0209 0.0205
MSE 0.0037 0.0027 0.0023 0.0018 0.0015 0.0013 0.0008 0.0006 0.0006 0.0005 0.0004 0.0004
250K             
Mean -0.0061 0.0945 0.2048 0.2989 0.3958 0.5009 -0.0003 0.1009 0.1971 0.2985 0.3979 0.5004
SD 0.1008 0.0816 0.0665 0.0602 0.0555 0.0546 0.0407 0.0367 0.0355 0.0317 0.0300 0.0286
MSE 0.0102 0.0067 0.0044 0.0036 0.0031 0.0030 0.0017 0.0013 0.0013 0.0010 0.0009 0.0008
100K             
Mean -0.0121 0.0789 0.1808 0.2784 0.3976 0.5001 -0.0053 0.0926 0.1997 0.3012 0.3986 0.5013
SD 0.3792 0.1445 0.1301 0.1079 0.0987 0.0930 0.0660 0.0616 0.0545 0.0498 0.0486 0.0456
MSE 0.1439 0.0213 0.0173 0.0121 0.0097 0.0087 0.0044 0.0039 0.0030 0.0025 0.0024 0.0021
50K             
Mean -0.0532 0.0157 0.0471 0.2542 0.4081 0.5282 -0.0152 0.0902 0.1955 0.2909 0.3983 0.4960
SD 0.5451 1.2607 1.4385 0.3020 0.8163 0.4126 0.1098 0.0884 0.0818 0.0793 0.0690 0.0653
MSE 0.2999 1.5964 2.0926 0.0933 0.6664 0.1710 0.0123 0.0079 0.0067 0.0064 0.0048 0.0043