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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