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Table 1 Family evolution under the linear BDIM (d=1)

From: Gene family evolution: an in-depth theoretical and simulation analysis of non-linear birth-death-innovation models

 

N

P (d) (1,N) *10 2

e (d) N

E (d) N

f (d) N

M (d) N

M (d) N /E (d) N

c (d) du

T (d) N

Sce

130

0.284

295267

47.46

260080

20381.6

429.5

1.903

1939.3

Dme

335

0.227

778830

153.74

734725

37409.9

243.3

1.784

3337.0

Cel

662

0.160

1.866*106

347.76

1.803*106

68709.6

197.6

1.523

5232.2

Ath

1535

0.016

2.150*107

702.65

2.087*107

529639.

753.8

2.382

63080.0

Hsa

1151

0.026

1.329*107

505.26

1.29*107

300665.

595.1

2.721

40905.5

Tma

97

0.060

681356

31.47

513450

80677.3

2563.6

1.109

4473.6

Mth

43

1.125

37131.5

14.91

28570

4707.04

315.9

1.091

256.8

Sso

81

0.461

129115

30.14

98440

12853.5

426.5

1.253

805.3

Bsu

124

0.284

237343

48.89

202150

22921.0

468.8

1.320

1512.8

Eco

140

0.155

440665

51.67

375943

37959.8

734.7

1.544

2930.5

  1. For the linear BDIM (d = 1) and for the largest family of size N in each genome, the table shows the probability of formation P(d)(1,N), mean number of events before extinction of the largest family e(d) N ; mean number of events before formation of the largest family from a singleton, f(d) N ; mean times of formation M(d) N and extinction E(d) N (in 1/λ units); the value of coefficient c(d) du = r du /λ; mean times of formation T(d) N in Ga (109 yrs) under r du = 2 × 10-8. The model parameters were genome-specific as determined previously [12]. and were the same for all model degrees according to (2.4). Species abbreviations: Sce, Saccharomyces cerevisiae, Dme, Drosophila melanogaster, Cel, Caenorhabditis elegans, Ath, Arabidopsis thaliana, Hsa, Homo sapiens, Tma, Thermotoga maritima, Mth, Methanothermobacter thermoautotrophicum, Sso, Sulfolobus solfataricus, Bsu, Bacillus subtilis, Eco, Escherichia coli.