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Table 3 Family evolution under the cubic BDIM (d = 3).

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

 

N

P(d)(1,N)

e (d) N

E (d) N

f (d) N

M (d) N

M(d) N /E(d) N

c(d) du = r du vλ

T (d) N

Sc e

130

0.105

12315.7

0.944

12306

4.60

4.84

92.46

21.3

Dme

335

0.222

60759.4

1.390

60755

2.45

1.76

549.65

67.3

Cel

662

0.283

208472

1.804

208469

2.10

1.17

2020.37

212.1

Ath

1535

0.255

1.29*106

1.390

1.29*106

1.93

1.39

3754.83

362.3

Hsa

1151

0.254

756242

1.291

756238

1.65

1.27

2938.07

242.4

Tma

97

0.019

9442.5

0.781

9390

24.5

31.4

18.84

23.1

Mth

43

0.061

1530.2

0.848

1514

7.85

9.24

18.26

7.2

Sso

81

0.073

4799.6

0.960

4786

7.21

7.51

36.71

13.2

Bsu

124

0.088

10265.3

1.059

10254

6.40

6.04

63.38

20.3

Eco

140

0.071

14459.9

0.957

14446

7.34

7.67

65.06

23.9

  1. For the cubic BDIM (d = 3) 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 vλ; mean times of formation T(d) N in Ga (109 yrs) under r du = 2 × 10-8. The model parameters were the same as for the linear model 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.