Sample darwin calculations

Calculation of evolutionary rates in darwins

x1

x2

interval in years

delta-t My

ln x1

ln x2

lnx2-lnx1

darwins

ln(rate)

ln(delta-t)

The following examples are from the literature, and are presented as examples of calculations only. See the original papers for more detailed data.  

Horses' first molar height (mm)

8.360

34.080

15000000

15

2.123

3.529

1.405

0.094

-2.368

2.708

Source: MacFadden, B. 1992. Fossil horses. Systematics, paleobiology, and evolution of the Family Equidae. Cambridge Univ. Press, N.Y.

Cnemidopyge Ordovician trilobite number of ribs (Sheldon)

5.500

8.500

3000000

3

1.705

2.140

0.435

0.145

-1.930

1.099

Source: Sheldon, P.R. 1987. Parallel gradualistic evolution of Ordovician trilobites. Nature, 330:561-3.

Gasterosteus dorsal fin rays (Bell et al.)

8.500

9.500

60000

0

2.140

2.251

0.111

1.854

0.617

-2.813

The following examples are from the Horsefly Eocene fish studies of Wilson et al. and are presented as examples to illustrate the concepts only.

Example of H2 fish Dorsal rays

23

22

600

0.001

3.135

3.091

0.044

74.086

4.305

-7.419

 

Example of H3 fish Dorsal rays

23

22

6000

0.006

3.135

3.091

0.044

7.409

2.003

-5.116

 

Example of H3 fish Anal pterygiophores

9

8

6000

0.006

2.197

2.079

0.118

19.631

2.977

-5.116


Last Updated on 26/1/00
By Mark V. H. Wilson