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Table 2 Curve estimations of the distribution of individual frequency per rank for each age-sex category in the large group of chacma baboons

From: Group decision-making in chacma baboons: leadership, order and communication during movement

Category

Function

R2

F

P

equation

 

Linear

0.04

4.42

0.038

y = -3E-05x + 0.0119

Adult males

Parabolic

0.19

23.43

< 0.0001

y = 9 E-06 x 2 - 0.0009x + 0.026

 

Cubic

0.08

9.35

0.003

y = -2E-08x3 + 1E-05x2 - 0.001x + 0.0268

 

Linear

0.14

16.17

0.0001

y = 4E-05x + 0.0072

Adult females

Parabolic

0.32

46.35

< 0.0001

y = 2 E-06 x 2 - 0.0001x + 0.0105

 

Cubic

0.21

28.50

< 0.0001

y = -8E-09x3 + 3E-06x2 - 0.0002x + 0.011

 

Linear

0.00

0.40

0.529

y = 2E-05x + 0.0079

Sub-adults

Parabolic

0.02

1.45

0.231

y = 2E-06x2 - 0.0001x + 0.0101

 

Cubic

0.03

2.64

0.108

y = 1E-07x3 - 1E-05x2 + 0.0004x + 0.0058

 

Linear

0.013

0.50

0.479

y = -2E-05x + 0.0093

Juveniles

Parabolic

0.25

35.21

< 0.0001

y = -3 E-06 x 2 + 0.0003x + 0.0038

 

Cubic

0.17

21.67

< 0.0001

y = 9E-08x3 - 2E-05x2 + 0.0008x - 0.0005

  1. Results in bold indicate the best-fitting function explaining the distribution. R2 are adjusted according to the number of free parameters.