Table 3 Parameter estimates showing the effects of inbreeding, maternal inbreeding, population density and the interaction between inbreeding and population density

From: Inbreeding depression by environment interactions in a free-living mammal population

Trait

Sample size a

Parameter

Main effects only

ID × E interaction fitted

   

Estimate

P

Estimate

P

Birth weight

2810

Inbreeding

−0.13 (0.234)

0.579

−1.666 (0.887)

0.597

 

697

Maternal inbreeding

−0.865 (0.419)

0.04

1.469 (1.24)

0.037

  

Density

−0.001 (0)

<0.001

−0.001 (0)

<0.001

  

Density:inbreeding

  

0.003 (0.002)

0.071

  

Density:maternal inbreeding

  

−0.005 (0.002)

0.045

4-Month hindleg

1665

Inbreeding

−14.616 (6.39)

0.022

−15.922 (24.861)

0.025

 

582

Maternal inbreeding

−13.988 (9.411)

0.138

42.509 (31.402)

0.136

  

Density

−0.032 (0.003)

<0.001

−0.033 (0.003)

<0.001

  

Density:inbreeding

  

0.003 (0.051)

0.947

  

Density:maternal inbreeding

  

−0.122 (0.064)

0.059

4-Month weight

1661

Inbreeding

−3.881 (1.453)

0.008

−6.794 (5.666)

0.009

 

582

Maternal inbreeding

−4.541 (2.339)

0.053

7.994 (7.299)

0.05

  

Density

−0.008 (0.001)

<0.001

−0.009 (0.001)

<0.001

  

Density:inbreeding

  

0.006 (0.012)

0.586

  

Density:maternal inbreeding

  

−0.027 (0.015)

0.069

Female first winter survival

1219

Inbreeding

−6.535 (−13.138, 0.717)

0.066

24.112 (−7.898, 60.656)

0.153

 

531

Maternal inbreeding

2.385 (−6.207, 11.396)

0.595

−9.781 (−50.485, 30.445)

0.626

  

Density

−0.0142 (−0.0208, −0.0075)

<0.001

−0.0144 (−0.0214, −0.008)

<0.001

  

Density:inbreeding

  

−0.064 (−0.136, 0.003)

0.06

  

Density:maternal inbreeding

  

0.024 (−0.053, 0.103)

0.549

Adult female annual survival

640 (3229)

Inbreeding

−11.284 (−17.221, −5.071)

<0.001

27.889 (−6.84, 63.545)

0.115

 

371

Maternal inbreeding

−2.363 (−10.13, 4.628)

0.515

−1.904 (−9.046, 5.685)

0.609

  

Density

−0.0088 (−0.0142, −0.004)

0.002

−0.0092 (−0.0148, −0.0041)

0.002

  

Density:inbreeding

  

−0.068 (−0.131, −0.009)

0.02

Female annual breeding success

640 (3229)

Inbreeding

−1.915 (−3.573, −0.221)

0.025

−3.191 (−10.274, 4.56)

0.396

 

371

Maternal inbreeding

−1.002 (−2.826, 0.689)

0.261

−0.987 (−2.763, 0.779)

0.279

  

Density

−5e−04 (−0.001, 1e−04)

0.074

−5e−04 (−0.001, 1e−04)

0.098

  

Density:inbreeding

  

0.003 (−0.012, 0.017)

0.73

Male first winter survival

1035

Inbreeding

−11.37 (−18.878, −2.655)

0.008

−26.53 (−68.359, 18.52)

0.24

 

507

Maternal inbreeding

−7.681 (−17.709, 1.954)

0.121

21.771 (−24.959, 67.008)

0.369

  

Density

−0.0211 (−0.0325, −0.0113)

<0.001

−0.0217 (−0.0325, −0.0105)

<0.001

  

Density:inbreeding

  

0.03 (−0.054, 0.112)

0.492

  

Density:maternal inbreeding

  

−0.06 (−0.158, 0.028)

0.202

Adult male annual survival

446 (1251)

Inbreeding

−11.088 (−19.592, −2.965)

0.01

−8.427 (−59.569, 41.515)

0.748

 

295

Maternal inbreeding

4.223 (−5.628, 13.636)

0.398

4.198 (−5.607, 14.134)

0.389

  

Density

−0.0138 (−0.0236, −0.0046))

0.003

−0.0139 (−0.0232, −0.0045)

0.001

  

Density:inbreeding

  

−0.005 (−0.089, 0.084)

0.924

Male annual breeding success

446 (1251)

Inbreeding

−8.753 (−14.812, −2.725)

0.003

−10.635 (−29.217, 5.978)

0.23

 

295

Maternal inbreeding

2.752 (−4.501, 9.211)

0.424

2.765 (−4.313, 9.555)

0.427

  

Density

−0.0024 (−0.0042, −5e−04)

0.014

−0.0024 (−0.0043, −6e−04)

0.015

  

Density:inbreeding

  

0.004 (−0.031, 0.036)

0.839

  1. Abbreviation: ID × E, inbreeding depression by environment interaction.
  2. Density is for 1 October before birth for the juvenile body size traits and for 1 October before winter and parturition for the fitness components. Parameter estimates show s.e. for juvenile body size traits and 95% credibility intervals for fitness components. Note that slope estimates for density are for each additional sheep in the population which varied between 211 and 672 across the study years. Statistically significant P values are shown in bold.
  3. aNumbers give the number of unique individuals and the number of observations is shown in parentheses.