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Table 7 Results of LMM2 (A), LMM3 (B), LMM4 (C) and LMM5 (D) for the effect of ventral patch expression (LTE vs HTE) of adult male Iberian red deer (Cervus elaphus hispanicus) on the Principal Component PC1 (A), PC2 (B), PC3 (C) and PC4 (D) representing reproductive activity for which there were data for both LTE and HTE males. Analyses controlled for the number of antler tines. Reference levels for factors are shown in brackets. Significant effects are showed in bold (p-value = 0.05). Table also shows variance and standard errors (SE) of random effects (individual and year), as well as the residual variance of the model

From: The dark-ventral-patch of male red deer, a sexual signal that conveys the degree of involvement in rutting behavior

(A) Response variable: PC1

Estimate (± SE)

df

t-value

p-value

Fixed factors

 Intercept

- 0.343 ± 0.443

11.168

- 0.774

0.539

 Trait expression (HTE)

0.507 ± 0.158

192.233

3.197

< 0.002

 Antler tines

- 0.002 ± 0.032

24.066

- 0.068

0.953

Random factors:

Individual: variance ± SE = 0.000 ± 0.000; Year = 0.009 ± 0.158; Residual = 1.369 ± 1.170

(B) Response variable: PC2

Estimate (± SE)

df

t-value

p-value

Fixed factors

 Intercept

- 0.746 ± 0.623

20.458

- 1.198

0.299

 Trait expression (HTE)

0.088 ± 0.168

187.892

0.526

0.605

 Antler tines

0.043 ± 0.040

39.293

1.050

0.351

Random factors:

Individual: variance ± SE = 0.064 ± 0.252; Year = 0.157 ± 0.396; Residual = 1411 ± 1188

(C) Response variable: PC3

Estimate (± SE)

df

t-value

p-value

Fixed factors

 Intercept

- 1.404 ± 0.714

18.268

- 1.974

0.073

 Trait expression (HTE)

- 0.129 ± 0.129

180.146

0.997

0.326

 Antler tines

0.116 ± 0.041

68.564

2.850

0.008

Random factors:

Individual: variance ± SE = 0.262 ± 0.512; Year = 0.596 ± 0.772; Residual = 0.614 ± 0.784

(D) Response variable: PC4

Estimate (± SE)

df

t-value

p-value

Fixed factors

 Intercept

- 1.404 ± 0.711

18.268

- 1.974

0.074

 Trait expression (HTE)

- 0.129 ± 0.129

180.146

0.997

0.326

 Antler tines

0.116 ± 0.041

68.564

2.850

0.008

Random factors:

Individual: variance ± SE = 0.262 ± 0.512; Year = 0.596 ± 0.772; Residual = 0.614 ± 0.784