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. 2017 Jan 4;118(5):442–452. doi: 10.1038/hdy.2016.116

Table 1. The influence of MHC genotypic combination of mates on male sperm velocity in ovarian fluid in Chinook salmon.

  Estimate Variance (%) Lower 95% CI Upper 95% CI pMCMC
Fixed effects
 Intercept 59.58   41.08 74.73  
 AAI 0   −0.016 0.014 0.952
 Season 21.37   6.190 35.612 0.008
Random effects
 Female (10) 47.05 8.03 <0.001 212.770  
 Male (27) 133.95 22.86 <0.001 269.263  
 Female–Male (57) 266.25 45.42 113.135 427.263  
 Residual 138.93 23.70 99.881 184.834  
Summary statistics
 Marginal R2 0.13        
 Conditional R2 0.80        
Fixed effects
 Intercept 56.13   37.867 72.534  
 AAII/PBRII 29.39   −101.089 150.775 0.662
 Season 21.49   6.327 38.960 0.012
Random effects
 Female (10) 52.99 9.08 <0.001 205.096  
 Male (27) 131.03 22.45 <0.001 278.514  
 Female–Male (57) 259.28 44.43 107.408 413.900  
 Residual 140.29 24.04 101.970 186.994  
Summary statistics
 Marginal R2 0.13        
 Conditional R2 0.80        
Fixed effects
 Intercept 62.67   40.074 81.172  
 PBRI 0.00   −0.012 0.006 0.52
 Season 22.00   5.298 36.864 0.008
Random effects
 Female (10) 66.89 11.48 <0.001 240.959  
 Male (27) 123.15 21.14 <0.001 263.199  
 Female–Male (57) 253.21 43.47 113.123 419.656  
 Residual 139.15 23.91 97.164 188.349  
Summary statistics
 Marginal R2 0.13        
 Conditional R2 0.79        
Fixed effects
 Intercept 58.68   46.396 72.988  
 MxyI 2.26   −9.320 14.469 0.68
 Season 21.08   5.536 35.962 0.014
Random effects
 Female (10) 45.11 7.82 <0.001 215.784  
 Male (27) 129.94 22.53 <0.001 280.324  
 Female–Male (57) 264.46 45.86 95.492 432.000  
 Residual 137.18 23.79 98.802 183.879  
Summary statistics
 Marginal R2 0.13        
 Conditional R2 0.80        
Fixed effects
 Intercept 65.339   51.112 81.668  
 MxyII −5.18   −11.660 1.641 0.136
 Season 22.77   5.433 37.791 0.01
Random effects
 Female (10) 57.04 9.95 <0.001 231.801  
 Male (27) 137.89 24.07 24.964 276.052  
 Female–Male (57) 241.61 42.28 95.605 393.166  
 Residual 136.30 23.79 97.052 181.299  
Summary statistics
 Marginal R2 0.13        
 Conditional R2 0.80        

Abbreviations: CI, confidence interval; MHC, major histocompatibility complex; PBR, peptide-binding region.

MCMCglmm analyses yielded significant pMCMC values (in bold) of fixed effects (season, MHC divergence). The amount of variation explained by fixed effects (marginal R2) and by the whole model (conditional R2) are reported. The variance (%) explained by each random effect refers to the total variance by all random effects (female identity (n=10), male identity (n=27), female–male interaction (n=58) and the residual variance. Following estimates of divergence between mates at MHC class I and II were tested for an impact on sperm velocity in ovarian fluid: i) divergence at the peptide sequence at the whole exon (denoted AAI and AAII), ii) divergence at the putative sites involved in peptide binding only (PBRI and PBRII) and iii) number of MHC alleles shared between mates (MxyI and MxyII). As all polymorphic sites at MHC class I are part of the PBR, divergence at the whole exon and the PBR are identical and thus, not listed separately.