APPENDIX I

Estimated sire standard deviation (diagonal) and genetic correlations (below diagonal) considered in the Interbull routine evaluation for Ayrshire conformation traits of August 2004; sire standard deviation estimates are determined on a  de-standardized transmitting ability scale. Countries not submitting data for a trait, or where data are excluded from the evaluation, have blank rows and columns.

AUS=Australia, CAN=Canada, DNK=Denmark, FIN=Finland, GBR=United Kingdom, NOR=Norway, NZL=New Zealand, SWE=Sweden, USA=United States

Correlation matrix for :: stature
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.29
CAN 0.84 4.03
DNK 0.80 0.97 0.17
FIN 0.91 0.92 0.91 0.46
GBR 0.91 0.95 0.94 0.94 0.56
NOR
NZL 0.91 0.87 0.85 0.98 0.92 0.25
SWE 0.85 0.96 0.95 0.94 0.92 0.91 1.32
USA 0.86 0.97 0.91 0.91 0.94 0.87 0.91 2.08

Correlation matrix for :: chest width
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.22
CAN 0.64 2.33
DNK 0.63 0.83 1.53
FIN 0.42 0.41 0.07 0.24
GBR 0.82 0.82 0.84 0.52 0.28
NOR 0.75 0.28 0.42 0.40 0.69 0.76
NZL
SWE 0.71 0.55 0.39 0.80 0.78 0.82 0.17
USA 0.67 0.84 0.78 0.62 0.88 0.61 0.80 1.17

Correlation matrix for :: body depth
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.21
CAN 0.60 2.87
DNK 0.61 0.79 1.24
FIN 0.74 0.57 0.75 0.28
GBR 0.71 0.81 0.77 0.79 0.29
NOR
NZL 0.86 0.49 0.46 0.69 0.61 0.19
SWE 0.72 0.41 0.74 0.84 0.73 0.48 0.19
USA 0.69 0.77 0.79 0.71 0.91 0.67 0.70 1.08

Correlation matrix for :: angularity
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.27
CAN 0.52 3.03
DNK 0.73 0.75 0.61
FIN 0.67 0.83 0.78 0.20
GBR 0.60 0.85 0.86 0.73 0.47
NOR
NZL
SWE 0.70 0.58 0.88 0.66 0.82 0.21
USA 0.68 0.79 0.82 0.60 0.86 0.77 0.86

Correlation matrix for :: rump angle
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.20
CAN 0.94 2.60
DNK 0.90 0.97 0.85
FIN 0.86 0.93 0.98 0.32
GBR 0.96 0.98 0.98 0.95 0.23
NOR 0.89 0.93 0.93 0.91 0.93 0.81
NZL 0.96 0.90 0.89 0.88 0.95 0.81 0.15
SWE 0.81 0.92 0.98 0.99 0.93 0.87 0.83 0.30
USA 0.93 0.99 0.98 0.95 0.97 0.95 0.89 0.94 0.99

Correlation matrix for :: rump width
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.24
CAN 0.75 2.75
DNK 0.79 0.92 0.90
FIN 0.79 0.67 0.85 0.25
GBR 0.79 0.91 0.90 0.87 0.36
NOR
NZL 0.87 0.82 0.89 0.85 0.88 0.16
SWE 0.87 0.71 0.86 0.95 0.84 0.87 0.21
USA 0.74 0.91 0.89 0.75 0.93 0.82 0.80 1.24

Correlation matrix for :: rear leg set
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.12
CAN 0.55 2.16
DNK 0.49 0.98 1.15
FIN 0.19 0.87 0.82 0.27
GBR 0.79 0.84 0.82 0.55 0.31
NOR 0.07 0.86 0.87 0.93 0.58 0.82
NZL 0.61 0.47 0.55 0.03 0.76 0.24 0.06
SWE 0.31 0.95 0.95 0.92 0.75 0.97 0.39 0.22
USA 0.53 0.96 0.94 0.80 0.83 0.84 0.56 0.93 0.71

Correlation matrix for :: rear leg rear view
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS
CAN
DNK 0.92
FIN 0.96 0.25
GBR
NOR 0.68 0.56 0.79
NZL
SWE 0.87 0.78 0.92 0.24
USA

Correlation matrix for :: foot angle
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.16
CAN 0.61 2.15
DNK 0.60 0.65 1.29
FIN 0.69 0.63 0.49 0.21
GBR 0.83 0.75 0.73 0.55 0.37
NOR 0.27 0.45 0.47 0.52 0.61 0.81
NZL
SWE 0.72 0.45 0.84 0.74 0.66 0.55 0.18
USA 0.77 0.74 0.78 0.63 0.83 0.35 0.68 0.77

Correlation matrix for :: fore udder
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.26
CAN 0.82 2.15
DNK 0.73 0.94 0.80
FIN 0.31 0.55 0.76 0.29
GBR 0.80 0.78 0.83 0.65 0.29
NOR 0.42 0.80 0.85 0.71 0.45 0.86
NZL 0.81 0.71 0.72 0.44 0.80 0.34 0.19
SWE 0.31 0.65 0.80 0.93 0.69 0.77 0.33 0.28
USA 0.82 0.94 0.92 0.63 0.89 0.68 0.81 0.69 1.21

Correlation matrix for :: rear udder height
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.25
CAN 0.79 2.28
DNK 0.79 0.94 1.16
FIN 0.58 0.58 0.68 0.38
GBR 0.89 0.82 0.89 0.63 0.35
NOR 0.61 0.79 0.87 0.59 0.64 0.88
NZL 0.87 0.81 0.87 0.70 0.90 0.70 0.17
SWE 0.60 0.83 0.94 0.76 0.76 0.89 0.74 0.26
USA 0.82 0.90 0.90 0.62 0.89 0.58 0.85 0.77 1.08

Correlation matrix for :: udder support
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.22
CAN 0.68 2.00
DNK 0.64 0.92 0.98
FIN 0.61 0.71 0.78 0.29
GBR 0.65 0.75 0.84 0.45 0.14
NOR 0.56 0.87 0.85 0.75 0.56 0.85
NZL 0.72 0.61 0.46 0.41 0.50 0.50 0.17
SWE 0.56 0.88 0.95 0.83 0.68 0.94 0.48 0.23
USA 0.76 0.81 0.86 0.72 0.76 0.63 0.68 0.79 1.00

Correlation matrix for :: udder depth
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.23
CAN 0.93 2.05
DNK 0.92 0.97 0.84
FIN 0.77 0.84 0.93 0.33
GBR 0.96 0.93 0.94 0.76 0.25
NOR
NZL
SWE 0.91 0.93 0.98 0.92 0.93 0.30
USA 0.95 0.94 0.97 0.88 0.94 0.98 1.17

Correlation matrix for :: front teat placement
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.37
CAN 0.91 1.79
DNK 0.91 0.98 0.43
FIN 0.71 0.85 0.84 0.33
GBR 0.88 0.93 0.93 0.83 0.25
NOR 0.48 0.68 0.66 0.54 0.80 0.69
NZL 0.93 0.91 0.92 0.82 0.88 0.53 0.15
SWE 0.73 0.93 0.92 0.90 0.89 0.78 0.82 0.30
USA 0.86 0.91 0.92 0.66 0.91 0.77 0.82 0.86 1.16

Correlation matrix for :: teat length
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.21
CAN
DNK -0.89 0.64
FIN 0.86 -0.99 0.42
GBR 0.97 -0.96 0.94 0.34
NOR 0.93 -0.69 0.66 0.85 0.72
NZL
SWE 0.93 -0.96 0.97 0.97 0.81 0.39
USA 0.96 -0.96 0.95 0.97 0.82 0.97 1.27

Correlation matrix for :: rear teat placement
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS
CAN 10.33
DNK 0.95 0.67
FIN 0.72 0.90 0.42
GBR
NOR
NZL 0.97 0.95 0.78 0.17
SWE
USA

Correlation matrix for :: overall conformation
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.34
CAN 0.61 6.29
DNK 0.55 0.35 0.59
FIN
GBR 0.72 0.54 0.66 0.92
NOR -0.15 0.25 -0.38 -0.52 0.86
NZL 0.70 0.39 0.40 0.48 0.30 0.14
SWE 0.24 0.69 -0.31 -0.08 0.80 0.36 0.19
USA 0.76 0.84 0.60 0.67 0.21 0.74 0.50 0.63

Correlation matrix for :: overall udder
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.39
CAN 0.73 2.94
DNK 0.60 0.90 0.67
FIN
GBR 0.72 0.55 0.65 1.00
NOR -0.03 0.51 0.48 0.03 0.66
NZL 0.79 0.86 0.81 0.66 0.16 0.19
SWE 0.55 0.88 0.91 0.61 0.74 0.69 0.21
USA

Correlation matrixfor :: overall feet & legs
AUS CAN DNK FIN GBR NOR NZL SWE USA
AUS 0.16
CAN 0.14 3.60
DNK 0.36 0.76 0.62
FIN
GBR 0.31 0.43 0.63 0.95
NOR -0.41 0.72 0.27 -0.07 0.82
NZL
SWE 0.07 0.73 0.76 0.54 0.61 0.15