Cranial measurements were taken from 378 Ovis skulls (258 male, 120 female)
, covering most subspecies of wild sheep. Horn core length and circumferenc
e data were used to estimate the core surface. This highly vascularized ple
xus constitutes the radiating area. A simple index of heat-exchange capacit
y was calculated by dividing the combined surfaces of two horn cores by the
mass of the animal. This index provided a standard by means of which diffe
rent types of sheep could be compared, as well as allowing the detection of
correlations with environmental gradients, which would point to a thermore
gulatory role for horn cores. It can be assumed that, for sheep living in c
old climates, heat conservation is important, while for those living in hot
environments, enhanced heat dissipation would be advantageous. Our data co
nfirm this hypothesis. The thinhorn sheep (Ovis dalli and Ovis nivicola) of
subarctic and arctic northwestern North America and northern Siberia have
the smallest horn cores, with indices of 6.9-7.3 cm(2)/kg, while desert-dwe
lling types have indices of more than twice these values. For instance, the
desert subspecies of the American bighorns (Ovis canadensis nelsoni, Ovis
canadensis mexicana, Ovis canadensis cremnobates) have indices ranging from
15.1 to 16.5 cm(2)/kg. Other sheep types have indices of intermediate size
s. It is our position that this evolutionary trend to vary core size in res
ponse to ambient temperature is independent of a parallel trend to increase
horn size for the benefit of enhancing reproductive success.