Initial appraisals of the status of endangered large-mammal populations may
have to depend on indices of population trend. Such indices may possibly b
e improved by using auxiliary variables. Various models were studied for po
pulations of the Florida manatee (Trichechus manatus latirostris), Yellowst
one grizzly bear (Ursus arctos horribilis), and Hawaiian monk seal (Monachu
s schauinslandi). Several criteria for checking validity of the fitted mode
ls were considered, and the simple R-2 criterion appears to provide useful
comparisons. Multiple regression models overestimated the rate of change of
the East Coast manatee population as determined from three other sources (
a covariance model, a non-linear model, and the rate estimated from reprodu
ctive and survival data). A multiple regression model for grizzly bears usi
ng three auxiliary variables exhibited a fairly high R-2 (0.84)and appeared
to provide a better fit than did a non-linear model. A beach count index f
or Hawaiian monk seals seemed to be unreliable for year-to-year comparisons
in contrast to total population counts and estimates from a capture-recapt
ure method. The use of auxiliary variables for checking and improving trend
index data appears feasible and well worthwhile.