We examined the effects of fire on population growth rate and extinction pr
obability of a rare prairie plant. Lomatium bradshawii (Apiaceae) is an end
angered species of western Oregon and Washington prairies that were frequen
tly burned by Native Americans prior to the late 1800s. Using data from map
ped plants in two populations subjected to different fall burning frequenci
es over a six-year period, we constructed stochastic transition matrix mode
ls to evaluate the effects of fire on the viability of the populations. Sto
chasticity was incorporated into the models through two methods performed b
y widely used computer programs: randomly shuffling whole annual matrices (
using POPPROJ2), or selecting each matrix element from a distribution with
observed mean and variance (with RAMAS/stage). Log-linear analysis was used
to test for site and treatment effects on transition rates. Unburned plots
had stochastic population growth rates (lambda (s)) of 0.905-0.927, depend
ing on the site and stochastic method. Burning twice in six years increased
X, to 0.946-1.091, and three burns yielded lambda (s) values of 0.996-1.17
3. The risk of extinction (100 yr, extinction defined as < 10 individuals)
was very high (97-99%) in the absence of fire for both methods and sites, b
ut with two burns it declined to 57% and 73% for matrix selection and eleme
nt selection, respectively, at one site, and less than or equal to 1% (both
methods) at the other. Extinction probability was very low (less than or e
qual to 1%) for both methods and sites after three burns. Although differen
t methods of incorporating stochasticity gave slightly different quantitati
ve results, they were qualitatively similar. Both site and treatment had si
gnificant effects on transition rates in the log-linear analyses. Elasticit
y analysis suggested that burning decreased the sensitivity of population g
rowth rate to mid-sized plants and increased the importance of seedlings. F
ire was an effective tool for maintaining viable populations of this specie
s, although the strength of its effects differed between locations.