Table 1. Minimum, maximum, and intermediate input values used in perturbation analysis for a stage-based population model that predicts extinction rates of large-bodied woodpeckers. Instantaneous rate of population growth (λ) represents the expected population trajectory in the absence of stochasticity in the model.

Mean   Variance    
Parameter Δθa Min. Interm. Max.   Δθa Min. Interm. Max.   Data sources
Initial number of adults 1 5 17 30 - - - -   Tanner 1942
Fecundity 0.039 0.67 1.06 1.65 0.002 0.0022 0.0160 0.051   Tanner 1942, Bonar 2001, Mattsson and Christensen, unpublished data
Annual adult survival rate 0.008 0.7 0.8 0.9 0.004 0.0076 0.0394 0.096   Bonar 2001, Loehle 2005, Mattsson and Christensen, unpublished data
Population growth rate (λ)b - 0.93 1.22 1.64   - - - -   = S + F * 0.5 * S
aConstant used in fine-scale perturbation analysis (See Appendix 1).
bCalculation of female population growth rate is based on fecundity (F: number of female fledglings/adult female) and annual survival (S). The calculation also assumes that juvenile survival is one-half of adult survival, and females can breed 1 yr after they hatch.