A Sightability Model for Mountain Goats

Abstract Unbiased estimates of mountain goat (Oreamnos americanus) populations are key to meeting diverse harvest management and conservation objectives. We developed logistic regression models of factors influencing sightability of mountain goat groups during helicopter surveys throughout the Cascades and Olympic Ranges in western Washington during summers, 2004–2007. We conducted 205 trials of the ability of aerial survey crews to detect groups of mountain goats whose presence was known based on simultaneous direct observation from the ground (n = 84), Global Positioning System (GPS) telemetry (n = 115), or both (n = 6). Aerial survey crews detected 77% and 79% of all groups known to be present based on ground observers and GPS collars, respectively. The best models indicated that sightability of mountain goat groups was a function of the number of mountain goats in a group, presence of terrain obstruction, and extent of overstory vegetation. Aerial counts of mountain goats within groups did not differ greatly from known group sizes, indicating that under-counting bias within detected groups of mountain goats was small. We applied Horvitz–Thompson-like sightability adjustments to 1,139 groups of mountain goats observed in the Cascade and Olympic ranges, Washington, USA, from 2004 to 2007. Estimated mean sightability of individual animals was 85% but ranged 0.75–0.91 in areas with low and high sightability, respectively. Simulations of mountain goat surveys indicated that precision of population estimates adjusted for sightability biases increased with population size and number of replicate surveys, providing general guidance for the design of future surveys. Because survey conditions, group sizes, and habitat occupied by goats vary among surveys, we recommend using sightability correction methods to decrease bias in population estimates from aerial surveys of mountain goats.

[1]  D. Houston,et al.  An Aerial Census of Mountain Goats in the Olympic Mountain Range, Washington , 1986 .

[2]  Michael D. Samuel,et al.  Visibility Bias during Aerial Surveys of Elk in Northcentral Idaho , 1987 .

[3]  M. D. Samuel,et al.  Sightability adjustment methods for aerial surveys of wildlife populations , 1989 .

[4]  H. J. Arnold Introduction to the Practice of Statistics , 1990 .

[5]  D. Hosmer,et al.  Applied Logistic Regression , 1991 .

[6]  Douglas B. Houston Edward G. Schreiner Bruce B. Moorhead Mountain Goats in Olympic National Park: Biology and Management of an Introduced Species , 1994 .

[7]  E. O. Garton,et al.  A sight ability model for bighorn sheep in canyon habitats , 1995 .

[8]  J. Concato,et al.  A simulation study of the number of events per variable in logistic regression analysis. , 1996, Journal of clinical epidemiology.

[9]  S. Côté Mountain goat responses to helicopter disturbance , 1996 .

[10]  R. Elswick,et al.  Interpretation of the odds ratio from logistic regression after a transformation of the covariate vector. , 1997, Statistics in medicine.

[11]  Joseph L Schafer,et al.  Analysis of Incomplete Multivariate Data , 1997 .

[12]  Duane R. Diefenbach,et al.  Effect of undercounting and model selection on a sightability-adjustment estimator for elk , 1998 .

[13]  C. Anderson,et al.  DEVELOPMENT AND EVALUATION OF SIGHTABILITY MODELS FOR SUMMER ELK SURVEYS , 1998 .

[14]  J. Schafer Multiple imputation: a primer , 1999, Statistical methods in medical research.

[15]  S. van Buuren,et al.  Flexible mutlivariate imputation by MICE , 1999 .

[16]  S. van Buuren,et al.  Multivariate Imputation by Chained Equations : Mice V1.0 User's manual , 2000 .

[17]  David R. Anderson,et al.  Model selection and inference : a practical information-theoretic approach , 2000 .

[18]  Frank E. Harrell,et al.  Regression Modeling Strategies: With Applications to Linear Models, Logistic Regression, and Survival Analysis , 2001 .

[19]  Margo A. Stoddard,et al.  Wildlife-Habitat Relationships in Oregon and Washington , 2001 .

[20]  S. Mccorquodale,et al.  Sex-specific bias in helicopter surveys of elk: Sightability and dispersion effects , 2001 .

[21]  J. Schafer,et al.  Missing data: our view of the state of the art. , 2002, Psychological methods.

[22]  David R. Anderson,et al.  Model selection and multimodel inference : a practical information-theoretic approach , 2003 .

[23]  Alberta. Management plan for mountain goats in Alberta. , 2003 .

[24]  W. Kendall,et al.  A General Model for the Analysis of Mark‐Resight, Mark‐Recapture, and Band‐Recovery Data under Tag Loss , 2004, Biometrics.

[25]  D G Altman,et al.  Missing covariate data within cancer prognostic studies: a review of current reporting and proposed guidelines , 2004, British Journal of Cancer.

[26]  Aaron J. Poe,et al.  Mountain goat response to helicopter overflights in Alaska , 2005 .

[27]  S. Côté,et al.  Population Dynamics and Harvest Potential of Mountain Goat Herds in Alberta , 2006 .

[28]  George R. Pauley,et al.  Evaluation of Paintball, Mark–Resight Surveys for Estimating Mountain Goat Abundance , 2006 .

[29]  M. Leeder,et al.  Physical processes in earth and environmental sciences , 2006 .

[30]  L. Adams,et al.  Evaluation of Aerial Survey Methods for Dall's Sheep , 2006 .

[31]  K. Poole Does survey effort influence sightability of mountain goats Oreamnos americanus during aerial surveys? , 2007 .

[32]  Ken P Kleinman,et al.  Much Ado About Nothing , 2007, The American statistician.

[33]  Michael G Kenward,et al.  Multiple imputation: current perspectives , 2007, Statistical methods in medical research.

[34]  Mountain Goats: Ecology, Behavior, and Conservation of an Alpine Ungulate , 2007 .

[35]  C. Rice,et al.  Hematologic and Biochemical Reference Intervals for Mountain Goats (Oreamnos americanus): Effects of Capture Conditions , 2007 .