Appendices: Conservation Strategy
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List of Appendices Appendix A Chronological List of the Grizzly Bear Recovery Process for the Greater Yellowstone Ecosystem Appendix B Estimating Numbers of Females with Cubs-of-the-Year in the Yellowstone Grizzly Bear Population Appendix C Calculation of Total Population Size and Mortality Limits Appendix D Existing Bear Foods and Related Monitoring Programs Appendix E Habitat Baseline 1998 and Monitoring Protocol Appendix F Lead Agencies for Actions under the Conservation Strategy Appendix G The Relationship between the Five Factors in Section 4(a)(1) of the ESA and the Existing Laws and Authorities Appendix H Grizzly Bear Management Plan for Southwestern Montana Appendix I Wyoming Grizzly Bear Management Plan Appendix J Yellowstone Grizzly Bear Management Plan (State of Idaho) Appendix K Reassessing Methods to Estimate Population Size and Sustainable Mortality Limits for the Yellowstone Grizzly Bear Appendix L Supplement to Reassessing Methods to Estimate Population Size and Sustainable Mortality Limits for the Yellowstone Grizzly Bear Appendix M Updating and Evaluating Approaches to Estimate Population Size and Sustainable Mortality Limits for Grizzly Bears in the Greater Yellowstone Ecosystem Appendix N Grizzly Bear Management Plan for the Wind River Reservation Appendix O Memorandum of Agreement Regarding the Management and Allocation of Discretionary Mortality of Grizzly Bears in the Greater Yellowstone Ecosystem Appendix A. Chronological List of the Grizzly Bear Recovery Process for the Greater Yellowstone Ecosystem I. Grizzly Bear Recovery Plan revision (1993) II. Workshop on habitat-based recovery criteria (1997) III. Achievement of recovery targets in the Recovery Plan for demographic values and for habitat criteria specified for that grizzly bear population (1999) IV. Conservation Strategy development for the Yellowstone area, including habitat-based recovery criteria, and release of draft Conservation Strategy for review (2000) V. Publication of Proposed Rule in the Federal Register (2005). Proposed Rule documents the status of the population according to the five factors in ESA Section 4(a)(1) including population and habitat status, and references Conservation Strategy for documentation of the existence of adequate regulatory mechanisms and consideration of DPS policy. VI. Public comment period with public hearings VII. Consideration and incorporation of public comments and any new information developed as a result of the comment period VIII. Publication of Final Rule in the Federal Register of status change or continuation of listed status in conjunction with release of the final Conservation Strategy, final Habitat Criteria, and final DPS analysis (2007). IX. Relisting of the Yellowstone grizzly bear population (2010) in compliance with an order from the District Court of Montana that overturned the final rule (2009). X. Concurrent publication in the Federal Register of the draft 2016 Conservation Strategy, draft Recovery Plan Supplement: Demographic Criteria, and Proposed Rule. Proposed Rule documents the status of the population according to the five factors in ESA Section 4(a)(1) including population and habitat status, and references Conservation Strategy for documentation of the existence of adequate regulatory mechanisms and consideration of DPS policy. XI. Public comment period with public hearings XII. Peer review XIII. Consideration and incorporation of public comments, peer review, and any new information developed as a result of the comment period XIV. MOU to implement the Conservation Strategy signed by all agencies Appendix A XV. Publication of Final Rule in the Federal Register of status change or continuation of listed status in conjunction with release of the final 2016 Conservation Strategy and final Recovery Plan Supplement: Demographic Criteria. Appendix B. Estimating Numbers of Females with Cubs-of-the-Year in the Yellowstone Grizzly Bear Population Appendix B ESTIMATINGNUMBERS OF FEMALESWITH CUBS-OF-THE-YEAR INTHE YELLOWSTONEGRIZZLY BEAR POPULATION KIMA. KEATING,U.S. GeologicalSurvey, Northern Rocky Mountain Science Center,Montana State University,Bozeman, MT 59717, USA, email: [email protected] CHARLESC. SCHWARTZ,U.S. GeologicalSurvey, Northern Rocky Mountain Science Center,Interagency Grizzly Bear Study Team, MontanaState University,Bozeman, MT59717, USA, email: [email protected] MARKA. HAROLDSON,U.S. GeologicalSurvey, Northern Rocky Mountain Science Center,Interagency Grizzly Bear StudyTeam, MontanaState University,Bozeman, MT59717, USA, email: [email protected] DAVIDMOODY, Wyoming Game and Fish Department,260 BuenaVista, Lander,WY 82520, USA, email: [email protected] Abstract: For grizzly bears (Ursus arctos horribilis) in the GreaterYellowstone Ecosystem (GYE), minimumpopulation size and allowable num- bers of human-causedmortalities have been calculatedas a functionof the numberof unique females with cubs-of-the-year(FCUB) seen duringa 3- year period. This approachunderestimates the total numberof FCUB,thereby biasing estimatesof populationsize and sustainablemortality. Also, it does not permitcalculation of valid confidence bounds. Many statisticalmethods can resolve or mitigate these problems,but there is no universal best method. Instead,relative performancesof differentmethods can vary with populationsize, sample size, and degree of heterogeneityamong sighting probabilitiesfor individualanimals. We compared7 nonparametricestimators, using Monte Carlo techniquesto assess performancesover the range of sampling conditions deemed plausible for the Yellowstone population. Our goal was to estimate the numberof FCUBpresent in the populationeach year. Ourevaluation differed from previouscomparisons of such estimatorsby including sample coverage methodsand by treating individualsightings, ratherthan sample periods, as the sample unit. Consequently,our conclusions also differ from earlierstudies. Recommenda- tions regardingestimators and necessary sample sizes are presented,together with estimates of annualnumbers of FCUBin the Yellowstone popula- tion with bootstrapconfidence bounds. Ursus 13:161-174 (2002) Key words: GreaterYellowstone Ecosystem, grizzly bear, nonparametricstatistics, populationestimation, Ursus arctos horribilis, Yellowstone National Park Criteria for recovering the grizzly bear in the lower has an equal probabilityof being sighted. Because this United States include annual limits on mortalities(U.S. assumptionis untenablefor the Yellowstone data (K.A. Fish and Wildlife Service 1993). Since 1993, these limits Keating, M.A. Haroldson,D. Moody,and C.C. Schwartz, have been calculatedas a function of the numberof FcB 1999, Estimatingthe numberof females with cubs-of-the- presentin the population,as estimatedduring 6-year run- yearin the Yellowstonegrizzly bearpopulation: are maxi- ning periods. Currently,the numberof Fcu presenteach mum-likelihoodestimates that assume equal sightability year (N) is estimatedas the numberof such animalsactu- conservative? U.S. Fish and Wildlife Service, Missoula, ally observed (Nobs). To the extent thatcriteria for distin- Montana,USA) estimatesbased on these methodswill be guishing family groups are conservative (see Knight et negativelybiased. Seekinga morerobust approach, Boyce al. 1995), and because it is highly unlikely that all such et al. (2001) recommendedjoint estimationof N over all animalsare seen, NobSalmost certainlyunderestimates N. years using an estimatorderived from the zero-truncated This helps ensure that mortalitylimits are conservative, negative binomial distribution. This estimator can be but precludes calculation of valid confidence bounds. tracedto Greenwoodand Yule (1920), with early applica- Moreover,use of a biased estimatorlike Nobseffectively tions to wildlife populationestimation by Tanton(1965, removesdecisions regarding the appropriatedegree of con- 1969) and Taylor(1966). The samplingmodel assumed servatism from the purview of managers. This is not a by the negative binomial estimatorallows for heteroge- trivial issue because the magnitudesof biases and uncer- neous sightingprobabilities among individualsand, thus, taintiesinherent in Nobsmay be biologically and manage- is equivalentto model Mh of Otis et al. (1978). Unfortu- rially significant. nately, Boyce et al. (2001) found that the negative bino- Efforts to calculate statistically sound estimates of N mial estimator gave reasonable results only when the have focused on parametricapproaches. Eberhardtand coefficient of variationamong individual sighting prob- Knight (1996) applied the Peterson-type estimators of abilities(CV) was assumedto be constantover time. This and Chapman Bailey (Seber 1982), andBoyce et al. (M.S. assumption is difficult to justify for grizzly bears in Boyce, D. MacKenzie,B.F.J. Manly, M.A. Haroldson,and Yellowstone, where year-to-yeardifferences in distribu- D. Cumulativecounts Moody, 1999, of unique individu- tions and abundancesof foods affect bearmovement pat- als for estimatingpopulation size, U.S. Fish and Wildlife ternsand, in turn,the likelihood of seeing particularbears Service, Missoula, Montana, USA) recommended the (Picton et al. 1986). Such differences almost certainly maximum likelihood method of Lewontin and Prout affect heterogeneityamong individual sighting probabili- These (1956). methods assume that each family group ties, implying thatCV varies amongyears. Also, because Appendix B 162 Ursus 13:2002 the size, distribution,and behavior of bear populations ticularsighting will be of