{"id":222,"date":"2017-04-18T03:04:34","date_gmt":"2017-04-18T03:04:34","guid":{"rendered":"http:\/\/sites.warnercnr.colostate.edu\/gwhite\/?page_id=222"},"modified":"2017-04-18T03:04:34","modified_gmt":"2017-04-18T03:04:34","slug":"generalized-capture-recapture-band-recovery-analysis-theory","status":"publish","type":"page","link":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/generalized-capture-recapture-band-recovery-analysis-theory\/","title":{"rendered":"Generalized Capture-Recapture and Band-Recovery Analysis Theory"},"content":{"rendered":"

Contents<\/a> – Index<\/a><\/span><\/p>\n

\n

Generalized Capture-Recapture and Band-Recovery Analysis Theory<\/b><\/span><\/p>\n

Sampling and analysis theory for biological populations has also seen an explosion in the literature in recent years (Fig.\u00a0 1).\u00a0 Fig.\u00a0 1 shows the rapid increase in the amount of literature on theory and application, but also indicates a slowing in the rate<\/i> of increase. We attribute this to the fact that the questions remaining are increasingly difficult to address.\u00a0 That is, the easier problems have been solved and only the harder ones remain.\u00a0 The solution to these more difficult problems requires increased knowledge and sophistication in mathematical statistics and computer science and thus, fewer people can contribute.\u00a0 In general, additional advances and extensions are possible due to new findings in the science of statistics and increased computer capabilities.<\/span>
\nThe literature on estimation methods for biological populations can be partitioned into two groups; the first relates to unmarked populations and makes simple (often unrealistic) assumptions and results in estimates with high precision but often very large bias, while the second assumes that a sample of animals are marked and allows more realistic assumptions, considers several candidate models and results in estimates of population parameters with less precision, but often negligible bias.\u00a0 Unless animals are marked, very strong assumptions must be made, or parameters of interest cannot be identified.\u00a0 This leads to the frequent requirement that animals are marked, at least with a batch mark; however, unique, individual marks are necessary for most advanced analyses.\u00a0 The use of marked animal populations is critical in many applications (including risk assessment, Anderson et al. unpubl. ms.), but then one must address the proper simultaneous estimation of survival and recapture probabilities.\u00a0 The presence of the recapture probabilities (sampling probabilities) makes modeling and estimation difficult for capture data.\u00a0\u00a0<\/span>
\nKeystone papers for open population capture-recapture models are Cormack (1964), Jolly (1965) and Seber (1965).\u00a0 The fundamental papers for band recovery models are Seber (1970), Robson and Youngs (1971), and Brownie et al. (1978).\u00a0 A very extensive literature provides many important extensions to these early cornerstones. Books by Morgan and North (1980), North (1987), Anonymous (1990), Blondel et al. (1990), Lebreton et al. (1990), Perrins et al. (1991), and Lebreton and North (1993) provide strong evidence of the explosion in the theory and application on capture-recapture and band recovery methods just for avian species!\u00a0 Other taxonomic groups are discussed in the large book by McCullough and Barrett (1992).<\/span>
\nThe Pollock et al. (1990) monograph provides a summary of the Jolly-Seber type models and illustrates their application.\u00a0 Computer programs JOLLY<\/i> and JOLLYAGE<\/i> accompany this monograph and allow careful testing and the computation of the maximum likelihood estimates (MLEs).\u00a0 Burnham et al. (1987) provides a comprehensive theory for manipulative experiments with marked animal populations.\u00a0 This book provides documentation for program RELEASE, a sophisticated computational algorithm for analysis of capture-recapture experimentation, including an efficient goodness of fit testing routine.\u00a0 The focus of the book by Burnham et al. (1987) is on fish populations, however, the application is more general (examples are given of applications to pintail ducks, desert tortoise, lazuli buntings, and European starlings).<\/span>
\nLebreton et al. (1992) provides many extensions for open population capture-recapture modeling, including quasi-likelihood theory, modeling survival or recapture probabilities as functions of external covariates, and Akaike-type model selection strategies.\u00a0 Program SURGE<\/i> (Pradel 1989) provides unparalleled flexibility in modeling and estimation in Cormack-Jolly-Seber type models.\u00a0 A prototype, interactive interface, SURGEIN<\/i>, allows SURGE<\/i>to be easily used, and to incorporate some quasi-likelihood extensions.<\/span>
\nPrograms ESTIMATE<\/i>, BROWNIE<\/i> and MULT<\/i> (Brownie et al. 1985) have been useful for the analysis of band recovery data and have seen extensive use.\u00a0 At present, these algorithms lack the flexibility now available in the routines for analysis of open population capture-recapture models.\u00a0 In addition, they do not allow the computation of efficient goodness of fit tests, deviance, relative deviance, the value of the log-likelihood function, and other important quantities.<\/span>
\nBurnham (1993) provided a unified theory for the joint analysis of capture-recapture and band recovery data. This theory has obvious extensions for the analysis of multiple data sets, but no software exists for this unified analysis theory.\u00a0 Program SURVIV<\/i> (White 1983) has seen extensive use in the analysis of both capture-recapture and band recovery data.\u00a0 However, SURVIV<\/i> is a very general procedure, and while useful as a research tool to investigate parameter estimation problems of complex models, the program is clumsy to use for parameter estimation with a series of real or routine data sets.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

Contents – Index Generalized Capture-Recapture and Band-Recovery Analysis Theory Sampling and analysis theory for biological populations has also seen an explosion in the literature in recent years (Fig.\u00a0 1).\u00a0 Fig.\u00a0 1 shows the rapid increase in the amount of literature …<\/p>\n

Generalized Capture-Recapture and Band-Recovery Analysis Theory<\/span> Read More »<\/a><\/p>\n","protected":false},"author":117,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-222","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/users\/117"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/comments?post=222"}],"version-history":[{"count":1,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/222\/revisions"}],"predecessor-version":[{"id":223,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/222\/revisions\/223"}],"wp:attachment":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/media?parent=222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}