Proportional trapping-removal models with contaminated data |
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| Affiliation: | 1. Manaaki Whenua – Landcare Research, PO Box 69040, Lincoln 7640, New Zealand;2. School of Life and Environmental Sciences, The University of Sydney, Sydney, NSW 2006, Australia;3. Centre for Integrated Spatial Research, Environmental Studies Department, University of California, Santa Cruz, CA 95064, USA;4. Environment and Sustainability Institute, Penryn Campus, University of Exeter, Penryn, Cornwall, TR10 9EZ, UK;5. Manaaki Whenua – Landcare Research, Private Bag 92170, Auckland 1142, New Zealand;6. School of Biological Sciences, University of Auckland, Auckland, New Zealand;7. Department of Environmental Science and Policy, University of California, Davis, CA 95616, USA;1. Fenner School of Environment and Society, Australian National University, Canberra 2601, Australia;2. Chicago Zoological Society, 3300 Golf Road, Brookfield, IL 60513, USA;3. Taronga Conservation Society, Sydney, NSW 2088, Australia;4. BirdLife Australia, Melbourne, Victoria 3053, Australia;5. Centre for Ecosystem Science, University of New South Wales, Sydney, NSW 2052, Australia;1. Department of Biological Sciences, Purdue University, 915 West State Street, West Lafayette, IN 47907, USA;2. Smithsonian Tropical Research Institute, Apartado 0843-03092, Balboa, Ancón, Panamá, República de Panamá |
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| Abstract: | A continuous time proportional trapping-removal model for the estimation of the size of an animal population with consideration of disturbance from non-target animal is studied. Maximum likelihood estimates and corresponding standard errors for the targeted population are derived. Their large sample properties can be obtained using martingale limit theory. Simulations are conducted, and a comparison is done when ignoring the disturbance in the model. An example on a small mammal capture–recapture study on deer mouse is presented. |
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