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      An integrated modeling approach to estimating Gunnison sage-grouse population dynamics: combining index and demographic data

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          Abstract

          Evaluation of population dynamics for rare and declining species is often limited to data that are sparse and/or of poor quality. Frequently, the best data available for rare bird species are based on large-scale, population count data. These data are commonly based on sampling methods that lack consistent sampling effort, do not account for detectability, and are complicated by observer bias. For some species, short-term studies of demographic rates have been conducted as well, but the data from such studies are typically analyzed separately. To utilize the strengths and minimize the weaknesses of these two data types, we developed a novel Bayesian integrated model that links population count data and population demographic data through population growth rate ( λ) for Gunnison sage-grouse ( Centrocercus minimus). The long-term population index data available for Gunnison sage-grouse are annual (years 1953–2012) male lek counts. An intensive demographic study was also conducted from years 2005 to 2010. We were able to reduce the variability in expected population growth rates across time, while correcting for potential small sample size bias in the demographic data. We found the population of Gunnison sage-grouse to be variable and slightly declining over the past 16 years.

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          Effects of body size and temperature on population growth.

          For at least 200 years, since the time of Malthus, population growth has been recognized as providing a critical link between the performance of individual organisms and the ecology and evolution of species. We present a theory that shows how the intrinsic rate of exponential population growth, rmax, and the carrying capacity, K, depend on individual metabolic rate and resource supply rate. To do this, we construct equations for the metabolic rates of entire populations by summing over individuals, and then we combine these population-level equations with Malthusian growth. Thus, the theory makes explicit the relationship between rates of resource supply in the environment and rates of production of new biomass and individuals. These individual-level and population-level processes are inextricably linked because metabolism sets both the demand for environmental resources and the resource allocation to survival, growth, and reproduction. We use the theory to make explicit how and why rmax exhibits its characteristic dependence on body size and temperature. Data for aerobic eukaryotes, including algae, protists, insects, zooplankton, fishes, and mammals, support these predicted scalings for rmax. The metabolic flux of energy and materials also dictates that the carrying capacity or equilibrium density of populations should decrease with increasing body size and increasing temperature. Finally, we argue that body mass and body temperature, through their effects on metabolic rate, can explain most of the variation in fecundity and mortality rates. Data for marine fishes in the field support these predictions for instantaneous rates of mortality. This theory links the rates of metabolism and resource use of individuals to life-history attributes and population dynamics for a broad assortment of organisms, from unicellular organisms to mammals.
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            An improved approach for predicting the distribution of rare and endangered species from occurrence and pseudo-absence data

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              Integrating mark-recapture-recovery and census data to estimate animal abundance and demographic parameters.

              In studies of wild animals, one frequently encounters both census and mark-recapture-recovery data. We show how a state-space model for census data in combination with the usual multinomial-based models for ring-recovery data provide estimates of productivity not available from either type of data alone. The approach is illustrated on two British bird species. For the lapwing, we calibrate how its recent decline could be due to a decrease in productivity. For the heron, there is no evidence for a decline in productivity, and the combined analysis increases significantly the strength of logistic regressions of survival on winter severity.
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                Author and article information

                Journal
                Ecol Evol
                Ecol Evol
                ece3
                Ecology and Evolution
                Blackwell Publishing Ltd (Oxford, UK )
                2045-7758
                2045-7758
                November 2014
                22 October 2014
                : 4
                : 22
                : 4247-4257
                Affiliations
                [1 ]Department of Fish, Wildlife, and Conservation Biology, Colorado State University Fort Collins, Colorado, 80523
                [2 ]U.S. Geological Survey, Colorado Cooperative Fish and Wildlife Research Unit, Colorado State University Fort Collins, Colorado, 80523
                [3 ]Colorado Parks and Wildlife 317 W. Prospect Rd, Fort Collins, Colorado, 80526
                Author notes
                Amy J. Davis, US Dept of Agriculture, Animal and Plant Health Inspection Service, National Wildlife Research Center, Fort Collins, CO 80521. Tel:1-970-266-6313 Fax: 1-970-266-6063 E-mail: Amy.J.Davis@ 123456aphis.usda.gov

                Funding Information We gratefully acknowledge Colorado Parks and Wildlife for funding this project.

                Article
                10.1002/ece3.1290
                4267864
                c1c1588a-146b-46d5-88cc-ef4d7b784c9e
                © 2014 The Authors. Ecology and Evolution published by John Wiley & Sons Ltd.

                This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

                History
                : 26 August 2014
                : 14 October 2014
                : 25 September 2014
                Categories
                Original Research

                Evolutionary Biology
                bayesian,centrocercus minimus,growth rate,integrated population model,lek counts,leslie transition matrix,population projection

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