Uncertainty in population growth rates: determining confidence intervals from point estimates of parameters. 2010

Eleanor S Devenish Nelson, and Stephen Harris, and Carl D Soulsbury, and Shane A Richards, and Philip A Stephens
School of Biological and Biomedical Sciences, Durham University, Durham, United Kingdom.

BACKGROUND Demographic models are widely used in conservation and management, and their parameterisation often relies on data collected for other purposes. When underlying data lack clear indications of associated uncertainty, modellers often fail to account for that uncertainty in model outputs, such as estimates of population growth. RESULTS We applied a likelihood approach to infer uncertainty retrospectively from point estimates of vital rates. Combining this with resampling techniques and projection modelling, we show that confidence intervals for population growth estimates are easy to derive. We used similar techniques to examine the effects of sample size on uncertainty. Our approach is illustrated using data on the red fox, Vulpes vulpes, a predator of ecological and cultural importance, and the most widespread extant terrestrial mammal. We show that uncertainty surrounding estimated population growth rates can be high, even for relatively well-studied populations. Halving that uncertainty typically requires a quadrupling of sampling effort. CONCLUSIONS Our results compel caution when comparing demographic trends between populations without accounting for uncertainty. Our methods will be widely applicable to demographic studies of many species.

UI MeSH Term Description Entries
D011158 Population Growth Increase, over a specific period of time, in the number of individuals living in a country or region. Population Explosion,Baby Boom,Baby Bust,High Fertility Population,Natural Increase,Past Trends,Population Growth and Natural Resources,Population Size and Growth,Zero Population Growth,Baby Booms,Baby Busts,Explosion, Population,Explosions, Population,Growth, Population,High Fertility Populations,Increase, Natural,Increases, Natural,Natural Increases,Past Trend,Population Explosions,Population, High Fertility,Populations, High Fertility,Trend, Past,Trends, Past
D012098 Reproduction The total process by which organisms produce offspring. (Stedman, 25th ed) Human Reproductive Index,Human Reproductive Indexes,Reproductive Period,Human Reproductive Indices,Index, Human Reproductive,Indexes, Human Reproductive,Indices, Human Reproductive,Period, Reproductive,Periods, Reproductive,Reproductive Index, Human,Reproductive Indices, Human,Reproductive Periods
D005260 Female Females
D005589 Foxes Any of several carnivores in the family CANIDAE, that possess erect ears and long bushy tails and are smaller than WOLVES. They are classified in several genera and found on all continents except Antarctica. Alopex,Arctic Fox,Pseudalopex,Red Fox,Urocyon,Vulpes,Vulpes vulpes,Fox, Arctic,Fox, Red
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D016001 Confidence Intervals A range of values for a variable of interest, e.g., a rate, constructed so that this range has a specified probability of including the true value of the variable. Confidence Interval,Interval, Confidence,Intervals, Confidence
D016013 Likelihood Functions Functions constructed from a statistical model and a set of observed data which give the probability of that data for various values of the unknown model parameters. Those parameter values that maximize the probability are the maximum likelihood estimates of the parameters. Likelihood Ratio Test,Maximum Likelihood Estimates,Estimate, Maximum Likelihood,Estimates, Maximum Likelihood,Function, Likelihood,Functions, Likelihood,Likelihood Function,Maximum Likelihood Estimate,Test, Likelihood Ratio
D035501 Uncertainty The condition in which reasonable knowledge regarding risks, benefits, or the future is not available.

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