Doing my dissertation on the long term trends in moth populations. I am looking at the trends of specific species. Is there a method to obtain an estimate of total population from smaller samples?
I'm assuming you're asking how to estimate population size based on numbers of individuals you capture. Yes, there are many approaches to this. The R library SPECIES-R offers a number of methods of calculating this. They are described in the manuscript SPECIES: An R Package for Species Richness Estimation. Some of the methods described are:
- Chao, A. (1984), Nonparametric Estimation of the Number of Classes in a Population, Scandinavian Journal of Statistics, 11, 265-270.
- Norris, J. L. I., and Pollock, K. H.(1998), Non-Parametric MLE for Poisson Species Abundance Models Allowing for Heterogeneity Between Species, Environmental and Ecological Statistics, 5, 391-402.
- Chao, A., and Bunge, J. (2002), Estimating the Number of Species in a Stochastic Abundance Model, Biometrics, 58, 531-539.
and many more.