Using mark-recapture to estimate the numbers of a migrating stage-structured population

1997 ◽  
Vol 54 (9) ◽  
pp. 2097-2104 ◽  
Author(s):  
R A Myers ◽  
M O Hammill ◽  
G B Stenson
Keyword(s):  
Continuous Distribution ◽  
Structured Data ◽  
Joint Analysis ◽  
Halichoerus Grypus ◽  
Birth Rates ◽  
Mark Recapture ◽  
Migration Rates ◽  
Structured Population ◽  
Age Structured ◽  
And Migration

A model is presented for the joint analysis of mark-recapture data and stage- or age-structured data that allows the population abundance, birth rates, and migration rates to be estimated in situations where standard methods may be unreliable. The model assumes that birth rates follow a continuous distribution and that migration can be described by a simple Markov process. Application of the model is illustrated using mark-recapture and stage-structured data for grey seal (Halichoerus grypus) pup production in the Gulf of St. Lawrence and resulted in estimates of 9800 and 10 500 pups produced in 1989 and 1990, respectively.

scholarly journals Modelling the abundance of grey seals (Halichoerus grypus) along the Norwegian coast

2012 ◽  
Vol 69 (8) ◽  
pp. 1436-1447 ◽  
Author(s):  
Tor Arne Øigård ◽  
Anne Kirstine Frie ◽  
Kjell Tormod Nilssen ◽  
Mike Osborne Hammill
Keyword(s):  
Confidence Interval ◽  
Population Size ◽  
Halichoerus Grypus ◽  
Grey Seal ◽  
Norwegian Coast ◽  
Structured Population ◽  
Population Dynamics Model ◽  
Level Model ◽  
Age Structured ◽  
The Uk

Abstract Øigård, T. A., Frie, A. K., Nilssen, K. T., and Hammill, M. O. 2012. Modelling the abundance of grey seals (Halichoerus grypus) along the Norwegian coast. – ICES Journal of Marine Science, 69: . An age-structured population dynamics model of the Norwegian grey seal (Halichoerus grypus) population has been developed. The model is of a Bayesian character in the sense that priors for various parameters were used. Model runs indicated an increase in the abundance of the total Norwegian grey seal population during the last 30 years, suggesting a total of 8740 (95% confidence interval: 7320–10 170) animals in 2011. A total catch of 707 (95% confidence interval: 532–882) grey seals would maintain the population size at the 2011 level. Model runs suggest that current catch levels will likely result in a reduction in the population size in Sør-Trøndelag and Nord-Trøndelag counties, and an increase in the population size in Rogaland, Nordland, Troms, and Finnmark counties. The model runs assumed that 80% of the seals taken in Rogaland came from the UK and that 50 and 55% of the catches in Troms and Finnmark, respectively, were immigrants from Russia.

Evaluation of a Mark–Recapture Method for Estimating Mortality and Migration Rates of Stratified Populations

1991 ◽  
Vol 48 (2) ◽  
pp. 254-260 ◽  
Author(s):  
Robert M. Dorazio ◽  
Paul J. Rago
Keyword(s):  
Maximum Likelihood ◽  
Sockeye Salmon ◽  
Maximum Likelihood Estimates ◽  
Fishing Mortality ◽  
Mark Recapture ◽  
Sampling Variability ◽  
Migration Rates ◽  
Tag Loss ◽  
And Migration ◽  
Biased Estimates

We simulated mark–recapture experiments to evaluate a method for estimating fishing mortality and migration rates of populations stratified at release and recovery. When fish released in two or more strata were recovered from different recapture strata in nearly the same proportions, conditional recapture probabilities were estimated outside the [0, 1] interval. The maximum likelihood estimates tended to be biased and imprecise when the patterns of recaptures produced extremely "flat" likelihood surfaces. Absence of bias was not guaranteed, however, in experiments where recapture rates could be estimated within the [0, 1] interval. Inadequate numbers of tag releases and recoveries also produced biased estimates, although the bias was easily detected by the high sampling variability of the estimates. A stratified tag–recapture experiment with sockeye salmon (Oncorhynchus nerka) was used to demonstrate procedures for analyzing data that produce biased estimates of recapture probabilities. An estimator was derived to examine the sensitivity of recapture rate estimates to assumed differences in natural and tagging mortality, tag loss, and incomplete reporting of tag recoveries.

Numerical solutions of a linear age-structured population model

2019 ◽  
Author(s):  
Maan A. Rasheed ◽  
Sean Laverty ◽  
Brittany Bannish
Keyword(s):  
Population Model ◽  
Numerical Solutions ◽  
Structured Population Model ◽  
Structured Population ◽  
Age Structured ◽  
Age Structured Population

scholarly journals Spatial and space-time correlations in systems of subpopulations with genetic drift and migration.

Genetics ◽  
1993 ◽  
Vol 133 (3) ◽  
pp. 711-727
Author(s):  
B K Epperson
Keyword(s):  
Population Genetics ◽  
Time Correlation ◽  
Space Time ◽  
Spatial Correlations ◽  
Gene Frequencies ◽  
Migration Patterns ◽  
Migration Rates ◽  
Space And Time ◽  
Time Correlations ◽  
And Migration

Abstract The geographic distribution of genetic variation is an important theoretical and experimental component of population genetics. Previous characterizations of genetic structure of populations have used measures of spatial variance and spatial correlations. Yet a full understanding of the causes and consequences of spatial structure requires complete characterization of the underlying space-time system. This paper examines important interactions between processes and spatial structure in systems of subpopulations with migration and drift, by analyzing correlations of gene frequencies over space and time. We develop methods for studying important features of the complete set of space-time correlations of gene frequencies for the first time in population genetics. These methods also provide a new alternative for studying the purely spatial correlations and the variance, for models with general spatial dimensionalities and migration patterns. These results are obtained by employing theorems, previously unused in population genetics, for space-time autoregressive (STAR) stochastic spatial time series. We include results on systems with subpopulation interactions that have time delay lags (temporal orders) greater than one. We use the space-time correlation structure to develop novel estimators for migration rates that are based on space-time data (samples collected over space and time) rather than on purely spatial data, for real systems. We examine the space-time and spatial correlations for some specific stepping stone migration models. One focus is on the effects of anisotropic migration rates. Partial space-time correlation coefficients can be used for identifying migration patterns. Using STAR models, the spatial, space-time, and partial space-time correlations together provide a framework with an unprecedented level of detail for characterizing, predicting and contrasting space-time theoretical distributions of gene frequencies, and for identifying features such as the pattern of migration and estimating migration rates in experimental studies of genetic variation over space and time.

scholarly journals Parasite evolution in an age-structured population

2021 ◽  
pp. 110732
Author(s):  
Jonathan I.D. Hamley ◽  
Jacob C. Koella
Keyword(s):  
Structured Population ◽  
Parasite Evolution ◽  
Age Structured ◽  
Age Structured Population
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