scholarly journals Polar bear hunt strategies evaluated by a Leslie matrix population model

1983 ◽  
Vol 1 (3) ◽  
pp. 241-247
Author(s):  
Nils Are Øritsland ◽  
Ray Schweinsburg
Keyword(s):  
Population Model ◽  
Polar Bear ◽  
Leslie Matrix ◽  
Matrix Population Model

scholarly journals The genealogical decomposition of a matrix population model with applications to the aggregation of stages

2016 ◽  
Author(s):  
François Bienvenu ◽  
Erol Akçay ◽  
Stéphane Legendre ◽  
David M. McCandlish
Keyword(s):  
Population Model ◽  
Population Biology ◽  
Projection Matrix ◽  
Dominant Eigenvalue ◽  
Matrix Population Model ◽  
Ergodic Markov Chain ◽  
Number Of Classes ◽  
The Relationship ◽  
Asymptotic Growth Rate ◽  
Central Tool

AbstractMatrix projection models are a central tool in many areas of population biology. In most applications, one starts from the projection matrix to quantify the asymptotic growth rate of the population (the dominant eigenvalue), the stable stage distribution, and the reproductive values (the dominant right and left eigenvectors, respectively). Any primitive projection matrix also has an associated ergodic Markov chain that contains information about the genealogy of the population. In this paper, we show that these facts can be used to specify any matrix population model as a triple consisting of the ergodic Markov matrix, the dominant eigenvalue and one of the corresponding eigenvectors. This decomposition of the projection matrix separates properties associated with lineages from those associated with individuals. It also clarifies the relationships between many quantities commonly used to describe such models, including the relationship between eigenvalue sensitivities and elasticities. We illustrate the utility of such a decomposition by introducing a new method for aggregating classes in a matrix population model to produce a simpler model with a smaller number of classes. Unlike the standard method, our method has the advantage of preserving reproductive values and elasticities. It also has conceptually satisfying properties such as commuting with changes of units.

scholarly journals A two-sex matrix population model to represent harem structure

2016 ◽  
Vol 13 (5) ◽  
pp. 1077-1092
Author(s):  
Anthony Tongen ◽  
◽  
María Zubillaga ◽  
Jorge E. Rabinovich ◽  
Keyword(s):  
Population Model ◽  
Matrix Population Model
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