Inverse maximal eigenvalues problems for Leslie and doubly Leslie matrices

2020 ◽  
Vol 592 ◽  
pp. 93-112 ◽  
Author(s):  
H. Pickmann-Soto ◽  
S. Arela-Pérez ◽  
Hans Nina ◽  
Elvis Valero
1980 ◽  
Vol 8 ◽  
pp. 149-163 ◽  
Author(s):  
D.L. Deangelis ◽  
L.J. Svoboda ◽  
S.W. Christensen ◽  
D.S. Vaughan

PeerJ ◽  
2018 ◽  
Vol 6 ◽  
pp. e5768 ◽  
Author(s):  
Camilo Saavedra

Mortality is one of the most important parameters for the study of population dynamics. One of the main sources of information to calculate the mortality of cetaceans arises from the observed age-structure of stranded animals. A method based on an adaptation of a Heligman-Pollard model is proposed. A freely accessible package of functions (strandCet) has been created to apply this method in the statistical software R. Total, natural, and anthropogenic mortality-at-age is estimated using only data of stranded cetaceans whose age is known. Bayesian melding estimation with Incremental Mixture Importance Sampling is used for fitting this model. This characteristic, which accounts for uncertainty, further eases the estimation of credible intervals. The package also includes functions to perform life tables, Siler mortality models to calculate total mortality-at-age and Leslie matrices to derive population projections. Estimated mortalities can be tested under different scenarios. Population parameters as population growth, net production or generation time can be derived from population projections. The strandCet R package provides a new analytical framework to assess mortality in cetacean populations and to explore the consequences of management decisions using only stranding-derived data.


Author(s):  
Dagmar Söndgerath
Keyword(s):  

1977 ◽  
Vol 9 (01) ◽  
pp. 18-37 ◽  
Author(s):  
Joel E. Cohen

The age structure of a large, unisexual, closed population is described here by a vector of the proportions in each age class. Non-negative matrices of age-specific birth and death rates, called Leslie matrices, map the age structure at one point in discrete time into the age structure at the next. If the sequence of Leslie matrices applied to a population is a sample path of an ergodic Markov chain, then: (i) the joint process consisting of the age structure vector and the Leslie matrix which produced that age structure is a Markov chain with explicit transition function; (ii) the joint distribution of age structure and Leslie matrix becomes independent of initial age structure and of the initial distribution of the Leslie matrix after a long time; (iii) when the Markov chain governing the Leslie matrix is homogeneous, the joint distribution in (ii) approaches a limit which may be easily calculated as the solution of a renewal equation. A numerical example will be given in Cohen (1977).


UQ eSpace ◽  
2017 ◽  
Author(s):  
Hawthorne Beyer ◽  
Jon Hanger

TaphonomieS ◽  
2017 ◽  
pp. 477-508
Author(s):  
Philippe Fernandez ◽  
Christophe Bonenfant ◽  
Jean-Michel Gaillard ◽  
Hervé Monchot
Keyword(s):  


2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Gang Wang ◽  
Lihong Sun

In this paper, we propose an improved power algorithm for finding maximal eigenvalues. Without any partition, we can get the maximal eigenvalue and show that the modified power algorithm is convergent for zero symmetric reducible nonnegative matrices. Numerical results are reported to demonstrate the effectiveness of the modified power algorithm. Finally, a modified algorithm is proposed to test the positive definiteness (positive semidefiniteness) of Z-matrices.


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