We present a derivation of various discrete-time population models within a single unifying mechanistic context. By systematically varying the within-year patterns of reproduction and aggression between individuals we can derive various discrete-time population models. These models include classical examples such as the Ricker model, the Beverton--Holt model, the Skellam model, the Hassell model, and others. Some of these models until now lacked a good mechanistic interpretation or have been derived in a different context. By using this mechanistic approach, the model parameters can be interpreted in terms of individual behavior.
%0 Journal Article
%1 eskola2007mechanistic
%A Eskola, Hanna T. M.
%A Geritz, Stefan A. H.
%D 2007
%J Bulletin of Mathematical Biology
%K Beverton-Holt demographic_models density_dependence mechanistic_models population_dynamics
%N 1
%P 329--346
%R 10.1007/s11538-006-9126-4
%T On the Mechanistic Derivation of Various Discrete-Time Population Models
%U https://doi.org/10.1007/s11538-006-9126-4
%V 69
%X We present a derivation of various discrete-time population models within a single unifying mechanistic context. By systematically varying the within-year patterns of reproduction and aggression between individuals we can derive various discrete-time population models. These models include classical examples such as the Ricker model, the Beverton--Holt model, the Skellam model, the Hassell model, and others. Some of these models until now lacked a good mechanistic interpretation or have been derived in a different context. By using this mechanistic approach, the model parameters can be interpreted in terms of individual behavior.
@article{eskola2007mechanistic,
abstract = {We present a derivation of various discrete-time population models within a single unifying mechanistic context. By systematically varying the within-year patterns of reproduction and aggression between individuals we can derive various discrete-time population models. These models include classical examples such as the Ricker model, the Beverton--Holt model, the Skellam model, the Hassell model, and others. Some of these models until now lacked a good mechanistic interpretation or have been derived in a different context. By using this mechanistic approach, the model parameters can be interpreted in terms of individual behavior.},
added-at = {2024-01-20T18:36:51.000+0100},
author = {Eskola, Hanna T. M. and Geritz, Stefan A. H.},
biburl = {https://www.bibsonomy.org/bibtex/2d086c89ccdb8ebb10be1043afaf7587e/peter.ralph},
day = 01,
doi = {10.1007/s11538-006-9126-4},
interhash = {cc0026aee68165894025fe92949c7a77},
intrahash = {d086c89ccdb8ebb10be1043afaf7587e},
issn = {1522-9602},
journal = {Bulletin of Mathematical Biology},
keywords = {Beverton-Holt demographic_models density_dependence mechanistic_models population_dynamics},
month = jan,
number = 1,
pages = {329--346},
timestamp = {2024-01-20T18:36:51.000+0100},
title = {On the Mechanistic Derivation of Various Discrete-Time Population Models},
url = {https://doi.org/10.1007/s11538-006-9126-4},
volume = 69,
year = 2007
}