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Ursus arctos horribilis: dynamic modeling of Canadian population

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dc.contributor.authorBica, Ion
dc.contributor.authorSolomonovich, Mark
dc.contributor.authorDeutscher, K.
dc.contributor.authorGarrett, A.
dc.contributor.authorBurak, K.
dc.contributor.authorPeacock, H.
dc.date.accessioned2021-05-13
dc.date.accessioned2022-05-31T01:43:36Z
dc.date.available2022-05-31T01:43:36Z
dc.date.issued2019
dc.description.abstractThe grizzly bears are K-strategists and their innate tendency is to reach homeostasis. In the First Nations folklore grizzly bears are viewed as “spirits” that bring balance in their untamed habitat where they roam, this being an indication that they do not overpopulate their habitat and their gene flow is “designed” to reach homeostasis without surpassing it. In the present article we study the dynamics of the grizzly bear population in the Southwest Alberta, Canada. Based on the dynamical model with three parameters, we obtain estimates for the carrying capacity and the minimum viable population of the grizzly bear population in their dynamical habitat. The article starts with the discussion of the rationale for choosing the Logistic Growth Model as the most appropriate for describing the dynamics of grizzly population. In addition to the usual for this kind of models parameters of the growth rate and the carrying capacity, in the current model we consider the parameters of Minimum Viable Population (MVP) and Safe Harbour (SH) – a measurement introduced by the Alberta Grizzly Bear Recovery Plan. The first of these parameters (MVP) is determined by the essential number of the individuals that would allow the survival of the species. The latter measurement (SH) is related to the so-called Grizzly Bear Priority Areas, where the risk of mortality is low. Then, based on Verhulst model and Statistical data, the carrying capacity and growth rate for the female grizzly bears in Alberta have been obtained. Mathematical analysis of the model has shown that the equilibria at K (carrying capacity) and MVP·SH are, respectively, stable and unstable. The time of possible extinction for the populations with the initial conditions below the threshold MVP·SH has been numerically estimated. The correlation between the system parameters and its influence on the survival of the population has been analyzed and the recommendations on ensuring the survival have been given.
dc.format.extent750.81KB
dc.format.mimetypePDF
dc.identifier.citationBica, I., Solomonovich, M., Deutscher, K., Garrett, A., Burak, K., & Peacock, H., (2019). Ursus arctos horribilis: dynamic modeling of Canadian population. Theoretical and Applied Ecology, Issue 4, 45-54. DOI: 10.25750/1995-4301-2019-4-045-054
dc.identifier.doihttps://doi.org/10.25750/1995-4301-2019-4-045-054
dc.identifier.urihttps://hdl.handle.net/20.500.14078/2271
dc.languageEnglish
dc.language.isoen
dc.rightsAll Rights Reserved
dc.subjectgrizzly bears
dc.subjectUrsus arctos horribilis
dc.subjectpopulation dynamics
dc.subjectmathematic modeling
dc.subjectSouthwest Alberta
dc.subjectCanada
dc.titleUrsus arctos horribilis: dynamic modeling of Canadian populationen
dc.typeArticle
dspace.entity.type

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