dc.contributor.author | Kipchumba, Benard | |
dc.date.accessioned | 2013-07-31T05:52:26Z | |
dc.date.available | 2013-07-31T05:52:26Z | |
dc.date.issued | 2013-07 | |
dc.identifier.citation | Kipchumba, B.;July,2013.Construction And Analysis Of Leslie Matrix Population Model For Amboseli Elephants. | en |
dc.identifier.uri | http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/52723 | |
dc.description.abstract | In this study, construction of a density independent Leslie matrix used for projecting
Amboseli elephant population is discussed, where the only factors that determine
the population dynamics are survivorship and fertility rates. Only the female population
is considered and elephant population are grouped into age classes comprising
of individuals with similar characteristics. All elephants population in a certain
age class move to the next age class during the next time step. Properties of the
matrix relevant to population growth rate and stable population is highlighted and
discussed.Transient and asymptotic population dynamics are analysed.Perturbation
methods have also been discussed. It is noted that in the lower age classes, change in
survival rates have more effect to the asymptotic growth rate than change in fertility
rates while in the older population,change in fertility rates bring greater effect to the
asymptotic growth rate than change in survivorship. The eigenvalues of the Leslie
matrix are calculated and the dominant eigenvalue is found to represent the long
run growth rate.Its corresponding right and left eigenvectors represent stable age
structure and reproductive value respectively.Attempt to incorporate density dependence
into the model is made with density as the total number of population. Model
analysis shows that population increases in all the age classes. | en |
dc.language.iso | en | en |
dc.publisher | University of Nairobi | en |
dc.title | Construction And Analysis Of Leslie Matrix Population Model For Amboseli Elephants | en |
dc.type | Thesis | en |
local.publisher | School Of Mathematics | en |