On the Use of Matrices in Certain Population Mathematics

Leslie, Paula

doi:10.1007/978-3-642-81046-6_26

Cited by 122 publications

(152 citation statements)

References 1 publication

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“…Several life tables have been constructed for immature stages of Ae. albopictus, excluding adult stage (Leslie 1945, Lewis 1945, Nur Aida et al 2008. Neglecting the male population in life table studies may cause errors in calculating demographic parameters, such as the intrinsic rate of increase, net reproductive rate, and the mean generation time (Chi and Liu 1985).…”

Section: Introductionmentioning

confidence: 98%

Age-Stage, Two-Sex Life Table Characteristics ofAedes albopictusandAedes Aegyptiin Penang Island, Malaysia

Maimusa

Ahmad²,

Kassim

et al. 2016

Journal of the American Mosquito Control Association

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Section: Introductionmentioning

confidence: 98%

Age-Stage, Two-Sex Life Table Characteristics ofAedes albopictusandAedes Aegyptiin Penang Island, Malaysia

Maimusa

Ahmad²,

Kassim

et al. 2016

Journal of the American Mosquito Control Association

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“…The default assumption of no compensation would be so overly conservative that it would become impractical and economically inefficient as in such cases the fish populations would grow to indefinite size [15]. Leslie's matrix model [8] is limited in application because it describes exponential growth. Both the total population and each age class within the population grow exponentially [8,11,12].…”

Section: Modeling Applicationmentioning

confidence: 99%

“…Leslie's matrix model [8] is limited in application because it describes exponential growth. Both the total population and each age class within the population grow exponentially [8,11,12]. The logistic equation has been used for analysis of population projection within multiple studies of both fish and wildlife populations and is widely accepted as a model for density-dependent population growth [5,11,12,[15][16][17][18][19][20][21].…”

Section: Modeling Applicationmentioning

confidence: 99%

“…For simplicity, the population was initiated at carrying capacity and at the stable age distribution as determined by finding an eigenvector (right eigenvector) associated with the dominant eigenvalue of the matrix [8]. The population model was executed over a 20-yr simulation period, and results were recorded using an annual time step.…”

Section: Modeling Applicationmentioning

confidence: 99%

“…A life table and a Leslie projection matrix [7,8] were developed for white sucker using field data from the Mountain Bay site (because they are representative of the unexposed population) and from other study sites with white sucker populations unexposed to chemical stressors [9,10]. As the white sucker populations at both the Jackfish Bay and Mountain Bay sites were sampled just prior to breeding, a Leslie matrix constructed using birth-pulse fertilities and a prebreeding census Figure 1.…”

Section: Modeling Applicationmentioning

confidence: 99%

See 2 more Smart Citations

Assessment of status of white sucker (Catostomus commersoni) populations exposed to bleached kraft pulp mill effluent

Miller

Tietge

McMaster

et al. 2013

Enviro Toxic and Chemistry

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Credible ecological risk assessments often need to include analysis of population-level impacts. In the present study, a predictive model was developed to investigate population dynamics for white sucker (Catostomus commersoni) exposed to pulp mill effluent at a well-studied site in Jackfish Bay, Lake Superior, Canada. The model uniquely combines a Leslie population projection matrix and the logistic equation to translate changes in the fecundity and the age structure of a breeding population of white sucker exposed to pulp mill effluent to alterations in population growth rate. Application of this density-dependent population projection model requires construction of a life table for the organism of interest, a measure of carrying capacity, and an estimation of the effect of stressors on vital rates. A white sucker population existing at carrying capacity and subsequently exposed to pulp mill effluent equivalent to a documented exposure experienced during the period 1988 to 1994 in Jackfish Bay would be expected to exhibit a 34% to 51% annual decrease in recruitment during the first 5 yr of exposure and approach a population size of 71% of carrying capacity. The Jackfish Bay study site contains monitoring data for biochemical endpoints in white sucker, including circulating sex steroid concentrations, that could be combined with population modeling to utilize the model demonstrated at the Jackfish Bay study site for investigation of other white sucker populations at sites that are less data-rich.

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Mating system, population growth, and management scenario for Kalanchoe pinnata in an invaded seasonally dry tropical forest

León

Herrera

Guevara

2016

Ecology and Evolution

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Ecological invasions are a major issue worldwide, where successful invasion depends on traits that facilitate dispersion, establishment, and population growth. The nonnative succulent plant Kalanchoe pinnata, reported as invasive in some countries, is widespread in remnants of seasonally dry tropical forest on a volcanic outcrop with high conservation value in east‐central Mexico where we assessed its mating system and demographic growth and identified management strategies. To understand its local mating system, we conducted hand‐pollination treatments, germination, and survival experiments. Based on the experimental data, we constructed a life‐stage population matrix, identified the key traits for population growth, weighted the contributions of vegetative and sexual reproduction, and evaluated management scenarios. Hand‐pollination treatments had slight effects on fruit and seed setting, as well as on germination. With natural pollination treatment, the successful germination of seeds from only 2/39 fruit suggests occasional effective natural cross‐pollination. The ratios of the metrics for self‐ and cross‐pollinated flowers suggest that K. pinnata is partially self‐compatible. Most of the pollinated flowers developed into fruit, but the seed germination and seedling survival rates were low. Thus, vegetative propagation and juvenile survival are the main drivers of population growth. Simulations of a virtual K. pinnata population suggest that an intense and sustained weeding campaign will reduce the population within at least 10 years. Synthesis and applications. The study population is partially self‐compatible, but sexual reproduction by K. pinnata is limited at the study site, and population growth is supported by vegetative propagation and juvenile survival. Demographic modeling provides key insights and realistic forecasts on invasion process and therefore is useful to design management strategies.

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On the Use of Matrices in Certain Population Mathematics

Cited by 122 publications

References 1 publication

Age-Stage, Two-Sex Life Table Characteristics ofAedes albopictusandAedes Aegyptiin Penang Island, Malaysia

Age-Stage, Two-Sex Life Table Characteristics ofAedes albopictusandAedes Aegyptiin Penang Island, Malaysia

Assessment of status of white sucker (Catostomus commersoni) populations exposed to bleached kraft pulp mill effluent

Mating system, population growth, and management scenario for Kalanchoe pinnata in an invaded seasonally dry tropical forest

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