Population persistence time under intermittent control in stochastic environments. 2000

A Yamauchi
Faculty of Fisheries, Nagasaki University, Bunkyo 1-14, Nagasaki, 852-8521, Japan.

If there exists a critical population size above which environmental degradation becomes serious, the population should be suppressed or reduced upon reaching that level. Since population size control is accompanied by costs, a reduction in control frequency may be preferable from an economic viewpoint. Although this can be realized by decreasing the population size drastically in each control, such management may result in increased population extinction probability according to environmental stochasticity. The effects of population management on both mean population persistence time and management cost were analyzed theoretically using a diffusion process. The model showed the functional forms of both mean persistence time and control frequency explicitly; these decreased with an increasing number of individuals removed from the population in each control operation. Based on the analysis, indices representing management costs are proposed. Mean persistence time is generally an increasing function of the cost indices. Nevertheless, if the cost of each control increases with the number of individuals removed, even the most conservative management practice (continuous control) may not be overly expensive.

UI MeSH Term Description Entries
D008962 Models, Theoretical Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Experimental Model,Experimental Models,Mathematical Model,Model, Experimental,Models (Theoretical),Models, Experimental,Models, Theoretic,Theoretical Study,Mathematical Models,Model (Theoretical),Model, Mathematical,Model, Theoretical,Models, Mathematical,Studies, Theoretical,Study, Theoretical,Theoretical Model,Theoretical Models,Theoretical Studies
D011155 Population Control Includes mechanisms or programs which control the numbers of individuals in a population of humans or animals. Demographic Effectiveness,Population Programs,Population Programs, Goals,Control, Population,Controls, Population,Effectiveness, Demographic,Population Controls,Population Program,Program, Population,Programs, Population
D011157 Population Dynamics The pattern of any process, or the interrelationship of phenomena, which affects growth or change within a population. Malthusianism,Neomalthusianism,Demographic Aging,Demographic Transition,Optimum Population,Population Decrease,Population Pressure,Population Replacement,Population Theory,Residential Mobility,Rural-Urban Migration,Stable Population,Stationary Population,Aging, Demographic,Decrease, Population,Decreases, Population,Demographic Transitions,Dynamics, Population,Migration, Rural-Urban,Migrations, Rural-Urban,Mobilities, Residential,Mobility, Residential,Optimum Populations,Population Decreases,Population Pressures,Population Replacements,Population Theories,Population, Optimum,Population, Stable,Population, Stationary,Populations, Optimum,Populations, Stable,Populations, Stationary,Pressure, Population,Pressures, Population,Replacement, Population,Replacements, Population,Residential Mobilities,Rural Urban Migration,Rural-Urban Migrations,Stable Populations,Stationary Populations,Theories, Population,Theory, Population,Transition, Demographic,Transitions, Demographic
D004777 Environment The external elements and conditions which surround, influence, and affect the life and development of an organism or population. Environmental Impact,Environmental Impacts,Impact, Environmental,Impacts, Environmental,Environments
D000383 Agriculture The science, art or practice of cultivating soil, producing crops, and raising livestock. Agronomy,Agricultural Development,Farming,Agronomies,Development, Agricultural
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D000835 Animals, Wild Animals considered to be wild or feral or not adapted for domestic use. It does not include wild animals in zoos for which ANIMALS, ZOO is available. Animals, Nondomestic,Animals, Nondomesticated,Animals, Feral,Stray Animals,Animal, Feral,Animal, Nondomestic,Animal, Nondomesticated,Animal, Stray,Animal, Wild,Animals, Stray,Feral Animal,Feral Animals,Nondomestic Animal,Nondomestic Animals,Nondomesticated Animal,Nondomesticated Animals,Stray Animal,Wild Animal,Wild Animals
D013269 Stochastic Processes Processes that incorporate some element of randomness, used particularly to refer to a time series of random variables. Process, Stochastic,Stochastic Process,Processes, Stochastic
D016468 Forestry The science of developing, caring for, or cultivating forests.
D017753 Ecosystem A functional system which includes the organisms of a natural community together with their environment. (McGraw Hill Dictionary of Scientific and Technical Terms, 4th ed) Ecosystems,Biome,Ecologic System,Ecologic Systems,Ecological System,Habitat,Niche, Ecological,System, Ecological,Systems, Ecological,Biomes,Ecological Niche,Ecological Systems,Habitats,System, Ecologic,Systems, Ecologic

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