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- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/Chapter_10%3A_Population_modeling/10.1%3A_Prelude_-_Learning_the_Math_of_Population_ModelsEcologists frequently use mathematical models to describe population dynamics. These models can be used to describe the trajectory of population growth when resources are abundant, its maximum size wh...Ecologists frequently use mathematical models to describe population dynamics. These models can be used to describe the trajectory of population growth when resources are abundant, its maximum size when resources are limited, or how rapidly in space it expands into new territory.
- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/Chapter_16%3A_Antagonistic_Interactions/16.1%3A_PredationPredation is a biological interaction where one organism, the predator, kills and eats another organism, its prey.
- https://bio.libretexts.org/Bookshelves/Introductory_and_General_Biology/Biology_(Kimball)/17%3A_Ecology/17.03%3A_The_Growth_of_Populations/17.3B%3A_Principles_of_Population_GrowthThis page examines how population growth is affected by density-independent factors like natural disasters and density-dependent factors such as competition and resource availability. It describes the...This page examines how population growth is affected by density-independent factors like natural disasters and density-dependent factors such as competition and resource availability. It describes the importance of breeding territories, the predator-prey dynamics, the effects of parasitism, and the concept of carrying capacity influencing population stabilization.
- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/Chapter_15%3A_Competition/15.1%3A_Introduction_and_Types_of_CompetitionCompetition lowers the fitness of both organisms involved since the presence of one of the organisms always reduces the amount of the resources available to the other. Competition among members of the...Competition lowers the fitness of both organisms involved since the presence of one of the organisms always reduces the amount of the resources available to the other. Competition among members of the same species is known as intraspecific competition, while competition between individuals of different species is known as interspecific competition.
- https://bio.libretexts.org/Courses/Gettysburg_College/01%3A_Ecology_for_All/16%3A_Antagonistic_Interactions/16.01%3A_PredationA range of mathematical models have been developed by relaxing the assumptions made in the Lotka-Volterra model; these variously allow animals to have geographic distributions, or to migrate; to have ...A range of mathematical models have been developed by relaxing the assumptions made in the Lotka-Volterra model; these variously allow animals to have geographic distributions, or to migrate; to have differences between individuals, such as sexes and an age structure, so that only some individuals reproduce; to live in a varying environment, such as with changing seasons (Cushing, 2005; Thieme, 2003); and analyzing the interactions of more than just two species at once.
- https://bio.libretexts.org/Courses/Gettysburg_College/01%3A_Ecology_for_All/15%3A_Competition/15.01%3A_Introduction_and_Types_of_CompetitionCompetition lowers the fitness of both organisms involved, since the presence of one of the organisms always reduces the amount of the resource available to the other (Lang & Benbow 2013). In an appar...Competition lowers the fitness of both organisms involved, since the presence of one of the organisms always reduces the amount of the resource available to the other (Lang & Benbow 2013). In an apparent competition model, this relationship is found to be mediated through predator C; a population explosion of species A increases the abundance of the predator species C due to a greater total food source.
- https://bio.libretexts.org/Courses/Thompson_Rivers_University/Principles_of_Biology_II_OL_ed/04%3A_Ecology/4.02%3A_Population_Ecology/4.2.05%3A_Population_ModelsAlthough life histories describe the way many characteristics of a population (such as their age structure) change over time in a general way, population ecologists make use of a variety of methods to...Although life histories describe the way many characteristics of a population (such as their age structure) change over time in a general way, population ecologists make use of a variety of methods to model population dynamics mathematically. These more precise models can then be used to accurately describe changes occurring in a population and better predict future changes.
- https://bio.libretexts.org/Courses/Gettysburg_College/01%3A_Ecology_for_All/09%3A_The_Ecology_of_Populations/9.03%3A_Population_Dynamics_and_RegulationThese are grouped into density-dependent factors, in which the density of the population at a given time affects growth rate and mortality, and density-independent factors, which influence mortality i...These are grouped into density-dependent factors, in which the density of the population at a given time affects growth rate and mortality, and density-independent factors, which influence mortality in a population regardless of population density. Note that in the former, the effect of the factor on the population depends on the density of the population at onset.
- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/4.2%3A_Population_Ecology/4.2.05%3A_Population_ModelsAlthough life histories describe the way many characteristics of a population (such as their age structure) change over time in a general way, population ecologists make use of a variety of methods to...Although life histories describe the way many characteristics of a population (such as their age structure) change over time in a general way, population ecologists make use of a variety of methods to model population dynamics mathematically. These more precise models can then be used to accurately describe changes occurring in a population and better predict future changes.
- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/Chapter_9%3A_The_Ecology_of_Populations/9.3%3A_Population_Dynamics_and_RegulationThough there are many dimensions to spatial and temporal population dynamics, discussions of population dynamics often center on changes in population size over time. Population ecologists are often ...Though there are many dimensions to spatial and temporal population dynamics, discussions of population dynamics often center on changes in population size over time. Population ecologists are often tasked with determining if populations are increasing, stable, or declining. More complex patterns are also possible, such as rebounds after sharp declines or regular cycles. To understand what determines what a population does over time ecologists think about processes of population regulation -
- https://bio.libretexts.org/Courses/Gettysburg_College/01%3A_Ecology_for_All/10%3A_Population_modeling/10.01%3A_Prelude_-_Learning_the_Math_of_Population_ModelsEcologists frequently use mathematical models to describe population dynamics. These models can be used to describe the trajectory of population growth when resources are abundant, its maximum size wh...Ecologists frequently use mathematical models to describe population dynamics. These models can be used to describe the trajectory of population growth when resources are abundant, its maximum size when resources are limited, or how rapidly in space it expands into new territory.
