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- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/Chapter_15%3A_Competition/15.2%3A_Intraspecific_(Single_Species)_CompetitionHere x is the size of the population at a given time, r is the inherent per-capita growth rate, and K is the carrying capacity. However, as the population reaches its maximum (the carrying capacity), ...Here x is the size of the population at a given time, r is the inherent per-capita growth rate, and K is the carrying capacity. However, as the population reaches its maximum (the carrying capacity), intraspecific competition becomes fiercer and the per capita growth rate slows until the population reaches a stable size. At the carrying capacity, the rate of change of population density is zero because the population is as large as possible based on the resources available.
- https://bio.libretexts.org/Courses/Monterey_Peninsula_College/BIOL_31%3A_Environmental_Science_(Raskoff)/04%3A_Populations/4.02%3A_Population_DynamicsPopulations are dynamic. They are continuously gaining individuals through births and losing individuals through deaths. Populations may also gain or lose significant numbers of individuals through mi...Populations are dynamic. They are continuously gaining individuals through births and losing individuals through deaths. Populations may also gain or lose significant numbers of individuals through migration, when people either enter or leave a population. All of these factors together determine whether and how quickly a population grows.
- https://bio.libretexts.org/Bookshelves/Introductory_and_General_Biology/Map%3A_Raven_Biology_12th_Edition/54%3A_Ecology_of_Individuals_and_Populations/54.05%3A_Environmental_Limits_to_Population_GrowthAlthough 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/Butte_College/BC%3A_BIOL_2_-_Introduction_to_Human_Biology_(Grewal)/Text/24%3A_Ecology/24.08%3A_Population_DynamicsPopulations are dynamic. They are continuously gaining individuals through births and losing individuals through deaths. Populations may also gain or lose significant numbers of individuals through mi...Populations are dynamic. They are continuously gaining individuals through births and losing individuals through deaths. Populations may also gain or lose significant numbers of individuals through migration, when people either enter or leave a population. All of these factors together determine whether and how quickly a population grows. Population growth rates may change over time. Two well-studied patterns of change in population growth rates are exponential and logistic growth.
- https://bio.libretexts.org/Bookshelves/Botany/Botany_(Ha_Morrow_and_Algiers)/05%3A_Ecology_and_Conservation/5.01%3A_Population_Ecology/5.1.03%3A_Environmental_Limits_to_Population_GrowthPopulations with unlimited resources grow exponentially, with an accelerating growth rate. When resources become limiting, populations follow a logistic growth curve. The population of a species will ...Populations with unlimited resources grow exponentially, with an accelerating growth rate. When resources become limiting, populations follow a logistic growth curve. The population of a species will level off at the carrying capacity of its environment.
- https://bio.libretexts.org/Courses/Norco_College/OpenStax_Biology_2e_for_Norco_College/31%3A_Population_and_Community_Ecology/31.04%3A_Environmental_Limits_to_Population_GrowthAlthough 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/Bookshelves/Introductory_and_General_Biology/Principles_of_Biology/03%3A_Chapter_3/25%3A_Population_and_Community_Ecology/25.04%3A_Environmental_Limits_to_Population_GrowthNotice that the “d” associated with the first term refers to the derivative (as the term is used in calculus) and is different from the death rate, also called “d.” The difference between birth and de...Notice that the “d” associated with the first term refers to the derivative (as the term is used in calculus) and is different from the death rate, also called “d.” The difference between birth and death rates is further simplified by substituting the term “r” (intrinsic rate of increase) for the relationship between birth and death rates:
- https://bio.libretexts.org/Workbench/Bio_1130%3A_Remixed/09%3A_Population_Biology/9.03%3A_Environmental_Limits_to_Population_GrowthAlthough 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/Norco_College/BIO_5%3A_General_Botany_(Friedrich_Finnern)/25%3A_Population_Ecology/25.03%3A_Environmental_Limits_to_Population_GrowthPopulations with unlimited resources grow exponentially, with an accelerating growth rate. When resources become limiting, populations follow a logistic growth curve. The population of a species will ...Populations with unlimited resources grow exponentially, with an accelerating growth rate. When resources become limiting, populations follow a logistic growth curve. The population of a species will level off at the carrying capacity of its environment.
- https://bio.libretexts.org/Courses/Gettysburg_College/01%3A_Ecology_for_All/10%3A_Population_modeling/10.04%3A_Overview_of_Population_Growth_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/Bookshelves/Ecology/Environmental_Science_(Ha_and_Schleiger)/02%3A_Ecology/2.02%3A_Populations/2.2.03%3A_Population_Growth_and_RegulationPopulation ecologists make use of a variety of methods to model population dynamics. An accurate model should be able to describe the changes occurring in a population and predict future changes.
