45.3 Environmental Limits to Population Growth

3 min readjune 14, 2024

Population growth patterns shape ecosystems and species survival. occurs when resources are abundant, while reflects environmental limits. Understanding these patterns helps predict how populations respond to changing conditions.

Environmental factors, both density-dependent and independent, influence . Natural selection favors that maximize fitness in specific environments. These concepts are crucial for managing wildlife, conserving biodiversity, and addressing human population challenges.

Population Growth and Environmental Limits

Exponential vs logistic growth patterns

Top images from around the web for Exponential vs logistic growth patterns
Top images from around the web for Exponential vs logistic growth patterns
    • Population size increases by constant percentage per unit time (bacteria doubling every 20 minutes)
    • Constant doubling time (35 days for world population in 1970)
    • Occurs in populations with abundant resources and no (invasive species in new habitat)
    • Equation: Nt=N0ertN_t = N_0 e^{rt}
      • NtN_t: population size at time tt
      • N0N_0: initial population size
      • rr:
      • tt: time
  • Logistic growth
    • Population growth slows as it approaches (wildlife in national parks)
    • levels off at carrying capacity
    • Occurs in populations with limited resources and competition (plants competing for light)
    • Equation: Nt=KN0N0+(KN0)ertN_t = \frac{KN_0}{N_0 + (K - N_0)e^{-rt}}
      • KK: carrying capacity
  • Exponential growth unsustainable long-term due to resource limitations
  • Logistic growth more realistic for most natural populations
  • Carrying capacity determines maximum population size in logistic growth (number of trees in a forest)

Environmental factors in population growth

    • Greater impact as population density increases (disease spread in crowded conditions)
    • Regulate population size leading to logistic growth
    • Competition for food, ,
    • Affect population growth regardless of density (drought, wildfires)
    • Cause deviations from logistic growth
    • Natural disasters, climate change, human disturbances (deforestation)
  • Resource availability determines carrying capacity
    • Food, water, shelter, space
    • Resource scarcity increases competition reducing growth rates (plants competing for nutrients)
  • influence population growth
    • Temperature, precipitation, soil quality, light availability
    • Extreme conditions limit growth or cause declines (coral bleaching from high water temperatures)
  • (biotic and abiotic) constrain population growth
    • Can include predation, disease, or resource scarcity

Natural selection for life history strategies

  • Life history strategies: traits affecting reproduction and survival
    • Shaped by natural selection to maximize fitness in an environment
    • Trade-offs between traits like offspring quantity vs quality (many small seeds vs few large seeds)
  • adapted to unstable/unpredictable environments
    • Short lifespan, early reproduction, many offspring, little parental care
    • Bacteria, insects, annual plants
  • adapted to stable/predictable environments
    • Long lifespan, late reproduction, few offspring, extensive parental care
    • Humans, elephants, trees
  • in allocating resources to different traits
    • Investing in growth may reduce reproduction
    • Natural selection favors strategies optimizing fitness in an environment (cactus retaining water in desert)
  • Some species show plasticity adjusting traits to environmental conditions
    • Adapt to changing environments without genetic change
    • Plants adjusting growth and reproduction based on resources (producing more seeds in wet years)

Population Ecology and Dynamics

  • studies how populations interact with their environment
  • Population dynamics describe changes in population size and structure over time
  • represents the maximum reproductive rate under ideal conditions
  • encompasses factors that limit population growth
  • explains how species coexist by occupying different ecological roles
  • allows species to reduce competition by utilizing different resources

Key Terms to Review (34)

Abiotic factors: Abiotic factors are the non-living chemical and physical components of the environment that influence ecosystems and living organisms. These factors include temperature, light, water, soil, and air, playing a crucial role in shaping habitats and determining the types of life that can thrive in a given area. Understanding abiotic factors helps explain patterns of biodiversity, species distribution, and ecological interactions.
Biotic potential: Biotic potential refers to the maximum capacity of an organism to reproduce under optimal environmental conditions. This concept highlights how species can grow exponentially in numbers when resources are plentiful and environmental resistance is minimal, showcasing the balance between reproductive success and environmental limits.
Biotic potential, or rmax: Biotic potential, or rmax, is the maximum rate at which a population can grow when no environmental limits are in place. It represents an ideal scenario where resources are unlimited and conditions are optimal for reproduction and survival.
Birth rate (B): Birth rate (B) is the number of live births per 1,000 individuals in a population per year. It is a critical factor in understanding population dynamics and growth patterns.
Carrying Capacity: Carrying capacity refers to the maximum number of individuals of a species that an environment can sustainably support without degrading its resources. This concept is essential in understanding how populations interact with their environment and the limits that resources impose on population growth, reflecting the balance between biological and environmental factors.
Carrying capacity, or K: Carrying capacity, or K, is the maximum population size of a species that an environment can sustain indefinitely given the available resources such as food, habitat, water, and other necessities. It is determined by environmental resistance factors and biotic potential.
Competition: Competition is an ecological interaction where organisms vie for limited resources such as food, space, or mates. This struggle occurs between individuals of the same species (intraspecific competition) or between different species (interspecific competition), influencing population dynamics and growth limits. Competition can significantly affect the health and sustainability of populations, shaping community structures and ecosystem functions.
Death rate (D): Death rate (D) is the measure of the number of deaths in a specific population, per unit of time, usually expressed per 1000 individuals per year. It is a crucial factor in understanding population dynamics and environmental limits to growth.
Density-dependent factors: Density-dependent factors are variables that affect a population's growth and health based on its density or size. These factors become more intense as the population increases, leading to increased competition for resources, higher mortality rates, and ultimately influencing the population's ability to grow. Understanding these factors is crucial for analyzing how populations respond to their environments and maintain balance within ecosystems.
Density-independent factors: Density-independent factors are environmental influences that affect population size regardless of the population's density. These factors can include natural disasters, climate conditions, and human activities that can cause sudden and significant changes in population numbers. They are important because they highlight how populations can be impacted by events that are outside of their control, and they help explain variations in population dynamics and growth limitations.
Environmental Resistance: Environmental resistance refers to the various factors in an ecosystem that limit the growth of a population, keeping it from reaching its maximum potential. This concept encompasses both biotic factors, such as competition and predation, and abiotic factors like climate and resource availability. Understanding environmental resistance helps explain why populations cannot grow indefinitely and how they interact with their environment to maintain balance.
Evolutionary trade-offs: Evolutionary trade-offs refer to the compromises that organisms face when adapting to their environments, where improvements in one trait may lead to declines in another. These trade-offs are crucial in understanding how species evolve, as they reveal the constraints and limitations imposed by environmental pressures and resource availability.
Exponential growth: Exponential growth describes a situation where the rate of population increase becomes more rapid in proportion to the growing total number or size. This type of growth occurs when resources are abundant and environmental conditions are ideal.
Exponential Growth: Exponential growth refers to a pattern of increase where the rate of growth is proportional to the current population size, leading to a rapid escalation in numbers over time. This type of growth occurs in populations with abundant resources and little to no environmental constraints, resulting in a J-shaped curve when graphed. Understanding this concept is vital as it relates to various aspects of population dynamics, including how species populations can expand, how environmental factors limit such growth, and the implications for human populations as they increase in numbers.
Intraspecific competition: Intraspecific competition is the interaction between individuals of the same species competing for limited resources such as food, space, and mates. This competition can influence population size, distribution, and evolutionary adaptations.
Intrinsic growth rate: The intrinsic growth rate (r) is the maximum potential rate of increase of a population under ideal environmental conditions, with unlimited resources and no constraints from factors such as predation or disease. This concept is crucial for understanding how populations can grow and interact with their environment, especially as it relates to environmental limits that may ultimately control population sizes.
J-shaped growth curve: A J-shaped growth curve represents exponential population growth. It depicts a situation where the population size increases rapidly over time without any constraints from environmental limits until a sudden collapse or plateau occurs.
K-selected species: K-selected species are organisms that produce fewer offspring but invest significant resources in nurturing them to ensure their survival. This strategy is often seen in stable environments where competition for resources is high, leading these species to focus on quality over quantity in terms of reproduction. K-selected species typically have longer lifespans, later maturity, and greater parental care compared to their r-selected counterparts.
Life history strategies: Life history strategies refer to the overall pattern of growth, reproduction, and survival that a species adopts in response to environmental conditions. These strategies encompass a range of traits, such as age at first reproduction, number of offspring, and parental investment, which influence a population's ability to grow and thrive within its ecosystem. Different life history strategies help species adapt to their environments, balancing trade-offs between survival and reproduction in the face of limited resources and varying conditions.
Limiting Factors: Limiting factors are environmental conditions that restrict the growth, abundance, or distribution of a population within an ecosystem. These factors can be biotic, such as food availability and predator presence, or abiotic, like temperature and water supply. Understanding limiting factors is crucial for analyzing population dynamics and how populations interact with their environment, ultimately shaping ecosystem health and biodiversity.
Logistic growth: Logistic growth describes a model of population growth that starts exponentially when the population is small, then slows down as it approaches the carrying capacity of its environment. This S-shaped curve reflects how resources limit population size, leading to stabilization around a maximum sustainable population level, which is crucial for understanding how populations interact with their environment and regulate themselves over time.
Niche Theory: Niche theory refers to the concept that each species has a specific role or function within an ecosystem, including its habitat, resources it uses, and interactions with other organisms. This theory helps explain how species coexist and how environmental factors limit population growth by defining the conditions under which different species can thrive or struggle. It underscores the importance of resource availability and competition in shaping ecological communities.
Parasitism: Parasitism is a symbiotic relationship where one organism (the parasite) benefits at the expense of another (the host). In fungi, this often involves the fungi deriving nutrients from the host, causing harm to it.
Parasitism: Parasitism is a type of symbiotic relationship where one organism, the parasite, benefits at the expense of another organism, the host. This interaction can significantly influence ecological dynamics, population structures, and community interactions, as the health and survival of hosts can be compromised by parasitic organisms.
Phenotypic Plasticity: Phenotypic plasticity is the ability of an organism to change its phenotype in response to environmental conditions. This trait allows organisms to exhibit different physical and behavioral characteristics based on varying external factors, enhancing their adaptability and survival. It plays a crucial role in how species respond to changing environments and can influence evolutionary processes by allowing populations to exploit new niches.
Population Dynamics: Population dynamics is the study of how populations change in size and structure over time, influenced by factors like birth rates, death rates, immigration, and emigration. Understanding these changes helps explain how populations respond to environmental limits and pressures, affecting their growth patterns and survival strategies in various ecosystems.
Population Ecology: Population ecology is the branch of ecology that focuses on the dynamics of species populations and their interactions with the environment. It examines factors that influence population size, distribution, and structure over time, including biotic and abiotic elements. Understanding population ecology is essential for addressing issues such as conservation, resource management, and predicting species responses to environmental changes.
Population growth rate: Population growth rate is the change in the number of individuals in a population over a specific period of time. It is typically expressed as a percentage or as the number of individuals added per unit time.
Predation: Predation is a biological interaction where one organism, the predator, hunts and kills another organism, the prey, for food. This interaction is crucial in shaping ecological communities and population dynamics, as it can influence the distribution and abundance of species, impacting overall biodiversity and community structure.
R-selected species: r-selected species are organisms that reproduce quickly and in large numbers, often at the cost of parental care and survival rates. These species thrive in unstable or unpredictable environments where rapid population growth can be advantageous for colonization and resource exploitation.
Resource partitioning: Resource partitioning is the process through which different species in a community utilize resources in different ways or at different times, reducing competition and allowing coexistence. This phenomenon often leads to a more stable ecosystem where multiple species can thrive by dividing available resources, such as food, light, or habitat. Resource partitioning is crucial for understanding how communities function and how populations can grow sustainably within environmental limits.
S-shaped curve: An S-shaped curve, or sigmoid curve, represents logistic growth where a population's size stabilizes after a period of exponential growth. This pattern occurs when environmental limits, such as resources and space, eventually restrict further growth.
Verhulst-Pearl logistic equation: The Verhulst-Pearl logistic equation is a mathematical model that describes how populations grow in a limited environment, taking into account carrying capacity and resource constraints. This equation highlights the concept that as a population approaches its environment's carrying capacity, growth rate slows down, illustrating the balance between reproduction and environmental limits.
Zero population growth: Zero population growth occurs when the number of births plus immigrants equals the number of deaths plus emigrants in a given period, resulting in no net increase in population size. It is an important concept in understanding how populations stabilize over time under certain environmental limits and conditions.
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.