Population Growth

Overview of Population Growth
  • Ecologists use various tools to understand population change. Growth occurs when resources are abundant but is ultimately limited by resource availability.

  • Populations are dynamic, responding to biotic and abiotic factors, with insights derived from modeling and observation.

Geometric Growth
  • Definition: Applies to organisms with one reproductive event per year (discrete reproduction), such as plants, elk, and caribou.

  • Assumptions: Unlimited resources and negligible predation.

Exponential Growth
  • Definition: Characterized by overlapping generations with unlimited resources.

  • Intrinsic Growth Rate (r): Growth rate per individual under unlimited resources.

  • Maximum Intrinsic Growth Rate (r_max): Highest possible growth rate for a species under optimal conditions.

  • Per Capita Growth Rate: Rate of new individuals added per existing individual.

  • Doubling Time: Time for a population to double in size.

  • Observations: Seen in exotic invasive species and human population growth, raising sustainability questions.

Logistic Growth
  • Definition: Growth rate changes with population density, with the fastest growth in the middle phases.

  • Carrying Capacity (K): The maximum sustainable population size an environment can support, limited by factors like space, nutrients, food, and water.

Density-Dependent Factors
  • Definition: Biotic factors whose effects on population growth vary with population density (e.g., disease, resource competition).

Density-Independent Factors
  • Definition: Abiotic factors affecting population dynamics regardless of density (e.g., natural disasters, weather).

Case Study: Galapagos Finch Population Growth (Geospiza fortis)
  • Population fluctuations are closely linked to rainfall, showing dramatic drops during droughts and recovery during rainy periods.

Dispersal & Metapopulations
  • Recognizes interconnected populations, not isolated units.

  • Climate change influences dispersal patterns, as seen in historical northward spread of species like maple and hemlock.

Source-Sink Dynamics
  • Habitat patches may go extinct but persist through immigration from other patches.

  • Key variables include patch size, relation to other patches, and immigration/emigration rates.

Metapopulations Defined
  • A collection of spatially distinct subpopulations of the same species connected via dispersal, allowing the whole system to persist despite individual extinctions.

Environmental Stochasticity
  • Random variability in environmental factors (e.g., resources, weather) affecting population growth rates.

Demographic Stochasticity
  • Variability in birth and death rates, with chance events having larger impacts on smaller populations.

Allee Effects
  • Challenges faced by small populations that experience declines.

Deterministic Chaos in Population Dynamics
  • Observations of cyclic population overshoots of carrying capacity (e.g., lemmings, Fire Island deer).

Human Induced Deterministic Chaos: Kaibab Plateau Case Study
  • Mule deer population fluctuated significantly due to changes in predator populations managed by human policies, demonstrating overshooting and drastic declines.