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.