Definition: Logistic population growth describes how populations grow in a limited environment.
Initial growth is exponential, followed by a slowdown as the population reaches its environment's carrying capacity.
This results in an S-shaped curve, also referred to as logistic growth.
Carrying Capacity
Carrying Capacity: The maximum number of individuals that an environment can sustain indefinitely based on available resources (e.g., food).
Varies by species and environment.
Acts as an upper limit for population growth.
Example: Green Borer Beetles
Starts with exponential growth until it reaches a carrying capacity (~300 adults in a barrel of grain).
After reaching capacity, the population stabilizes.
S-Shaped Curve
S-Curve Characteristics:
Exponential growth phase where the population number doubles rapidly.
Transition to stabilization as resources become limiting.
Inflection Point: The moment the growth rate shifts from increasing to decreasing.
Cases of Overshoot
Daphnia Example:
Initial exponential growth overshoot carrying capacity (~200 individuals) leading to a population decline and eventual stabilization at ~100-125 individuals.
Implications of Crowding
As populations grow and density increases, reproduction rates can decline due to limited resources and increased competition.
Density-dependent factors: Include reproduction rates, growth rates, and survival that depend on population density.
Example: Song Sparrows
Increased density leads to reduced offspring per female, possibly due to hormonal changes affecting reproduction.
Effects of Density on Organisms
High density can:
Decrease growth rates and body size.
Reduce survival rates, as seen in tadpoles and plants.
Results in unusual adaptations like wings in locusts under high density conditions.
Density Independent Factors
Definition: Factors affecting populations irrespective of their density.
Examples include natural disasters (fires, droughts, storms).
These factors can drastically reduce populations regardless of how many individuals exist.
Human Population Dynamics
Currently undergoing exponential growth:
Human population surpassed 8 billion with concerns about approaching carrying capacity.
Demographic Transition: Transition through various stages (pre-industrial, industrial, post-industrial) affecting birth and death rates.
Age Structure Graphs
Used to predict growth rates by analyzing the proportion of pre-reproductive to post-reproductive individuals.
Populations can be categorized as growing, stable, or declining based on the shape.
R-Selected vs. K-Selected Species
R-Selected Species:
High reproductive rates, small body size, little to no parental care (e.g., bacteria).
Type III survivorship curve where most offspring do not survive.
Influenced by density-independent factors.
K-Selected Species:
Lower reproductive rates, larger body size, significant parental care (e.g., mammals).
Type I or II survivorship curve, better buffer against environmental changes.
Population dynamics are more stable as they avoid extreme fluctuations.
Metapopulations
Describe interconnected populations that can interact through migration.
Source-Sink Dynamics:
Source populations: High reproduction and survival rates, often contribute migrants to other populations.
Sink populations: Lower rates of survival and reproduction, depend on immigration for maintenance.
Population Cycles
Populations like arctic hares and lynxes illustrate cycles driven by food availability and environmental factors.
Predator-prey dynamics show lagged responses where predator population changes follow those of prey, influenced by external factors such as weather and food supply.