2nd Half - Exam Review Flashcards
Intrinsic Growth Rate
The max rate at which a population can grow under ideal conditions
- r in exponential
- Lambda geometric model
What purpose do the mathematical models serve?
- Simplify complexity
- Make (quantitative) predictions
- Explore various scenarios
- Test hypothesis and mechanisms
- Communicate between disciplines
- To criticize models and decide if assumptions are realistic
Geometric Growth
Populations grow geometrically when reproduction occurs at regular time intervals
Population Increases
- By a fixed proportion - lambda
- Constant ratio of change from one time to the next
- Over discrete, non overlapping time intervals
- The larger the population becomes, the faster it grows
- Used to model populations with discrete breeding seasons or generations.
Exponential Growth
Populations grow exponentially when reproduction occurs continuously
- at a rate proportional to its current size
- continuously
- Larger the population becomes the faster it grows
- Used to model populations that grow continuously (rather than discrete intervals)
What is the critical value for lambda?
1
What is the critical value for r?
0
What does the critical value for intrinsic growth rate mean?
No growth or change in population size
What is the differences + similarities between exponential and geometric growth? (2 and 2)
Similarities:
1. Both show rapid growth due to multiplication
2. Both involve some intrinsic rate of increase
Differences
1. Geometric growth is discrete, exponential growth is continuous
2. Different interpretation of growth rates
Liebig’s law of the minimum
The rate of biological process is limited by the factor in least amount relative to the organism’s requirements
- some factor is limiting
What are the 2 main types of limits?
1.Density dependant factors - become more important as the population size increases
- lead to carrying capacity
- often due to increased infraspecific competition at higher population
- Density independent factor - affect the population size regardless of its density
Carrying capacity
The max number of individuals of a species that can be supported by the available resources in a particular environment
What factors become more important as the population size increases (3)
- decrease in birth rate
- increase in death rate
- both
When is negative density dependance observed?
- When the relationship between r max and density is -ve
- Due to intraspecific competition
Overshoot
If population exceeds carrying capacity
- decrease in birth rates
- increase in death rate
- both
Leads die off
Positive density dependent (allee effect)
The growth rate or survival of population increases as the population density increase
Due to:
- finding mate
- cooperative behaviours
- predator satiation
- resource availallity (niche construction)
Logistic Equation Model
The common model for negative density dependence
- S-shaped
- Inflection point
- Exponential phase before inflection point
- Logistic phase after inflection
K = carrying capacoty
BIDE Model of Population Dynamics
- Births
- Immigration - individuals moving into the population
- Deaths
- Emigration - The movement of individuals out of the population to other areas
What are the 3 types of fluctuation within a population
- Regular - tied to seasonal changes in environment
- Irregular - not tied to seasonal changes
- Cyclical - Intrinsic factors, result in a regularish pattern in the species, species interactions
Monotonic Damping
A smooth approach to carrying capacity
Damped Oscillations
Regular fluctuations that that decrease overtime
Stable limit cycle
Regular fluctuations that is consistent over time
Chaos
Complex, unpredictable and irregular fluctuations
Density Independent Factors: Due to stochasticity
Due to stochasticity (conditions are changing in complex ways), typically unpredictable events
- Disease outbreaks (biotic), new disease not present (disease can be density dependant)
- Natural disasters (abiotic)
- Human disturbances
A population that is more variable is less stable: (4)
- Stability - The maintenance of a relatively constant population size over time within a given geographic area (in terms of population).
- Fluctuations can lead to periods of low population size
- Small populations are more vulnerable to environmental changes and stochastic events
- Small populations are thus at much greater risk of extinction than large populations
Resilient
Population that returns quickly after perturbation
Perturbation
Any temporary or permanent change in the conditions in an ecosystem that disrupts its normal functioning or structure
Ecological Interaction
An interaction refers to the relationship between two or more species in an ecosystem
Mutualism:
Exploitation:
- Predation
- Parasitism
- Herbivory
Competition:
Commensalism:
Amensalism:
No interaction:
Mutualism ++
Exploitation +-
- Predation
- Parasitism
- Herbivory
Competition –
Commensalism + N
Amensalism - N
No interaction NN
Exploitation
Interactions in which one one individual consumes other individuals of another species
Predation
Is biological Interaction in which one organism kills and consumes another organism
Herbivory
The consumption of plants whole or in part by animals
Parasitism
Live in or on another organism host and derive nutrients from it. Often without immediately killing the host
Carnivory
Is the predation by animals that consume other animals
Cannibalism
The predation by an organism on individual of its own species
Omnivory
The consumption of organisms from more than one trophic level.
Mesopredator
A mid sized predator within an ecosystem that occupies an intermediate position in the food chain.
Optimal forage theory
- How organisms make decisions about their foraging behavior
- Assumes that organisms have limited time and energy to spend on foraging
Top Down regulation
Consumers regulate the abundance of prey species
- In turn can influence the abundance of lower trophic levels and the structure of the community
Bottom-up regulation
The availability of resources influence the abundance of consumers
- in turn can affect the structure and dynamics of the community
Search Image
Refers to a mental representation or template formed by predators to recognize and effectively locate a specific type of prey within their environment.
Functional Response
A relationship between the density of the prey and an indig=vidual predators rate of food consumption
Type I functional Response
Linear increase with prey density. Sometimes saturates at high prey densities. Predators are not constrained and can consume prey at a constant rate.
Type II Functional Response and Handling Time
Rate increases with density. Starts to slow down at higher prey densities. Plateaus at high prey density. Predators have limited handling capacity encounter prey defenses
- Handling Time: the duration of time required for a predator to capture, subdue and consume its prey after successfully locating and capturing
Type III Functional Response (most common) , Search time, and Refuge
Low prey consumption under low prey density. Rapid increase at moderate prey densities. Plateaus at high prey densities. Predators: switch between prey types or when prey have complex anti-predator defenses uses refuge. Spend time searching for prey or learning to capture prey.
- Search time: the duration of time spent by a predator actively searching for its prey within a given habitat area
- A Refuge: a location or habitat that provides protection or shelter to individuals or populations of organisms
Type I: Shows…
Type II: shows…
Type III: shows…
Type I: Shows a constant linear increase
Type II: shows a plateauing effect
Type III: shows a delayed increase followed by a plateau
Numerical Response
A change in the number of predators through population growth or population movement due to immigration or emigration.
The Lotka-Volterra Model
Used to understand dynamics of predator-prey relationship
Capture rate of predator on prey = … = …
= Functional response = consumption rate
Conversion efficiency of predator x capture rate of predator on prey = …
Numerical Response
Isoclines
Lines on a graph that indicate where the population growth rate is 0 for one or more species
- represent equilibrium conditions in population dynamics model
- particularly in predator-prey interactions or competition between species
The principal of interaction strength
- As a consumer-resource interaction strength increases, consumer-resource interacitions tend to become:
- More top heavy
- less stable and therefore more prone to extinction
- Energy flow between a consumer and its resource, the interaction becomes more oscillatory
The Weak Interaction Effect
- Weak interactions mute strong excitable interactions by..
- deflecting away from them and inhibiting population cycles
- Weakening generalist interaction strength on any one prey due to trade offs
Interspecific competition
The interaction between two species where the increased abundance of any one species the population growth of the other species to decrease
- between individuals or populations of different species
Intraspecific Competition
- Between individuals of the same species
- competition can occur through exploitation or interference