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Transcript
Objectives - Chapter 14
1.
2.
3.
4.
What is an exploitative interaction?
Define Functional response
Define Numerical response
Describing predator/prey interactions
mathmatically (Lotka Volterra models)
Exploitation (Predation, etc.)
• Most important biological interactions Consumption of one organism (or part
thereof) by another
Exploitation (Predation, etc.)
Predator and prey
Kill and consume
Exploitation (Predation, etc.)
Herbivore and plant
Consume, but may
not kill
Exploitation (Predation, etc.)
Parasite and host
Consume, but may
not kill, reducing
fitness
H. Bogert
with
Leeches
Hirudinea
Leech
Leech
Parasites
• Eat only one or two different organisms
during a lifetime--- as opposed to other
types of predators (e.g., grazers that eat a
large number of plants)
• Host and habitat are the same!!!
• Leopold - “parasites kill far more organisms
than we know” - selection pressure
Exploitation (Predation, etc.)
Parasitoid and insect
Consume and kill
Exploitation (Predation, etc.)
Pathogen
Disease, debilitating
conditions of host
Exploitation
Many relationships not clear cut
E.g., Competition between two organisms
where one eats the other.
Exploitation
Many relationships not clear cut
E.g., Herbivore killing plant it feeds on
Exploitation (Predation, etc.)
Definitions of each are problematic---Common to all interactions:
One organism living at the expense of
another.
Responses of Consumer Species to Variation In
the Abundance of Their Food Species
As the density of the food species increases, the
consumer species responds by:
1. Increasing the rate at which they eat the food
species.
“Functional Response”
In Type 1 exploitation
interactions, time required to
find prey (search time) is the
only factor limiting
consumption rate.
Increasing abundance of food
organism proportionally
reduces searching time,
increasing rate of prey
consumption.
Consumption rate increases
until consumers cannot eat
any faster (Satiation)
Consumption
Rate
Theoretical Functional
Response Curves
Satiation
Lo Prey Density
Hi
In Type 2 exploitation
interactions, consumption rate
is influenced by two separate
processes:
Searching
“Handling”
At low prey density, searching
time limits consumption rate.
At moderate prey density,
handling time limits
consumption rate.
At high prey density, predator
consumption rate limited by
satiation.
Consumption
Rate
Theoretical Functional
Response Curves
Satiation
Lo
Prey Density
Hi
Theoretical Functional
Response Curves
In Type 3 exploitation
interactions, the consumer
eats multiple food species.
When a food species is rare,
the consumer may ignore it
and focus on consuming more
common species.
As a food species becomes
more abundant, the
consumer switches to eating
more of that species.
Prey Switching and
Learning Curve Limit Prey
Consumption Here
Responses of Consumer Species to Variation In
the Abundance of Their Food Species
As the density of the food species increases, the
consumer species responds by:
2. Increasing population size due to increased
survivorship and reproduction AND immigration
from surrounding areas.
“Numerical Response”
Predator Responses
Numerical Response:
1. Effect of prey on predator reproduction:
• Increased food (prey)
• Increased growth rate, survivorship
• Earlier reproduction, increased
offspring/female, increased females
• Increased R and r, increased # predators
Predator Responses
Numerical Response:
2. Effect of prey density on predator
migration
Increased food
Residents remain
Increased # predators
Predators attracted
Numerical Response-Field Examples
Brown Lemming
1951
1-5/acre
1952
15-20
1953
70-80
Numerical Response-Field Examples
Brown Lemming
1951
1-5
1952
15-20
1953
70-80
Pomarine Jaeger
uncommon
breeding
breeding
no breeding
4/mi2
18/mi2
Numerical Response-Field Examples
Brown Lemming
Pomarine jaeger
Short-eared Owl
1951
1-5
1952
15-20
1953
70-80
uncommon
no breeding
breeding
4/mi2
breeding
Absent
one record
breeding
3-4/mi2
18/mi2
Numerical Response-Field Examples
1951
1-5
1952
15-20
1953
70-80
uncommon
no breeding
breeding
4/mi2
breeding
Short-eared Owl
Absent
one record
Snowy Owl
Scarce
no breeding
breeding
.2-.5/mi2
many non
breeding
3-4/mi2
breeding
.2-.5/mi2
few non
Brown Lemming
Pomarine jaeger
18/mi2
Responses of Consumer Species to Variation In
the Abundance of Their Food Species
As the density of the food species increases, the
consumer species responds by:
3. Combination of #1 and #2.
“Combined Response”
Mini Summary:
To regulate the food species population, the
consumer population must be able to eat food
organisms faster than they can reproduce, as
determined by:
1. Consumption rate: (Functional Response).
2. Consumer Species Rate of Increase: (Numerical
Response)
3. Combined Response of Consumer Species
4. Consumer Efficiency: Number of food organisms
required to produce a new consumer organism.
Lotka Volterra Predator-Prey
Model
Prey Model - Figure 14.16
dNh/dt = rhNh - pNhNp
dNh/dt = Rate of prey population change
rh
= intrinsic growth rate of prey
p
= ingestion efficiency
Nh = density of prey
Np = density of predators
Lotka Volterra Predator-Prey
Model
Predator Model – Fig. 14.16
dNp/dt = cpNhNp - dpNp
dNp/dt = rate of predator change
c
= production efficiency of predator
p
= ingestion efficiency
Nh = density of prey
dp = death rate of predator
Np = density of predators
Lotka Volterra Predator-Prey Model
Predator
population
Predator
decreasing
Predator
increasing
Prey population
Lotka Volterra Predator-Prey Model
Predator isocline
Predator
population
Predator
decreasing
Predator
increasing
Prey population
Lotka Volterra Predator-Prey Model
Predator
population
Prey
decreasing
Prey
increasing
Prey population
Lotka Volterra Predator-Prey Model
Predator
population
Prey
decreasing
Prey
increasing
Prey population
Prey isocline
Lotka Volterra Predator-Prey Model
Predators
decreasing
Predator
population
Prey
decreasing
Predators
increasing
Prey
decreasing
Predators
decreasing
Predators
increasing
Prey
increasing
Prey
increasing
Prey population
Lotka Volterra Predator-Prey Model
Predator
population
Prey population
Lotka Volterra Predator-Prey Model
Predator
population
Prey population
Lotka Volterra Predator-Prey Model
Predator
population
Prey population
Predator-Prey Model
Question:
1. Are prey species populations being
regulated by density dependent or density
independent controls?
2. What about the predator species?
Summary for Today
• Types of exploiters
• Functional response
• Numerical response
predator reproduction
predator migration
Lotka Volterra predator-prey model