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Transcript
Population Dynamics Theory
and Biological Control
What We Ask of Theory
What features of the parasitoid, host or
environment are responsible for
successful pest control in classical
biological control projects
Components of “Success”
1. Big reduction in pest density
2. Stable suppression (regulation)
Hypothetical Successful Biological Control
VDB
Examples of Real Successful Biological Control
ash
whitefly
bean bruchid
B&F
J&K
larch casebearer
The Basics of Population
Dynamics
How do animal populations grow?
Types of Population Growth
Seen in Animal Populations
• Exponential- compounding growth is
expected if there are no external constraints of
food, habitat quality, or natural enemies
• Logistic (sigmoid)- growth is seen when
growth rate de-accelerates due to a restraint
Exponential
growth
occurs
wheninresources
are
abundant,
II Exponential
growth
growth
continuous
time
no
the habitat
favorable
and freefor
of significant
natural
discrete
generations.
Appropriate
continuously
breeding
populations
like human
beings
enemies. Under
these conditions,
densities “compound”
dN
= rN
dt
If as densities increase, resources become less available or of lower
quality, the habitat deteriorates, or natural enemy action increases,
growth rates slow and become logistic rather than exponential (Var)
Exponential
Logistic
Concept: K, the carrying capacity of the habitat
Example of Logistic Population Growth in Fruit Flies
From Pearl 1925
Example of Logistic
Population Growth in
Paramecium
Why is Biological Control Useful?
• All populations eventually reach a carrying
capacity and either level off or decrease.
• If caused by starvation or species-induced
pollution, the habitat may be damaged.
• Biological control is valuable because natural
enemies often cause populations to level off at
densities lower that those set by starvation or
pollution, thus protecting the habitat
How is Biological Control
Achieved?
• Question #1. How do natural enemies
suppress a pest’s population
• Question #2. What prevents the natural
enemy from driving the pest to extinction
and thus inducing instability in the
system?
Mortality factors are conceptualized as (1) density dependent vs.
not, (2) physical vs biological, and (3) reciprocal vs. not
VDB
Simple Model: host-parasitoid population cycles.
How is strong pest
suppression achieved?
1. Quick parasitoid generations
2. Good host finding
3. Increased parasitism when and
where hosts are most dense
1. Quick Generation Time
Concept of GTR
Generation Time Ratio (GTR)
Strong pest suppression (here, low Q) is associated with low GTR
(that is fast developing predators relative to their prey)
D
Relative predator prey development rates
D
2. Good Host Finding
Natural enemies must be able to
efficiently find hosts to suppress
their populations
Host Finding Ability
• This varies by group and species
and is based on many factors,
especially responsiveness to
kairomones from the host or
host/plant complex
• Discussed in chapter/lecture on
parasitoid/predator biology
Higher host
searching ability
results in lower
host density
M
3. Increased Parasitism When and
Where Hosts are Most Dense
Concept: Direct Density Dependence
Mechanisms:
1. functional response-eat more
2. spatial response-predator aggregation
to host rich patches
3. reproductive response-quick
reproduction when hosts are common
Density Dependency
• Direct - population thermostat
• Inverse - predator saturation
• Independent - abiotic mortality
Kinds of relatedness between mortality level and pest density as
% Mortality vs density
Number Killed
Kinds of relatedness between mortality level and pest density
As Number Killed vs Density
Elk
III. Two main causes of Density Dependence
-Competition for resources
-Action of natural enemies (e.g. predators,
parasites diesease)
Examples of processes that vary with density
B&F
Functional Response
• Number of prey eaten per predator
varies with density
• Pattern of this relationship varies
but only some produce direct density
dependency
Types of Functional Response
• Nicholson-Type I
• Holling- Type II
• Sigmoid – Type III
• Thompson
VDB
var
Functional Response
-Rarely Efficacious
•Only the Type III response is ever
density dependent in action, and then
only in the lower ranges of prey
density
•Conclusion: functional response is
unlikely to focus predation on dense
host patches and unlikely to produce
regulation
Spatial Response
• If a local patch of prey increases in
density, mobile predators may move
to and aggregate on it
100
A
90
Percent Parasitism
The tachinid
Compsilura
conncinata
responds with
local positive
aggregation to
small patches of
higher density
gypsy moth larvae,
as show by attack
levels in
artificially created
local outbreaks
80
70
60
50
40
30
20
10
0
4
4.5
5
5.5
6
2
6.
Log10 Density of First Instar Gypsy Moths per Ha
Spread of natural enemies
% of euonymus in landscape with Chilocorus kuwanae
Insert picture of euonymous
Reproductive Response
(numerical response)
• If a prey population increases in
density, parasitoids or predators may
increase locally at a faster rate
• The predators may overwhelm the
prey in 1-3 generations
Reproductive response of Aphytis melinus to outbreak of CA red scal
Surge of
parasitism
following
artificially induced
increase in scale
density
Total Response
• Functional, spatial or reproductive
responses may occur together to
produce the total response
J&K
Numerical Response - predator density increases in response to increases in
prey density
For bay-breasted warblers preying upon spruce budworm.
The density of birds increases with the density of caterpillars.
Functional Response - individual predators each consume more prey in response
to increases in prey density.
The number of caterpillars eaten per warbler increases with caterpillar density
Functional response
Numerical response
Total response
Recognizing Density Dependency
M
var
This is an example of a multi-equilibrium model
with complex density dependence
Stability?
What prevents the natural
enemy from driving the pest to
extinction and thus inducing
instability in the system?
What keeps parasitoid/hosts cycles from oscillating wildly and
producing local extinctions?
var
Instability through host extinction: In simple
systems
exploitersStudies
drive victims to extinction
V. Laboratory
Experiments by Gause (1932, 1934) with
Paramecium and predatory protozoan
Didinium. Under most conditions, predator
drove prey to extinction and thereby when
extinct itself:
var
Potentially Stabilizing Mechanisms to
Prevent Complete Exploitation by Predators
1. Physical refuges for pest
2. Natural enemy aggregation
3. Parasitoid interference
4. Meta population dynamics
5. Invulnerable host age class
Stabilizing Mechanisms Fall into Two Classes
Forces making predators less efficient
• Natural enemy aggregation…..
• Parasitoid mutual interference
No catch “zones” that permit pest
recolonization after high enemy impact
• Physical refuges for pest…
• Meta population dynamics
• Invulnerable host age class
Density dependent natural enemy
aggregation
M
Physical refuges for pest
Huffaker (1958) had similar results with herbivorous
and predatory mites fed on oranges in the laboratory.
Both went to extinction until he made the habitat
sufficiently complex. Then he got a stable oscillation
as predicted by the Lotka-Volterra model. Take
home message: Laboratory studies of population
dynamics frequently oversimplify.
Conflicts between Features that Depress Host
Density and Allow Stability of the
Populations?
Some stabilizing features, such as
parasitoid aggregation or a host
refuge have the effect of allowing
pest’s to be more abundant
M
Meta Population Dynamics
Another stabilizing mechanism postulated to
exist is the concept that a spatial mosaic of
populations (=meta population)
Two mechanisms are possible”
1. Many desynchronized populations
2. Systems in which the host is a better
colonizer than the natural enemy, conferring
on it some “enemy free” habitat patches
Butterfly
occupies most
habitat patches,
even the more
isolated ones
Parasitoid is
restricted to less
isolated patches
more isolated
less isolated
van Nouhuys and Hanski, JAE 2002
Invulnerable pest age class
1. Bill Murdoch has recently shown that the mechanism for
stability in the Aphytis melinus/ CA red scale system in citrus
occur on a local spatial scale (the tree, therefore not a meta
population explanation)
2. The stabilizing mechanism is that there is an invulnerable host
stage (the adult female) that is long lived relative to the life
stages of the parasitoid
3. Therefore, if a scale patch induces a parasitoid upsurge
(through quick parasitoid reproduction), the progeny of the
parasitoids will have declined in number before the scale’s
invulnerable age class dies off.
Results of field
experiment. Top figure
shows change in scale
numbers after artificial
enhancement of scale.
Middle and bottom figure
show increase in A.
melinus stages through
numerical response to
scale population change
(source, this and next
three slides: Murdoch et
al, Science, 2005)
Model of scale and parasitoid interactions
Model predictions of scale /parasitoid interaction
Outcome in field
Natural Enemy Replacement
In classical biological control, it may
not be obvious at first which natural
enemies is best. If a series of species
are introduced and if by chance less
effective species come first, these may
later be out competed and replaced by
subsequently introduced, more
efficient species.
Var
Simulation Modeling
Understanding of system can
be assessed by building a
simulation model of how you
think it is working
J&K
M&B
Can Theory Help Us Pick More
Effective Natural Enemies?
• Food web analyses to identify type of
natural enemy needed?
• Models to predict impact of specific
species?
• Attributes that indicate the right type of
species to introduce