Download presentation
Presentation is loading. Please wait.
Published byJeffry Holmes Modified over 9 years ago
1
Exploiter-Victim Relationships Host-Parasite: Host death need not occur, and often does not; birth rate of host reduced by parasite Host-Parasitoid: Host death always occurs Predator-Prey: Death rate of prey increased by predators Herbivore-Plant: May resemble predation or parasitism
2
Parasitoids
3
Weevils and wasps
4
Lynx and Snowshoe Hare
5
Orange Mites, simple universe
6
Orange Mites, increased patchiness
7
Orange Mites, complex habitat
8
Field Studies: Dingoes and kangaroos
9
Dingoes and Boars
10
Lamprey and Lake Trout
11
Fox and Rabbit
12
Plant-Herbivore
13
Herbivore-- positive effect?
14
N-fertilization effects
17
Amboseli Elephants
18
Elephants not excluded
19
Elephants Excluded
20
Baobab
22
Baobab, Elephant Damage
23
Functional Response Change in predator’s attack behavior as prey density increases Basic forms to consider: Type I: Linear increase in # attacked with increasing # prey (insatiable predator) Type II: Gradual levelling off As predators become satiated Type III: Predators satiable as in Type II, but hunt inefficiently at low prey densities # attacked/pred/time Prey density I II III
24
Toxorhynchites
25
Toxorhynchites brevipalpus
26
Toxorhynchites Functional Response, sympatric & allopatric prey: NC (sympatric) IL (allopatric)
27
Fraction killed per predator/time Type IType IIType III Prey Density Type II and III: satiable predators become less effective at controlling prey as prey become more abundant.
28
Lotka-Volterra Predator-Prey Model: Assume: 1)Random search, producing encounters between prey and predators (and subsequent attacks) proportional to the product of their densities (attack rate = a’) 2)Exponential prey population growth in absence of predator, with constant growth rate, r 3)Death rate of predator is constant = q 4)Birth rate of predator proportional to #prey consumed
29
Prey growth equation Prey: Without predator, dN/dt=rN If predator searches with attack rate a’, and there are C Predators, then deaths due to predation = a’CN dN/dt = rN - a’CN
30
Predator Growth Equation dC/dt = (birth rate - death rate)C Death rate assumed constant = q Birth rate: #prey consumed x conversion constant, f = (#prey consumed)x f # prey consumed = a’CN (see prey equation) births = a’CNf birth rate = a’Nf dC/dt = (a’Nf - q)C
31
Equilibrium Conditions, Prey Prey: dN/dt = rN - a’CN = 0 r-a’C = 0 C = r/a’ C N Too many predators Not enough predators
32
Equilibrium conditions, predators dC/dt = (a’Nf - q)C = 0 a’Nf - q = 0 N = q/a’f C N More than enough prey Not enough prey
33
Changes in both species: C N
34
The prey curve has a hump
35
Humped Prey curves Rotifer density Phytoplankton density Change in phytoplankton density at different combinations of Rotifer density and phytoplankton density
36
Why the Prey curve has a Hump 1.Resource limits for prey at high densities (fewer preds needed to keep in check) 2.But, predator is most effective at low prey densities
37
Effects of a humped prey curve: Increasing oscillation (unstable) Damped oscillation (stable point) Neutral stability C N
38
Effects of a humped prey curve: Increasing oscillation (unstable) Damped oscillation (stable point) Neutral stability C N time
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.