Lec4_SppInt - Species Interactions 2 Predation...

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Species Interactions 2 Predation Lotka-Volterra Model Keystone Predation Herbivory Top down & Bottom up Trophic Cascades Defense and compensation
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Predation and Herbivory • Consumers Eats other living organisms • Predators Eat animals • Herbivores Consume plants, photosynthetic organisms • Parasites Overlap with predators and herbivores
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Predation: Mathematical Theory • Simple Prey Model Use exponential model, but add in mortality from predation Mortality from predation depends on • “ P ” the number of predators • “ V ” the number of prey • “ c ” the rate of predation (how good at killing prey) Note: No intraspecific competition in model V t = rV cPV
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Predation: Mathematical Theory Simple Prey Model Prey population size won’t change when growth rate ( rV ) is balanced by mortality from predation ( cPV ) • 0= rV-cPV cPV=rV P=r/c # predators where prey population neither declines or increases isocline for prey population V t = rV cPV
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Predation: Mathematical Theory Ricklefs pg 313 V t = rV cPV
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Predation: Mathematical Theory • Simple Predator Model Increases in predators depend on prey Depends on • “ P ” the number of predators • “ c ” the rate of predation (how good at killing prey) “V” the number of prey • “ a” the efficiency of turning prey consumed into new predator offspring P t = acPV dP
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Predation: Mathematical Theory • Simple Predator Model Without prey, predator decreases exponentially • “ P ” the number of predators • “ d ” mortality P t = acPV dP
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Predation: Mathematical Theory Predator population is steady when predator mortality is balanced by their ability to catch available prey and convert them into new predators – 0= acPV-dP dP =acPV V=d/ac # prey where where predator population neither declines or increases isocline for predator population P t = acPV dP
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Predation: Mathematical Theory Ricklefs pg 313 P t = acPV dP Number of predators (P)
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