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Tilman’s Resource Ratio Hypothesis A Simple Resource Based Model of Population Growth LowHigh Growth Rate as a function of resource availability Mortality.

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Presentation on theme: "Tilman’s Resource Ratio Hypothesis A Simple Resource Based Model of Population Growth LowHigh Growth Rate as a function of resource availability Mortality."— Presentation transcript:

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2 Tilman’s Resource Ratio Hypothesis

3 A Simple Resource Based Model of Population Growth LowHigh Growth Rate as a function of resource availability Mortality rate is independent of resource levels

4 A Simple Resource Based Model of Population Growth LowHigh Equilibrium?

5 resource level A Simple Resource Based Model of Population Growth Resources are drawn down to reach a dynamic balance between uptake and release An equlibrium population size results

6 A Simple Resource Based Model of Population Growth ? Below R*, mortality increases releasing more nutrients into the environment, until the equilibrium point is reached

7 A Simple Resource Based Model of Competition What Happens with two species?

8 A Simple Resource Based Model of Competition B outcompetes A by drawing resources below R* A

9 A Simple Resource Based Model of Competition Interpretation? Only one species can exist, if there is one limiting resource

10 Considering more than one limiting resource

11 Two Species and Two Resources Species A wins Species B wins Resource 1 Resource 2 Who wins overall?

12 Dynamics with Two Limiting Resources Population Increases Population Decreases

13 R1R1 R2R2 A B Dynamics with Two Limiting Resources Who wins?

14 Dynamics with Two Limiting Resources Who wins? R1R1 R2R2 A B ? How do resources draw down?

15 R1R1 R2R2 A B B A A wins B wins Coexistence

16 Spatial Variability in Resource Ratios and Productivity Gradients

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18 2 species 4 species 7 species 3 species

19 Relationship between resource availability and diversity

20 Predator-Prey Interactions

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24 Predator-Prey Interactions: A Modeling Menagerie

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