1. Ecology 8310 Population (and Community) Ecology Coexistence in a competitive guild Hutchinson Resource heterogeneity Patch dynamics / IDH Interference competition

4. "Vast numbers of Corixide were living in the water …. These ideas finally prompted the very general question as to why there are such an enormous number of animal species."

5. Let's explore a few of those issues for a guild of competitors…

6. 1)Resource partitioning (niche divergence): "intra>inter" 2)Environmental heterogeneity 3)Disturbance 4)Interference competition

7. Many competitors: R1R1 R2R2 Assuming the dynamics of these 6 species is described fully by the R* framework…what will the outcome be?

8. How can we modify this picture to facilitate coexistence?

9. Many competitors: R1R1 R2R2 How many species could co-exist now? Let's simplify this…

10. Three competitors: R1R1 R2R2 Add in consumption… What is the outcome in each region?

11. Three competitors: R1R1 R2R2 Blue Blue & Green Green Red & Green Red

12. Note: Trade-off in R*s Correlation between R*s and consumption (i.e., better competitor consumes less)

13. Many competitors: R1R1 R2R2 Orange & Green Green & Sky Sky & Red Red & Purple Blue & Orange

14. Only two species, but what if a region is heterogeneous in S?

15. Many competitors: R1R1 R2R2 Orange & Green Green & Sky Sky & Red Blue & Orange Red & Purple

16. What if patches don’t come to a competitive equilibrium?

17. Paradox: 1 limiting resource (Nitrogen) Many species of plants (persisting together) How is this possible?

18. 1.Disturbances open up space. 2.Good colonizers arrive first. 3.Competition occurs as others colonize. 4.One species wins (within that patch). 5.“Losers” persist by colonizing recently disturbed sites.  Trade-off b/w ‘R*’ and colonizing ability Patch dynamics:

19. With-in Patch: Let’s look at one patch in detail: ABCDE Time Abundance Resource Note: Richness increases then decreases with time Species diversity

20. Now look at a collection of patches (and vary disturbances)  mosaic: Disturbances Species Richness Resources Frequent, large, intense Rare, small, mild Intermediate Disturbance Hypothesis Among- Patch: Good colonizers Good competitors

21. Successional patterns:

22. Trade-off:

23. Two species can persist…on one resource, even when one species is best competitor (if disturbances create heterogeneity)

24. Trade-off: Many species can persist…on one resource (so long as the poorest competitor is the best colonizer):

25. Possible trade-offs with competitive ability (that promote persistence of competitors): Colonizing ability Vulnerability to disturbance Vulnerability to predators Trade-offs

26. On Thursday, we'll discuss this more:

27. What if competitors compete via exploitation AND interference?

29. Logistic growth Type II functional responses Mortality Interference- mediated mortality

30. How does this change our basic 2-consumer model?

31. R N Consumer- resource phase plane: dN 2 /dt=0 Without interference (g=0) or handling costs (h=0) dR/dt=0 dN 1 /dt=0 Can you infer who will "win"?

32. Our picture isn't sufficient – we really need a 3-d phase plane…

34. Now let there be INTRAspecific interference…

35. Consumer- resource phase plane: With interference (g>0) but still no handling costs (h=0). Let sp. 1 have the lowest f/ab (i.e., invasion threshold): How can another consumer invade? R N dN 1 /dt=0 dR/dt=0 f 1 /a 1 b 1 R * 1

36. R N Consumer- resource phase plane: dN 1 /dt=0 dR/dt=0 f 1 /a 1 b 1 R * 1 For species 2 to invade: f 2 /a 2 b 2 < R * 1

37. Let's look at this in 3-d…

38. Three species equilibria where the isoplanes intersect:

40. Therefore, interference enables multiple consumers to coexist on a single resource (analogous to each species having it's own unique resource (partitioning) or specialized predator (apparent competition)