How to quantify the temporal storage effect using simulations instead of math

Ecology Letters

Volumn 19, Issue 11, 2016, Pages 1333-1342

  Ellner, Stephen P ^a   Snyder, Robin E ^b   Adler, Peter B ^c  

^a Department of Obstetrics Gynecology   (United States)

^b CASE WESTERN RESERVE UNIVERSITY SCHOOL OF MEDICINE   (United States)

^c UTAH STATE UNIVERSITY   (United States)

Author keywords

Coexistence; competition; environmental variability; integral projection model; storage effect; structured population model

Indexed keywords

ALGAE; ARTEMISIA TRIDENTATA;

BIODIVERSITY; BIOLOGICAL MODEL; COMPUTER SIMULATION; DIATOM; PERIODICITY; PHYSIOLOGY; TIME FACTOR;

BIODIVERSITY; COMPUTER SIMULATION; DIATOMS; MODELS, BIOLOGICAL; PERIODICITY; TIME FACTORS;

EID: 84992474596     PISSN: 1461023X     EISSN: 14610248     Source Type: Journal    
DOI: 10.1111/ele.12672     Document Type: Letter

References (37)

1. Adler, P.B., HilleRisLambers, J., Kyriakidis, P., Guan, Q. & Levine, J.M. (2006). Climate variability has a stabilizing effect on coexistence of prairie grasses. Proc. Natl Acad. Sci. U. S. A., 103, 12793–12798.
2. Adler, P.B., HilleRisLambers, J. & Levine, J.M. (2007). A niche for neutrality. Ecol. Lett., 10, 95–104.
3. Adler, P.B., Ellner, S.P. & Levine, J.M. (2010). Coexistence of perennial plants: an embarrassment of niches. Ecol. Lett., 13, 1019–1029.
4. Angert, A.L., Huxman, T.E., Chesson, P. & Venable, D.L. (2009). Functional tradeoffs determine species coexistence via the storage effect. Proc. Natl Acad. Sci. U. S. A., 106, 11641–11645.
5. Brown, J.S. (1989a). Coexistence on a seasonal resource. Am. Nat., 133, 168–182.
6. Brown, J.S. (1989b). Desert rodent community structure: a test of four mechanisms of coexistence. Ecol. Monogr., 59, 1–20.
7. Caceres, C.E. (1997). Temporal variation, dormancy, and coexistence: a field test of the storage effect. Proc. Natl Acad. Sci. USA, 94, 9171–9175.
8. Caswell, H. (2001). Matrix Population Models: Construction, Analysis, and Interpretation, 2nd edn. Sinauer Associates, Sunderland, MA.
9. Chesson, P. (1989). A general model of the role of environmental variability in communities of competing species. In: Some Mathematical Questions in Biology: Models in Population Biology, vol. 20 of Lectures on Mathematics in the Life Sciences (ed Hastings, A.). American Mathematical Society, Providence, RI, pp. 97–123.
10. Chesson, P. (1994). Multispecies competition in variable environments. Theor. Popul. Biol., 45, 227–276.
11. Chesson, P. (2000a). General theory of competitive coexistence in spatially-varying environments. Theor. Popul. Biol., 58, 211–237.
12. Chesson, P. (2000b). Mechanisms of maintenance of species diversity. Annu. Rev. Ecol. Syst., 31, 343–366.
13. Chesson, P. (2003). Quantifying and testing coexistence mechanisms arising from recruitment fluctuations. Theor. Popul. Biol., 64, 345–357.
14. Chesson, P. (2008). Quantifying and testing species coexistence mechanisms. In: Unity in Diversity: Reflections on Ecology after the Legacy of Ramon Margalef (eds Valladares, F., Camacho, A., Elosegui, A., Estrada, M., Gracia, C., Senar, J. & Gili, J.). Fundacio BBVA, Bilbao, pp. 119–164.
15. Chesson, P. & Warner, R. (1981). Environmental variability promotes coexistence in lottery competitive systems. Am. Nat., 117, 923–943.
16. Chesson, P., Pacala, S. & Neuhauser, C. (2001). Environmental niches and ecosystem functioning. In: The Functional Consequences of Biodiversity, no. 33 in Monographs in Population Biology, chap. 10 (eds. Kinzig, A.P., Pacala, S.W. & Tilman, D.). Princeton University Press, Princeton NJ, pp. 213–245.
17. Chu, C. & Adler, P. (2015). Large niche differences emerge at the recruitment stage to stabilize grassland coexistence. Ecol. Monogr., 85, 373–392.
18. Coulson, T. (2012). Integral projections models, their construction and use in posing hypotheses in ecology. Oikos, 121, 1337–1350.
19. Descamps-Julien, B. & Gonzalez, A. (2005). Stable coexistence in a fluctuating environment: an experimental demonstration. Ecology, 86, 2815–2824.
20. Dewi, S. & Chesson, P. (2003). The age-structured lottery model. Theor. Popul. Biol., 64, 331–343.
21. Ellner, S.P. & Rees, M. (2006). Integral projection models for species with complex demography. Am. Nat., 167, 410–428.
22. Ellner, S.P., Childs, D.Z. & Rees, M. (2016). Data-Driven Modeling of Structured Populations: A Practical Guide to the Integral Projection Model. Springer, New York.
23. Fan, J. & Gijbels, I. (1996). Local Polynomial Modelling and Its Applications. Chapman & Hall, London.
24. Freckleton, R.P., Watkinson, A.R. & Rees, M. (2009). Measuring the importance of competition in plant communities. J. Ecol., 97, 379–384.
25. Mathias, A. & Chesson, P. (2013). Coexistence and evolutionary dynamics mediated by seasonal environmental variation in annual plant communities. Theor. Popul. Biol., 84, 56–71.
26. Mittelbach, G.G. 2012. Community Ecology. Sinauer Associates, Inc., Sunderland MA USA.
27. Metcalf, C.J.E., Ellner, S.P., Childs, D.Z., Salguero-Gómez, R., Merow, C., McMahon, S.M., Jongejans, E. & Rees, M. (2015). Statistical modelling of annual variation for inference on stochastic population dynamics using integral projection models. Methods Ecol. Evol., 6, 1007–1017.
28. Pake, C. & Venable, D. (1995). Is coexistence of Sonoran desert annuals mediated by temporal variability in reproductive success. Ecology, 76, 246–261.
29. Shmida, A. & Ellner, S. (1984). Coexistence of plant species with similar niches. Vegetatio, 58, 29–55.
30. Smith, H.L. (1981). Competitive coexistence in an oscillating chemostat. SIAM J. Appl. Math., 40, 498–522.
31. Smith, H.R. & Waltman, P. (1995). The Theory of The Chemostat: Dynamics of Microbial Competition, vol. 13 of Cambridge Studies in Mathematical Biology. Cambridge University Press, Cambridge.
32. Sommer, U. (1984). The paradox of the plankton: fluctuations of phosphorus availability maintain diversity of phytoplankton in flow-through cultures. Limnol. Oceanogr., 29, 633–636.
33. Sommer, U. (1985). Comparison between steady state and non-steady state competition: experiments with natural phytoplankton. Limnol. Oceanogr., 30, 335–346.
34. Stewart, F.M. & Levin, B.R. (1973). Partitioning of resources and the outcome of interspecific competition: a model and some general considerations. Am. Nat., 107, 171–198.
35. Usinowicz, J., Wright, S.J. & Ives, A.R. (2012). Coexistence in tropical forests through asynchronous variation in annual seed production. Ecology, 93, 2073–2084.
36. Yuan, C. & Chesson, P. (2015). The relative importance of relative nonlinearity and the storage effect in the lottery model. Theor. Popul. Biol., 105, 39–52.
37. Yuan, C. (2014). Perennial Plant Models To Study Species Coexistence in a Variable Environment. PhD thesis, University of Arizona, Tucson.