Spatial patterns and coexistence mechanisms in systems with unidirectional flow

Theoretical Population Biology

Volumn 71, Issue 3, 2007, Pages 267-277

  Lutscher, Frithjof ^a,b   McCauley, Edward ^b   Lewis, Mark A ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

Coexistence; Environmental heterogeneity; Invasion waves; Periphyton communities; Reaction advection diffusion equations; Spatial competition

Indexed keywords

ADVECTION-DIFFUSION EQUATION; ALGAL COMMUNITY; CLIMATE CHANGE; COEXISTENCE; COMMUNITY COMPOSITION; COMPETITION (ECOLOGY); DISPERSAL; FRESHWATER ECOSYSTEM; HETEROGENEITY; INVASIBILITY; MODEL; PERIPHYTON; RIVER FLOW; SPATIAL DISTRIBUTION;

ALGA; ARTICLE; BEHAVIOR; BIOLOGICAL MODEL; BIOMASS; CLASSIFICATION; COMPETITIVE BEHAVIOR; ECOSYSTEM; PHYSIOLOGY; POPULATION DYNAMICS; RIVER; SPECIES DIFFERENCE; WATER FLOW;

ALGAE; BIOMASS; COMPETITIVE BEHAVIOR; ECOSYSTEM; MODELS, BIOLOGICAL; POPULATION DYNAMICS; RIVERS; SPATIAL BEHAVIOR; SPECIES SPECIFICITY; WATER MOVEMENTS;

ALGAE;

EID: 34047183863     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2006.11.006     Document Type: Article

References (54)

1. Allan J. Stream Ecology: Structure and Function of Running Waters (1995), Chapman & Hall, London
2. Alvarez M., and Peckarsky B. How do grazers affect periphyton heterogeneity in streams?. Oecologia 142 4 (2005) 576-587
3. Amarasekare P., Hoopes M., Mouquet N., and Holyoak M. Mechanisms of coexistence in competitive metacommunities. Am. Nat. 164 3 (2004) 310-326
4. Ballyk M., and Smith H. A model of microbial growth in a plug flow reactor with wall attachment. Math. Biosci. 158 (1999) 95-126
5. Ballyk M., Dung L., Jones D.A., and Smith H. Effects of random motility on microbial growth and competition in a flow reactor. SIAM J. Appl. Math. 59 2 (1998) 573-596
6. Bencala K., and Walters R. Simulation of solute transport in a mountain pool-and-riffle stream: a transient storage model. Water Resour. Res. 19 3 (1983) 718-724
7. Biggs B., Goring D., and Nikora V. Subsidy and stress responses of stream periphyton to gradients in water velocity as a function of community growth form. J. Phycol. 34 (1998) 598-607
8. Britton N.F. Essential Mathematical Biology (2003), Springer, London
9. Cantrell R.S., and Cosner C. On the effects of spatial heterogeneity on the persistence of interacting species. J. Math. Biol. 37 (1998) 103-145
10. Cardinale B., Palmer M., Ives A., and Brooks S. Diversity-productivity relationships in streams vary as a function of the natural disturbance regime. Ecology 86 3 (2005) 716-726
11. DeAngelis D., Loreau M., Neergaard D., Mulholland P., and Marzolf E. Modelling nutrient-periphyton dynamics in streams: the importance of transient storage zones. Ecol. Modelling 80 (1995) 149-160
12. Dent L., Cumming G., and Carpenter S. Multiple states in river and lake ecosystems. Philos. Trans. Biol. Sci. 357 (2002) 635-645
13. Fagan W.F., Cantrell R.S., and Cosner C. How habitat edges change species interaction. Am. Nat. 153 (1999) 165-182
14. Fisher R. The advance of advantageous genes. Ann. Eugen. 7 (1937) 355-369
15. Fisher S., Grimm N., Marti E., Holmes R., and Jones J.J. Material spiralling in stream corridors: a telescoping ecosystem model. Ecosystems 1 (1998) 19-34
16. Flipo N., Even S., Poulin M., Tusseau-Vuillemin M.-H., Ameziane T., and Dauta A. Biogeochemical modelling at the river scale: plankton and periphyton dynamics, Grand Morin case study, France. Ecol. Modelling 176 (2004) 333-347
17. Gaylord B., and Gaines S. Temperature or Transport? Range limits in marine species mediated solely by flow. Am. Nat. 155 (2000) 769-789
18. Henry J., and Fisher S. Spatial segregation of periphyton communities in a desert stream: causes and consequences for N cycling. J. North Am. Benthological Soc. 22 4 (2003) 511-527
19. Hill B., Herlihy A., Kaufmann P., Stevenson R., and McCormick F. Use of periphyton assemblage data as an index of biotic integrity. J. North Am. Benthological Soc. 19 1 (2000) 50-67
20. Hillebrand H. Top-down versus bottom-up control of autotrophic biomass: a meta-analysis on experiments with periphyton. J. North Am. Benthological Soc. 21 3 (2002) 349-369
21. Kim B., Jackman A., and Triska F. Modeling biotic uptake by periphyton and transient hyporrheic storage of nitrate in a natural stream. Water Resour. Res. 28 (1992) 2743-2752
22. Lamberti G., Gregory S., Ashkenas L., Steinman A., and McIntire C. Productive capacity of periphyton as a determinant of plant-herbivore interactions in streams. Ecology 70 6 (1989) 1840-1856
23. Lavoie I., Warwick F., Reinhard P., and Painchaud J. Effet du debit sur la dynamique temporelle des algues periphytiques dans une riviere influencee par les activites agricoles. Rev. Sci. Eau 16 1 (2003) 55-77
24. Lehmann C., and Tilman D. Competition in spatial habitats. In: Tilman D., and Kareiva P. (Eds). Spatial Ecology, Monographs in Population Biology vol. 30 (1997), Princeton University Press, Princeton, NJ 185-203
25. Leopold L. Rivers. Am. Sci. 50 (1962) 511-537
26. Levin S., and Muller-Landau H. The evolution of dispersal and seed size in plant communities. Evol. Ecol. Res. 2 (2000) 409-435
27. Lewis M., Li B., and Weinberger H.F. Spreading speed and linear determinacy for two-species competition models. J. Math. Biol. 45 (2002) 219-233
28. Lutscher F., Pachepsky E., and Lewis M. The effect of dispersal patterns on stream populations. SIAM Appl. Math. 65 4 (2005) 1305-1327
29. Lutscher F., Lewis M.A., and McCauley E. The effects of heterogeneity on invasion and persistence in rivers. Bull. Math. Biol. 68 8 (2006) 2129-2160
30. McCormick P.V., and Stevenson R. Mechanisms of benthic algal succession in lotic environments. Ecology 72 5 (1991) 1835-1848
31. McIntire C., Gregory S., Steinman A., and Lamberti G. Modeling benthic algal communities: an example from stream ecology. In: Stevenson R., Bothwell M., and Lowe R. (Eds). Algal Ecology. Freshwater Benthic Ecosystems (1996), Academic Press, New York
32. Mulholland P., and DeAngelis D. Surface-subsurface exchange and nutrient spiraling. In: Jones Jr. J., and Mulholland P. (Eds). Streams and Ground Waters (2000), Academic Press, New York 149-166
33. Müller K. The colonization cycle of freshwater insects. Oecologica 53 (1982) 202-207
34. Murray J.D., and Sperb R.P. Minimum domains for spatial patterns in a class of reaction diffusion equations. J. Math. Biol. 18 (1983) 169-184
35. Neuhauser C., and Pacala S. An explicitly spatial version of the Lotka-Volterra model with interspecific competition. Ann. Appl. Probab. 9 4 (1999) 1226-1259
36. Nisbet R., Diehl S., Wilson W., Cooper S., Donalson D., and Kratz K. Primary-productivity gradients and short-term population dynamics in open systems. Ecol. Monogr. 67 4 (1997) 535-553
37. Pachepsky E., Lutscher F., Nisbet R., and Lewis M.A. Persistence, spread and the drift paradox. Theor. Popul. Biol. 67 (2005) 61-73
38. Peterson C.G. Mechanisms of lotic microalgal colonization following space-clearing disturbances at different spatial scales. Oikos 77 (1996) 417-435
39. Peterson C., and Stevenson R. Resistance and resilience of lotic algal communities-importance of disturbance timing and current. Ecology 73 4 (1992) 1445-1461
40. Potapov A., and Lewis M. Climate and competition: the effect of moving range boundaries on habitat invasibility. Bull. Math. Biol. 66 5 (2004) 975-1008
41. Pringle C. Nutrient spatial heterogeneity: effects on community structure, physiognomy, and diversity of stream algae. Ecology 71 (1990) 905-920
42. Robinson C., and Minshall G. Effects of disturbance frequency on stream benthic community structure in relation to canopy cover and season. J. North Am. Benthological Soc. 5 3 (1986) 237-248
43. Shigesada N., Kawasaki K., and Teramoto E. Traveling periodic waves in heterogeneous environments. Theor. Popul. Biol. 30 (1986) 143-160
44. Smith H. Monotone Dynamical Systems (1995), American Mathematical Society, Providence, RI
45. Smith H., and Waltman P. The Theory of the Chemostat: Dynamics of Microbial Competition (1995), Cambridge University Press, New York
46. Snyder E., Robinson C., Minshall G., and Rushforth S. Regional patterns in periphyton accural and diatom assemblage structure in a heterogeneous nutrient landscape. Can. J. Fish. Aquat. Sci. 59 (2002) 564-577
47. Son D., and Fujino T. Modeling approach to periphyton and nutrient interaction in a stream. J. Environ. Eng. 129 9 (2003) 834-843
48. Speirs D., and Gurney W. Population persistence in rivers and estuaries. Ecology 82 5 (2001) 1219-1237
49. Stevenson R., and Peterson C. Emigration and immigration can be important determinants of benthic diatom assemblages. Freshwater Biol. 26 (1991) 279-294
50. Strickwerda J. Finite Difference Schemes and Partial Differential Equations (1989), Chapman & Hall, New York
51. Vannote R., Minshall G., Cummins K., Sedell J., and Cushing C. The river continuum concept. Can. J. Fish. Aquat. Sci. 37 (1980) 130-137
52. Ward J., and Stanford J. The serial discontinuity concept of lotic ecosystems. In: Fontaine T., and Bartell S. (Eds). Dynamics of Lotic Ecosystems (1983), Ann Arbor Science Publications, Ann Arbor, Michigan 29-42
53. Woodward G., and Hildrew A. Food web structure in riverine landscapes. Freshwater Biol. 47 (2002) 777-798
54. Wright K., and Li J. From continua to patches: examining stream community structure over large environmental gradients. Can. J. Fish. Aquat. Sci. 59 8 (2002) 1404-1417