Emerging predictable features of replicated biological invasion fronts

Proceedings of the National Academy of Sciences of the United States of America

Volumn 111, Issue 1, 2014, Pages 297-301

  Giometto, Andrea ^a,b   Rinaldo, Andrea ^a,c   Carrara, Francesco ^a   Altermatt, Florian ^b  

^a EPFL   (Switzerland)

^b SWISS FEDERAL INSTITUTE OF AQUATIC SCIENCE AND TECHNOLOGY   (Switzerland)

^c UNIVERSITY OF PADOVA   (Italy)

Author keywords

Colonization; Fisher wave; Frontiers; Microcosm; Spatial

Indexed keywords

ARTICLE; CLIMATE CHANGE; DIFFUSION; ECOLOGICAL SPECIALIZATION; ENVIRONMENTAL CHANGE; EXPERIMENTATION; GROWTH RATE; INVASIVE SPECIES; LANDSCAPE ECOLOGY; MAXIMUM LIKELIHOOD METHOD; NONHUMAN; POPULATION DISPERSAL; PRIORITY JOURNAL; SPECIES DISTRIBUTION; SPECIES INVASION; STOCHASTIC MODEL; TETRAHYMENA;

COLONIZATION; FISHER WAVE; FRONTIERS; MICROCOSM; SPATIAL;

ANIMAL DISTRIBUTION; BACILLUS SUBTILIS; BIODIVERSITY; ECOSYSTEM; INTRODUCED SPECIES; MODELS, BIOLOGICAL; NORMAL DISTRIBUTION; POPULATION DENSITY; POPULATION DYNAMICS; SERRATIA; STOCHASTIC PROCESSES; TETRAHYMENA; VIDEO RECORDING;

EID: 84891907176     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1321167110     Document Type: Article

References (52)

1. Fisher RA (1937) The wave of advance of advantageous genes. Ann Eugen 7: 355-369.
2. Kolmogorov AN, Petrovskii IG, Piskunov NS (1937) A study of the diffusion equation with increase in the amount of substance, and its application to a biological problem. Bull. Moscow Univ. Math. Mech. 1(1): 1-25.
3. Skellam JG (1951) Random dispersal in theoretical populations. Biometrika 38(1-2): 196-218.
4. Elton CS (1958) The Ecology of Invasions by Animals and Plants (Methuen, London).
5. Andow DA, Kareiva PM, Levin SA, Okubo A (1990) Spread of invading organisms. Landscape Ecol 4(2/3): 177-188.
6. Grosholz ED (1996) Contrasting rates of spread for introduced species in terrestrial and marine systems. Ecology 77(6): 1680-1686.
7. Shigesada N, Kawasaki K (1997) Biological Invasions: Theory and Practice (Oxford University Press, Oxford).
8. Clobert J, Danchin E, Dhondt AA, Nichols JD, eds (2001) Dispersal (Oxford University Press, Oxford).
9. Okubo A, Levin SA (2002) Diffusion and Ecological Problems: Modern Perspectives (Springer, Berlin), 2nd Ed.
10. Hastings A, et al. (2005) The spatial spread of invasions: New developments in theory and evidence. Ecol Lett 8(1): 91-101.
11. Parmesan C, et al. (1999) Poleward shifts in geographical ranges of butterfly species associated with regional warming. Nature 399(6736): 579-583.
12. Bell G, Gonzalez A (2011) Adaptation and evolutionary rescue in metapopulations experiencing environmental deterioration. Science 332(6035): 1327-1330.
13. Leroux SJ, et al. (2013) Mechanistic models for the spatial spread of species under climate change. Ecol Appl 23(4): 815-828.
14. Bertuzzo E, Maritan A, Gatto M, Rodriguez-Iturbe I, Rinaldo A (2007) River networks and ecological corridors: Reactive transport on fractals, migration fronts, hydrochory. Water Resour Res 43(4):W04419.
15. Muneepeerakul R, et al. (2008) Neutral metacommunity models predict fish diversity patterns in Mississippi-Missouri basin. Nature 453(7192): 220-222.
16. Carrara F, Altermatt F, Rodriguez-Iturbe I, Rinaldo A (2012) Dendritic connectivity controls biodiversity patterns in experimental metacommunities. Proc Natl Acad Sci USA 109(15): 5761-5766.
17. Hallatschek O, Nelson DR (2008) Gene surfing in expanding populations. Theor Popul Biol 73(1): 158-170.
18. Sutherland WJ, et al. (2013) Identification of fundamental ecological questions. J Ecol 101(1): 58-67.
19. Levin SA (1992) The problem of pattern and scale in ecology. Ecology 73(6): 1943-1967.
20. Bascompte J, Solé RV (1995) Rethinking complexity: Modelling spatiotemporal dynamics in ecology. Trends Ecol Evol 10(9): 361-366.
21. Melbourne BA, Hastings A (2009) Highly variable spread rates in replicated biological invasions: Fundamental limits to predictability. Science 325(5947): 1536-1539.
22. Méndez V, Llopis I, Campos D, Horsthemke W (2011) Effect of environmental fluctuations on invasion fronts. J Theor Biol 281(1): 31-38.
23. Murray JD (2004) Mathematical Biology I: An Introduction (Springer, Berlin), 3rd Ed.
24. Volpert V, Petrovskii S (2009) Reaction-diffusion waves in biology. Phys Life Rev 6(4): 267-310.
25. Méndez V, Fedotov S, Horsthemke W (2010) Reaction-Transport Systems (Springer, Berlin).
26. Lubina JA, Levin SA (1988) The spread of a reinvading species: Range expansion in the California sea otter. Am Nat 131(4): 526-543.
27. Holmes EE (1993) Are diffusion models too simple? A comparison with telegraph models of invasion. Am Nat 142(5): 779-795.
28. Solé RV, Bascompte J (2006) Self-Organization in Complex Ecosystems (Princeton Univ Press, Princeton).
29. Roques L, Garnier J, Hamel F, Klein EK (2012) Allee effect promotes diversity in traveling waves of colonization. Proc Natl Acad Sci USA 109(23): 8828-8833.
30. Pybus OG, et al. (2012) Unifying the spatial epidemiology and molecular evolution of emerging epidemics. Proc Natl Acad Sci USA 109(37): 15066-15071.
31. Campos D, Fort J, Méndez V (2006) Transport on fractal river networks: application to migration fronts. Theor Popul Biol 69(1): 88-93.
32. Hallatschek O, Hersen P, Ramanathan S, Nelson DR (2007) Genetic drift at expanding frontiers promotes gene segregation. Proc Natl Acad Sci USA 104(50): 19926-19930.
33. Fort J, Pujol T (2008) Progress in front propagation research. Rep Prog Phys 71(8): 086001.
34. Bertuzzo E, Casagrandi R, Gatto M, Rodriguez-Iturbe I, Rinaldo A (2010) On spatially explicit models of cholera epidemics. J R Soc Interface 7(43): 321-333.
35. Righetto L, et al. (2010) Modelling human movement in cholera spreading along fluvial systems. Ecohydrology 4(1): 49-55.
36. Fort J, Solé RV (2013) Accelerated tumor invasion under non-isotropic cell dispersal in glioblastomas. New J Phys 15(5):055001.
37. Ammerman AJ, Cavalli-Sforza LL (1984) The Neolithic Transition and the Genetics of Populations in Europe (Princeton Univ Press, Princeton).
38. Fort J (2012) Synthesis between demic and cultural diffusion in the Neolithic transition in Europe. Proc Natl Acad Sci USA 109(46): 18669-18673.
39. Hekstra DR, Leibler S (2012) Contingency and statistical laws in replicate microbial closed ecosystems. Cell 149(5): 1164-1173.
40. Schtickzelle N, Fjerdingstad EJ, Chaine A, Clobert J (2009) Cooperative social clusters are not destroyed by dispersal in a ciliate. BMC Evol Biol 9(251):251, 10.1186/1471-2148-9-251.
41. Giometto A, Altermatt F, Carrara F, Maritan A, Rinaldo A (2013) Scaling body size fluctuations. Proc Natl Acad Sci USA 110(12): 4646-4650.
42. Berg HC (1993) Random Walks in Biology (Princeton Univ Press, Princeton).
43. Sbalzarini IF, Koumoutsakos P (2005) Feature point tracking and trajectory analysis for video imaging in cell biology. J Struct Biol 151(2): 182-195.
44. Polin M, Tuval I, Drescher K, Gollub JP, Goldstein RE (2009) Chlamydomonas swims with two "gears" in a eukaryotic version of run-and-tumble locomotion. Science 325(5939): 487-490.
45. Dornic I, Chaté H, Muñoz MA (2005) Integration of Langevin equations with multiplicative noise and the viability of field theories for absorbing phase transitions. Phys Rev Lett 94(10):100601.
46. Bonachela J, Muñoz MA, Levin SA (2012) Patchiness and demographic noise in three ecological examples. J Stat Phys 148(4): 723-739.
47. Turing AM (1952) The chemical basis of morphogenesis. Philos Trans R Soc Lond, B 237(641): 37-72.
48. Holyoak M, Lawler SP (2005) Population dynamics and laboratory ecology. Advances in Ecological Research (Academic, London), Vol 37, pp 245-271.
49. Altermatt F, Bieger A, Carrara F, Rinaldo A, Holyoak M (2011) Effects of connectivity and recurrent local disturbances on community structure and population density in experimental metacommunities. PLoS ONE 6(4):e19525.
50. Altermatt F, Schreiber S, Holyoak M (2011) Interactive effects of disturbance and dispersal directionality on species richness and composition in metacommunities. Ecology 92(4): 859-870.
51. Gardiner C (2006) Stochastic Methods (Springer, Berlin), 4th Ed.
52. Moro E (2004) Numerical schemes for continuum models of reaction-diffusion systems subject to internal noise. Phys Rev E Stat Nonlin Soft Matter Phys 70(4 Pt 2): 045102.