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Sci Rep. 2016 Jul 28;6:29908. doi: 10.1038/srep29908.

Spatial Competition: Roughening of an Experimental Interface.

Scientific reports

Andrew J Allstadt, Jonathan A Newman, Jonathan A Walter, G Korniss, Thomas Caraco

Affiliations

  1. Department of Forest and Wildlife Ecology, University of Wisconsin-Madison, Madison, Wisconsin 53706 USA.
  2. College of Biological Science, University of Guelph, Guelph, Ontario N1G 2W1 Canada.
  3. Department of Ecology and Evolutionary Biology and Kansas Biological Survey, University of Kansas, Lawrence, KS 66047 USA.
  4. Department of Physics, Applied Physics and Astronomy, Rensselaer Polytechnic University, Troy, NY 12308 USA.
  5. Department of Biological Sciences, University at Albany, Albany, New York 12222 USA.

PMID: 27465518 PMCID: PMC4964332 DOI: 10.1038/srep29908

Abstract

Limited dispersal distance generates spatial aggregation. Intraspecific interactions are then concentrated within clusters, and between-species interactions occur near cluster boundaries. Spread of a locally dispersing invader can become motion of an interface between the invading and resident species, and spatial competition will produce variation in the extent of invasive advance along the interface. Kinetic roughening theory offers a framework for quantifying the development of these fluctuations, which may structure the interface as a self-affine fractal, and so induce a series of temporal and spatial scaling relationships. For most clonal plants, advance should become spatially correlated along the interface, and width of the interface (where invader and resident compete directly) should increase as a power function of time. Once roughening equilibrates, interface width and the relative location of the most advanced invader should each scale with interface length. We tested these predictions by letting white clover (Trifolium repens) invade ryegrass (Lolium perenne). The spatial correlation of clover growth developed as anticipated by kinetic roughening theory, and both interface width and the most advanced invader's lead scaled with front length. However, the scaling exponents differed from those predicted by recent simulation studies, likely due to clover's growth morphology.

References

  1. Phys Rev Lett. 1986 Mar 3;56(9):889-892 - PubMed
  2. J Theor Biol. 1999 Sep 21;200(2):121-46 - PubMed
  3. Phys Rev Lett. 2000 Feb 7;84(6):1351-4 - PubMed
  4. Science. 2003 Jan 31;299(5607):677-9 - PubMed
  5. Theor Popul Biol. 2003 Nov;64(3):271-80 - PubMed
  6. Am Nat. 2003 Nov;162(5):685-9 - PubMed
  7. Phys Rev Lett. 2004 Jun 4;92(22):225501 - PubMed
  8. J Theor Biol. 2005 Mar 7;233(1):137-50 - PubMed
  9. Ann Bot. 2005 Aug;96(2):269-78 - PubMed
  10. Am Nat. 2006 Jan;167(1):16-27 - PubMed
  11. Phys Rev E Stat Nonlin Soft Matter Phys. 2006 May;73(5 Pt 2):056103 - PubMed
  12. Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Oct;74(4 Pt 1):041116 - PubMed
  13. Am Nat. 2001 May;157(5):537-54 - PubMed
  14. Bull Math Biol. 2009 Jul;71(5):1160-88 - PubMed
  15. Am Nat. 2009 Jul;174(1):E23-39 - PubMed
  16. Am Nat. 2011 Jan;177(1):18-28 - PubMed
  17. Ecology. 2011 Oct;92(10):1887-94 - PubMed
  18. J Theor Biol. 2012 Aug 7;306:46-60 - PubMed
  19. Am Nat. 1999 Jun;153(6):575-602 - PubMed
  20. Theor Popul Biol. 1998 Feb;53(1):30-43 - PubMed
  21. J Theor Biol. 1998 Jun 7;192(3):363-76 - PubMed
  22. Phys Rev B Condens Matter. 1987 Mar 1;35(7):3485-3495 - PubMed
  23. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1994 Aug;50(2):R639-R642 - PubMed

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