Abstract
We study a simple model of a forager as a walk that modifies a relaxing substrate. Within it simplicity, this provides an insight on a number of relevant and non-intuitive facts. Even without memory of the good places to feed and no explicit cost of moving, we observe the emergence of a finite home range. We characterize the walks and the use of resources in several statistical ways, involving the behavior of the average used fraction of the system, the length of the cycles followed by the walkers, and the frequency of visits to plants. Preliminary results on population effects are explored by means of a system of two non directly interacting animals. Properties of the overlap of home ranges show the existence of a set of parameters that provides the best utilization of the shared resource.
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References
P. Turchin, Quantitative Analysis of Movement: Measuring and Modeling Population Redistribution in Animals and Plants (Sinauer Associates, Sunderland, 1998)
R. Nathan, Proc. Natl. Acad. Sci. USA 105, 19050 (2008)
J.M. Morales, P. Moorcroft, J. Matthiopoulos, J. Frair, J. Kie, R. Powell, E. Merrill, D. Haydon, Philos. Trans. R. Soc. Lond. B 365, 2289 (2010)
P.M. Kareiva, U. Wennergren, Nature 373, 299 (1995)
A. Okubo, S.A. Levin, Diffusion and Ecological Problems (Springer, 2002)
A. Mikhailov, V. Calenbuhr, From Cells to Societies (Springer, 2006)
C.L. Schat, M.N. Kuperman, H.S. Wio, Math. Biosci. 131, 205 (1996)
G.M. Viswanathan, M.G.E. da Luz, E.P. Raposo, H.E. Stanley, The Physics of Foraging: An Introduction to Random Searches and Biological Encounters (Cambridge University Press, 2011)
G.M. Viswanathan, V. Afanasyev, S.V. Buldyrev, E.J. Murphy, P.A. Prince, H.E. Stanley, Nature 381, 413 (1996)
L. Giuggioli, F.J. Sevilla, V.M. Kenkre, J. Phys. A 42, 434004 (2009)
J.E. Cresswell, Oikos 78, 546 (1997)
K. Ohashi, J.D. Thomson, D. D’Souza, Behav. Ecol. 18, 1 (2007)
D.J. Levey, B.M. Bolker, J.J. Tewksbury, S. Sargent, N.M. Haddad, Science 309, 146 (2005)
C. Kwit, D.J. Levey, C.H. Greenberg, Oikos 107, 303 (2004)
S.E. Russo, C.K. Augspurger, Ecol. Lett. 7, 1058 (2004)
J.F. Saracco, J.A. Collazo, M.J. Groom, Oecologia 139, 235 (2004)
J.M. Morales, T.S. Carlo, Ecology 87, 1489 (2006)
S.E. Russo, S. Portnoy, C.K. Augspurger, Ecology 87, 3160 (2006)
T.A. Carlo, J.M. Morales, J. Ecol. 96, 609 (2008)
J. Lenz, W. Fiedler, T. Caprano, W. Friedrichs, B.H. Gaese, M. Wikelski, K. Bähning-Gaese, Proc. Roy. Soc. Lond. B 278, 2257 (2010)
J.M. Herrera, J.M. Morales, D. García, J. Ecol. 99, 1100 (2011)
F. Bartumeus, J. Catalan, U.L. Fulco, M.L. Lyra, G.M. Viswanathan, Phys. Rev. Lett. 88, 097901 (2002)
K.A. Barton, B.L. Phillips, J.M. Morales, J.M.J. Travis, Oikos 118, 309 (2009)
E.A. Fronhofer, T. Hovestadt, H.-J. Poethke, Oikos 122, 857 (2013)
P.A. Zollner, S.L. Lima, Ecology 80, 1019 (1999)
S. Benhamou, Ecology 88, 1962 (2007)
A.M. Edwards, R.A. Phillips, N.W. Watkins, M.P. Freeman, E.J. Murphy, V. Afanasyev, S.V. Buldyrev, M.G.E. da Luz, E.P. Raposo, H.E. Stanley, G.M. Viswanathan, Nature 449, 1044 (2007)
A.M. Reynolds, Ecology 93, 1228 (2012)
D. Boyer, O. Miramontes, H. Larralde, J. Phys. A 42, 434015 (2009)
H. Freund, P. Grassberger, Physica A 190, 218 (1992)
G.F. Lima, A.S. Martinez, O. Kinouchi, Phys. Rev. Lett. 87, 010603 (2001)
S. Risau-Gusman, A.S. Martinez, O. Kinouchi, Phys. Rev. E 68, 016104 (2003)
P.R. Moorcroft, A. Barnett, Ecology 89, 1112 (2008)
R.V. Alatalo, D. Eriksson, L. Gustafsson, K. Larsson, Ecology 68, 284 (1987)
L. Giuggioli, J.R. Potts, S. Harris, PLoS Comput. Biol. 7, e1002008 (2011)
G. Amico, M.A. Aizen, Nature 408, 929 (2000)
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Abramson, G., Kuperman, M.N., Morales, J.M. et al. Space use by foragers consuming renewable resources. Eur. Phys. J. B 87, 100 (2014). https://doi.org/10.1140/epjb/e2014-50032-6
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DOI: https://doi.org/10.1140/epjb/e2014-50032-6