Non-Lévy mobility patterns of Mexican Me'Phaa peasants searching for fuel wood

Human Ecology

Volumn 40, Issue 2, 2012, Pages 167-174

  Miramontes, Octavio ^a,b   DeSouza, Og ^c   Hernández, Diego ^a   Ceccon, Eliane ^b,d  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

^c FEDERAL UNIVERSITY OF VIÇOSA   (Brazil)

^d INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

Author keywords

Deterministic walks; Ecological restoration; Foraging; Fuel wood; Human mobility; L vy flights; Me'Phaa; Mexico

Indexed keywords

ECOSYSTEM SERVICE; ENVIRONMENTAL DEGRADATION; FORAGING BEHAVIOR; FOREST MANAGEMENT; HUMAN SETTLEMENT; LANDSCAPE; MOBILITY; PEASANT AGRICULTURE; WALKING;

MEXICO [NORTH AMERICA];

EID: 84859752269     PISSN: 03007839     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10745-012-9465-8     Document Type: Article

References (68)

1. Bénichou, O., Loverdo, C., Moreau, M., and Voituriez, R. (2011). Intermittent search strategies. Reviews of Modern Physics 83(1): 81.
2. Berrìo, J. C., Hooghiemstra, H., van Geel, B., and Ludlow-Wiechers, B. (2006). Environmental history of the dry forest biome of Guerrero, Mexico, and human impact during the last c. 2700 years. The Holocene 16(1): 63.
3. Boyer, D. (2008). Intricate dynamics of a deterministic walk confined in a strip. EPL (Europhysics Letters) 83: 20,001.
4. Boyer, D., and Larralde, H. (2005). Looking for the right thing at the right place: Phase transition in an agent model with heterogeneous spatial resources. Complexity 10(3): 52-55.
5. Boyer, D., and Walsh, P. D. (2010). Modelling the mobility of living organisms in heterogeneous landscapes: does memory improve foraging success? Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368(1933): 5645.
6. Boyer, D., Miramontes, O., Ramos-Fernández, G., Mateos, J. L., and Cocho, G. (2004). Modeling the searching behavior of social monkeys. Physica A: Statistical Mechanics and its Applications 342(1-2): 329-335.
7. Boyer, D., Ramos-Fernández, G., Miramontes, O., Mateos, J. L., Cocho, G., Larralde, H., Ramos, H., and Rojas, F. (2006). Scale-free foraging by primates emerges from their interaction with a complex environment. Proceedings of the Royal Society B: Biological Sciences 273(1595): 1743.
8. Boyer D, Miramontes O, Ramos-Fernández G (2008) Evidence for biological Lévy flights stands. Arxiv preprint arXiv:08021762
9. Boyer, D., Miramontes, O., and Larralde, H. (2009). Lévy-like behaviour in deterministic models of intelligent agents exploring heterogeneous environments. Journal of Physics A: Mathematical and Theoretical 42: 434,015.
10. Brantingham, P. J. (2006). Measuring forager mobility. Current anthropology 47(3): 435-459.
11. Brockmann, D., Hufnagel, L., and Geisel, T. (2006). The scaling laws of human travel. Nature 439(7075): 462-465.
12. Brown, C. T., Liebovitch, L. S., and Glendon, R. (2007). Lévy flights in Dobe ju/'hoansi foraging patterns. Human Ecology 35(1): 129-138.
13. Brown, C. T., Liebovitch, L. S., and Glendon, R. (2010). Huntergatherers optimize their foraging patterns using lévy flights. In Bates, D. G., and Tucker, J. (eds.), Human Ecology: Contemporary Research and Practice. Springer, New York, USA, pp. 51-65.
14. Burke, M. B., Miguel, E., Satyanath, S., Dykema, J. A., and Lobell, D. (2009). Warming increases the risk of civil war in Africa. Proceedings of the National Academy of Sciences 106(49): 20,670.
15. Burnham KP, Anderson DR (2002) Model selection and multimodel inference: a practical information-theoretic approach. Springer Verlag
16. Camacho Z (2007) Montaña de Guerrero: pobreza y militarización. Revista Contralínea Año 5(70). http://www.contralinea.com.mx/archivo/2007/enero/htm/montana_guerrero_militares.htm (Retrived 09/09/2011)
17. Campiteli, M., Martinez, A., and Bruno, O. (2006). An image analysis methodology based on deterministic tourist walks. Advances in Artificial Intelligence-IBERAMIA-SBIA 2006: 159-167.
18. Cervantes, V., Arriaga, V., and Carabias, J. (1996). La problematica socioambiental e institucional de la reforestacion en la region de la Montana, Guerrero, Mexico. Soc. Bot. Mex 59: 67-80.
19. Cervantes, V., Arriaga, V., Meave, J., and Carabias, J. (1998). Growth analysis of nine multipurpose woody legumes native from southern Mexico. Forest Ecology and Management 110(1-3): 329-341.
20. Charnov, E. L. (1976). Optimal foraging, the marginal value theorem. Theoretical Population Biology 9(2): 129-136.
21. Chechkin, A. V., Metzler, R., Klafter, J., and Gonchar, V. Y. (2008). Introduction to the theory of Lévy flights. In Klages, R., Radons, G., and Sokolov, I. M. (eds.), Anomalous Transport: Foundations and Applications. Wiley-VCH, Berlin.
22. de Jager, M., Weissing, F. J., Herman, P. M. J., Nolet, B. A., and van de Koppel, J. (2011). Lévy walks evolve through interaction between movement and environmental complexity. Science 332(6037): 1551.
23. Edwards, A. M., Phillips, R. A., Watkins, N. W., Freeman, M. P., Murphy, E. J., Afanasyev, V., Buldyrev, S. V., da Luz, M. G. E., Raposo, E. P., Stanley, H. E., et al. (2007). Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer. Nature 449(7165): 1044-1048.
24. Enquist, B., and Niklas, K. (2001). Invariant scaling relations across tree-dominated communities. Nature 410(6829): 655-660.
25. Flores, J. C. (2007). Dispersal time for ancient human migrations: Americas and Europe colonization. EPL (Europhysics Letters) 79: 18,004.
26. Ghilardi, A., Guerrero, G., and Masera, M. (2007). Spatial analysis of residential fuel wood supply and demand patterns in Mexico using the wisdom approach. Biomass and Bioenergy 31(7): 475-491.
27. Gonzalez, M. C., Hidalgo, C. A., and Barabási, A. L. (2008). Understanding individual human mobility patterns. Nature 453(7196): 779-782.
28. Hays GC, Bastian T, Doyle TK, Fossette S, Gleiss AC, Gravenor MB, Hobson VJ, Humphries NE, Lilley MKS, Pade NG, et al (2011) High activity and Lévy searches: jellyfish can search the water column like fish. Proceedings of the Royal Society B: Biological Sciences
29. Hébert, M. (2006). Ni la guerre, ni la paix: campagnes de "stabilisation" et violence structurelle chez les tlapanéques de la Montaña du Guerrero (Mexique). Anthropologica 48(1): 29-42.
30. Homer-Dixon, T. F. (1994). Environmental scarcities and violent conflict: evidence from cases. International Security 19(1): 5-40.
31. Hsiang, S. M., Meng, K. C., and Cane, M. A. (2011). Civil conflicts are associated with the global climate. Nature 476(49): 438-441.
32. IEA (2009). International Energy Agency-2009World Energy Outlook. OECD/IEA, Paris.
33. James A, Plank MJ, Edwards AM (2011) Assessing Lévy walks as models of animal foraging. Journal of The Royal Society Interface
34. Klafler, J., and Sokolov, I. M. (2005). Anomalous diffusion spreads its wings. Physics world 18(8): 29.
35. Knoppien, P., and Reddingius, J. (1985). Predators with two modes of searching: A mathematical model. Journal of Theoretical Biology 114(2): 273-301.
36. Landa, R., Meave, J., and Carabias, J. (1997). Environmental deterioration in rural Mexico: an examination of the concept. Ecological Applications 7(1): 316-329.
37. Lima, G. F., Martinez, A. S., and Kinouchi, O. (2001). Deterministic walks in random media. Physical Review Letters 87(1): 10,603.
38. Lomholt, M. A., Tal, K., Metzler, R., and Joseph, K. (2008). Lévy strategies in intermittent search processes are advantageous. Proceedings of the National Academy of Sciences 105(32): 11,055.
39. Mao, L., and Bian, L. (2010). A dynamic network with individual mobility for designing vaccination strategies. Transactions in GIS 14(4): 533-545.
40. Martínez MO (2008) La Montaña de Guerrero: una redefinición. Oxtotitlán: Itinerancias Antropológicas Número 2, Febrero.
41. Matthäus, F., Mommer, M. S., Curk, T., and Dobnikar, J. (2011). On the origin and characteristics of noise-induced Lévy walks of e. coli. PloS one 6(4): e18,623.
42. Miramontes, O., and Luque, B. (2002). Dynamical small-world behavior in an epidemical model of mobile individuals. Physica D: Nonlinear Phenomena 168: 379-385.
43. Miramontes O, Boyer D, Bartumeus F (2012) The effects of spatially heterogeneous prey distributions on detection patterns in foraging seabirds. PLoS ONE in press.
44. Morales-Hernández R (2006) Remesas familiares y condiciones de vida en el contexto de la migración guerrerense hacia los Estados Unidos de América (PhD Thesis). Universidad Autónoma de Guerrero
45. Newman, M. E. J. (2005). Power laws, Pareto distributions and Zip's law. Contemporary Physics 46(5): 323-351.
46. Nurzaman, S. G., Matsumoto, Y., Nakamura, Y., Shirai, K., Koizumi, S., and Ishiguro, H. (2011). From Lévy to Brownian: A computational model based on biological fluctuation. PLoS ONE 6(2): e16,168.
47. Pineda-García, F., et al. (2007). Richness and diversity of woody species in the tropical dry forest of El Tarimo, Cuenca del Balsas, Guerrero. Revista Mexicana de Biodiversidad 78(1): 129-139.
48. R Development Core Team (2009). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria.
49. Raleigh, C., and Urdal, H. (2007). Climate change, environmental degradation and armed conflict. Political Geography 26(6): 674-694.
50. Ramos-Fernández, G., Mateos, J., Miramontes, O., Cocho, G., Larralde, H., and Ayala-Orozco, B. (2004). Lévy walk patterns in the foraging movements of spidermonkeys (ateles geoffroyi). Behavioral Ecology and Sociobiology 55(3): 223-230.
51. Ramos-Fernández, G., Boyer, D., and Gómez, V. P. (2006). A complex social structure with fission-fusion properties can emerge from a simple foraging model. Behavioral ecology and sociobiology 60 (4): 536-549.
52. Reynolds, A. M. (2008). Deterministic walks with inverse-square power-law scaling are an emergent property of predators that use chemotaxis to locate randomly distributed prey. Physical Review E 78(1): 011,906.
53. Rhee, I., Shin, M., Hong, S., Lee, K., Kim, S. J., and Chong, S. (2011). On the Lévy-walk nature of human mobility. IEEE-ACM Transactions on Networking 19(3): 630-643.
54. Richerson, P. J., and Boyd, R. (2008). Being human: Migration: An engine for social change. Nature 456(7224): 877-877.
55. Rzedowski, J. (1996). Análisis preliminar de la flora vascular de los bosques mesófilos de montaña de México. Acta BotanicaMexicana 35: 25-44.
56. Santos, M. C., Boyer, D., Miramontes, O., Viswanathan, G. M., Raposo, E. P., Mateos, J. L., and Da Luz, M. G. E. (2007). Origin of power-law distributions in deterministic walks: The influence of landscape geometry. Physical Review E 75(6): 061,114.
57. Schreier, A. M., and Grove, M. (2010). Ranging patterns of hamadryas baboons: random walk analyses. Animal Behaviour 80(1): 75-87.
58. Shlesinger, M. F., and Klafter, J. (2000). Lévy walks versus Lévy flights. In Stanley, H. E., and Ostrowsky, N. (eds.), On Growth and Form: Fractal and Non-Fractal Patters in Physics. Martinus Nijhoff Publishers, Dordrecht, pp. 279-283.
59. Sims, D. W., Southall, E. J., Humphries, N. E., Hays, G. C., Bradshaw, C. J. A., Pitchford, J. W., James, A., Ahmed, M. Z., Brierley, A. S., Hindell, M. A., et al. (2008). Scaling laws of marine predator search behaviour. Nature 451(7182): 1098-1102.
60. Slatkin, M. (1973). Gene flow and selection in a cline. Genetics 75(4): 733.
61. Sokal, R. R., Harding, R. M., and Oden, N. L. (1989). Spatial patterns of human gene frequencies in Europe. American journal of physical anthropology 80(3): 267-294.
62. Stanley, H. E., and Buldyrev, S. V. (2001). The salesman and the tourist. Nature 413: 373.
63. Stephens DW, Krebs JR (1986) Foraging theory. Princeton Univ Pr
64. Sueur, C. (2011). A non-Lévy random walk in chacma baboons: What does it mean? PloS one 6(1): e16,131.
65. Taniguchi H (2011) Guerrero tiene municipios tan pobres como algunos países de Africa. CNN México. http://mexico.cnn.com/nacional/2011/01/30/guerrero-tiene-municipios-tan-pobres-como-algunospaises-de-africa (Retrieved 20/09/2011)
66. Viswanathan, G. M., Buldyrev, S. V., Havlin, S., Da Luz, M. G. E., Raposo, E. P., and Stanley, H. E. (1999). Optimizing the success of random searches. Nature 401(6756): 911-914.
67. Viswanathan GM, da Luz MGE, Raposo EP, Stanley HE (2011) The Physics of Foraging: An Introduction to Random Searches and Biological Encounters. Cambridge Univ Pr
68. Wakeley, J. (1999). Nonequilibrium migration in human history. Genetics 153(4): 1863.