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Spatial Marked Point Patterns for Herd Dispersion in a Savanna Wildlife Herbivore Community in Kenya

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Book cover Case Studies in Spatial Point Process Modeling

Part of the book series: Lecture Notes in Statistics ((LNS,volume 185))

Summary

Quantitative descriptions of animal species’ distributions at the ecosystem level are rare. In this study we used marked spatial point pattern analysis to characterize herd spatial distributions of several species comprising a savanna large herbivore community in Laikipia, central Kenya. Points are the herd centres, marks are the herd sizes. Previous research [15] identified possible discrepancies between prey and non-prey species on the basis of the nearest neighbour distance function. In this paper we make a similar distinction and analyse possible consequences. Analysis concentrated on Ripley’s K-function on several data subsets. A digitised boundary of the area has been included. The herd patterns of Thomson gazelle and of the plains zebra were modelled with a Strauss marked point process. The pattern of the Thomson gazelle showed a single mode, whereas that of the plains zebra showed multiple modes. This can be well explained by the ecosystem behavior (habitat specialist versus habitat generalist) of the two species.

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References

  1. R. Arsenault and N. Owen-Smith. Facilitation versus competition in grazing herbivore assemblages. Oikos, 97:313–318, 2002.

    Article  Google Scholar 

  2. A.J. Baddeley and R. Turner. Introduction to SPATSTAT, spatstat version 1.5–4. http://www.maths.uwa.edu.au/~adrian/spatstat/current/Intro.pdf.

    Google Scholar 

  3. P.J. Diggle. Statistical Analysis of Spatial Point Patterns, 2nd ed. Oxford University Press, 2003.

    Google Scholar 

  4. P.J. Diggle and A.G. Chetwynd. Second-order analysis of spatial clustering for inhomogeneous populations. Biometrics, 47:1155–1163, 1991.

    Google Scholar 

  5. N. Georgiadis. Numbers and distribution of large herbivores in laikipia district: sample counts for february and september 1997. Laikipia Wildlife Forum, Nanyuki, Kenya, 1997.

    Google Scholar 

  6. N. Georgiadis, M. Hack and K. Turpin. The influence of rainfall on zebra population dynamics: implications for management. Journal of Applied Ecology, 40:125–136, 2003.

    Article  Google Scholar 

  7. F.P. Kelly and B.D. Ripley. On strauss’s model for clustering. Biometrika, 63:357–360, 1976.

    Article  MathSciNet  Google Scholar 

  8. H. Lamprey. Ecological separation of the large mammal species in the tarangire game reserve, tanganyika. East African Wildlife Journal, 2:1–46, 1963.

    Google Scholar 

  9. J. Ohser. On estimators for the reduced second moment measure of point processes. Mathematische Operationsforschung und Statistik series Statistics, 14(1):63–71, 1983.

    MATH  MathSciNet  Google Scholar 

  10. N.V. Petersen. A spatio-temporal model for fmri data. In Proceedings of the Eleventh European Young Statisticians Meeting, Marly-le-Roi, pages 196–201, 1999.

    Google Scholar 

  11. H.H.T. Prins and H. Olff. Species richness of african grazers assemblages: Towards a functional explanation. In D.M. Newbery, H.H.T. Prins and H. Brown, editors, Dynamics of Tropical Communities, pages 449–490. Blackwell Science, 1998.

    Google Scholar 

  12. B.D Ripley. Statistical Inference for Spatial Processes. Cambridge University Press, Cambridge, 1988.

    Google Scholar 

  13. B.D. Ripley. Spatial Statistics — 2nd edition. Wiley, 2004.

    Google Scholar 

  14. A. Stein, N. Georgiados and W. Khaemba. Spatial statistics to quantify patterns of herd dispersion in a savanna herbivore community. In A.J. Baddeley, P. Gregori, J. Mateu, R. Soica and D. Stoyan, editors, Spatial point process modelling and its applications, pages 239–260. Publicacions de la Universitat Jaume I, 2004.

    Google Scholar 

  15. A. Stein, N. Georgiados and W. Khaemba. Patterns of herd dispersion in savanna herbivore communities. In F. van Langeveld and H.H.T. Prins, editors, Spatial and temporal dynamics of foraging. Kluwer, (in press).

    Google Scholar 

  16. D. Strauss. A model for clustering. Biometrika, 63:467–475, 1975.

    Article  MathSciNet  Google Scholar 

  17. M.M. Voeten. Living with wildlife: Coexistence of wildlife and livestock in an East African Savannah system. PhD thesis, Wageningen University, 1999.

    Google Scholar 

  18. P.A. Walker. Modelling wildlife distributions using a geographic information system: Kangaroos in relation to climate. Journal of Biogeography, 17:279–289, 1990.

    Google Scholar 

  19. W. Wint. Drylands: Sustainable use of rangelands into the twenty-first century. In V.R. Squires and A.E. Sidahmed, editors, Resource assessment and environmental monitoring using low level aerial surveys, pages 277–301. IFAD publication, 1998.

    Google Scholar 

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Stein, A., Georgiadis, N. (2006). Spatial Marked Point Patterns for Herd Dispersion in a Savanna Wildlife Herbivore Community in Kenya. In: Baddeley, A., Gregori, P., Mateu, J., Stoica, R., Stoyan, D. (eds) Case Studies in Spatial Point Process Modeling. Lecture Notes in Statistics, vol 185. Springer, New York, NY. https://doi.org/10.1007/0-387-31144-0_14

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