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Optimal post-stratification for the study of the sustainability: An application to the monitoring of diversity in Sierra de Guerrero

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Abstract

The need of designing a monitoring network in Sierra de Guerrero motivated this paper. The study of the effect of deforestation of the forest needs of monitoring in the diversity. A quantitative evaluation of diversity is measured by estimating an index. Commonly the monitoring of biodiversity is based on the periodical selection of samples for evaluating the diversity. We propose to use sample information for determining post strata. They must constitute homogeneous zones in the forest. A stochastic program is developed for determining the post strata to be used for sampling. The procedure seems to be a good alternative with respect to the use of a heuristic procedure. The results presented are based on the data obtained in a research developed at one of the most important forest diversity reservoirs of Mexico

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References

  • Albareda-Sambola, E., & Fernández, E. (2000). The stochastic generalized assignment problem with Bernoulli demands. TOP, 8, 165–190.

    Article  Google Scholar 

  • Allende, S. M., & Bouza, C. (1987). Optimization criteria for multivariate strata construction. In Approximation en optimization. Lecture notes in mathematics (Vol. 1353, pp. 227–233). New York: Springer.

    Google Scholar 

  • Almazán, A., Urbán, G., González, R., Tapia, J., Villerías, S., Beltrán, E., & Almazán, M. (2003). Ordenamiento ecológico territorial de la subcuenca del Río San Juan del Estado de Guerrero (Reporte Técnico de Investigación). SIBEJ-UAGro.

  • Bouza, C. N., & Covarrubias, D. (2005). Estimacion del índice de diversidad de Simpson en m sitios de muestreo. Investigacion Operacional, 26, 186–195.

    Google Scholar 

  • Bouza, C. N., & Schubert, L. (2003). The estimation of the biodiversity and the characterization of the dynamics: an application to the study of a pest. Revista de Matematica E Estatistica, 21, 85–98.

    Google Scholar 

  • Cochran, W. G. (1981). Técnicas de Muestreo. Mexico: CECSA.

    Google Scholar 

  • Fager, E. W. (1972). Diversity: a sampling study. American Naturalist, 106, 293–310.

    Article  Google Scholar 

  • Gimaret-Carpentier, C., Pélissier, R., Pascal, J., & Houllier, F. (1998). Sampling strategies for the assessment of tree species diversity. Journal of Vegetation Science, 9, 161–172.

    Article  Google Scholar 

  • Haneveld, W., Klein, K., & van der Klerk, M. H. (1999). Stochastic integer programming: general models and algorithms. Annals of Operations Research, 85, 39–57.

    Article  Google Scholar 

  • Hsieh, H. L., & Li, L. A. (1998). Rarefaction diversity: a case study of polychaete communities using an amended FORTRAN program. Zoological Studies, 37, 13–21.

    Google Scholar 

  • Kempton, R. A. (2002). Species diversity. In Abbel H. El-Shaarawi & W. Piegorsh (Eds.), Encyclopedia of environmetrics (Vol. 4, pp. 2086–2092). New York: Wiley.

    Google Scholar 

  • Gove, J. H., Patil, G. P., Swindel, B. f., & Taillie, C. (1994). Ecological diversity and forest management. In G. P. Patil & C. R. Rao (Eds.), Handbook of statistics (Vol. 12). New York: Elsevier.

    Google Scholar 

  • Maradiaga, C. F. S. (2004). Desarrollo de un sistema de inventario y monitoreo de Maguey Papalote (Agave cupreata Trel. & Berger) en el estado de Guerrero. Fundación PRODUCE Guerrero A.C., Programa de Recursos Biológicos Colectivos (CONABIO) e Instituto de Investigación Científica Área Ciencias Naturales de la UAGro. Chilpancingo, Gro. México.

  • Patil, G. P., & Taillie, C. (1982). Diversity as a concept and its measurement. Journal of the American Statistical Association, 77, 548–567.

    Article  Google Scholar 

  • Shannon, C. E. (1948). A mathematical theory of communication the diversity on. The Bell System Technical Journal, 27, 379–423.

    Article  Google Scholar 

  • Shiver, B. d., & Borders, B. E. (2003). Sampling techniques for forest resource inventory. New York: Wiley.

    Google Scholar 

  • Simpson, E. H. (1949). Measuring of diversity. Nature, 163, 688.

    Article  Google Scholar 

Download references

Acknowledgements

The authors are grateful to two anonymous referees for their valuable Comments that allowed improving considerably the original version. The research of one of the authors has been partially supported by the project B/020075/08 de la Secretaría de Estado para la Cooperación Internacional de España.

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Authors and Affiliations

  1. Universidad de La Habana, Havana, Cuba

    Sira Allende & Carlos Bouza

  2. Universidad Autónoma de Guerrero, Acapulco, Mexico

    Dante Covarubias

Authors
  1. Sira Allende
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  2. Carlos Bouza
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  3. Dante Covarubias
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Correspondence to Carlos Bouza.

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Allende, S., Bouza, C. & Covarubias, D. Optimal post-stratification for the study of the sustainability: An application to the monitoring of diversity in Sierra de Guerrero. Ann Oper Res 219, 317–331 (2014). https://doi.org/10.1007/s10479-012-1154-x

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  • DOI: https://doi.org/10.1007/s10479-012-1154-x

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