Mapping the Spatial Variability of Plant Diversity in a Tropical Forest: Comparison of Spatial Interpolation Methods

Knowledge of the spatial distribution of plant species is essential to conservation and forest managers in order to identify high priority areas such as vulnerable species and habitats, and designate areas for reserves, refuges and other protected areas. A reliable map of the diversity of plant species over the landscape is an invaluable tool for such purposes. In this study, the number of species, the exponent Shannon and the reciprocal Simpson indices, calculated from 141 quadrat sites sampled in a tropical forest were used to compare the performance of several spatial interpolation techniques used to prepare a map of plant diversity, starting from sample (point) data over the landscape. Means of mapped classes, inverse distance functions, kriging and co-kriging, both, applied over the entire studied landscape and also applied within vegetation classes, were the procedures compared. Significant differences in plant diversity indices between classes demonstrated the usefulness of boundaries between vegetation types, mapped through satellite image classification, in stratifying the variability of plant diversity over the landscape. These mapped classes, improved the accuracy of the interpolation methods when they were used as prior information for stratification of the area. Spatial interpolation by co-kriging performed among the poorest interpolators due to the poor correlation between the plant diversity variables and vegetation indices computed by remote sensing and used as covariables. This indicated that the latter are not suitable covariates of plant diversity indices. Finally, a within-class kriging interpolator yielded the most accurate estimates of plant diversity values. This interpolator not only provided the most accurate estimates by accounting for the indices' intra-class variability, but also provided additional useful interpretations of the structure of spatial variability of diversity values through the interpretation of their semi-variograms. This additional role was found very useful in aiding decisions in conservation planning.

[1]  E. Crist,et al.  Application of the Tasseled Cap concept to simulated thematic mapper data , 1984 .

[2]  J. Campbell Introduction to remote sensing , 1987 .

[3]  G. Robertson Geostatistics in Ecology: Interpolating With Known Variance , 1987 .

[4]  A. Magurran Ecological Diversity and Its Measurement , 1988, Springer Netherlands.

[5]  R. Noss Indicators for Monitoring Biodiversity: A Hierarchical Approach , 1990 .

[6]  Marc Voltz,et al.  A comparison of kriging, cubic splines and classification for predicting soil properties from sample information , 1990 .

[7]  Michael Edward Hohn,et al.  An Introduction to Applied Geostatistics: by Edward H. Isaaks and R. Mohan Srivastava, 1989, Oxford University Press, New York, 561 p., ISBN 0-19-505012-6, ISBN 0-19-505013-4 (paperback), $55.00 cloth, $35.00 paper (US) , 1991 .

[8]  David J. Mulla,et al.  Geostatistical Tools for Modeling and Interpreting Ecological Spatial Dependence , 1992 .

[9]  P. Legendre Spatial Autocorrelation: Trouble or New Paradigm? , 1993 .

[10]  A. Stein,et al.  The use of prior information in spatial statistics , 1994 .

[11]  B. Gao NDWI—A normalized difference water index for remote sensing of vegetation liquid water from space , 1996 .

[12]  S. Yates,et al.  Use of pseudo-crossvariograms and cokriging to improve estimates of soil solute concentrations , 1997 .

[13]  R. Lunetta,et al.  A change detection experiment using vegetation indices. , 1998 .

[14]  G. B. Groom,et al.  The integration of field survey and remote sensing for biodiversity assessment: a case study in the tropical forests and wetlands of Sango Bay, Uganda , 1998 .

[15]  I. A. Nalder,et al.  Spatial interpolation of climatic Normals: test of a new method in the Canadian boreal forest , 1998 .

[16]  K. Juang,et al.  A Comparison of Three Kriging Methods Using Auxiliary Variables in Heavy-Metal Contaminated Soils , 1998 .

[17]  S. Pitkänen The use of diversity indices to assess the diversity of vegetation in managed boreal forests , 1998 .

[18]  P. Burrough,et al.  Principles of geographical information systems , 1998 .

[19]  Christel Prudhomme,et al.  MAPPING EXTREME RAINFALL IN A MOUNTAINOUS REGION USING GEOSTATISTICAL TECHNIQUES: A CASE STUDY IN SCOTLAND , 1999 .

[20]  Donald G. Bullock,et al.  A comparative study of interpolation methods for mapping soil properties , 1999 .

[21]  Harini Nagendra,et al.  Satellite imagery as a tool for monitoring species diversity: an assessment , 1999 .

[22]  David B. Clark,et al.  EDAPHIC FACTORS AND THE LANDSCAPE-SCALE DISTRIBUTIONS OF TROPICAL RAIN FOREST TREES , 1999 .

[23]  S. Manson Review of Principles of Geographic Information Systems: Spatial Information Systems and Geostatistics , 1999 .

[24]  Cynthia S. A. Wallace,et al.  Characterizing the spatial structure of vegetation communities in the Mojave Desert using geostatistical techniques , 2000 .

[25]  Douglas W. Yu,et al.  Predicting species diversity in tropical forests. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[26]  David B. Clark,et al.  Is the number of tree species in small tropical forest plots nonrandom , 2000 .

[27]  R. Mittermeier,et al.  Biodiversity hotspots for conservation priorities , 2000, Nature.

[28]  P. Brooker Modelling spatial variability using soil profiles in the Riverland of South Australia. , 2001, Environment International.

[29]  M. Austin Spatial prediction of species distribution: an interface between ecological theory and statistical modelling , 2002 .

[30]  Jörgen Wallerman,et al.  Prediction of forest stem volume using kriging adapted to detected edges , 2002 .

[31]  R. Ponce-Hernandez,et al.  Mapping the spatial distribution of plant diversity indices in a tropical forest using multi-spectral satellite image classification and field measurements , 2004, Biodiversity & Conservation.

[32]  P. Burrough GIS and geostatistics: Essential partners for spatial analysis , 2001, Environmental and Ecological Statistics.

[33]  G. Halffter,et al.  Spatial and temporal analysis of α, β and γ diversities of bats in a fragmented landscape , 2004, Biodiversity & Conservation.

[34]  S. S. Carroll Modelling abiotic indicators when obtaining spatial predictions of species richness , 1998, Environmental and Ecological Statistics.

[35]  K. French Spatial Variability in Species Composition in Birds and Insects , 1999, Journal of Insect Conservation.

[36]  Otto Wildi,et al.  Additive partitioning of plant species diversity in an agricultural mosaic landscape , 2000, Landscape Ecology.