@article{PAR00003026,
  title = {{A} generalized variogram-based framework for multiscale ordination},
  author = {{C}outeron, {P}ierre and {O}llier, {S}.},
  editor = {},
  language = {{ENG}},
  abstract = {{M}ulti-scale ordination ({MSO}) deals with potential scale dependence in species assemblages by studying how results from multivariate ordination may be different at different spatial scales. {MSO} methods were initially based on two-term local covariances between species and, therefore, required sampling designs composed of adjacent quadrats. {A} variogram-based {MSO}, recently introduced by {H}. {H}. {W}agner, is applicable to very diverse sampling designs and for use with principal-components analysis, correspondence analysis, and derived, "two-table" (also called "direct") ordination methods, i.e., redundancy analysis and canonical correspondence analysis. {I}n this paper we put forward an enlarged framework for variogram-based {MSO} that relies on a generalized definition of inter-species covariance and on matrix expression of spatial contiguity between sampling units. {T}his enables us to provide distance-explicit decompositions of variances and covariances (in their generalized meaning) that are consistent with many ordination methods in both their single- and two-table versions. {A} spatially explicit apportioning of diversity indices is proposed for some particular definitions of variance. {R}eferring to two-table ordination methods allowed the multi-scale study of residual spatial patterns after factoring out available environmental variables. {S}ome aspects of the approach are briefly illustrated with vegetation data from a {N}eotropical rain forest in {F}rench {G}uiana},
  keywords = {{C}anonical correspondence analysis ; {D}iversity apportioning ; {M}ulti-scale ordination ; {M}ultivariate geostatistics ; {S}patial contiguity ; {S}pecies assemblages ; {T}ropical rainforest ; {V}ariogram ; {ZONE} {TROPICALE}},
  booktitle = {},
  journal = {{E}cology},
  volume = {86},
  numero = {4},
  pages = {828--834},
  year = {2005},
  URL = {https://www.documentation.ird.fr/hor/{PAR}00003026},
}