Non-linear methods for multivariate statistical calibration and their use in palaeoecology: a comparison of inverse (k-nearest neighbours, partial least squares and weighted averaging partial least squares) and classical approaches

[1]  Patrick J. Bartlein,et al.  Paleoclimatic interpretation of the Elk Lake pollen record , 1993 .

[2]  C. Gouriéroux,et al.  PSEUDO MAXIMUM LIKELIHOOD METHODS: THEORY , 1984 .

[3]  William S. Rayens,et al.  Partial least squares and compositional data: problems and alternatives , 1995 .

[4]  R. G. Krutchkoff,et al.  Classical and Inverse Regression Methods of Calibration , 1967 .

[5]  J. Anderson Regression and Ordered Categorical Variables , 1984 .

[6]  C. J. Stone,et al.  Consistent Nonparametric Regression , 1977 .

[7]  G. D,et al.  American Naturalist , 1867, Nature.

[8]  V. Shelford ECOLOGICAL SUCCESSION 1. STREAM FISHES AND THE METHOD OF PHYSIOGRAPHIC ANALYSIS , 1911 .

[9]  Eric J. Barron,et al.  A comparison of Eocene climate model results to quantified paleoclimatic interpretations , 1992 .

[10]  Cohmap Members Climatic changes of the last 18,000 years: observations and model simulations. , 1988, Science.

[11]  R. Green,et al.  A Multivariate Statistical Approach to the Hutchinsonian Niche: Bivalve Molluscs of Central Canada. , 1971, Ecology.

[12]  L. E. Wangen,et al.  A theoretical foundation for the PLS algorithm , 1987 .

[13]  Patrick J. Bartlein,et al.  Climatic response surfaces from pollen data for some eastern North American taxa , 1986 .

[14]  Murray Gray,et al.  Global Climates since the Last Glacial Maximum , 1994 .

[15]  S. Wold Nonlinear partial least squares modelling II. Spline inner relation , 1992 .

[16]  C.J.F. ter Braak,et al.  Weighted Averaging Partial Least Squares regression (WA-PLS): definition and comparison with other methods for species-environment calibration , 1993 .

[17]  R. Danielsson,et al.  Multi-dimensional simplex interpolation An approach to local models for prediction , 1992 .

[18]  David Bawden,et al.  Chemical information systems : beyond the structure diagram , 1990 .

[19]  Iain Colin Prentice,et al.  Multidimensional scaling as a research tool in quaternary palynology: A review of theory and methods , 1980 .

[20]  T. Webb,,et al.  Calibrating pollen data in climatic terms: Improving the methods , 1983 .

[21]  Simon A. Levin,et al.  Niche, Habitat, and Ecotope , 1973, The American Naturalist.

[22]  C. Braak,et al.  Inferring pH from diatoms: a comparison of old and new calibration methods , 1989, Hydrobiologia.

[23]  John Aitchison,et al.  The Statistical Analysis of Compositional Data , 1986 .

[24]  B. Silverman,et al.  Spline Smoothing: The Equivalent Variable Kernel Method , 1984 .

[25]  L. Gleser Measurement, Regression, and Calibration , 1996 .

[26]  R. Carroll Measurement, Regression, and Calibration , 1994 .

[27]  M. Roux Estimation des paléoclimats d'après l'écologie des foraminifères , 1979 .

[28]  H. H. Thodberg,et al.  Optimal minimal neural interpretation of spectra , 1992 .

[29]  B. Kowalski,et al.  Theory of analytical chemistry , 1994 .

[30]  I. E. Frank A nonlinear PLS model , 1990 .

[31]  F. Vuilleumier An atlas of past and Present Pollen Maps for Europe: 0-13000 Years Ago , 1987 .

[32]  J. Overpeck,et al.  Quantitative Interpretation of Fossil Pollen Spectra: Dissimilarity Coefficients and the Method of Modern Analogs , 1985, Quaternary Research.

[33]  W. Dean,et al.  Elk Lake, Minnesota : evidence for rapid climate change in the north-central United States , 1993 .

[34]  Sijmen de Jong,et al.  Extending the relationship between ridge regression and continuum regression , 1994 .

[35]  Hans-Hermann Bock,et al.  Classification and Related Methods of Data Analysis , 1988 .

[36]  C.J.F. ter Braak,et al.  Weighted averaging of species indicator values: Its efficiency in environmental calibration , 1986 .

[37]  Patrick J. Bartlein,et al.  VEGETATION AND CLIMATE CHANGE IN EASTERN NORTH AMERICA SINCE THE LAST GLACIAL MAXIMUM , 1991 .

[38]  B. Huntley European post‐glacial forests: compositional changes in response to climatic change , 1990 .

[39]  I. Colin Prentice Palaeoecology and plant population dynamics. , 1988, Trends in ecology & evolution.

[40]  Leo A. Goodman,et al.  Measures, Models, and Graphical Displays in the Analysis of Cross-Classified Data , 1991 .

[41]  Peter Hall,et al.  A Geometrical Method for Removing Edge Effects from Kernel-Type Nonparametric Regression Estimators , 1991 .

[42]  T. Næs,et al.  Locally weighted regression and scatter correction for near-infrared reflectance data , 1990 .

[43]  C. Braak,et al.  On the statistical analysis of vegetation change: A wetland affected by water extraction and soil acidification , 1994 .

[44]  C. Braak,et al.  Monitoring of epiphytic lichens in The Netherlands (1977-1990) , 1996 .

[45]  H. J. B. Birks,et al.  Numerical Methods in Quaternary Pollen Analysis. , 1989 .

[46]  C. Eisenhart,et al.  The Interpretation of Certain Regression Methods and Their Use in Biological and Industrial Research , 1939 .

[47]  C.J.F. ter Braak,et al.  Diatoms and pH Reconstruction , 1990 .

[48]  W. Cleveland,et al.  Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting , 1988 .

[49]  S. Juggins,et al.  Reconstruction of past changes in salinity and climate using a diatom-based transfer function , 1991, Nature.

[50]  J. Imbrie,et al.  Transfer Functions: Calibrating Micropaleontological Data in Climatic Terms , 1981 .

[51]  P. Brown,et al.  Multivariate Calibration With More Variables Than Observations , 1989 .

[52]  J. Guiot,et al.  Methodology of the last climatic cycle reconstruction in France from pollen data , 1990 .

[53]  A. Berger Climatic Variations and Variability: Facts and Theories , 1981 .

[54]  B. Huntley,et al.  An Atlas of Past and Present Pollen Maps for Europe , 1984 .

[55]  C. Braak Correspondence Analysis of Incidence and Abundance Data:Properties in Terms of a Unimodal Response Model , 1985 .

[56]  L. Breiman,et al.  Variable Kernel Estimates of Multivariate Densities , 1977 .

[57]  Christine Osborne,et al.  Statistical Calibration: A Review , 1991 .

[58]  R. Clarke,et al.  Theory and Applications of Correspondence Analysis , 1985 .

[59]  B Huntley,et al.  July Temperatures in Europe from Pollen Data, 6000 Years Before Present , 1988, Science.

[60]  Peter Willett,et al.  The Use of Similarity and Clustering Techniques for the Prediction of Molecular Properties , 1991 .

[61]  T. Webb,,et al.  Late- and Postglacial Climatic Change in the Northern Midwest, USA: Quantitative Estimates Derived from Fossil Pollen Spectra by Multivariate Statistical Analysis , 1972, Quaternary Research.

[62]  T. Visser,et al.  Partial least squares regression as a multivariate tool for the interpretation of infrared spectra , 1995 .

[63]  G. Banco,et al.  Principal Component and Correspondence Analyses with Respect to Instrumental Variables : An Overview of Their Role in Studies of Structure - Activity and Species - Environment Relationships , 1991 .

[64]  Calyampudi R. Rao,et al.  Multivariate environmental statistics , 1995 .

[65]  Bjørn Lillekjendlie,et al.  A comparison of four methods for non-linear data modelling , 1994 .

[66]  R. Sundberg When is the inverse regression estimator MSE-superior to the standard regression estimator in multivariate controlled calibration situations? , 1985 .

[67]  Brian Huntley,et al.  Climatic control of the distribution and abundance of beech (Fagus L.) in Europe and North America. , 1989 .

[68]  H. Lamb,et al.  CLIMATE AND HISTORY , 1980 .

[69]  Species Abundance with Optimum Relations to Environmental Factors , 1977 .

[70]  J. Devillers,et al.  Applied multivariate analysis in SAR and environmental studies , 1991 .

[71]  Karl K. Turekian,et al.  The Late Cenozoic glacial ages , 1971 .

[72]  N. Anderson,et al.  Natural versus anthropogenic charge in lakes: The role of the sediment record. , 1993 .

[73]  Tormod Næs Multivariate Calibration Using Covariance Adjustment , 1986 .

[74]  M. Hill,et al.  Data analysis in community and landscape ecology , 1987 .

[75]  J. E. Klovan,et al.  An algorithm andFortran-iv program for large-scaleQ-mode factor analysis and calculation of factor scores , 1971 .