Program CANOCO Version 4.0 September 1997 - written by Cajo J.F. ter Braak Copyright (c) 1988-1997 Centre for Biometry Wageningen, CPRO-DLO Box 100, 6700 AC Wageningen, the Netherlands. CANOCO performs (partial) (detrended) (canonical) correspondence analysis, principal components analysis and redundancy analysis. CANOCO is an extension of Cornell Ecology program DECORANA (Hill,1979) For explanation of the input/output see the manual or Ter Braak, C.J.F. (1995) Ordination. Chapter 5 in: Data Analysis in Community and Landscape Ecology (Jongman, R.H.G., Ter Braak, C.J.F. and Van Tongeren, O.F.R., Eds) Cambridge University Press, Cambridge, UK, 91-173 pp. *** Type of analysis *** Model Gradient analysis indirect direct hybrid linear 1=PCA 2= RDA 3 unimodal 4= CA 5= CCA 6 ,, 7=DCA 8=DCCA 9 10=non-standard analysis Type analysis number Answer = 2 *** Data files *** Species data : species.DTA Covariable data : design.DTA Environmental data : design.DTA Initialization file: Forward selection of envi. variables = 0 Scaling of ordination scores = 1 Diagnostics = 1 File : species.DTA Title : E40 design: 4*2 N*P experiments in 4 complete blocks: plots in standard order pe Format : (I5,6(I5,F7.2)) No. of couplets of species number and abundance per line : 6 No samples omitted Number of samples 32 Number of species 103 Number of occurrences 1023 File : design.DTA Title : E40 design: 4*2 N*P experiments in 4 complete blocks: plots in standard order p Format : (I5,8(I5,F4.0)) No. of covariables : 10 No interaction terms defined ****************************************************************************** Names of covariables ****************************************************************************** Block1 Block2 Block3 Block4 N1 N2 N3 N0 P1 P0 ****************************************************************************** File : design.DTA Title : E40 design: 4*2 N*P experiments in 4 complete blocks: plots in standard order p Format : (I5,8(I5,F4.0)) No. of environmental variables : 10 *** Interaction terms *** Variable 11 = variable 1 * variable 5 Variable 12 = variable 2 * variable 5 Variable 13 = variable 3 * variable 5 Variable 14 = variable 4 * variable 5 Variable 15 = variable 1 * variable 6 Variable 16 = variable 2 * variable 6 Variable 17 = variable 3 * variable 6 Variable 18 = variable 4 * variable 6 ln(Ay+B)-transformation of species data A = 1.000 B = 1.000 No species-weights specified No sample-weights specified Centring/standardization by species = 1 Centring/standardization by samples = 0 No. of active samples: 32 No. of passive samples: 0 No. of active species: 103 Total sum of squares in species data = 279.601 Total standard deviation in species data TAU = .291256 Covariable Block4 is linearly dependent, hence ignored Covariable N0 is linearly dependent, hence ignored Covariable P0 is linearly dependent, hence ignored ****** Collinearity detected when fitting variable 14 ****** ****** Collinearity detected when fitting variable 15 ****** ****** Collinearity detected when fitting variable 16 ****** ****** Collinearity detected when fitting variable 17 ****** ****** Collinearity detected when fitting variable 18 ****** 1 **** Correlation matrix **** SPEC AX1 1.0000 SPEC AX2 -.0885 1.0000 SPEC AX3 -.0850 .4323 1.0000 SPEC AX4 -.0009 .6140 .4218 1.0000 ENVI AX1 .7152 .0000 .0000 .0000 1.0000 ENVI AX2 .0000 .5412 .0000 .0000 .0000 1.0000 ENVI AX3 .0000 .0000 .4504 .0000 .0000 .0000 1.0000 ENVI AX4 .0000 .0000 .0000 .0000 .0000 .0000 .0000 .0000 N1 *P1 .1077 .3282 .3517 .0000 .1506 .6063 .7808 .0000 N2 *P1 -.1548 .2956 -.3645 .0000 -.2165 .5461 -.8093 .0000 N3 *P1 -.5445 -.3340 .0897 .0000 -.7613 -.6171 .1991 .0000 N0 *P1 .5916 -.2898 -.0769 .0000 .8272 -.5354 -.1707 .0000 N1 *P0 -.1077 -.3282 -.3517 .0000 -.1506 -.6063 -.7808 .0000 N2 *P0 .1548 -.2956 .3645 .0000 .2165 -.5461 .8093 .0000 N3 *P0 .5445 .3340 -.0897 .0000 .7613 .6171 -.1991 .0000 N0 *P0 -.5916 .2898 .0769 .0000 -.8272 .5354 .1707 .0000 SPEC AX1 SPEC AX2 SPEC AX3 SPEC AX4 ENVI AX1 ENVI AX2 ENVI AX3 ENVI AX4 N1 *P1 1.0000 N2 *P1 -.3333 1.0000 N3 *P1 -.3333 -.3333 1.0000 N0 *P1 -.3333 -.3333 -.3333 1.0000 N1 *P0 -1.0000 .3333 .3333 .3333 1.0000 N2 *P0 .3333 -1.0000 .3333 .3333 -.3333 1.0000 N3 *P0 .3333 .3333 -1.0000 .3333 -.3333 -.3333 1.0000 N0 *P0 .3333 .3333 .3333 -1.0000 -.3333 -.3333 -.3333 1.0000 N1 *P1 N2 *P1 N3 *P1 N0 *P1 N1 *P0 N2 *P0 N3 *P0 N0 *P0 N name (weighted) mean stand. dev. inflation factor 1 SPEC AX1 .0000 .1860 2 SPEC AX2 .0000 .2121 3 SPEC AX3 .0000 .1446 4 SPEC AX4 .0000 .3011 5 ENVI AX1 .0000 .1330 6 ENVI AX2 .0000 .1148 7 ENVI AX3 .0000 .0651 8 ENVI AX4 .0000 .0000 11 N1 *P1 .1250 .3307 3.5000 12 N2 *P1 .1250 .3307 3.5000 13 N3 *P1 .1250 .3307 3.5000 14 N0 *P1 .1250 .3307 .0000 15 N1 *P0 .1250 .3307 .0000 16 N2 *P0 .1250 .3307 .0000 17 N3 *P0 .1250 .3307 .0000 18 N0 *P0 .1250 .3307 .0000 **** Summary **** Axes 1 2 3 4 Total variance Eigenvalues : .018 .013 .004 .091 1.000 Species-environment correlations : .715 .541 .450 .000 Cumulative percentage variance of species data : 5.5 9.6 10.9 39.1 of species-environment relation: 50.4 87.9 100.0 .0 Sum of all unconstrained eigenvalues .322 Sum of all canonical eigenvalues .035 The sum of all unconstrained eigenvalues is after fitting covariables Percentages are taken with respect to residual variances i.e. variances after fitting covariables *** MESSAGE *** The fit for species is additional to the fit due to covariables. With covariables, CANOCO cannot calculate residuals for samples. 1 *** Specification of blocks *** *** The permutations are conditioned on 3 covariable(s), namely: *** covariable Block1 covariable Block2 covariable Block3 *** Sample arrangement in permutation test *** Samples in block 1 : Whole plot 1 : 1 3 5 7 Whole plot 2 : 2 4 6 8 These 2 whole plots are permuted completely at random The 4 split plots are permuted completely at random using the same permutation in each whole plot Samples in block 2 : Whole plot 1 : 9 11 13 15 Whole plot 2 : 10 12 14 16 These 2 whole plots are permuted completely at random The 4 split plots are permuted completely at random using the same permutation in each whole plot Samples in block 3 : Whole plot 1 : 17 19 21 23 Whole plot 2 : 18 20 22 24 These 2 whole plots are permuted completely at random The 4 split plots are permuted completely at random using the same permutation in each whole plot Samples in block 4 : Whole plot 1 : 25 27 29 31 Whole plot 2 : 26 28 30 32 These 2 whole plots are permuted completely at random The 4 split plots are permuted completely at random using the same permutation in each whole plot Seeds: 23239 945 **** Summary of Monte Carlo test **** Test of significance of all canonical axes : Trace = .035 F-ratio = .857 P-value = .815 ( 199 permutations under reduced model)