Stat7: Lösung

Veröffentlichungsdatum

20. November 2023

Musterlösung Aufgabe 7.1: RDA

Übungsaufgabe (hier so ausführlich formuliert, wie dies auch in der Klausur der Fall sein wird)

  • Ladet die zwei Dateien dave_sveg.csv und dave_ssit.csv welche die Moordatensätze enthalten. sveg beinhaltet presenceabsence-Daten aller untersuchten Arten in den Plots; ssit beinhaltet 18 metrische Umweltdaten sowie Koordinaten der Plots
  • Führt eine RDA und eine Varianzpartizionierung in die Variablengruppen Physiographie (Waterlev.max, Waterlev.av, Waterlev.min, log.peat.lev, log slope.deg) und Chemie (alle übrigen) durch.
  • Formuliert abschliessend einen Methoden- und Ergebnisteil (ggf. incl. adäquaten Abbildungen) zu dieser Untersuchung in der Form einer wissenschaftlichen Arbeit (ausformulierte schriftliche Zusammenfassung, mit je einem Absatz von ca. 60-100 Worten, resp. 3-8 Sätzen für den Methoden- und Ergebnisteil). D. h. alle wichtigen Informationen sollten enthalten sein, unnötige Redundanz dagegen vermieden werden.
  • Während im Text normalerweise die Variablen ausgeschrieben werden solltet, genügt es hier (da ihr die entsprechenden Infos nicht bekommen habt und nur raten könntet), wenn ihr die Abkürzungen aus dem dataframe nehmt.

Moordatensatz laden

library("readr")

sveg <- read_delim("datasets/stat5-8/dave_sveg.csv")
ssit <- read_delim("datasets/stat5-8/dave_ssit.csv")
summary(sveg)
summary(ssit)
str(ssit)
# x.axis and y.axis vom data frame data frame ssit entfernen
env2 <- ssit[, -c(19, 20)]

Betrachtung der Daten zeigt, dass die Koordinaten in Spalten 19 und 20 sind, die daraufhin entfernt werden.

# Generiere zwei subset der erklärenden Variablen
# Physiografie (upstream-downstream-Gradient)
envtopo <- env2[, c(11:15)]
names(envtopo)
[1] "Waterlev.max"  "Waterlev.av"   "Waterlev.min"  "log.peat.lev" 
[5] "log.slope.deg"
# Chemie
envchem <- env2[, c(1:10, 16:18)]
names(envchem)
 [1] "pH.peat"        "log.ash.perc"   "Ca_peat"        "Mg_peat"       
 [5] "Na_peat"        "K_peat"         "Acidity.peat"   "CEC.peat"      
 [9] "Base.sat.perc"  "P.peat"         "pH.water"       "log.cond.water"
[13] "log.Ca.water"  
# Hellinger-transform the species dataset
library("vegan")
spe.hel <- decostand(sveg, "hellinger")

Vorstehend wurden die Variablen in die zwei Gruppen Chemistry und Physiography aufgteilt. Die Hellilnger-Transformation wird gemeinhin empfohlen (wobei dahingestellt sei, ob sie auch bei presence-absence-Daten nötig ist). Die weiteren Analysen führen wir mit der default-Einstellung „Scaling 2“ durch. (Je nach Bedarf bzw. persönlichen Vorlieben könnte auch Scaling 1 genommen werden).

Redundancy analysis (RDA)

RDA of the Hellinger-transformed mire species data, constrained by all the environmental variables contained in env2

## RDA der Hellinger-transformireten Moorarten-Daten, constrained
## mit allen Umweltvarialben die in env2 enthalten sind
(spe.rda <- rda(spe.hel ~ ., env2)) # Observe the shortcut formula
Call: rda(formula = spe.hel ~ pH.peat + log.ash.perc + Ca_peat +
Mg_peat + Na_peat + K_peat + Acidity.peat + CEC.peat + Base.sat.perc +
P.peat + Waterlev.max + Waterlev.av + Waterlev.min + log.peat.lev +
log.slope.deg + pH.water + log.cond.water + log.Ca.water, data = env2)

              Inertia Proportion Rank
Total          0.4979     1.0000     
Constrained    0.4979     1.0000   62
Unconstrained  0.0000     0.0000    0
Inertia is variance 
Some constraints or conditions were aliased because they were redundant

Eigenvalues for constrained axes:
   RDA1    RDA2    RDA3    RDA4    RDA5    RDA6    RDA7    RDA8    RDA9   RDA10 
0.14355 0.04618 0.02933 0.01988 0.01582 0.01394 0.01356 0.01179 0.01159 0.01116 
  RDA11   RDA12   RDA13   RDA14   RDA15   RDA16   RDA17   RDA18   RDA19   RDA20 
0.01004 0.00954 0.00904 0.00842 0.00830 0.00781 0.00723 0.00684 0.00666 0.00640 
  RDA21   RDA22   RDA23   RDA24   RDA25   RDA26   RDA27   RDA28   RDA29   RDA30 
0.00625 0.00586 0.00550 0.00509 0.00486 0.00474 0.00441 0.00414 0.00407 0.00374 
  RDA31   RDA32   RDA33   RDA34   RDA35   RDA36   RDA37   RDA38   RDA39   RDA40 
0.00357 0.00342 0.00332 0.00304 0.00282 0.00260 0.00255 0.00252 0.00236 0.00228 
  RDA41   RDA42   RDA43   RDA44   RDA45   RDA46   RDA47   RDA48   RDA49   RDA50 
0.00210 0.00196 0.00187 0.00175 0.00169 0.00150 0.00143 0.00136 0.00128 0.00116 
  RDA51   RDA52   RDA53   RDA54   RDA55   RDA56   RDA57   RDA58   RDA59   RDA60 
0.00112 0.00104 0.00096 0.00083 0.00075 0.00068 0.00064 0.00048 0.00040 0.00032 
  RDA61   RDA62 
0.00024 0.00019 
summary(spe.rda) # Skalierung 2 (default)
# Canonical coefficients from the rda object
coef(spe.rda)
                          RDA1         RDA2         RDA3          RDA4
pH.peat           -0.005205969 -0.010515692 -0.001148321  -0.028625694
log.ash.perc       0.006402491  0.013020798  0.001768988   0.030508723
Ca_peat            0.001881535  0.002669639  0.001046828   0.009458922
Mg_peat0,62        0.034522788 -0.708439214 -0.181355884  -1.047562966
Mg_peat0,66       -0.140007487 -0.676936509 -0.085673426  -1.659491830
Mg_peat0,7        -0.318824076 -1.242264883 -0.353679972  -3.653234179
Mg_peat0,74        0.067466805  0.207572432 -0.078318578   0.576493613
Mg_peat0,78       -0.450473593 -1.403768061 -0.329161476  -4.156829502
Mg_peat0,82       -0.290350635 -1.350429037 -0.014098752  -3.550373699
Mg_peat0,86       -0.943098366 -2.520543766 -0.412035326  -6.650749059
Mg_peat0,91       -1.275174143 -3.155383255 -0.640010813  -7.827381487
Mg_peat0,99       -0.508797744 -1.160564802 -0.200903343  -3.362733075
Mg_peat1,04        0.944206048  2.573875075 -0.023656362   5.702002524
Mg_peat1,08       -0.286494566 -0.546009166 -0.263918057  -1.475924746
Mg_peat1,17       -3.423589989 -9.136751012 -0.883777059 -22.483206656
Mg_peat1,25       -0.739426212 -1.725915334 -0.191052554  -4.432328899
Mg_peat1,34       -0.902857673 -2.186832950 -0.425350779  -5.559562808
Mg_peat1,38       -0.951893556 -2.374176148 -0.241034074  -4.270133802
Mg_peat1,42        0.502228586  2.681994137  0.108348581   4.548489321
Mg_peat1,69        0.355232836  2.169533007  0.198146563   3.972143032
Na_peat0,17        0.002845624  0.273026212 -0.131095417   0.444631572
Na_peat0,22        0.548060639  1.691203425 -0.009666671   4.582147216
Na_peat0,26        0.616432212  1.908064401 -0.033665838   4.951163969
Na_peat0,3         0.031926384  0.453000243 -0.038842840   1.012142625
Na_peat0,35       -0.289166099 -0.903536402 -0.114973059  -2.054875718
Na_peat0,39                 NA           NA           NA            NA
Na_peat0,48                 NA           NA           NA            NA
Na_peat0,57                 NA           NA           NA            NA
K_peat0,17         0.852940380  1.913226688  0.506187456   3.893848639
K_peat0,19         0.982782166  1.983975427  0.582534362   4.171411739
K_peat0,22         0.903590978  1.840869316  0.480665902   3.653648680
K_peat0,25         1.809589127  4.241003753  0.860468334  10.399872268
K_peat0,28         1.349343503  3.092033394  0.619761472   7.019828229
K_peat0,3          1.859923007  4.302998754  0.904752820   9.852570794
K_peat0,33         0.910009231  2.145789441  0.430764591   4.323031114
K_peat0,36         1.540229084  3.843088705  0.808885838   9.293126428
K_peat0,39         0.624136390  1.936031734  0.253421468   4.018117113
K_peat0,42         2.417325916  6.559859033  0.902724957  15.557061154
K_peat0,47         2.386507996  5.308718486  0.555921970  11.728837400
K_peat0,5          0.906682855  2.381024453  0.596810407   4.713867303
K_peat0,52         1.070088946  2.675307422  0.614084037   5.639439855
K_peat0,55         2.122000893  5.019835967  0.995761146  12.333439172
K_peat0,6          1.203936871  3.466590608  0.135311983   7.046592627
K_peat0,63         2.164387986  4.793907599  0.620667567  10.854741953
K_peat0,65         0.363094907  1.069524152  0.945444860   2.820779111
K_peat0,7          2.381453186  5.321483102  0.675016893  12.562613308
K_peat0,76         4.680076842 12.111983062  1.213141010  29.243447865
K_peat0,91         1.786758261  5.010092082  0.319119864  11.140371761
K_peat0,99         3.213326660  9.880605472  1.272553912  23.718900853
K_peat1,58                  NA           NA           NA            NA
K_peat2,36                  NA           NA           NA            NA
Acidity.peat      -0.011419969 -0.197904960  0.104433084  -0.220862307
CEC.peat          -0.042991399 -0.004029695 -0.066109224  -0.200750139
Base.sat.perc      0.013918991 -0.042698989  0.031616527  -0.037022714
P.peat             0.334239711  0.725137888 -0.013197008   1.824788608
Waterlev.max      -0.302426406 -0.526286529 -0.019734202  -1.125630513
Waterlev.av        0.165088312  0.309796230 -0.012274476   0.657634812
Waterlev.min      -0.028124635 -0.052610500  0.007974366  -0.094564148
log.peat.lev0,17   0.347274714  0.726142160  0.044536911   1.621972439
log.peat.lev0,3    0.403567108  0.613503639  0.198422947   1.983880127
log.peat.lev0,39   0.554433160  1.220890580  0.151548223   3.347877961
log.peat.lev0,47   0.462869794  1.043699388  0.165369875   2.761458889
log.peat.lev0,54   1.370110154  3.155642387  0.369506254   7.120645386
log.peat.lev0,6    0.085821868  0.417430165 -0.047066183   1.019246391
log.peat.lev0,65   0.765993312  2.045346289  0.029442265   5.119094889
log.peat.lev0,69  -1.949732675 -3.553715170 -0.402523907  -7.655171079
log.peat.lev0,77            NA           NA           NA            NA
log.peat.lev0,81            NA           NA           NA            NA
log.peat.lev1,02            NA           NA           NA            NA
log.slope.deg0,3            NA           NA           NA            NA
log.slope.deg0,47           NA           NA           NA            NA
log.slope.deg0,6   1.419507884  3.289209919  0.430620398   7.362637971
log.slope.deg0,69           NA           NA           NA            NA
log.slope.deg0,77           NA           NA           NA            NA
log.slope.deg0,84           NA           NA           NA            NA
log.slope.deg0,9            NA           NA           NA            NA
log.slope.deg0,95           NA           NA           NA            NA
log.slope.deg1              NA           NA           NA            NA
log.slope.deg1,04           NA           NA           NA            NA
log.slope.deg1,07           NA           NA           NA            NA
log.slope.deg1,14           NA           NA           NA            NA
log.slope.deg1,17           NA           NA           NA            NA
log.slope.deg1,2            NA           NA           NA            NA
log.slope.deg1,32           NA           NA           NA            NA
log.slope.deg1,39           NA           NA           NA            NA
log.slope.deg1,43           NA           NA           NA            NA
log.slope.deg1,44           NA           NA           NA            NA
log.slope.deg1,47           NA           NA           NA            NA
pH.water                    NA           NA           NA            NA
log.cond.water              NA           NA           NA            NA
log.Ca.water                NA           NA           NA            NA
                          RDA5          RDA6         RDA7         RDA8
pH.peat             0.01245659 -0.0024631609 -0.008219756  -0.02841694
log.ash.perc       -0.01655081  0.0001315928  0.006907162   0.03252696
Ca_peat            -0.00503168  0.0002997410  0.002153675   0.01048973
Mg_peat0,62        -0.50060503  0.2801139783 -0.102355722  -0.63710889
Mg_peat0,66         0.61065578  0.3962579523 -0.223662233  -1.57673878
Mg_peat0,7          1.49584302  1.0411487301 -0.361627308  -3.77258895
Mg_peat0,74        -0.33071879  0.6323527102  0.648617405   0.48672717
Mg_peat0,78         1.57312155  1.2140776020 -0.392617851  -3.62560675
Mg_peat0,82         1.78370245  0.5409210880 -0.950060064  -3.87270702
Mg_peat0,86         3.36404643  0.6018113995 -1.370387115  -6.91503926
Mg_peat0,91         3.95595623  0.4240679243 -2.175639993  -8.42167964
Mg_peat0,99         1.60101263  0.4902086701 -0.975020963  -3.72543690
Mg_peat1,04        -3.24628510  0.2703919477  2.598058459   6.39068316
Mg_peat1,08         0.93266419  0.6304047453  0.024921682  -1.71835471
Mg_peat1,17        12.39527565  0.1545467711 -6.700557694 -24.04759475
Mg_peat1,25         2.68275204  0.3504023709 -1.300527532  -4.99087405
Mg_peat1,34         3.33248930  0.2015948902 -1.959144646  -6.65961618
Mg_peat1,38         2.13186986  0.1428822236 -0.809653646  -4.95777599
Mg_peat1,42        -2.59854732  0.0640360354  0.385224518   3.41940988
Mg_peat1,69        -2.38745961 -0.0459850892  0.772635452   2.55107208
Na_peat0,17        -0.21744484  0.2349544787  0.613225733   0.92904290
Na_peat0,22        -2.32591968 -0.0799808502  1.765633364   5.00877286
Na_peat0,26        -2.62632773 -0.0610286606  2.140554551   5.77171738
Na_peat0,3         -0.68951782 -0.1815720418  1.015835281   1.79388447
Na_peat0,35         1.06668276 -0.4549410962 -0.180708558  -1.74107587
Na_peat0,39                 NA            NA           NA           NA
Na_peat0,48                 NA            NA           NA           NA
Na_peat0,57                 NA            NA           NA           NA
K_peat0,17         -1.89307769  0.6234944686  1.001723312   3.56225415
K_peat0,19         -2.20157117  0.1348523304  0.526342122   3.43352159
K_peat0,22         -2.15195585  0.2667307278  0.647825969   3.07180496
K_peat0,25         -5.21598407 -0.0868359326  2.401230150   9.87938191
K_peat0,28         -3.66361396  0.1723816134  1.485615768   6.44403262
K_peat0,3          -5.46683274  0.3285457800  2.061364511   9.72594840
K_peat0,33         -2.09765513  0.0360666378  0.835434386   3.70356078
K_peat0,36         -4.94054803  0.0475464865  2.855603494   9.23765007
K_peat0,39         -2.22072285  0.2879773655  0.826021093   3.62731166
K_peat0,42         -8.32530963  0.5004052674  4.588640226  15.83060527
K_peat0,47         -6.46732083  0.3176640801  2.118642872  11.48572773
K_peat0,5          -2.27342342 -0.0806151056  0.421075402   3.95985747
K_peat0,52         -2.78914641  0.1305683718  1.230981366   5.02626702
K_peat0,55         -5.92138617 -0.6679710834  2.358016945  11.50716188
K_peat0,6          -4.06395167  0.4041158981  1.765456373   6.96295489
K_peat0,63         -6.58869273  0.6437760404  1.656329706  10.01613737
K_peat0,65         -1.16100937 -0.5601528635  0.226807079   1.45917466
K_peat0,7          -6.96134285  0.1280571662  3.015300136  11.98584671
K_peat0,76        -15.55007638  0.0512612055  7.556280398  29.82740438
K_peat0,91         -6.27855014 -0.1206043903  2.256066362  10.56821955
K_peat0,99        -11.80266926 -0.7045934271  5.253004870  22.88096759
K_peat1,58                  NA            NA           NA           NA
K_peat2,36                  NA            NA           NA           NA
Acidity.peat        0.15698114 -0.1491511205 -0.176410183  -0.34934036
CEC.peat            0.08041381  0.1058549388  0.032721131  -0.12735617
Base.sat.perc       0.02702085 -0.0424611949 -0.056212204  -0.07956590
P.peat             -1.01574093  0.1260506285  0.463162278   1.97669046
Waterlev.max        0.86675373 -0.2339820846 -0.490758684  -1.36407219
Waterlev.av        -0.52954729  0.1590922000  0.337476500   0.80180424
Waterlev.min        0.07669422 -0.0292011719 -0.042211107  -0.10568228
log.peat.lev0,17   -0.71563733  0.1760425026 -0.907365549   1.15245916
log.peat.lev0,3    -0.98945592  0.2384293585 -0.575027449   1.41989468
log.peat.lev0,39   -1.82615363  0.4122888444 -0.133005073   3.00393161
log.peat.lev0,47   -1.53520547  0.2770755383 -0.408413183   2.33476874
log.peat.lev0,54   -3.82882752  0.5459452381  0.638283495   6.78685968
log.peat.lev0,6    -0.54943332  0.5960942947 -0.665854276   0.60434798
log.peat.lev0,65   -2.68072110  0.2255769038  0.025208119   4.55339664
log.peat.lev0,69    5.02097224  0.1425075357 -2.483463835  -8.91389014
log.peat.lev0,77            NA            NA           NA           NA
log.peat.lev0,81            NA            NA           NA           NA
log.peat.lev1,02            NA            NA           NA           NA
log.slope.deg0,3            NA            NA           NA           NA
log.slope.deg0,47           NA            NA           NA           NA
log.slope.deg0,6   -4.31314431 -0.2501128078  1.860599822   8.01288901
log.slope.deg0,69           NA            NA           NA           NA
log.slope.deg0,77           NA            NA           NA           NA
log.slope.deg0,84           NA            NA           NA           NA
log.slope.deg0,9            NA            NA           NA           NA
log.slope.deg0,95           NA            NA           NA           NA
log.slope.deg1              NA            NA           NA           NA
log.slope.deg1,04           NA            NA           NA           NA
log.slope.deg1,07           NA            NA           NA           NA
log.slope.deg1,14           NA            NA           NA           NA
log.slope.deg1,17           NA            NA           NA           NA
log.slope.deg1,2            NA            NA           NA           NA
log.slope.deg1,32           NA            NA           NA           NA
log.slope.deg1,39           NA            NA           NA           NA
log.slope.deg1,43           NA            NA           NA           NA
log.slope.deg1,44           NA            NA           NA           NA
log.slope.deg1,47           NA            NA           NA           NA
pH.water                    NA            NA           NA           NA
log.cond.water              NA            NA           NA           NA
log.Ca.water                NA            NA           NA           NA
                           RDA9         RDA10         RDA11        RDA12
pH.peat            1.192843e-02   0.008751398  0.0013662454 -0.002184124
log.ash.perc      -1.576201e-02  -0.011712656 -0.0017712585  0.007345778
Ca_peat           -3.553237e-03  -0.004324339 -0.0006795045  0.002457141
Mg_peat0,62        7.713093e-01   0.682879877 -0.4082646273  0.745496708
Mg_peat0,66        1.351580e+00   0.733640829 -0.0613110129 -0.145159383
Mg_peat0,7         2.961905e+00   0.929849665  0.4160965871 -0.276609597
Mg_peat0,74        5.290623e-02  -0.147603168 -0.3018465470 -0.001876694
Mg_peat0,78        2.098795e+00   1.872823206  0.2280131727 -1.038761980
Mg_peat0,82        3.188431e+00   1.372269234 -0.2993841285 -0.035157308
Mg_peat0,86        4.593516e+00   2.482635964  0.1023016311 -0.846344189
Mg_peat0,91        5.269288e+00   3.223269998  0.0461658653 -1.555394339
Mg_peat0,99        2.371074e+00   1.378952036  0.2262709635 -0.439255120
Mg_peat1,04       -3.775486e+00  -2.170571978 -0.5942971856  0.938101254
Mg_peat1,08        2.778168e-01   0.730406987 -0.1560289156 -1.028886851
Mg_peat1,17        1.609910e+01   8.004655936 -0.1142799175 -2.602166224
Mg_peat1,25        2.638563e+00   1.444074812 -0.1565378141 -1.214083895
Mg_peat1,34        3.779768e+00   2.355972096  0.2642132184 -1.010342568
Mg_peat1,38        3.722500e+00   1.372723012 -1.1391110245 -0.241266138
Mg_peat1,42       -3.904009e+00  -1.799924395  2.8803020585  0.289033370
Mg_peat1,69       -3.777517e+00  -1.615983854  2.0846629276  0.657943480
Na_peat0,17       -8.059843e-01  -0.077597559  0.1207965750 -0.147344637
Na_peat0,22       -3.312731e+00  -1.600941672 -0.2003744879  0.683325104
Na_peat0,26       -3.717579e+00  -1.684356068 -0.0236919229  0.757117927
Na_peat0,3        -1.577684e+00  -0.105256458  0.4185981188 -0.052989489
Na_peat0,35        1.389343e+00   1.087509601 -0.3247725208  0.046371354
Na_peat0,39                  NA            NA            NA           NA
Na_peat0,48                  NA            NA            NA           NA
Na_peat0,57                  NA            NA            NA           NA
K_peat0,17        -1.574835e+00  -1.900252756 -0.0974093409  0.190021198
K_peat0,19        -1.930734e+00  -1.911363209  0.1381600736  1.007110148
K_peat0,22        -1.343824e+00  -1.631066983  0.1604614910  0.814057661
K_peat0,25        -5.529470e+00  -4.367497941 -0.5235269022  1.945006361
K_peat0,28        -3.598871e+00  -3.068839113 -0.1979579234  1.154285853
K_peat0,3         -6.330291e+00  -3.936305527  0.0542553017  1.294357543
K_peat0,33        -2.221730e+00  -1.957675755  0.3553823140  0.724393677
K_peat0,36        -5.361817e+00  -4.160948664 -0.6628154337  1.545390065
K_peat0,39        -2.713975e+00  -1.729073527  0.7024780404 -0.087535019
K_peat0,42        -1.025955e+01  -6.126528503  0.1680971181  1.907551782
K_peat0,47        -6.702647e+00  -4.625135320  0.2041314028  2.067599239
K_peat0,5         -2.897140e+00  -1.956428590  0.5191698227  0.351254452
K_peat0,52        -3.176237e+00  -2.428657551  0.0498875657  0.962259918
K_peat0,55        -6.546897e+00  -5.572245327 -0.1071035233  2.432133651
K_peat0,6         -4.801306e+00  -3.171618074  0.8824981183  0.692265098
K_peat0,63        -6.423607e+00  -3.871091473  0.7557214334  2.122960024
K_peat0,65        -4.900405e-01  -1.276119087  0.4691545386  1.334281011
K_peat0,7         -6.347308e+00  -4.794709266 -0.5186610187  3.148183706
K_peat0,76        -1.968887e+01 -10.991622726 -0.2711259500  3.754388839
K_peat0,91        -7.440413e+00  -4.790569273  0.9524275012  1.766905300
K_peat0,99        -1.614219e+01  -9.007597338  1.2843640715  2.008540797
K_peat1,58                   NA            NA            NA           NA
K_peat2,36                   NA            NA            NA           NA
Acidity.peat       3.524264e-01   0.111416836 -0.1101860740  0.196710656
CEC.peat           9.674701e-04   0.054790251  0.0595351436 -0.196162807
Base.sat.perc      9.101904e-02   0.024220983 -0.0281619321  0.072663297
P.peat            -1.130472e+00  -0.674888015 -0.1056476063  0.302646313
Waterlev.max       8.156100e-01   0.406283568  0.0404742965 -0.382163395
Waterlev.av       -5.387702e-01  -0.223983675 -0.0186801606  0.204775867
Waterlev.min       7.170156e-02   0.030588283 -0.0033125157 -0.046820579
log.peat.lev0,17  -1.543880e+00  -0.322499554  0.8221760185  0.069044938
log.peat.lev0,3   -1.008136e+00  -0.507606845  0.4538628291  0.686996547
log.peat.lev0,39  -2.552668e+00  -1.150232345  0.4571929091  0.362886833
log.peat.lev0,47  -2.033459e+00  -0.814495641  0.5656401791  0.352768413
log.peat.lev0,54  -4.761777e+00  -2.697524927  0.7446260455  1.164750048
log.peat.lev0,6   -1.322485e+00  -0.298606646  0.7502648039 -0.235406379
log.peat.lev0,65  -3.817446e+00  -1.743391764  0.5924446496  0.573797644
log.peat.lev0,69   4.124529e+00   2.375046941  1.0197790057 -1.811560881
log.peat.lev0,77             NA            NA            NA           NA
log.peat.lev0,81             NA            NA            NA           NA
log.peat.lev1,02             NA            NA            NA           NA
log.slope.deg0,3             NA            NA            NA           NA
log.slope.deg0,47            NA            NA            NA           NA
log.slope.deg0,6  -5.159090e+00  -2.412591769  0.2407071825  0.775861615
log.slope.deg0,69            NA            NA            NA           NA
log.slope.deg0,77            NA            NA            NA           NA
log.slope.deg0,84            NA            NA            NA           NA
log.slope.deg0,9             NA            NA            NA           NA
log.slope.deg0,95            NA            NA            NA           NA
log.slope.deg1               NA            NA            NA           NA
log.slope.deg1,04            NA            NA            NA           NA
log.slope.deg1,07            NA            NA            NA           NA
log.slope.deg1,14            NA            NA            NA           NA
log.slope.deg1,17            NA            NA            NA           NA
log.slope.deg1,2             NA            NA            NA           NA
log.slope.deg1,32            NA            NA            NA           NA
log.slope.deg1,39            NA            NA            NA           NA
log.slope.deg1,43            NA            NA            NA           NA
log.slope.deg1,44            NA            NA            NA           NA
log.slope.deg1,47            NA            NA            NA           NA
pH.water                     NA            NA            NA           NA
log.cond.water               NA            NA            NA           NA
log.Ca.water                 NA            NA            NA           NA
                         RDA13         RDA14         RDA15        RDA16
pH.peat           -0.009189807   0.018165772 -0.0020394978 -0.007567228
log.ash.perc       0.013770354  -0.018499844  0.0069732200  0.010766293
Ca_peat            0.005404887  -0.006362533  0.0005606031  0.002794964
Mg_peat0,62        0.195206019   0.037616440  0.2745966390  0.548870003
Mg_peat0,66       -0.906984366   0.626624204 -0.1748494062 -0.126344030
Mg_peat0,7        -0.679771301   2.054115638  0.3955053606 -0.882004633
Mg_peat0,74       -0.519204331  -0.291903181  0.1081403089 -0.254350515
Mg_peat0,78       -2.636951913   1.778499545 -0.0614504266 -0.469652228
Mg_peat0,82       -1.242564071   1.859050373 -0.1821890509 -0.594858414
Mg_peat0,86       -2.839561257   3.602185891 -0.8796480188 -1.742028398
Mg_peat0,91       -4.241884643   4.242746488 -1.4548132774 -1.815643789
Mg_peat0,99       -1.635908478   1.820926130 -0.1827295062 -0.836960716
Mg_peat1,04        1.747757940  -3.861680212  1.5779558818  0.932943895
Mg_peat1,08       -1.039231163   0.280175150 -0.1028300350 -0.648812974
Mg_peat1,17       -8.880544102  12.357381441 -4.4973673184 -5.990579860
Mg_peat1,25       -2.011470383   2.162185858 -0.9896611581 -1.276945012
Mg_peat1,34       -2.848669384   2.689335707 -1.2604894796 -0.947877497
Mg_peat1,38       -1.557176837   2.591839711 -0.8649570262 -1.888667003
Mg_peat1,42        2.297039999  -2.380393222  0.8611395767 -0.068644437
Mg_peat1,69        0.976316410  -2.132671816  0.7125877975  0.014360799
Na_peat0,17        0.226990885  -0.183540133 -0.0757274339 -0.020938235
Na_peat0,22        1.846080109  -2.533424465  0.5586574917  0.781910929
Na_peat0,26        2.274461377  -2.697956277  0.9085778306  0.592888134
Na_peat0,3         0.504478001  -0.586217994  0.1174522295 -0.009198047
Na_peat0,35       -0.305863272   1.071316112 -0.4892564520 -0.118683351
Na_peat0,39                 NA            NA            NA           NA
Na_peat0,48                 NA            NA            NA           NA
Na_peat0,57                 NA            NA            NA           NA
K_peat0,17         0.910440701  -2.180392633  1.1290779057  0.534321079
K_peat0,19         1.945243719  -2.543875977  1.2590538786  1.429728590
K_peat0,22         1.315992006  -2.179149291  1.2211529880  1.075392990
K_peat0,25         4.566919718  -5.716889547  1.8374603511  1.796333764
K_peat0,28         2.561484560  -3.974208609  1.5568129228  1.513281551
K_peat0,3          3.190374092  -6.008885661  2.1577286438  2.795820741
K_peat0,33         1.555758470  -2.319703657  0.9928816928  0.890423010
K_peat0,36         3.735245484  -5.219960822  1.8247951155  1.719059479
K_peat0,39         0.974687264  -2.002117420  0.9036122982  0.406081140
K_peat0,42         5.940126955  -8.552938455  3.3477439734  2.797669647
K_peat0,47         5.175285683  -6.810189770  3.1475248343  3.397072689
K_peat0,5          1.140473101  -2.581268664  0.6643826338  0.950171330
K_peat0,52         2.227273579  -2.735431259  1.0927798320  1.222176407
K_peat0,55         5.028990273  -6.319692105  2.1805212091  1.832225398
K_peat0,6          2.953449429  -3.458343275  1.8886427136  0.828837172
K_peat0,63         2.573378979  -6.606697915  2.3858075942  4.151124102
K_peat0,65         1.514868081  -0.810209043 -0.1855822356 -0.948203745
K_peat0,7          4.954079672  -7.095346100  2.4400571322  3.142246641
K_peat0,76        10.803050169 -16.704002543  5.7966283691  7.149655668
K_peat0,91         4.622070370  -5.917140565  2.4925678765  2.092913521
K_peat0,99         8.593296032 -12.637731257  3.6769290065  4.821673016
K_peat1,58                  NA            NA            NA           NA
K_peat2,36                  NA            NA            NA           NA
Acidity.peat       0.063324439   0.031582704 -0.1780883412  0.005475129
CEC.peat          -0.188663117   0.181335073  0.0413498381 -0.079507748
Base.sat.perc      0.028667746  -0.008522923 -0.0445610216  0.030467382
P.peat             0.595176668  -1.101894892  0.4690537307  0.629167011
Waterlev.max      -0.438671311   0.853917220 -0.4954176837 -0.620646539
Waterlev.av        0.167006786  -0.506181359  0.3031932097  0.362739864
Waterlev.min      -0.032757821   0.073931571 -0.0504350569 -0.061552222
log.peat.lev0,17  -0.028449597  -1.294094883  0.4557298835  1.327580449
log.peat.lev0,3    0.395740730  -1.370596631  0.2587838914  1.283524632
log.peat.lev0,39   0.471632869  -2.358509435  0.4330762231  1.752829976
log.peat.lev0,47   0.323838479  -2.014162892  0.4009491897  1.919465730
log.peat.lev0,54   2.113426417  -4.628285623  1.5952138353  3.141769973
log.peat.lev0,6   -0.952872136  -0.969219146  0.1276834780  1.057102478
log.peat.lev0,65   0.583676736  -3.443350564  0.8201298487  2.557692324
log.peat.lev0,69  -4.996023344   4.566068923 -2.4991384511 -2.503742169
log.peat.lev0,77            NA            NA            NA           NA
log.peat.lev0,81            NA            NA            NA           NA
log.peat.lev1,02            NA            NA            NA           NA
log.slope.deg0,3            NA            NA            NA           NA
log.slope.deg0,47           NA            NA            NA           NA
log.slope.deg0,6   2.761778638  -4.498448001  1.3296090145  2.703115887
log.slope.deg0,69           NA            NA            NA           NA
log.slope.deg0,77           NA            NA            NA           NA
log.slope.deg0,84           NA            NA            NA           NA
log.slope.deg0,9            NA            NA            NA           NA
log.slope.deg0,95           NA            NA            NA           NA
log.slope.deg1              NA            NA            NA           NA
log.slope.deg1,04           NA            NA            NA           NA
log.slope.deg1,07           NA            NA            NA           NA
log.slope.deg1,14           NA            NA            NA           NA
log.slope.deg1,17           NA            NA            NA           NA
log.slope.deg1,2            NA            NA            NA           NA
log.slope.deg1,32           NA            NA            NA           NA
log.slope.deg1,39           NA            NA            NA           NA
log.slope.deg1,43           NA            NA            NA           NA
log.slope.deg1,44           NA            NA            NA           NA
log.slope.deg1,47           NA            NA            NA           NA
pH.water                    NA            NA            NA           NA
log.cond.water              NA            NA            NA           NA
log.Ca.water                NA            NA            NA           NA
                          RDA17         RDA18        RDA19        RDA20
pH.peat            0.0033389286  0.0084478292 -0.008163463 -0.005090497
log.ash.perc       0.0021431832 -0.0051705817  0.009986747  0.006792427
Ca_peat            0.0006278845 -0.0007479248  0.002877876  0.005329009
Mg_peat0,62        1.1535881725  0.7071027390 -0.512500547  0.255830623
Mg_peat0,66        0.1779002354  0.3074354686 -0.314481982 -0.062066051
Mg_peat0,7         0.0222230174  0.2916839619 -0.824137204 -0.532674740
Mg_peat0,74       -0.1384768904 -0.0568467865  0.267809738  0.168831503
Mg_peat0,78        0.0880479318  0.1535406891 -1.194854525 -0.822149146
Mg_peat0,82        0.6371954193  0.7111514055 -1.113805971  0.013639460
Mg_peat0,86        0.1693791962  1.0842929102 -2.130044839 -0.845594362
Mg_peat0,91        0.6618859115  1.7202349757 -2.359580328 -1.025807341
Mg_peat0,99        0.0136323200  0.5132271797 -0.865594547 -0.539137571
Mg_peat1,04       -0.4114619416 -1.0211668198  1.505063963  1.254883070
Mg_peat1,08       -0.0334036422 -0.1356352174 -0.530079407 -0.347601440
Mg_peat1,17        1.7970212894  4.5081057286 -7.201315924 -2.096842108
Mg_peat1,25       -0.1346712369  0.4749285121 -1.493758576 -0.882022575
Mg_peat1,34        0.4810128232  1.2115214442 -1.625932822 -0.298642850
Mg_peat1,38        0.3552175634  1.3483144664 -2.310675107  0.582616652
Mg_peat1,42        0.2443750360 -1.2106418582  2.136721103 -0.719007001
Mg_peat1,69        0.1208673022 -0.7429585802  1.505276150  0.028144305
Na_peat0,17       -0.5211179387 -0.2341655262 -0.022344082  0.070010553
Na_peat0,22       -0.5194746394 -0.7373807888  1.134951930  0.798630192
Na_peat0,26       -0.7205579369 -1.0473195967  1.052596882  0.759368878
Na_peat0,3        -0.6850348794 -0.3753980097  0.139255991 -0.007982264
Na_peat0,35        0.3859259901  0.4726839883 -1.361915513  0.437993770
Na_peat0,39                  NA            NA           NA           NA
Na_peat0,48                  NA            NA           NA           NA
Na_peat0,57                  NA            NA           NA           NA
K_peat0,17        -0.0259527549 -1.2472308650  1.243142241  0.388046693
K_peat0,19         0.3195937479 -1.0870726792  1.548924531  0.139482939
K_peat0,22         0.4798926113 -0.8987983929  1.208993260  0.566022853
K_peat0,25        -0.3603663984 -1.7484732631  3.182597429  1.691209716
K_peat0,28         0.2445847418 -1.4260261089  2.368234610  0.834488094
K_peat0,3          0.1610674910 -2.1191796805  3.555168914  1.110555320
K_peat0,33         0.0203781487 -1.2782223978  1.587418810  0.123071603
K_peat0,36        -0.5064531916 -2.2617698819  2.799117164  1.445921535
K_peat0,39        -0.5118420905 -1.1853678965  1.716123090 -0.503730496
K_peat0,42        -1.4855987660 -3.6939316123  5.190237018  1.058287448
K_peat0,47         0.6960106077 -2.3689712292  3.828233096  1.521665508
K_peat0,5         -0.0951380799 -1.1018256698  2.211283491 -0.191107975
K_peat0,52        -0.2197405210 -1.3602593198  2.102894155  0.441254331
K_peat0,55        -0.0072062523 -2.3623695429  4.237737905  1.479275357
K_peat0,6         -0.3921297295 -1.9650973143  2.491907917 -0.092000058
K_peat0,63         1.0699323653 -1.1814026670  4.349231931  1.370756834
K_peat0,65        -0.7126994358 -0.6356919867  1.252681811  0.312737338
K_peat0,7          0.8758541540 -1.8471687262  3.595583217  2.531062254
K_peat0,76        -1.6795517254 -6.0935242628  9.444509488  2.518621417
K_peat0,91        -0.2441775685 -2.2947198370  3.659349627  0.822471030
K_peat0,99        -1.6768208271 -5.1484711159  9.378330241  1.281446402
K_peat1,58                   NA            NA           NA           NA
K_peat2,36                   NA            NA           NA           NA
Acidity.peat       0.1568024168  0.1648009935 -0.127223396  0.200669987
CEC.peat          -0.0915312664 -0.0571921438 -0.014710248 -0.187827096
Base.sat.perc      0.0589580677  0.0459993117 -0.014192759  0.048873764
P.peat             0.0329776867 -0.2916572324  0.571200179  0.277941928
Waterlev.max      -0.2364023378  0.1396008308 -0.225560306 -0.317671463
Waterlev.av        0.1229810895 -0.0785984396  0.126024754  0.179427810
Waterlev.min      -0.0278133883  0.0050195104 -0.020693640 -0.033756686
log.peat.lev0,17   0.7943401781  0.1074220278  1.023762320  0.129128975
log.peat.lev0,3    1.0730417027  0.4376684012  0.927942857  0.736566166
log.peat.lev0,39   1.0020061295  0.0972654723  1.507659934  0.499944292
log.peat.lev0,47   1.2196187954  0.2356771402  1.412477321  0.287928054
log.peat.lev0,54   1.0803005457 -0.9683125341  3.034898335  0.786290301
log.peat.lev0,6    0.7190176992  0.3167626068  1.038340232 -0.335831256
log.peat.lev0,65   1.0281178351 -0.0284994004  2.267654201  0.476913542
log.peat.lev0,69  -0.0639070087  2.0731341650 -1.341893737 -1.760955623
log.peat.lev0,77             NA            NA           NA           NA
log.peat.lev0,81             NA            NA           NA           NA
log.peat.lev1,02             NA            NA           NA           NA
log.slope.deg0,3             NA            NA           NA           NA
log.slope.deg0,47            NA            NA           NA           NA
log.slope.deg0,6  -0.2130418753 -1.5004886968  2.595916717  0.860210964
log.slope.deg0,69            NA            NA           NA           NA
log.slope.deg0,77            NA            NA           NA           NA
log.slope.deg0,84            NA            NA           NA           NA
log.slope.deg0,9             NA            NA           NA           NA
log.slope.deg0,95            NA            NA           NA           NA
log.slope.deg1               NA            NA           NA           NA
log.slope.deg1,04            NA            NA           NA           NA
log.slope.deg1,07            NA            NA           NA           NA
log.slope.deg1,14            NA            NA           NA           NA
log.slope.deg1,17            NA            NA           NA           NA
log.slope.deg1,2             NA            NA           NA           NA
log.slope.deg1,32            NA            NA           NA           NA
log.slope.deg1,39            NA            NA           NA           NA
log.slope.deg1,43            NA            NA           NA           NA
log.slope.deg1,44            NA            NA           NA           NA
log.slope.deg1,47            NA            NA           NA           NA
pH.water                     NA            NA           NA           NA
log.cond.water               NA            NA           NA           NA
log.Ca.water                 NA            NA           NA           NA
                         RDA21        RDA22        RDA23         RDA24
pH.peat             0.01539053 -0.015751312 -0.008516936  -0.017052533
log.ash.perc       -0.01995034  0.017002207  0.012592955   0.022375617
Ca_peat            -0.00506411  0.006311214  0.003372320   0.008700748
Mg_peat0,62         0.66711549 -0.430289940  0.491407904  -0.092023369
Mg_peat0,66         1.55701230 -0.303367758 -0.371600433  -1.079626024
Mg_peat0,7          2.96529992 -1.488747573 -0.599382464  -2.377988152
Mg_peat0,74        -0.20976629 -0.057767782  0.079888888   0.136091446
Mg_peat0,78         3.07839148 -1.570464980 -1.441853464  -3.501216468
Mg_peat0,82         3.02436775 -1.152184434 -0.906205173  -2.060568873
Mg_peat0,86         5.13881810 -2.699568733 -2.146853558  -4.518885082
Mg_peat0,91         6.84189133 -3.448085361 -2.332888901  -5.921729688
Mg_peat0,99         2.65169339 -1.691409257 -1.117587242  -2.334250363
Mg_peat1,04        -4.58056370  2.415814697  2.239965176   3.727858228
Mg_peat1,08         0.48010809 -0.873716595 -0.439785233  -1.230727580
Mg_peat1,17        17.83779891 -9.585002197 -7.017131115 -14.073327026
Mg_peat1,25         2.56914110 -2.115155030 -1.800421113  -3.060589110
Mg_peat1,34         4.10575931 -2.233913054 -2.067445446  -3.983468815
Mg_peat1,38         3.89057710 -2.278400996 -0.430247442  -2.447261639
Mg_peat1,42        -4.94384144  1.390178745  0.028120646   2.085850741
Mg_peat1,69        -3.45424634  1.729165507  0.131795382   1.558920735
Na_peat0,17        -0.74569603 -0.090430668  0.052950107   0.167432488
Na_peat0,22        -3.61594007  1.472250817  1.668576422   2.890790234
Na_peat0,26        -4.04879642  1.720008527  2.012115381   3.553185907
Na_peat0,3         -1.04923984 -0.001452202  0.579226376   0.738375071
Na_peat0,35         1.45282139 -0.585680279 -0.130470928  -0.905272856
Na_peat0,39                 NA           NA           NA            NA
Na_peat0,48                 NA           NA           NA            NA
Na_peat0,57                 NA           NA           NA            NA
K_peat0,17         -2.91321983  2.012775840  0.693421170   2.067720833
K_peat0,19         -3.31764469  2.463443115  0.845746914   2.628052884
K_peat0,22         -2.62892219  2.145578522  1.013630045   2.232027410
K_peat0,25         -8.37218667  4.460362582  2.956590636   7.204245463
K_peat0,28         -5.38520745  3.206423432  1.930605932   4.423144845
K_peat0,3          -7.64347756  4.475892527  2.722600381   6.011624422
K_peat0,33         -3.61109554  2.207693249  0.850487944   2.541165032
K_peat0,36         -7.83858666  3.983855272  2.408283106   6.107004830
K_peat0,39         -3.17265418  1.400075523  0.353505462   1.493481245
K_peat0,42        -12.57421843  6.078853576  4.027758680   9.512632646
K_peat0,47         -9.07044760  5.904276349  3.662504113   6.825579306
K_peat0,5          -4.12253007  2.154874331  0.135382053   2.160510383
K_peat0,52         -5.00117776  2.563647329  1.044229854   3.544317119
K_peat0,55         -9.43294865  5.276496499  3.830065011   8.130523061
K_peat0,6          -6.67153352  2.675436447  1.396260252   3.847313285
K_peat0,63         -6.22236226  5.165018038  3.643378722   5.720802284
K_peat0,65         -2.57075345  0.858021448 -0.531626232   1.935665198
K_peat0,7          -8.50708689  6.223204282  4.171482853   8.358980807
K_peat0,76        -23.57221725 12.859020113  8.412751083  17.806697096
K_peat0,91         -9.90401479  4.658382834  2.790177761   6.551234768
K_peat0,99        -18.54699940 10.607916006  5.858504187  13.617606743
K_peat1,58                  NA           NA           NA            NA
K_peat2,36                  NA           NA           NA            NA
Acidity.peat        0.16725689  0.061234030  0.013099250   0.094967440
CEC.peat            0.15398272 -0.175728090 -0.133369772  -0.288065913
Base.sat.perc       0.02848336  0.041698812  0.016371513   0.042191761
P.peat             -1.20104047  0.750148740  0.756600569   1.117046384
Waterlev.max        0.88152948 -0.591912008 -0.549578332  -0.847144996
Waterlev.av        -0.46494034  0.338623747  0.305300669   0.459162661
Waterlev.min        0.06374122 -0.056715395 -0.048407120  -0.076947444
log.peat.lev0,17   -0.41087138  0.621547672  0.929833602   0.683259015
log.peat.lev0,3    -0.28264224  0.745198914  1.172801355   1.041321987
log.peat.lev0,39   -1.41413991  1.356683905  1.716793985   1.464107760
log.peat.lev0,47   -0.96005573  1.133972638  1.456480325   1.128700607
log.peat.lev0,54   -4.55009864  3.290347671  2.621258658   3.998391245
log.peat.lev0,6     0.07145343  0.129856976  0.561947219  -0.395779265
log.peat.lev0,65   -2.87081935  2.199612140  1.963992939   2.271287146
log.peat.lev0,69    6.85235725 -4.320441837 -3.422491180  -5.579100674
log.peat.lev0,77            NA           NA           NA            NA
log.peat.lev0,81            NA           NA           NA            NA
log.peat.lev1,02            NA           NA           NA            NA
log.slope.deg0,3            NA           NA           NA            NA
log.slope.deg0,47           NA           NA           NA            NA
log.slope.deg0,6   -5.39779827  3.620510446  2.511013407   4.228541687
log.slope.deg0,69           NA           NA           NA            NA
log.slope.deg0,77           NA           NA           NA            NA
log.slope.deg0,84           NA           NA           NA            NA
log.slope.deg0,9            NA           NA           NA            NA
log.slope.deg0,95           NA           NA           NA            NA
log.slope.deg1              NA           NA           NA            NA
log.slope.deg1,04           NA           NA           NA            NA
log.slope.deg1,07           NA           NA           NA            NA
log.slope.deg1,14           NA           NA           NA            NA
log.slope.deg1,17           NA           NA           NA            NA
log.slope.deg1,2            NA           NA           NA            NA
log.slope.deg1,32           NA           NA           NA            NA
log.slope.deg1,39           NA           NA           NA            NA
log.slope.deg1,43           NA           NA           NA            NA
log.slope.deg1,44           NA           NA           NA            NA
log.slope.deg1,47           NA           NA           NA            NA
pH.water                    NA           NA           NA            NA
log.cond.water              NA           NA           NA            NA
log.Ca.water                NA           NA           NA            NA
                         RDA25        RDA26         RDA27        RDA28
pH.peat           -0.002025396 -0.002893521   0.011372713  0.007273921
log.ash.perc      -0.002126231  0.002863691  -0.018901159 -0.007572939
Ca_peat           -0.001899585  0.002582957  -0.006398538 -0.001636555
Mg_peat0,62        0.008033189  0.466090168  -0.191398316  0.737879039
Mg_peat0,66        0.086811846  0.220224516   1.158179629  0.753291763
Mg_peat0,7         0.400221284 -0.245686243   2.239402794  1.763965269
Mg_peat0,74       -0.151495025 -0.208154484   0.378282081  0.489621925
Mg_peat0,78        0.090237126 -0.639467903   2.765027022  1.307775937
Mg_peat0,82        0.195808327  0.689061044   2.245713028  1.311827479
Mg_peat0,86        0.359654792  0.305247871   4.156001021  2.052847708
Mg_peat0,91        0.430446229  0.813410317   4.880029901  2.243238164
Mg_peat0,99        0.223654372  0.165946456   2.151528169  1.505471640
Mg_peat1,04       -0.526265682 -0.747638851  -2.875180721 -0.958194535
Mg_peat1,08        0.469745400 -0.677445315   1.226161752  0.463847371
Mg_peat1,17        1.530029673  1.803287476  13.290326375  5.277098562
Mg_peat1,25        0.214441132 -0.556037134   2.472274276  1.060870392
Mg_peat1,34        0.431983746  0.853767256   3.351247629  1.533080173
Mg_peat1,38        0.042242051  0.956487984   2.920711623  1.313914877
Mg_peat1,42        0.661879691 -2.358715469  -4.721351684 -0.440724227
Mg_peat1,69        0.404067010 -1.268331247  -3.041021390 -0.065731517
Na_peat0,17       -0.040116187 -0.755537952   0.104746196  0.206185906
Na_peat0,22       -0.442702535 -0.804733888  -2.420465392 -0.793226607
Na_peat0,26       -0.402737538 -0.956085496  -2.833090496 -0.851412107
Na_peat0,3        -0.041021346 -0.957008935  -0.976606356 -0.077002318
Na_peat0,35        0.156188753 -0.123985351   0.935899274  0.233089145
Na_peat0,39                 NA           NA            NA           NA
Na_peat0,48                 NA           NA            NA           NA
Na_peat0,57                 NA           NA            NA           NA
K_peat0,17        -0.066335949  0.119381401  -1.836925576 -0.890898286
K_peat0,19         0.267432435  0.353372576  -2.912303073 -1.377411155
K_peat0,22        -0.150963004  0.631249667  -2.319881845 -0.795090640
K_peat0,25        -0.268518008 -0.019339906  -5.862423757 -2.258393577
K_peat0,28        -0.339787525  0.055082874  -4.174833183 -1.794758067
K_peat0,3         -0.329018813 -0.116506107  -5.982476178 -2.595742396
K_peat0,33         0.060308312 -0.245637938  -2.662432486 -1.246831041
K_peat0,36        -0.332640109 -0.374668471  -5.012267371 -2.098888172
K_peat0,39        -0.030994929 -0.742270665  -2.200873171 -0.539382670
K_peat0,42        -0.699623599 -1.626636819  -8.816750768 -2.608249661
K_peat0,47        -0.575582012 -0.127169447  -7.143841800 -2.605142753
K_peat0,5         -0.182049181 -0.262664129  -2.717689715 -1.132295121
K_peat0,52        -0.183172163 -0.606086979  -3.187973365 -0.945167608
K_peat0,55        -0.364138570  0.333303228  -7.553504124 -2.953308459
K_peat0,6         -0.253804057 -1.491649165  -4.227042095 -0.963654003
K_peat0,63        -0.280952071  1.294422486  -6.591521999 -2.332176954
K_peat0,65        -0.306003173  1.115332186  -2.245418552 -0.235440476
K_peat0,7         -0.787841681  1.504362799  -7.062327245 -2.611426876
K_peat0,76        -1.533396458 -1.785814736 -16.965666771 -6.562337071
K_peat0,91        -0.364555868 -1.361800963  -7.402212335 -2.466179465
K_peat0,99        -1.291318905 -1.899520759 -14.400997233 -5.314566580
K_peat1,58                  NA           NA            NA           NA
K_peat2,36                  NA           NA            NA           NA
Acidity.peat       0.019018200  0.328664062  -0.048536737 -0.049987189
CEC.peat          -0.000162357 -0.202881402   0.268781577  0.107129289
Base.sat.perc      0.008651867  0.103762853  -0.031962450 -0.025773698
P.peat            -0.146831401  0.033318083  -0.973749190 -0.418149428
Waterlev.max       0.048906126 -0.054469308   0.733919860  0.171931875
Waterlev.av       -0.037564302  0.024657289  -0.375907654 -0.067830146
Waterlev.min       0.003010644 -0.014057109   0.061625824  0.010406097
log.peat.lev0,17   0.117038965  0.255083708  -1.553235263 -0.871384703
log.peat.lev0,3   -0.008065691  0.884397256  -1.602151689 -0.691939867
log.peat.lev0,39  -0.185399142  0.376512501  -2.446120726 -1.067883116
log.peat.lev0,47  -0.218399901  0.631407400  -2.100563537 -0.879350305
log.peat.lev0,54  -0.333564223  0.246943391  -4.605061167 -1.996386271
log.peat.lev0,6    0.094901797  0.025267182  -0.606886817 -0.264704439
log.peat.lev0,65  -0.255419676  0.398201786  -3.314545705 -1.824292048
log.peat.lev0,69   0.614286512  0.186000845   4.312235919  1.882782798
log.peat.lev0,77            NA           NA            NA           NA
log.peat.lev0,81            NA           NA            NA           NA
log.peat.lev1,02            NA           NA            NA           NA
log.slope.deg0,3            NA           NA            NA           NA
log.slope.deg0,47           NA           NA            NA           NA
log.slope.deg0,6  -0.534113838 -0.140318891  -4.407131116 -1.961314974
log.slope.deg0,69           NA           NA            NA           NA
log.slope.deg0,77           NA           NA            NA           NA
log.slope.deg0,84           NA           NA            NA           NA
log.slope.deg0,9            NA           NA            NA           NA
log.slope.deg0,95           NA           NA            NA           NA
log.slope.deg1              NA           NA            NA           NA
log.slope.deg1,04           NA           NA            NA           NA
log.slope.deg1,07           NA           NA            NA           NA
log.slope.deg1,14           NA           NA            NA           NA
log.slope.deg1,17           NA           NA            NA           NA
log.slope.deg1,2            NA           NA            NA           NA
log.slope.deg1,32           NA           NA            NA           NA
log.slope.deg1,39           NA           NA            NA           NA
log.slope.deg1,43           NA           NA            NA           NA
log.slope.deg1,44           NA           NA            NA           NA
log.slope.deg1,47           NA           NA            NA           NA
pH.water                    NA           NA            NA           NA
log.cond.water              NA           NA            NA           NA
log.Ca.water                NA           NA            NA           NA
                         RDA29        RDA30         RDA31        RDA32
pH.peat           -0.003761111  0.004486439   0.007279935  0.005471930
log.ash.perc       0.004556447 -0.003854586  -0.014249076 -0.005699665
Ca_peat            0.001937021 -0.001637322  -0.005699584 -0.002808392
Mg_peat0,62        0.389812578 -0.067454786   0.016369421  0.041794348
Mg_peat0,66       -0.287494505 -0.242948945   0.331622654  0.296384977
Mg_peat0,7        -0.085586637 -0.026551865   0.716874844  1.133843204
Mg_peat0,74       -0.104986126 -0.345261904   0.084967886 -0.312693026
Mg_peat0,78       -0.854682754 -0.040816840   1.522020687  0.735075766
Mg_peat0,82       -0.438049884 -0.015665421   0.728890975  1.157333153
Mg_peat0,86       -0.790241732  0.191742567   1.919794068  1.679630961
Mg_peat0,91       -1.201940004  0.381490667   2.543356518  1.962761786
Mg_peat0,99       -0.363307454 -0.062473868   0.905138504  0.873809752
Mg_peat1,04        0.514634114 -0.462631128  -1.951735852 -1.670469904
Mg_peat1,08       -0.078406422 -0.220513112   0.658277702  0.303828771
Mg_peat1,17       -3.138561569  1.830493986   6.824487760  6.325004548
Mg_peat1,25       -0.798494513  0.328610366   1.697985969  1.201178866
Mg_peat1,34       -1.044353616  0.707177702   1.236050763  1.680718715
Mg_peat1,38       -0.276442260  0.302363114   0.825204399  0.712931181
Mg_peat1,42        0.556766366  0.339291500  -2.631031687 -0.931481326
Mg_peat1,69       -0.192105280  0.072533232  -2.416326312 -0.849028092
Na_peat0,17       -0.077747128 -0.042986642   0.148884352 -0.522047302
Na_peat0,22        0.514708038 -0.234296795  -1.240543119 -1.586086015
Na_peat0,26        0.756729218 -0.257695988  -1.573070143 -1.857245178
Na_peat0,3         0.289960473 -0.056455020  -0.067547481 -0.632745324
Na_peat0,35       -0.158314378  0.267240847   0.419389089  0.282163426
Na_peat0,39                 NA           NA            NA           NA
Na_peat0,48                 NA           NA            NA           NA
Na_peat0,57                 NA           NA            NA           NA
K_peat0,17         0.301410836 -0.391367355  -1.352627920 -0.464288870
K_peat0,19         0.564437718  0.138736152  -1.976920825 -0.379744002
K_peat0,22         0.352559539 -0.259415167  -1.839972721 -0.326651867
K_peat0,25         1.168029845 -0.449513683  -3.617112031 -2.275743198
K_peat0,28         0.800984556 -0.271369735  -2.745524258 -1.011535374
K_peat0,3          1.016742764 -0.525623560  -3.673634186 -2.043965232
K_peat0,33         0.451093677 -0.010433186  -1.820414108 -0.633571030
K_peat0,36         0.849695012 -0.868700671  -3.278701643 -2.365968916
K_peat0,39         0.479743612 -0.294062466  -1.121863725 -0.877185254
K_peat0,42         1.839076082 -1.229973006  -4.673352545 -3.871078547
K_peat0,47         1.592680043 -0.212133202  -4.426721516 -2.296548288
K_peat0,5          0.184390075 -0.208489861  -1.535475617 -0.677065945
K_peat0,52         0.683467222 -0.390524274  -1.903574817 -0.770397227
K_peat0,55         2.003106172 -0.458778917  -4.253999046 -2.182643015
K_peat0,6          0.958004401 -0.087481123  -2.469070106 -1.653185555
K_peat0,63         1.109715205 -0.593175898  -4.449591677 -1.772349346
K_peat0,65        -0.096707306 -0.138794033  -1.869582787  0.011523092
K_peat0,7          1.486580294 -0.954972586  -5.289197101 -2.788932042
K_peat0,76         3.379282730 -2.251461669 -10.083446458 -7.514586225
K_peat0,91         1.445037979 -0.107360368  -3.929775034 -2.734520040
K_peat0,99         2.232806535 -1.879941733  -8.332593173 -6.087834011
K_peat1,58                  NA           NA            NA           NA
K_peat2,36                  NA           NA            NA           NA
Acidity.peat      -0.029632481  0.007162358  -0.170408387  0.104175510
CEC.peat          -0.038417018  0.004919169   0.248043307  0.006459949
Base.sat.perc     -0.012514670  0.000407811  -0.061342836  0.032679597
P.peat             0.252911023 -0.128396081  -0.568609012 -0.382671539
Waterlev.max      -0.254118451  0.053828507   0.467141630  0.283497065
Waterlev.av        0.126160555 -0.038208838  -0.248438864 -0.184305986
Waterlev.min      -0.021634842  0.001214152   0.044651644  0.018789206
log.peat.lev0,17   0.131449365  0.076845762  -0.744258080 -0.025590999
log.peat.lev0,3    0.332987820 -0.116317422  -0.984898282 -0.168559691
log.peat.lev0,39   0.080325056 -0.049590747  -1.363951090 -0.654592562
log.peat.lev0,47   0.034158560 -0.209116321  -1.235525375 -0.359718990
log.peat.lev0,54   0.504066018 -0.289435164  -2.843121303 -1.114560506
log.peat.lev0,6   -0.294505192 -0.068526773  -0.343242782  0.080591915
log.peat.lev0,65   0.035120876 -0.138808214  -1.778159686 -0.852454619
log.peat.lev0,69  -1.947324347  0.269953485   2.698366384  1.857427256
log.peat.lev0,77            NA           NA            NA           NA
log.peat.lev0,81            NA           NA            NA           NA
log.peat.lev1,02            NA           NA            NA           NA
log.slope.deg0,3            NA           NA            NA           NA
log.slope.deg0,47           NA           NA            NA           NA
log.slope.deg0,6   1.080777799 -0.858059549  -2.557810720 -1.718401752
log.slope.deg0,69           NA           NA            NA           NA
log.slope.deg0,77           NA           NA            NA           NA
log.slope.deg0,84           NA           NA            NA           NA
log.slope.deg0,9            NA           NA            NA           NA
log.slope.deg0,95           NA           NA            NA           NA
log.slope.deg1              NA           NA            NA           NA
log.slope.deg1,04           NA           NA            NA           NA
log.slope.deg1,07           NA           NA            NA           NA
log.slope.deg1,14           NA           NA            NA           NA
log.slope.deg1,17           NA           NA            NA           NA
log.slope.deg1,2            NA           NA            NA           NA
log.slope.deg1,32           NA           NA            NA           NA
log.slope.deg1,39           NA           NA            NA           NA
log.slope.deg1,43           NA           NA            NA           NA
log.slope.deg1,44           NA           NA            NA           NA
log.slope.deg1,47           NA           NA            NA           NA
pH.water                    NA           NA            NA           NA
log.cond.water              NA           NA            NA           NA
log.Ca.water                NA           NA            NA           NA
                         RDA33         RDA34         RDA35         RDA36
pH.peat           -0.004208848 -0.0016053653  -0.016071748 -0.0003763232
log.ash.perc       0.006223286 -0.0022205925   0.018176255  0.0068063738
Ca_peat            0.001797959 -0.0001989558   0.006379902  0.0035240257
Mg_peat0,62        0.022103938 -0.6278199741   0.052913624  0.4645274942
Mg_peat0,66       -0.378780262 -0.1013738446  -0.572991116 -0.1595334039
Mg_peat0,7         0.126004351  0.1986947774  -1.778681005 -0.6457109720
Mg_peat0,74        0.019903343  0.1843326942   0.239295302  0.0894482282
Mg_peat0,78       -0.622503543 -0.0244201983  -1.709652219 -1.0324947305
Mg_peat0,82       -0.567705485 -0.2223938203  -1.679064608 -0.0728419717
Mg_peat0,86       -0.978679217  0.1918437751  -3.739167195 -0.8907216456
Mg_peat0,91       -1.939544185 -0.3003630384  -3.781255694 -0.9415301436
Mg_peat0,99       -0.716772013 -0.0205317775  -1.855297130 -0.5142412991
Mg_peat1,04        1.001324230  0.1523056768   3.194747532  0.6136845587
Mg_peat1,08        0.089745252  0.1329561767  -0.837274778 -0.2128345874
Mg_peat1,17       -3.573867113 -0.1584702127 -12.112902661 -2.0136970973
Mg_peat1,25       -0.563771669  0.0084580202  -2.242419875 -0.8916381668
Mg_peat1,34       -0.923857284 -0.2963129955  -2.569453858 -0.8417378106
Mg_peat1,38       -0.698716940 -0.7531058795  -2.486602344  0.3879186357
Mg_peat1,42        0.716069530  0.1639476888   3.195595993 -0.0951398243
Mg_peat1,69        0.457651711 -0.2890244783   2.902504137  0.1334854231
Na_peat0,17        0.465464692  0.1590968344   0.135223242 -0.2863136674
Na_peat0,22        1.026258024  0.1328884423   2.446192543  0.5730507846
Na_peat0,26        1.353853573  0.1208693083   2.446053985  0.5736325534
Na_peat0,3         0.573174994  0.3254624178   0.594005105 -0.1699573472
Na_peat0,35       -0.081288608 -0.1489675196  -0.948493527 -0.0510399161
Na_peat0,39                 NA            NA            NA            NA
Na_peat0,48                 NA            NA            NA            NA
Na_peat0,57                 NA            NA            NA            NA
K_peat0,17         0.284653781  0.4314869636   2.038184071  0.6203251413
K_peat0,19         0.409112955 -0.1119639888   2.166699186  0.8190523131
K_peat0,22         0.377643074  0.1016045765   1.997056938  0.8331466370
K_peat0,25         1.658782258  0.1288549808   5.128299100  1.7410317595
K_peat0,28         1.011608516  0.2364730846   3.649056205  1.2473869323
K_peat0,3          1.343830694  0.0326085069   5.811595645  1.3538698455
K_peat0,33         0.567827881  0.1736487868   2.255818553  0.3704952292
K_peat0,36         1.904241912  0.2670374070   4.349452455  1.2107236913
K_peat0,39         0.512139992  0.3699301084   1.868537959 -0.0233036161
K_peat0,42         2.921302913  0.8290862378   7.696971582  1.2805197321
K_peat0,47         1.919319836 -0.2959781465   6.331915399  1.7668430861
K_peat0,5          0.256198333  0.2457416785   2.370399382  0.1927294905
K_peat0,52         1.044546074  0.4957723568   2.669171612  0.4629780966
K_peat0,55         1.566997629  0.3560625271   6.067345918  2.2818587632
K_peat0,6          1.466608891  0.4503053001   3.503017684  0.3678877460
K_peat0,63         0.434535837 -0.7851677205   6.977018062  2.5489754915
K_peat0,65         0.456381068 -0.0240296120   1.448603432  0.1874541890
K_peat0,7          1.606437661 -0.5704554489   6.798674774  2.4635045162
K_peat0,76         4.415523978  0.2921618075  16.081282289  3.1812158752
K_peat0,91         2.020842478  0.3599879086   5.807506256  0.8958216328
K_peat0,99         2.832961641  0.0270682218  13.389111495  2.3397210686
K_peat1,58                  NA            NA            NA            NA
K_peat2,36                  NA            NA            NA            NA
Acidity.peat      -0.021374223 -0.1744691231  -0.057276782  0.1694381834
CEC.peat          -0.035748419  0.1272826327  -0.150165485 -0.1645178928
Base.sat.perc     -0.007036735 -0.0589121876   0.001396446  0.0515547592
P.peat             0.195279829 -0.0467504873   1.001713734  0.3200242475
Waterlev.max      -0.242558268  0.2021928685  -0.739451951 -0.1846465169
Waterlev.av        0.144624154 -0.1288387213   0.421345582  0.0611950089
Waterlev.min      -0.021846609  0.0254125132  -0.061175620 -0.0105476637
log.peat.lev0,17  -0.612711507 -0.7238174044   1.864760102  0.5595867064
log.peat.lev0,3   -0.732029210 -0.7792809845   1.804129399  0.9854266223
log.peat.lev0,39  -0.501905691 -0.5857284701   2.745449632  0.9809968514
log.peat.lev0,47  -0.400299967 -0.6973086304   2.575058914  0.9917635744
log.peat.lev0,54   0.273204741 -0.6382285318   4.784038084  1.4004634627
log.peat.lev0,6   -0.822488307 -0.5089034996   1.429890385  0.3164981893
log.peat.lev0,65  -0.611251672 -0.6956377390   3.877248447  0.9523123945
log.peat.lev0,69  -1.938474146  0.7151405900  -3.753484771 -1.1417493111
log.peat.lev0,77            NA            NA            NA            NA
log.peat.lev0,81            NA            NA            NA            NA
log.peat.lev1,02            NA            NA            NA            NA
log.slope.deg0,3            NA            NA            NA            NA
log.slope.deg0,47           NA            NA            NA            NA
log.slope.deg0,6   0.789404095 -0.4521458260   4.598726140  0.7248303474
log.slope.deg0,69           NA            NA            NA            NA
log.slope.deg0,77           NA            NA            NA            NA
log.slope.deg0,84           NA            NA            NA            NA
log.slope.deg0,9            NA            NA            NA            NA
log.slope.deg0,95           NA            NA            NA            NA
log.slope.deg1              NA            NA            NA            NA
log.slope.deg1,04           NA            NA            NA            NA
log.slope.deg1,07           NA            NA            NA            NA
log.slope.deg1,14           NA            NA            NA            NA
log.slope.deg1,17           NA            NA            NA            NA
log.slope.deg1,2            NA            NA            NA            NA
log.slope.deg1,32           NA            NA            NA            NA
log.slope.deg1,39           NA            NA            NA            NA
log.slope.deg1,43           NA            NA            NA            NA
log.slope.deg1,44           NA            NA            NA            NA
log.slope.deg1,47           NA            NA            NA            NA
pH.water                    NA            NA            NA            NA
log.cond.water              NA            NA            NA            NA
log.Ca.water                NA            NA            NA            NA
                         RDA37         RDA38         RDA39        RDA40
pH.peat           -0.005380828 -0.0031260011 -0.0024712428  0.005367633
log.ash.perc       0.008152607  0.0020792917  0.0044844818 -0.009790200
Ca_peat            0.003274973 -0.0003772038  0.0004111137 -0.003360062
Mg_peat0,62       -0.005805978 -0.2130322601 -0.7162066097 -0.681027118
Mg_peat0,66       -0.632933701 -0.1233873117 -0.7943826517 -0.061953300
Mg_peat0,7        -1.370587910 -0.3187714715 -1.0716221189  0.266806502
Mg_peat0,74       -0.901305879 -0.0800817755  0.3155152960 -0.366278563
Mg_peat0,78       -1.560504962 -0.0529317580 -0.7639617302  0.494659307
Mg_peat0,82       -1.019533383 -0.1902239363 -1.6237917690  0.248469454
Mg_peat0,86       -1.898000816 -0.2197004903 -1.8513579494  1.200686657
Mg_peat0,91       -2.055151398 -0.8293869598 -2.2963851592  1.735793299
Mg_peat0,99       -0.884955260 -0.2848803233 -0.9904575771  0.504550437
Mg_peat1,04        0.103403100  0.3898076029  1.9496180099 -1.255529597
Mg_peat1,08       -0.872326182  0.0908455255 -0.1480647135  0.150102790
Mg_peat1,17       -4.643863428 -1.1984030237 -7.5165506339  5.284692594
Mg_peat1,25       -1.078285088 -0.2514424364 -1.6130850188  0.977840598
Mg_peat1,34       -1.140623337 -0.3650668343 -2.2736500426  1.066824187
Mg_peat1,38       -1.940818758 -0.4087765445 -0.9555463790  0.746044151
Mg_peat1,42        2.418432435 -0.0809230474  0.2979240685 -0.199262689
Mg_peat1,69        1.841620709 -0.2944397909  0.4969525263 -0.304983009
Na_peat0,17       -0.273650406  0.3551778293  0.6386286916 -0.119722567
Na_peat0,22        0.445245115  0.4649110522  1.7637325864 -1.060601768
Na_peat0,26        0.496059475  0.3638652642  2.0233499504 -1.219583410
Na_peat0,3        -0.082432119  0.2007028871  0.5545832107 -0.435516968
Na_peat0,35       -0.357650682  0.3025109901 -0.8208679214  0.250203733
Na_peat0,39                 NA            NA            NA           NA
Na_peat0,48                 NA            NA            NA           NA
Na_peat0,57                 NA            NA            NA           NA
K_peat0,17         0.275304939 -0.0721825483  1.2495367090 -0.674186528
K_peat0,19         1.482808626  0.0977323191  0.4638800727 -1.018165702
K_peat0,22         1.005994395  0.0425431640  0.6331931058 -0.971407372
K_peat0,25         2.061949933  0.3541393856  2.8068483741 -2.117186195
K_peat0,28         1.691550697  0.1348833608  1.7385599541 -1.479661341
K_peat0,3          2.251163605  0.1978652651  2.5784167899 -1.928292305
K_peat0,33         1.331870059  0.0322703766  1.0218251669 -0.710724118
K_peat0,36         1.356451947  0.4444709831  2.9862542208 -1.871459725
K_peat0,39         0.754226402  0.0299037236  1.3598207505 -0.529321181
K_peat0,42         2.487377105  0.6339527087  5.2956768475 -3.579177410
K_peat0,47         3.576005501  0.4457453296  3.2482236439 -2.276774248
K_peat0,5          1.583369624  0.1334492233  0.9841191577 -0.544593632
K_peat0,52         1.162895084  0.4264012916  1.4675254482 -0.864541478
K_peat0,55         2.822069421  0.1427287818  2.7386126849 -2.473771972
K_peat0,6          1.607783339  0.5333391226  2.5533001287 -1.256599004
K_peat0,63         2.818542619 -0.3434629467  2.4179393451 -1.722014199
K_peat0,65         1.450005792 -0.4333959077 -0.0086824478  0.080754151
K_peat0,7          2.659679571  0.6454180652  3.9609710402 -2.526017295
K_peat0,76         6.417994376  1.2646451981  8.7027451766 -6.365069873
K_peat0,91         3.261615923  0.5880124891  3.9153604120 -2.074581786
K_peat0,99         6.243806976  1.3427445920  6.2185871751 -4.133899172
K_peat1,58                  NA            NA            NA           NA
K_peat2,36                  NA            NA            NA           NA
Acidity.peat       0.157371086 -0.0860438524 -0.3059331315  0.037192030
CEC.peat          -0.190812005  0.0556596918  0.1047185474  0.048273418
Base.sat.perc      0.066810932 -0.0234419059 -0.0980281927  0.004898897
P.peat             0.259220281  0.0285585097  0.5651584604 -0.449370401
Waterlev.max      -0.217006767  0.0052633660 -0.4374187920  0.476570019
Waterlev.av        0.073127467 -0.0115663677  0.3335416188 -0.285246559
Waterlev.min      -0.024539758  0.0061112022 -0.0411460862  0.048253354
log.peat.lev0,17   1.324472532 -0.4423770618 -0.3469077958  0.299354888
log.peat.lev0,3    0.968101622 -0.7025694179 -0.2533343956  0.049350186
log.peat.lev0,39   1.251039913 -0.4856877260  0.2533287346 -0.225755029
log.peat.lev0,47   1.450887537 -0.4455345983 -0.1818618080 -0.157036752
log.peat.lev0,54   2.515151834 -0.0881880852  0.9817965756 -1.070429110
log.peat.lev0,6    0.487072016 -0.6174005645 -0.4615644222  0.373185054
log.peat.lev0,65   1.765074232 -0.2085446773  0.7174023996 -0.387899646
log.peat.lev0,69  -2.023295708 -0.7953503187 -3.3021707679  2.587066468
log.peat.lev0,77            NA            NA            NA           NA
log.peat.lev0,81            NA            NA            NA           NA
log.peat.lev1,02            NA            NA            NA           NA
log.slope.deg0,3            NA            NA            NA           NA
log.slope.deg0,47           NA            NA            NA           NA
log.slope.deg0,6   1.861743535  0.3829342566  2.2632862891 -1.921735234
log.slope.deg0,69           NA            NA            NA           NA
log.slope.deg0,77           NA            NA            NA           NA
log.slope.deg0,84           NA            NA            NA           NA
log.slope.deg0,9            NA            NA            NA           NA
log.slope.deg0,95           NA            NA            NA           NA
log.slope.deg1              NA            NA            NA           NA
log.slope.deg1,04           NA            NA            NA           NA
log.slope.deg1,07           NA            NA            NA           NA
log.slope.deg1,14           NA            NA            NA           NA
log.slope.deg1,17           NA            NA            NA           NA
log.slope.deg1,2            NA            NA            NA           NA
log.slope.deg1,32           NA            NA            NA           NA
log.slope.deg1,39           NA            NA            NA           NA
log.slope.deg1,43           NA            NA            NA           NA
log.slope.deg1,44           NA            NA            NA           NA
log.slope.deg1,47           NA            NA            NA           NA
pH.water                    NA            NA            NA           NA
log.cond.water              NA            NA            NA           NA
log.Ca.water                NA            NA            NA           NA
                          RDA41        RDA42        RDA43        RDA44
pH.peat            -0.019204846 -0.006793141 -0.006690612   0.02541111
log.ash.perc        0.025009470  0.015675531  0.006653504  -0.03303631
Ca_peat             0.009451257  0.005978038  0.001444459  -0.01163668
Mg_peat0,62         0.109934908  0.659764726  0.236838022  -0.84934401
Mg_peat0,66        -0.977949682 -0.486556589 -0.401583936   1.13398812
Mg_peat0,7         -2.224179700 -0.938335926 -0.196644460   3.33640372
Mg_peat0,74         0.139363559  0.155944414 -0.156914879  -0.12997346
Mg_peat0,78        -2.948874564 -2.044531230 -0.765886055   3.18750232
Mg_peat0,82        -1.934999830 -1.095524714 -0.526836044   3.16812178
Mg_peat0,86        -4.776881956 -2.652699262 -1.089888845   6.64169367
Mg_peat0,91        -5.684958467 -3.671614622 -1.263198454   7.08058165
Mg_peat0,99        -2.241380764 -1.473649167 -0.422579352   3.46734694
Mg_peat1,04         4.427823423  2.456434347  0.631149609  -5.45163170
Mg_peat1,08        -1.254612051 -0.704059712 -0.520414974   1.12370039
Mg_peat1,17       -15.472295531 -9.936514834 -3.543226043  21.54308290
Mg_peat1,25        -3.521739136 -1.858810461 -0.525694794   4.40779374
Mg_peat1,34        -3.690129293 -2.030992040 -0.466379038   5.19127037
Mg_peat1,38        -2.372088648 -0.830870701 -1.366310994   4.19150121
Mg_peat1,42         2.585824120  1.766229206  1.598485911  -3.49998362
Mg_peat1,69         2.145674038  1.498769378  1.593092597  -3.38536318
Na_peat0,17         0.282082596  0.076626330  0.129336665  -0.40274325
Na_peat0,22         3.195288266  2.090325831  0.681806245  -4.41164763
Na_peat0,26         3.472441542  2.379084306  0.543105162  -4.86345735
Na_peat0,3          0.678469550  0.783616544  0.238076544  -1.27173371
Na_peat0,35        -0.681241715 -0.839971319 -0.332707866   1.32231992
Na_peat0,39                  NA           NA           NA           NA
Na_peat0,48                  NA           NA           NA           NA
Na_peat0,57                  NA           NA           NA           NA
K_peat0,17          2.278006303  1.456463727  0.193083460  -2.84158836
K_peat0,19          2.633303113  2.029631310  0.595201800  -3.71793711
K_peat0,22          2.682694223  1.544883370  0.631986677  -3.45115622
K_peat0,25          7.194422833  4.504989257  1.393982582  -8.90515745
K_peat0,28          4.688831923  2.903023756  1.020616369  -6.19081960
K_peat0,3           6.933704368  3.783383647  1.796900874  -9.58448391
K_peat0,33          2.551836806  1.651555673  0.557446823  -3.49151227
K_peat0,36          6.387738085  3.670542522  0.844636159  -7.79686140
K_peat0,39          1.706339265  1.030021988  0.541698525  -2.91071129
K_peat0,42          9.856719406  6.531855709  2.063831140 -13.32682585
K_peat0,47          8.370450670  4.916328629  1.942459063 -11.33477821
K_peat0,5           2.644040121  0.977349971  0.755798054  -3.55019524
K_peat0,52          3.605434692  2.126295355  1.003508498  -4.34652659
K_peat0,55          8.375985367  5.253894581  1.616113218 -10.50417758
K_peat0,6           3.971377408  2.252680205  1.218176352  -5.43395374
K_peat0,63          8.128131023  3.749135053  1.978403982 -11.12515725
K_peat0,65          1.245281586  1.725355681  0.524966051  -1.07458001
K_peat0,7           9.639648387  5.709283385  1.581858653 -12.07333520
K_peat0,76         20.325790854 12.540514205  4.494812718 -27.22114282
K_peat0,91          7.025776698  4.549718124  1.663400723  -9.82624519
K_peat0,99         14.910977925  8.446383237  4.079942228 -19.88710732
K_peat1,58                   NA           NA           NA           NA
K_peat2,36                   NA           NA           NA           NA
Acidity.peat        0.121989242  0.196051119  0.052084655   0.01345014
CEC.peat           -0.344234041 -0.290698550 -0.096386068   0.33569201
Base.sat.perc       0.064633882  0.072076960  0.031121532  -0.02429697
P.peat              1.356350690  0.746135887  0.259674460  -1.87883494
Waterlev.max       -1.112940189 -0.800954309 -0.279956880   1.65386911
Waterlev.av         0.642012886  0.447741255  0.155808108  -0.96988249
Waterlev.min       -0.105483044 -0.081423153 -0.035265167   0.14841651
log.peat.lev0,17    0.946284396  0.447998933  0.768653677  -2.36280070
log.peat.lev0,3     1.526363221  0.646160789  0.786590790  -2.50111324
log.peat.lev0,39    2.397734778  1.177286750  0.994513065  -4.09673031
log.peat.lev0,47    2.093680877  0.723943941  1.109748142  -3.57650236
log.peat.lev0,54    5.181809938  2.675687303  1.807666768  -7.52511578
log.peat.lev0,6     0.444743592 -0.524875399  0.513623102  -1.02393671
log.peat.lev0,65    3.623201851  1.445756427  1.164835641  -5.62808629
log.peat.lev0,69   -6.523221135 -4.647722057 -1.196689081   8.83015614
log.peat.lev0,77             NA           NA           NA           NA
log.peat.lev0,81             NA           NA           NA           NA
log.peat.lev1,02             NA           NA           NA           NA
log.slope.deg0,3             NA           NA           NA           NA
log.slope.deg0,47            NA           NA           NA           NA
log.slope.deg0,6    5.375019691  3.058243481  1.599618906  -7.83689973
log.slope.deg0,69            NA           NA           NA           NA
log.slope.deg0,77            NA           NA           NA           NA
log.slope.deg0,84            NA           NA           NA           NA
log.slope.deg0,9             NA           NA           NA           NA
log.slope.deg0,95            NA           NA           NA           NA
log.slope.deg1               NA           NA           NA           NA
log.slope.deg1,04            NA           NA           NA           NA
log.slope.deg1,07            NA           NA           NA           NA
log.slope.deg1,14            NA           NA           NA           NA
log.slope.deg1,17            NA           NA           NA           NA
log.slope.deg1,2             NA           NA           NA           NA
log.slope.deg1,32            NA           NA           NA           NA
log.slope.deg1,39            NA           NA           NA           NA
log.slope.deg1,43            NA           NA           NA           NA
log.slope.deg1,44            NA           NA           NA           NA
log.slope.deg1,47            NA           NA           NA           NA
pH.water                     NA           NA           NA           NA
log.cond.water               NA           NA           NA           NA
log.Ca.water                 NA           NA           NA           NA
                         RDA45         RDA46        RDA47        RDA48
pH.peat           -0.008487214 -0.0001441548  0.007392599 -0.004485427
log.ash.perc       0.013322208 -0.0036582345 -0.009627122  0.007332513
Ca_peat            0.005144345 -0.0007917853 -0.002213084  0.003176885
Mg_peat0,62        0.013292673 -0.4133083511  0.378004491 -0.127352121
Mg_peat0,66       -0.285449150 -0.0113419649  0.484164569 -0.414540722
Mg_peat0,7        -1.009615284  0.1180022851  1.574155127 -0.586039908
Mg_peat0,74       -0.214410227 -0.2675241797  0.055505416 -0.296566311
Mg_peat0,78       -2.327299219  0.0216385262  1.427262157 -1.438144053
Mg_peat0,82       -0.122124625  0.4569905626  0.930231324 -0.560790186
Mg_peat0,86       -1.801668930  0.8224678829  2.133669726 -1.663101337
Mg_peat0,91       -2.627832966  1.2935124168  2.404239681 -1.507075350
Mg_peat0,99       -0.730386687  0.2371934519  1.009109565 -0.605399013
Mg_peat1,04        1.771933617 -0.8138605940 -1.900495657  0.154018871
Mg_peat1,08       -1.182133103 -0.1875319389  0.297016956 -0.956915260
Mg_peat1,17       -4.625544229  3.3575430274  5.861164113 -3.707565643
Mg_peat1,25       -1.580565802  0.5701161727  1.072795868 -1.219371202
Mg_peat1,34       -0.929599074  0.7569733526  1.681921104 -0.885335317
Mg_peat1,38       -0.912425109  0.5815328627  1.291614217 -1.313823712
Mg_peat1,42        0.120707357 -0.1448435301 -1.554393220  1.703183232
Mg_peat1,69       -0.130863573 -0.2444909070 -1.448370613  1.415934799
Na_peat0,17       -0.422083960  0.0219374642 -0.108776364 -0.325317619
Na_peat0,22        0.835471326 -0.5719123418 -1.178351449  0.562911780
Na_peat0,26        0.767485186 -0.8131021437 -1.353705847  0.631349373
Na_peat0,3        -0.339555832 -0.3399092843 -0.119179188  0.049726357
Na_peat0,35       -0.144183439  0.2535738674  0.562411663 -0.656245837
Na_peat0,39                 NA            NA           NA           NA
Na_peat0,48                 NA            NA           NA           NA
Na_peat0,57                 NA            NA           NA           NA
K_peat0,17         1.035130623 -0.7030571836 -1.371156912  0.636856087
K_peat0,19         1.700234972 -0.3628662150 -1.396391399  1.114951000
K_peat0,22         1.414430637 -0.5399995677 -1.165182890  1.058033797
K_peat0,25         3.493464453 -1.3657228950 -3.225539096  1.700417037
K_peat0,28         2.115080962 -0.8884904535 -2.196454677  1.593216371
K_peat0,3          2.389787038 -1.8096827525 -3.035616343  2.051684671
K_peat0,33         1.202396727 -0.6594296342 -1.648561105  0.783784490
K_peat0,36         2.643273186 -1.4890046834 -2.731351254  1.476607395
K_peat0,39        -0.044303051 -0.8639460160 -0.819011975  0.784562607
K_peat0,42         3.264679248 -2.5420601620 -4.225765741  2.680594866
K_peat0,47         3.306094374 -1.8372635754 -3.585115201  2.487039794
K_peat0,5          1.055289386 -0.5633524756 -1.618977188  1.142044041
K_peat0,52         1.525766812 -0.7861548535 -1.665338360  0.899715547
K_peat0,55         4.578625941 -1.3784373609 -3.632718513  2.733463615
K_peat0,6          0.781749642 -1.1867421298 -1.991674793  1.278031926
K_peat0,63         3.335616039 -1.4812488173 -2.915205199  3.010681870
K_peat0,65         1.517824953  0.5458696151 -1.629215127  1.665489442
K_peat0,7          4.365949697 -1.5796974451 -3.615311232  3.070629598
K_peat0,76         6.205814182 -4.1773214502 -7.947149520  4.891039816
K_peat0,91         1.959974327 -1.7824574953 -3.407130109  2.294101708
K_peat0,99         4.893025692 -2.0187297131 -6.354804851  4.275450848
K_peat1,58                  NA            NA           NA           NA
K_peat2,36                  NA            NA           NA           NA
Acidity.peat       0.276439188  0.1123078881 -0.071535241  0.123929309
CEC.peat          -0.277857353 -0.0113094623  0.141420705 -0.166804565
Base.sat.perc      0.099384313  0.0254706782 -0.031642764  0.043056165
P.peat             0.518317642 -0.3672572301 -0.432051871  0.302368161
Waterlev.max      -0.301090937  0.3837551869  0.399284340 -0.313241603
Waterlev.av        0.113558291 -0.2419606439 -0.222749700  0.165554712
Waterlev.min      -0.034141164  0.0342958662  0.036858335 -0.039248300
log.peat.lev0,17   0.512285985  0.0839359427 -0.322178746  1.003529012
log.peat.lev0,3    0.967888243  0.1773557272 -0.595533352  1.251625542
log.peat.lev0,39   0.731790663 -0.2724756945 -0.562102733  1.111853392
log.peat.lev0,47   0.699598618 -0.1859975251 -0.360527127  1.118364646
log.peat.lev0,54   1.939098801 -0.8893725227 -2.006109642  1.952285109
log.peat.lev0,6   -0.192982754 -0.0742168839 -0.006473800  0.429627875
log.peat.lev0,65   1.004892211 -0.4845848286 -1.299228299  1.212031201
log.peat.lev0,69  -2.752625154  1.8696908120  2.174164074 -1.322849814
log.peat.lev0,77            NA            NA           NA           NA
log.peat.lev0,81            NA            NA           NA           NA
log.peat.lev1,02            NA            NA           NA           NA
log.slope.deg0,3            NA            NA           NA           NA
log.slope.deg0,47           NA            NA           NA           NA
log.slope.deg0,6   1.537284108 -1.0882821050 -1.625639725  1.185623784
log.slope.deg0,69           NA            NA           NA           NA
log.slope.deg0,77           NA            NA           NA           NA
log.slope.deg0,84           NA            NA           NA           NA
log.slope.deg0,9            NA            NA           NA           NA
log.slope.deg0,95           NA            NA           NA           NA
log.slope.deg1              NA            NA           NA           NA
log.slope.deg1,04           NA            NA           NA           NA
log.slope.deg1,07           NA            NA           NA           NA
log.slope.deg1,14           NA            NA           NA           NA
log.slope.deg1,17           NA            NA           NA           NA
log.slope.deg1,2            NA            NA           NA           NA
log.slope.deg1,32           NA            NA           NA           NA
log.slope.deg1,39           NA            NA           NA           NA
log.slope.deg1,43           NA            NA           NA           NA
log.slope.deg1,44           NA            NA           NA           NA
log.slope.deg1,47           NA            NA           NA           NA
pH.water                    NA            NA           NA           NA
log.cond.water              NA            NA           NA           NA
log.Ca.water                NA            NA           NA           NA
                          RDA49         RDA50        RDA51        RDA52
pH.peat           -0.0052619259  -0.021504327 -0.007451368  -0.02766047
log.ash.perc       0.0030780545   0.020431585  0.008353314   0.03361498
Ca_peat           -0.0002143129   0.007335042  0.002057962   0.01091579
Mg_peat0,62        0.3637099936  -0.258305048 -0.538884227   0.44454743
Mg_peat0,66        0.1395692862  -0.980988653 -0.315791365  -1.23528300
Mg_peat0,7        -0.3185812113  -2.858701143 -0.958559647  -3.38206735
Mg_peat0,74        0.0822520436  -0.449704556  0.079171076   0.25515953
Mg_peat0,78        0.3177385649  -2.356860002 -1.190273387  -3.39095658
Mg_peat0,82       -0.2087155654  -2.247274594 -1.011025373  -3.28383603
Mg_peat0,86       -0.5568861764  -4.460820731 -1.690887852  -6.63249405
Mg_peat0,91       -0.0086669353  -4.802200510 -1.982555486  -7.92700490
Mg_peat0,99       -0.0595209849  -2.190364508 -0.723012117  -3.39725875
Mg_peat1,04        0.7247191560   2.250911878  1.592388671   5.68563019
Mg_peat1,08       -0.2162550943  -0.851179561 -0.623823246  -1.08241232
Mg_peat1,17       -1.0838413230 -13.481089422 -6.317632658 -22.63730564
Mg_peat1,25       -0.5616129846  -2.191709639 -1.159226452  -3.94159351
Mg_peat1,34       -0.0257768157  -2.812167534 -1.190715281  -5.48376879
Mg_peat1,38       -0.2590344306  -4.005322522 -0.812471047  -4.65489422
Mg_peat1,42       -1.0028791080   3.725956686  1.771320911   5.91669801
Mg_peat1,69       -0.4044345641   2.910378455  1.698630467   4.49009401
Na_peat0,17       -0.1410857569  -0.242769104  0.318234575   0.35025736
Na_peat0,22        0.1731147384   1.926459999  1.301191974   4.38234471
Na_peat0,26        0.1611193043   2.118825896  1.411457157   4.91552037
Na_peat0,3         0.0952608598   0.373880772  0.165348644   0.97429989
Na_peat0,35        0.1473095884  -1.522446906 -0.383135379  -1.83659427
Na_peat0,39                  NA            NA           NA           NA
Na_peat0,48                  NA            NA           NA           NA
Na_peat0,57                  NA            NA           NA           NA
K_peat0,17        -0.0549432173   2.019478256  0.713373187   3.50300713
K_peat0,19         0.1038796023   3.069871495  0.815430487   4.47390422
K_peat0,22         0.0408783173   2.198699066  0.884181611   3.77697487
K_peat0,25        -0.2945573160   5.477480306  2.638712995   9.74689469
K_peat0,28        -0.0549651586   4.222560798  1.631964397   6.89371547
K_peat0,3          0.3779722103   6.513026738  2.746780936  10.54475009
K_peat0,33        -0.2925327075   2.728481204  0.817628881   4.29123366
K_peat0,36         0.0198573648   4.893608176  2.223176787   8.86228458
K_peat0,39        -0.3707468295   2.458661300  0.901007480   3.49400652
K_peat0,42        -0.2220041887   8.496798160  3.847019887  15.16197373
K_peat0,47         0.4579493970   7.227449946  3.630972711  12.26175953
K_peat0,5         -0.0645637625   3.126430493  0.973484089   4.55517286
K_peat0,52        -0.2519688013   3.115112954  1.312692376   5.34867348
K_peat0,55        -0.0933836321   7.248298850  2.973259775  11.68192606
K_peat0,6         -0.7035899362   3.504921747  1.648319559   7.08515935
K_peat0,63         1.1698797940   6.961216055  3.376757780  10.87895431
K_peat0,65        -0.7345846588   1.886863974  0.876409156   2.01517285
K_peat0,7          0.8239616655   6.734906688  3.565901544  11.81361520
K_peat0,76         1.1366761356  17.680499027  8.343548259  29.66317658
K_peat0,91        -0.2461594157   6.406684334  3.542700086  11.15072443
K_peat0,99         0.7690242085  15.276668552  6.969721069  23.36628309
K_peat1,58                   NA            NA           NA           NA
K_peat2,36                   NA            NA           NA           NA
Acidity.peat      -0.0402130172   0.136186732 -0.037465981  -0.09742963
CEC.peat           0.0163370427  -0.296511619 -0.077420404  -0.29122555
Base.sat.perc     -0.0060419667   0.078527406  0.002212789   0.01147845
P.peat             0.1910704824   0.989097797  0.525763348   1.82541313
Waterlev.max      -0.0767862100  -0.645082723 -0.430371804  -1.45993430
Waterlev.av        0.0679467350   0.288383144  0.277659250   0.79896323
Waterlev.min      -0.0033229264  -0.043728162 -0.049337513  -0.12040232
log.peat.lev0,17   0.4045824991   2.059142004  0.914999839   2.39276385
log.peat.lev0,3    0.3858492905   1.786321434  0.962348427   2.10666973
log.peat.lev0,39   0.6088993064   2.929497365  1.354041028   3.89064297
log.peat.lev0,47   0.5963983095   2.649009550  1.307258267   3.47615524
log.peat.lev0,54   0.6696327906   5.492468321  2.430950965   8.14295927
log.peat.lev0,6    0.3233768191   1.346037986  0.535339601   1.66749314
log.peat.lev0,65   0.8035809145   4.172177005  2.054522696   5.63361718
log.peat.lev0,69  -0.7794244849  -3.837412175 -2.572888763  -8.00546832
log.peat.lev0,77             NA            NA           NA           NA
log.peat.lev0,81             NA            NA           NA           NA
log.peat.lev1,02             NA            NA           NA           NA
log.slope.deg0,3             NA            NA           NA           NA
log.slope.deg0,47            NA            NA           NA           NA
log.slope.deg0,6   1.0958121339   5.018602267  2.351275274   7.76925617
log.slope.deg0,69            NA            NA           NA           NA
log.slope.deg0,77            NA            NA           NA           NA
log.slope.deg0,84            NA            NA           NA           NA
log.slope.deg0,9             NA            NA           NA           NA
log.slope.deg0,95            NA            NA           NA           NA
log.slope.deg1               NA            NA           NA           NA
log.slope.deg1,04            NA            NA           NA           NA
log.slope.deg1,07            NA            NA           NA           NA
log.slope.deg1,14            NA            NA           NA           NA
log.slope.deg1,17            NA            NA           NA           NA
log.slope.deg1,2             NA            NA           NA           NA
log.slope.deg1,32            NA            NA           NA           NA
log.slope.deg1,39            NA            NA           NA           NA
log.slope.deg1,43            NA            NA           NA           NA
log.slope.deg1,44            NA            NA           NA           NA
log.slope.deg1,47            NA            NA           NA           NA
pH.water                     NA            NA           NA           NA
log.cond.water               NA            NA           NA           NA
log.Ca.water                 NA            NA           NA           NA
                         RDA53         RDA54         RDA55         RDA56
pH.peat            0.009369670   0.015264844  0.0080652261   0.011434843
log.ash.perc      -0.010449637  -0.024919506 -0.0044457404  -0.013969067
Ca_peat           -0.004564220  -0.008804659 -0.0009347043  -0.005723149
Mg_peat0,62        0.407134424  -0.277158074  1.3148982976   0.889550822
Mg_peat0,66        0.519011563   0.940686844  0.6219351621   0.995850432
Mg_peat0,7         1.444133779   1.964240207  1.4298388022   2.360433966
Mg_peat0,74       -0.009257162  -0.213363498 -0.1090349882   0.075048648
Mg_peat0,78        1.879267589   3.113536984  1.1051669221   2.153991928
Mg_peat0,82        0.817405327   2.037110832  1.1567876127   2.202937748
Mg_peat0,86        1.967936957   4.827042138  1.5666669264   3.783793390
Mg_peat0,91        2.140764366   5.665035815  1.7568404606   4.055990755
Mg_peat0,99        1.069644688   2.213862395  1.0250024711   1.830096586
Mg_peat1,04       -1.591826867  -4.411752719 -1.2369866977  -3.650863904
Mg_peat1,08        0.718450333   1.284854963  0.4461207876   0.483013392
Mg_peat1,17        5.759074427  14.432491290  4.7967838941  12.036328966
Mg_peat1,25        1.129967448   3.380095030  1.0244521610   2.222901052
Mg_peat1,34        1.420889845   3.919101929  1.4772008963   3.076201597
Mg_peat1,38        1.767862469   2.291373565  1.4516978773   2.140936571
Mg_peat1,42       -1.667792427  -3.080197242 -0.4627413741  -3.637095827
Mg_peat1,69       -1.496446485  -2.811169863 -0.2766540655  -2.873793122
Na_peat0,17        0.171495264  -0.071714839 -0.2625421452  -0.357977583
Na_peat0,22       -0.994669646  -3.138641324 -0.9705091305  -2.422639837
Na_peat0,26       -0.841679768  -3.573675669 -0.9300737381  -2.945670430
Na_peat0,3         0.331637671  -0.633560545 -0.1801847794  -0.704010856
Na_peat0,35        0.405336326   0.500331029  0.9459711076   1.166491498
Na_peat0,39                 NA            NA            NA            NA
Na_peat0,48                 NA            NA            NA            NA
Na_peat0,57                 NA            NA            NA            NA
K_peat0,17        -1.386227530  -2.778957077 -0.9234916637  -1.836560634
K_peat0,19        -1.805283235  -3.600727793 -0.4984799989  -2.517915761
K_peat0,22        -1.402757328  -2.859651578 -0.8082125050  -1.629650400
K_peat0,25        -3.264605909  -7.509309998 -2.0762330152  -5.034855235
K_peat0,28        -2.427341798  -5.065352067 -1.6069756227  -3.444841130
K_peat0,3         -3.309416853  -7.018652564 -2.0074161939  -5.472737841
K_peat0,33        -1.529387876  -2.969521113 -1.1108991485  -2.309409689
K_peat0,36        -2.783106372  -6.340810634 -2.3229509986  -4.552015906
K_peat0,39        -0.876242999  -2.071215911 -1.3353571157  -2.070762212
K_peat0,42        -3.422313831  -9.787574151 -3.3681486736  -8.161353991
K_peat0,47        -4.116840081  -8.342036956 -2.2016330455  -6.388724587
K_peat0,5         -1.890286691  -2.718571303 -1.4933185207  -2.458010180
K_peat0,52        -1.612282563  -3.778432585 -1.4116744425  -2.627267605
K_peat0,55        -4.428864121  -8.960193975 -2.4985355693  -6.448598053
K_peat0,6         -1.812793055  -4.816087046 -1.7060801289  -4.036788334
K_peat0,63        -4.108227028  -8.059687734 -1.9909519880  -5.482769762
K_peat0,65        -1.239433025  -1.648763860 -0.8726868979  -1.607233338
K_peat0,7         -4.190258076  -9.485787373 -2.4872720101  -6.542116839
K_peat0,76        -8.444591410 -19.173604616 -6.3828257052 -15.794827913
K_peat0,91        -3.572668710  -7.668759790 -2.7510761629  -6.891348572
K_peat0,99        -7.706432344 -14.089992453 -6.1028512925 -12.995769522
K_peat1,58                  NA            NA            NA            NA
K_peat2,36                  NA            NA            NA            NA
Acidity.peat      -0.084133205  -0.118317158  0.2251363827   0.085126547
CEC.peat           0.155585654   0.334659843 -0.0945951177   0.160912885
Base.sat.perc     -0.038815900  -0.062872462  0.0686597506   0.019242678
P.peat            -0.506868860  -1.302685612 -0.3457933593  -0.931070729
Waterlev.max       0.257034593   1.152675084 -0.0734917826   0.572124141
Waterlev.av       -0.125512695  -0.657754155  0.0191774590  -0.315170871
Waterlev.min       0.022268285   0.112400294 -0.0116462610   0.040975100
log.peat.lev0,17  -0.966399298  -1.391644737  0.0315879029  -1.204753835
log.peat.lev0,3   -1.140017817  -1.780801387  0.1592329250  -1.220254271
log.peat.lev0,39  -1.592638966  -2.573885554 -0.3398398830  -1.943532727
log.peat.lev0,47  -1.367824391  -2.047334959 -0.1579609776  -1.568876539
log.peat.lev0,54  -2.931870861  -5.247900914 -1.0418232024  -4.010869327
log.peat.lev0,6   -0.687416149  -0.562009150  0.1766404674  -0.682421550
log.peat.lev0,65  -2.455347026  -3.358952335 -0.7028579078  -2.998648767
log.peat.lev0,69   2.378342649   5.652795550  1.1148027331   4.389606088
log.peat.lev0,77            NA            NA            NA            NA
log.peat.lev0,81            NA            NA            NA            NA
log.peat.lev1,02            NA            NA            NA            NA
log.slope.deg0,3            NA            NA            NA            NA
log.slope.deg0,47           NA            NA            NA            NA
log.slope.deg0,6  -2.490504074  -5.011217399 -1.9026396321  -3.909879415
log.slope.deg0,69           NA            NA            NA            NA
log.slope.deg0,77           NA            NA            NA            NA
log.slope.deg0,84           NA            NA            NA            NA
log.slope.deg0,9            NA            NA            NA            NA
log.slope.deg0,95           NA            NA            NA            NA
log.slope.deg1              NA            NA            NA            NA
log.slope.deg1,04           NA            NA            NA            NA
log.slope.deg1,07           NA            NA            NA            NA
log.slope.deg1,14           NA            NA            NA            NA
log.slope.deg1,17           NA            NA            NA            NA
log.slope.deg1,2            NA            NA            NA            NA
log.slope.deg1,32           NA            NA            NA            NA
log.slope.deg1,39           NA            NA            NA            NA
log.slope.deg1,43           NA            NA            NA            NA
log.slope.deg1,44           NA            NA            NA            NA
log.slope.deg1,47           NA            NA            NA            NA
pH.water                    NA            NA            NA            NA
log.cond.water              NA            NA            NA            NA
log.Ca.water                NA            NA            NA            NA
                         RDA57        RDA58        RDA59        RDA60
pH.peat           -0.002508612  0.006084504 -0.006223269 -0.004873949
log.ash.perc       0.005218570 -0.004821322  0.009009272  0.008472917
Ca_peat            0.001649701 -0.001261242  0.003044933  0.003256445
Mg_peat0,62        0.267258977  1.038171579  0.226077071  0.541735546
Mg_peat0,66       -0.164261200  0.300154375 -0.085497206 -0.426012027
Mg_peat0,7        -0.515519011  0.459066062 -0.595410016 -0.761397239
Mg_peat0,74       -0.167248268  0.209088006 -0.068171137 -0.499337707
Mg_peat0,78       -0.899400384  0.821008230 -1.104449214 -1.964715220
Mg_peat0,82       -0.524747637  0.442450808 -0.329035475 -0.698658646
Mg_peat0,86       -0.987567319  0.876861575 -1.434562815 -1.774743169
Mg_peat0,91       -1.674058895  0.961495595 -1.763558389 -1.620263079
Mg_peat0,99       -0.477989887  0.546372431 -0.260199518 -0.856654866
Mg_peat1,04        1.358287312 -0.248902777  1.048752440  0.631051660
Mg_peat1,08       -0.606675378  0.447963707 -0.248803160 -1.062205330
Mg_peat1,17       -3.969943496  2.074063111 -4.635836201 -4.220397505
Mg_peat1,25       -0.958645361  0.748912623 -0.482760319 -1.280166433
Mg_peat1,34       -0.558216134  0.987056785 -0.621848049 -0.740903705
Mg_peat1,38       -0.150088779  1.106239268 -1.718125463 -0.900196861
Mg_peat1,42        1.300570902  0.766952222  3.435293714  1.256100799
Mg_peat1,69        1.190163920  0.769067175  2.658444286  1.212258497
Na_peat0,17        0.321483412  0.259623292 -0.197791754 -0.216223908
Na_peat0,22        0.949205104 -0.040164227  0.613790571  0.609150042
Na_peat0,26        1.204109133 -0.001691308  0.581558525  0.630378311
Na_peat0,3         0.187555517  0.211020431  0.204537161 -0.100208916
Na_peat0,35        0.069403969  0.408404075 -0.436922695 -0.097512987
Na_peat0,39                 NA           NA           NA           NA
Na_peat0,48                 NA           NA           NA           NA
Na_peat0,57                 NA           NA           NA           NA
K_peat0,17         0.196475168 -0.340881932  1.051153088  0.164421436
K_peat0,19         0.777768997 -0.627216091  1.743159643  0.963623119
K_peat0,22         0.673012144 -0.547902177  1.417311794  0.943358491
K_peat0,25         2.017655774 -0.941917999  2.511185971  2.211596469
K_peat0,28         0.921232287 -0.808226705  2.219141386  1.591815617
K_peat0,3          1.436636727 -0.941687193  3.140295979  2.141792157
K_peat0,33         0.770804019 -0.504577554  1.532240822  0.939537271
K_peat0,36         1.806540142 -0.794237936  2.143970354  1.096170745
K_peat0,39         0.348331214 -0.219692159  1.134519196  0.395647266
K_peat0,42         2.415701680 -1.106129753  3.472081616  2.181280351
K_peat0,47         2.441558674 -1.433280947  3.952599985  2.738199835
K_peat0,5          0.217009573 -0.544666461  2.046758121  0.944739437
K_peat0,52         0.957711373 -0.312686789  1.823388610  0.745352116
K_peat0,55         2.202798933 -1.483395788  3.724844413  3.275277421
K_peat0,6          1.278300488 -0.343237625  2.236913697  0.704634750
K_peat0,63         1.526519344 -0.739497143  3.650146802  3.410270866
K_peat0,65         1.202418657 -0.356069878  1.086819292  0.996599292
K_peat0,7          2.742677908 -1.720639054  3.081678571  3.581991059
K_peat0,76         5.364080979 -2.502179804  6.942068769  5.483673374
K_peat0,91         1.995442569 -0.515592448  3.184232977  2.428016950
K_peat0,99         3.470507909 -2.434504970  6.532846057  5.151964378
K_peat1,58                  NA           NA           NA           NA
K_peat2,36                  NA           NA           NA           NA
Acidity.peat       0.078345449  0.041918056  0.045846863  0.193483751
CEC.peat          -0.125426793 -0.011003235 -0.134948759 -0.216980774
Base.sat.perc      0.028535050  0.010202554  0.031502048  0.072255965
P.peat             0.228736608 -0.173887335  0.412198298  0.394281732
Waterlev.max      -0.382124609 -0.057212865 -0.257385518 -0.247849064
Waterlev.av        0.250181735  0.041194654  0.098235852  0.109062530
Waterlev.min      -0.049276176 -0.010139765 -0.026979382 -0.034742107
log.peat.lev0,17  -0.169202845  0.060544666  1.423245023  1.664708159
log.peat.lev0,3    0.099320927  0.108577371  1.220303074  1.772105829
log.peat.lev0,39   0.049693492  0.046624337  1.414264387  1.677717755
log.peat.lev0,47  -0.076897616  0.071449403  1.649820084  1.685076685
log.peat.lev0,54   0.879501984 -0.501613111  2.800798817  2.537853396
log.peat.lev0,6   -0.392477006  0.363838406  0.755899171  0.706315493
log.peat.lev0,65   0.523778183 -0.069129395  2.112356924  2.004428343
log.peat.lev0,69  -2.660728123  1.053315530 -1.559805641 -1.295495282
log.peat.lev0,77            NA           NA           NA           NA
log.peat.lev0,81            NA           NA           NA           NA
log.peat.lev1,02            NA           NA           NA           NA
log.slope.deg0,3            NA           NA           NA           NA
log.slope.deg0,47           NA           NA           NA           NA
log.slope.deg0,6   1.174603447 -0.994505243  2.048274549  1.672208674
log.slope.deg0,69           NA           NA           NA           NA
log.slope.deg0,77           NA           NA           NA           NA
log.slope.deg0,84           NA           NA           NA           NA
log.slope.deg0,9            NA           NA           NA           NA
log.slope.deg0,95           NA           NA           NA           NA
log.slope.deg1              NA           NA           NA           NA
log.slope.deg1,04           NA           NA           NA           NA
log.slope.deg1,07           NA           NA           NA           NA
log.slope.deg1,14           NA           NA           NA           NA
log.slope.deg1,17           NA           NA           NA           NA
log.slope.deg1,2            NA           NA           NA           NA
log.slope.deg1,32           NA           NA           NA           NA
log.slope.deg1,39           NA           NA           NA           NA
log.slope.deg1,43           NA           NA           NA           NA
log.slope.deg1,44           NA           NA           NA           NA
log.slope.deg1,47           NA           NA           NA           NA
pH.water                    NA           NA           NA           NA
log.cond.water              NA           NA           NA           NA
log.Ca.water                NA           NA           NA           NA
                          RDA61        RDA62
pH.peat            -0.025891710  0.006756789
log.ash.perc        0.029250162 -0.005760947
Ca_peat             0.008020308 -0.001852827
Mg_peat0,62        -0.616254671 -0.089456665
Mg_peat0,66        -0.912572020  0.531198728
Mg_peat0,7         -2.351053897  1.233704161
Mg_peat0,74         0.431481363  0.163515636
Mg_peat0,78        -2.468541995  0.698754450
Mg_peat0,82        -2.696425422  1.263597428
Mg_peat0,86        -5.418361309  1.873445311
Mg_peat0,91        -6.853108092  1.775888065
Mg_peat0,99        -2.504744730  0.987215447
Mg_peat1,04         5.384547085 -0.652682778
Mg_peat1,08        -0.786666692  0.303978483
Mg_peat1,17       -19.346198562  5.157306275
Mg_peat1,25        -3.600881861  1.019835436
Mg_peat1,34        -5.103801380  1.721827328
Mg_peat1,38        -4.849843870  1.642154674
Mg_peat1,42         4.549324392 -1.123572619
Mg_peat1,69         3.342354449 -0.817966713
Na_peat0,17         0.591106011 -0.032510380
Na_peat0,22         3.898218165 -0.880894646
Na_peat0,26         4.512569539 -1.096625785
Na_peat0,3          1.091461931 -0.687767313
Na_peat0,35        -1.499211253  0.644345331
Na_peat0,39                  NA           NA
Na_peat0,48                  NA           NA
Na_peat0,57                  NA           NA
K_peat0,17          3.649272206 -1.077813438
K_peat0,19          4.015239287 -1.519711459
K_peat0,22          3.410890997 -1.071752322
K_peat0,25          8.839038975 -2.102972612
K_peat0,28          6.112573904 -1.812775428
K_peat0,3           8.967071086 -2.843920128
K_peat0,33          3.876962932 -1.304503416
K_peat0,36          8.070884727 -2.116697638
K_peat0,39          3.616802454 -1.666203121
K_peat0,42         13.099983504 -3.840021459
K_peat0,47         10.837029602 -2.541347806
K_peat0,5           4.222242017 -1.480944785
K_peat0,52          4.956495790 -1.536164141
K_peat0,55         10.273157029 -2.601439494
K_peat0,6           6.700752266 -1.583314865
K_peat0,63          8.900591888 -2.408383821
K_peat0,65          1.231062695 -0.695179875
K_peat0,7          10.665238922 -2.211719054
K_peat0,76         25.307245308 -6.300984661
K_peat0,91         10.074691961 -2.279456582
K_peat0,99         19.979888336 -5.302990144
K_peat1,58                   NA           NA
K_peat2,36                   NA           NA
Acidity.peat       -0.341100652  0.094292913
CEC.peat           -0.071775713  0.011217180
Base.sat.perc      -0.069314315  0.022202350
P.peat              1.648642492 -0.418645802
Waterlev.max       -1.159311073  0.221020444
Waterlev.av         0.661570892 -0.117722000
Waterlev.min       -0.093748216  0.008994412
log.peat.lev0,17    1.225569329 -0.665580767
log.peat.lev0,3     1.020670088 -0.414106827
log.peat.lev0,39    2.409611913 -0.925834808
log.peat.lev0,47    2.120788649 -0.781019575
log.peat.lev0,54    6.427217947 -1.492161875
log.peat.lev0,6     0.745992910 -0.600194673
log.peat.lev0,65    3.805692819 -1.291584187
log.peat.lev0,69   -7.724293099  1.055081409
log.peat.lev0,77             NA           NA
log.peat.lev0,81             NA           NA
log.peat.lev1,02             NA           NA
log.slope.deg0,3             NA           NA
log.slope.deg0,47            NA           NA
log.slope.deg0,6    6.949960734 -1.579849772
log.slope.deg0,69            NA           NA
log.slope.deg0,77            NA           NA
log.slope.deg0,84            NA           NA
log.slope.deg0,9             NA           NA
log.slope.deg0,95            NA           NA
log.slope.deg1               NA           NA
log.slope.deg1,04            NA           NA
log.slope.deg1,07            NA           NA
log.slope.deg1,14            NA           NA
log.slope.deg1,17            NA           NA
log.slope.deg1,2             NA           NA
log.slope.deg1,32            NA           NA
log.slope.deg1,39            NA           NA
log.slope.deg1,43            NA           NA
log.slope.deg1,44            NA           NA
log.slope.deg1,47            NA           NA
pH.water                     NA           NA
log.cond.water               NA           NA
log.Ca.water                 NA           NA
# Unadjusted R^2 retrieved from the rda object
(R2 <- RsquareAdj(spe.rda)$r.squared)
[1] 1
# Adjusted R^2 retrieved from the rda object
(R2adj <- RsquareAdj(spe.rda)$adj.r.squared)
[1] NA

Man erhält R²adj. = 0.376 Jetzt kann man den Triplot erstellen

## Triplots of the rda results (lc scores)
## Site scores as linear combinations of the environmental variables
# dev.new(title = "RDA scaling 1 and 2 + lc", width = 15, height = 6, noRStudioGD = TRUE)
# par(mfrow = c(1, 2))

# 1 und 2 Achse
plot(spe.rda,
  display = c("sp", "lc", "cn"),
  main = "Triplot RDA spe.hel ~ env2 - scaling 2 - lc scores"
)
spe.sc2 <- scores(spe.rda, choices = 1:2, display = "sp")
arrows(0, 0, spe.sc2[, 1] * 0.92, spe.sc2[, 2] * 0.92,
  length = 0,
  lty = 1, col = "red"
)
text(-0.82, 0.55, "b", cex = 1.5)

# 1 und 3 Achse
plot(spe.rda,
  display = c("sp", "lc", "cn"), choices = c(1, 3),
  main = "Triplot RDA spe.hel ~ env2 - scaling 2 - lc scores"
)
spe.sc2 <- scores(spe.rda, choices = c(1, 3), display = "sp")
arrows(0, 0, spe.sc2[, 1] * 0.92, spe.sc2[, 2] * 0.92,
  length = 0,
  lty = 1, col = "red"
)
text(-0.82, 0.55, "b", cex = 1.5)

## Triplots of the rda results (wa scores)
## Site scores as weighted averages (vegan's default)
# Scaling 1 :  distance triplot
# dev.new(title = "RDA scaling 2 + wa",width = 7, height = 6, noRStudioGD = TRUE)

# Scaling 2 (default) :  correlation triplot
plot(spe.rda, main = "Triplot RDA spe.hel ~ env3 - scaling 2 - wa scores")
arrows(0, 0, spe.sc2[, 1] * 0.92, spe.sc2[, 2] * 0.92, length = 0, lty = 1, col = "red")

Auswahl der höchstkorrelierten Arten (Grenzwert kann subjektiv nach Bedarf gesetzt werden, hier 0.5).

# Select species with goodness-of-fit at least 0.6 in the
# ordination plane formed by axes 1 and 2
spe.good <- goodness(spe.rda)
sel.sp <- which(spe.good[, 2] >= 0.6)
sel.sp

# Global test of the RDA result
anova(spe.rda, permutations = how(nperm = 999))

# Tests of all canonical axes
anova(spe.rda, permutations = how(nperm = 999))
anova(spe.rda, by = "axis", permutations = how(nperm = 999))

Die ersten drei RDA-Achsen sind also signifikant. Man könnte also auch noch eine Visualisierung von RDA 3 vs. RDA 1 machen.

  • Partielle RDA
  • Simple syntax; X and W may be in separate tables of quantitative
  • variables
spechem.physio <- rda(spe.hel, envchem, envtopo)
summary(spechem.physio)

# Formula interface; X and W variables must be in the same
# data frame
(spechem.physio2 <-
  rda(spe.hel ~ pH.peat + log.ash.perc + Ca_peat + Mg_peat + Na_peat
    + K_peat + Acidity.peat + CEC.peat + Base.sat.perc + P.peat
    + pH.water + log.cond.water + log.Ca.water
    + Condition(Waterlev.max + Waterlev.av + Waterlev.min + log.peat.lev
      + log.slope.deg), data = env2))

# Test of the partial RDA, using the results with the formula
# interface to allow the tests of the axes to be run
anova(spechem.physio2, permutations = how(nperm = 999))
anova(spechem.physio2, permutations = how(nperm = 999), by = "axis")

# Partial RDA triplots (with fitted site scores)
# with function triplot.rda
# dev.new(title = "Partial RDA", width = 7, height = 6, noRStudioGD = TRUE)

triplot.rda(spechem.physio,
  site.sc = "lc", scaling = 2,
  cex.char2 = 0.8, pos.env = 3, mult.spe = 1.1, mar.percent = 0.04
)
text(-3.34, 3.64, "b", cex = 2)

Varianzpartitionierung

## 1. Variation partitioning with all explanatory variables
(spe.part.all <- varpart(spe.hel, envchem, envtopo))

Partition of variance in RDA 

Call: varpart(Y = spe.hel, X = envchem, envtopo)

Explanatory tables:
X1:  envchem
X2:  envtopo 

No. of explanatory tables: 2 
Total variation (SS): 30.873 
            Variance: 0.49795 
No. of observations: 63 

Partition table:
                     Df R.squared Adj.R.squared Testable
[a+c] = X1           53   0.89878       0.30274     TRUE
[b+c] = X2           32   0.63883       0.25357     TRUE
[a+b+c] = X1+X2      62   1.00000                   TRUE
Individual fractions                                    
[a] = X1|X2          30                             TRUE
[b] = X2|X1           9                             TRUE
[c]                   0                            FALSE
[d] = Residuals                                    FALSE
---
Use function 'rda' to test significance of fractions of interest
# Plot of the partitioning results
# dev.new(title = "Variation partitioning", width = 7, height = 7, noRStudioGD = TRUE)

plot(spe.part.all, digits = 2, bg = c("red", "blue"),
  Xnames = c("Chemistry", "Physiography"), id.size = 0.7)

Die durch die erhobenen Umweltvariablen insgesamt erklärte Varianz (37.6%, s.o.) entfällt zu 19.4% auf chemische Variablen, 3.6% auf physiographische Variablen und zu 14.6% auf gemeinsame Erklärung.