0 5 10 15 200

500

1000

1500

2000

2500

3000

0 5 10 15 200

500

1000

1500

2000

2500

3000

0 5 10 15 20-2

0

2

4

6

0 5 10 15 20-2

0

2

4

6

0 5 10 15 20-0.4

-0.2

0

0.2

0.4

0 5 10 15 20-0.4

-0.2

0

0.2

0.4

0.6

0 5 10 15 20-0.5

0

0.5

0 5 10 15 20-0.4

-0.2

0

0.2

0.4

0.6

lipid WeightLengthAge HeightTemp Lati Long HCB aHCH gHCH dde ddt pcb28 pcb52 pcb101pcb118pcb138pcb153pcb180

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Loadings

0 5 10 15 20 25-10

-5

0

5

0 5 10 15 20 25-4

-2

0

2

4

6

0 5 10 15 20 25-4

-2

0

2

4

0 5 10 15 20 25-4

-2

0

2

Øvre Neådalsvtan Fallbekktjørna Nedre Neadalsvatn Øvre Heimdalsvatnet Stavsvatn Lochnagar Maan Zielony Staw GasienicowyVel’ké Hincovo Gossenkoellesee Rotfelsee Oberder Plenderlesee Schwarzsee Lungo Jörisee Paione inferiore Aubé Redo Okoto Bliznaka Cimera Escura

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Scores

nscores(:,1)=scores(:,1)./norm(scores(:,1),2);nscores(:,2)=scores(:,2)./norm(scores(:,2),2);plot(loads(:,1),loads(:,2),'ob')holdplot(nscores(:,1),nscores(:,2),'+r')vline(0)hline(0)text(nscores(:,1),nscores(:,2),lakenames(:,1:3));text(loads(:,1),loads(:,2),namevarall);grid on

-0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4

0.5

lipid Weight

Length

Age Height

Temp Lati

Long

HCB

aHCH gHCH

dde ddt

pcb28 pcb52

pcb101

pcb118

pcb138 pcb153 pcb180

Loadings for PC# 1

Load

ings

for

PC

# 2

Loadings for PC# 1 versus PC# 2

-10 -8 -6 -4 -2 0 2 4-3

-2

-1

0

1

2

3

4

5

Øvre Neådalsvtan Fallbekktjørna

Nedre Neadalsvatn

Øvre Heimdalsvatnet

Stavsvatn

Lochnagar

Maan

Zielony Staw Gasienicowy

Vel’ké Hincovo

Gossenkoellesee Rotfelsee

Oberder Plenderlesee Schwarzsee

Lungo

Jörisee

Paione inferiore

Aubé

Redo

Okoto

Bliznaka

Cimera

Escura

Scores on PC# 1

Sco

res

on P

C#

2

Scores for PC# 1 versus PC# 2

nscores(:,1)=scores(:,1)./norm(scores(:,1),2);nscores(:,2)=scores(:,2)./norm(scores(:,2),2);plot(loads(:,1),loads(:,2),'ob')holdplot(nscores(:,1),nscores(:,2),'+r')vline(0)hline(0)text(nscores(:,1),nscores(:,2),lakenames(:,1:3));text(loads(:,1),loads(:,2),namevarall);grid on

-0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

ØvrFal

Ned

Øvr

Sta

Loc

Maa

Zie

Vel

GosRot

ObeSch

Lun

Jör

Pai

Aub

Red

Oko

Bli

Cim

Esc

lipid WeightLength

Age Height

Temp Lati

Long

HCB

aHCH gHCH

dde ddt

pcb28 pcb52

pcb101

pcb118

pcb138pcb153pcb180

scores with norm 2

-0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4

0.5

lipid Weight

Length

Age Height

Temp Lati

Long

HCB

aHCH gHCH

dde ddt

pcb28 pcb52

pcb101

pcb118

pcb138pcb153pcb180 Øvr Fal

Ned

ØvrSta

LocMaa

ZieVel

GosRotObeSch

Lun

Jör

Pai

AubRed

Oko

Bli

Cim

Esc

scores with norm 1

-0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4

lipWei

Len

AgeHei

TemLat

Lon

HCB

aHCgHC

ddeddt

pcbpcb

pcb

pcb

pcbpcbpcb

Component 1

Com

pone

nt 2

biplot(loads(:,1:2), 'scores',scores(:,1:2), 'varlabels',namevarall(:,1:3), 'ObsLabels', lakenames);

-10 -8 -6 -4 -2 0 2 4-2.5

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

2.5

Øvre Neådalsvtan

Fallbekktjørna

Nedre Neadalsvatn

Øvre Heimdalsvatnet Stavsvatn

Lochnagar

Maan

Zielony Staw Gasienicowy

Vel’ké Hincovo

Gossenkoellesee

Rotfelsee

Oberder Plenderlesee

Schwarzsee Lungo

Jörisee

Paione inferiore

Aubé

Redo

Okoto

Bliznaka

Cimera

Escura

Scores on PC# 1

Sco

res

on P

C#

3Scores for PC# 1 versus PC# 3

-10 -8 -6 -4 -2 0 2 4-4

-3

-2

-1

0

1

2

Øvre Neådalsvtan Fallbekktjørna

Nedre Neadalsvatn

Øvre Heimdalsvatnet

Stavsvatn Lochnagar Maan

Zielony Staw Gasienicowy Vel’ké Hincovo

Gossenkoellesee

Rotfelsee

Oberder Plenderlesee

Schwarzsee

Lungo

Jörisee

Paione inferiore

Aubé

Redo

Okoto

Bliznaka

Cimera Escura

Scores on PC# 1

Sco

res

on P

C#

4

Scores for PC# 1 versus PC# 4

-10 -8 -6 -4 -2 0 2 4-3

-2

-1

0

1

2

3

Øvre Neådalsvtan

Fallbekktjørna

Nedre Neadalsvatn

Øvre Heimdalsvatnet Stavsvatn

Lochnagar

Maan Zielony Staw Gasienicowy

Vel’ké Hincovo

Gossenkoellesee Rotfelsee Oberder Plenderlesee

Schwarzsee

Lungo

Jörisee Paione inferiore

Aubé

Redo

Okoto Bliznaka

Cimera

Escura

Scores on PC# 1

Sco

res

on P

C#

5Scores for PC# 1 versus PC# 5

y=meanpcb180xo=meanvar;axo=auto(x);ay=auto(y);[b,ssq,p,q,w,t,u,bin] = pls(axo,ay,5,1);vip_scores = vipr(t(:,1),p(:,1),w(:,1),b(1,:)',1,8,namevarpar);

1 2 3 4 5 6 7 8-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

0.2

0.25

lipid

Weight

Length

Age

Height

Temp

Lati

Long

b with 1 PLS componentsy=meanpcb180

1 2 3 4 5 6 7 8-0.5

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4

0.5lipid

Weight

Length

Age

Height

Temp

Lati

Long

weights with 1 PLS components

1 2 3 4 5 6 7 80

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

lipid

Weight

Length

Age

HeightTemp

Lati

Long

VIP with 1 PLS components

1 2 3 4 5 6 7 80

0.5

1

1.5

2

2.5

3

3.5

4

4.5

lipid

Weight

Length

Age

Height

Temp

Lati

Long

VIP with 2 PLS components

[press,cumpress]=crossval(axo,ay,'sim','loo',5); Percent Variance Captured by PLS Model -----X-Block----- -----Y-Block----- LV # This LV Total This LV Total ---- ------- ------- ------- ------- 1 35.98 35.98 61.20 61.20 2 8.84 44.82 15.90 77.10 3 14.86 59.67 1.78 78.88 4 11.85 71.52 0.60 79.48 5 9.77 81.29 0.13 79.61

1 1.5 2 2.5 3 3.5 4 4.5 50.4

0.45

0.5

0.55

0.6

0.65

0.7

0.75

0.8

Latent Variable

RM

SE

CV

(o)

, RM

SE

C (s

)

CV for PLS via SIMPLS, leave-one-out.