ELECTRONIC SUPPLEMENTARY MATERIAL
How can a life cycle inventory parametric model streamline life cycle assessment in the
wooden pallet sector?
M. Niero ()
ECO – Centre for Ecosystems and Environmental Sustainability, Department of Chemical and Biochemical
Engineering, Technical University of Denmark, Frederiksborgvej 399, 4000 Roskilde, Denmark
QSA – Division for Quantitative Sustainability Assessment, Department of Management Engineering, Technical
University of Denmark (DTU), Produktionstorvet, Building 426, 2800 Kgs. Lyngby, Denmark
F. Di Felice, J. Ren, A. Manzardo, A. Scipioni
CESQA (Quality and Environment Research Centre), Department of Industrial Engineering, University of Padova, Via
Marzolo 9, 35131 Padova, Italy
() Corresponding author:
Monia Niero
Tel: 0045-24649182
e-mail: monni@kt.dtu.dk
The Matlab program used to calculate the fitting equations in section 3.2 is attached below.
function regiss3()%The regission of the function
Y1=input('Input the Vector of Y1:');%Input the Vector of the dependent variables
X1=input('Input the Vector of X1:');%Input the first group of
parameters(independent variables)
X2=input('Input the Vector of X2:');%Input the second group of
parameters(independent variables)
n=length(Y1);X1X2=[];X12=[];X22=[];X12X2=[];X1X22=[];X13=[];X23=[];
for i=1:n
X1X2(i)=X1(i).*X2(i);
X12(i)=X1(i).^2;
X22(i)=X2(i).^2;
X12X2(i)=(X1(i).^2).*X2(i);
X1X22(i)=(X2(i).^2).*X1(i);
X13(i)=X1(i).^3;
X23(i)=X2(i).^3;
end
nX1=X1';nX2=X2';nX1X2=X1X2';nX12=X12';nX22=X22';nX12X2=X12X2';nX1X22=X1X22';nX13
=X13';nX23=X23';
X=[ones(n,1),X1',X2',X1X2',X12',X22',X12X2',X1X22',X13',X23'];
Y=Y1';
P=regress(Y,X),
y1=[];
for i=1:n
y1(i)=P(1,1)+P(2,1)*X1(i)+P(3,1)*X2(i)+P(4,1)*(X1(i).*X2(i))+P(5,1)*(X1(i).^2)+P
(6,1)*(X2(i).^2)+P(7,1)*((X1(i).^2).*X2(i))+P(8,1)*((X2(i).^2).*X1(i))+P(9,1)*(X
1(i).^3)+P(10,1)*(X2(i).^3);
end
Y1%The actual values of the dependent variables
y1%The values calculated by the fitting equation
abs(y1-Y1)%The absolute error of the calculated values to the actual values
abs(y1-Y1)./Y1%The relative error
Table S1 Calculation of impact category indicator CC with the fitting equation 4
Actual value
Calculated
Relative
CC
value CC
error CC
(kg CO2 eq)
(kg CO2 eq)
(%)
2.27
2.2689
0.05
A
1.84
1.8600
1.09
B
2.29
2.2132
3.35
Reference
product
C
2.11
2.2132
4.89
D
3.17
3.1728
0.09
E
1.80
1.7841
0.89
F
3.02
3.0180
2.85
G
1.90
1.8623
1.98
H
2.27
2.9921
0.06
I
2.86
2.9423
2.88
L
1.79
1.8023
0.68
M
1.57
1.5708
0.05
Table S2 Calculation of impact category indicators PMF with the fitting equation 4
Actual value
Calculated
Relative
PMF
value PMF
error PMF
(kg PM10 eq)
(kg PM10 eq)
(%)
5.58E-03
5.6E-03
0.02
A
4.78E-03
4.8E-03
0.60
B
5.64E-03
5.6E-03
5.6
Reference
product
C
5.48E-03
5.6E-03
1.71
D
8.22E-03
8.2E-03
0.04
E
4.64E-03
4.6E-03
0.63
F
7.81E-03
7.8E-03
0.03
G
4.91E-03
4.9E-03
0.75
H
5.58E-03
5.6E-03
I
7.39E-03
7.5E-03
1.17
L
4.62E-03
4.6E-03
0.26
M
4.03E-03
4.0E-03
0.11
Table S3 Calculation of impact category indicator HT with the fitting equation 4
Actual value HT
Calculated
Relative
(kg 1,4DBeq)
value HT
error HT
(kg 1,4DBeq)
(%)
1.070
1.0696
0.04
A
0.898
0.8974
0.07
B
1.120
1.0746
4.05
Reference
product
C
1.020
1.390
1.0746
1.3908
5.36
D
E
0.855
0.8614
0.75
F
1.330
0.03
G
0.908
1.3296
0.8930
H
1.070
1.068
2.32
0.06
1.65
I
1.260
1.2896
2.35
L
0.891
0.53
M
0.762
0.8958
0.7591
0.38
Table S4 Calculation of impact category indicators FD with the fitting equation 4
Actual value FD
(kg oil eq)
Calculated
Relative
value FD
error FD
(kg oil eq))
(%)
0.612
0.6116
0.06
A
0.462
0.4685
1.40
B
0.587
0.5601
4.59
Reference
product
C
0.524
0.5601
6.88
D
0.826
0.12
E
0.451
0.8270
0.4462
F
0.776
0.7753
0.09
G
0.463
0.4498
2.85
H
0.612
0.608
3.66
1.06
I
0.759
0.433
0.7876
0.4373
3.77
L
M
0.391
0.3911
0.02
0.99
Table S5 Calculation of impact category indicator ALO with the fitting equation 4
Actual value ALO
Calculated
Relative
(m2a)
value ALO
error
2
(m a)
ALO(%)
Reference
68.9
68.9259
0.04
product
A
57.3
55.8750
2.49
B
66.6
66.2530
0.52
C
66.6
66.2530
0.52
D
83.1
83.0060
0.11
E
F
49.5
51.3334
72.1
72.1886
3.70
0.12
G
50.2
50.9802
1.55
H
68.9
72.012
3.02
I
74.1
72.0196
2.81
L
47.8
47.5324
0.56
M
39.2
38.8031
1.01