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2015 Journal of Industrial Ecology – www.wileyonlinelibrary.com/journal/jie
Zoboli, O., D. Laner, M. Zessner, and H. Rechberger. 2015. Added values of time series in MFA: The Austrian phosphorus budget from 1990 to 2011. Journal of Industrial Ecology. This supporting information characterizes data uncertainty.
The CV values presented in Table 2 in the manuscript are dependent only on two parameters for each evaluation score (1 to 4). The parameter values for the different sensitivity levels are defined as follows: anot sensitive= 1.0, asensitive = 2.6, ahighly sensitive= 4.5, bnot sensitive= bsensitive= 0.71, bhighly sensitive= 0.8. For score = 1: CV = 0 For score = [1, 4]: CV = 𝑎 ∙ 𝑒 𝑏 ∙ (𝑠𝑐𝑜𝑟𝑒−1) (1) The CVs for Reliability and Expert Judgment are determined using a slightly adapted function (Equation 2), because the best score should not result in zero uncertainty. The parameter values used for Reliability are a= 0.02 and b= 0.805, whereas for Expert Judgment a=0.05 and b= 0.692. For score= [1, 4]: CV = 𝑎 ∙ 𝑒 𝑏 ∙ 𝑠𝑐𝑜𝑟𝑒 (2) The resulting functions are depicted below in Figure 1. 100% Expert estimate
90%
Reliability Highly sensitive and Completeness
Coefficient of variation
80%
Sensitive
70%
Not sensitive
60%
50% 40%
30% 20%
10% 0%
1
2
3
4
Score
Figure S3- 1: Continous functions that reflect the relationships between indicator scores and coefficients of variation S3-1
2015 Journal of Industrial Ecology – www.wileyonlinelibrary.com/journal/jie
Table S3-1: Relative uncertainty of the input data for the flows. Empty lines indicate that no input values were calculated and that they were calculated directly by the software STAN, according to the principle of mass conservation. Flow N. Flow name F1.1 F1.2 F1.3 F1.4 F1.5 F1.6 F2.1 F2.2 F2.3 F2.4 F2.5 F2.6 F2.7 F3.1 F3.2 F3.3 F3.4 F3.5 F3.6 F3.7 F3.8 F4.1 F4.2 F4.3 F4.4 F4.5 F4.6 F4.7 F4.8 F4.9 F4.10 F4.11 F4.12 F4.13 F4.14 F4.15 F4.16 F4.17 F4.18 F4.19 F4.20
Import live animals Export live animals Manure applied to fields Animal products Fallen stock Manure to biogas Atm. deposition agric. Erosion to forestry Agricultural emissions Agricultural products Crops to biogas Non marketable feed Crops to biofuels Import wood and paper Export wood and paper Atm. deposition forestry Pulp industry WW Forestry emissions Wood and paper to consumers Wood & paper to industry Energy wood Import chemicals Import min.fertilizers and phosphate ore Import food Import feed Seeds Mineral fertilizers to agriculture Export feed Export food Export mineral fertilizers Export chemicals Municipal ind. WW Detergents Min. fertilizers to consumers Pet food Food Other industrial waste Vegetal industrial waste Animal industrial waste Marketable feed In situ ind. WW
Biomass ashes to landscaping Biomass ashes to fields Biomass ashes to green areas Biogas digestates Landfilled biomass ashes Biofuels by-products as feed Import raw materials for biofuels Municipal households WW Residual waste Separate org. waste Green waste Waste wood and paper Fecal sludge to groundwater Fecal sludge to agriculture Sewage sludge WW effluents Stormwater overflow Compost to consumers M&B meal to animal feed Substrate landscaping Recycled wood and paper Wastes recycled in agriculture Export sewage sludge Export M&B meal Export filter cakes Export organic waste Waste to biogas plants Green waste to biomass plants Import animal waste Import water bodies Export water bodies Meat production Eggs and milk production Timber Products to food production Products to feed production By-products to animal feed production Food WW Animal feed WW Fertilizer WW Chemical WW Fertilizer industry in situ WW Chemical industry in situ WW
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
56% 56% 56%
56% 56% 56%
56% 56% 56%
56% 56% 56%
50% 50% 50%
44% 44% 44%
40% 40% 40%
37% 37% 37%
34% 34% 34%
32% 32% 32%
30% 30% 30%
29% 29% 29%
28% 28% 28%
27% 27% 27%
25% 25% 25%
27% 27% 27%
25% 25% 25%
27% 27% 27%
25% 25% 25%
27% 27% 27%
25% 25% 25%
27% 27% 27%
52% 15% 12% 21% 33% 27% 52% 36% 51% 51%
52% 15% 12% 22% 33% 27% 53% 36% 51% 51%
52% 15% 12% 22% 33% 27% 52% 36% 50% 50%
52% 15% 12% 22% 33% 27% 53% 36% 51% 51%
44% 15% 12% 23% 33% 27% 54% 36% 51% 51%
38% 15% 12% 23% 33% 27% 27% 36% 51% 51%
33% 15% 12% 24% 27% 27% 27% 36% 51% 51%
29% 15% 12% 25% 29% 27% 29% 33% 51% 51%
25% 15% 12% 21% 29% 27% 30% 31% 51% 51%
23% 15% 12% 20% 30% 27% 31% 29% 52% 52%
20% 15% 12% 20% 34% 27% 32% 26% 52% 52%
18% 15% 12% 19% 32% 27% 31% 26% 53% 53%
17% 23% 21% 19% 31% 29% 30% 28% 54% 54%
16% 52% 60% 19% 29% 29% 29% 28% 55% 55%
12% 52% 60% 18% 28% 27% 27% 26% 55% 55%
12% 52% 60% 16% 28% 29% 29% 28% 55% 55%
12% 52% 60% 16% 25% 27% 30% 26% 55% 55%
12% 52% 60% 17% 28% 29% 29% 28% 55% 55%
12% 52% 60% 17% 28% 27% 27% 26% 55% 55%
12% 52% 60% 18% 29% 26% 27% 26% 55% 55%
12% 52% 60% 19% 31% 28% 29% 28% 55% 55%
16% 52% 60% 20% 32% 29% 29% 28% 55% 55%
56% 26% 33%
56% 24% 32%
49% 22% 30%
44% 21% 30%
39% 20% 29%
35% 19% 28%
33% 19% 28%
31% 18% 28%
29% 18% 28%
28% 18% 27%
27% 17% 27%
26% 18% 12%
27% 18% 12%
27% 18% 12%
27% 19% 12%
28% 20% 12%
29% 21% 12%
31% 22% 12%
33% 24% 12%
36% 26% 12%
39% 28% 12%
44% 28% 12%
59% 56%
58% 56%
51% 56%
45% 56%
40% 50%
35% 45%
34% 40%
32% 37%
29% 34%
29% 32%
28% 31%
26% 30%
27% 29%
25% 28%
25% 26%
24% 26%
24% 26%
24% 28%
27% 29%
27% 30%
27% 31%
29% 32%
83%
83%
83%
83%
83%
83%
83%
83%
83%
83%
83%
83%
83%
83%
47%
47%
47%
83%
83%
47%
83%
83%
81% 60% 30% 23% 22% 13% 31%
81% 60% 30% 23% 20% 13% 31%
81% 60% 30% 23% 19% 13% 29%
81% 60% 30% 23% 18% 13% 29%
81% 54% 30% 23% 15% 13% 29%
81% 49% 30% 23% 15% 13% 29%
81% 45% 30% 23% 15% 13% 29%
81% 42% 30% 23% 15% 13% 31%
81% 40% 29% 23% 15% 13% 31%
81% 38% 29% 23% 15% 13% 31%
81% 37% 29% 23% 15% 13% 29%
81% 36% 29% 23% 15% 13% 29%
81% 35% 29% 23% 15% 13% 29%
81% 35% 29% 23% 14% 13% 31%
81% 33% 29% 23% 14% 12% 31%
81% 33% 29% 23% 13% 12% 31%
81% 33% 29% 23% 13% 12% 31%
81% 35% 29% 23% 13% 11% 29%
81% 35% 29% 23% 13% 11% 29%
81% 36% 29% 23% 12% 11% 29%
81% 37% 29% 23% 12% 11% 31%
81% 38% 29% 23% 12% 11% 31%
61% 56% 56% 80% 80% 40% 40%
55% 56% 56% 80% 80% 37% 37%
50% 56% 56% 80% 80% 35% 35%
46% 56% 56% 80% 80% 32% 32%
43% 56% 56% 80% 80% 30% 30%
41% 56% 56% 80% 80% 28% 28%
39% 56% 56% 80% 80% 30% 30%
38% 56% 56% 80% 80% 32% 32%
37% 56% 56% 80% 80% 35% 35%
36% 56% 56% 80% 80% 37% 37%
36% 56% 56% 80% 80% 40% 40%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
26% 56% 56% 80% 80% 43% 43%
36% 56% 56% 80% 80% 43% 43%
S3-3
2015 Journal of Industrial Ecology – www.wileyonlinelibrary.com/journal/jie
Organic waste to home composting Garden vegetables Garden waste Domestic animals excretions Wood & paper in residual waste Municipal WW to MWWTP Municipal effluent Municipal sewage sludge Industrial effluent Industrial sewage sludge Animal waste to Rendering Green waste to compost Animal waste to biogas HH res. waste to MBT HH res. waste to landfill HH res. waste to TT SS to composting SS to landfill SS to TT SS to co-incineration SS applied in agriculture SS to landscaping M&B meal as fertilizer M&B meal to fuel Stabilized waste to landfill Compost to agriculture Compost to landscaping Stabilized waste to TT Ash co-inc. to landfill Ash/slag to landfill Loss in clinker MSS to fuel MSS to waste incineration Filter cakes Inc. Filter cakes Co-inc. SS to MBT Animal waste to compost Veg. ind. to biogas
2015 Journal of Industrial Ecology – www.wileyonlinelibrary.com/journal/jie
Table S3-2: Relative uncertainty of the input data for the stocks, stock change rates and transfer coefficients. Empty lines indicate that no input values were calculated and that they were calculated directly by the software STAN, according to the principle of mass conservation. Stock N.
Stock name
1990
S1 S2 S3 S6-1 S6-2 S8-1 S8-2 S9
Livestock Agricultural fields Trees and soil Stock in buildings and furniture Private gardens & public green areas Clinker Landfills Water bodies
14.5% 51.0% 50.6%
Stock N.
Stock change rate name
S1 S2 S3 S6-1 S6-2 S8-1 S8-2 S9
Livestock Agricultural fields Trees and soil Stock in buildings and furniture Private gardens & public green areas Clinker Landfills Water bodies
Process N. Process name (transfer coefficient) P8.17 P8.18
