Page 300 - Materials Chemistry, Second Edition
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286                                               R.K. Rosenbaum et al.

            often result in a normal distribution of the impact score. This phenomenon is called
            the “central limit theorem” which states that the arithmetic mean of a sufficiently
            large number of independent values will be approximately normally distributed,
            regardless of the underlying input distributions (Pólya 1920). Although, this the-
            orem requires certain conditions to be fulfilled (e.g. independence of the included
            parameters, existence of a finite expected value and standard deviation for each
            parameter), it is reasonable to assume these conditions to be fulfilled by most unit
            processes in LCI. This practical assumption offers several ways to significantly and
            parsimoniously simplify uncertainty quantification in the LCA context with a likely
            acceptable loss of precision when assuming one or only a few distribution types for
            LCA input parameters.




            11.3  Addressing Uncertainty in LCA

            11.3.1 Types and Sources of Uncertainty and Variability
                    in LCA


            There is no shortage of classifications of uncertainty types in literature, ranging
            from only two or three classes up to ten or more different types. A very useful
            classification for LCA was published by Huijbregts (1998) and comprises the
            following classes:
            1. Temporal variability (e.g. seasons),
            2. Spatial variability (e.g. population density, climate conditions),
            3. Variability between objects (e.g. between different individuals),
            4. Parameter uncertainty (e.g. inaccuracy, lack or non-representativeness of input
              data and model parameters),
            5. Model (structure) uncertainty (e.g. algorithms in process and characterisation
              models),
            6. Uncertainty due to choices (e.g. definition of functional unit and system
              boundaries, selection of LCIA method),
              to which Björklund (2002) added:
            7. Epistemological uncertainty (e.g. lack of relevant knowledge),
            8. Mistakes (e.g. choosing the wrong substance or process due to similar names as
              references, unit conversions or unclear units like tons vs. metric tons/tonnes),
              and to which we add:

            9. Relevance uncertainty (e.g. environmental relevance, accuracy or representa-
              tiveness of an indicator towards an area of protection).
              Huijbregts (1998) also provided an illustrative list of examples of sources of
            uncertainty for each type and per LCA phase, which was slightly modified by
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