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A Comparison of Life Cycle Assessment Studies                   281

            although some researchers argued that it cannot be an accurate measure of energy
            functions (Malça and Freire 2006; Shapouri et al. 2002) and it is not a measure of
            environmental impacts also. When physical properties alone cannot be established
            or used, allocation may be based on the economic value of the products although
            price variation, subsidies, and market interferences could imply difficulties in its
            implementation (Luo et al. 2009).
              In a study of soybean-derived biodiesel, Huo et al. (2009) compared five
            approaches to address the coproduct issues for various coproducts including pro-
            tein products (such as soy meal), industrial feedstock (such as glycerin), and
            energy products (such as propane fuel mix and heavy oils). These five approaches
            includes the displacement approach, an energy-based allocation approach, a
            market-value based allocation approach, hybrid approach I, which employs both
            the displacement method (for soy meal and glycerin) and the allocation method
            (for other energy coproducts) and hybrid approach II, which is exactly like hybrid
            approach I except that it addresses soy meal with a market-value-based allocation
            method. The results of the displacement approach are influenced significantly by
            the extent of the energy and carbon intensity of the products chosen to be displaced
            and argued that soy meal displacement could introduce uncertainties because soy
            meal can displace many kinds of fodder and each fodder could have different
            energy and carbon intensities. Huo and coworker suggested that when the choice is
            between the displacement method and the allocation method, the displacement
            method tends to be chosen if the uncertainties and difficulties associated with it are
            solved, because it can reflect the energy use and emissions actually saved as a
            result of the coproducts replacing other equivalent products. They also pointed out
            that ‘‘energy-value-based allocation method is a favorable choice for a system in
            which the value of all the primary product and coproducts can be determined on
            the basis of their energy content, such as the production processes of renewable
            fuels. If a non-energy coproduct is involved and there are difficulties associated
            with using the displacement approach, the market-value-based allocation method
            could be an acceptable choice, although the fluctuation of prices could affect the
            results.’’ Huo et al. (2009) concluded that the integration of displacement method
            and allocation method (hybrid approaches) could be the most reasonable choice of
            allocation method for every coproduct. The results of the two hybrid approaches
            were very close in terms of GHG emissions, indicating that the uncertainty
            associated with using soy meal to displace soybeans would be in an acceptable
            range. Reap et al. (2008b) observe that allocation failures hide or exaggerate
            burdens associated with a product system, effectively biasing all downstream
            results with an artifact of the analysis.
              A number of scientific literatures are available which addresses the allocation
            issue in LCA and describe the alternative approaches to allocation (Frischknecht
            2000; Wang et al. 2004; Curran 2007; Luo et al. 2009). Wang (2005) showed
            significant impact on overall energy and emission results of alternative allocation
            methods for corn ethanol LCA, ranging from benefits relative to petroleum of
            16–52 % in the case when the ethanol is made by a wet milling process. In another
            study, Fergusson (2003) also found somewhat smaller (but nevertheless
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