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the opposite direction (a - b).  For example, a simulated difference of +1.5 for Texas
                   biofuels patents over New York patents (Table 5, line 2) denotes that we expect that
                   patents from Texas receive 1.5 more citations than patents from New York (i.e., patents
                   from Texas are on average 30% more highly cited).  Inversely, New York biofuels
                   patents are 24% less highly cited and therefore less technologically important than
                   patents from Texas.  Data herein is preliminary and represents a limited set of identified
                   energy patents.  However, it does provide interesting evidence of differences between
                   technology areas and paths for future exploration in clean energy patenting and
                   innovation.  In the following sections, we provide descriptions of the sources of technical
                   and commercial breakthrough patents in the solar, wind, and biofuels technology areas.


                   3.3.1  Solar
                   For technical importance, unassigned solar patents from independent inventors are
                   significantly less cited than patents owned by universities, national labs, and corporations
                   [29] (Table 3 for all solar data).  Drawing on the previous discussion (§3.1.2.), while
                   most solar patents came from corporations compared to independent inventors, it appears
                   that those patents from corporations were more technically important.  There likely may
                   be some data artifacts here due to the technological differences between photovoltaics
                   and solar thermal innovations, but the differences between sources of total patents
                   compared to breakthrough patents is still relevant.  Solar patents owned by corporations
                   and universities are the most highly cited patents, with an insignificant citation increase
                   to university patents.  We do not observe any strong relationship to funding sources.
                   Increasing team size correlates with increasing technical breakthroughs.  In terms of
                   geographic effects, patents from California and Massachusetts are both highly cited.  The
                   effect in California is likely due to the predominance of the semiconductor industry and
                   resultant solar-applicable technologies that are heavily concentrated there, [77] while the
                   effect in Massachusetts is more likely driven by universities and a few highly innovative
                   solar firms (e.g., Konarka and Evergreen Solar).  Colorado patents are less highly cited
                   relative to patents from other states.  This observation may be due to the higher
                   percentage of solar patents in Colorado originating from independent inventors than in
                   the whole solar dataset (46% versus 33%, respectively).  Singh and Fleming [29] have
                   previously demonstrated that independent inventors often face challenges in bringing
                   their technologies to fruition.  However, the patents from these independent inventors
                   enjoy an average citation count higher than the patents from the national laboratories (6.7
                   versus 6.1, respectively), indicating that perhaps these patents are more technically
                   relevant.






















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