“…Such an approach of using both a forward model and a method of optimising surface temperature histories has been used previously (see, for example Johnsen, 1977;MacAyeal et al, 1991;Johnsen et al, 1995;Cuffey et al, 1995;Cuffey and Clow, 1997;Dahl-Jensen et al, 1998Barrett et al, 2009;Muto et al, 2011;Orsi et al, 2012). The forward models used in these studies all included the heating associated with firn densification with the exceptions of MacAyeal et al (1991);Johnsen et al (1995); Barrett et al (2009) and Muto et al (2011).…”