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The goal of the thesis is to compare the growth vs current mass of local group galaxies with distant ones. The following progress has been made. This report will also cover progress made last term (this work was then registered with the astronomy department).  \subsection{Distant galaxies} \subsection{\bf{Distant galaxies}}  The early part of the project consisted of understanding the data we would use for the growth vs mass of distant galaxies. This data was presented in Tomczak et al 2014 \cite{Tomczak_2014}. We made various graphs to better understand how the growth rate was affected by whether the galaxy was quiescent or star forming. We checked their use of Schechter and Double Schechter functions, before paramaterising the Schechter function to smooth the relationship and ensure that the number density at a specific mass increased monotonically as z approached 0 \cite{Leja_2015}. With this done, graphs showing the change in mass over time between Z = 3 and Z = 0 were constructed for various start masses.  The only correction so far applied to this data concerns mergers. The local group data is based on galaxies that have not undergone mergers \textbf{is this true} and so to compare these data sets, the effects of mergers must be removed from this data set. To do this, the method described in \cite{Gomez_2015}