\begin{table}[t]
\caption{SIAF values (in W m$^{-2}$ K$^{-1}$) for the (top) Arctic and (bottom) Southern Ocean derived from (left) Observations and model simulations of (middle) 4XCO$_{2}$ and (right) historical simulations. Each value shows the central estimate and 2$\sigma$ range across the bootstrapping Monte-Carlo simulations for the observations and inter-model spread for the models. The top row in each hemisphere shows the full calculation using the model specific RS and IS. The second row shows the impact of inter-model differences in IS as calculated using the model specific IS and the observed RS. The third row shows the impact of inter-model differences in RS as calculated using the model specific RS and the observed IS.}\label{t1}
\begin{center}
\begin{tabular}{c|c|c|c}
\hline\hline
\multicolumn{4}{c}{\textbf{Arctic}} \\
\hline\hline

  & Observations & 4XCO$_{2}$ & Historical\\
\hline \hline
 Full Calculation & 0.16 $\pm$ 0.04 & 0.13 $\pm$ 0.09 & 0.12 $\pm$ 0.13 \\
\hline
 \begin{tabular}{@{}c@{}}IS contribution \\ RS$_{OBS}$ $\times$ IS \end{tabular}&                  & 0.13 $\pm$ 0.08 & 0.12 $\pm$ 0.12 \\
\hline
\begin{tabular}{@{}c@{}}RS contribution \\ RS $\times$ IS$_{OBS}$ \end{tabular}&                    & 0.16 $\pm$ 0.04 & 0.16 $\pm$ 0.04 \\
\hline\hline
\multicolumn{4}{c}{\textbf{Southern Ocean}} \\
\hline\hline

  & Observations & 4XCO$_{2}$ & Historical\\
\hline \hline
 Full Calculation                                                              &                   & 0.08 $\pm$ 0.13 &              \\
\hline
 \begin{tabular}{@{}c@{}}IS contribution \\ RS$_{OBS}$ $\times$ IS \end{tabular}&                  & 0.07 $\pm$ 0.11 &               \\
\hline
\begin{tabular}{@{}c@{}}RS contribution \\ RS $\times$ IS$_{OBS}$ \end{tabular}&                   & 0.08 $\pm$ 0.04 &                \\
\hline\hline

\end{tabular}
\end{center}
\end{table}
\efloatseparator
 
\begin{table}[t]
\caption{\TO{Global albedo feedback (GAF)} in CMIP5 climate models calculated using the methodology of this study -- with a model specific RS from the isotropic model-- compared to that calculated using RS from the GFDL surface albedo kernel for all models. The CMIP5 ensemble mean and 2 $\sigma$ are shown for each hemisphere and divided into ocean and full domains.}\label{t2}
\begin{center}
\begin{tabular}{c|c|c}
\hline\hline
\multicolumn{3}{c}{\textbf{Northern Hemisphere}} \\
\hline\hline

                 & Ocean Domain & Total  \\
\hline \hline
 This Study      & 0.15 $\pm$ .10  & 0.27 $\pm$ 0.18  \\
\hline
 GFDL RS kernel  & 0.11 $\pm$ 0.06 & 0.20 $\pm$ 0.11 \\
\hline\hline
\multicolumn{3}{c}{\textbf{Southern Hemisphere}} \\
\hline\hline

  & Ocean Domain & Total  \\
\hline \hline
 This Study      & 0.09 $\pm$ 0.16  & 0.10 $\pm$ 0.17  \\
\hline
 GFDL RS kernel  & 0.08 $\pm$ 0.14  & 0.09 $\pm$ 0.15  \\
\hline\hline


\multicolumn{3}{c}{\textbf{Global}} \\
\hline\hline

  & Ocean Domain & Total  \\
\hline \hline
 This Study      & 0.24 $\pm$ 0.15  & 0.37 $\pm$ 0.19  \\
\hline
 GFDL RS kernel  & 0.19 $\pm$ 0.11  & 0.29 $\pm$ 0.13  \\
\hline\hline \hline

  \end{tabular}
\end{center}
\end{table}
\efloatseparator