With
\visible
and the definition of transition duration between slides you can emulate an animation, e.g.
\documentclass{beamer}
\usetheme{EastLansing}
\begin{document}
\begin{frame}
\frametitle{Test}
\begin{minipage}{.8\linewidth}
\centering
\visible<1-5>{%
\makebox[0pt][c]{\includegraphics[width=\textwidth]{plot.png}}%
}%
\visible<2,4>{%
\makebox[0pt][c]{%
\fcolorbox{black}{white}{\includegraphics[clip,width=.25\textwidth,viewport=71mm 0 100mm 30.5mm]{plot.png}}%
}%
}%
\visible<3>{%
\makebox[0pt][c]{%
\fcolorbox{black}{white}{\includegraphics[clip,width=.5\textwidth,viewport=71mm 0 100mm 30.5mm]{plot.png}}%
}%
}%
\transduration<1,3>{10}%
\transduration<2,4>{2}%
\transfade<1-4>[duration=1]%
\end{minipage}%
\end{frame}
\end{document}
This only works in presentation mode. Here the first slide (full image) is shown for 10 seconds. Then the segment of plot d is shown in a small frame for 2 seconds, then the same segment is shown in a larger size for 10 seconds, then again the small one for 2 seconds and last but not least only the full image.
Note: I've used Stefan's plot.png instead of your Figure1.pdf, because Figure1.pdf has a very large file size and rendering needs so much time, that the
animation effec is almost invisible.