Concept:
Several standard climatology textbooks are closely associated with their respective authors and are frequently asked in geography examinations.
Step 1: Match each author with the correct book.
\[
\boxed{
\begin{aligned}
\text{Trewartha} &\rightarrow \textit{General Climatology},
\text{Griffiths} &\rightarrow \textit{Applied Climatology},
\text{Barry and Chorley} &\rightarrow \textit{Atmosphere, Weather and Climate},
\text{Critchfield} &\rightarrow \textit{An Introduction to Climate}.
\end{aligned}
}
\]
Step 2: Convert into the given matching.
\[
\boxed{
A\!-\!II,\;
B\!-\!III,\;
C\!-\!I,\;
D\!-\!IV
}
\]
Hence,
\[
\boxed{\text{(A)}}
\]