If I may broaden the request slightly, what you're discussing falls into the realm of what we call "topic theory," a sub-branch of semiotics (the study of "signs").
In topic theory, certain musical symbols (or signs) act as "topics" to evoke a particular idea: a group of horns suggest a "hunting" topic, the siciliano rhythm (dotted eighth, sixteenth, eighth) suggests a "riding" topic (e.g., a horse), etc.
Within this concept, there are clear pastoral topics: maybe strings that indicate a babbling brook, or English horns that could indicate grazing animals.
So although "topic theory" is not completely synonymous with pastorale/idyll narratives, the latter are clearly a part of the former.