Temporal queries combine textual and temporal constraints and are used for searching temporal collections like web archives. Indexing these collections might result in huge index files which can reduce the performance of query processing. Static index pruning can be used to increase efficiency. It remains unclear whether these methods are adapted for temporal queries. More specifically, we hypothesize that pruning should preserve the temporal diversity of the collection. In this paper, we compare the effectiveness of four static index pruning methods for temporal collections and show the relation between temporal diversification and retrieval effectiveness. Evaluations are conducted using the Wikipedia collection.