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The existing predictive spatiotemporal indexes can be classified into two
categories, depending on whether they are based on the primal or
dual methodology. Although we have gained
considerable empirical knowledge about various access methods, currently
there is only limited understanding on the theoretical characteristics of
the two methodologies. In fact, the experimental results in different papers
even contradict each other, regarding the relative superiority of the primal
and dual techniques.
This paper presents a careful study on the query performance of general
primal and dual indexes, and reveals important insight into the behavior of
each technique. In particular, we
mathematically establish the conditions that determine the superiority of
each methodology, and provide rigorous justification for well-known
observations that have not been properly
explained in the literature. Our analytical findings also resolve the
contradiction in the experiments of previous work.

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