A mobile apparatus receives a route response comprising an encoded route and one or more delay encoding data structures. The delay encoding data structures are probabilistic data structures configured to not provide false negatives. The mobile apparatus determines a decoded route based on the encoded route and a mobile version of a digital map; determines an expected traffic delay for at least one adjacent traversable map element (TME) of the decoded route based on the one or more delay encoding data structures; and performs one or more navigation functions based at least on the expected traffic delay for the at least one adjacent segment of the decoded route. An adjacent TME is a TME of the digital map that intersects the decoded route and is not a TME of the decoded route.