  In 2018 the ''Onderweg in Nederland'' (translation: the Dutch Travel Survey)
project by Statistics Netherlands was commenced, where participants were asked
to track their location using an app, and check if the data is correct. An
issue that occurs is so-called 'gaps' in the location data, where a whole
sequence of data points is missing. The easiest way to fill such a gap is with
a straight line, but this leads to systematic errors such as an underestimation
of the distance travelled. A more realistic way to fill this gap is with a
stochastic process. We use a Brownian bridge to model the movement of a
traveller, as these have been used before successfully in ecological research.
We find an explicit expression for the distance travelled in terms of some
parameters that can be obtained from the data. To test whether this method
gives an accurate estimation of the distance travelled, we simulate travel data
using multiple different processes.
