Can you please tell me what is ((stochastic modelling and statistical analysis of spatio-temporal data)) related to? I mean Mathematics or statistics? Is it good subject for student who interested in pure mathematics ?
If this newsletter (American Statistical Association) is any indication, then it seems that both stochastic modelling and statistical analysis of spatio-temporal data are highly relevant and of interest to statistics and statisticians. Likewise Statistics for Spatio-Temporal Data was published as part of Wiley's Series in Probability and Statistics, if that tells you anything.
There are those interested in theoretical statistics who would argue they are doing pure math, and indeed, some are.
But the topics you mentioned are of particular interest within and relevant to applied math and stats.
If you're curious, perhaps you'd like to explore The American Statistical Association's website.