  Recently, Giraitis et al. (2003, [10]) proposed the $V/S$ statistic for
testing long memory in random sequences. We generalize this statistic to the
setting of random fields. The null hypothesis is concerned with short memory
random fields while the alternative contains a very large family of long memory
random fields. Contrary to most of the previous works dealing with long-range
dependence, no assumption is made about the isotropy of the strong dependence.
Some simulations are presented in order to assess the power of the test
according to the kind of long memory in presence.
