I suppose we should bear the differences between the FE model gravity and the RE theory gravity in mind. The FE model suggests that the apparent force should be constant across the entire planet, potentially with a wave of increased/decreased force reaching from one side of the planet through the North pole to the other, and rotating approximately once every 12 hours to cause the effect of tides (Although a reliable explanation as to what drives the tides has never been agreed on, as far as I can tell).
In RE theory, gravity is present in all objects. The apparent force of gravity should vary from place to place on the planets surface, due to the differing densities of the rocks below and around us. Variations would also be caused by celestial objects, large enough or close enough to have an influence on the planet, resulting in the tides. All celestial objects should also exhibit an apparent attractive force, i.e. objects should be able to orbit or fall towards the Sun, moon or other planets and stars.