field

[OED]: 17. a. Physics. The area or space under the influence of, or within the range of, some agent; a state or situation in which a force is exerted on any objects of a particular kind (e.g. electric charges) that are present; the action of such a force; the value (or direction) at any point of the force on an object defined as having unit magnitude, or the set of the vectors that represent this force at each point in a region.

field

in
Source: 
de Smith, et al. (2008)
Conceptualizing the geographic world as a series of continuous surfaces, each mapping location to the value of some variable, permits representations of gradient, slope, aspect, and allows for volumetric analysis, visibility analysis, and least-cost paths. In '. . . the continuous-field view, reality is a collection of continuous surfaces, each representing the variation of one property over the Earth's surface. When it is necessary to differentiate by height, the field becomes three-dimensional rather than two-dimensional, and time may add a
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