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A **spatial gradient** is a gradient whose components are spatial derivatives, i.e., rate of change of a given scalar physical quantity with respect to the position coordinates in physical space.
Homogeneous regions have spatial gradient vector norm equal to zero.
When evaluated over vertical position (altitude or depth), it is called * vertical derivative* or

Examples:

- Biology

- Concentration gradient, the ratio of solute concentration between two adjoining regions
- Potential gradient, the difference in electric charge between two adjoining regions

- Fluid dynamics and earth science

- Kreyszig, E. (1999).
*Advanced Engineering Mathematics*. Wiley. ISBN 978-0-471-15496-9. Retrieved 2023-08-27.