Sensors, Pivot irrigation & Polygons
The area represented by a sensor can be understood as a polygon. We use the concept of Theissen polygons to construct the polygons to represent the area represented by the sensor as well as an irrigated zone. For simplicity, we assume both are one and the same.
Each zone may be irrigated differently, but all points in the zone are irrigated the same way and are essentially expected to have similar moisture content and electrical conductivity, as represented by the sensor.
The number of zones depends on the number of sensors
This representation is per irrigation prescription (per pivot per farm) at a time
This approach ensures that
a) each point on the farm is reasonably fairly represented by the sensor closest to it
b) No point is represented by two sensors simultaneously
Read this for the concept of Theissen polygons: Thiessen Polygon Method: Procedure, Numerical, and Solutions - Dream Civil
An algorithm can be created which takes the coordinates of the farm and the sensors as inputs and gives the coordinates of the polygons as outputs. Location of pivot is not required for this.