Display of graphical maps of agricultural fields, coded with color or other indicators of values of data pertaining to agronomy at high resolution, and updated on a daily basis or on demand by recalculating agronomy models with the high-resolution data, is disclosed. Map displays may include multiple layers that relate to different agronomy metrics, and GUI widgets that are programmed to receive selection of values indicating different field properties or layers to display. In an embodiment, a computer-implemented data processing method providing an improvement in efficient calculation of digital data representing physical properties of agricultural fields, the method comprising receiving digital input specifying a request to display a map image of a specified agricultural field for a particular day； in response to receiving the input, calculating an interpolated digital image of the specified agricultural field with a plurality of different field properties, by: dividing a digital map of the specified field into a plurality of grids each having a same size and a same area； obtaining, from digital storage, a plurality of data for the different field properties and assigning the data as covariates； grouping the grids into a specified number of clusters based on values of the covariates； pseudo-randomly selecting a specified number of one or more sample values in each of the clusters； evaluating a digital fertility model using the sample values and storing a plurality of output values from the digital fertility model； interpolating a plurality of model values for the grids； generating and causing displaying a visual graphical image of the specified agricultural field including color pixels corresponding to each of the model values.
