# Equation-based Analytics

## Intro

GeoPard Equation Analytics offers a powerful tool that allows you to apply mathematical theories through `Python` code to blend datasets and extract values. It supports both single and batch Equation Maps modes, enabling the scaling of agronomic logic across thousands of hectares or acres.

## Formulas Could Be Useful for

* Creating Rx maps
* Calculate [Fertilizer Use Efficiency](https://docs.geopard.tech/geopard-tutorials/agronomy/nitrogen-use-efficiency-nue-and-nitrogen-uptake)
* ROI maps
* Change detection
* Analyze the Quality of VR operations (compare target vs applied). 
* Check the blog article [Equation-based Analytics in PrecisionAg](https://geopard.tech/blog/equation-based-analytics-precision/) for more examples.

## First Equation: Step-by-Step Guide (Interactive demo)

For the first Equation Map, let's calculate the total applied nitrogen from the three executed operations of the "Kalkamonsalpeter 27" product. In this tutorial, we will go through all the steps to create the map and understand the total applied nitrogen.

{% @arcade/embed flowId="6lqO3XlaeVuVDhDwjeGh" url="<https://app.arcade.software/share/6lqO3XlaeVuVDhDwjeGh>" %}

## Using Equation Maps in Equations (Sequnce of Equations)

Sometimes, there is a need to use already calculated Equation Maps or Zone Maps in an Equation. This is possible with GeoPard, and below is a step-by-step guide on how to do this.

{% @arcade/embed flowId="zeuVyl91MfW5DD1ccgZn" url="<https://app.arcade.software/share/zeuVyl91MfW5DD1ccgZn>" %}

An example of Equations sequencing: calculate NUE from yield, protein and as-applied datasets. Read more in the blog post: [NUE calculations using Grainsensing HarvestLab, Yield and As-Applied fertilizer data layers](https://geopard.tech/blog/nitrogen-use-efficiency-use-case-from-lva-john-deere-dealer-from-germany/).

<figure><img src="https://3272281156-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FYICBELdyAXXebKAzfLOR%2Fuploads%2Foopm3pM7Xwr9VRTlMZwQ%2FScreenshot%202025-02-04%20at%2018.38.28.png?alt=media&#x26;token=97926bdc-8177-4314-82fd-ccb76574ce2f" alt=""><figcaption><p>An Example of equations sequencing -> calculate Nitrogen Use Efficiency &#x26;  Surplus</p></figcaption></figure>