Remote sensing and GIS have been used extensively for decades to both monitor and improve agricultural productivity. The "uses" have ranged from simple satellite data derived productivity related indices mapped using GIS through to very high spatial resolution remote sensing data on crop plants and their soil/water/nutrient/PAR resources from aircraft/drones/on-the-go very close range platforms such as farm vehicles.
To compile a comprehensive list of the multitude of ways remote sensing and GIS have been used in relation to agricultural productivity you should start with one of the many available textbooks on remote sensing in agriculture (e.g. Steven and Clark, 1990; Baghdadi and Zribi, 2016), the SPIE Proceedings series on Agriculture and Hydrology Applications of Remote Sensing/Remote Sensing in Agriculture, Ecosystems and Hydrology and the following article by Nellis et al. which gives a nice review in 2009 of remote sensing of cropland agriculture:
https://pdfs.semanticscholar.org/6bf4/e57c1d1aef2fe93255a1f487bd27eef7f965.pdf
I hope the above give you a good place to start and good luck in your review of such a huge application area of remote sensing.
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