Is there any model that is dealing with the analysis of Economic (production) issues and Soil Erosion?

I am interested to establish the relation that analysed impact of agricultural production (land use change) and Soil erosion intensity. All of this I would to quantify: (1a) how much is of economic benefit with the establishment of the agro production (crops, potato, corn…); (2a) how much we need to invest in conservation measures (in EUR/USD); (1b) how much is increased soil erosion intensity when establishing production; (2b) how much conservation measures are balancing agricultural production in relation to the soil erosion intensity.

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