Dynamic Modeling of Agricultural Fresh and Dry Biomass Under Variable Nutrient Supply

Andrew Sharkey, Asher Altman, Yuming Sun and Yongsheng Chen ()
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Andrew Sharkey: School of Civil & Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA
Asher Altman: School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA
Yuming Sun: School of Civil & Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA
Yongsheng Chen: School of Civil & Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA

Agriculture, 2025, vol. 15, issue 18, 1-23

Abstract: Data-driven empirical models, including those based on reaction kinetics, are well-regarded for their ability to make accurate predictions and uncover underlying relationships. While such models have been extensively employed for microbial communities, their use in agricultural populations remains comparatively limited. In this study, researchers analyzed data from hydroponic lettuce cultivation experiments observing nitrogen-, phosphorus-, and potassium-limited growth. Dynamic μ models, which incorporated nutrient-fueled growth and maturity-based rate decay, were adapted to accommodate a variable nutrient supply, as would be expected for nutrient recovery efforts using domestic wastewater. To test these models, researchers analyzed multiple approaches, differing variations in analyses, and other agricultural models against observed biomass measurements. The resulting Dynamic μ biomass models showed significantly less error than all other tested models, were validated against three variable nutrient treatments, and were evaluated against expected wastewater concentrations. Wastewater-cultivated lettuce was predicted to grow between 20 and 72% of fresh mass compared to lettuce grown under ideal nutrient concentrations, and models identified 41.7 days to maximize dry biomass, with a final harvest time of 44.0 days to maximize fresh biomass. Finally, this research demonstrates the application of agricultural modeling for profit estimation and informing decisions on supplemental nutrient use, providing guidance for nutrient recovery from wastewater.

Keywords: monod; relative growth rate; specific growth rate; nutrient; kinetic modeling; Lactuca sativa; Bibb lettuce; hydroponics (search for similar items in EconPapers)
JEL-codes: Q1 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 (search for similar items in EconPapers)
Date: 2025
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