Extending logistic growth for smart agriculture: A four-dimensional model integrating photosynthesis and resource efficiency

This paper introduces a novel four-dimensional extension of the logistic growth model for smart agriculture, integrating plant height, biomass, chlorophyll content, and leaf area into the existing logistic framework. Unlike traditional models, which focus on single-dimensional traits, this work intr...

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Main Authors: Nezha Kharraz, István Szabó
Format: Article
Language:English
Published: Elsevier 2025-12-01
Series:Smart Agricultural Technology
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S277237552500471X
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author Nezha Kharraz
István Szabó
author_facet Nezha Kharraz
István Szabó
author_sort Nezha Kharraz
collection DOAJ
description This paper introduces a novel four-dimensional extension of the logistic growth model for smart agriculture, integrating plant height, biomass, chlorophyll content, and leaf area into the existing logistic framework. Unlike traditional models, which focus on single-dimensional traits, this work introduces multidimensional biological traits and dynamically adjusts the carrying capacity (K) and growth rate (r) based on real-time environmental factors such as light intensity (100–600 µmol m⁻²s⁻¹), temperature (18 °C to 28 °C), and nutrient availability (Low, Medium, High). The growth rate is refined through a photosynthesis-driven model, incorporating light intensity and chlorophyll content as key variables. A significant innovation is the inclusion of sustainability factors, such as energy savings (20–25 %) and CO₂ reduction (15 %), which collectively reduce energy consumption by 22 % while maintaining plant growth efficiency. Simulations over a 90-day growth cycle showed a 15 % increase in biomass accumulation under adaptive resource allocation compared to baseline conditions. The model achieves a predictive accuracy of R² = 0.93 and RMSE = 0.12, validating its effectiveness in simulating real-world conditions. This work represents a significant advancement in the field, offering a new framework for precision agriculture that optimizes crop yields and minimizes resource waste in controlled environments.
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spelling doaj-art-ce3a47bc3f164d3b83e763500a1ed91b2025-08-20T03:58:21ZengElsevierSmart Agricultural Technology2772-37552025-12-011210124010.1016/j.atech.2025.101240Extending logistic growth for smart agriculture: A four-dimensional model integrating photosynthesis and resource efficiencyNezha Kharraz0István Szabó1Doctoral School of Mechanical Engineering, Hungarian University of Agriculture and Life Sciences 2100 Gödöllő, Páter Károly u. 1., Hungary; Corresponding author.Institute of Mechanical Engineering, Hungarian University of Agriculture and Life Sciences 2100 Gödöllő, Páter Károly u. 1., HungaryThis paper introduces a novel four-dimensional extension of the logistic growth model for smart agriculture, integrating plant height, biomass, chlorophyll content, and leaf area into the existing logistic framework. Unlike traditional models, which focus on single-dimensional traits, this work introduces multidimensional biological traits and dynamically adjusts the carrying capacity (K) and growth rate (r) based on real-time environmental factors such as light intensity (100–600 µmol m⁻²s⁻¹), temperature (18 °C to 28 °C), and nutrient availability (Low, Medium, High). The growth rate is refined through a photosynthesis-driven model, incorporating light intensity and chlorophyll content as key variables. A significant innovation is the inclusion of sustainability factors, such as energy savings (20–25 %) and CO₂ reduction (15 %), which collectively reduce energy consumption by 22 % while maintaining plant growth efficiency. Simulations over a 90-day growth cycle showed a 15 % increase in biomass accumulation under adaptive resource allocation compared to baseline conditions. The model achieves a predictive accuracy of R² = 0.93 and RMSE = 0.12, validating its effectiveness in simulating real-world conditions. This work represents a significant advancement in the field, offering a new framework for precision agriculture that optimizes crop yields and minimizes resource waste in controlled environments.http://www.sciencedirect.com/science/article/pii/S277237552500471XLogistic growth modelSmart agriculturePhotosynthesis efficiencyBiomassPlant growthResource allocation
spellingShingle Nezha Kharraz
István Szabó
Extending logistic growth for smart agriculture: A four-dimensional model integrating photosynthesis and resource efficiency
Smart Agricultural Technology
Logistic growth model
Smart agriculture
Photosynthesis efficiency
Biomass
Plant growth
Resource allocation
title Extending logistic growth for smart agriculture: A four-dimensional model integrating photosynthesis and resource efficiency
title_full Extending logistic growth for smart agriculture: A four-dimensional model integrating photosynthesis and resource efficiency
title_fullStr Extending logistic growth for smart agriculture: A four-dimensional model integrating photosynthesis and resource efficiency
title_full_unstemmed Extending logistic growth for smart agriculture: A four-dimensional model integrating photosynthesis and resource efficiency
title_short Extending logistic growth for smart agriculture: A four-dimensional model integrating photosynthesis and resource efficiency
title_sort extending logistic growth for smart agriculture a four dimensional model integrating photosynthesis and resource efficiency
topic Logistic growth model
Smart agriculture
Photosynthesis efficiency
Biomass
Plant growth
Resource allocation
url http://www.sciencedirect.com/science/article/pii/S277237552500471X
work_keys_str_mv AT nezhakharraz extendinglogisticgrowthforsmartagricultureafourdimensionalmodelintegratingphotosynthesisandresourceefficiency
AT istvanszabo extendinglogisticgrowthforsmartagricultureafourdimensionalmodelintegratingphotosynthesisandresourceefficiency