A soil water indicator for a dynamic model of crop and soil water interaction
Water scarcity is a critical issue in agriculture, and the development of reliable methods for determining soil water content is crucial for effective water management. This study proposes a novel, theoretical, non-physiological indicator of soil water content obtained by applying the next-generatio...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023618?viewType=HTML |
| _version_ | 1797783615922241536 |
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| author | Edwin Duque-Marín Alejandro Rojas-Palma Marcos Carrasco-Benavides |
| author_facet | Edwin Duque-Marín Alejandro Rojas-Palma Marcos Carrasco-Benavides |
| author_sort | Edwin Duque-Marín |
| collection | DOAJ |
| description | Water scarcity is a critical issue in agriculture, and the development of reliable methods for determining soil water content is crucial for effective water management. This study proposes a novel, theoretical, non-physiological indicator of soil water content obtained by applying the next-generation matrix method, which reflects the water-soil-crop dynamics and identifies the minimum viable value of soil water content for crop growth. The development of this indicator is based on a two-dimensional, nonlinear dynamic that considers two different irrigation scenarios: the first scenario involves constant irrigation, and the second scenario irrigates in regular periods by assuming each irrigation as an impulse in the system. The analysis considers the study of the local stability of the system by incorporating parameters involved in the water-soil-crop dynamics. We established a criterion for identifying the minimum viable value of soil water content for crop growth over time. Finally, the model was calibrated and validated using data from an independent field study on apple orchards and a tomato crop obtained from a previous field study. Our results suggest the advantages of using this theoretical approach in modeling the plants' conditions under water scarcity as the first step before an empirical model. The proposed indicator has some limitations, suggesting the need for future studies that consider other factors that affect soil water content. |
| first_indexed | 2024-03-13T00:28:25Z |
| format | Article |
| id | doaj.art-c787a84fd8b34ea994a3df7b8e3843ba |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-03-13T00:28:25Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-c787a84fd8b34ea994a3df7b8e3843ba2023-07-11T01:34:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-06-01208138811389910.3934/mbe.2023618A soil water indicator for a dynamic model of crop and soil water interactionEdwin Duque-Marín 0Alejandro Rojas-Palma 1Marcos Carrasco-Benavides21. Doctorado en Modelamiento Matemático Aplicado, Facultad de Ciencias Básicas, Universidad Católica del Maule, Talca 3460000, Chile1. Doctorado en Modelamiento Matemático Aplicado, Facultad de Ciencias Básicas, Universidad Católica del Maule, Talca 3460000, Chile 2. Departamento de Matemática, Física y Estadística, Facultad de Ciencias Básicas, Universidad Católica del Maule, Talca 3460000, Chile1. Doctorado en Modelamiento Matemático Aplicado, Facultad de Ciencias Básicas, Universidad Católica del Maule, Talca 3460000, Chile3. Departamento de Ciencias Agrarias, Facultad de Ciencias Agrarias y Forestales, Universidad Católica del Maule, Curicó 3340000, ChileWater scarcity is a critical issue in agriculture, and the development of reliable methods for determining soil water content is crucial for effective water management. This study proposes a novel, theoretical, non-physiological indicator of soil water content obtained by applying the next-generation matrix method, which reflects the water-soil-crop dynamics and identifies the minimum viable value of soil water content for crop growth. The development of this indicator is based on a two-dimensional, nonlinear dynamic that considers two different irrigation scenarios: the first scenario involves constant irrigation, and the second scenario irrigates in regular periods by assuming each irrigation as an impulse in the system. The analysis considers the study of the local stability of the system by incorporating parameters involved in the water-soil-crop dynamics. We established a criterion for identifying the minimum viable value of soil water content for crop growth over time. Finally, the model was calibrated and validated using data from an independent field study on apple orchards and a tomato crop obtained from a previous field study. Our results suggest the advantages of using this theoretical approach in modeling the plants' conditions under water scarcity as the first step before an empirical model. The proposed indicator has some limitations, suggesting the need for future studies that consider other factors that affect soil water content.https://www.aimspress.com/article/doi/10.3934/mbe.2023618?viewType=HTMLindicatorimpulsive irrigationmathematical modelvegetative growthwater scarcity |
| spellingShingle | Edwin Duque-Marín Alejandro Rojas-Palma Marcos Carrasco-Benavides A soil water indicator for a dynamic model of crop and soil water interaction Mathematical Biosciences and Engineering indicator impulsive irrigation mathematical model vegetative growth water scarcity |
| title | A soil water indicator for a dynamic model of crop and soil water interaction |
| title_full | A soil water indicator for a dynamic model of crop and soil water interaction |
| title_fullStr | A soil water indicator for a dynamic model of crop and soil water interaction |
| title_full_unstemmed | A soil water indicator for a dynamic model of crop and soil water interaction |
| title_short | A soil water indicator for a dynamic model of crop and soil water interaction |
| title_sort | soil water indicator for a dynamic model of crop and soil water interaction |
| topic | indicator impulsive irrigation mathematical model vegetative growth water scarcity |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023618?viewType=HTML |
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