Mathematical Modeling to Estimate Photosynthesis: A State of the Art
Photosynthesis is a process that indicates the productivity of crops. The estimation of this variable can be achieved through methods based on mathematical models. Mathematical models are usually classified as empirical, mechanistic, and hybrid. To mathematically model photosynthesis, it is essentia...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/11/5537 |
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| author | Luz del Carmen García-Rodríguez Juan Prado-Olivarez Rosario Guzmán-Cruz Martín Antonio Rodríguez-Licea Alejandro Israel Barranco-Gutiérrez Francisco Javier Perez-Pinal Alejandro Espinosa-Calderon |
| author_facet | Luz del Carmen García-Rodríguez Juan Prado-Olivarez Rosario Guzmán-Cruz Martín Antonio Rodríguez-Licea Alejandro Israel Barranco-Gutiérrez Francisco Javier Perez-Pinal Alejandro Espinosa-Calderon |
| author_sort | Luz del Carmen García-Rodríguez |
| collection | DOAJ |
| description | Photosynthesis is a process that indicates the productivity of crops. The estimation of this variable can be achieved through methods based on mathematical models. Mathematical models are usually classified as empirical, mechanistic, and hybrid. To mathematically model photosynthesis, it is essential to know: the input/output variables and their units; the modeling to be used based on its classification (empirical, mechanistic, or hybrid); existing measurement methods and their invasiveness; the validation shapes and the plant species required for experimentation. Until now, a collection of such information in a single reference has not been found in the literature, so the objective of this manuscript is to analyze the most relevant mathematical models for the photosynthesis estimation and discuss their formulation, complexity, validation, number of samples, units of the input/output variables, and invasiveness in the estimation method. According to the state of the art reviewed here, 67% of the photosynthesis measurement models are mechanistic, 13% are empirical and 20% hybrid. These models estimate gross photosynthesis, net photosynthesis, photosynthesis rate, biomass, or carbon assimilation. Therefore, this review provides an update on the state of research and mathematical modeling of photosynthesis. |
| first_indexed | 2024-03-10T01:30:52Z |
| format | Article |
| id | doaj.art-a9a387e4bea148329351abfa3c2095d7 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T01:30:52Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-a9a387e4bea148329351abfa3c2095d72023-11-23T13:43:30ZengMDPI AGApplied Sciences2076-34172022-05-011211553710.3390/app12115537Mathematical Modeling to Estimate Photosynthesis: A State of the ArtLuz del Carmen García-Rodríguez0Juan Prado-Olivarez1Rosario Guzmán-Cruz2Martín Antonio Rodríguez-Licea3Alejandro Israel Barranco-Gutiérrez4Francisco Javier Perez-Pinal5Alejandro Espinosa-Calderon6Department of Electrical and Electronic Engineering, Tecnológico Nacional de México, Celaya 38010, MexicoDepartment of Electrical and Electronic Engineering, Tecnológico Nacional de México, Celaya 38010, MexicoEngineering School, Universidad Autónoma de Querétaro, Querétaro 76010, MexicoCONACYT-Tecnológico Nacional de México, Celaya 38010, MexicoDepartment of Electrical and Electronic Engineering, Tecnológico Nacional de México, Celaya 38010, MexicoDepartment of Electrical and Electronic Engineering, Tecnológico Nacional de México, Celaya 38010, MexicoRegional Center for Optimization and Device Development, Tecnológico Nacional de México, Celaya 38020, MexicoPhotosynthesis is a process that indicates the productivity of crops. The estimation of this variable can be achieved through methods based on mathematical models. Mathematical models are usually classified as empirical, mechanistic, and hybrid. To mathematically model photosynthesis, it is essential to know: the input/output variables and their units; the modeling to be used based on its classification (empirical, mechanistic, or hybrid); existing measurement methods and their invasiveness; the validation shapes and the plant species required for experimentation. Until now, a collection of such information in a single reference has not been found in the literature, so the objective of this manuscript is to analyze the most relevant mathematical models for the photosynthesis estimation and discuss their formulation, complexity, validation, number of samples, units of the input/output variables, and invasiveness in the estimation method. According to the state of the art reviewed here, 67% of the photosynthesis measurement models are mechanistic, 13% are empirical and 20% hybrid. These models estimate gross photosynthesis, net photosynthesis, photosynthesis rate, biomass, or carbon assimilation. Therefore, this review provides an update on the state of research and mathematical modeling of photosynthesis.https://www.mdpi.com/2076-3417/12/11/5537empirical mathematical modelsmechanistic mathematical modelssemi-empirical or semi-mechanistic mathematical modelsnet photosynthesisphotosynthetic rate |
| spellingShingle | Luz del Carmen García-Rodríguez Juan Prado-Olivarez Rosario Guzmán-Cruz Martín Antonio Rodríguez-Licea Alejandro Israel Barranco-Gutiérrez Francisco Javier Perez-Pinal Alejandro Espinosa-Calderon Mathematical Modeling to Estimate Photosynthesis: A State of the Art Applied Sciences empirical mathematical models mechanistic mathematical models semi-empirical or semi-mechanistic mathematical models net photosynthesis photosynthetic rate |
| title | Mathematical Modeling to Estimate Photosynthesis: A State of the Art |
| title_full | Mathematical Modeling to Estimate Photosynthesis: A State of the Art |
| title_fullStr | Mathematical Modeling to Estimate Photosynthesis: A State of the Art |
| title_full_unstemmed | Mathematical Modeling to Estimate Photosynthesis: A State of the Art |
| title_short | Mathematical Modeling to Estimate Photosynthesis: A State of the Art |
| title_sort | mathematical modeling to estimate photosynthesis a state of the art |
| topic | empirical mathematical models mechanistic mathematical models semi-empirical or semi-mechanistic mathematical models net photosynthesis photosynthetic rate |
| url | https://www.mdpi.com/2076-3417/12/11/5537 |
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