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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433

Rev. Mat vol.27 n.2 San José Jul./Dec. 2020 


A stochastic model for germination

Un modelo estocástico de germinación

José Villa-Morales1 

1Universidad Autónoma de Aguascalientes, Departamento de Matemáticas y Física, Aguascalientes, Mexico;


Assuming that the germination process of a seed passes through several stages (or states), including a state of non-germination, we model this phenomenon by means of a continuous-time Markov chain. The distribution of the germination time and the average of the first germination is obtained. In particular, when the duration of the process at each stage is on average the same we see that the proposed model adjusts rather well some experimental data.

Keywords: seed germination; first germination time; continuous-time Markov chains.


Asumiendo que el proceso de germinación de una semilla pasa por varias etapas (o estados), incluyendo un estado de no germinación, se modela éste fenómeno por medio de una cadena de Markov a tiempo continuo. Se obtienen la distribución del tiempo de germinación y la media del tiempo de la primera germinación. En particular, cuando la duración del proceso de germinación es en promedio el mismo en cada etapa vemos que el modelo propuesto se ajusta bastante bien a datos experimentales.

Palabras clave: germinación de semillas; tiempo de la primera germinación; cadenas de Markov a tiempo continuo.

Mathematics Subject Classification: 92B05, 60J05 60J27, 34A05.

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Many thanks to the referees for their valuable and constructive observations that allowed a considerable improvement of the manuscript.


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Received: October 19, 2018; Revised: November 29, 2019; Accepted: February 06, 2020

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