A stochastic model for germination

• Autores: José Villa Morales
• Localización: Revista de Matemática: Teoría y Aplicaciones, ISSN 2215-3373, ISSN-e 2215-3373, Vol. 27, Nº. 2, 2020, págs. 355-365
• Idioma: inglés
• DOI: 10.15517/rmta.v27i2.34109
• Títulos paralelos:
  • Un modelo estocástico de germinación
• Enlaces
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• Resumen
  • español

    Asumiendo que el proceso de germinación de una semilla pasa porvarias etapas (o estados), incluyendo un estado de no germinación, semodela éste fenómeno por medio de una cadena de Markov a tiempo con-tinuo. Se obtienen la distribución del tiempo de germinación y la mediadel tiempo de la primera germinación. En particular, cuando la duracióndel proceso de germinación es en promedio el mismo en cada etapa vemosque el modelo propuesto se ajusta bastante bien a datos experimentales.

  • English

    Assuming that the germination process of a seed passes through sev-eral stages (or states), including a state of non-germination, we model thisphenomenon by means of a continuous-time Markov chain. The distri-bution of the germination time and the average of the first germination isobtained. In particular, when the duration of the process at each stage is onaverage the same we see that the proposed model adjusts rather well someexperimental data.

• Referencias bibliográficas
  • [1] G.J. Barry, R.J. Cawood, R.G. Flood, Curve fitting of germination data using the Richards function, Plant, Cell and Environment, 11(1988),...
  • [2] A. Bould, B.K. Abrol, A model for seed germination curves, Seed Sci and Tech, 9(1981), no. 2, 601–611.
  • [3] H. Challa, Prediction of production: requisite of an integrated approach, Acta Hortic. 229(1988), 133–141. Doi: 10.17660/ActaHortic.1988.229.11
  • [4] A.A. Goloff Jr., F.A. Bazzaz, A germination model for natural seed population, J. Theor. Biol. 52(1975), no. 2, 259–283. Doi: 10.1016/0022-5193(75)90001-6
  • [5] M.K. Gupta, P. Chandra, D.V.K. Samuel, B. Singh, A. Singh, M.K. Garg, Modeling of tomato seedling growth in greenhouse, Agric. Res. 1(2012),...
  • [6] Y. Hara, Estimating the temperature dependence of germination time by assuming multiple rate-determining steps, Plant. Prod. Sci. 8(2005),...
  • [7] H.O. Harley, The modified Gauss-Newton method for the fitting of nonlinear regresion function by least squares, Technometric 3(1961),...
  • [8] P.G. Hoel, S.C. Port, C.J. Stone, Introduction to Stochastic Processes, Houghton Mifflin, Boston, 1972.
  • [9] F.H. Hsu, C.J. Nelson, W.S. Chow, A mathematical model to utilize the logistic function in germination and seedling growth, J. Expl. Bot....
  • [10] J.G.M. Janssen, A method of recording germination curves, Ann. Bot. 37(1973), no. 4, 705–708. doi: 10.1093/oxfordjournals.aob.a084738
  • [11] J.R. Norris, Markov Chains, Cambridge University Press, 1997. doi: 10.1017/CBO9780511810633
  • [12] J.H.M. Thornley, Germination of seeds and spores, Annals of Botany 41(1977), no. 6, 1363–1365. doi: 10.1093/oxfordjournals.aob.a085425
  • [13] M. Torres, G. Frutos, Logistic function analysis of germination behaviour of age fennel seeds, Enviromental and Experimental Botany,...
  • [14] S. Tseng, J.P. Hsu, A stochastic analysis of seed germination, Botanic Bulletin of the Academia Sinica 30(1989), 201–205.