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A Gompertz regression model for fern spores germination

  • Gabriel y Galán, Jose María [1] ; Prada, Carmen [1] ; Martínez-Calvo, Cristina [1] ; Lahoz-Beltrá, Rafael [1]
    1. [1] Universidad Complutense de Madrid

      Universidad Complutense de Madrid

      Madrid, España

  • Localización: Anales del Jardín Botánico de Madrid, ISSN 0211-1322, Vol. 72, Nº. 1, 2015
  • Idioma: inglés
  • DOI: 10.3989/ajbm.2405
  • Títulos paralelos:
    • Un modelo de regresión de Gompertz para germinación de esporas de helechos
  • Enlaces
  • Resumen
    • español

      La germinación es uno de los procesos biológicos más relevantes tanto para las plantas con esporas, como para las plantas con semillas y los hongos. Hasta el momento, se han desarrollado modelos de germinación para hongos, briofitos y diversas especies de espermatófitos. Los helechos son el único grupo de plantas cuya germinación nunca ha sido modelizada. En este trabajo se desarrolla un modelo de regresión para explicar la germinación de las esporas de helechos. Observamos que para las especies Blechnum serrulatum, Blechnum yungense, Cheilanthes pilosa, Niphidium macbridei y Polypodium feuillei el modelo de crecimiento de Gompertz describe satisfactoriamente la germinación acumulativa. Un importante resultado es que los parámetros de la regresión son independientes de la especie y que el modelo no está afectado por variación intraespecífica. Por lo tanto, los resultados del trabajo muestran que la curva de Gompertz puede representar un modelo general para todos los helechos leptosporangiados de esporas no verdes. Se incluyen, adicionalmente, comentarios sobre el significado fisiológico y ecológico del modelo.

    • English

      Germination is one of the most important biological processes for both seed and spore plants, also for fungi. At present, mathematical models of germination have been developed in fungi, bryophytes and several plant species. However, ferns are the only group whose germination has never been modelled. In this work we develop a regression model of the germination of fern spores. We have found that for Blechnum serrulatum, Blechnum yungense, Cheilanthes pilosa, Niphidium macbridei and Polypodium feuillei species the Gompertz growth model describe satisfactorily cumulative germination. An important result is that regression parameters are independent of fern species and the model is not affected by intraspecific variation. Our results show that the Gompertz curve represents a general germination model for all the non-green spore leptosporangiate ferns, including in the paper a discussion about the physiological and ecological meaning of the model.

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