Anales del Jardín Botánico de Madrid, Vol 72, No 1 (2015)

A Gompertz regression model for fern spores germination


https://doi.org/10.3989/ajbm.2405

Jose María Gabriel y Galán
Department of Plant Sciences (Botany), Faculty of Biological Sciences, Universidad Complutense, Spain

Carmen Prada
Department of Plant Sciences (Botany), Faculty of Biological Sciences, Universidad Complutense, Spain

Cristina Martínez-Calvo
Department of Applied Mathematics (Biomathematics), Faculty of Biological Sciences, Universidad Complutense de Madrid, Spain

Rafael Lahoz-Beltrá
Department of Applied Mathematics (Biomathematics), Faculty of Biological Sciences, Universidad Complutense de Madrid, Spain

Abstract


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.

Keywords


Leptosporangiate ferns; mathematical model; non-green spore; spore germination modelling

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