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Generalized logistic functions in modelling emergence of Brassica napus L

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  • Agnieszka Szparaga
  • Sławomir Kocira

Abstract

The objective of this study was to determine whether generalized logistic functions (Richards model with time shift) may be used to predict emergence of winter rapeseed (Brassica napus L.) after its seed treatment with plant extracts from Taraxacum officinale roots under controlled environment conditions. Emergence analyses were conducted for winter rape whose seeds were treated with a plant extract and for the non-treated seeds sown to the soil at the site of earlier point application of the extract. Curves were plotted for experimental data by minimizing the square sum of differences between the experimental data and the mathematical model. To evaluate model fit, the mean squared error was divided into four factors. Computing modelling efficiency coefficients were also introduced to enable complete analysis. Results of simulation research demonstrate that the determined parameters of curves (e.g. values of growth parameters, time shift or the upper limit of population) describing the number of seedlings in the function of time stayed compliant to the interpretation with regard to the biology of the analyzed processes. The proposed mathematical description based on generalized logistic functions showed extraordinary fit (r = 0.999) to the experimental data, which makes it highly useful in predictive control of rapeseed emergence. In addition, the study enabled concluding that plant extracts application to the soil allowed achieving a higher maximal emergence rate compared to the control sample. The application of the plant extracts increased the final population of rapeseed and significantly accelerated the occurrence of the maximal emergence rate.

Suggested Citation

  • Agnieszka Szparaga & Sławomir Kocira, 2018. "Generalized logistic functions in modelling emergence of Brassica napus L," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-14, August.
  • Handle: RePEc:plo:pone00:0201980
    DOI: 10.1371/journal.pone.0201980
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    Cited by:

    1. Pavol Findura & Patryk Hara & Agnieszka Szparaga & Sławomir Kocira & Ewa Czerwińska & Peter Bartoš & Janusz Nowak & Krzysztof Treder, 2020. "Evaluation of the Effects of Allelopathic Aqueous Plant Extracts, as Potential Preparations for Seed Dressing, on the Modulation of Cauliflower Seed Germination," Agriculture, MDPI, vol. 10(4), pages 1-9, April.
    2. Pavol Findura & Sławomir Kocira & Patryk Hara & Anna Pawłowska & Agnieszka Szparaga & Plamen Kangalov, 2020. "Extracts from Artemisia vulgaris L. in Potato Cultivation—Preliminary Research on Biostimulating Effect," Agriculture, MDPI, vol. 10(8), pages 1-14, August.
    3. Sławomir Kocira & Patryk Hara & Agnieszka Szparaga & Ewa Czerwińska & Hristo Beloev & Pavol Findura & Peter Bajus, 2020. "Evaluation of the Effectiveness of the Use of Biopreparations as Seed Dressings," Agriculture, MDPI, vol. 10(4), pages 1-9, March.
    4. Agnieszka Szparaga & Sylwester Tabor & Sławomir Kocira & Ewa Czerwińska & Maciej Kuboń & Bartosz Płóciennik & Pavol Findura, 2019. "Survivability of Probiotic Bacteria in Model Systems of Non-Fermented and Fermented Coconut and Hemp Milks," Sustainability, MDPI, vol. 11(21), pages 1-19, November.
    5. Agnieszka Szparaga & Maciej Kuboń & Sławomir Kocira & Ewa Czerwińska & Anna Pawłowska & Patryk Hara & Zbigniew Kobus & Dariusz Kwaśniewski, 2019. "Towards Sustainable Agriculture—Agronomic and Economic Effects of Biostimulant Use in Common Bean Cultivation," Sustainability, MDPI, vol. 11(17), pages 1-21, August.

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