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Non-parametric Statistical Formulas for Factors of Safety of Plant Stems
Cornell University, Ithaca.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Material Science.ORCID iD: 0000-0001-9649-8621
Luleå tekniska universitet.
1999 (English)In: Journal of Theoretical Biology, ISSN 0022-5193, E-ISSN 1095-8541, Vol. 197, no 2, p. 135-147Article in journal (Refereed) Published
Abstract [en]

A previously proposed statistical approach for computing factors of safety (i.e. numerical measures of mechanical reliability) for any load bearing structure, like a vertical plant stem, is here extended to cope with organic structures whose morphological or mechanical properties have Weibull frequency distributions. This approach is illustrated using the actual lengthLand critical buckling lengthLerof flower stalks (peduncles) collected from isogenic garlic (Allium sativum) populations grown under windy field and protected glasshouse conditions. Our analyses of the data indicate thatLandLerof peduncles harvested from both populations have Weibull frequency distributions, that the factor of safety for glasshouse grown peduncles is very near unity (i.e.S=1.03), and that the factor of safety of field grown peduncles is 73% higher than that of glasshouse grown plants (i.e.S=1.73). Comparisons between theS-values computed on the basis of our formulas and on the basis of the quotient of the mean values ofLerandLfor each of the two populations indicate that the statistical method gives biologically realisticS-values and that the difference in theS-values for stems grown under protected and unprotected environmental conditions likely reflects the effects of chronic mechanical perturbation (due to wind-induced drag) on normal stem growth and development.

Place, publisher, year, edition, pages
1999. Vol. 197, no 2, p. 135-147
National Category
Composite Science and Engineering
Research subject
Polymeric Composite Materials
Identifiers
URN: urn:nbn:se:ltu:diva-6905DOI: 10.1006/jtbi.1998.0863ISI: 000079182500001Scopus ID: 2-s2.0-0033590766Local ID: 53d69390-8b9d-11dc-a33e-000ea68e967bOAI: oai:DiVA.org:ltu-6905DiVA, id: diva2:979791
Note
Godkänd; 1999; 20071105 (cira)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Varna, Janis

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