Multivariate approach in botany and ecology

Authors

  • Susana B. Perelman Departamento de Métodos Cuantitativos y Sistemas de Información, Facultad de Agronomía, Universidad de Buenos Aires, Ciudad Autónoma de Buenos Aires, Argentina; IFEVA, Facultad de Agronomía, Universidad de Buenos Aires, CONICET, Ciudad Autónoma de Buenos Aires, Argentina. https://orcid.org/0000-0001-6900-6927
  • Laura E. Puhl Departamento de Métodos Cuantitativos y Sistemas de Información, Facultad de Agronomía, Universidad de Buenos Aires, Ciudad Autónoma de Buenos Aires, Argentina. https://orcid.org/0000-0002-0172-9974

DOI:

https://doi.org/10.14522/darwiniana.2023.111.1086

Keywords:

Cluster analysis, correspondence analysis, discriminant analysis, multidimensional scaling, multivariate data, principal components

Abstract

Interesting botanical and ecological studies used the multivariate approach to describe underlying patterns in large data sets and to answer questions about the structure of the studied systems at various scales. This work aims to encourage the correct use of the multivariate approach and offers guidelines for the appropriate choice of the analysis techniques according to the objectives of the study and the characteristics of the data. Some appropriate applications of principal components, multidimensional scaling, correspondence analysis, discriminant, and cluster analysis in articles published in scientific journals of these disciplines are showed. We used reduced versions of the data matrices from some of these papers to present the methods of analysis in a simple way. The focus is placed on the correct interpretation of the results and the biological questions that can be answered through multivariate analysis.

References

Batista, W.; A. Rolhauser, F. Biganzoli, S. Burkart, L. Goveto, A. Maranta, A. Pignataro, N. Morandeira & M. Rabadán. 2014. Las comunidades vegetales de la sabana del parque nacional El Palmar (Argentina). Darwiniana, nueva serie 2(1): 5-38. DOI: https://doi.org/10.14522/darwiniana.2014.21.569

Bonasora, M. G., M. T. Pozzobon, A. I. Honfi & G. H. Rua. 2015. Paspalum schesslii (Poaceae, Paspaleae), a new species from Mato Grosso (Brazil) with an unusual base chromosome number. Plant Systematics and Evolution 301: 2325-2339.

Burkart, S. E.; R. J. C. León, S. B. Perelman & M. Agnusdei. 1998. The grasslands of the flooding pampa (Argentina): Floristic heterogeneity of natural communities of the southern Rio Salado basin. Coenoses 13: 17-27.

Chaneton, E. J.; S. B. Perelman, M. Omacini & R. J. C. León. 2002. Grazing, Environmental Heterogeneity, and Alien Plant Invasions in Temperate Pampa grasslands. Biological Invasions 4: 7-24.

Chase, J. M. 2010. Stochastic community assembly causes higher biodiversity in more productive environments. Science 5984: 1388-1391.

Christodoulou, M. D.; J. Y. Clark & A. Culham. 2020. The Cinderella discipline: morphometrics and their use in botanical classification. Botanical Journal of the Linnean Society 194: 385-396.

Cué-Hernández, K. A., Gil-Muñoz, A., Aguirre-Jaimes, A., López P.A., & Rey Taboada-Gaytán, O. (2022). Floral visitors in the crop Phaseolus coccineus (Fabaceae) on the Altiplano of Puebla, Mexico: importance of agricultural management and flower color. Acta Botánica Mexicana 128: e1924. DOI: https://doi.org/10.21829/abm129.2022.2054

Digby, P. G. N. & R. A. Kempton. 1987. Population and Community Biology Series: Multivariate Analysis of Ecological Communities. Chapman and Hall, London.

Di Rienzo J. A.; F. Casanoves, M. G. Balzarini, L. Gonzalez, M. Tablada & C. W Robledo. InfoStat versión 2020. Centro de Transferencia InfoStat, FCA, Universidad Nacional de Córdoba, Argentina. https://www.infostat.com.ar

Ferrero, M. A.; A. B. Sassone, L. Giussani & A. S. Vega. 2020. Distribution models and morphometric analyses as additional tools for the study of diversification in Deyeuxia velutina, an Andean grass species. Darwiniana, nueva serie 8(2): 509-524. DOI: https://doi.org/10.14522/darwiniana.2020.82.894

Giussani, L. M.; E. G. Nicora & F. A. Roig. 2000. Poa durifolia and its relationship with the phenetic pattern of Poa section Dioicopoa (Poaceae). Darwiniana 38(1-2): 47-57. DOI: https://doi.org/10.14522/darwiniana.2000.381-2.161

Greenacre, M. 2013. The contributions of rare objects in correspondence analysis. Ecology 94: 241- 249.

Hill, M. O. & H. G. Gauch, Jr. 1980. Detrended Correspondence Analysis: an improved ordination technique. Vegetatio 42: 47-58.

Husson, F., S. Lê & J. Pagès. 2017. Exploratory Multivariate Analysis by Example Using R. 2nd edition. Chapman & Hall/CRC Computer Science & Data Analysis.

Jackson, D. A. & K. M. Somers. 1991. Putting things in order: the ups and downs of detrended correspondence analysis. American Naturalist 137: 704-712.

Kenkel, N. C.; D. A. Derksen, A. G. Thomas & P. Watson. 2002. Review: Multivariate analysis in weed science research. Weed Science 50: 281-292.

Lê, S.; J. Josse & F. Husson. 2008. FactoMineR: an R package for multivariate analysis. Journal of Statistical Software 25(1): 1-18.

Legendre, P. & L. Legendre. 2003. Numerical Ecology, 3rd English edition. Amsterdam: Elsevier, 853p.

MacQueen, J. B. 1967. Some methods for classification and analysis of multivariate observations. Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability 1: 281-297.

Nagahama, N.; A. M. Anton, M. I. Hidalgo & G. A. Norrmann, 2012. Naming hybrids in the Andropogon lateralis complex (Poaceae, Andropogoneae) after multivariate analyses. Darwiniana 50(1): 114-123. DOI: https://doi.org/10.14522/darwiniana.2012.501.436

Oksanen J. F.; G. Blanchet, M. Friendly, R. Kindt, P. Legendre, D. McGlinn, P. R. Minchin, R. B. O’Hara, G. L. Simpson, P. Solymos, M. H. H. Stevens, E. Szoecs & H. Wagner. 2018. Vegan: community ecology package. Paquete de R versión 2.5-3. https://CRAN.R-project.org/package=vegan

Palacio, F.; M. Apodaca & J. V. Crisci. 2020. Análisis multivariado para datos biológicos: Teoría y su aplicación utilizando el lenguaje R. Fundación Félix de Azara; pp. 265.

Perelman, S.; R. J. C. León & M. Oesterheld. 2001. Cross-scale vegetation patterns of Flooding Pampa grasslands. Journal of Ecology 89(4): 562-577.

Perelman, S. B.; S. E. Burkart & R. J. C. León. 2003a. The role of a native tussock-grass (Paspalum quadrifarium) in structuring plant communities in the Flooding Pampa grasslands, Argentina. Biodiversity and Conservation 12: 225-238.

Perelman, S. B.; M. A. Mazzella, J. Muschietti, T. Zhu & J. J. Casal. 2003b. Finding unexpected patterns in microarray data. Plant Physiology 133(4): 1717-1725.

Pillar, V. P. 2013. How accurate and powerful are randomization tests in multivariate analysis of variance? Community ecology 14(2): 153-163.

Puhl, L. E.; S. B. Perelman, W. B. Batista, S. E. Burkart & R. J. C. León. 2014. Local and regional long-term diversity changes and biotic homogenization in two temperate grasslands. Journal of Vegetation Science 25: 1278-1288.

R Core Team. 2018. R: a language and environment for statistical computing. https://www.r-project.org/

Uchida, K. & A. Ushimaru. 2015. Land abandonment and intensification diminish spatial and temporal beta-diversity of grassland plants and herbivorous insects within paddy terraces. Journal of Applied Ecology 52: 1033-1043.

Ulloa, W.; C. M. Baeza, V. L. Finot, A. Marticorena & E. Ruiz. 2011. Micromorfología de la lemma de los géneros Polypogon, x Agropogon y Agrostis (Poaceae) en Chile. Journal of the Botanical Research Institute of Texas 5(1): 237-253.

Uribbe, F. P.; B. Neves, S. S. A. Jacques & A. F. Costa. 2020. Morphological Variation in the Vriesea procera complex (Bromeliaceae, Tillandsioideae) in the Brazilian Atlantic Rainforest, with Recognition of New Taxa. Systematic Botany 45(1): 53-58.

Villalobos, N. I.; V. L. Finot, E. Ruiz, P. Peñailillo & G. Collado. 2019. Morphometric and taxonomic study of the native Chilean species of genus Anthoxanthum (Poaceae, Pooideae, Poeae, Anthoxanthinae). Darwiniana, nueva serie 7(1): 93-136. DOI: https://doi.org/10.14522/darwiniana.2019.71.822

Yansen, M. V. & F. Biganzoli. 2022. Las especies arbóreas exóticas en Argentina: caracterización e identificación de las especies actual y potencialmente problemáticas. Darwiniana, nueva serie 10(1): 80-97. DOI: https://doi.org/10.14522/darwiniana.2022.101.1001

Zapater, M. A.; P. S. Hoc, E. C. Lozano & S. S. Sühring, 2014. Delimitación de las especies argentinas del género Inga (Mimosoideae) mediante técnicas numéricas. Darwiniana, nueva serie 2(2): 248-259. DOI: https://doi.org/10.14522/darwiniana.2014.22.614

Zallocchi, E. M.; A. B. Pomilio & R. A. Palacios. 1992. Chemotaxonomical study of the subtribe Phaseolinae (Phaseoleae-Papilionoideae-Leguminosae) I: Chromatography of flavonoids from argentinian species of the genus Macroptilium, Darwiniana 31: 299-313.

Zimmerman, G. M.; H. Goetz & P.W. Mielke Jr. 1985. Use of an improved statistical method for group comparisons to study effects of prairie fire. Ecology 66: 606-611.

Multivariado

Published

31-07-2023

How to Cite

Perelman, S. B., & Puhl, L. E. (2023). Multivariate approach in botany and ecology. Darwiniana, Nueva Serie, 11(1), 272–294. https://doi.org/10.14522/darwiniana.2023.111.1086

Issue

Section

Invited Articles

Similar Articles

You may also start an advanced similarity search for this article.