Comparison between similarity coefficients with application in forest sciences

Authors

DOI:

https://doi.org/10.33448/rsd-v11i2.26046

Keywords:

Clustering analysis; (Dis)similarity coefficient; Validation.

Abstract

The multivariate statistic has been used in divergence studies concerning plants species. Analysis of the similarity or distance among individuals is an important tool for population. This among aims to present the main show the main coefficients of similarity and dissimilarity and their properties and the importance of axioms for the complement of similarity for the methods in cluster analysis. We evaluated the changes caused by five different similarity coefficients in the group of 11 plots and 17 species. We tested the coefficients of Jaccard, Sorensen-Dice, Simple Agreement, Russel e Rao e Rogers e Tanimoto comparisons being made ​​between them by cophenetic correlations, Rand, adjusted Rand and stress between the distances obtained by the addition of these coefficients, and also by means of dendrograms (visual inspection), projection efficiency in a two-dimensional space and groups formed by the method of average linkage. The results showed that the use of different similarity coefficients caused few changes in the grouping of installments in groups, and the validation obtained between similar plots. Even though few changes in the structure of most different groups, these coefficients changed some relationships between plots with high similarity.

Author Biography

Mácio Augusto de Albuquerque, Universidade Estadual da Paraíba

Departamento de Estatística

Bioestatística

Probabilidade

Multivariada

Análise de Agrupamento

References

Albuquerque, M. A., Barros, K. N. N. O., Gouveia, J. F., & Ferreira, R. L. C. (2016). Determination and validation of group numbers in a cluster analysis: A case study applied to forestry science. Acta Scientiarum. Technology, 38(3), 339-344.

Albuquerque, M. A. D., Ferreira, R. L. C., Silva, J. A. A. D., Santos, E. D. S., Stosic, B., & Souza, A. L. D. (2006). Estabilidade em análise de agrupamento: estudo de caso em ciência florestal. Revista árvore, 30, 257-265.

Barros, K. N. N., de Albuquerque, M. A., dos Santos Gomes, A., & Dantas, D. R. G. (2020). Análise de agrupamentos exploratória dos usuários do Programa Multidisciplinar de Tratamento do Tabagismo do HUAC, Campina Grande–PB. Research, Society and Development, 9(8), e825986532-e825986532.

Gower, J. C., & Legendre, P. (1986). Metric and Euclidean properties of dissimilarity coefficients. Journal of classification, 3(1), 5-48.

Hamann, U. The principal components of scalable attitudes. In P. F. Lazarsfeld (Ed.), (1961). Mathematical Thinking in the Social Sciences.Glencoe: free Press. 216-257.

Jaccard, P. (1901). Étude comparative de la distribution florale dans une portion des Alpes et des Jura. Bull Soc Vaudoise Sci Nat, 37, 547-579.

Gordeev, S. Y., & Gordeeva, T. V. (2021, November). Species of Orthosia Ochsenheimer, 1816 and Anorthoa Berio, 1980 genera (Lepidoptera, Noctuidae) in Western Transbaikalia. In IOP Conference Series: Earth and Environmental Science (Vol. 908, No. 1, p. 012015). IOP Publishing.

Ochiai,( 1957). A. Zoographic studies on the soleoid fishes found in Japan and its neighboring regions. Bulletin of the Japanese Society of Scientific Fisheries, v.22: 526-530.

McConnaughey, B. H. (1964). The determination and analysis of plankton communities. Lembaga Penelitian Laut..

Meyer, A. D. S., Garcia, A. A. F., Souza, A. P. D., & Souza Jr, C. L. D. (2004). Comparison of similarity coefficients used for cluster analysis with dominant markers in maize (Zea mays L). Genetics and Molecular Biology, 27(1), 83-91.

Mulvey, J. M., & Crowder, H. P. (1979). Cluster analysis: An application of Lagrangian relaxation. Management Science, 25(4), 329-340.

Russell, P. F., & Rao, T. R. (1940). On habitat and association of species of anopheline larvae in south-eastern Madras. Journal of the Malaria Institute of India, 3(1).

Souza, A. L. D., & Souza, D. R. D. (2006). Análise multivariada para estratificação volumétrica de uma floresta ombrófila densa de terra firme, Amazônia Oriental. Revista Árvore, 30, 49-54.

Sneath, P. H., & Sokal, R. R. (1973). Numerical taxonomy. The principles and practice of numerical classification.

Sokal, R. R. (1958). A statistical method for evaluating systematic relationships. Univ. Kansas, Sci. Bull., 38, 1409-1438.

Sorensen T. A. (1948). method of establishing groups of equal amplitude in plant sociology based on similarity of species content and its application to analyses of the vegetation on Danish commons. Vidensk Selsk Biol Skr 5:1-34.

Watson, D. H., Shedden, W. I. H., Elliot, A., Tetsuka, T., Wildy, P., Bourgaux-Ramoisy, D., & Gold, E. (1966). Virus specific antigens in mammalian cells infected with herpes simplex virus. Immunology, 11(4).

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Published

03/02/2022

How to Cite

ALBUQUERQUE, M. A. de; NASCIMENTO, E. R. do .; BARROS, K. N. N. de O. .; BARROS, P. S. N. . Comparison between similarity coefficients with application in forest sciences. Research, Society and Development, [S. l.], v. 11, n. 2, p. e48511226046, 2022. DOI: 10.33448/rsd-v11i2.26046. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/26046. Acesso em: 14 nov. 2024.

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Section

Exact and Earth Sciences