Tuesday, October 20, 2020

Canonical Model for Taxonomy Based on Partition of Integers

 

Post #2

Canonical Model for Taxonomy Based on Partition of Integers

Donald A. Windsor

The canonical model for taxonomic patterns is non-probabilistic. It always produces the same patterns because it is an inherent property of our system of numbers. It is based on the partition of integers.

The full details were published in August (1), however, it is too long for a blog. It can be obtained by by clicking this link.

https://www.researchgate.net/publication/343524698_Canonical_model_for_taxonomy_based_on_partition_of_integers

If this link does not work, contact me at windsorda@roadrunner.com and I will email a copy to you as an attachment.

References cited:

1. Windsor, Donald A. Canonical model for taxonomy based on partition of integers. SciAesthetics Essays 2020 August: 1-19. DOI:10.13140/RG.2.2.30563.99362



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Friday, October 16, 2020

 

Post #1

Taxonomic Patterns

Donald A. Windsor

Taxonomic patterns are graphic depictions of 3-tiered nested sets in which the middle sets are represented by the number of their subsets.

        Superset Set Subset

In biology, a taxonomic pattern is: Family Genus Species

In bibliographies, a taxonomic pattern is: Author Journal Articles

In geography, a taxonomic pattern is: Nation State Counties

In poetry, a taxonomic pattern is: Poem Word Frequencies

Here is an example from biology. A taxonomic pattern represents every genus in a family as the number of species it contains, with the numbers ranked from the highest to the least and similar numbers placed in the same row extending to the right.

Shown below is the taxonomic pattern for the bird family Threskiornithidae (Ibises, Spoonbills) that has 33 species in 14 genera, 8 of which have multiple species and 6 of which have only 1 species (Monroe & Sibley, page 131).

    5

    4 4 4

    3 3

    2 2

    1 1 1 1 1 1

My first published article on taxonomic patterns explains them in detail. However, it is too long for a blog. It can be obtained by searching its DOI or by clicking this link.

https://www.researchgate.net/publication/342535123_Distribution_of_Species_among_Genera_in_Taxonomic_Families

If this link does not work, contact me at windsorda@roadrunner.com and I will email a copy to you as an attachment.

References cited:

Monroe, Burt L., Jr. ; Sibley, Charles G. A World Checklist of Birds. New Haven, CT: Yale University Press. 1993. 394 pages.

Windsor, Donald A. Distribution of species among genera in taxonomic families. SciAesthetics Essays 2020 July: 1-8. DOI: 10.13140/RG.2.2.16192.35847

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