$β$-diversity and Graph Sheaf Laplacians

Fuente: arXiv
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Autori principali: Davidson, Peter, Grinfeld, Michael
Natura: Preprint
Pubblicazione: 2026
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author Davidson, Peter
Grinfeld, Michael
author_facet Davidson, Peter
Grinfeld, Michael
contents We suggest a new approach to $β$-diversity in ecological systems, based on the energy of the graph sheaf Laplacian associated with the sample data. This scalar quantity is easily computable using methods of linear algebra. We show using simple examples that the energy is much more informative than the generally accepted definitions of $β$-diversity
format Preprint
id arxiv_https___arxiv_org_abs_2601_17466
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle $β$-diversity and Graph Sheaf Laplacians
Davidson, Peter
Grinfeld, Michael
Populations and Evolution
We suggest a new approach to $β$-diversity in ecological systems, based on the energy of the graph sheaf Laplacian associated with the sample data. This scalar quantity is easily computable using methods of linear algebra. We show using simple examples that the energy is much more informative than the generally accepted definitions of $β$-diversity
title $β$-diversity and Graph Sheaf Laplacians
topic Populations and Evolution
url https://arxiv.org/abs/2601.17466