@misc{indiciae635b6050ca6e, title = {Mathematical Foundations of Beta Diversity: Why Common Metrics Fail in Microbiome Analysis}, author = {Zhu, Z. and Zhang, Y. and Li, W. and Greenacre, M. and Satabdi, S. and Shi, Y. and Zhang, L.}, year = {2025}, doi = {10.1101/2025.08.14.670326}, url = {https://www.biorxiv.org/content/10.1101/2025.08.14.670326v1}, note = {Source identifier: 10.1101/2025.08.14.670326} }