@article {32,
	title = {Mean and Variance of Phylogenetic Trees},
	journal = {Systematic Biology},
	volume = {69},
	year = {2020},
	month = {01/2020},
	chapter = {139{\textendash}54},
	abstract = {<p>We describe the use of the Fr{\'e}chet mean and variance in the Billera\&ndash;Holmes\&ndash;Vogtmann (BHV) treespace to summarize and explore the diversity of a set of phylogenetic trees. We show that the Fr{\'e}chet mean is comparable to other summary methods, and, despite its stickiness property, is more likely to be binary than the majority-rule consensus tree. We show that the Fr{\'e}chet variance is faster and more precise than commonly used variance measures. The Fr{\'e}chet mean and variance are more theoretically justified, and more robust, than previous estimates of this type and can be estimated reasonably efficiently, providing a foundation for building more advanced statistical methods and leading to applications such as mean hypothesis testing and outlier detection.</p>
},
	doi = {https://doi.org/10.1093/sysbio/syz041},
	url = {https://academic.oup.com/sysbio/article/69/1/139/5511414},
	author = {D.G. Brown and M. Owen}
}
