Cophenetic metrics for phylogenetic trees, after Sokal and Rohlf

Correlation between metrics over phylogenetic trees with 100 leaves (Simulation)

Non-necessary binary phylogenetic trees

Spearman's correlation between cophenetic, nodal and RF metrics.

 Cophenetic p=1Cophenetic p=2Nodalsp p=1Nodalsp p=2RF
Coph p=11.00.9871842136810.7317553026840.7539184300410.0915564172216
Coph p=2 1.00.7800304043180.8034231268740.0883895521784
Nsp p=1  1.00.9909443382790.132030406364
Nsp p=2   1.00.118336282301
RF    1.0


2D histograms. A darker squeare means that there are more trees with that relationship.

 Cophenetic p=2Nodalsp p=1Nodalsp p=2RF
Coph p=1
Coph p=2 
Nsp p=1  
Nsp p=2   

Binary phylogenetic trees

Spearman's correlation between cophenetic, nodal and RF metrics.

 Cophenetic p=1Cophenetic p=2Nodalsp p=1Nodalsp p=2Nodalunsp p=1Nodalunsp p=2RF
Coph p=11.00.986932902640.7357607607740.7640010738820.4471392843250.448265406888-0.000800350922793
Coph p=2 1.00.7862390717880.8155718407950.5133064588210.5143628949790.00328065497692
Nsp p=1  1.00.9897865907530.834543852260.8333005319310.021278127515
Nsp p=2   1.00.8041239951690.8057056740730.0194132768584
Nunsp p=1    1.00.9984784929490.0126432620494
Nunsp p=2     1.00.0123911767917
RF      1.0


2D histograms. A darker squeare means that there are more trees with that relationship.

 Cophenetic p=2Nodalsp p=1Nodalsp p=2Nodalunsp p=1Nodalunsp p=2RF
Coph p=1
Coph p=2 
Nsp p=1  
Nsp p=2   
Nunsp p=1    
Nunsp p=2