Trait-dependent extinction leads to greater expected biodiversity loss

SIAM Journal on Discrete Mathematics

Volumn 26, Issue 2, 2012, Pages 472-481

  Faller, Beáta ^a   Steel, Mike ^b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b UNIVERSITY OF CANTERBURY   (New Zealand)

Author keywords

Ahlswede Daykin inequality; Fortuin Kasteleyn Ginibre inequality; Lattice; Markov process; Phylogenetic diversity; Tree

Indexed keywords

AHLSWEDE-DAYKIN INEQUALITY; FORTUIN-KASTELEYN-GINIBRE INEQUALITY; LATTICE; PHYLOGENETIC DIVERSITY; TREE;

BINARY TREES; BIODIVERSITY; FORESTRY;

MARKOV PROCESSES;

BIODIVERSITY; FORESTRY; TREES;

EID: 84865652740     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/090776743     Document Type: Article

References (18)

1. R. Ahlswede and V. Blinovsky, Lectures on Advances in Combinatorics, Springer-Verlag, Berlin, 2008.
2. J. T. Chang, Full reconstruction of Markov models on evolutionary trees: Identifiability and consistency, Math. Biosci., 137 (1996), pp. 51-73.
3. D. P. Faith, Conservation evaluation and phylogenetic diversity, Biol. Conserv., 61 (1992), pp. 1-10.
4. B. Faller, F. Pardi, and M. Steel, Distribution of phylogenetic diversity under random extinction, J. Theoret. Biol., 251 (2008), pp. 286-296.
5. J. Felsenstein, Inferring Phylogenies, Sinauer Press, Victoria, Australia, 2003.
6. R. G. FitzJohn, W. P. Maddison, and S. P. Otto, Estimating trait-dependent speciation and extinction rates from incompletely resolved phylogenies, Syst. Biol., 58 (2009), pp. 595-611.
7. C. M. Fortuin, P. W. Kasteleyn, and J. Ginibre, Correlation inequalities on some partially ordered sets, Commun. Math. Phys., 22 (1971), pp. 89-103.
8. S. B. Heard and A. O. Mooers, Phylogenetically patterned speciation rates and extinction risks change the loss of evolutionary history during extinctions, Proc. R. Soc. Lond. B, 267 (2000), pp. 613-620.
9. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, UK, 1994. Corrected reprint of the 1991 original.
10. T. Ingram and M. Steel, Modelling the unpredictability of biodiversity in ecological networks, J. Theoret. Biol., 264 (2010), pp. 1047-1056.
11. W. P. Maddison, P. E. Midford, and S. P. Otto, Estimating a binary character's effect on speciation and extinction, Syst. Biol., 56 (2007), pp. 701-710.
12. V. Moulton, C. Semple, and M. Steel, Optimizing phylogenetic diversity under constraints, J. Theoret. Biol., 246 (2007), pp. 186-194.
13. S. Nee and R. M. May, Extinction and the loss of evolutionary history, Science, 278 (1997), pp. 692-694.
14. D. M. Raup, Extinction: Bad Genes or Bad Luck? W. W. Norton & Company, New York, 1992.
15. C. Semple and M. Steel, Phylogenetics, Oxford University Press, Oxford, UK, 2003.
16. H. Simianer, Accounting for non-independence of extinction probabilities in the derivation of conservation priorities based on Weitzman's diversity concept, Conserv. Genet., 9 (2008), pp. 171-179.
17. M. Steel, Recovering a tree from the leaf colourations it generates under a Markov model, Appl. Math. Lett., 7 (1994), pp. 19-23.
18. M. Steel and B. Faller, Markovian log-supermodularity, and its applications in phylogenetics, Appl. Math. Lett., 22 (2009), pp. 1140-1144.