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tree rearrangement : ウィキペディア英語版
tree rearrangement
Tree rearrangements are used in heuristic algorithms devoted to searching for an optimal tree structure. They can be applied to any set of data that are naturally arranged into a tree, but have most applications in computational phylogenetics, especially in maximum parsimony and maximum likelihood searches of phylogenetic trees, which seek to identify one among many possible trees that best explains the evolutionary history of a particular gene or species.
==Basic tree rearrangements==

Image:NNI.svg|Nearest neighbor interchange (NNI)
Image:SPR.svg|Subtree pruning and regrafting (SPR)
Image:TBR.svg|Tree bisection and reconnection (TBR)

The simplest tree-rearrangement, known as nearest-neighbor interchange, exchanges the connectivity of four subtrees within the main tree. Because there are three possible ways of connecting four subtrees,〔Felsenstein J. (2004). ''Inferring Phylogenies'' Sinauer Associates: Sunderland, MA.〕 and one is the original connectivity, each interchange creates two new trees. Exhaustively searching the possible nearest-neighbors for each possible set of subtrees is the slowest but most optimizing way of performing this search. An alternative, more wide-ranging search, subtree pruning and regrafting (SPR), selects and removes a subtree from the main tree and reinserts it elsewhere on the main tree to create a new node. Finally, tree bisection and reconnection (TBR) detaches a subtree from the main tree at an interior node and then attempts all possible connections between branches of the two trees thus created. The increasing complexity of the tree rearrangement technique correlates with increasing computational time required for the search, although not necessarily with their performance.〔Takahashi K, Nei M. (2000). Efficiencies of fast algorithms of phylogenetic inference under the criteria of maximum parsimony, minimum evolution, and maximum likelihood when a large number of sequences are used. ''Mol Biol Evol'' 17(8):1251-8.〕

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