A Formal Analysis of Phylogenetic Terminology: Towards a Reconsideration of the Current Paradigm in Systematics
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Aubert, D. 2015. A formal analysis of phylogenetic terminology: Towards a reconsideration of the current paradigm in systematics. Phytoneuron 2015-66: 1–54. Published 9 December 2015. ISSN 2153 733X A FORMAL ANALYSIS OF PHYLOGENETIC TERMINOLOGY: TOWARDS A RECONSIDERATION OF THE CURRENT PARADIGM IN SYSTEMATICS DAMIEN AUBERT Ministère de l’Éducation Nationale, Académie de Clermont-Ferrand Rectorat 3 Avenue Vercingétorix 63033 Clermont-Ferrand cedex 1 France [email protected] ABSTRACT BACKGROUND: For too many years the practice of systematics has been impeded by profound disagreements about the very foundations of this discipline, that is to say the type of information that should or should not be incorporated into a proper classification of life. Two main schools of systematics, both recognizing evolution, oppose each other: cladism states that the classification should only reflect the branching order of the lineages on the tree of life whereas evolutionism states that the length of the branches, that is the degree of modification, should also be taken into account so as to reflect macroevolutionary leaps. The first one forbids the exclusion of any descendant from a group that contain its ancestors, while the second one explicitly requires that the descendants too much different from their ancestors must be classified separately. Moreover, both schools often use the same words, such as “monophyly,” to designate different ideas. This prevents proper communication between the proponents of either side. Consequently, the research in phylogenetics is globally erratic and the taxonomic classification is highly unstable. RESULTS: I rigorously define the terms which designate the phyletic relationships and explore their properties through use of graph theory. I criticize a similar work (Kwok 2011) that was unable to properly catch these notions. This leads me to provide three independent arguments –– one historical, one utilitarian, and one morphosemantic –– in order to retain the original Haeckelian meaning of the term “monophyly” rather than the redefined Hennigian one. I identify some polysemy regarding the term “clade,” and that is why I define two new words, “holoclady” and “heteroclady,” to contrast respectively with “holophyly” and “heterophyly.” I also show that a strictly holocladic or holophyletic classification advocated by cladists is formally impossible. I therefore review and criticize the philosophical postulates subtending such an illogical paradigm. I show that cladism is part of a more general philosophical movement named structuralism, which is mainly characterized by anti-realism and a metaphysical way of thinking. I identify the biologically unrealistic assumptions on which cladism is based and argue that they have been empirically falsified. I therefore defend the use of paraphyletic groups in the scientific classification of life and review the main arguments that have been opposed to this solution. Some of them, such as anthropocentrism or the lack of an objective manner to determine paraphyletic groups, are grossly outdated, while others simply rest upon the difficulty in conceptualizing emergent phenomena. CONCLUSION: Since clades are still useful for methodological reasons, I offer a compromise that should make possible the coexistence of the two main opposing schools of systematics by eliminating competition between clades and taxa for the same names. I propose therefore that in a future revision, the BioCode should approve a dual system by recognizing both a “phyletic arrangement” made of clades and a “phylogenetic classification” made of taxa. Aubert: Formal analysis of phylogenetic terminology 2 “We often discussed his notions on objective reality. I recall that during one walk Einstein suddenly stopped, turned to me and asked whether I really believed that the moon exists only when I look at it.” (Pais 1979) CONTENT Introduction ............................................................................................................................................ 2 1. Genealogical Networks ...................................................................................................................... 3 2. Common Ancestors and Monophyly ................................................................................................. 6 3. Ancestral Groups and Monophyletic Unions ................................................................................... 10 4. Concepts Derived from Monophyly ................................................................................................ 12 5. Partitioning the Different Types of Groups ..................................................................................... 14 6. Phylogeny and Phylogenetic Classification ..................................................................................... 17 7. Notion of Clade ................................................................................................................................ 19 8. Cladograms, Cladification and Cladonomy ..................................................................................... 26 9. Establishment of the Current Paradigm ........................................................................................... 30 10. Analysis of the Cladist Doctrine .................................................................................................... 33 10.1. Structuralist Influence ............................................................................................................. 33 10.2. Paraphyletic Species ............................................................................................................... 34 10.3. Virtual Ancestors .................................................................................................................... 35 10.4. Uniformitarianism and Punctualism ....................................................................................... 35 10.5. Idealist Drift ............................................................................................................................ 37 10.6. Pitfall of Nominalism .............................................................................................................. 38 10.7. Evolutionist Solution .............................................................................................................. 39 Conclusion ........................................................................................................................................... 42 Acknowledgments ................................................................................................................................ 44 Annexe: Mathematical Proofs .............................................................................................................. 44 Literature cited ..................................................................................................................................... 50 INTRODUCTION Systematics has been marked for many decades by vigorous methodological debates concerning the classification of life, especially regarding the status of paraphyletic groups (Mayr 1974; Hennig 1975). These debates have annoyingly never reached a true consensus (Mayr & Bock 2002; Goldenfeld & Woese 2007). These disputes about the topological properties of taxa were interspersed with major terminological controversies (Ashlock 1971; Nelson 1971; Ashlock 1972; Nelson 1973) which plagued the discussions, even today blurring practice and progress in this discipline (Brummitt 1997; Cavalier-Smith 1998; Mayr 1998; Woese 1998; Ghiselin 2004; Brummitt 2006; Hörandl 2007; Podani 2010b; Zander 2011; Schmidt-Lebuhn 2012; Schmidt-Lebuhn 2014; Stuessy & Hörandl 2014; Brummitt 2014). Although both opposing sides have firmly stood their ground over the years, one quickly took the ascendancy over the other in both practice (Dumoulin & Ollivier 2013) and teaching (Lecointre et al. 2008) of systematics throughout the world. This relatively recent paradigm, which is called “cladism”, insists on the purely “genealogical” pattern that a natural classification of living things must have. According to it, taxa must be delimited through a unique formal principle: the inclusion of all descendants of the last common ancestor of its members (Hennig 1966). Cladism probably owes its success in part to the attractiveness of this imperative which is supposed to facilitate the decision making process and free the classification of life from all forms of subjectivity (Hennig 1966; Hennig 1975; Schmidt-Lebuhn 2012). Cladism unfortunately appeared in conjunction with a new method of resolving phyletic relationships: cladistics (Hennig 1950; Hennig 1966). Always presenting themselves as inseparably linked to each other, up to using the same word of “cladistics” to refer to one or the other (Ashlock 1974; Mayr 1974; Hennig 1975), cladism directly benefited from Aubert: Formal analysis of phylogenetic terminology 3 the popularity and effectiveness of this method. The opposing position, evolutionism, has therefore been described as “traditional” or “classical” to emphasize its purported obsolescence. Rejecting cladism would therefore be a synonym of rejecting cladistics, and therefore rejecting progress (Hennig 1975). This claim does not give a faithful image of modern evolutionary systematics which has fully integrated the contributions of cladistics and of subsequent molecular phylogenetic techniques to give birth to many fertile theories