Phylogeny and classification of the tribe Hydaticini (Coleoptera: Dytiscidae): partition choice for Bayesian analysis with multiple nuclear and mitochondrial protein-coding genes Blackwell Publishing Ltd KELLY B. MILLER, JOHANNES BERGSTEN & MICHAEL F. WHITING Submitted: 28 August 2008 Accepted: 11 March 2009 doi:10.1111/j.1463-6409.2009.00393.x Miller, K. B., Bergsten, J. & Whiting M. F. (2009). Phylogeny and classification of the tribe Hydaticini (Coleoptera: Dytiscidae): partition choice for Bayesian analysis with multiple nuclear and mitochondrial protein-coding genes. — Zoologica Scripta **, ****–****. A phylogenetic analysis of the diving beetle tribe Hydaticini Sharp (Coleoptera: Dytiscidae: Dytiscinae) is presented based on data from adult morphology, two nuclear (histone III and wingless) and two mitochondrial (cytochrome c oxidase I and II) protein-coding genes. We explore how to best partition a data set of multiple nuclear and mitochondrial protein-coding genes by using Bayes factor and a penalized modification of Bayes Factor. Ten biologically relevant partitioning strategies were identified ranging from all DNA analysed under a single model to each codon position of each gene treated with a separate model. Model selection criteria AIC, AICc, BIC and four ways of traversing parameter space in a hierarchical likelihood ratio test were applied to each partition. All unique partitioning and model combinations were analysed with Bayesian methods. Results show that partitioning by codon position and genome source (nuclear vs. mitochondrial) is strongly favoured over partitioning by gene. We also find evidence that Bayes Factor can penalize overparameterization even when comparing nested models. Species groups showing a strong geographical pattern were generally highly supported, however, the sister group relationship of an isolated Madagascan and Australian species were shown to be artefactual with a long-branch extraction test. The following conclusions were supported in both the selected method of partitioning the Bayesian analysis and combined parsimony analyses: (i) the tribe Hydaticini is monophyletic (ii) the genus Hydaticus Leach is paraphyletic with respect to Prodaticus Sharp (iii) the subgenus Hydaticus (Hydaticus) is monophyletic, and (iv) the subgenus H. (Guignotites) Brinck is paraphyletic with respect to Prodaticus and the subgenera H. (Pleurodytes) Régimbart and H. (Hydaticinus) Guignot. Based on these results, Hydaticus and Prodaticus are each recognized as valid genera and Guignotites, Hydaticinus and Pleurodytes are each placed as junior synonyms of Prodaticus (new synonymies). Corresponding author: Kelly B. Miller, Department of Biology and Museum of Southwestern Biology, University of New Mexico, Albuquerque, NM 87131, USA. E-mail: kbmiller@unm.edu Johannes Bergsten, Department of Entomology, Swedish Museum of Natural History, Box 50007, SE-104 05 Stockholm, Sweden. E-mail: johannes.bergsten@nrm.se Michael F. Whiting, Department of Biology, Brigham Young University Provo, UT 84602, USA. E-mail: michael_whiting@byu.edu Introduction Throughout much of the world, members of the tribe Hydaticini Sharp are conspicuous and important components of the aquatic beetle fauna. The members of this group are medium to large in size (8.5–20.5 mm) and are often abundant and species rich in many regions. Most are tropical or subtropical, but there are also numerous temperate species. They are among the most attractively coloured of all diving beetles with many species characterized by spots, fasciae or stripes (e.g. Figs 1–6). Most species occur in ponds with dense vegetation, but many occur also in areas with mineral substrates, and some prefer slow lotic habitats. Hydaticini are characterized by several synapomorphies including; (i) the anterolateral margin of the metasternal wing linear (Fig. 7) (convex in other diving beetles, e.g. Fig. 8) (ii) males with an apparent stridulatory device comprised of a series of modified setae (pegs) along the apicodorsal margin © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 1 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Figs 1–6 Hydaticini species, habitus. 1, H. modestus. 2–3, H. dineutoides; 2, dorsal habitus; 3, ventral surface of thorax and abdomen. 4, H. bivittatus. 5, H. modestus. 6, H. speciosus. bar = 1.0 mm. of the protibia and a field of pits on the dorsal surface of the probasotarsus (Fig. 10) (apparatus absent in a few species), and (iii) the anterior margin of the larval prementum bilobed. The tribe is part of the subfamily Dytiscinae, and is closely related to three other tribes, Aubehydrini, Eretini and Aciliini, though relationships among these groups are not firmly established (Miller 2000, 2001, 2003). One analysis by Miller (2003) suggested that the tribe may not be mono2 phyletic, with Aciliini and Eretini nested within Hydaticini, though this was not strongly supported. Another analysis based only on 18S rRNA data by Ribera et al. (2002) found Notaticus Zimmermann (Aubehydrini) and Hyderodes Hope (Hyderodini) nested within Hydaticini. The group as a whole has not been revised since Sharp’s (1882) monograph, but there are regional revisions for North America (Roughley & Pengelly 1981), South America Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice Figs 7–11 Aubehydrini and Hydaticini species. 7–8, metasternum and metacoxae, lines indicate anterolateral margins of metasternal wing; 7, H. aruspex; 8, N. fasciatus. 9, H. aruspex, left metatrochanter, metafemur and metatibia. 10, H. aruspex, profemur, protibia, and protarsus, lines indicate reticulations and short spines associated with stridulatory device. 11, H. dorsiger, protarsus, line indicates accessory spinous setae on dorsal surface of protarsomere I (reticulations on protarsomere II not shown). Bar =1.0 mm. (Trémouilles 1994), Australia (Watts 1978), Africa (Guignot 1961), India (Vazirani 1968), northern Europe (Nilsson 1981), and the main portion of Europe and Asia (Galewski 1985; Zaitzev 1953; Zimmermann & Gschwendtner 1937). A few species groups have also been revised (Vazirani 1969; Wewalka 1975, 1979). Considerable species-level work remains to be done, and the group is in need of a comprehensive revision. Hydaticini has a long history of consistent recognition since Sharp (1882) erected it to include two genera, Hydaticus Leach and Prodaticus Sharp. An exception is Balfour-Browne’s (1950) placement of Hydaticus in the subtribe Hydaticina of Dytiscini. Prodaticus includes two species, P. pictus Sharp from the Middle East and India, and P. africanus Rocchi, from northern Africa. They are characterized by equal-length metatarsal claws and a large number of small adhesive discs on the expanded male pro- and mesotarsomeres. The series of bifid setae on the posterior surface of the metatibia is in an irregular line parallel to the dorsal margin of the tibia. Hydaticus Leach, a much larger genus with over 130 species (Nilsson 2001), has been divided into four subgenera (Nilsson 2001). Hydaticus (Pleurodytes) Régimbart was originally described at the genus rank, but was placed as a subgenus of Hydaticus by Roughley & Pengelly (1981). This taxon includes two species, H. (P) dineutoides Sharp from Malaysia and H. (P) epipleuricus Régimbart from Burma. These two species are characterized by wide elytral epipleurae (Fig. 3), flattened apicolateral margins of the elytra, and uniformly black colouration dorsally © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 3 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Figs 12–19 Hydaticini species. 12–14, left metatibia, posterior aspect; 12, H. aruspex; 13, H. xanthomelas; 14, H. flavolineatus. 15–16, left mesofemur, posterior aspect; 15, H. aruspex; 16, H. flavolineatus. 17–18, right mesotarsus, ventral aspect, line indicates brush of setae on mesotarsomere I; 17, H. aruspex; 18, H. luczonicus. 19, H. fabricii, apex of male median lobe, right lateral aspect. bar = 1.0 mm except Fig. 19 bar = 0.25 mm. (Fig. 2). Hydaticus (Hydaticinus) Guignot is based on a single Neotropical species, H. xanthomelas (Brullé), known from lowland South America. This species lacks fine punctation on the anterior surfaces of the metafemur and metatibiae and the posterior metatibial bifid setae are in a long series parallel to the dorsal margin of the metatibia (Fig. 13). Hydaticus (Hydaticus) is Holarctic and includes seven species (two in the Nearctic region, four in the Palaearctic and a single Holarctic species). The subgenus is characterized by the anterior surface of the metatibia with large punctures interspersed with many small punctures, the metafemora with the anterior surface with dense punctation in two sizes (Fig. 9), and the series of bifid setae on the posterior surface of the metatibia in a series that is straight and parallel to the dorsal margin (Fig. 12). The subgenus H. (Guignotites) Brinck is the largest genusgroup in the tribe with nearly 130 species (Nilsson 2001). Its 4 members lack fine punctation on the anterior surfaces of the metafemur and metatibiae and the posterior metatibial bifid setae are in a series that curves ventrad basally and is not parallel with the anterior margin (Fig. 14). This group is largely circumtropical with a few species extending ranges north into the Holarctic region. A comprehensive phylogenetic analysis has not been previously proposed for this taxon. An analysis by Roughley & Pengelly (1981) presented a number of characters of potential use for elucidating the phylogeny, but the included taxa were only a limited representation of the world fauna. The monophyly of the several genus groups in the tribe have not been adequately tested. A phylogenetic analysis would not only serve to improve the classification of the tribe, but it would allow tests of the evolution of several character systems such as those associated with sexual conflict (Miller 2003), an apparent sexual acoustic signalling device present in males Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice (Fig. 10, Larson & Pritchard 1974), and a wide variety of colour patterns (e.g. Larson 1996). This project seeks to establish a phylogenetic hypothesis and an improved classification for future investigation of various aspects of the biology of this tribe. A second goal of this project is to explore issues related to partitioning data in model based, total evidence approaches to phylogenetic analysis. Model based phylogenetic inference is increasingly used with molecular data, and recently it has become possible to combine molecular and morphological data in a Bayesian total evidence approach (Lewis 2001; Nylander et al. 2004). Although methods are in development to eliminate the model choice step (e.g. reversible jump Markov Chain Monte Carlo (Huelsenbeck et al. 2004; Alfaro & Huelsenbeck 2006), not yet available for nucleotide models in MRBAYES), in practice, most model-based approaches still require the a priori choice of an appropriate model, and for this various criteria have been suggested (Sullivan & Joyce 2005; Kelchner & Thomas 2006). The most commonly used are likelihood ratio tests of nested models such as those implemented in MODELTEST (Posada & Crandall 1998). Alternatives include the Akaike Information Criterion (AIC) (Posada & Buckley 2004), the Bayesian Information Criterion (BIC) (Posada & Buckley 2004), Bayes Factor (Nylander et al. 2004) and Decision Theory approaches (Minin et al. 2003; Abdo et al. 2005). In addition to the model choice criteria, the pool of candidate models from which to choose varies. Whereas Modeltest chooses from a pool of 56 models, only 24 of these can be implemented in (for example) MRBAYES, but these still only constitute 8 of the 203 possible time-reversible substitution rate models (Huelsenbeck et al. 2004). In other words, there is a plethora of nonsimple considerations in justifying choice of a model a priori. Problems are increasing as supermatrices with multiple genes are becoming standard and another less explored consideration becomes necessary, the appropriate partitioning of data. Many studies force a single substitution model onto multiple genes, but the hazard of this is well-known since the resulting ‘compromise’ model parameters may be inappropriate for particular genes or partitions and in a Bayesian context can result in either inflated or deflated posterior probability values (Brown & Lemmon 2007). A few studies have begun to explore the effect of partition choice and the use of Bayes Factor (BF) to select the most appropriate partitioning (Castoe et al. 2004; Nylander et al. 2004; Brandley et al. 2005; Castoe et al. 2005; Castoe & Parkinson 2006). These have shown that, whereas in theory, Bayes Factor should be able to penalize overparameterization, in practice nested model comparisons always prefer the most parameter rich model with ‘very strong support.’ This led Brandley et al. (2005) to question the scale of interpretation of the Bayes Factor for use in phylogenetics. Latrillot & Philippe (2006) gave a plau- sible explanation for this and suggested the harmonic mean estimator (HME) of the marginal likelihood as the source of error. The HME as estimated by the Markov Chain Monte Carlo (MCMC) sample grossly underestimates the dimensional penalty by its biased sampling towards high-likelihood regions and therefore overestimates the marginal likelihood. Furthermore, this bias is predicted to be more pronounced in higher-dimensional models, which could explain why Bayes Factor does not seem to penalize overparameterization appropriately (Latrillot & Philippe 2006). McGuire et al. (2007) therefore used the alternative Bayesian Information Criterion (BIC) and decision-theoretic methodology (DT), with stronger penalties for overparameterization, to select partitioning strategy. However, Bayes Factor was recently given new credibility for use in Bayesian phylogenetics and data partitioning from a simulation study by Brown & Lemmon (2007). They found that use of the subjective cut-off value BF = 10 (Kass & Raftery 1995) resulted in a false positive (type I) error rate close to 5%, that is, similar to the frequent use of a α = 0.05. Accordingly, Brown & Lemmon (2007) suggest that, contrary to rising beliefs, Bayes factor does not select more partitions than what the data requires. In this study we explore how to best partition multiple nuclear and mitochondrial protein coding genes in a Bayesian context. We evaluate both Bayes Factor and a penalized modification as criteria for choosing a partitioning scheme that balances between a realistic model and assigning more parameters than limited data can possibly estimate. Materials and methods Taxon sampling Forty-five species of Hydaticini were included in the analysis (Table 1). All five currently recognized genus groups (Prodaticus, Hydaticus (Hydaticus), H. (Guignotites), H. (Hydaticinus), and H. (Pleurodytes)), were newly sampled for DNA sequencing. Within the large H. (Guignotites) an attempt was made to include as many of the informal species groups historically used by such workers as Guignot (1961). Specimens were identified by the first two authors. Outgroup taxa were included from several other tribes in the Dytiscinae (Table 1). Trees were rooted using Dytiscus verticalis, a member of the tribe Dytiscini, the sister group to the remaining tribes in Dytiscinae (Miller 2000, 2001, 2003). DNA sequences Methods for DNA extraction, amplification and sequencing closely followed Miller et al. (2007). DNAs were extracted with Qiagen DNEasy kit (Valencia, California, USA) using the animal tissue protocol. In most cases, thoracic muscle tissue was removed and extracted. In some cases a single metathoracic leg was extracted. As with Cybistrini, many Hydaticini are large and preserve poorly in ethanol (Miller © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 5 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Table 1 Taxa used in analysis including locality data, KBM voucher numbers, and GenBank accession numbers for DNA sequences. Tribe Species Collection data Voucher #, GenBank ## (COI/COII/H3/Wnt) Aciliini Graphoderus liberus (Say, 1825) KBMC-Grli69, DQ813693/DQ813795/DQ813759/AF392016 Aubehydrini Dytiscini Notaticus fasciatus Zimmermann, 1928 Dytiscus verticalis Say, 1823 USA: New York: Tompkins Co., Ringwood Pres., 19 September 2000, KB Miller BOLIVIA: Dpto Beni, Prov. Cercado, 9.5 km N Trinidad, 14°46′34″S 64°58′00″W 17 June 1999, KB Miller NEW YORK: Tompkins Co., Ithaca, 26 May 2000, KB Miller Hyderodini Hyderodes shuckardi Hope, 1838 Eretini Hydaticini Hydaticini Eretes australis (Erichson, 1842) Hydaticus bihamatus (Aubé, 1838) H. bimarginatus (Say, 1830) H. bivittatus (Laporte, 1835) Hydaticini H. bowringii (Clark, 1864) Hydaticini H. caffer (Boheman, 1848) Hydaticini H. capicola (Aubé, 1838) Hydaticini H. consanguineus (Aubé, 1838) Hydaticini H. dineutoides (Sharp, 1882) Hydaticini H. dorsiger (Aubé, 1838) Hydaticini H. exclamationis (Aubé, 1838) Hydaticini Hydaticini H. fabricii (MacLeay, 1825) H. flavolineatus (Boheman, 1848) Hydaticini H. galla (Guérin-Méneville, 1849) Hydaticini H. grammicus (Germar, 1830) Hydaticini H. humeralis (Régimbart, 1895) Hydaticini H. lativittis (Régimbart, 1895) Hydaticini H. leander (Rossi, 1790) Hydaticini H. litigiosus (Régimbart, 1880) Hydaticini H. luczonicus (Aubé, 1838) Hydaticini Hydaticini H. major (Régimbart, 1899) H. matruelis (Clark, 1864) Hydaticini Hydaticini H. nigrotaeniatus (Régimbart, 1895) H. orissaensis (Nilsson, 1999) Hydaticini H. parallelus (Clark, 1864) Hydaticini Hydaticini H. philippensis (Wehncke, 1876) H. quadrivittatus (Blanchard, 1853) Hydaticini 6 AUSTRALIA: Victoria, roadside pool ~20 km W Cowwarr, 38°00′52″S 146°32′03″E, 7 November 2000, KB Miller AUSTRALIA: S Australia, shallow roadside pool ~15 km N Kingston, 13 November 2000, KB Miller NEW CALEDONIA: South Prov. Dumbea, near road to Mt Koghis, NCI, 3 November 2001, Balke and Wewalka USA: Florida: Naples, 2 January 1999, K Binder NAMIBIA: Waterberg Park, Onjoka Spring, 20°24.65′S 17°21.221′E, 25 May 2004, KB Miller JAPAN: Honshu, Kawasaki, Kameyama City: Mie Pref., 1 August 2000, Y Utsunomiya SOUTH AFRICA: Eastern Cape Province, 2 km N Sterkstroom 31°31.063′S 26°31.687′E, 1398m, 21 January 2005, J Bergsten SOUTH AFRICA: Eastern Cape Province, 31°19.613′S 26° 41.828′E, 1706 m, 21 January 2005 J Bergsten NEW CALEDONIA: South Province, Dumbea, swamp at road to upper Dumbea Riv., 4 November 2001, Balke and Wewalka INDONESIA: Borneo: Central Kalimantan, Schwaner Range, upper Kahayan basin, River Ogé, 24 July 2004, P Mazzoldi GHANA: Volta Region, Rd btwn Nkwanta and Odumase, 08°15′32.2″N 000°26′33.7″E, 15–17 June 2005, KB Miller SOUTH AFRICA: Eastern Cape Province, 2 km N Sterkstroom 31°30.233′S 26°32.160′E, 1414 m, 20 January 2005, J Bergsten PHILIPPINES: Boracay Central, 26 September 2000, J Bergsten GHANA: Greater Accra Region, Shai Hills Resource Res., 05°53.426′N 000°02.623′E, 1 June 2005, KB Miller SOUTH AFRICA: Eastern Cape Province, Dwesa NR 32°17.621′S 28°48.885′E, 109 m, 24 January 2005, J Bergsten CHINA: Yunnan: 2 km N of Shizong, 10 September 2000, J Bergsten GHANA: Volta Reg., Rd btwn Nkwanta and Odumase, 08°15′32.2″N 000°26′33.7″E, 15–17 June 2005, KB Miller GHANA: Volta Region, Rd btwn Nkwanta and Odumase, 08°15′32.2″N 000°26′33.7″E, 15–17 June 2005, KB Miller PORTUGAL: Odemira: Vila Nova de Milfontes, Planalto do Malhao, 6 June 2000, J Bergsten INDIA: Andamen Islands, Havelock, Village 5, 6 April 2004, P Bohman VIETNAM: Mui Ne: Lotus Lake, 10 km N Mui Ne, 6 January 2004, F Johansson CHINA: Yunnan: 4 km S Shizong, 13 September 2000, J Bergsten SOUTH AFRICA: Eastern Cape Province, Near Dwesa NR 32°17.027′S 28 °47.506′E, 188 m, 23 January 2005, J Bergsten MADAGASCAR: Montagne d’Ambre, 1 January 2005, J Bergsten INDIA: Karnataka, Jog Falls, 14°16.480′N 74°44.436′E, 6 October 2004, KB Miller AUSTRALIA: Victoria, roadside pool ~20 km W Cowwarr, 38°00′52″S 146°32′03″E, 7 November 2000, KB Miller PHILLIPINES: Boracay, 26 September 2000, J Bergsten AUSTRALIA: Queensland, Eubenange Swamp, 17°24′53″S 145°58′91″E, 4 August 2003, CHS Watts KBMC-Nofa52, FJ796625/–/FJ796545/AF392036 KBMC-Dyve24, DQ813692/DQ813794/DQ813758/ AF392012 KBMC-Hdsh104, DQ813694/DQ813796/DQ813760/ AF392018 KBMC-Erau103, FJ796579/–/FJ796506/FJ796547 KBMC-Hybh205, FJ796581/FJ796628/FJ796508/FJ796548 KBMC-Hybi204, FJ796582/FJ796629/–/FJ796549 KBMC-Hybv465, FJ796584/FJ796631/FJ796510/– KBMC-Hybo121, FJ796583/FJ796630/FJ796509/AF392020 KBMC-Hycf403, FJ796585/FJ796632/FJ796511/FJ796550 KBMC-Hycp405, FJ796589/FJ796636/FJ796514/FJ796552 KBMC-Hycn212, FJ796587/FJ796634/–/FJ796551 KBMC-Hydi321, FJ796590/FJ796637/FJ796515/– KBMC-Hydo423, FJ796591/FJ796638/FJ796516/FJ796553 KBMC-Hyex400, FJ796592/FJ796639/FJ796517/FJ796554 KBMC-Hyfa119, FJ796593/FJ796640/FJ796518/AF392022 KBMC-Hyfl422, FJ796594/FJ796641/FJ796519/FJ796555 KBMC-Hyga398, FJ796595/FJ796642/FJ796520/FJ796556 KBMC-Hygr117, FJ796596/FJ796643/FJ796521/AF392023 KBMC-Hyhu426, FJ796597/FJ796644/FJ796522/FJ796557 KBMC-Hylv417, FJ796601/FJ796648/FJ796526/FJ796561 KBMC-Hyle195, FJ796598/FJ796645/FJ796523/FJ796558 KBMC-Hyli310, FJ796599/FJ796646/FJ796524/FJ796559 KBMC-Hylu270, FJ796600/FJ796647/FJ796525/FJ796560 KBMC-Hyma120, FJ796602/FJ796649/FJ796527/AF392024 KBMC-Hymt402, FJ796603/FJ796650/FJ796528/FJ796562 KBMC-Hyni399, FJ796604/FJ796651/–/– KBMC-Hyor332, FJ796605/FJ796652/FJ796529/FJ796563 KBMC-Hypr106, FJ796607/FJ796654/FJ796530/AF392025 KBMC-Hyph203, FJ796606/FJ796653/–/FJ796564 KBMC-Hyqv241, FJ796609/–/–/FJ796566 Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice Table 1 Continued. Tribe Species Collection data Voucher #, GenBank ## (COI/COII/H3/Wnt) Hydaticini Hydaticini H. rhantoides (Sharp, 1882) H. ricinus (Wewalka, 1979) KBMC-Hyrh206, FJ796610/FJ796656/FJ796531/FJ796567 KBMC-Hyri271, FJ796611/FJ796657/FJ796532/FJ796568 Hydaticini H. rimosus (Aubé, 1838) Hydaticini Hydaticini Hydaticini H. rivanolis (Wewalka, 1979) H. satoi (Wewalka, 1975) H. servillianus (Aubé, 1838) Hydaticini H. speciosus (Régimbart, 1895) Hydaticini H. subfasciatus (Laporte, 1835) Hydaticini H. ugandaensis (Guignot, 1936) Hydaticini H. ussherii (Clark, 1864) Hydaticini H. vittatus (Fabricius, 1775) Hydaticini H. wattsi (Daussin, 1980) Hydaticini H. xanthomelas (Brullé, 1838) Hydaticini H. aruspex Clark, 1864 Hydaticini H. cinctipennis Aubé, 1838 Hydaticini H. continentalis J. Balfour-Browne, 1944 H. seminiger (DeGeer, 1774) H. transversalis (Pontoppidan, 1763) Prodaticus pictus Sharp, 1882 CHINA: Yunnan, 4 km S Shizong, 13 September 2000, J Bergsten VIETNAM: Mui Ne: Lotus Lake, 10 km N Mui Ne, 6 January 2004, F Johansson COSTA RICA: Guanacaste Province, Barra Honda Natl. Park, pools in Quebrada La Palma, 12 January 2004, Short and Lebbin PAPUA NEW GUINEA: Alotau, 14 July 2001 CHINA: Yunnan, 2 km S Shizong, 15 September 2000, J Bergsten SOUTH AFRICA: Eastern Cape Province, 2 km N of Sterkstroom 31°31.063′S 26°31.687′E, 1398 m, 21 January 2005 J Bergsten GHANA: Volta Reg., rd btwn Nkwanta and Odumase, 08°15′32.2″N 000°26′33.7″E, 15–17 June 2005, KB Miller BOLIVIA: Dpto Sta Cruz, Province. Chiquitos 2.7 km S San Jose, 17°52′20″S 60°44′28″W, 27 June 1999, KB Miller GHANA: Volta Region, rd btwn Nkwanta and Odumase, 08°15′32.2″N 000°26′33.7″E, 15–17 June 2005, KB Miller GHANA: Western Region, Ankasa Resource Reserve, 05°16.566′N 002°38.342′W, 7–8 June 2005, KB Miller INDIA: Maharashtra, 16°34.992′N 73°35.221′E, 1 October 2004, KB Miller AUSTRALIA: Queensland, Eubenange Swamp, 17°24′53″S 145°58′91″E, 4 August 2003, CHS Watts BOLIVIA: Departemento Sta Cruz, Province, Velasco, 1.5 km SE San Ignacio, 24 June 1999, KB Miller USA: New York: Schuyler Co., Texas Hollow, 6 September 2000, KB Miller USA: New York: St. Lawrence Co., Macomb Twp., Fish Cr. marsh, 23 May 2000, 44°28′20″N 75°33′48″W, KB Miller RUSSIA: Volgograd Oblast, 4 km E Khmelevskoy Lake S River Don, 2 May 2002, J Bergsten Sweden: Östergötland, E Lundqvist RUSSIA: Volgograd Oblast, Krasnoslobodsk, 15 May 2001, J Bergsten United Arab Emirates (U.A.E.): Wadi Bih Darn, Lat 25.48°, Lon 56.04° 22 February–1 March 2007 A van Harten Hydaticini Hydaticini Hydaticini et al. 2007). To avoid this problem, thoracic muscle from many specimens was dissected in the field soon after collection. This tissue was immediately placed in ethanol and later extracted for use with PCR. Vouchers and other identified material are deposited in the Museum of South-western Biology Arthropod Collection (MSBA). Molecular data Four genes were sequenced for analysis, cytochrome c oxidase I (COI) and II (COII), histone III (H3) and wingless (wnt). Primers used for amplification and sequencing were derived from several sources (see online Supporting Information Table S1). For some taxa, COI and COII were amplified and sequenced together using several combinations of primers and the intervening approximately 60 bp leucine-coding tRNA sequence (which was length variable in many taxa) was excised. In most cases, COI and COII were amplified and sequenced separately without the intervening tRNA sequence. For KBMC-Hyrm335, FJ796612/FJ796658/FJ796533/FJ796569 KBMC-Hyrv389, FJ796613/–/FJ796534/FJ796570 KBMC-Hysa209, FJ796614/FJ796659/FJ796535/FJ796571 KBMC-Hysr401, FJ796617/FJ796661/FJ796538/FJ796573 KBMC-Hyso421, FJ796616/FJ796660/FJ796537/FJ796572 KBMC-Hysu23, FJ796618/FJ796662/FJ796539/FJ796574 KBMC-Hyug424, FJ796620/FJ796664/–/– KBMC-Hyus425, FJ796621/FJ796665/FJ796541/FJ796576 KBMC-Hyvi331, FJ796622/FJ796666/FJ796542/FJ796577 KBMC-Hywa242, FJ796623/FJ796667/FJ796543/FJ796578 KBMC-Hyxa67, FJ796624/FJ796668/FJ796544/AF392028 KBMC-Hyar68, FJ796580/FJ796627/FJ796507/AF392019 KBMC-Hyci20, FJ796586/FJ796633/FJ796512/AF392021 KBMC-Hyco211, FJ796588/FJ796635/FJ796513/– KBMC-Hyse125, FJ796615/–/FJ796536/AF392026 KBMC-Hytr192, FJ796619/FJ796663/FJ796540/FJ796575 BMNH 833204, FJ796626/FJ796669/FJ796546/– certain taxa, markers or portions of markers could not be amplified or sequenced. GenBank numbers are indicated in Table 1. DNA fragments were PCR amplified using AmpliTaq Gold (Applied Biosystems), Platinum Taq (Invitrogen) or HotMaster Taq (Eppendorf) on a DNA Engine DYAD Peltier Thermal Cycler. Amplification conditions are presented in online Supporting Information Table S2. Contamination was mediated using negative controls, and fragments produced from PCR were examined using gel electrophoresis. Products were purified using Montage PCR96 Cleanup Kit (Millipore) and cycle sequenced using ABI Prism Big Dye (version 3) using the same primers used to amplify. Sequencing reaction products were purified using Sephadex G-50 Medium and sequenced using an ABI 3730xl DNA analyser (DNA Sequencing Center, BYU). Gene regions were sequenced in both directions. Resulting sequence data were examined and edited using the program Sequencher (Genecodes 1999). © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 7 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Morphology The morphological characters analysed in this analysis are described in Appendix I. Many of these characters have been used previously in dytiscid classification and they are described in general treatments including Sharp (1882), Balfour-Browne (1950), Guignot (1961) and Larson et al. (2000). There are several characters included, however, that are specific to Hydaticini. Some of these are new and are discussed in greater detail. Others were first introduced in the literature including papers by Galewski (1985), Hernando & Fresneda (1994), Nilsson (1981), Roughley & Pengelly (1981), Satô (1961), Trémouilles (1994) and Wewalka (1975, 1979). Some of these characters have been described more thoroughly and tested in other phylogenetic projects (Miller 2000, 2001, 2003; Miller et al. 2007) (online Supporting Information Table S3). Coded states are presented in online Supporting Information Table S4. Analysis Sequence alignment was done manually using Sequencher (Genecodes 1999) since the sequences are, in most taxa, not length variable and alignment is unambiguous. Notaticus fasciatus has a three base pair indel in wingless which was aligned based on conservation of reading frame and conversion to amino acids for alignment (Miller 2003) (online Supporting Information Table S5). Similarly, one species of Hydaticini, H. bihamatus, exhibits several three, or multiples of three, base pair indels in COI which were aligned in the same way (online Supporting Information Table S5). Alternative alignments were examined and analysed, but did not affect the results of the analysis. Data were analysed using parsimony and the program NONA (Goloboff 1995) implemented using WinClada (Nixon 2002) with the ‘heuristics’ search option and the commands set to hold 5000 trees total (‘h 5000’), 60 replications (‘mu*60’), 40 trees held per replication (‘h/40’), and multiple TBR + TBR (‘max*’). Character 34 was treated as additive. Trees were examined and analysed under different optimizations and character distributions on the resulting topologies were examined using WinClada. Support for branches was measured using bootstrap values. These were calculated in NONA as implemented by WinClada using 1000 replications, 10 search reps, 1 starting tree per rep, ‘don’t do max*(TBR)’, and save the consensus of each replication. We also ran a maximum likelihood analysis using GARLI (Zwickl 2006) on the DNA data alone, specifying a single GTR + I + Γ model across all genes and leaving other settings as default in the configuration file (GARLI version 0.96b8). Clade support values were estimated with 200 bootstrap replications. To explore the effect of partition choice with multiple protein-coding genes, we identified nine different logical partitioning schemes ranging from forcing a single model to 8 Table 2 Partitioning multiple nuclear and mitochondrial protein coding genes. Partitions include genome (nuclear/mitochondrial), genes, third codon positions, all codon positions, and combinations of these. Morphological characters were treated with a separate Mk or Mk + Γ model for all analyses (Lewis 2001). First Number of partitions Morphology/ DNA 1 2 3a 3b 4 5a 5b 7 9 13 (only DNA) X X X X X X X X X Nuclear/ Mitochondrial Genes Second Third Codon position X X X X X X X X X X X X X X X X X X X X X all genes (with a separate Mk model for morphology) to treating all codon positions from all genes as separate partitions (Table 2). All 35 different components of the 9 partitioning schemes were analysed with MRMODELTEST (Nylander 2004b) and MrAIC (Nylander 2004a). MRMODELTEST is a version of MODELTEST (Posada & Crandall 1998) that limits the hLRT to the 24 models supported in MRBAYES (Ronquist & Huelsenbeck 2003) and includes the four different directions of traversing parameter space explored by Posada & Crandall (2001). Pol (2004) found that varying the sequence for which parameters were tested with hLRT often led to different model choices which in some cases led to conflicting phylogenetic hypotheses. MrAIC differs from the AIC and BIC calculated in MODELTEST (and MRMODELTEST) in that the likelihood score is, as appropriate, optimized under each model using searches with PHYML (Guindon & Gascuel 2003). We recorded the model choice under the four hLRT directions, AIC, AICc (corrected AIC for small sample size) and BIC (online Supporting Information Table S6). All nonidentical model choice × partitioning scheme combinations (a total of 57) including a MAX (GTR + Γ + I) and MIN model (JC) for all partitions were analysed with the parallel version of MRBAYES vs. 3.1.2 (Altekar et al. 2004) on a 408 processor Opteron (1.8 GHz, 2 Gb memory) Beowulf cluster at Imperial College, London. We acquired DNA of Prodaticus pictus at a late stage of revision of the submitted manuscript and were able to sequence all but a portion of COI and wnt. Given the circumstances, we wanted to include this taxon for taxonomic purposes, but we were not able to include it in these time-consuming analyses. Data from P. pictus was included in the presented favoured Bayesian analysis (7BIC, see below) as well as in the parsimony and likelihood analysis. In all runs we used one Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice cold and three incrementally heated chains (Temperature = 0.2) and sampled every 1000 steps for 10 million generations. This was repeated twice for all combinations, and samples from the two runs were pooled, discarding the first 5 million generations as burn-in, unless otherwise stated. Prior and proposal settings were left as default. Among partition rate variation was allowed with a ratemultiplier using the ‘prset ratepr = variable’ command in MRBAYES (see Marshall et al. 2006). The morphological characters were given an Mk model (Lewis 2001) in all analyses after rejecting as an informative model component (the inclusion did not increase the log of the harmonic mean of the likelihood). We treated character 34 as additive and accounted for the fact that only parsimony informative characters were included. Standard convergence diagnostics for the independent runs, as implemented in MRBAYES, were checked to ensure that sampling was long enough and had reached the same stationarity. The topology with highest posterior probability and the majorityrule consensus with posterior probability clade support values were recorded and compared across the runs of all combinations. We used the log of the harmonic mean of the likelihood at the stationary phase (after discarding the burn-in) to calculate Bayes Factor and a modification (see below) in the increase of LnL for accepting additional parameters as recommended by Pagel & Meade (2004). Branch lengths are not included when mentioning the number of free parameters for different models for practical purposes since this number is constant across all tested models. Results Model choice for the 35 partitions varied depending on the criteria used (online Supporting Information Table S6). For example depending on the direction of traversing parameter space the partition with first and second codon positions of H3 resulted in a model choice of SYM + Γ with direction 1, K80 + I with direction 2, K80 + Γ with direction 3 and SYM + I with direction 4. Evidently, when a proportion of invariable sites (I) is tested in the presence of the Γ parameter (Γ) (direction 1 and 3) I is rejected, whereas when the Γ -parameter is tested in the presence of I (direction 2 and 4), Γ is rejected. Likewise the model chosen by AIC, AICc and BIC varied especially with small partitions. For example, model choice for the first codon partition of H3 resulted in GTR + Γ with AIC, JC with AICc and K80 + I with BIC (and SYM + Γ or SYM + I with hLRT). In a comparison of the partitioning schemes, in general, partitioning by codon position resulted in greater likelihood than partitioning by gene (online Supporting Information Table S7). The log of the HME of the marginal likelihood is about 570 log-likelihood units (LnLU) higher with scheme 3b (first + second and third codon positions) than 3a (nuclear vs. mitochondrial genes), although there are the same number of parameters in each. This is in addition to an original improvement of 600 LnLU over the unpartitioned molecular data (2). Additional partitioning of 1st and 2nd codon positions (4) increases HME by an another 100 LnLU. Partitioning by gene (5a) is 500–600 LnLU worse than codon partitioning (3b, 4) although 5a has > 20 additional free parameters. The alternative five-partition scheme (5b, separating nuclear and mitochondrial genes and also partitioning third codon positions) is overwhelmingly favoured with the HME 1400 LnLU higher than results from partitioning by gene (5a) and 800 LnLU higher than partitioning by all three codon positions but not nuclear and mitochondrial genes separately (4). Adding two more partitions (7, similar to 5b but with an extra partitioning of first and second codon positions for both the nuclear and mitochondrial group) further improves the HME by about 100 LnLU. Alternatively, partitioning each gene and separating third codon position for each gene adds two partitions and around 10–20 free parameters, but without any improvement in LnLU. Finally, the maximum partitioning (13 partitions of separate codon positions for each gene) improves the HME by a modest 10–100 LnLU compared with results from seven partitions while adding another 10–60 free parameters. According to the suggested use of Bayes Factor (Kass & Raftery 1995a 2*Ln Bayes factor of > 10 is interpreted as model 1 being strongly favoured over model 0. Using this criterion, the 13 partitioning scheme with the maximum GTR + Γ + I model is favoured. This model resulted in an estimated marginal likelihood of –25 660, 40 LnLU more than the second best choice (13hLRT2 and 4) which resulted in a 2*Ln Bayes Factor of 80. Thus, this model is strongly favoured despite adding 50 free parameters for a total of 132. Since concerns have been raised about the scale of interpretation of Bayes Factor in phylogenetics and that the HME may overestimate the real marginal likelihood, more severely so for high-dimensional models, we implemented a recommendation by Pagel & Meade (2004). The Bayes Factor test penalizes overparametrization through the specified priors. Pagel & Meade (2004) in the context of mixture models note that given their priors, each GTR rate matrix added to their mixture model requires an improvement of about 30 loglikelihood units to return a Bayes Factor of 0. 0 is equivalent to no preference for either the simpler or the more complicated model. More than 30 units is therefore required for preferring the more complicated model, and they suggested that for an extra GTR model to be accepted, thereby adding another seven free parameters, it should improve the likelihood with 70–80 log-likelihood units. This would conveniently equal a requirement of a 10 log-likelihood unit’s improvement per parameter, and corresponded with their priors to a log Bayes factor of about 40, that is, strongly supported. Thus, we calculated the ‘PM-factor’, PM = ΔLnL/Δp (p = number © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 9 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Figs 20–22 Hydaticini species, female genitalia, ventral aspect. 20, H. aruspex. 21, H. flavolineatus. 22, H. dorsiger. of free parameters) and we accepted additional partitions only when this value was 10 or greater (online Supporting Information Table S8). When multiplied by 2 the PM-factor is identical to what Castoe et al. (2005) called the ‘relative Bayes Factor’ and the threshold we employed would consequently be the same as a ‘relative Bayes Factor’ of > 20. Application of this criterion clearly implies preference of 3b over 2 (PM = 109–120) and 5b over 4 (PM = 62.6–265.4). It marginally implies preferences of 4 over 3b (PM = 9.4–14.2) and 7 over 5b (PM = 7.7–12.3, for model choice favoured for each partitioning, 7-BIC vs. 5b-hLRT1, PM = 11.5) both of which refers to splitting the lumped first and secnd codon position partition into two separate partitions. It implies rejection of the addition of another 6 partitions in the maximum 13 scheme (PM = 0–2.6), and 9 partitions is rejected since this scheme increased the number of parameters but not LnL. Among the model choice criteria within the seven partitions, where Bayes Factor would choose the maximum GTR + Γ + I for all partitions (2*Ln Bayes factor = 32), the PM factor selects the simplest model combination chosen by BIC with only one of the seven partitions given the max GTR + Γ + I model (42 parameters, LnL = –25 802, alterna10 tive hLRT1, 45 parameters –25 784, PM = 6, alternative MAX, 66 parameters, LnL = –25 763, PM = 1.6). The topology inferred from the seven partitions-BIC selected models is shown in Fig. 23. The inferred topologies for the different model choice × partitioning scheme combinations differ only minimally from each other with the exception of the results from assignment of a JC model to all partitions. This topology differed most but is clearly rejected based on both HME-based factors. Among the other topologies (47) areas of incongruence were restricted to three alternatives. First, Hyderodes is in an alternative placement in 2 of the 47 analyses as sister to the clade Notaticus + Eretes + Graphoderus. Second, the clade H. luczonicus + H. orissaensis + H. bihamatus is resolved as H. bihamatus + H. orissaensis as sisters in 35 of the analyses and as H. luczonicus + H. orissanensis as sisters in 12. However, posterior probability of the resolution in this clade was low throughout the topologies for both alternatives (pp = 0.50–0.82). The third incongruency involved the species H. nigrotaeniatus and H. parallelus. As a clade H. nigrotaeniatus + H. parallelus was resolved as sister to the remaining Guignotites (eight analyses) or as sister to the H. vittatus + H. speciosus groups (38 analyses, Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice Fig. 23 Topology with highest posterior probability (P = 0.043) from the preferred 7BIC Bayesian analysis of morphology and four genes. Numbers on branches are posterior probability support values and branch lengths, jointly estimated from all seven partitions, are averaged over the last 5 million generations. as in Fig. 23). The first alternative occurred in the 3b, 4 and 13BIC analyses but was weakly supported in the last (pp = 0.58). The 13AICc analysis resulted in a third alternative with H. parallelus sister to the H. vittatus + H. speciosus groups and H. nigrotaeniatus sister to the remaining H. (Guignotites). These positions are the two alternative placements of the clade H. nigrotaeniatus + H. parallelus in the remaining 46 analyses. Whereas this third alternative was found in the topology with highest posterior probability, resolution of the entire topology between the two terminals was collapsed in the consensus. A sister relationship between these two taxa has never been proposed based on morphology and they are optimized as having two of the three longest terminal branches in the ingroup (Fig. 23). This led us to investigate © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 11 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Fig. 24 Topology from 7BIC-exclusion runs with H. nigrotaeniatus and H. parallelus placed as indicated by the long branch extraction test. Double numbers on internodes are posterior probability support values from (A, B) —A. when H. parallelus was excluded and —B. when H. nigrotaeniatus was excluded (only one number indicates these values were identical). the possibility of an effect from long-branch attraction. Using the long-branch extraction test (Bergsten 2005; Siddall & Whiting 1998) we successively excluded H. nigrotaeniatus and H. parallelus and reran all 57 model choice × partitioning analyses, recording changes in the placement of these taxa 12 and others. In all analyses with 5b partitioning or higher and H. parallelus excluded, H. nigrotaeniatus moves from its original placement (Fig. 23) to being sister to the remaining H. (Guignotites) (Fig. 24). In contrast, for the same partition schemes with H. nigrotaeniatus excluded, H. parallelus remains Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice in its original phylogenetic resolution (Fig. 24). In the 13BIC analysis, the only one with H. nigrotaeniatus + H. parallelus resolved as sister to the remaining H. (Guignotites), the result is the opposite. Hydaticus nigrotaeniatus remains in this position with H. parallelus excluded but H. parallelus is resolved as in Fig. 24 with H. nigrotaeniatus excluded. Finally, in the 13AICc analysis which originally had the two species resolved separately, neither taxon changed in phylogenetic position with the other excluded (Fig. 24). Consequently, the response to the taxon removal test fulfills the expected prediction of an LBA artefact (Bergsten 2005; Siddall & Whiting 1998). Some of the results from the 5a partitions and below responded slightly differently to the long-branch extraction treatment. However, since these partitioning schemes were overwhelmingly rejected as inferior to partition 5b and above, we will not discuss these in detail. Full information is available as online Supporting Information. The combined parsimony analysis resulted in two equally parsimonious cladograms (L = 5503, CI = 29, RI = 48), one of which is shown in Fig. 25. The other tree differed only in the resolution of the three closely related species H. fabricii, H. rivanolis and H. ricinus. Although there are a few disagreements between this analysis and the Bayesian results, especially regarding some ‘deeper’ branches, only in the H. vittatusgroup are disagreements supported by bootstrap values of > 0.5 (Fig. 25). We tested if the two potentially problematic long-branched taxa H. nigrotaeniatus and H. parallelus are the cause for lack of support of the four deeper internodes in H. (Guignotites) (below the H. nigrotaeniatus + H. parallelus clade) by rerunning the bootstrap analysis with H. nigrotaeniatus and H. parallelus excluded. This resulted in two of the four internodes supported with bootstrap values of 70 (H. (Guignotites)) and 63 (H. (Guignotites) excluding the H. bihamatus group). Also the support for Hydaticus increased from 70 to 88, indicating that these long branched taxa were probably attracted to the outgroup terminals in several of the bootstrap replicates, a well-known phenomenon (Bergsten 2005). The maximum likelihood analysis on the DNA data alone using GARLI (not shown) resulted in an identical topology to the favoured partitioned Bayesian analysis (Fig. 23) except for the clade H. orissaensis + H. bihamatus (bt = 0.68) and the H. vittatus species group which was identical to the parsimony result (Fig. 25). Both parsimony and unpartitioned likelihood places the African H. bivitattus basal in the otherwise oriental H. vittatus clade (no bootstrap support) and H. quadrivittatus + H. philippensis as sister species (likelihood bt = 0.64, parsimony bt = 0.62) whereas partitioned Bayesian analysis places H. bivittatus as sister to H. satoi (pp = 0.87), and H. quadrivittatus as basal to the clade (pp = 1.0) with strong support (Fig. 23). In all analyses the tribe Hydaticini is monophyletic but the genus Hydaticus is paraphyletic due to the nesting within it of the other recognized genus, Prodaticus (bootstrap = 70, pp = 1.0; Figs 23 and 25). Of the subgenera, Hydaticus sensu stricto is monophyletic (bt = 100, pp = 1.0) whereas Hydaticus (Guignotites) is paraphyletic (pp = 1.0) due to the nesting within it of Prodaticus and the subgenera H. (Hydaticinus) and H. (Pleurodytes) (Figs 23 and 25). Within H. (Guignotites), clades correspond roughly to various previously recognized species groups and show a strong biogeographical pattern. The H. bihamatus (bt = 81, pp = 1.0) group is sister to the remaining H. (Guignotites) (and Prodaticus and other subgenera) (pp = 0.63) and has an Oriental distribution with some species also reaching the Palearctic and Australian regions. The next clade (the H. subfasciatus group) includes members which are entirely Neotropical (bt = 84, pp = 1.0), with one species, H. bimarginatus extending into the southern and eastern Nearctic. The monotypic subgenus H. (Hydaticinus) is strongly associated with Neotropical relatives (bt = 96, pp = 1.0). The next clade is Afrotropical (bt = 64, pp = 1.0) and consists of species from the H. sobrinus species group, with H. dorsiger sister (bt = 100, pp = 1.0) to the other three species. The H. leander group (bt = 100, pp = 1.0) is sister to the H. fabricii group (bt = 97, pp = 1.0), with both consisting of rather unicolorous species. The H. leander group is Afrotropical with some reaching the Mediterranean and Middle East. The H. fabricii group is Oriental-Australian and Palearctic. Finally, the H. speciosus and H. vittatus groups are together monophyletic (bt = 63, pp = 0.84) with an entirely Afrotropical clade (the H. speciosus group, bt = 70, pp = 0.98) and an Oriental-AustralianPalaearctic clade (the H. vittatus group, bt = 98, pp = 1.0), with this second group having a single Afrotropical species, H. bivittatus. The subgenus H. (Pleurodytes) is convincingly nested within the Oriental members of the H. vittatus group (bt = 92, pp = 1.0), and the Afrotropical clade includes species of the speciosus group sensu Guignot (1961). The species P. pictus is strongly supported as sister group to the H. vittatus + H. speciosus groups (bt = 93, pp = 1.0). The positions of the Australian H. parallelus and the Madagascar endemic, H. nigrotaeniatus (in the H. sobrinus group), as rigorously investigated (see above), are uncertain, but their sister group relationship (bt = 66, pp = 1.0) is most probably artificial. Hydaticus parallelus may have an intermediate position between the clade H. leander group + H. fabricii group and the H. vittatus + H. speciosus groups + Prodaticus whereas H. nigrotaeniatus seems to have a basal position within H. (Guignotites). Discussion Partitioning strategies Our combined results imply guidelines for selecting among alternative partitioning strategies for a data set of multiple nuclear and mitochondrial protein-coding genes for Bayesian analyses. Earlier workers have investigated the same question but for data sets that combine protein-coding genes with © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 13 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Fig. 25 One of two most parsimonious cladograms (L = 5503, CI = 29, RI = 48) from combined parsimony analysis with morphological characters mapped using ‘fast’ optimization in WinClada. Second tree differed only in the resolution of the P. rivanolis, P. ricinus, P. fabricii cade. Black hash marks indicate unambiguous changes, white hash marks indicate homoplasious changes or reversals. Numbers above hash marks are character numbers, those below hash marks are state numbers. Numbers on internodes are support values from 1000 bootstrap replicates. Dendrogram in lower left depicts branch lengths of the same tree based on number of changes (all changes in combined parsimony analysis including morphology and DNA sequence data) mapped using ‘fast’ optimization in WinClada. 14 Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice ribosomal DNA (Castoe et al. 2004; Nylander et al. 2004; Brandley et al. 2005; Strugnell et al. 2005; Castoe & Parkinson 2006), or introns and tRNAs (McGuire et al. 2007), which either differ in classes of biologically relevant partitions or do not have multiple genes of both sources of coding DNA (Castoe et al. 2005; Li et al. 2008). We found genome source (nuclear vs. mitochondrial) and codon position to be the most important partitions, far more important than partitioning by individual genes. Apart from having a higher evolutionary rate (> 8 times higher in our data), mitochondrial genes have a significantly higher AT content than nuclear genes (88% vs. 47% in our data set), both certainly responsible for the increase in 600 LnL units when partitioned. Not accommodating this kind of bias in model-based optimality approaches is known to be a hazard that can lead to incorrect phylogenetic inferences (Lockhardt et al. 1994). The compromise estimation of base frequencies (A: 0.303–0.334, T: 0.366– 0.396: 95% credible intervals) from the unpartitioned DNA data set is a serious misrepresentation of both DNA sources (nuclear, A: 0.237–0.292, T: 0.181–0.226; mitochondrial, A: 0.397–0.431, T: 0.449–0.482) from the 3a partition scheme. As a general rule, the same codon position in different genes evolves more similar than do different codon positions in the same gene. For example treating third codon positions from all genes as a separate partition from first and second (3b), results in a 500LnL units higher likelihood compared to separating all four genes, wingless, histone 3, COI and COII (5 A) despite many more parameters. This conclusion is broadly in agreement with earlier work. Brandley et al. 2005) found that partitioning the codon positions of the ND1 gene had the largest effect on the mean LnL, and was favoured even over alternatives with more total partitions. Partitioning third codon positions in two mitochondrial protein-coding genes resulted in a much higher harmonic mean likelihood than dividing the two genes in Castoe et al. (2005). McGuire et al. (2007) concluded that a minimum of four partitions corresponding to one nuclear (introns) and three mitochondrial partitions after codon positions stabilized the topology, branch lengths and posterior probability estimates. Li et al. (2008) not only showed that three partitions representing the codon positions across 10 nuclear loci resulted in the greatest improvement in AIC and BIC values, but also that 10 genespecific partitions performed as badly as having no partitions at all. Nylander et al. (2004) found that allowing rate variation with a Γ parameter within a DNA partition consisting of three protein-coding and one ribosomal gene had a much larger effect than allowing rate variation between four gene partitions. The Γ shape parameter in this case will mostly model rate variation across codon positions. However, whereas the Γ shape parameter models as good as possible the systematic rate differences between codon positions if not partitioned, our results clearly show that this alternative is inferior to codon partitioning. In our 5a analysis four separate Γ parameters model codon rate variation within each gene, whereas in the simpler codon partitioning (4) three Γ parameters model rate variation within each codon class. Both allow rate variation between partitions, genes in the former and codons in the latter. Despite 11 more free parameters 5a is inferior by more than 600 LnLU. Thus, we make the general recommendation to partition protein-coding multigene Bayesian analyses by codons and by genome source, but not only by genes as is commonly done (see also Li et al. 2008). Previous studies on the behaviour of Bayes Factor for selection of models or partition schemes in phylogenetics have all resulted in the most parameter-rich model being chosen, and in all comparisons of nested models the more parameter rich model has been favoured (2*Ln Bayes Factor > 10 (Nylander et al. 2004; Brandley et al. 2005; Castoe et al. 2005; Castoe & Parkinson 2006)). We also found that Bayes Factor selects the most parameter rich model with partitioning of all genes and all three codon positions and each of the 12 molecular partitions assigned a GTR + Γ + I model (13MAX). However, in contrast to previous studies, we found examples of nested models where Bayes Factor selects a simpler model. For example in the two partition scheme with assignment of either an Mk or a Mk + Γ model to the morphological matrix and GTR + Γ + I to the DNA partition there is no support for adding the G parameter (2*ln BF = 0.02). Likewise, in a comparison of 5b-hLRT3 and 5b-Max which differ in 3rd codon position partitions for COI + COII and H3 + WNT, Bayes Factor selects GTR + Γ over GTR + Γ + I with ‘strong’ support (LnL = –25873.29 vs. LnL = –25876.68, 2*ln BF = 6.78) according to the interpretation scale of Kass & Raftery (1995). This is empirical evidence that Bayes Factor actually can penalize overparameterization, even for nested comparisons, as is theoretically expected (Nylander et al. 2004). Nevertheless, it seems clear that Bayes Factor does not penalize to a satisfying degree (but see Brown & Lemmon 2007). Latrillot & Philippe 2006) convincingly argue that this is due to the MCMC HME grossly overestimating the marginal likelihood especially for more parameter rich models. The Metropolis Coupled MCMC (MC3) is too efficient in only sampling the high lkelihood areas of parameter space. To accommodate this concern, we used the implicit recommendation by Pagel & Meade (2004) requiring at least a 10LnL increase in the HME per additional free parameter before accepting a more complicated model. Whereas > 10LnLU is an artificial value (just as > 10 represents ‘very strong support’ for the 2*Ln Bayes Factor), it might do a rough job in correcting the harmonic mean bias demonstrated by Latrillot & Philippe (2006). In our case such a threshold resulted in a scheme with seven partitions, with partitioning by each codon position © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 15 Hydaticini phylogeny & data partition choice • K. B. Miller et al. and by genome source (nuclear and mitochondrial). A maximum of 150 LnL units can be gained using the 13partition alternative, but at the price of a considerable 90 additional free parameters estimated from the data. While Brown & Lemmon (2007) found the Bayes Factor to behave appropriately, they do note a possible increase in the variance of 2LnBF towards smaller data set sizes. Intuitively, only estimation error can be gained by assigning a GTR + Γ + I model to a partition of 109 nucleotides such as second codon positions in H3. In our data set this partition has only four variable sites and two of the six substitution types of the GTR model are not even present. In comparison, this threshold level would also imply selection of a simpler model than the most complex models chosen in the studies by Castoe et al. (2005), Castoe & Parkinson (2006), Brandley et al. (2005) and Nylander et al. (2004). That being said, it is clear that Bayesian analyses are more sensitive to oversimplified model violations than to overspecified models of evolution (Huelsenbeck & Rannala 2004). More studies investigating data partitioning, small partition size, estimation error of parameters, and the effect of different model priors (especially branch length priors, see Yang & Rannala 2005) on the Bayes Factor and its penalizing ability are warranted. Variation in clade support values and topological inference across the model choice criteria and 10 partitioning schemes exist but are not extensive. As in previous studies clade support values show both increasing and decreasing trends, between < 0.7 and > 0.95 for different clades, when partitions increased (Nylander et al. 2004; Brandley et al. 2005; Castoe et al. 2005). For example, support for H. lativittis + H. speciosus increased from 0.64 (3aBIC) to 0.99 (13AICC), whereas the clade H. seminiger + H. aruspex + H. continentalis decreased from 0.99 (2) to 0.62 (13hLRT3). The posterior probability of the best topology decreased from the overly simplified MIN-models (0.29–0.82) and two partition models (0.31–0.33) to less than 0.16 for all analyses more complex than 3a. This is similar to the finding by Nylander et al. (2004) that the number of topologies in a 95% credible set of trees increased with more complex models. One topological difference was resolution of the clade H. bihamatus + H. orissaensis + H. luczonicus in which no resolution ever had higher support than 0.82, apart from the MIN models ( JC) which (in all partition schemes) resolved the relationship H. bihamatus + H. luczonicus with up to 0.97 support. This clade clearly needs additional data to be unambiguously resolved. The other topological difference in the ingroup between analyses resolves around the Madagascar endemic H. nigrotaeniatus and the Australian endemic H. parallelus. The long branch extraction test indicates that their sister group relationship is artificial, but more interesting is that their placement varied depending on the partitioning. Partitioning by all three codon positions or by only the third without partitioning by nuclear and mitochon16 drial genome (3b and 4), resolved this group as sister group to the remaining H. (Guignotites). And a single model choice × partition scheme combination (13AICc) resolved the two terminals in phylogenetic positions indicated in the extraction test in the topology with highest posterior probability but with support value of < 0.5. This particular combination combines the highest number of partitions separating all codon position for all genes, with the Corrected Akaike Information Criteria as the model choice criteria which most severely penalizes over-parametrization when sample size is small (Posada & Buckley 2004). Especially in the nuclear gene fragments, sample size (number of nucleotide sites) for a single codon position were very small (wingless, 155; H3, 109) and for these AICc selected simple JC, JC + I and K80 + Γ whereas, for example, the uncorrected AIC selected GTR + Γ for 4 of 6 partitions. Actually the two independent runs of 13AICC differed in their inference of the clade, but HME of the marginal likelihood differed by only 1 LnL unit (and the samples were consequently pooled). Does this suggest that a scheme of highly partitioned data sets with simple models for all (small) partitions is most likely to escape artifacts and may be the way forward for analyses of large multigene matrices? Whereas our single example of analysis of this data set is insufficient to definitively establish this, it does suggest a future direction for more comprehensive investigation. Classification In a previous analysis (Miller 2003), Hydaticini was found to be paraphyletic with respect to a group including Eretini and Aciliini. An analysis by Ribera et al. (2002) placed Hyderodes (Hyderodini) and Notaticus (Aubehydrini) within Hydaticini. The position of Hyderodes was regarded as weakly supported by the authors, but the placement of Notaticus within the group was regarded as well-founded. Our analysis, which includes the most extensive character and taxon sampling within Hydaticini to date, supports monophyly of Hydaticini and a sister group relationship between Hydaticini and a clade containing Aubehydrini, Aciliini and Eretini with Hyderodini and Dytiscini outside this clade (Figs 23–25). Hyderodes is most certainly not a member of Hydaticini since it lacks all the structural apomorphies of the tribe and has several plesiomorphies that suggest a much closer relationship with Dytiscus, a conclusion supported by this analysis (Figs 23–25) and several previous analyses (Miller 2000, 2001, 2003). The position of Notaticus is, however, more unstable through several analyses of this subfamily. In addition to its position nested within Hydaticini, proposed by Ribera et al. (2002), it has also been found as sister to the clade Hydaticini + Eretini + Aciliini by Miller (2000) and as sister to Aciliini (Miller 2003). This analysis, which includes better character sampling, but not extensive taxon sampling outside Hydaticini, places it as sister to Aciliini + Eretini with relatively strong Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice branch support (Figs 23–25). The larva, recently described (Miller et al. 2007), possesses characteristics similar to hydaticines, but many of these appear to be plesiomorphies (Fig. 25). Even so, there seems to be mounting evidence that Notaticus, which, like Hyderodes, lacks the structural synapomorphies shared by hydaticines, is not a member of Hydaticini. Exactly where it fits in the phylogeny remains ambiguous. The monophyletic Hydaticini is divided into two prominent clades (Figs 23–25). One corresponds with the subgenus Hydaticus sensu stricto as historically recognized. The other includes H. (Guignotites) with Prodaticus, H. (Hydaticinus) and H. (Pleurodytes) nested well within it (Figs 23–25). The character combination used historically to diagnose H. (Hydaticinus) is the absence of fine punctures on the anterior surfaces of the metafemur and metatibia combined with a linear series of bifid setae on the posterior surface of the metatibia (Fig. 13). This combination makes it similar to both Hydaticus s. str. and H. (Guignotites). Evidence from this analysis, however, strongly indicates that the species is nested within H. (Guignotites), is closely related to several other Neotropical hydaticines (Figs 23–25), and is sister to the species H. (G) subfasciatus. The linear series of metatibial setae is a reversal (Fig. 25). Hydaticus (Pleurodytes), with two Oriental species, is characterized by a very broad elytral epipleuron (Fig. 3), a unique habitus (Fig. 2), and uniformly black dorsal colouration (Fig. 2), a unique feature within Hydaticini. Evidence presented here indicates that it is nested within H. (Guignotites) and is closely related to several other Oriental hydaticines (Figs 23–25). The unique features exhibited by these two species are apomorphic within H. (Guignotites). The main features characterizing Prodaticus are the subequal metatarsal claws and a substantially larger number of small, protarsal adhesive discs in the male than other species of Hydaticini. In most respects, Prodaticus specimens are similar to H. (Guignotites) specimens. They lack fine punctation on the anterior surfaces of the metafemur and metatibia, there is a small, linear brush of setae on the ventral surface of mesotarsomere I in the male, and the posterior line of setose punctures on the metafemur are dense and in a well defined line. Our analyses is conclusive in that it is nested well within H. (Guignotites) with high support values. The linear series of setae on the posterior surface of the metatibia, however, is in a line parallel to the dorsal margin as in Hydaticus sensu stricto, necessesarily interpreted as independently evolved. These results suggest the basis for an improved classification for the tribe Hydaticini. Because of the clear evidence for two large, well defined clades (Figs 23–25), we propose recognition of two genera within Hydaticini, Hydaticus and Prodaticus. The groups Prodaticus, H. (Pleurodytes) and H. (Hydaticinus) are clearly nested within a larger clade corresponding to the group H. (Guignotites) (Figs 23–25). Of the genus-group names Prodaticus, Hydaticinus, Pleurodytes and Guignotites, Prodaticus is the oldest name and has priority. Therefore, the following new genus group synonymies are established: Guignotites Brinck 1943, Pleurodytes Régimbart (1899) and Hydaticinus Guignot 1936 = Prodaticus Sharp (1882) new synonyms. Genus Hydaticus Leach 1817 Hydaticus Leach 1817, type species: Dytiscus transversalis Pontoppidan 1763, by subsequent designation of Curtis 1825. Icmaleus Gistel 1856, type species: Dytiscus transversalis Pontoppidan 1763, by subsequent designation of Nilsson & Roughley 1997. Diagnosis. Hydaticus includes species of Hydaticini with the following character combination: (1) anterior surfaces of metafemur and metatibia with fine punctation (Fig. 9) (2) series of bifid setae on posterior surface of metatibia in a linear series, approximately parallel to dorsal margin (Fig. 12), (3) basal brush of setae on male mesotarsomere I large, forming a broad brush (Fig. 15), and (4) gonocoxae of female apically sharply acute, knifelike (Fig. 20). Taxon content. This genus includes seven species, two in the eastern Nearctic region (H. cinctipennis and H. piceus), four in the Palearctic region (H. transversalis, H. continentalis, H. seminiger and H. schelkovnikovi Zaitzev) and one Holarctic species (H. aruspex). Discussion. This small, but distinctive, genus includes nearly the entire Holarctic element in the Hydaticini. In contrast to the largely tropical Prodaticus, the seven species in this group are north temperate occurring in cold pools including bogs and fens. Several of the species are well-known in North America and Europe and there are good revisions including most of the species such as those by Roughley & Pengelly (1981), Nilsson (1981, 1996), Nilsson & Holmen (1995) and Zimmermann & Gschwendtner (1937). Genus Prodaticus Sharp, 1882 Prodaticus Sharp (1882); type species: Prodaticus pictus Sharp (1882), by monotypy. Pleurodytes Régimbart (1899); type species: Hydaticus dineutoides Sharp (1882), by monotypy, new synonym. Isonotus Guignot 1936, type species: Dytiscus vittatus Fabricius 1775 by original designation, preoccupied, replaced by Guignotites Brinck 1943. Guignotities Brinck 1943, type species: Dytiscus vittatus Fabricius 1775 according to Article 67.8 of the Code, new synonym. Hydaticinus Guignot 1950, type species: Hydaticus rectus Sharp (1882) (= Dytiscus xanthomelas Brullé 1838 by original designation, new synonym. © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 17 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Diagnosis. This taxon is diagnosible within Hydaticini based on the combination of: (i) anterior surfaces of metafemur and metatibia without fine punctation (plesiomorphic within Hydaticini) (ii) series of bifid setae on posterior surface of metatibia curved ventrad proximally (Fig. 14), except in the Neotropical P. xanthomelas (Fig. 13) and the Palaearctic P. pictus and P. africanus Rocchi which have this series in a nearly straight line (iii) basal brush of setae on male mesotarsomere I small, linear (Fig. 16), (iv) posterior surface of metafemur with well defined, curved line of dense, short setae (Fig. 16), and (v) gonocoxae of female apically relatively broad (not strongly knifelike) (Figs 21 and 22). Additional characters used historically are difficult to homologize such as the degree of angle of the posterolateral angles of the pronotum (Roughley & Pengelly 1981). Although Hydaticus specimens have this angle approximating 90° and many Prodaticus have this angle much more acute and directed posteriorly, Prodaticus species also exhibit a broad range of angles, some approaching an angle similar to Hydaticus. This character was not coded in this analysis. Taxon content. Prodaticus includes nearly 130 diverse species from throughout the tropical portions of the world with a few occurring in the Holarctic region. Species previously placed in H. (Guignotites), H. (Pleurodytes) and H. (Hydaticinus) are members of this group. There are several distinct clades within Prodaticus, but division into subgenera would be difficult at this time with the available character and taxon sampling. However, informal species groups are useful and described below. Discussion. Prodaticus pictus and P. africanus were previously placed in their own genus. The most distinctive characters present in the two species are apomorphic such as the larger number of small adhesive setae on pro- and mesotarsomeres I–III, unique colouration, and subequal metatarsal claws. The species lack the fine punctation on the anterior surfaces of the metatibia and metafemur and the series of bifid setae on the posterior surface of the metatibia is linear, not curved as in most other species of Prodaticus, though at least some of these, such as P. parallelus and P. rectus, have this series of setae linear, as well. Our results strongly indicate that P. pictus is nested well within species historically placed in H. (Guignotites) and these names are synonymized here. As Prodaticus has priority, it is the valid name of this taxon. Species of Prodaticus previously in H. (Guignotites) have been divided into several informal, and, in some cases, overlapping species groups (Guignot 1961; Satô 1961; Wewalka 1975, 1979). In many cases, these groups appear to circumscribe clades, but in many cases they do not (Fig. 26). Because of our limited sampling of these groups and obvious problems with their status as monophyletic entities, we have elected not 18 to assign all our species to groups. However, several groups are clearly monophyletic, and we believe that it is useful to recognize and discuss them. Of the informal species groups delimited by Guignot (1961), only the P. sexguttatus group is not included in this study, and it is not clear to which of the included taxa members of this group may be most closely related. The P. vittatus group (Fig. 26) is one of the most recognizable groups within Prodaticus. Most of its members are characterized by the pronotum yellow and black and the elytron black with two lateral yellow stripes that meet posteriorly (Fig. 4; Char. 6). The group occurs from southern Africa through India and the Oriental Region to Australia. The species are, in some cases, very similar and numerous subspecies have been described. Despite having had focused investigation (Satô 1961; Wewalka 1975), the taxonomy of the group requires additional work. Old records are not reliable because of misidentification of similar species and nomenclatural problems. The P. vittatus group as now defined is an OrientalAustralian-Palearctic clade, with only P. bivittatus reaching the Afrotropical region. Significantly, the species P. dineutoides Sharp is resolved nested within the Oriental clade (Figs 23–25). This species, along with P. epipleuricus Régimbart, has historically been placed in the subgenus H. (Pleurodytes). Although unique in the group by being entirely black (Fig. 2), having very broad epipleurae (Fig. 3), and a distinctive habitus (Figs 2 and 3). Prodaticus dineutoides is very convincingly nested within Prodaticus and the P. vittatus group (Figs 23–25). The P. speciosus group is similar in many respects to the P. vittatus group and is resolved as its sister (Fig. 26). This group includes some of the largest hydaticine species. Most members of this group are longitudinally vittate on the elytra or have a single lateral stripe along the elytra. The P. fabricii group (Fig. 26) was revised by Wewalka (1979). Most of the species in this group are uniformly irrorate on the elytra and yellow on the pronotum, though some have more extensive black regions. The main character uniting its members is the median lobe of the aedeagus which has a dense brush of setae at its apex (Fig. 19; Char. 27). The P. fabricii group occurs in the southern Palaearctic, Oriental and northern Australian regions with numerous closely related species occurring throughout the Pacific Islands. In the analysis, this group is resolved as sister to P. wattsi Daussin and near relative of P. grammicus (Germar), which are not particularly similar in general characteristics including male genitalia. They lack the defining morphological features of the P. fabricii group (notably the setal brush at the apex of the male median lobe (Fig. 19)). Prodaticus concolor Sharp (not included in this analysis) was regarded as closely related to the P. fabricii group by Wewalka (1979) despite lacking the setal brush. This suggests that these taxa collectively may represent a natural group despite the lack of known Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice Fig. 26 Hydaticini clade from consensus of two most parsimonious trees showing correspondence with previous classifications (Wewalka 1975, 1979; Guignot 1961; Nilsson 2001) and a new classification system based on this analysis. morphological synapomorphies. Support for this clade is relatively high (Figs 23–25). Sister to the P. fabricii group is a clade including the likewise rather uniformly irrorate species in the P. leander group from African and Palaearctic regions. This group corresponds with the P. leander/leander group of Guignot (1961). The P. subfasciatus group (Fig. 26) is united by only DNA sequence characters, but it unites all included New World © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 19 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Prodaticus. There are numerous additional species of Prodaticus in the Neotropical region that were not included, and future additional phylogenetic tests may prove interesting by determining whether all New World Prodaticus are together monophyletic. The only truly Nearctic species in Prodaticus, P. bimarginatus (Say), is a member of this group. This group includes the species P. xanthomelas (Brullé) which was previously placed in the subgenus H. (Hydaticinus). Support for its placement with other Neotropical Prodaticus and as sister to P. subfasciatus Laporte is strong (Figs 23–25). Several other groups appear to be strongly supported monophyletic groups based on DNA sequence characters and morphological features which are not discrete (see Fig. 26 for classification of groups). The P. luczonicus group includes large dark Oriental and northern Australian species with a general elytral colour pattern of a lateral yellow border, a subbasal and postmedian bands and a subapical spot (Régimbart 1899). The P. caffer group corresponds with the P. leander/ sobrinus group of Guignot (1961) and includes numerous irrorate species from Africa. This group also includes the widespread African and Arabian P. dorsiger Aubé from the P. leander/leander species group of Guignot (1961). The Australian P. parallelus Clark and Madagascar endemic P. nigrotaeniatus Régimbart do not seem to have any close relatives among the sampled species (see above). Character evolution One of the most distinctive and consistent synapomorphies for the tribe Hydaticini is the straight anterolateral margin of the metasternum (the anterior margin of the metasternal wing) (Fig. 7; Char. 24). This feature is not found in similar form elsewhere within Dytiscidae (where it is convex to varying degrees, e.g. Fig. 8), and appears to be present in all Hydaticini. A series of bifid setae on the posterior surface of the metatibia is an important character system (Char. 19) for members of Dytiscinae and related taxa (Miller 2000, 2001, 2003; and references therein). In Hydaticini, members of Hydaticus have this series parallel to the dorsal margin of the metatibia (Fig. 12), a plesiomorphic state. One species, H. cinctipennis Aubé, has the series slightly curved ventrad basally, but not to as great a degree as in Prodaticus. Members of Prodaticus have the series distinctly curved ventrad basally (Fig. 14), except P. xanthomelas, P. parallelus, P. pictus and P. africanus, which have the series similar to Hydaticus (Fig. 13). This was (in part) the basis for placement of P. xanthomelas in its own subgenus and P. pictus and P. africanus in their own genus, but the state is a reversal in these taxa (Fig. 25). Prodaticus specimens also have a dense, irregular line of setae that is also parallel to the dorsal margin of the metatibia. There seems to be a general relationship of curvature of this line of setae to a shortening of the metafemur (Figs 12–14). Members of Aciliini and Eretini, 20 which have very short metafemora, have the line of bifid setae short and oblique to the dorsal margin of the metatibia (Miller 2000, 2001, 2003). Guignot (1961) and Roughley & Pengelly (1981) emphasized a structure in the male they called an ‘epipenite’ in the classification of genera within Hydaticini. This sclerite is closely associated with the preputial membrane which extends between the ventral margins of the lateral lobes. They proposed that a ventral position of the epipenite (on the ventral surface of the preputial membrane) is a synapomorphy of Hydaticus whereas a dorsal position of the epipenite (on the dorsal surface of the preputial membrane) is a synapomorphy of Prodaticus. As suggested by Roughley & Pengelly (1981), and as demonstrated by Miller (2000, 2001) the epipenite is homologous with the ventral sclerite of the male median lobe in other dytiscines. This sclerite forms the ventral surface of a tube through which the spermatophore is passed. The ventral sclerite is reduced in Aciliini, Aubehydrini, Eretini and Hydaticini when compared with Cybistrini, Dytiscini and Hyderodini and is incorporated more thoroughly into a membrane, the preputial membrane, extending between the lateral lobes (Miller 2000, 2001, 2003). Based on examination of many species of Hydaticini, it appears that the shape of the apex of the ventral sclerite varies between species, but its position on the dorsal or ventral surface of the preputial membrane is not a reliable character. Rather than being orientated dorsally or ventrally, instead it appears that the ventral sclerite is variously incorporated into the membrane, but in a continuous manner across Hydaticini. This character was not coded for analysis. Colour patterns have been important for classifying species in Hydaticini, but most are difficult to homologize across taxa. Only two characters were coded here, the presence or absence of two lateral, longitudinal yellow stripes uniting posteriorly (Fig. 4; Char. 6), which characterizes the P. vittatus group (except P. dineutoides) (Fig. 25), and the presence or absence of a transverse yellow basal band (Figs 1 and 6; Char. 5). This last feature is homoplasious within Hydaticini with at least five origins and three subsequent losses (Fig. 26), and many taxa are dimorphic for this feature. Other than this, members of Hydaticini range from entirely black (Fig. 2) to irrorate to varying degrees (e.g. Fig. 5) to dramatically marked with maculae or stripes (e.g. Figs 1, 4 and 6). Colour patterns may exhibit some evolutionary response to habitat, such as living in rock pools or on mineral substrates (Young 1960; Larson 1996). Colour patterns are often species specific and useful for diagnoses, and some larger groups may be defined by general colour patterns, such as the P. vittatus group or the P. fabricii group which has members which are nearly uniformly irrorate. However, many groups exhibit considerable variety in colour patterns, and species often vary across their ranges. Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice Members of this tribe have characters suggesting that a form of sexual conflict has influenced the evolution of their behaviour and morphology (Miller 2003). Males have suckershaped pro- and mesotarsal adhesive setae used to better adhere to female dorsal surfaces, whereas females have the pronotum and humeral angles of the elytron modified with deep cavities and irregular grooves which presumably inhibit the ability of the male sucker-setae to adhere (Miller 2003). The female modifications are often continuously variable between individuals in a given population of a species from nearly unmodified to strongly modified (Roughley & Pengelly 1981). Presumably, this set of characters represents, in part, an intersexual ‘arms race’ as each sex seeks to gain greater control over the decision to mate (Alexander et al. 1997). However, an additional sexual dimorphism exhibited in this group is an apparent stridulatory device on male prolegs comprised of a series of pegs on the dorsomedial margin of the tibia and a field of reticulate pits on the dorsal surface of tarsomere I (Fig. 10; Char. 7). The stridulatory device appears to have been lost in some species of Prodaticus including P. dregei (Aubé) (Larson 1996), and P. ugandaensis (Guignot) (Fig. 25). The presence of a stridulatory device in most Hydaticini, which is presumably a means for males to signal to potential mates, would seem to be discordant with the normal view of sexual conflict. This is because females who respond to a signalling male have presumably already made the decision to mate and would be unlikely to resist male mating attempts. Although a phylogenetic analysis is unlikely to fully clarify some of the seemingly conflicting evolutionary issues surrounding sexual conflict in Hydaticini, having a well-founded phylogenetic hypothesis could provide a better understanding of the historical constraints and order of evolution of features associated with the scenario. Revised classification of Hydaticini For full details regarding taxon names, refer to Nilsson (2001). Hydaticini Sharp, 1882 Hydaticus Leach, 1817 Icmaleus Gistel, 1856 Prodaticus Sharp, 1882 Guignotites Brinck, 1943, new synonym Isonotus Guignot, 1936 (pre-occupied) Hydaticinus Guignot, 1950, new synonym Pleurodytes Régimbart, 1899, new synonym Key to genera of Hydaticini 1 Metafemur with dense, fine punctation on anterior surface, metatibia with numerous large, setose punctures and also dense, fine punctation on anterior surface (Fig. 9); series of bifid setae on posterior surface of metatibia in linear series, parallel to dorsal margin (Fig. 12), in one known species, ??, series perceptively curved; basal brush of setae on mesotarsomere I in form of large brush (Fig. 17); posterior surface of metafemur with irregular series of punctures (Fig. 15); female gonocoxae together sharply acute, knifelike (Fig. 20) .............................................................................................................................Hydaticus Leach 1′′ Metafemur without fine punctation on anterior surface, metatibia with only large, setose punctures and no fine puncation on anterior surface; series of bifid setae on posterior surface of metatibia parallel to dorsal margin (Fig. 13) or curved ventrad basally (Fig. 14); basal brush of setae on mesotarsomere I in small, linear series (Fig. 18); posterior surface of metafemur with regular, dense series of setose punctures in curved line (Fig. 16); female gonocoxae together apically broader, not strongly knifelike (Figs 21 and 22). .............................................................................................................................................. Prodaticus Sharp Acknowledgements Authors thank the following individuals for help with specimens, field work and other aspects of support for various projects: M. Balke, O. Brekhov, K. Binder, S.L. Cameron, J.R. Cryan, C. Deschodt, I. & J. Hansen, T. Kondo, T.L. McCabe, M. Michat, G. Morse, A.N. Nilsson, M. Satô, C. Scholtz, G.J. Svenson, J.M. Urban, Y. Utsenomyia, C.H.S. Watts, Q.D. Wheeler, and G.W. Wolfe. We thank E. Marais of the National Museum of Namibia for advice and permit arrangements, and J. Patterson of the Skeleton Coast National Park in Namibia. Authors thank the staves at Explorers Inn and Posada Amazonas, Tambopata Reserve, Peru. Thanks to J. Ledezma, Museo de Historia Natural ‘Noel Kempff Mercado’, Santa Cruz, Bolivia. Thanks also to A. Southwood, Department of Economic Affairs, Environment and Tourism, Greenacres, E. Cape Prov., S. Africa, for permit arrangements. Financial research support for KBM and MFW came in part from National Science Foundation grants #DEB0073088, #DEB-9983195, #DEB-0329115 and #DEB-0515924. Financial support to JB came from Helge Ax:son Johnsons Stiftelse and Stiftelsen J.C. Kempes Minnes Stipendiefond. References Abdo, Z., Minin, V. N., Joyce, P. & Sullivan, J. (2005). Accounting for uncertainty in the tree topology has little effect on the decisiontheoretic approach to model selection in phylogeny estimation. Molecular Biology and Evolution, 22, 691–703. Alexander, R. D., Marshall, D. C. & Cooley, J. R. (1997). Evolutionary perspectives on insect mating. In J. Choe & B. Crespie (Eds) Mating Systems in Insects and Arachnids (pp. 4–31). Cambridge, UK: Cambridge University Press. © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 21 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Alfaro, M. E. & Huelsenbeck, J. P. (2006). 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Female cuticular modification: (0) not modified as following; (1) Pronotum and humeral angles of elytron with deep, irregular grooves and pits. Since the unique modifications to the pronotum and elytron present in Dytiscus marginalis, Hyderodes shuckardi, and Thermonectus succinctus are apomorphic we have not coded them. Elytron 4. Apicoventral setal patch on elytron: (0) absent; (1) present. 5. Transverse basal macula on elytron: (0) absent; (1) present (Figs 1 and 6). 6. Two longitudinal yellow lines on black elytron: (0) absent; (1) present (Fig. 4). © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 23 Hydaticini phylogeny & data partition choice • K. B. Miller et al. Prolegs 7. Protarsal stridulatory device: (0) absent; (1) present. Males of many Hydaticini have a stridulatory device on the front legs in the form of a reticulate pattern of pits on the dorsal surface of protarsomere II opposing a series of short, stout pegs on the apicodorsal surface of the protibia (Fig. 10). 8. Accessory medial spinous setae on dorsal surface of basal tarsomere of male: (0) absent (Fig. 10), (1) present (Fig. 11). Males of many Hydaticini species have a series of spines across the dorsal surface of protarsomere I (Fig. 11). These are minute or absent in other species. 9. Male anteroapical protarsal spur: (0) absent; (1) present. 10. Male posteroapical protarsal spur: (0) absent; (1) present. Mesolegs 11. Basal brush of setae ventrally on male mesotarsomere I: (0) absent; (1) present (Figs 17 and 18). 12. Basal brush of setae ventrally on male mesotarsomere I: (0) small (Fig. 18), (1) large (Fig. 17). This is coded as inapplicable (‘–’) in taxa lacking the basal brush of setae. 13. Posteroapical marginal setae on mesotibia: (0) absent medially; (1) present in a continuous line. Metalegs 14. Metacoxal process and medial portion of metacoxa: (0) not deeply concave laterally, metacoxa entirely visible near base of metafemur (Fig. 7); (1) deeply concave laterally such that a portion of metacoxa not visible when viewed in ventral aspect (Fig. 8). 15. Anterior surface of metafemur: (0) without punctures or with few, large punctures; (1) with many small punctures interspersed among few large punctures (Fig. 9). 16. Posterior surface of metafemur: (0) with series of punctures sparse and in poorly defined line (Fig. 15), (1) with series of punctures distinctly setose, dense and in well defined curved line (Fig. 16). 17. Metatibial spurs: (0) simple; (1) bifid. 18. Anterior surface of metatibia: (0) with only large, setaebearing punctures or without punctures; (1) with many fine punctures (Fig. 9). 19. Posterodorsal series of setae on metatibia: (0) a linear series, nearly parallel to dorsal margin of metatibia (Figs 12 and 13), (1) a linear series, curved ventrad basally, not parallel to dorsal margin of metatibia (Fig. 14), (2) a closely spaced series oblique to long axis of metatibi. 20. Posteroapical setae on metatibia: (0) simple; (1) bifid (Figs 12–14). 21. Adpressed apical series of setae on anterior and posterior margins of metatarsomeres I–IV: (0) absent; (1) present. 22. Natatory setae on posteroventral margin of metatibia and metatarsomeres of female: (0) absent; (1) present. 23. Metatarsal claws: (0) different lengths, anterior claw shorter than posterior; (1) same length. 24 Metathorax 24. Anterior margin of metasternal wings: (0) curved (Fig. 8); (1) straight (Fig. 7). Abdomen 25. Series of transverse carinae dorsally on abdominal segment II: (0) absent; (1) present. Male genitalia 26. Setae along apicoventral margin of male median lobe: (0) absent; (1) present. 27. Apical setal clump on median lobe: (0) absent; (1) present (Fig. 19). Female genitalia 28. Gonocoxae: (0) not knifelike (Figs 21 and 22), (1) knifelike (Fig. 20). 29. Subapical setal pencil on gonocoxa: (0) absent; (1) present (Figs 20–22). Larva habitus 30. Body shape: (0) not jackknifed; (1) jackknifed, abruptly bent medially. Larva head 31. Occipital foramen: (0) not deeply excised; (1) deeply excised on dorsal and ventral margins. 32. Stemmata: (0) not different in size; (1) different in size, two ocelli very large. 33. Cardo of maxilla: (0) narrow, without row of long setae; (1) very broad, with medial and lateral margins bearing long setae. 34. Number of maxillary palpomeres (of subdivided ones, and not including the palpiger): (0) 4; (1) 5; (2) 6; (3) 7; (4) 8. 35. Apicomedial margin of labial prementum: (0) unmodified; (1) bilobed, with two projections arising from margin of prementum; (2) with a single, elongate, generally spinous projection. 36. Serrations on mandible: (0) absent; (1) present. Supporting information Additional Supporting Information may be found in the online version of this article: Table S1 Primers used for amplification and sequencing. Table S2 Amplification conditions used in PCR reactions. Table S3 Character correspondence between this analysis and previous published analyses incorporating them. Numbers refer to character numbers in the analyses, those marked with “–” were not included in the prior analysis. Table S4 Data matrix of assigned states of 36 morphological characters for 54 species of Dytiscidae. Characters marked with “+” are additive. Characters coded as “−” are inapplicable. Characters coded with “?” are unobserved. Characters coded with “*” are polymorphic and equal states 0 and 1. Zoologica Scripta, 2009 • © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters K. B. Miller et al. • Hydaticini phylogeny & data partition choice Table S5 Aligned portions of wingless and COI showing positions of indels. Table S6 Model for each of 35 partitions used in 9 partitioning schemes as chosen based on different criteria. MrModeltest (Nylander, 2004a, = MrM in table) uses four ways of traversing parameter space (Posada & Crandall, 2001) to select one of 24 models implemented in MrBayes. MrAIC (Nylander, 2004b) selects a model based on AIC, AICc or BIC but likelihood scores are estimated with PHYML searches under each model. The maximum is GTR+I+G and minimum is JC for all tests. Table S7 The log of the harmonic mean of sampled likelihood values (HME) and number of free parameters (P) in selected models for partitions × model choice combinations. MrM = MrModeltest. Note that branch length is not included in number of free parameters. For the calculation of number of free parameters each GRT+I+G model gives 10 free parameters (5 for the substitution matrix, 3 for the base frequencies, and one each for the alpha and invariable sites parameters) + the number of partitions – 1 for the among partition rate multipliers. Entries marked with * were calculated from one run that had reached a better space than the second run. Table S8 Tests based on log of estimated harmonic mean of likelihoods (see Table 9) for partitions × model choice combinations showing 2*Ln Bayes Factor and the increase in Ln L as a ratio with the increase in number of free parameters (ΔLn L/ΔP) for several comparisons. BF < 0 indicates less partitioned model has highest HME; ΔLn L/ΔP = ∞ indicates second model partition in comparison with less parameters than first; NA = # free parameters equal. Please note: Wiley-Blackwell are not responsible for the content or functionality of any supporting materials supplied by the authors. Any queries (other than missing material) should be directed to the corresponding author for the article. © 2009 The Authors. Journal compilation © 2009 The Norwegian Academy of Science and Letters • Zoologica Scripta, 2009 25 Table S1. Primers used for amplification and sequencing. Gene Primer Direction Sequence (5’-3’) COI C1-J-1718 (“Mtd6”) 1 For GGA GGA TTT GGA AAT TGA TTA GTT CC COI 1 Rev CAA CAT TTA TTT TGA TTT TTT GG 1 Rev TCC AAT GCA CTA ATC TGC CAT ATT A For GGA TCA CCT GAT ATA GCA TT CCC Rev CCC GGT AAA ATT AAA ATA TAA ACT TC C1-J-2183 (“Jerry”) COI TL2-N-3014 (“Pat”) COI 1 C1-J-1751 (“Ron”) 1 COI C1-N-2191(“Nancy”) COI NabCOI-R Rev GCT ACT ACA TAA TAT GTA TC COII F-lue 2 For TCT AAT ATG GCA GAT TAG TGC COII 2 Rev GTA CTT GCT TTC AGT CAT CTW ATG Rev GAG ACC AGT ACT TGC TTT CAG TCA TC For ATG GCT CGT ACC AAG CAG ACG GC Rev ATA TCC TTG GGC ATG ATG GTG AC For GAR TGY AAR TGY CAY GGY ATG TCT GG 9b COII R-lys H3 Haf3 H3 3 Har 2 4 Wnt LepWg1 Wnt LepWg2a4 Rev ACT ICG CAR CAC CAR TGG AAT GTR CA Wnt 5 For CGY CTT CCW TCW TTC CGW GTY ATC 5 Rev CCG TGG ATR CTG TTV GCH AGA TG Wnt WgDytF1 WgDytR1 1 4 2 5 Simon et al. (1994) Whiting (2002) 3 Colgan et al. (1998) Brower and Egan (1997) Miller (2003) Table S2. Amplification conditions used in PCR reactions. H3 Hot start Denature 95º (12min) 94º (0.5min) 48-50º (1min) 70º (1.5min) COI, COII 95º (12min) Wnt 94º (1min) 95º (12min) Taq Gold / HotMaster 94º (1min) 95º (2min) Taq Platinum Anneal Extension Cycles 40 50-52º (1min) 60-68º (1.5min) 40 46-54º (1min) 70º (1.5min) 40 Table S3. Character correspondence between this analysis and previous published analyses incorporating them. Numbers refer to character numbers in the analyses, those marked with “−” were not included in the prior analysis. Miller et al., Character Miller, 2000 Miller, 2001 Miller, 2003 1 − 40 4 2 1 34 3 1 3 − − − 8 4 8 71 8 6 5 − − − − 6 − − − − 7 − − 19 − 8 − − 20 − 2007 − 9 11 75 16 − 10 12 76 17 11 11 − − 27 − 12 − − 28 − 13 15 − 22 13 14 6 89 32 19 15 − − 38 − 16 − − 37 − 17 30 93 39 − 18 − − 42 − 19 29 82 44 23 20 32 83 46 − 21 34 97 50 − 22 36 98 51 24 23 35 101 52 25 24 5 − 14 − 25 7 59 15 5 26 − − 56 30 27 − − − − 28 42 − 63 − 29 44 − 65 37 30 − − 69 − 31 − − 72 − 32 − − 73 − 33 − − 76 − 34 − − 79 41 35 − − 80 42 36 − − 90 − Table S4. Data matrix of assigned states of 36 morphological characters for 54 species of Dytiscidae. Characters marked with “+” are additive. Characters coded as “-” are inapplicable. Characters coded with “?” are unobserved. Characters coded with “*” are polymorphic and equal states 0 and 1. 0000000001 1111111112 2222222223 333333 1234567890 1234567890 1234567890 123456 + Dytiscus verticalis 1101000001 0-01000000 001011010? ?????? Hyderodes shuckardi 0100000000 1101000000 0010100110 000200 Notaticus fasciatus 0100000000 0-11000001 1100000100 000-0- Graphoderus liberus 0100000000 0-10001021 1100000011 111021 Eretes australis 0100000000 0-00000021 0100000011 111021 Hydaticus aruspex 0110*01000 1110100101 1101000110 000110 H. cinctipennis 0110101000 1110100101 110100011? ?????? H. continentalis 0110101000 1110100101 110100011? ?????? H. seminiger 0110001000 1110100101 1101000110 000110 H. transversalis 0110101000 1110100101 110100011? ?????? H. bihamatus 0110101100 1010010011 110100001? ?????? H. bimarginatus 0110001000 1010010011 110100001? ?????? H. bivittatus 0110011000 1010010011 110100001? ?????? H. bowringii 0110011000 1010010011 110100001? ?????? H. caffer 0110001100 1010010011 110100001? ?????? H. capicola 0110001100 1010010011 110100001? ?????? H. consanguineus 0110001100 1010010011 110100101? ?????? H. dineutoides 0110001000 1010010011 110100001? ?????? H. dorsiger 0110001100 1010010011 110100001? ?????? H. exclamationis 0110001000 1010010011 110100001? ?????? H. fabricii 0110001100 1010010011 110100101? ?????? H. flavolineatus 0110101000 1010010011 110100001? ?????? H. galla 0110001100 1010010011 110100001? ?????? H. grammicus 0110001100 1010010011 1101000010 000110 H. humeralis 0110001000 1010010011 110100001? ?????? H. lativittis 0110001000 1010010011 110100001? ?????? H. leander 0110001100 1010010011 110100001? ?????? H. litigiosus 0110001100 1010010011 110100001? ?????? H. luczonicus 0110101100 1010010011 110100001? ?????? H. major 0110011000 1010010011 110100001? ?????? H. maturelis 0110001100 1010010011 110100001? ?????? H. nigrotaeniatus 0110001000 1010010011 110100001? ?????? H. orissaensis 0110101100 1010010011 110100001? ?????? H. parallelus 0110001000 1010010011 1101000010 000110 H. philippensis 0110011000 1010010011 110100001? ?????? H. quadrivittatus 0110011000 1010010011 110100001? ?????? H. rhantoides 0110001100 1010010011 110100101? ?????? H. ricinus 0110001100 1010010011 110100101? ?????? H. rimosus 0110*01000 1010010011 110100001? ?????? H. rivanolis 0110001100 1010010011 110100101? ?????? H. satoi 0110011000 1010010011 110100001? ?????? H. servillianus 0110001100 1010010011 110100001? ?????? H. speciosus 0110101000 1010010011 110100001? ?????? H. subfasciatus 0110101000 1010010011 110100001? ?????? H. ugandaensis 0110000000 1010010011 110100001? ?????? H. ussherii 0110101000 1010010011 110100001? ?????? H. wattsi 0110101100 1010010011 110100001? ?????? H. vittatus 0110011000 1010010011 110100001? ?????? H. xanthomelas 0110101000 1010110001 110100001? ?????? Prodaticus pictus 0110001000 1010010001 111100001? ?????? Table S5. Aligned portions of wingless and COI showing positions of indels. Taxon Position 106-168 of aligned wingless Dytiscus marginalis CGTTGGCAGTCAACGAGGCGGAAACAGCGCGCACGCTAATACGGCCAATTCAAACTCACATCT Notaticus fasciatus TGCCGGCAGCCAACGCGGGGGAAACAACGCACATGCAAATTC––-AAATGCAAACTCACATCT Eretes australis CGCAGGAAGTCAAAGAAA---------TGCGCACACAAACACAGCCAACGCCAACTCACACTT Hydaticus aruspex TGCTGGCAGTCAGCGAGGCGGAAACAGCGCGCACGCTAACAACGCAAATTCCAACTCACATCT Hydaticus bimarginatus TGCTGGCAGCCAGCGAGGCGGAAACAGCGCGCACGCTAACAACGCAAATTCCAACTCACATCT Position 304-342 and 379-408 of aligned COI Dytiscus marginalis TTGATCAGTAGGAATTACAGCTCTTTTACTATTATTATC, AACTGATCGAAATTTAAATACTTCATTCTT Thermonectus succinctus ATGATCGGTCGGAATTACTGCTTTATTATTATTATTATC, AACAGACCGAAATTTAAATACTTCATTTTT Hydaticus aruspex CTGATCAGTAGGGATTACAGCTCTTTTATTACTCTTATC, AACTGATCGAAATTTAAATACATCATTTTT Hydaticus bihamatus TTGATCAGCTTT---------ATTATTATTATTATTAAC, AACTGATCGACATTTAAATAC---ATTATT Hydaticus grammicus TTGATCAGTAGGAATTACAGCTTTATTATTATTATTATC, AACTGATCGAAATTTAAATACGTCATTTTT Table S6. Model for each of 35 partitions used in 9 partitioning schemes as chosen based on different criteria. MrModeltest (Nylander, 2004a, =MrM in table) uses four ways of traversing parameter space (Posada & Crandall, 2001) to select one of 24 models implemented in MrBayes. MrAIC (Nylander, 2004b) selects a model based on AIC, AICc or BIC but likelihood scores are estimated with PHYML searches under each model. The maximum is GTR+I+G and minimum is JC for all tests. 4genes coi-coii h3-wnt 1pos. 2pos. 3pos. 12pos coi coii h3 wnt MrM hLRT1 GTR+I+G GTR+I+G SYM+I+G GTR+I+G GTR+I+G GTR+G GTR+I+G GTR+I+G GTR+I+G GTR+I+G SYM+I+G MrM hLRT2 GTR+I+G GTR+I+G SYM+I+G GTR+I+G HKY+I GTR+G GTR+I+G GTR+I+G GTR+I+G HKY+I+G SYM+I+G MrM hLRT3 GTR+I+G GTR+I+G SYM+I+G GTR+I+G HKY+I+G GTR+I+G GTR+I+G GTR+I+G GTR+I+G GTR+I+G SYM+I+G MrM hLRT4 GTR+I+G GTR+I+G SYM+I+G GTR+I+G HKY+I+G GTR+G GTR+I+G GTR+I+G GTR+I+G HKY+I+G HKY+I+G MrAIC AIC GTR+I+G GTR+I+G GTR+I+G GTR+I+G GTR+I+G GTR+G GTR+I+G GTR+I+G HKY+I+G HKY+I+G GTR+I+G MrAIC AICc GTR+I+G GTR+I+G GTR+I+G GTR+I+G GTR+I+G GTR+G GTR+I+G GTR+I+G HKY+I+G HKY+I+G HKY+I+G MrAIC BIC GTR+I+G GTR+I+G K80+I+G GTR+I+G HKY+I+G GTR+G GTR+I+G GTR+I+G HKY+I+G HKY+I+G HKY+I+G coi-ii1 coi-ii2 coi-ii3 h3-wnt1 h3-wnt2 h3-wnt3 coi-ii12 h3-wnt12 coi-12 coii-12 h3-12 MrM hLRT1 GTR+I+G HKY+I+G GTR+G SYM+I+G JC+I+G HKY+G GTR+I+G SYM+I+G GTR+I+G HKY+I+G SYM+G JC+I+G MrM hLRT2 GTR+I+G HKY+I+G GTR+G GTR+I JC+I HKY+G GTR+I+G GTR+I+G GTR+I+G HKY+I+G K80+I GTR+I MrM hLRT3 GTR+I+G HKY+I+G GTR+G GTR+I+G JC+I+G GTR+G GTR+I+G GTR+I+G GTR+I+G HKY+I+G K80+G JC+I+G MrM hLRT4 GTR+I+G HKY+I+G GTR+G GTR+I JC+I HKY+G GTR+I+G GTR+I+G GTR+I+G HKY+I+G SYM+I GTR+I MrAIC AIC GTR+I+G GTR+I+G HKY+I+G GTR+I+G K80+I+G GTR+G GTR+I+G GTR+I+G GTR+I+G HKY+I+G GTR+G GTR+I+G MrAIC AICc GTR+I+G HKY+I+G HKY+I+G GTR+G JC+G HKY+G GTR+I+G GTR+I+G GTR+I+G HKY+I+G K80+G SYM+G MrAIC BIC GTR+I+G HKY+I+G HKY+G GTR+G JC+G HKY+G GTR+I+G GTR+I+G HKY+I+G HKY+I+G K80+G JC+G coi-1 coi-2 coi-3 coii-1 coii-2 coii-3 h3-1 h3-2 h3-3 wnt-1 wnt-2 wnt-3 wnt-12 MrM hLRT1 GTR+I+G F81+I+G GTR+G GTR+G HKY+I+G HKY+G SYM+G JC HKY+G JC+G JC+I* HKY+G MrM hLRT2 GTR+I+G F81+I GTR+G GTR+G HKY+I GTR+I+G SYM+I JC HKY+G SYM+I JC+I HKY+G MrM hLRT3 GTR+I+G HKY+I+G GTR+G GTR+I+G HKY+I+G GTR+G SYM+G JC GTR+G JC+G JC+I* HKY+G MrM hLRT4 GTR+I+G F81+I GTR+G GTR+G HKY+I GTR+I+G SYM+I JC HKY+G SYM+I JC+I HKY+G MrAIC AIC GTR+G HKY+I HKY+G GTR+I+G HKY+I+G GTR+G GTR+G JC GTR+G GTR+G JC+G GTR+G MrAIC AICc GTR+G HKY+I HKY+G GTR+G HKY+I HKY+G JC JC JC JC+I JC K80+G MrAIC BIC GTR+G HKY+I HKY+G GTR+G HKY+I HKY+G K80+I JC HKY+G JC+I JC+G HKY+G *JC+I+G originally chosen but G removed since estimated shape equals infinity, which implies equal rates among sites. Table S7. The log of the harmonic mean of sampled likelihood values (HME) and number of free parameters (P) in selected models for partitions × model choice combinations. MrM = MrModeltest. Note that branch length is not included in number of free parameters. For the calculation of number of free parameters each GRT+I+G model gives 10 free parameters (5 for the substitution matrix, 3 for the base frequencies, and one each for the alpha and invariable sites parameters) + the number of partitions – 1 for the among partition rate multipliers. Entries marked with * were calculated from one run that had reached a better space than the second run. 1 2 3a 3b 4 5a 5b 7 9 13 HME P HME P HME P HME P HME P HME P HME P HME P HME P HME P MrM hLRT1 -27749 10 -27985 11 -27371 19 -26783 21 -26679 32 -27295 41 -25883 35 -25784 45 -25811 56 -25734 74 MrM hLRT2 -27749 10 -27985 11 -27371 19 -26783 21 -26698 27 -27298 36 -25879 38 -25780 46 -25784 64 -25700 82 MrM hLRT3 -27749 10 -27985 11 -27371 19 -26785 22 -26687 29 -27295 41 -25873 42 -25779 52 -25821 60 -25706 80 MrM hLRT4 -27749 10 -27985 11 -27371 19 -26783 21 -26693 28 -27288 36 -25879 38 -25780 46 -25776 68 -25700 82 MrAIC AIC -27749 10 -27985 11 -27358 22 -26783 21 -26679 32 -27297 36 -25898 39 -25784 54 -25784 75 -25708* 93 MrAIC AICc -27749 10 -27985 11 -27358 22 -26783 21 -26679 32 -27306 32 -25898 35 -25812 43 -25980 44 -25970 53 MrAIC BIC -27749 10 -27985 11 -27374 15 -26783 21 -26693 28 -27306 32 -25895 34 -25802 42 -25861 43 -25759 64 MAX -27749 10 -27985 11 -27358 22 -26785 22 -26681* 33 -27287 44 -25877 44 -25763 66 -25765 88 -25660 132 MIN -33681 0 -33921 1 -33839 2 -30524 2 -33829 4 -30426 4 -30208 6 -30417 8 -30192 12 -30311 3 Table S8. Tests based on log of estimated harmonic mean of likelihoods (see Table 9) for partitions × model choice combinations showing 2*Ln Bayes Factor and the increase in LnL as a ratio with the increase in number of free parameters (ΔLnL/ΔP) for several comparisons. BF < 0 indicates less partitioned model has highest HME; ΔLnL/ΔP = ∞ indicates second model partition in comparison with less parameters than first; NA = # free parameters equal. 2 vs 3a 2 vs 3b 3a vs 3b 3a vs 4 3b vs 4 4 vs 5a 2*Ln ΔLnL/ 2*Ln ΔLnL/ 2*Ln ΔLnL/ 2*Ln ΔLnL/ 2*Ln ΔLnL/ 2*Ln ΔLnL/ 4 vs 5b 5b vs 7 7 vs 9 7 vs 13 5b vs 13 2*Ln ΔLnL/ 2*Ln ΔLnL/ 2*Ln ΔLnL/ 2*Ln ΔLnL/ 2*Ln ΔLnL/ BF ΔP BF ΔP BF ΔP BF ΔP BF ΔP BF ΔP BF ΔP BF ΔP BF ΔP BF ΔP BF ΔP MrM hLRT1 1228 76.8 2404 120.2 1176 294.0 1382 53.2 206 9.4 <0 <0 1592 265.4 199 9.9 <0 <0 101 1.7 300 3.8 MrM hLRT2 1228 76.8 2404 120.2 1176 294.0 1346 84.1 170 14.2 <0 <0 1638 74.4 197 12.3 <0 <0 160 2.2 357 4.1 MrM hLRT3 1228 76.8 2399 109.0 1170 195.1 1367 68.4 197 14.1 <0 <0 1627 62.6 188 9.4 <0 <0 147 2.6 335 4.4 MrM hLRT4 1228 76.8 2404 120.2 1176 294.0 1356 75.3 180 12.9 <0 <0 1628 81.4 197 12.3 9 0.2 160 2.2 357 4.1 MrAIC AIC 1253 56.9 2404 120.2 1152 ∞ 1358 67.9 206 9.4 <0 <0 1562 111.6 230 7.7 <0 <0 151 1.9 381 3.5 MrAIC AICc 1253 56.9 2404 120.2 1152 ∞ 1358 67.9 206 9.4 <0 NA 1563 260.5 171 10.7 <0 <0 <0 <0 <0 <0 MrAIC BIC 1222 152.7 2404 120.2 1182 98.5 1362 52.4 180 12.9 <0 <0 1595 133.0 185 11.6 <0 <0 86 2.0 271 4.5 MAX 1253 56.9 2399 109.0 1146 NA 1355 61.6 209 9.5 <0 <0 1608 73.1 228 5.2 <0 <0 206 1.6 434 2.5 MIN 164 82.0 6793 3396.6 6629 NA 7055 3527.3 425 212.7 <0 <0 <0 <0 435 108.9 <0 <0 34 2.8 469 29.3