Hanley, Cassey & Doucet Appendix 1 Appendix 1 Comparison between museums and measurement protocols When conducting a multi-species comparative study, it is important to consider the sources of variation among the species you are comparing (Garamszegi and Møller 2010). Although interspecific variation is usually greater than intraspecific variation, sources of variation that are not accounted for may introduce biases into datasets, and it is therefore important to consider alternative sources of variation, particularly those introduced due to measurement error and differences in protocol. In this study, we combined two datasets containing reflectance measurements that were obtained with subtly different measurement techniques from four natural history museums (for details, see Methods). To justify combining these datasets, we examine the effect of measurement protocol on the eggshell reflectance spectra we use for our comparative tests. Methods We used a general linear mixed model to examine the effect of species (as a random variable), and museum on the calculated colorimetric variables presented in our paper (brightness, UV chroma, bluegreen chroma, and brown chroma) for species that were measured using both data collection protocols (N = 25 species). Although it is important to control for the influence of phylogeny, each species is represented twice in this analysis, which is not conducive to phylogenetic controls. Therefore, we have chosen to classify species as a random effect, which controls for non-independence. We present the least square means from these analyses to examine the influence of measurement protocol and museum on our analyses. We expect that interspecific variation will be greater than the variation between institutions, just as we expect interspecific variation to be greater than other possible sources of variation (between clutches, between regions on the egg, between eggs collected at different stages, Hanley, Cassey & Doucet Appendix 1 etc.). In addition, if the different measurement protocol used at the Natural History Museum at Tring introduced biases (rather than legitimate differences in egg color), we would expect a post-hoc examination to show that the least square means from this institution are significantly different from all other institutions. Results & Conclusions Although there were differences in eggshell reflectance between museums (Table A1, Fig. A1), there were no consistent differences attributed to measurement protocol (Fig. A2). Moreover, variation attributable to species was far greater than that attributable to the institution that the egg was measured in. This suggests that although there were differences between institutions, possibly due to the individual histories of the specimens, much of the variation represents true differences in colour between the eggs that were collected. These data suggest that for inter-specific comparisons, the combination of data collected with these two measurement protocols was justified, perhaps because the sampling procedure, white standard, and spectrometer configurations were identical. Differences between sampling procedures or spectrometer spectral range could conceivably produce larger differences between reflectance measurements (but see Moreno et al. 2006). Literature cited Garamszegi, L. Z., and A. P. Møller. 2010. Effects of sample size and intraspecific variation in phylogenetic comparative studies: a meta-analytic review. Biol. Rev. 85:797-805. Moreno, J., E. Lobato, J. Morales, S. Merino, G. Tomás, J. Martínez-de la Puente, J. J. Sanz, R. Mateo, and J. J. Soler. 2006. Experimental evidence that egg color indicates female condition at laying in a songbird. Behav. Ecol. 17:651-655. Hanley, Cassey & Doucet Appendix 2 Appendix 2 Phylogenetic reconstruction We used Mesquite (v2.6) to reconstruct a composite supertree (Fig. A3) following a recent hypothesis for the phylogenic relationships among birds (Hackett et al., 2008) for the basis of the major phylogenetic relationships. Within Passeriformes, we based our placement of species on phylogenetic positions suggested by a large-scale (1723 extant species) supertree (Jønsson & Fjeldså, 2006). We relied on a ‘direct’ phylogenetic substitution method; however, not all taxonomic units are monophyletic, therefore we did not rely on taxonomy for the basis of our decision, but instead relied on available published molecular (or combined molecular and morphological) phylogenies for species placement. When the exact placement of a species was ambiguous the species were collapsed into a polytomy. We recognize that other techniques for supertree construction that take conflicting hypotheses on phylogenetic positions into account (Bininda-Emonds et al., 2002). Matrix representation with parsimony (MRP) is one such technique and is the most popular method for what is referred to as ‘indirect’ supertree construction (Baum, 1992; Ragan, 1992). This method has already been applied broadly (Bininda-Emonds et al., 2002; Bininda-Emonds, 2004) and can utilize all available information from published phylogenies to arrive at the best possible current hypothesis and therefore is more objective and repeatable than previous methods. Both ‘direct’ and ‘indirect’ methods have advantages and drawbacks (Sanderson et al., 1998); however, we choose to rely on a ‘direct’ method that will not be overly influenced by poorly resolved or erroneous phylogenetic hypotheses. While future work may provide better resolution to in various lineages of birds that we have collapsed into polytomies within our supertree, we follow the viewpoint Hanley, Cassey & Doucet Appendix 2 that there should be a single correct hypothesis for the relationships between organisms. ‘Indirect’ methods for phylogenetic reconstruction can be thought of as “summaries of summaries” (BinindaEmonds, 2004), however not all source phylogenies adequately approach the truth. In this way, some level of discretion is necessary for both ‘indirect’ and ‘direct’ methods, with ‘direct’ methods allowing for a larger degree of researcher discretion. Direct methods are conservative (Sanderson et al., 1998; Bininda-Emonds et al., 2002), which may be statistically limiting (e.g., lower power). However, we chose to take this conservative approach for resolving the phylogenetic hypotheses, due to the broad interest, and sometimes contentious views of the adaptive evolution of eggshell colouration (Kilner, 2006; Reynolds et al., 2009; Cherry & Gosler, 2010). Here we provide references that we used to decide on the placement of the species in our dataset. We relied on better-resolved phylogenetic information, particularly where more recent information improved upon previous species placement, to form the basis of our phylogeny (Jønsson & Fjeldså, 2006; Hackett et al., 2008). Orders Struthioniformes (Harshman et al., 2008) Tinamiformes (Bertelli & Porzecanski, 2004) Sphenisciformes (Bertelli & Giannini, 2005) Gaviiformes (Boertmann, 1990) Podicepidiformes (Livezey, 1989) Hanley, Cassey & Doucet Appendix 2 Procellariformes (Nunn & Stanley, 1998) Pelecaniformes (Friesen & Anderson, 1997; Kennedy et al., 2000; Kennedy & Spencer, 2004; Hackett et al., 2008) Ciconiiformes Sheldon et al., 1995; Sheldon & Slikas, 1997; Sheldon et al., 2000) Phoenicopteriformes (Hackett et al., 2008) Anseriformes (Johnson et al., 1999; Donne-Goussé et al., 2002) Falconiformes (Griffiths et al., 2004; Lerner & Mindell, 2005; Hackett et al., 2008) Galliformes (Crowe et al., 2006) Gruiformes (Fain et al., 2007) Charadriformes (Whittingham et al., 2000; Thomas et al., 2004; Baker et al., 2007; Hackett et al., 2008) Columbidae (Johnson & Clayton, 2000; Johnson et al., 2001; Shapiro et al., 2002; Clements, 2007; Pereira et al., 2007) Pscittaciformes (de Kloet & de Kloet, 2005; Ericson et al., 2006a; Tavares et al., 2006; Hackett et al., 2008; Wright et al., 2008) Cuculiformes (Veron, 2000; Sorenson & Payne, 2005) Strigiformes (Hackett et al., 2008; Wink et al., 2008) Camprimulgiformes (Barrowclough et al., 2006; Larsen et al., 2007) Apodiformes (Price, 2004; McGuire et al., 2008) Hanley, Cassey & Doucet Appendix 2 Coliiformes (Mayr et al., 2003; Ericson et al., 2006a) Trogoniformes (Hackett et al., 2008) Coraciformes (Moyle, 2006; Hackett et al., 2008) Galbuliformes (Johansson & Ericson, 2003; Mayr et al., 2003) Bucerotiformes (Hackett et al., 2008) Piciformes (Johansson & Ericson, 2003; Mayr et al., 2003; Webb & Moore, 2005) Passeriformes (Subocines) (Irestedt et al., 2004; Moyle et al., 2009a) Passeriformes (Oscines) (Murray et al., 1994; Lanyon & Omland, 1999; Lovette, 1999; Omland et al., 1999; Zink et al., 1999; Cicero & Johnson, 2001; Cicero & Johnson, 2002; Lovette, 2002; Yuri & Mindell, 2002; Carson & Spicer, 2003; Cibois, 2003; Ericson & Johansson, 2003; Barker, 2004; Barker et al., 2004; Cibois, 2004; Sheldon et al., 2005; Alström et al., 2006; Ericson et al., 2006b; Jønsson & Fjeldså, 2006; Mann et al., 2006; Pasquet et al., 2006; Arnaiz-Villena et al., 2007; Barker, 2007; Bonaccorso & Peterson, 2007; Klicka & Spellman, 2007; Lovette & Rubenstein, 2007; Nguembock et al., 2007; Voelker et al., 2007; Chaves et al., 2008; Jønsson et al., 2008; Ohlson et al., 2008; Spellman et al., 2008; Voelker & Klicka, 2008; da Costa et al., 2009; Gelang et al., 2009; Irestedt et al., 2009; Moyle et al., 2009b; Nguembock et al., 2009) Literature Cited Alström, P., Ericson, P.G.P., Olsson, U. & Sundberg, P. 2006. 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Fig. A1 Spectral reflectance of eggshells from species laying white Apus apus A), blue-green Aplonis tabuensis B), and brown Pica pica C) eggshells measured at three institutions using a 45 degree coincident oblique measurement angle (black line ± SE) and the eggs measured at the National History Museum at Tring with a coincident normal measurement angle (red line ± SE). Fig. A2 Brightness A), blue-green B), brown C), and ultraviolet chroma D) from general linear mixed models controlling for species as a random effect and institution (AMNH = American Museum of Natural History, FMNH = Field Museum of Natural History, TRING = National History Museum at Tring, and UMMZ = University of Michigan Museum of Zoology). Data are least squares means ± SE and Tukey HSD post hoc comparisons are indicated in italic letters. Fig. A3 A visual depiction of the phylogeny (to the family level) that formed the basis for our comparative analyses. For convenience, all Passeriformes are shown to the right. We used a ‘direct’ method of supertree construction to build this phylogeny, and relied on both molecular and combined molecular and morphological phylogenies. We follow Jønsson and Fjeldså (2006) for the relationships within Hanley, Cassey & Doucet Appendix 2 Passeriformes. In cases where families were paraphyletic, we used numbers to indicate the position of species that are not grouped with the other representatives of their families (nomenclature follows Clement’s Checklist 6th edition (2007)). Table A1 Brightness UV chroma Blue-green chroma Brown chroma Whole model Species Institution Whole model Species Institution Whole model Species Institution Whole model Species Institution F 24.58 25.95 13.36 19.66 20.42 5.00 25.62 30.00 4.48 24.05 25.12 11.34 r2 0.82 0.79 0.83 0.82 df 28,147 25,175 3,175 28,147 25,175 3,175 28,147 25,175 3,175 28,147 25,175 3,175 P < 0.0001 < 0.0001 < 0.0001 < 0.0001 < 0.0001 0.003 < 0.0001 < 0.0001 0.005 < 0.0001 < 0.0001 < 0.0001 Hanley, Cassey & Doucet Fig. A1 Appendix 2 Hanley, Cassey & Doucet Fig. A2 Appendix 2 Hanley, Cassey & Doucet Fig. A3 Appendix 2