| Literature DB >> 32093609 |
Jon T Merwin1,2, Glenn F Seeholzer3, Brian Tilston Smith3.
Abstract
BACKGROUND: Bird plumage exhibits a diversity of colors that serve functional roles ranging from signaling to camouflage and thermoregulation. However, birds must maintain a balance between evolving colorful signals to attract mates, minimizing conspicuousness to predators, and optimizing adaptation to climate conditions. Examining plumage color macroevolution provides a framework for understanding this dynamic interplay over phylogenetic scales. Plumage evolution due to a single overarching process, such as selection, may generate the same macroevolutionary pattern of color variation across all body regions. In contrast, independent processes may partition plumage and produce region-specific patterns. To test these alternative scenarios, we collected color data from museum specimens of an ornate clade of birds, the Australasian lorikeets, using visible-light and UV-light photography, and comparative methods. We predicted that the diversification of homologous feather regions, i.e., patches, known to be involved in sexual signaling (e.g., face) would be less constrained than patches on the back and wings, where new color states may come at the cost of crypsis. Because environmental adaptation may drive evolution towards or away from color states, we tested whether climate more strongly covaried with plumage regions under greater or weaker macroevolutionary constraint.Entities:
Keywords: Bird; Color; Lorikeet; Macroevolution; Model adequacy; Mosaic evolution; Phylogeny
Mesh:
Year: 2020 PMID: 32093609 PMCID: PMC7041239 DOI: 10.1186/s12862-020-1577-y
Source DB: PubMed Journal: BMC Evol Biol ISSN: 1471-2148 Impact factor: 3.260
Fig. 1Quantifying and plotting plumage color on a phylogeny of lories and lorikeets. a An image of a museum specimen of Chalcopsitta duivenbodei (top), a blank patchmap showing the 35 plumage regions measured from images of museum specimens (middle), and the corresponding patchmap for this exemplar taxon (bottom). b Patchmaps of all taxa (n = 98) plotted on a phylogeny. The tree was split into three sections and the connecting portions are indicated with corresponding filled or empty points. c The tetrahedral color space of the Loriini, which contains four vertices for the four measured reflectance wavelengths: UV (purple, top), short (blue, left), medium (green/yellow, right), and long (orange/red, center). Each point represents one of the 35 color patch measurements for each taxon. The color space was centered slightly towards the longwave (red) vertex of the tetrahedral color space. While the distribution of colors in the color space skews towards the longwave part of the spectrum, it was most variant in the UV spectrum and also exhibits wide variance in the medium-wave spectrum. Colors represent the RGB colors which were mapped onto the real-color patchmaps
Fig. 2Phylogenetic variance-covariance matrix across all 35 patches shows that patch color in discrete morphological regions covary. Darker blue colors represent stronger positive covariance while darker red colors represent stronger negative covariance. Boxes represent hierarchical clusters, estimated using the built-in hclust method in corrplot
Fig. 3Relative model fits show a mosaic of best-fit models across patches for PC1-PC3 (a-c), and that most patches were a good absolute fit to the data. Different colors represent different evolutionary models and only patches with good absolute fits were plotted. The three maximum-likelihood covariant patch regions (modules) are shown in (g). Macroevolutionary models were fit to each module for PC1 (d), PC2 (e), and PC3 (f). Note that no patches or modules were best fit by White Noise models
Fig. 4Patchmaps show within and among patch variability in PC values, model parameters, and best-fit models. PC scale bars at top show axes of color variance encompassed by each PC. Each patch in a patchmap was colored according to values for principal component variance (a), the modeled parameters lambda (b), Brownian Motion rate (c), delta (d) and OU alpha (e), and the best-fit model, after model adequacy (f). The left and right patchmaps within each panel represent PC1 and PC2, respectively. From top to bottom, the darker patches are less variable across taxa (a), have less phylogenetic signal (b), are evolving slower (c), diversified closer to the tips of the tree (d), or were relatively more constrained (e). See Additional file 4: Table S2 for a full listing of model-fit parameters
Fig. 5Visualization of ancestral reconstruction of plumage mechanism and color shows conservation of wing color as green and greater variability in face and breast patches. Top row represents ancestral reconstructions of plumage mechanism for two exemplar patches, the Lores (a) and the Secondaries (b). Overall, pigment was usually present but structural color fluctuated. c represents a continuous character ancestral reconstruction of color for all patches at the basal node to all lorikeets. Note the lighter-reddish-colored underside countershading to the dark green dorsal wings and back, which are conserved across deep nodes and found in most extant lorikeets. Ancestral states were estimated using models from the grouped patch analysis. d represents an example of continuous ancestral reconstruction of a single patch (the lesser coverts) with an arrow pointing to the node from which ancestral states were extracted for each patch. While the colors in (d) were approximated based on a single PC axis, the ancestral colors reported in (c) were calculated based on RGB and UV reflectance simultaneously
Best-fit PGLS models. Overall, wing patches were best predicted by climate, while we found no relationship between face color and biogeographic variables. Models were selected for each patch subset and each color principal component. Coefficients are presented in the order that they are listed under the “predictors” column, with the intercept value as the last coefficient
| Predictors | AIC | Adj-R-Sqaured | Coefficients | Patch Subset | Color PC | |
|---|---|---|---|---|---|---|
| 219.4 | 0.0367 | 0.0719 | Wing | 1 | ||
| 279.7 | −0.0032 | 0.4273 | Wing | 2 | ||
| 236.2 | 0.1203 | 0.0068 | Wing | 3 | ||
| 257.2 | 0.0152 | 0.1894 | Face | 1 | ||
| 259.4 | 0.0105 | 0.2335 | Face | 2 | ||
| 269.0 | −0.0053 | 0.4687 | Face | 3 | ||
| 247.2 | 0.0561 | 0.0293 | Abdomen | 1 | ||
| 303.8 | 0.0133 | 0.2064 | Abdomen | 2 | ||
| 280.3 | 0.0257 | 0.1185 | Abdomen | 3 | ||
| 469.3 | 0.0499 | 0.0392 | All | 1 | ||
| 477.6 | −0.0012 | 0.3915 | All | 2 | ||
| 505.6 | 0.0331 | 0.1161 | All | 3 |
Color space statistics for all sampled taxa. All statistics were calculated within a tetrahedral color space using relative reflectance for UV, Short, Medium, and Longwave reflectance. The taxon which occupied the greatest volume of color space was Phigys solitarius but taxa in Trichoglossus comprised a large portion of the 30 taxa with the greatest color volume. The taxa which occupied the smallest amount of color space were Vini peruviana, which is mostly blue, and several Chalcopsitta taxa which are monochrome black, brown, and dark red
| Taxon | Centroid UV | Centroid SW | Centroid MW | Centroid LW | Color Space Volume | Color Space Relative Volume | Color Span (Mean) | Color Span (Variance) | Hue Hisparity (Mean) | Hue Disparity (Variance) | Mean Saturation | Max Saturation |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.3305 | 0.0884 | 0.2565 | 0.3246 | 0.0255 | 0.1178 | 0.4018 | 0.0529 | 1.2345 | 0.5704 | 0.7334 | 0.9783 | |
| 0.2534 | 0.1410 | 0.2329 | 0.3727 | 0.0210 | 0.0969 | 0.2638 | 0.0202 | 1.2389 | 0.5251 | 0.4838 | 0.8981 | |
| 0.2783 | 0.1001 | 0.3315 | 0.2900 | 0.0154 | 0.0712 | 0.2704 | 0.0220 | – | – | 0.6078 | 0.9452 | |
| 0.3503 | 0.1298 | 0.2858 | 0.2341 | 0.0153 | 0.0706 | 0.3124 | 0.0343 | – | – | 0.5482 | 0.8586 | |
| 0.3281 | 0.1246 | 0.2957 | 0.2516 | 0.0139 | 0.0644 | 0.2704 | 0.0237 | – | – | 0.5185 | 0.8342 | |
| 0.3324 | 0.1159 | 0.1857 | 0.3660 | 0.0123 | 0.0569 | 0.3240 | 0.0287 | 1.1874 | 0.5509 | 0.6313 | 0.9801 | |
| 0.2565 | 0.1008 | 0.3181 | 0.3246 | 0.0107 | 0.0495 | 0.2762 | 0.0207 | 1.1066 | 0.3850 | 0.6198 | 0.8687 | |
| 0.2390 | 0.1068 | 0.3922 | 0.2621 | 0.0105 | 0.0483 | 0.2307 | 0.0298 | 0.9073 | 0.4566 | 0.6063 | 0.9573 | |
| 0.2325 | 0.1133 | 0.1947 | 0.4594 | 0.0101 | 0.0467 | 0.2995 | 0.0319 | 1.0874 | 0.6671 | 0.5862 | 0.8683 | |
| 0.3040 | 0.1318 | 0.3024 | 0.2618 | 0.0097 | 0.0448 | 0.2955 | 0.0330 | 1.2093 | 0.6769 | 0.6278 | 0.8734 | |
| 0.2879 | 0.1633 | 0.2879 | 0.2609 | 0.0094 | 0.0432 | 0.1878 | 0.0132 | 1.1264 | 0.3948 | 0.3841 | 0.7122 | |
| 0.2764 | 0.1145 | 0.1885 | 0.4205 | 0.0092 | 0.0427 | 0.3159 | 0.0348 | 1.1741 | 0.6715 | 0.6217 | 0.8698 | |
| 0.2607 | 0.1998 | 0.2255 | 0.3140 | 0.0086 | 0.0399 | 0.2137 | 0.0118 | 1.4957 | 0.6147 | 0.3329 | 0.6211 | |
| 0.3379 | 0.1077 | 0.3263 | 0.2281 | 0.0084 | 0.0386 | 0.2461 | 0.0213 | 0.9974 | 0.4327 | 0.5952 | 0.9458 | |
| 0.2842 | 0.1250 | 0.3274 | 0.2634 | 0.0082 | 0.0377 | 0.2192 | 0.0145 | – | – | 0.5104 | 0.8283 | |
| 0.2699 | 0.1151 | 0.3805 | 0.2345 | 0.0078 | 0.0362 | 0.2464 | 0.0216 | 0.9752 | 0.4058 | 0.5659 | 0.9776 | |
| 0.1454 | 0.1319 | 0.3641 | 0.3586 | 0.0078 | 0.0361 | 0.1682 | 0.0080 | 0.6365 | 0.1351 | 0.5652 | 0.8636 | |
| 0.3337 | 0.1886 | 0.2401 | 0.2376 | 0.0075 | 0.0346 | 0.2657 | 0.0242 | 1.2814 | 0.5763 | 0.5488 | 0.8733 | |
| 0.3542 | 0.1131 | 0.2327 | 0.3000 | 0.0073 | 0.0336 | 0.2674 | 0.0220 | 1.0937 | 0.4049 | 0.6089 | 0.8456 | |
| 0.3771 | 0.1348 | 0.2727 | 0.2153 | 0.0072 | 0.0334 | 0.2205 | 0.0165 | 0.9676 | 0.3754 | 0.5085 | 0.7654 | |
| 0.3202 | 0.1058 | 0.3369 | 0.2371 | 0.0072 | 0.0333 | 0.2467 | 0.0207 | – | – | 0.5993 | 0.9304 | |
| 0.2390 | 0.0920 | 0.3532 | 0.3158 | 0.0072 | 0.0332 | 0.2233 | 0.0254 | 0.9245 | 0.3598 | 0.6378 | 1.0000 | |
| 0.3411 | 0.1319 | 0.2791 | 0.2479 | 0.0071 | 0.0327 | 0.2304 | 0.0158 | 1.0647 | 0.3802 | 0.5354 | 0.8588 | |
| 0.2019 | 0.1015 | 0.2218 | 0.4748 | 0.0070 | 0.0322 | 0.2532 | 0.0267 | 0.8744 | 0.5319 | 0.5941 | 0.8389 | |
| 0.3601 | 0.1405 | 0.2700 | 0.2295 | 0.0069 | 0.0316 | 0.2066 | 0.0142 | 0.9669 | 0.3517 | 0.4765 | 0.7834 | |
| 0.1619 | 0.1284 | 0.3917 | 0.3180 | 0.0068 | 0.0316 | 0.2167 | 0.0166 | 0.9359 | 0.5696 | 0.5449 | 0.8612 | |
| 0.2028 | 0.1002 | 0.2248 | 0.4722 | 0.0068 | 0.0313 | 0.2749 | 0.0338 | 0.9921 | 0.6008 | 0.6019 | 0.9574 | |
| 0.3297 | 0.1275 | 0.2511 | 0.2917 | 0.0067 | 0.0309 | 0.2287 | 0.0177 | 1.0650 | 0.4762 | 0.5746 | 0.8845 | |
| 0.1873 | 0.1403 | 0.2288 | 0.4435 | 0.0066 | 0.0305 | 0.2435 | 0.0178 | 1.0810 | 0.7308 | 0.4974 | 0.8131 | |
| 0.1502 | 0.1388 | 0.3631 | 0.3479 | 0.0064 | 0.0297 | 0.2522 | 0.0195 | 1.0653 | 0.6334 | 0.5373 | 0.8908 | |
| 0.2849 | 0.1668 | 0.1982 | 0.3501 | 0.0064 | 0.0295 | 0.2468 | 0.0187 | 1.2864 | 0.5228 | 0.4256 | 0.7257 | |
| 0.2550 | 0.1358 | 0.3212 | 0.2880 | 0.0062 | 0.0289 | 0.2071 | 0.0172 | 1.0320 | 0.3771 | 0.4918 | 0.8136 | |
| 0.1544 | 0.1314 | 0.4006 | 0.3135 | 0.0062 | 0.0287 | 0.2472 | 0.0302 | 0.8935 | 0.4832 | 0.5127 | 0.7778 | |
| 0.2528 | 0.1787 | 0.2289 | 0.3396 | 0.0060 | 0.0278 | 0.2254 | 0.0139 | 1.3829 | 0.5738 | 0.3751 | 0.6147 | |
| 0.2473 | 0.0940 | 0.1738 | 0.4850 | 0.0060 | 0.0277 | 0.2532 | 0.0280 | 0.9082 | 0.6368 | 0.6277 | 0.8597 | |
| 0.2984 | 0.1204 | 0.1518 | 0.4293 | 0.0060 | 0.0276 | 0.2872 | 0.0294 | 1.0047 | 0.5911 | 0.6441 | 1.0000 | |
| 0.2535 | 0.1534 | 0.3481 | 0.2450 | 0.0057 | 0.0266 | 0.1714 | 0.0153 | 0.9212 | 0.3581 | 0.4362 | 0.7237 | |
| 0.1930 | 0.1787 | 0.2280 | 0.4003 | 0.0057 | 0.0263 | 0.2014 | 0.0120 | 1.1047 | 0.6486 | 0.4033 | 0.8144 | |
| 0.2801 | 0.1770 | 0.2155 | 0.3274 | 0.0056 | 0.0261 | 0.2017 | 0.0107 | 1.3450 | 0.5267 | 0.3639 | 0.6238 | |
| 0.2442 | 0.0847 | 0.1144 | 0.5567 | 0.0056 | 0.0260 | 0.2481 | 0.0362 | – | – | 0.7145 | 0.9789 | |
| 0.3401 | 0.1405 | 0.1197 | 0.3998 | 0.0055 | 0.0253 | 0.3674 | 0.0620 | – | – | 0.6969 | 0.9691 | |
| 0.2924 | 0.1105 | 0.2087 | 0.3884 | 0.0053 | 0.0243 | 0.2295 | 0.0155 | 0.9755 | 0.4037 | 0.5652 | 0.7653 | |
| 0.3202 | 0.1465 | 0.3026 | 0.2307 | 0.0051 | 0.0237 | 0.1717 | 0.0110 | 0.9429 | 0.3684 | 0.4318 | 0.6985 | |
| 0.3010 | 0.1405 | 0.1870 | 0.3715 | 0.0050 | 0.0233 | 0.2294 | 0.0132 | 1.1178 | 0.4494 | 0.4920 | 0.6994 | |
| 0.2165 | 0.0814 | 0.1185 | 0.5836 | 0.0050 | 0.0230 | 0.2430 | 0.0372 | – | – | 0.7155 | 0.9881 | |
| 0.3518 | 0.1558 | 0.2707 | 0.2217 | 0.0049 | 0.0227 | 0.1862 | 0.0123 | 0.9852 | 0.3598 | 0.4533 | 0.7106 | |
| 0.2058 | 0.1014 | 0.4250 | 0.2678 | 0.0049 | 0.0226 | 0.1428 | 0.0092 | 0.5966 | 0.2604 | 0.6089 | 0.8084 | |
| 0.2697 | 0.0821 | 0.1274 | 0.5208 | 0.0049 | 0.0224 | 0.2607 | 0.0243 | – | – | 0.6792 | 0.9813 | |
| 0.1699 | 0.1067 | 0.3987 | 0.3246 | 0.0048 | 0.0223 | 0.2263 | 0.0258 | 0.8673 | 0.5003 | 0.6018 | 0.8020 | |
| 0.3040 | 0.1771 | 0.2805 | 0.2384 | 0.0048 | 0.0222 | 0.1985 | 0.0159 | 1.1969 | 0.5387 | 0.4333 | 0.8387 | |
| 0.3292 | 0.1259 | 0.2957 | 0.2492 | 0.0047 | 0.0216 | 0.2056 | 0.0194 | 0.9756 | 0.4464 | 0.5394 | 0.7386 | |
| 0.3134 | 0.1463 | 0.2557 | 0.2846 | 0.0046 | 0.0212 | 0.2180 | 0.0134 | 1.1215 | 0.2944 | 0.4911 | 0.7704 | |
| 0.1766 | 0.1277 | 0.2592 | 0.4365 | 0.0045 | 0.0207 | 0.2416 | 0.0209 | 0.9219 | 0.4789 | 0.5376 | 0.7431 | |
| 0.2325 | 0.1504 | 0.2462 | 0.3708 | 0.0044 | 0.0205 | 0.2095 | 0.0161 | – | – | 0.4974 | 0.9097 | |
| 0.2669 | 0.1682 | 0.2921 | 0.2728 | 0.0044 | 0.0203 | 0.1618 | 0.0081 | 1.1104 | 0.3511 | 0.3549 | 0.6123 | |
| 0.3266 | 0.1256 | 0.1041 | 0.4437 | 0.0044 | 0.0202 | 0.3480 | 0.0583 | 0.9626 | 0.6474 | 0.7208 | 1.0000 | |
| 0.1977 | 0.0713 | 0.0949 | 0.6361 | 0.0043 | 0.0198 | 0.2210 | 0.0344 | 0.4871 | 0.3814 | 0.7633 | 0.9617 | |
| 0.2711 | 0.1362 | 0.1754 | 0.4172 | 0.0043 | 0.0198 | 0.2394 | 0.0218 | 1.1044 | 0.5773 | 0.5061 | 0.7380 | |
| 0.2598 | 0.1556 | 0.2965 | 0.2880 | 0.0042 | 0.0193 | 0.1974 | 0.0126 | 1.1525 | 0.3824 | 0.4084 | 0.6962 | |
| 0.2151 | 0.1879 | 0.3274 | 0.2696 | 0.0041 | 0.0191 | 0.1573 | 0.0088 | 1.0167 | 0.3977 | 0.3782 | 0.7623 | |
| 0.2229 | 0.1375 | 0.3442 | 0.2953 | 0.0040 | 0.0184 | 0.1994 | 0.0170 | 0.9452 | 0.3136 | 0.4615 | 0.7402 | |
| 0.3978 | 0.1458 | 0.2489 | 0.2074 | 0.0039 | 0.0181 | 0.2151 | 0.0154 | 0.9605 | 0.3730 | 0.5268 | 0.8208 | |
| 0.2252 | 0.1548 | 0.1957 | 0.4243 | 0.0038 | 0.0177 | 0.2230 | 0.0184 | 1.0613 | 0.7001 | 0.4154 | 0.7520 | |
| 0.2536 | 0.1078 | 0.3628 | 0.2758 | 0.0038 | 0.0175 | 0.1612 | 0.0086 | 0.7942 | 0.2681 | 0.5704 | 0.8158 | |
| 0.3228 | 0.1602 | 0.2868 | 0.2303 | 0.0036 | 0.0168 | 0.1668 | 0.0097 | 0.9893 | 0.3975 | 0.3944 | 0.5921 | |
| 0.3647 | 0.1706 | 0.2697 | 0.1950 | 0.0035 | 0.0161 | 0.1796 | 0.0099 | 0.9430 | 0.3312 | 0.4192 | 0.6764 | |
| 0.2602 | 0.1827 | 0.2211 | 0.3361 | 0.0035 | 0.0160 | 0.2086 | 0.0145 | 1.4276 | 0.6659 | 0.3437 | 0.6494 | |
| 0.3603 | 0.1310 | 0.2412 | 0.2675 | 0.0034 | 0.0159 | 0.2255 | 0.0203 | 1.0225 | 0.4582 | 0.5348 | 0.7283 | |
| 0.1540 | 0.0516 | 0.0933 | 0.7012 | 0.0033 | 0.0151 | 0.1543 | 0.0231 | 0.2855 | 0.2312 | 0.8122 | 0.9792 | |
| 0.2813 | 0.1744 | 0.2001 | 0.3441 | 0.0033 | 0.0151 | 0.2151 | 0.0167 | 1.3247 | 0.6278 | 0.3996 | 0.6412 | |
| 0.2760 | 0.1431 | 0.3310 | 0.2499 | 0.0029 | 0.0133 | 0.1637 | 0.0119 | 0.9087 | 0.3013 | 0.4308 | 0.6764 | |
| 0.1663 | 0.1436 | 0.3833 | 0.3068 | 0.0028 | 0.0131 | 0.1371 | 0.0045 | 0.5989 | 0.1524 | 0.5031 | 0.9410 | |
| 0.2833 | 0.1597 | 0.2990 | 0.2581 | 0.0028 | 0.0128 | 0.1614 | 0.0099 | 1.0223 | 0.3333 | 0.3960 | 0.5854 | |
| 0.2292 | 0.1073 | 0.3855 | 0.2779 | 0.0025 | 0.0116 | 0.1374 | 0.0065 | 0.6900 | 0.2414 | 0.5729 | 0.7496 | |
| 0.2027 | 0.1352 | 0.1806 | 0.4815 | 0.0025 | 0.0115 | 0.1757 | 0.0178 | 0.7300 | 0.6442 | 0.4725 | 0.6596 | |
| 0.2447 | 0.1304 | 0.3823 | 0.2425 | 0.0024 | 0.0113 | 0.1579 | 0.0098 | 0.7551 | 0.2266 | 0.4904 | 0.7422 | |
| 0.1973 | 0.1356 | 0.1893 | 0.4778 | 0.0023 | 0.0105 | 0.1847 | 0.0174 | 0.7740 | 0.5460 | 0.4651 | 0.6287 | |
| 0.2223 | 0.0947 | 0.4443 | 0.2387 | 0.0022 | 0.0103 | 0.1197 | 0.0040 | – | – | 0.6229 | 0.8492 | |
| 0.3177 | 0.1230 | 0.2937 | 0.2656 | 0.0022 | 0.0103 | 0.1708 | 0.0125 | 0.8479 | 0.2930 | 0.5080 | 0.7471 | |
| 0.0680 | 0.1260 | 0.4091 | 0.3969 | 0.0022 | 0.0101 | 0.1608 | 0.0117 | 0.4652 | 0.1217 | 0.7398 | 0.9968 | |
| 0.2118 | 0.1521 | 0.2123 | 0.4237 | 0.0022 | 0.0100 | 0.2222 | 0.0222 | 1.2390 | 0.9766 | 0.4245 | 0.6914 | |
| 0.2476 | 0.1818 | 0.2119 | 0.3587 | 0.0020 | 0.0093 | 0.1797 | 0.0113 | 1.3471 | 0.6978 | 0.3183 | 0.6065 | |
| 0.3725 | 0.1381 | 0.2545 | 0.2350 | 0.0019 | 0.0089 | 0.1612 | 0.0159 | 0.7726 | 0.3649 | 0.4768 | 0.7517 | |
| 0.2579 | 0.1130 | 0.1522 | 0.4769 | 0.0018 | 0.0084 | 0.2365 | 0.0235 | 0.6781 | 0.3357 | 0.5728 | 0.8609 | |
| 0.1643 | 0.1126 | 0.4582 | 0.2649 | 0.0018 | 0.0082 | 0.1035 | 0.0058 | 0.3686 | 0.1316 | 0.5516 | 0.7148 | |
| 0.2542 | 0.0900 | 0.1295 | 0.5263 | 0.0017 | 0.0079 | 0.2090 | 0.0170 | 0.5063 | 0.1781 | 0.6484 | 0.8696 | |
| 0.1840 | 0.2996 | 0.2944 | 0.2220 | 0.0017 | 0.0077 | 0.1782 | 0.0165 | 1.1568 | 0.8436 | 0.5007 | 0.7132 | |
| 0.4197 | 0.1855 | 0.1712 | 0.2236 | 0.0016 | 0.0074 | 0.1656 | 0.0106 | 0.6393 | 0.2925 | 0.3728 | 0.5909 | |
| 0.1740 | 0.1272 | 0.1827 | 0.5161 | 0.0016 | 0.0073 | 0.1859 | 0.0208 | 0.6618 | 0.5909 | 0.4974 | 0.7011 | |
| 0.2076 | 0.0962 | 0.3691 | 0.3270 | 0.0015 | 0.0071 | 0.1399 | 0.0075 | 0.6618 | 0.2379 | 0.6171 | 0.8128 | |
| 0.2698 | 0.1256 | 0.3519 | 0.2528 | 0.0015 | 0.0070 | 0.1261 | 0.0046 | 0.7310 | 0.2006 | 0.4977 | 0.6513 | |
| 0.2643 | 0.1078 | 0.3370 | 0.2909 | 0.0014 | 0.0063 | 0.1607 | 0.0079 | 0.8171 | 0.2382 | 0.5708 | 0.7898 | |
| 0.1591 | 0.1262 | 0.4035 | 0.3112 | 0.0013 | 0.0062 | 0.1528 | 0.0160 | 0.5654 | 0.2581 | 0.5001 | 0.6614 | |
| 0.2463 | 0.1269 | 0.3902 | 0.2366 | 0.0013 | 0.0062 | 0.1112 | 0.0034 | 0.5764 | 0.1335 | 0.5022 | 0.6756 | |
| 0.2990 | 0.1567 | 0.3336 | 0.2107 | 0.0013 | 0.0059 | 0.1185 | 0.0040 | 0.7488 | 0.1832 | 0.4297 | 0.6663 | |
| 0.1804 | 0.0623 | 0.1223 | 0.6349 | 0.0011 | 0.0049 | 0.1393 | 0.0097 | 0.2277 | 0.0572 | 0.7507 | 0.9424 | |
| 0.1738 | 0.1125 | 0.4573 | 0.2563 | 0.0009 | 0.0041 | 0.1087 | 0.0050 | 0.3933 | 0.0975 | 0.5512 | 0.7662 | |
| 0.1440 | 0.1271 | 0.4251 | 0.3038 | 0.0009 | 0.0041 | 0.1086 | 0.0028 | 0.4082 | 0.0733 | 0.5286 | 0.7878 | |
| 0.2788 | 0.1189 | 0.3387 | 0.2635 | 0.0009 | 0.0040 | 0.1151 | 0.0030 | 0.6770 | 0.1116 | 0.5244 | 0.6900 | |
| 0.3054 | 0.1572 | 0.2463 | 0.2911 | 0.0008 | 0.0038 | 0.1230 | 0.0114 | 0.7341 | 0.3705 | 0.3721 | 0.8626 | |
| 0.4108 | 0.1684 | 0.1625 | 0.2584 | 0.0006 | 0.0027 | 0.0925 | 0.0026 | 0.3955 | 0.1053 | 0.3814 | 0.5304 | |
| 0.3807 | 0.2204 | 0.2002 | 0.1987 | 0.0005 | 0.0022 | 0.1066 | 0.0044 | 0.5215 | 0.3415 | 0.2774 | 0.5623 | |
| 0.3702 | 0.1453 | 0.2205 | 0.2639 | 0.0003 | 0.0015 | 0.1382 | 0.0089 | 0.6673 | 0.2467 | 0.4230 | 0.7603 | |
| 0.3400 | 0.2263 | 0.2191 | 0.2146 | 0.0003 | 0.0014 | 0.0811 | 0.0039 | 0.5919 | 0.5292 | 0.2098 | 0.4456 | |
| 0.4722 | 0.2126 | 0.1677 | 0.1475 | 0.0001 | 0.0004 | 0.2150 | 0.0294 | 1.0803 | 1.8047 | 0.5320 | 0.8396 |