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(A) Predictions of models of colour discrimination (solid lines) fitted to honeybee spectral sensitivity data (filled circles ; von Helversen, 1972). Geometrical interpretations of the models are illustrated in Figs 3 and 4. In each case, curves are least-squared best-fits for the model in question. (i ) Discrimination by an achromatic mechanism (Fig. 3A). (ii ) Discrimination limited by receptor noise without interactions between receptors (Fig. 3B). (iii ) Discrimination limited by the most sensitive receptor mechanism, without interactions between receptors (Fig. 3C). (iv) Discrimination by two chromatic mechanisms (ellipse in Fig. 4C), and also dominance and city block models (parallelogram in Fig. 4C), which are indistinguishable for these data (see Section VI.3). Modified from Brandt & Vorobyev 1997. Only curve iv accurately describes the honeybee's colour thresholds. (B) Spectral sensitivities of three vertebrates as predicted by the receptor-noise-limited colour opponent model (as curve iv above ; see Appendix B) : a dichromat, the tree shrew (Tupaia belangeri ; Jacobs & Neitz, 1986) ; a trichromat, human (Sperling & Harwerth, 1971) ; and a tetrachromat, Pekin robin, (Leiothrix lutea ; Maier, 1992). Each study had two subjects, indicated by separate symbols (o, j). Curves are displaced on the vertical axis for clarity. Modified from Vorobyev & Osorio (1998).  

(A) Predictions of models of colour discrimination (solid lines) fitted to honeybee spectral sensitivity data (filled circles ; von Helversen, 1972). Geometrical interpretations of the models are illustrated in Figs 3 and 4. In each case, curves are least-squared best-fits for the model in question. (i ) Discrimination by an achromatic mechanism (Fig. 3A). (ii ) Discrimination limited by receptor noise without interactions between receptors (Fig. 3B). (iii ) Discrimination limited by the most sensitive receptor mechanism, without interactions between receptors (Fig. 3C). (iv) Discrimination by two chromatic mechanisms (ellipse in Fig. 4C), and also dominance and city block models (parallelogram in Fig. 4C), which are indistinguishable for these data (see Section VI.3). Modified from Brandt & Vorobyev 1997. Only curve iv accurately describes the honeybee's colour thresholds. (B) Spectral sensitivities of three vertebrates as predicted by the receptor-noise-limited colour opponent model (as curve iv above ; see Appendix B) : a dichromat, the tree shrew (Tupaia belangeri ; Jacobs & Neitz, 1986) ; a trichromat, human (Sperling & Harwerth, 1971) ; and a tetrachromat, Pekin robin, (Leiothrix lutea ; Maier, 1992). Each study had two subjects, indicated by separate symbols (o, j). Curves are displaced on the vertical axis for clarity. Modified from Vorobyev & Osorio (1998).  

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Over a century ago workers such as J. Lubbock and K. von Frisch developed behavioural criteria for establishing that non-human animals see colour. Many animals in most phyla have since then been shown to have colour vision. Colour is used for specific behaviours, such as phototaxis and object recognition, while other behaviours such as motion detec...

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... trained to prefer a coloured target over a dark one, or a dark target over a coloured one (Neumeyer, 1991). More fundamentally, for light-adapted eyes behavioural spectral sensitivities often are mediated by chromatic, not achromatic mechanisms. Adjusting intensities according to these sensitivities does not then exclude achromatic signals (see Fig. 5 ; Section VI.3). Finally, where two or more receptor types contribute to the achromatic mechanism, and are randomly arranged (as in primates) spectral differences can locally lead to an achromatic signal even if the intensities are properly adjusted for the average. Given the difficulties of excluding achromatic signals, a more ...
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... (A) One achromatic mechanism is used for colour discrimination, where the distance in colour space ∆S is given by ∆S # l (k S ∆q S jk M ∆q M jk L ∆q L )# . The three positive coefficients (i.e. k S , k M , k L ) denote the weights of the inputs of receptors to a mechanism, that might be deduced by fitting the model to experimental data (see Fig. 5). The dotted line indicates the axis in the colour space corresponding to this mechanism. The two planes orthogonal to the mechanism's axis give contours of equal discriminability. (B) Discrimination is limited by noise in the three receptor mechanisms, with stage 2 mechanisms (see Fig. 1) absent or not adding noise. This is a ...
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... ∆X i (with i l 1, 2) denotes the difference in the chromaticity co-ordinates, and g ik (with i, k l 1, 2) the components of a metric tensor that can be fitted to experimental data (see Fig. 5). The parallelogram describes the contours of equal discriminability predicted by dominance and city-block metrics. The dominance metric predicts a parallelogram with its sides (and axes, dashed lines) parallel to the axes of the mechanisms mediating discrimination (e.g. receptor or colour opponent signals). Alternatively, the city ...
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... the vertical axis for clarity. Modified from Vorobyev & Osorio (1998). the stage in the visual pathway that limits performance. In practice, however, different modelsthat might implicate quite different physiological mechanisms -often make similar predictions, so that very accurate behavioural measurements are needed to distinguish between them (Fig. 5). Sufficiently accurate measurements are hard to obtain from most ...
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... fitted a dominance metric model to monkey and human spectral sensitivities. Later Nuboer & Moed (1983) used a similar approach to make inferences about post-receptoral mechanisms from spectral sensitivity in the rabbit (Oryctolagus cuniculus). Backhaus (1991) fitted a city block metric model to honeybee colour discrimination (Section V.2c ; Fig. ...
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... models of colour thresholds have more parameters than ellipsoid models. Therefore, before invoking a polygonal model, it is desirable to show that thresholds are significantly less well fitted by an ellipsoid (Figs 3B, 4C). In reality, given the scatter of experimental data, it is difficult to distinguish between ellipsoidal and polygonal models (Fig. 5). For example, ellipsoidal models fit the thresholds for both humans (Poirson & Wandell, 1990) and bees (Brandt & Vorobyev, 1997) almost as well as polygonal models (Fig. 5). Brandt & Vorobyev (1997) tested a number of models on von Helversen's (1972) measurements of honeybee spectral sensitivity (Fig. 5). Models that assume that ...
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... less well fitted by an ellipsoid (Figs 3B, 4C). In reality, given the scatter of experimental data, it is difficult to distinguish between ellipsoidal and polygonal models (Fig. 5). For example, ellipsoidal models fit the thresholds for both humans (Poirson & Wandell, 1990) and bees (Brandt & Vorobyev, 1997) almost as well as polygonal models (Fig. 5). Brandt & Vorobyev (1997) tested a number of models on von Helversen's (1972) measurements of honeybee spectral sensitivity (Fig. 5). Models that assume that receptor signals do not interact (Fig. 1B) fail to explain the data. This implies that receptor signals are integrated by some neural mechanism (Fig. 1, stage 2) before responses ...
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... between ellipsoidal and polygonal models (Fig. 5). For example, ellipsoidal models fit the thresholds for both humans (Poirson & Wandell, 1990) and bees (Brandt & Vorobyev, 1997) almost as well as polygonal models (Fig. 5). Brandt & Vorobyev (1997) tested a number of models on von Helversen's (1972) measurements of honeybee spectral sensitivity (Fig. 5). Models that assume that receptor signals do not interact (Fig. 1B) fail to explain the data. This implies that receptor signals are integrated by some neural mechanism (Fig. 1, stage 2) before responses to different stimuli are compared (stage 3). Likewise, single-mechanism models -such as those described in Section V.2.cdo not fit ...
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... new model of colour discrimination thresholds (Fig. 5A) suggesting a minor modification of the noise-limited models discussed so far (Vorobyev & Osorio, 1998 ; Appendix B) fits experimental data well. It takes account of the ' ecological ' consideration that chromatic signals are more reliable than achromatic. We have mentioned that both bees and birds use chromatic signals for colour ...
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... traditional use of threshold models is to test hypotheses about physiological mechanisms, although as we have seen (Fig. 5) different mechanisms can give quite similar predictions. A second use is to investigate the ecology, evolution and design of colour vision. For example, it is now easy to measure spectra of natural objects such as food plants or bird plumage. Given an accurate model of performance, one can compare the suitability of different types of ...

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... A combination of physiological or genetic and computational methods is typically employed to determine what colors are discriminable to animal eyes (Kelber et al. 2003). Physiological methods include microspectrophotometry and electrophysiology, both of which involve stimulating photoreceptors with different colors of light to determine the wavelengths of their peak sensitivities. ...
... Physiological methods include microspectrophotometry and electrophysiology, both of which involve stimulating photoreceptors with different colors of light to determine the wavelengths of their peak sensitivities. Genetic methods can provide the same information, but require knowledge of the gene sequences and spectral sensitivities of opsins of related taxa, as well as the spectral properties of any optical filters within the eye (Kelber et al. 2003). Computational methods can then be used to calculate chromatic contrasts between different colors (Gawryszewski 2018). ...
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Physiological or genetic assays and computational modeling are valuable tools for understanding animals’ visual discrimination capabilities. Yet sometimes, the results generated by these methods appear not to jive with other aspects of an animal’s appearance or natural history, and behavioral confirmatory tests are warranted. Here we examine the peculiar case of a male jumping spider that displays red, black, white, and UV color patches during courtship despite the fact that, according to microspectrophotometry and color vision modeling, they are unlikely able to discriminate red from black. To test whether some optical or neurological component could have been missed using these methods, we conduct mate choice experiments. Some females are presented with a choice between males with their red leg coloration painted over with either red or black paint, while other females are presented with a choice between males with the same coloration painted over by either red or white paint. This latter pairing of red and white males should have been easily distinguishable to the spiders and served as a control to ensure our experimental setup was conducive to natural mating behavior. Red males were more likely to mate than white males (P = 0.035), whereas red and black males had identical mating success (P = 1.0). This suggests that previous physiological and computational work on these spiders was correct in concluding that they are unable to discriminate between red and black. Any functional significance of displaying both colors, rather than only black, remains unresolved.
... I then averaged the colour distance (ΔS) for each comparison and compared the resulting values to a standard colour discriminability threshold of ΔS = 1. This threshold represents when two colours become just distinct enough to tell apart by the modelled viewer, also known as a 'just-noticeable-difference' (JND; Kelber et al., 2003;Vorobyev et al., 2001). I did not test for statistical differences in the mean ΔS values of artificial versus live prey, as differences in values greater than one are difficult to interpret without further behavioural data from the relevant receiver(s) (Santiago et al., 2020). ...
... unnaturally saturated paint leading to greater detectability; Stoddard et al., 2018), or the fake caterpillars' inability to actively respond to predators (Paluh et al., 2014). Via spectral analysis, I found that avian predators would be able to easily distinguish both live and fake caterpillars from host plant foliage (Kelber et al., 2003;Vorobyev et al., 2001;Vorobyev & Osorio, 1998). Compared to host plant leaves, both caterpillar types were above the JND threshold of ΔS = 1 (Figure 3). ...
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... Naturalists have long pondered the evolution and function of the many signals and cues animals use to communicate (Endler, 1992;Endler, 1993;Andersson, 1994;Johnstone, 1996;Martin Schaefer et al., 2004;Johansson and Jones, 2007;Hill, 2009;Jones and Ratterman, 2009;Rose et al., 2022). Visual signals, such as vibrant colours and contrasting patterns, have attracted more interest from researchers than other signals, likely because our species is visually oriented (Endler, 1992;Kelber et al., 2003;Endler et al., 2005). Eyespot patterns, characterised by concentric rings of different colours with a light outer ring and a dark centre (Stevens, 2005), are well-known patterns believed to reduce predation. ...
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Eyespot patterns have evolved in many prey species. These patterns were traditionally explained by the eye mimicry hypothesis, which proposes that eyespots resembling vertebrate eyes function as predator avoidance. However, it is possible that eyespots do not mimic eyes: according to the conspicuousness hypothesis, eyespots are just one form of vivid signals where only conspicuousness matters. They might work simply through neophobia or unfamiliarity, without necessarily implying aposematism or the unprofitability to potential predators. To test these hypotheses and explore factors influencing predators’ responses, we conducted a meta-analysis with 33 empirical papers that focused on bird responses to both real lepidopterans and artificial targets with conspicuous patterns (i.e. eyespots and non-eyespots). Supporting the latter hypothesis, the results showed no clear difference in predator avoidance efficacy between eyespots and non-eyespots. When comparing geometric pattern characteristics, bigger pattern sizes and smaller numbers of patterns were more effective in preventing avian predation. This finding indicates that single concentric patterns have stronger deterring effects than paired ones. Taken together, our study supports the conspicuousness hypothesis more than the eye mimicry hypothesis. Due to the number and species coverage of published studies so far, the generalisability of our conclusion may be limited. The findings highlight that pattern conspicuousness is key to eliciting avian avoidance responses, shedding a different light on this classic example of signal evolution.
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... For flies, however, green flowers would be likely to benefit from the addition of yellow pigmentation to enhance their visual attraction. Although the perceived chromatic contrast between a flower and its surroundings plays an important role in flower detection and recognition by pollinators (Giurfa et al., 1996;Kelber et al., 2003;Dyer and Chittka, 2004;van der Kooi et al., 2019), it is important to note that chromatic contrast is only one of several factors that influence pollinator preferences. Attributes such as floral colour, flower size, scent, rewards and pollinator learning also play significant roles, because colour represents only one component of the multisensory cues that guide pollinator foraging. ...
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