Humans typically sense the colour visual environment with three spectrally different photoreceptor classes, whose maximum sensitivity is respectively located at about 420 (blue-sensitive), 534 (green) and 564 (red) nm (Bowmaker and Dartnall 1980). Each receptor class pools all available sensed photons as described by the principle of univariance, and subsequent signals are projected to multiple higher level processing areas in the brain which enable the generation of colour perception via opponent neural mechanisms (Rushton 1972; Hurvich 1981; Lee 2005).
Flowers are amongst the most colourful objects in the natural environment, and from the earliest days of visual ecology seminal researchers appreciated that flowers typically evolved signals to suit the visual capabilities of the most important pollinators, which have very different colour visual capabilities compared to humans (von Frisch 1914; Kühn 1927; Daumer 1958; Dyer et al. 2021). Nevertheless, studies on human colour vision set the main foundation for animal colour vision studies (Kelber et al. 2003b; Kemp et al. 2015).
Our trichromatic visual system allows us to differentiate between saliently different colours like ripe fruit from green foliage (Mollon 1989). However, as colours become increasingly similar, discrimination accuracy drops until reaching a limit after which it is no longer possible to discern between the two stimuli, even if these differ in their spectral properties (MacAdam 1985). This relationship between colour (dis)similarity and accuracy of discrimination will take the characteristic shape of a letter “S” and often referred to as being sigmoidal. The sigmoidal shape of the colour discrimination function arises from the presence of both lower and upper asymptotes where discrimination accuracy remains constant in spite of changes in colour difference. The upper limit of a colour discrimination function is imposed by the impossibility of significantly increasing accuracy in colour discrimination after approaching approximately 100% of correct choices in spite of an increment in colour difference. On the other hand, an observer will continuously choose at random, i.e. an accuracy around 50%, when discriminating between colour stimuli that are so similar to each other as to be below a perceptual threshold. Only when the difference between stimuli is large enough to become apparent to the observer the function will start to rise, indicating the end of the lower plateau region, until reaching the upper asymptote of the function (Garcia et al. 2017).
Von Helversen (1972a), inspired by the experimental results of colour discrimination by the trichromatic European honeybee (Apis mellifera) (von Frisch 1914; Daumer 1956; von Helversen 1972b), proposed that the relationship between colour dissimilarity and discrimination accuracy by an animal observer should also be described by a sigmoidal curve. However, he did not provide a mathematical formulation for a function which could match his theoretical model, nor explicitly examine how the theory was supported by empirical data for different bee species or other animals.
The first empirical evidence of sigmoidal functions in hymenopteran insects was reported by Dyer and Chittka (2004a) for bumblebee colour choices, who noted that such a probabilistic way of processing colour information was consistent with evidence showing that the discharge rates of single neurons in macaque monkeys (Macaca fuscata) correlates with the relative position of colour similarity of stimuli on a colour map for primate vision (Komatsu and Ideura 1993). This fits with other evidence that whilst there are some differences in colour processing mechanisms between primates and insects, overall there are highly convergent visual strategies for chromatic discrimination (Pichaud et al. 1999, Hempel de Ibarra et al. 2014). Other research on bumblebees (Dyer and Chittka 2004c) and honeybees (Giurfa 2004; Avarguès-Weber et al. 2010; Dyer and Garcia 2014) shows that conditioning experience has on effect on the ability of an hymenopteran observer to discriminate colours and lead to changes in the brain and long-term memory (Sommerlandt et al. 2016), suggesting that colour discrimination is influenced by neural tuning processes in these animals.
Hawkmoths include various diurnal and nocturnal visually driven moth species which feed on flower nectar and are considered to be major pollinators in various ecosystems across their distribution ranges. For example, hawkmoths are responsible for pollinating 10% of all tree species in tropical dry forests in addition to various species of shrubs, herbs and epyphites (Haber and Frankie 1989), and are the main pollinators of orchid species in Madagascar (Nilsson et al. 1992) and North America (Fox et al. 2013). In Costa Rica, long tongued hawkmoths are reported as being generalist flower visitors, feeding on many different species of flowers, including those adapted to other animal pollinators such as bats and hummingbirds, which display a variety of different colours (Haber and Frankie 1989).
The hummingbird hawkmoth (Macroglossum stellatarum) is a diurnal, visually oriented insect which uses colour information to find and identify profitable flowers (Kelber et al. 2003a), and can override innate preferences following training to discriminate between distinct colour stimuli (Kelber 1996). M. stellatarum demonstrates a capacity to be a food generalist and forage on a variety of different spectrally different colour stimuli to obtained preferred sugar nutrition (Kelber 2003). M. stellatarum has functional trichromatic vision (Kelber and Henique 1999) which facilitates a capacity to discriminate between spectral colours at a level which is finer than honeybees (Telles et al. 2016). It is also known that hawkmoths show evidence of improved capacity to discriminate between colours following differential conditioning to stimuli (Kelber 2010). However, in spite of the current knowledge on the colour vision of M. stellatarum, it remains untested if discrimination for (dis)similar colour differences in this species can be reliably described by a continuous, sigmoidal function as has recently been demonstrated for other major pollinators including insects like bees and flies (Garcia et al. 2017, 2018; Hannah et al. 2019; Garcia et al. 2022), and violet sensitive birds (Garcia et al. 2021).
Here we specifically test a hypothesis that sigmoidal functions may describe colour choices in hawkmoths by using previously recorded behavioural data on colour discrimination of (dis)similar colour differences by M. stellatarum (Telles et al. 2016). If this hypothesis proves true, our model allows predicting accuracy of colour discrimination without resorting to assumptions of currently unknown physiological parameters of M. stellatarum colour vision. We discuss the outcomes of our modelling with respect to underlying mechanistic accounts of whether biologically relevant colour discrimination in these animals is principally mediated due to receptor level, and/or higher level neural processes.