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Colourimetric characterization of naturally-coloured cocoons in a silkworm germplasm collection

In: Journal of Insects as Food and Feed
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Gianni Fila Research Centre for Agriculture and Environment (CREA-AA), Sericulture Laboratory, Council for Agricultural Research and Economics, Via Leonardo Eulero 6a, 35143 Padova, Italy

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Massimo Gardiman Research Centre for Viticulture and Enology (CREA-VE), Council for Agricultural Research and Economics, Via XXVIII Aprile 26, 31015 Conegliano (TV), Italy

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Alessio Saviane Research Centre for Agriculture and Environment (CREA-AA), Sericulture Laboratory, Council for Agricultural Research and Economics, Via Leonardo Eulero 6a, 35143 Padova, Italy

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Chiara Pavanello Research Centre for Agriculture and Environment (CREA-AA), Sericulture Laboratory, Council for Agricultural Research and Economics, Via Leonardo Eulero 6a, 35143 Padova, Italy

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Silvia Cappellozza Research Centre for Agriculture and Environment (CREA-AA), Sericulture Laboratory, Council for Agricultural Research and Economics, Via Leonardo Eulero 6a, 35143 Padova, Italy

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Abstract

Cocoon colour in Bombyx mori L. is a genetically determined trait influenced by environmental factors, reflecting the natural pigments embedded in silk proteins, which may have potential applications in the feed and food industry. We quantified cocoon colour across 65 naturally coloured strains belonging to the silkworm germplasm collection of CREA, which were reared over three seasons, and assessed practical systems for colour classification. Colours were measured in CIELAB (D65/10°; SCI/SCE recorded simultaneously), and colour-difference models were benchmarked against human perception via an observer-based grouping task analysed with non-metric MDS. CIEDE2000 model best matched perceptual distances. Two perceptibility thresholds were derived: Δ E 50 = 3.65 (noticeable to 50% of observers) and Δ E 100 = 7.2 (universally noticeable). Intra-strain variability generally remained below Δ E 100 , whereas interannual variability exceeded it in roughly one-third of strains. At the strain level, chromatic change in the a b plane was predominantly linear, with either radial (chroma-driven) or non-radial (hue-shifting) behaviour. At the collection level, colours formed discrete clusters; using Δ E -constrained clustering yielded 7 clusters. Among nomenclature systems, RHS (Royal Horticultural Society colour chart) offered the highest resolution but required many codes per strain; UCL (Universal Colour Language, based on RHS) provided broader but more consistent categories covering the observed gamut with approx. 3 codes per strain. We recommend a standardised, Δ E -anchored, cluster-based scheme for sericulture applications; when external references are preferred, a compact UCL-RHS combination reliably characterises strain colour while remaining practical.

1 Introduction

The silkworm (Bombyx mori L.) produces cocoons of various colours, including white, yellow, golden yellow, pinkish, orange and green, which derive from the pigments found in mulberry leaves which the insect feeds on. The pigments found in leaves are first absorbed by the midgut and then conveyed into the haemolymph. Subsequently, they enter the silk glands, where they accumulate and are enclosed in the silk proteins’ layers to finally produce colourful cocoons. Chemical modifications of the pigments can occur during the stages of this process (Tabunoki et al., 2004).

There are essentially two varieties of cocoon colours: those derived from carotenoids (Ma et al., 2015), which are responsible for the yellow-orange colours and are found only in sericin which coats the fibroin base, and those derived from flavonoids (mainly quercetin and kaempferol and their glycosides) (Kurioka and Yamazaki, 2002; Zhu and Zhang, 2014), which are responsible for the green hues and are distributed in both sericin and fibroin. Cocoon colour has long been recognized as a genetically determined trait (Tanaka, 1913), yet the molecular mechanisms underlying this genetic determinism have only recently begun to be elucidated (Daimon et al., 2010; Hirayama et al., 2018; Lu et al., 2023; Tsuchida and Sakudoh, 2015; Zhu and Zhang, 2014).

From an evolutionary perspective, variability in cocoon colour may represent a selective adaptation linked to protective functions. The pigments responsible for colouration possess antibacterial and antioxidant properties, contributing to larval defence against pathogens and oxidative stress during pupation (Dong et al., 2022; Liu et al., 2024). Beyond their ecological role, these pigments are increasingly studied as bioactive compounds with potential practical applications in medicine, nutraceuticals, and cosmetics. This emerging field aligns with the broader concept of entomoceuticals, which refers to health-promoting compounds derived from insects, including proteins, polyphenols, terpenoids, alkaloids, and carotenoids, many of which exhibit anti-inflammatory, antioxidant, antihypertensive, and antidiabetic properties (Liceaga, 2025).

In the case of Bombyx mori, cocoon pigments are primarily associated with sericin, a protein that not only provides structural stability but also carries bioactive molecules and trace elements with therapeutic potential (Biganeh et al., 2022; Wang et al., 2025). Coloured sericin enriched with carotenoids, has been shown to outperform white cocoon sericin in antibacterial, antioxidant, cytocompatibility, and even anticancer activities, due to structural modifications such as increased β-sheet content and hydrogen bonding, which enhance its stability and functional properties (Liu et al. 2024).

Among the carotenoids found in yellow-red cocoons, lutein occurs in a protein-lipid bound form, which is chemically stable and exhibits superior antioxidant activity compared to purified commercial lutein (Manupa et al., 2023). Its bioavailability and stability make it a promising dietary supplement for ocular and cognitive health, with demonstrated protective effects against UV-induced retinal damage (Aimjongjun et al., 2013) and β-amyloid-induced neurotoxicity in neuronal cells, thus suggesting potential in the prevention of age-related macular degeneration and Alzheimer’s disease (Singhrang et al., 2018). In addition, lutein extracts from silk cocoons have shown immunomodulatory effects, enhancing both innate and adaptive immunity beyond what has been observed with marigold-derived lutein (Promphet et al., 2014). The hypoglycaemic potential of sericin-derived oligopeptides (SDOs) from yellow cocoons has been validated in diabetic rat models, where they improved glycaemic control, preserved pancreatic function, and protected multiple organs from diabetes-related damage (Tocharus and Sutheerawattananonda, 2024).

Flavonoid-rich ethanol extracts from green cocoons exhibit strong antioxidant activity together with tyrosinase and α-glucosidase inhibition, whereas highly purified sericin alone shows limited bioactivity (Cao and Zhang, 2016; Wang et al., 2012). These extracts have also been shown to improve glucose metabolism, enhance antioxidant defences, and increase insulin sensitivity in diabetic models, supporting their use in the prevention or management of type 2 diabetes (Tian et al., 2024; Wang et al., 2020; Zhao et al., 2019). Furthermore, flavonoid-sericin conjugates display enhanced antioxidant and anti-inflammatory activities compared with native sericin, expanding their biomedical potential (Omar et al., 2022). Beyond therapeutic applications, coloured cocoon sericin has also been suggested as a natural antioxidant ingredient in functional foods (Takechi et al., 2011). Among the features connected with the green colour is the capacity to protect skin after radiation (Kakihara et al., 2024).

Overall, the bioactivities attributed to cocoon pigments provide strong evidence for their inclusion in functional foods, nutraceuticals, and biomedical applications. Variability in cocoon pigmentation, once considered mainly as an adaptive trait for insect survival, thus emerges as a key reservoir of health-promoting compounds with translational potential for human applications.

Research on natural cocoon colours is particularly relevant also to silk textiles, offering the possibility of producing environmentally sustainable yarns without reliance on synthetic dyes which are a significant cause of pollution (Moore and Ausley, 2004; Robinson et al., 2001).

Furthermore, it should be noted that there is the possibility of producing non-textile silk-based products (Oxman, 2015; Oxman et al., 2013) which, not being subjected to the degumming process, can retain their natural colour.

The renewed interest in cocoon pigmentation underscores the need for precise, standardized colour descriptors in silkworm strain characterization. While pigment chemistry is well studied, quantitative colour analysis has lagged, partly due to environmental influences on this continuous trait. Investigating cocoon colour offers several advantages over biochemical analyses. Instrumental colour measurement is rapid, non-destructive, and scalable; moreover, in many plant-based systems, CIELAB coordinates correlate with underlying pigment content, enabling colour to serve as an informative proxy (Afonso et al., 2017; Ayour et al., 2016; Chen et al., 2023; Conesa et al., 2019; Lancaster et al., 1997; Lu et al., 2021; Singha et al., 1991), and this may also apply to cocoons, whose pigments are entirely plant-derived.

In this study we examine cocoon colorimetric variability across a wide collection of silkworm strains and evaluate whether each strain can be reliably associated with a defined colour or set of colours. We also seek a practical, robust classification framework suitable for strain identification, conservation, and valorisation of sericultural genetic resources.

2 Materials and methods

Silkworm rearing and cocoons preparation

The Sericulture Laboratory of CREA-AA in Padua maintains 177 silkworm strains, constituting the largest germplasm collection currently maintained in Europe. In this collection, 65 strains with naturally coloured cocoons have been studied; they are listed in Table S1 of the Supplementary Materials. Insects are reared under standard conditions on fresh mulberry leaves, harvested daily or stored up to 72 h at 12 °C in the dark. To preserve genetic diversity and limit inbreeding, 400 cocoons are collected annually from each strain. At least 72 mating pairs are set up, producing an equal number of egg batches, which are split into two replicates. One replicate is used to rear the next generation (2.5 g of eggs brushed), while the other is stored as reserve.

Cocoons were de-flossed, cut to extract pupae (preventing moth urine from staining fibres), and stored at 5 °C in the dark until colorimetric measurements, performed within three weeks of spinning.

Most strains were reared in April-May, when mulberry leaves are most abundant, with some reared in September-October to balance workload. The same strains were reared in the same season across the three-year study.

Instrumental colour measurements

Colour assessments were conducted over three consecutive years (2022-2024), with ten cocoons per strain measured in 2022 and 2023, and twenty in 2024. Measurements were performed in the CIE 1976 L a b colour space (CIE, 2019) using a spectrophotometer (CM-2500d, Konica Minolta Sensing, Japan). The L parameter indicates lightness, ranging from 0 (black) to 100 (white), a represents the green-red axis, with negative values corresponding to green and positive values to red, and b represents the blue-yellow axis, with negative values indicating blue and positive values yellow.

Measurements were taken on the external surface of each cocoon. A standard 8-mm-diameter measurement aperture was used to define the sample area, with settings configured for a D65 standard illuminant and a 10° standard observer. Measurements were carried out in both specular components included (SCI) and specular component excluded (SCE) modes.

Choosing the best equation for colour difference measurement

Data processing involved calculating colour distance ( Δ E ) to assess the degree of similarity or dissimilarity between two colours. The simplest known formula to compute Δ E is given by the Euclidean distance, which is the CIE76 method (Robertson, 1977), but since the CIELAB colour space is not perceptually uniform as equal Euclidean distances do not always correspond to equal perceptual differences, many alternative formulas exist to address this limitation (Luo, 2002). Each of these has been optimised for specific datasets, varying in scale, material type, colour differences, and sample dimensions, which may limit their applicability to other contexts. As no prior studies have evaluated models for characterising colour differences in silkworm cocoons, we conducted an experimental comparison of the most advanced colour difference formulae, i.e. CIE76, CMC (Clarke et al., 1984; McDonald, 1988), CIE94 (McDonald and Smith, 1995; Melgosa, 2016) and CIEDE2000 (Luo et al., 2001; Sharma et al., 2005). The CIEDE2000 colour difference equation is the latest evolution of the CIE76 and it is the one most used in textile industry (Luo et al., 2001).

The formulae were tested following Gomez-Polo et al. (2016). Twenty participants (8 males, 12 females; 18-60 years) individually sorted 40 cocoons, selected to cover the full colour range of the collection, into perceptual groups of their choice under standard illumination on a neutral grey background. For each participant, results were encoded in a 40 × 40 binary matrix (1 = same group; 0 = different groups). Matrices were summed to obtain an aggregate similarity matrix S, from which a dissimilarity matrix D was derived as D = N_observers − S. Matrix D was symmetric, ranging from 0 (all grouped together) to 20 (none grouped together).

Non-metric Multidimensional Scaling (MDS; Kruskal, 1964) was applied to D using the MASS package in R (v. 7.3-65; R Core Team, 2022; Ripley et al., 2023; Venables and Ripley, 2002). Model fit was assessed with stress (S-stress) and R 2 . Pairwise Euclidean distances from the MDS configuration were then correlated (Pearson’s r) with Δ E values calculated using alternative colour difference formulas. The formula showing the highest correlation was deemed most consistent with human perception and was subsequently used for further processing, including the establishment of an acceptability threshold for colour difference. The procedure is described in full detail in Annex S2 of the Supplementary Materials.

Pattern detection in L a b variability: PCA and cluster analysis

The analysis aimed to identify systematic patterns in colour distribution within and across strains. In the first part of the analysis, a and b coordinates were examined for each strain using PCA (centred, unscaled) to capture the two-dimensional variance structure. From PCA we extracted eigenvalues ( λ 1 , λ 2 ), linearity ratio ( λ 1 / λ 2 ), variance explained by PC1, eccentricity ( σ 1 / σ 2 ), and the slope/intercept of the first principal axis. In parallel, linear regression ( b a ) was performed to obtain slope, intercept, R 2 , and intercept significance. These metrics described the geometry, orientation, and coherence of chromatic distributions, enabling comparison of structural patterns across strains.

In the second phase of the analysis, the DBSCAN algorithm (Ester et al., 1996) was applied to identify clusters representing regions where colours exhibited a natural tendency to aggregate. DBSCAN detects dense point regions based on distance (𝜀) and minimum points (minPts). As point density varied across colour space, the dataset was partitioned into regions of similar density, and the algorithm was applied separately to each.

Intra- and inter-annual within-strain variability

Intra- and inter-annual chromatic variability was analysed to assess the stability of cocoon colour. Intra-annual variability was quantified by calculating all pairwise Δ E values within each strain and year, generating distributions to be compared against Δ E 50 and Δ E 100 . Inter-annual variability was assessed by computing pairwise Δ E values across all year-to-year strain combinations.

Evaluation of colour classification systems

Instrumental systems such as CIELAB provide precise values but are not intuitive for practical use. Standard references like Pantone® or RAL enable accessible visual classification, differing in resolution: finer categories allow greater discrimination, while broader ones offer tolerance and simplicity. For applied purposes, widely recognised systems are preferable, ideally offering broad coverage, few categories, low within-group variability, and clear separation.

We compared clustering of our dataset (CA – cluster analysis) with the Royal Horticultural Society (RHS) Colour Chart and two derived schemes: RHS-UPOV (UPOV hereafter) and RHS-UCL (UCL hereafter), shortly described below.

RHS colour chart: The RHS Colour Chart (Royal Horticultural Society, 1966) provides a standardised reference for plant variety description and was deemed suitable for cocoon colours, which derive from plant pigments. In this study, RHS codes were assigned to observations using the 2007 edition (892 swatches) and the ColourNameR package (Sánchez Beeckman, 2022) for L a b -to-RHS conversion.

UPOV nomenclature: Because the RHS chart is overly detailed for plant variety description, UPOV (International Union for the Protection of New Varieties of Plants, https://www.upov.int) developed a simplified system grouping RHS colours into 73 broad categories (e.g. Pink, Medium Red, Dark Purple), each with standardised names in four languages. UPOV names used here were retrieved with the ColourNameR package.

UCL nomenclature: The Universal Colour Language (UCL), developed by the Inter-Society Color Council-National Bureau of Standards (ISCC-NBS), was used in 1984 by the American Rhododendron Society (ARS) to classify RHS codes (1966 edition) (Huse and Kelly, 1984). These assignments were later revised based on spectrophotometric measurements (Voss, 2002; Voss and Hale, 1998). For the purposes of this study, UCL names corresponding to RHS codes were obtained from the official website of the Office of the American Rhododendron Society (Office of the American Rhododendron Society, 2025).

3 Results

Instrumental measurement results

Mean values of the CIELAB parameters L , a and b for each strain are reported in Table S1 of Supplementary Materials. The table also includes chromatic classifications based on four reference systems: RHS, UCL, UPOV and CA. Some strains were measured in only one or two years due to health-related issues that prevented the production of regular, classifiable cocoons. For all three parameters, the differences between SCI and SCE remained within ±1% (Figure S1, Supplementary Materials); therefore, all subsequent analyses were carried out using data collected in SCI mode only.

Evaluation of colour distance formulae

The ranges of colour distances observed in the 40 cocoon samples were as follows: CIE76 (0.52-51.00), CMC (0.27-24.61), CIE94 (0.21-20.00) and CIEDE2000 (0.24-14.71) (not shown). Following this, an MDS analysis was conducted on the perceptual similarity matrix, resulting in a two-dimensional coordinate configuration with a final stress value of 0.084, indicating a good fit.

Pairwise Euclidean distances between all cocoon pairs were then computed using the MDS-derived coordinates. These perceptual distances were plotted against the corresponding values from each colour difference formula, and Pearson correlation coefficients (r) were calculated to evaluate the strength of association, as well as their corresponding p-values. The resulting r values are summarised in Table 1.

Pearson's $r$ correlation coefficients between $\Delta E^{*}$ values and MDS distances of the visually assessed similarity matrix for cocoon pairs
Table 1

Pearson’s r correlation coefficients between Δ E values and MDS distances of the visually assessed similarity matrix for cocoon pairs

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

CIE76 showed the weakest correlation with perceptual distances obtained from visual assessment, whereas CIEDE2000 achieved the strongest correlation, albeit only marginally outperforming CIE94.

Establishing an acceptability threshold value for colour difference

Processed data from the MDS procedure were used to establish reference Δ E values. All colour pairs from the visual similarity matrix and their corresponding CIEDE2000 distances were plotted against the proportion of observers who placed each pair in different groups (Figure 1). Data points corresponding to 100% observer agreement were excluded from the regression analysis, as these values deviated from linearity. A linear regression was then fitted to the remaining points. The Δ E value corresponding to 50% observer agreement on the fitted line is 3.65, and was identified as the Δ E 50 acceptability threshold. By extrapolating the line to 100% observer agreement, a Δ E value of 7.2 was obtained, representing the Δ E 100 threshold. The Δ E 50 threshold may be interpreted as a low-tolerance threshold, while the Δ E 100 threshold defines a looser boundary. The appropriate threshold to apply depends on the intended use and sensitivity requirements of the analysis.

Acceptability threshold assessment for cocoon colour differences. $x$-axis, proportion of observers detecting a difference; $y$-axis, $\Delta E^{*}$ (CIEDE2000). Each point is one cocoon pair.
Figure 1

Acceptability threshold assessment for cocoon colour differences. x-axis, proportion of observers detecting a difference; y-axis, Δ E (CIEDE2000). Each point is one cocoon pair.

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

Relative frequency distributions (%) of CIELAB colour coordinates ($L^{*}$, $a^{*}$, $b^{*}$) measured on all silkworm cocoons used in this study.
Figure 2

Relative frequency distributions (%) of CIELAB colour coordinates ( L , a , b ) measured on all silkworm cocoons used in this study.

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

Overall variability in the L a b colour space

The relative frequency distributions of the CIELAB parameters (Figure 2) reveal patterns of colour variability across the silkworm cocoon dataset. The L values exhibit a unimodal distribution, slightly skewed toward higher values, with a dominant peak around L = 82. The limited spread ( σ 4.3) indicates low variation in lightness. The a values display a trimodal distribution, with a main peak near a = 10 (slightly reddish), a secondary peak in the negative range (greenish tones), and a weaker but still discernible third peak at higher positive values (more saturated reds). The relatively high standard deviation ( σ 9.13) reflects substantial chromatic variability along this axis. The b values show a bimodal distribution, with peaks around 40 and approx. 75, reflecting marked variation in the yellow component of cocoon colour. Overall, these patterns highlight limited variation in lightness but pronounced differences along the chromatic axes, particularly a and b .

Strain-level analysis of chromatic variation patterns

PCA and regression analyses revealed strong linearity in cocoon chromatic data within the a b plane (Table 2). Eigenvalue ratios ( λ 1 / λ 2 ; mean = 26.2, median = 14.5) and variance explained by PC1 (>91%, up to 99.7%) indicated highly anisotropic, with a well-defined dominant direction, near-unidimensional distributions, further supported by eccentricity ( σ 1 / σ 2 4.4, max > 19). Slopes from PCA and regression were consistent, with mean R 2 = 0.50 ( max > 0.93). Thus, chromatic variation is largely linear and directional, likely reflecting pigment gradients or other biological constraints.

Summary PCA statistics of chromatic distribution indicators within strains
Table 2

Summary PCA statistics of chromatic distribution indicators within strains

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

From these results it is clear that most strains exhibited a linear pattern of chromatic variation in the a b plane. Two directional patterns exhibited by the regression line are distinguishable. When the line crosses the origin (radial behaviour), the hue remains approximately constant, and variation occurs primarily in chroma. In contrast, when the line does not intersect the origin (non-radial behaviour), both hue and chroma vary jointly. Applying an empirical criterion (radial: PCA linearity > 5 and |intercept| < 30; non-radial: |intercept| > 40), 30 strains were classified as radial and 26 as non-radial, while the remaining strains displayed intermediate patterns and could not be clearly categorised.

Figure 3 shows examples of strains exhibiting radial behaviour (Fig. 3A), as well as others displaying non-radial or intermediate patterns (Fig. 3B).

Within-strain colour variation patterns in CIELAB space. Symbols represent different genotypes or groups.
Figure 3

Within-strain colour variation patterns in CIELAB space. Symbols represent different genotypes or groups.

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

Figure S2 in the Supplementary Materials exemplifies the interannual trend of variation in the a b chromatic space, indicating a directional shift in colour over time across all three example strains. This suggests a consistent temporal change in colour characteristics, independent of strain identity.

Cluster analysis

A preliminary visual inspection of the distribution of the measurements, based on the projection of points onto the a b plane, revealed that most values were concentrated in the central region of the a axis, specifically within the range 0 < a < 17. Measurements falling to the left and right of this interval exhibited lower densities. Accordingly, the algorithm was run separately on three subsets based on a values: a < 0, 0 < a < 17, and a > 17. Based on the thresholds previously established (Figure 1), the parameter 𝜀, defined as the maximum distance at which two points are perceived as similar, was set to Δ E 50 for all three subsets. While the minPts parameter, indicating the minimum number of points required to identify a core point, was adjusted to 5 for the two lateral intervals and to 40 for the central interval. These values were determined through a trial-and-error procedure aimed at minimising noise.

The procedure identified seven clusters, as shown in Figure 4. Each cluster has been assigned the colour of its respective medoid. The colours are rendered after conversion to the sRGB system to provide an approximate visual representation of the chromatic tone. Points classified as “noise” ( n = 213) are not shown.

Cluster analysis of colour performed using the DBSCAN algorithm. In each cluster, the colour of the symbols corresponds to that of the respective medoids and has been rendered after conversion to sRGB.
Figure 4

Cluster analysis of colour performed using the DBSCAN algorithm. In each cluster, the colour of the symbols corresponds to that of the respective medoids and has been rendered after conversion to sRGB.

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

CIELAB of the cluster medoids shown in Fig.~4 and relative colour classification (RHS, UPOV and UCL systems)
Table 3

CIELAB of the cluster medoids shown in Fig. 4 and relative colour classification (RHS, UPOV and UCL systems)

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

Table 3 provides a summary of the characteristics of the identified clusters, with the colour specifications for their medoids, which are the points with the minimum average distance to all other points within the cluster.

To better visualise clusters, they have been enclosed by a 95% confidence ellipse, derived from the covariance matrix of a and b . Ellipse shape and orientation were determined by eigen decomposition, providing a compact representation of cluster variability and spatial extent in CIELAB space.

Overall colour variability described with classification systems

After classification with RHS, UPOV, UCL and CA, notable differences emerged in the number and distribution of categories. The RHS system yielded 106 colours, with 63 covering 95% of observations; the most frequent was “15A” (19.3%). UPOV grouped colours into 19 categories, with 11 covering 95%; “medium yellow orange” was most frequent (34.1%). UCL produced 27 categories, 15 covering 95%, with “vivid yellow” most common (25.4%); one group (2.4%) had “no name” due to missing labels for RHS codes introduced in 2007 (e.g. N144D, N163D, N163C, N25D, N25C). CA produced only 7 classes, but with highly unbalanced representation: one class held 47% of observations, and two classes together explained over half of the variability. Table 4 summarises these results.

Relative frequency (%) of colours accounting for 95% of the dataset observations, classified according to three nomenclature systems: RHS, UPOV, UCL and CA (cluster analysis)
Table 4

Relative frequency (%) of colours accounting for 95% of the dataset observations, classified according to three nomenclature systems: RHS, UPOV, UCL and CA (cluster analysis)

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

Within-strain variability across intra- and inter-annual scales

Figure 5 offers a concise summary of pairwise distance distributions across all strains, presenting the medians and 95th percentiles for each, benchmarked against two reference red lines corresponding to Δ E 50 and Δ E 100 .

Pairwise within-strain $\Delta E^{*}$ distributions summarized by medians (open symbols) and 95th percentiles (grey symbols). Results are shown for within-year comparisons (A) and across-year comparisons (B). Strains are arranged in order of increasing median.
Figure 5

Pairwise within-strain Δ E distributions summarized by medians (open symbols) and 95th percentiles (grey symbols). Results are shown for within-year comparisons (A) and across-year comparisons (B). Strains are arranged in order of increasing median.

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

As for intra-annual variability, all medians fall below the Δ E 50 threshold. The 95th percentile remains mostly below Δ E 100 , with the exception of five strains, which do not exceed the Δ E value of 10. For six strains, the 95th percentile is even lower than Δ E 50 .

Inter-annual variability is notably higher. Approximately half of the medians exceed Δ E 50 , although all remain below Δ E 100 , apart from a single strain (B102). The 95th percentile exceeds Δ E 50 in almost all cases and surpasses Δ E 100 in 18 strains. Notably, for the strain B102, the 95th percentile reaches a maximum value of 16.1.

The ratio between the mean inter-annual distances and the mean intra-annual distance ranged from 0.98 to 2.02 for nearly all strains. Only strains B251 and B102 showed higher ratios of 2.87 and 3.10, respectively (not shown).

Descriptive efficiency of strain colour classification

RHS was the system that required the highest number of classes to describe within-strain variability, with an average of 6.2 labels needed to characterise 95% of the cocoons, while just under 2 were sufficient to describe 50% (Table 5). UPOV and UCL showed similar values of 2.6 and 3.0 for the higher variability threshold, and just over one class was needed to describe 50%. As expected, the classification based on the CA-derived groups proved to be the most concise, with an average of 1.4 classes sufficient to account for 95% of the variability within each strain.

Number of colours or colour groups required to account for 50% and 95% of the observations within each silkworm strain
Table 5

Number of colours or colour groups required to account for 50% and 95% of the observations within each silkworm strain

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

In terms of internal consistency, classification systems are expected to cluster individual measurements into groups with minimal internal variability, such that all observations within a group are perceived by the human eye as the same colour or colour type. In this respect, the RHS classification exhibited the lowest internal variability, with a mean Δ E of 1.88 and a maximum value consistently below 5.30. The UPOV system showed the highest mean Δ E = 4.3, and also displayed substantial variability, with colour differences within a single category occasionally exceeding 8. The UCL system, with a mean Δ E of 3.44, maintained all intra-group differences below a maximum of 5.54, broadly comparable to CA, which recorded a mean Δ E of 3.66 and a maximum of 4.8 (data shown in Figure S3 in the Supplementary materials).

These data can be further analysed as shown in Figure 6, where each pairwise difference in the dataset is associated with the ‘name switch’ frequency, that is, whether the naming system assigns different names or retains the same one at a given Δ E , where the greater the distance between two measurements, the higher the likelihood that they will be assigned different colour names.

Relationship between distances in colorimetric measurements and the probability of assigning different colour names by four classification systems.
Figure 6

Relationship between distances in colorimetric measurements and the probability of assigning different colour names by four classification systems.

Citation: Journal of Insects as Food and Feed 12, 7 (2026) ; 10.1163/23524588-bja10334

The full range of variation for RHS is contained between Δ E = 0 and 5. In contrast, UCL and CA span a broader range, both approaching saturation at Δ E = 10. The steepest part of the UCL curve lies primarily between 0 and 7, whereas CA displays most of its variation above Δ E 4. UPOV closely follows UCL up to a Δ E of approx. 4, after which it diverges significantly, remaining consistently lower and reaching saturation only at Δ E values around 14. This suggests that below this threshold, UPOV tends not to differentiate well between colours, even when all other systems already exhibit a 100% probability of detecting a difference.

For example, at Δ E 100 RHS detects differences with a probability of 99.9%, UCL at 94.5%, UPOV reaches 74.9%, whereas CA does not exceed 60%, meaning it fails to detect differences in approximately 40% of cases.

4 Discussion

Based on our findings, a thorough description of the cocoon colour variability within a wide-ranging and representative group of silkworm strains can be presented, deriving some useful guidelines about how to implement colorimetric assessment in germplasm characterization for this species.

Measurement geometry and data processing

In colourimetry, similarity between SCI and SCE modes indicates a matte, uniformly textured surface with negligible specular reflection. For silk cocoons, this means the specular component does not affect perceived colour under measurement conditions, ensuring consistent appearance is important for sericulture quality control and textile raw material selection.

The findings from the comparison of CIEDE2000 with alternative formulas utilised in the computation of colour distance corroborate the results reported in other research that examine this formula in contrast to CIE76 and other formulas utilised in distinct domains of application (Gibert et al., 2005; Gomez-Polo et al., 2016; Hauptmann et al., 2012; Luo et al., 2004).

The perceptibility threshold of 3.65 is consistent with other studies using the CIEDE2000 model across diverse fields. Reported tolerance thresholds generally range from 3-10 Δ E , with approx. 3 Δ E often representing the upper limit of acceptable perceptibility in food and clinical applications (Fernández-Vázquez et al., 2013; Ghinea et al., 2010), while differences above 5-6 Δ E are usually considered substantial and unacceptable when chromatic uniformity is required (Mokrzycki and Tatol, 2011; Silva et al., 2019). Overall, the CIEDE2000 model provides robust quantitative criteria for distinguishing marginally acceptable from clearly significant differences, depending on context.

Overall variability in the L a b colour space: patterns, clustering

The analysis clearly revealed that measurements were concentrated within specific regions of the colour space. In particular, the patterns observed in the a and b parameters are consistent with the presence of characteristic pigments found in leaves. In the positive range of a , carotenoids dominate the coloration, with lutein and β-carotene being the most abundant (Zhu and Zhang, 2014), while Ma and co-authors (Ma et al., 2015) further identified six specific carotenoids in domesticated yellow cocoons, including all-trans-lutein, neoxanthin, violaxanthin, and β-carotene.

The ratio between lutein and β-carotene underlies the formation of different hues: where lutein predominates, cocoons exhibit yellow to golden-yellow tones; conversely, a predominance of β-carotene shifts the colour towards orange-pink shades (Liu et al., 2024). In the present study, for yellow-red colouration, we observed two peaks in a and two in b , which, when combined, generate four poles defining the vertices of a square in the chromatic space.

For strains producing green cocoons through flavonoid accumulation, variation in green intensity depends both on the total flavonoid content and on the specific types of flavonoid derivatives produced. Mase et al. (2023) demonstrated that light-green and deep-green cocoons differ in both the quantity and quality of their flavonoid content. In other words, a higher concentration of flavonoids results in a darker, more intense green, whereas structural differences in the flavonoids can modify the hue. In our data, the green cocoons are those in which the linear variation in the a b plane is most evident, particularly showing a radial pattern in which hue remains constant, reflecting variation in pigment concentration.

In conclusion, the shape of the colour distribution in L a b space can provide insights into the underlying biochemical complexity: an elongated distribution along a single axis indicates that one pigment (or a co-varying pigment set) drives the chromatic change (e.g. Suzuki et al. 2024), whereas a more dispersed distribution points to multiple, independent pigment contributions or more complex chemical interactions. In our measurements, where we observed almost exclusively linear variations, we infer that they are determined by relatively simple chemistry. Accordingly, CIELAB colorimetric measurements can be considered reliable indicators of pigment content.

Cluster analysis

Clustering patterns were evident by visual inspection, yet algorithmic classification was challenging due to contiguous groups connected by diffuse point clouds, especially in the yellow-orange range. In some cases, points from different clusters were closer than those within the same cluster. Using an 𝜀 threshold of 3.65, seven clusters were identified, though many observations were discarded as noise. While clustering provides a means of grouping colours, the resulting classes are broad and can mask substantial differences, as also noted by Lu et al. (2021). The method may be useful for categorising broad “colour types,” but wider validation across more strains is needed for consistent application.

Colour classification and naming

The suitability of a classification system depends on its ability to capture the observed range of perceptual differences (0-7.2 Δ E ), differentiating colours beyond this threshold while retaining gradation within it. RHS offers high precision, exhausting its variability within 0-5, but requires >60 groups to cover 95% of variability, which is too complex to be of practical use. Optimised clustering fits the interval well with only 7 groups but is dataset-dependent and unsuitable as a standard without broader validation. UPOV is inadequate, failing to distinguish even large differences (>7 Δ E ) and showing strong imbalance (e.g. “medium light orange” grouping nearly half the strains). UCL extends to 0-10, saturates near 7, uses only 18 groups, and distributes colours more evenly, representing a practical compromise between accuracy and usability. Overall, RHS is most precise, clustering most efficient but non-standardisable, while UCL emerges as the most balanced and applicable system, especially via commercial colour charts.

Within strain colour difference between years

Environmental variability is expected to play a crucial role in the variability of colours, since it primarily influences leaf characteristics, but it can also impact physiology of insects despite they are reared under controlled conditions, with effects on pigment production. In this study, the only environment-related variability factor which could be controlled, is represented by the years, which has proven to be higher respect to the within-year variability.

The observed interannual variability can plausibly be attributed to changes in the biochemical composition of the leaves. Currently, to our knowledge, no specific data are available for mulberry concerning interannual variations in pigment content; however, such patterns have been more extensively investigated in forest species, where fluctuations in leaf biochemistry are often regarded as adaptive traits in response to climatic variability.

For instance, drier years have been shown to cause a decrease in carotenoid content in two Quercus species, (Mészáros et al., 2007), whereas warmer years tend to be associated with higher carotenoid concentrations (Szőllősi et al., 2011). Consistent interannual variation in carotenoids has also been reported for Nothofagus alpina, primarily linked to humidity and shading conditions (Arias-Rios et al., 2022).

Similarly, flavonoids are highly responsive to climatic factors: in Populus tremula, their concentrations increase during years with enhanced UV-B radiation (e.g. years with lower overall cloud cover), but decline under elevated temperature (Randriamanana et al., 2015). A pronounced interannual variability of phenolic compounds, including flavonoids, has likewise been documented in Fagus sylvatica, in association with thermal, water and nutrient stress (Steen et al., 2021)

Whatever the origin of variability, the principal question addressed in this study is whether the observed variability could compromise the stability of colour identification, a factor inherently dependent on the acceptance threshold for colour distance. The present findings indicate that, for the majority of strains, variability remained within acceptable limits when applying the Δ E 100 threshold across the three-year assessment. Nevertheless, these results should be interpreted with caution, as the stability of this threshold may vary according to strain-specific traits and environmental influences. Broader evaluations, encompassing diverse germplasm and extended temporal and ecological scales, will be required to substantiate the robustness of Δ E 100 as a reliable criterion for colour identification.

5 Conclusions

Cocoon colour in Bombyx mori is a genetically determined yet environmentally modulated trait, with potential as a strain marker. Analysis of 65 naturally coloured strains over three seasons showed that intra-strain variability generally remains within the threshold that was identified as the maximum acceptable ( Δ E 100 = 7.2), though interannual variation may exceed it in some cases. Two chromatic variability patterns – radial and non-radial – were identified on the CIELAB a b plane. Cluster analysis revealed discrete chromatic classes, with most strains concentrated in yellow and yellow-gold groups. Among classification systems tested, standardised clustering provided the most robust framework, while the combined UCL-RHS approach offered an effective compromise between resolution and practicality. Objective colour measurements should be integrated into silkworm straining and conservation programmes to enhance the characterisation and valorisation of sericultural genetic resources.

*

Corresponding author; e-mail: gianni.fila@crea.gov.it

Conflict of interest

The authors have no conflict of interest to declare.

Funding statement

The authors were supported by the ARACNE Project, funded by the European Union’s Horizon Europe research and innovation programme under the Grant Agreement No 101095188.

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