Contrast and range effects for category, magnitude and labeled magnitude scales in judgements of sweetness intensity

The labeled magnitude scale (LMS) is a verbally anchored quasi-logarithmically spaced response scale with properties similar to magnitude estimation. Three experiments examined whether the LMS showed context effects similar to those found with magnitude estimation and category scales. Two versions of the LMS were used, one anchored at the high end to the strongest imaginable sweetness and the other to the strongest imaginable oral sensation. In a simple contrast experiment, subjects judged the sweetness of a 10% sucrose fruit beverage in the context of a less sweet (5%) beverage or a more sweet (20%) beverage. Consistent with previous literature, the sweetness was judged more intense in the low context and less intense in the high context, for all scaling methods. In a second experiment, this effect persisted (although was smaller) when the contextual item preceded the to-be-rated item, a so-called 'reversed-pair' design. Once again, the effect was highly significant for all scaling methods. In a third experiment, a range effect was examined using wide and narrow ranges of concentration. Psychophysical functions were flatter in a wide context and steeper in a narrow context, consistent with previous observations on range-mapping bias. This result was obtained for all scales. In three common contextual effects, the labeled magnitude scale behaved similarly to other scaling procedures. Its application to comparisons across individuals may be limited if those individuals have different experiential contexts within which they make their judgements.     

HEDONIC SCALES ARE A BETTER PREDICTOR THAN JUST-ABOUT-RIGHT SCALES OF OPTIMAL SWEETNESS IN LEMONADE1

A comparison of hedonic scales and just-about-right (JAR) scales is needed because data in previous studies using JAR scales suggest that predicted optimum levels of ingredients often are not the same as the levels in products that currently are sold successfully. Thus, in this research, consumers tested lemonade varying in sugar concentration from 6% to 14%, using (1) a JAR scale formed by boxes or a line and (2) a hedonic box-type scale. Predicted “optimum” levels of sweetness for the lemonade and differences in liking for the formulations were determined. The JAR line and box scales gave similar predicted optimal results (9.2% and 9.4% sucrose, respectively), which were significantly lower than the hedonic scale results (10.3% sucrose). In a preference test, consumers significantly preferred the 10.3% sugar lemonade over the 9.3% concentration, indicating that, based on paired preference testing, the hedonic scale resulted in better prediction of optimal sweetness than the JAR scale.     

EFFECT OF HEALTH CONCERN AND CONSUMPTION PATTERNS ON MEASURES OF SWEETNESS BY HEDONIC AND JUST-ABOUT-RIGHT SCALES

An established disparity between hedonic scales and just-about-right (JAR) measures, important for product development procedures, was examined for sweetness in lemonade by consumer groups divided on the basis of health concern level and consumption patterns related to sweet foods, regular and diet drinks and 'healthy eating'. The disparity was demonstrated by all subgroups in that the JAR scale identified a lower sucrose concentration as nearest 'just right'compared to that identified as 'most liked'by the hedonic scale. Regression analysis predicted lower optimum sweetness for the JAR than the hedonic scale. For subjects who completed both tests the disparity was significantly different from zero. Trends of differences in response on both scales and for the disparity according to health concern and consumption patterns were demonstrated graphically. Few of these effects were statistically significant, but the differences in disparity level could justify market segmentation of drink products with different sucrose levels.     

Validation of a handheld display device for an expandable labeled magnitude scale (LMS)

Palmtop computers provide a possible avenue for the convenient collection of subjective ratings from individuals outside of a fixed laboratory setting. One disadvantage of these computers is the small size of their display screens, which may reduce the resolution of responses available as compared with standard display screens. One plausible solution to this problem is to use a scale that expands contingent on an initial response made by the subject, so that the final response is made from a scale with finer resolution. To validate this approach, we compared taste intensity judgments of six sucrose solutions (0.03, 0.06, 0.12, 0.24, 0.48, and 0.96 M), using a labeled magnitude scale either presented in expandable form on a palmtop computer (Palm scale) or in conventional (nonexpandable) form on a standard 17' PC monitor (PC scale). Twenty-four subjects rated all six sucrose solutions thrice, using both scale types, the different scales being used on different days of testing. The scales led to very similar taste intensity ratings at all but the lowest concentration, which was rated less intense on the Palm scale. The Palm scale was used with slightly less precision than the PC scale for the weakest solution concentrations. In summary, the responses of the two scales were similar enough to validate the use of the expandable scale on the palmtop computer outside the laboratory setting.     

Limiting response alternatives in time-intensity scaling: an examination of the halo-dumping effect

Time-related measurements pose some challenges to psychophysicsand to applied sensory testing methods including control ofpsychological biases which have been found in single-point scaling.This research examined enhancement of ratings when responsealternatives were limited in time-intensity scaling tasks usingrepeated category ratings. Panelists rated a pseudo-beveragecontaining sweetener and flavor and one with sweetener onlyover a 90-s period. The aromatic flavor caused an increase insweetness intensity and especially so when the panelists werelimited to sweetness responses only. The odor-induced enhancementof sweetness was smaller when panelists were given both flavorand sweetness response options than when the panelists weregiven only a sweetness scale. Prior use of both scales in aprevious experimental session did not lessen the halo-dumpingenhancement effect. In one study, sweetness ratings of sucrosealone were depressed when the additional scale for flavor wasprovided, perhaps due to inappropriate partitioning of responses.     

A COMPARISON OF CATEGORY AND LINE SCALES UNDER VARIOUS EXPERIMENTAL PROTOCOLS

Judges were required to rate the total intensity of NaCl solutions and the sweetness of orange flavored beverages using a variety of unstructured category and line scales. Discrimination errors were noted for each type of scale. No strong differences were observed in discrimination between category and line scales although a 20-point category scale incurred fewer discrimination errors than 9-point category and line scales. Allowing judges to retaste stimuli and review and modify their scores reduced discrimination errors.     

CONTEXT EFFECTS AND REFERENCE STANDARDS WITH MAGNITUDE ESTIMATION AND THE LABELED MAGNITUDE SCALE

Contextual shifts were observed for sweetness of a fruit beverage and for estimated tactile roughness of sandpapers. Midrange stimuli were judged to be less intense in the context of stronger items and more intense in the context of weaker items, a contrast effect. The use of a reference standard decreased the size of the contrast shift for the labeled magnitude scale but not for magnitude estimation.     

Relationships among taste qualities assessed with response-context effects

Psychophysical judgments often depend on stimulus context. For example, sugar solutions are judged sweeter when a tasteless fruity aroma has been added. Response context also matters; adding a fruity aroma to sugar increases the rated sweetness when only sweetness is considered but not when fruitiness is judged as well. The interaction between stimulus context and response context has been explored more extensively in taste-odor mixtures than in taste-taste mixtures. To address this issue, subjects in the current study rated the sourness of citric acid mixed with quinine (bitter), sodium chloride (salty), and cyclamate (sweet) (stimulus context). In one condition, subjects rated sourness alone. In another, subjects rated both sourness and the other salient quality (bitterness, saltiness, or sweetness) (response context). Sourness ratings were most sensitive to response context for sour-salty mixtures (i.e., ratings of sourness alone exceeded ratings of sourness made simultaneously with saltiness) and least sensitive to context for the sour-sweet mixtures (sourness ratings made under the 2 conditions were essentially identical). Response-context effects for the sour-bitter mixture were nominally intermediate. The magnitudes of these context effects were related to judgments of qualitative similarity between citric acid and the other stimuli, consistent with prior findings. These types of context effects are relevant to the study of taste-taste mixture interactions and should provide insight into the perceptual similarities among the taste qualities.     

USE OF THE DISCRIMINANT FUNCTION TO PREDICT THE NUMBER OF CONSUMERS WHO DISCRIMINATE

Three brands of chocolate milk were evaluated for liking, sweetness, creaminess and natural flavor by 48 consumers, using 100mm line scale. The mean sweetness score for one brand was significantly different to the other two and all other attributes were similar. Discriminant analysis on scores from the line scales showed that 63.8% of the evaluations of the least sweet brand (Brand A) were classified by the discriminant function as belonging to the least sweet brand. 19.1% of the scores for Brand B and 17.0% for Brand C were classified as identifying Brand A. A simple count of the number of consumers ranking each brand as least sweet showed that 63.8% chose Brand A, 19.1% Brand B and 17.0% Brand C. This suggests that the discriminant function provides a measure of the proportion of assessors who can tell the difference or, a measure of the degree of confusion between samples.     

EFFECTS OF HEALTH-RELATED CLAIMS ON THE DIFFERENTIAL THRESHOLD OF CONSUMERS' SWEETNESS SENSATION

Health concerns play an important role in people's consumption of food products and judgments of food taste. Previous studies on the effects of food labeling suggest that consumers' sensory evaluations are influenced by health concerns. The current study examined whether health-related claims would affect sweetness sensations. Differential thresholds for sensitivity to sweetness were measured separately under three conditions: without health-related claims, with a label suggesting a health advantage and with a health warning label. Results indicated that thresholds under both health-related labeling conditions were lower than those under the condition with no health-related claim, suggesting that consumers exposed to health-related labels were more sensitive to sweetness. The threshold for the health advantage label lay between those for no health-related claims (which yielded the highest threshold) and the health warning (which yielded the lowest). These findings are discussed in terms of health concerns, and suggestions for future research are explored.

PRACTICAL APPLICATIONS

The insights gained in this study give researchers and marketers information about how to measure consumers' differential threshold of sweetness threshold with the psychophysical method. It provides information about the effects of health-related claims on the differential threshold of sweetness sensation. The findings and explanations are beneficial for product development researchers and marketer to predict consumers' change of differential threshold when employing health-related claims to influence sweetness sensation of food products with varying levels of sweetener changes.     

Scale dependence of temperature as an abiotic driver of species' distributions

Aim Scale dependence of patterns and processes remains one of the major unresolved problems in ecology. The responses of ecosystems to environmental stressors are reported to be strongly scale dependent, but projections of the effects of climate change on species' distributions are still restricted to particular scales and knowledge about scale dependence is lacking. Here we propose that the scale dependence of those species' niche dimensions related to climate change is strongly related to the strength of climatic cross‐scale links. More specifically, we hypothesize that the strong cross‐scale links between micro‐ and macroclimatic conditions are related to high cross‐scale similarity (low scale dependence) of species' realized temperature niches and, thus, species' spatial distributions. Location This study covers seven orders of magnitude of spatial scale, ranging from local‐scale (below a metre) and regional‐scale (kilometre) investigations in central European wetland ecosystems to continental‐scale (thousands of kilometres) studies of species' distributions. Methods We combined data on the spatial occurrence of species (vegetation records at local and regional scales, digitized distribution maps at the continental scale) with information about the corresponding temperature regime of vascular plant species occurring in environmentally stable wetland ecosystems characterized by strong cross‐scale links between micro‐ and macroclimatic conditions. Results We observed high cross‐scale similarity of the characteristics of species temperature niches across seven orders of magnitude of spatial scale. However, the importance of temperature as an abiotic driver decreased nonlinearly with decreasing scale, suggesting greater importance of additional (biotic) drivers of species' occurrence at small spatial scales. Main conclusions We report high cross‐scale similarity of realized temperature niches for species inhabiting ecosystems where small‐scale environmental noise is low and cross‐scale links between micro‐ and macroclimatic conditions are strong. By highlighting a strong relationship between abiotic and biotic cross‐scale similarity, our results will help to improve niche‐based species distribution modelling, one of the major assessment tools for determining the ecological effects of climate change.     

Scale-dependent spatial variability of coral assemblages along the Florida Reef Tract

 Coral reef communities of the western Atlantic have changed over the past two to three decades, but the magnitude and causes of this change remain controversial. Part of the problem is that small-scale patterns observed on individual reefs have been erroneously extrapolated to landscape and geographic scales. Understanding how reef coral assemblages vary through space is an essential prerequisite to devising sampling strategies to track the dynamics of coral reefs through time. In this paper we quantify variation in the cover of hard corals in spur-and-groove habitats (13–19 m depth) at spatial scales spanning five orders of magnitude along the Florida Reef Tract. A videographic sampling program was conducted to estimate variances in coral cover at the following hierarchical levels and corresponding spatial scales: (1) among transects within sites (0.01- to 0.1-km scale), (2) among sites within reefs (0.5- to 2-km scale), (3) among reefs within sectors of the reef tract (10- to 20-km scale), and (4) among sectors of the reef tract (50- to 100-km scale). Coral cover displayed low variability among transects within sites and among sites within reefs. This means that transects from a site adequately represented the variability of the spur-and-groove habitat of the reef as a whole. Variability among reefs within sectors was highly significant, compared with marginally significant variability among sectors. Estimates from an individual reef, therefore, did not adequately characterize nearby reefs, nor did those estimates sufficiently represent variability at the scale of the sector. The structure and composition of coral reef communities is probably determined by the interaction of multiple forcing functions operating on a variety of scales. Hierarchical analyses of coral assemblages from other geographic locations have detected high variability at scales different from those in the present study. A multiscale analysis should, therefore, precede any management decisions regarding large reef systems such as the Florida Reef Tract. Accepted: 19 July 1999     

Spatio‐temporal variation in European starling reproductive success at multiple small spatial scales

Understanding population dynamics requires spatio‐temporal variation in demography to be measured across appropriate spatial and temporal scales. However, the most appropriate spatial scale(s) may not be obvious, few datasets cover sufficient time periods, and key demographic rates are often incompletely measured. Consequently, it is often assumed that demography will be spatially homogeneous within populations that lack obvious subdivision. Here, we quantify small‐scale spatial and temporal variation in a key demographic rate, reproductive success (RS), within an apparently contiguous population of European starlings. We used hierarchical cluster analysis to define spatial clusters of nest sites at multiple small spatial scales and long‐term data to test the hypothesis that small‐scale spatio‐temporal variation in RS occurred. RS was measured as the number of chicks alive ca. 12 days posthatch either per first brood or per nest site per breeding season (thereby incorporating multiple breeding attempts). First brood RS varied substantially among spatial clusters and years. Furthermore, the pattern of spatial variation was stable across years; some nest clusters consistently produced more chicks than others. Total seasonal RS also varied substantially among spatial clusters and years. However, the magnitude of variation was much larger and the pattern of spatial variation was no longer temporally consistent. Furthermore, the estimated magnitude of spatial variation in RS was greater at smaller spatial scales. We thereby demonstrate substantial spatial, temporal, and spatio‐temporal variation in RS occurring at very small spatial scales. We show that the estimated magnitude of this variation depended on spatial scale and that spatio‐temporal variation would not have been detected if season‐long RS had not been measured. Such small‐scale spatio‐temporal variation should be incorporated into empirical and theoretical treatments of population dynamics.     

Bitter taste of saccharin and acesulfame-K.

The relationships among suprathreshold taste responses to acesulfame-K, Na-saccharin and 6-n-propylthiouracil (PROP) were examined in two studies. In the first study, the labeled magnitude scale was used with the high anchor labeled as 'strongest imaginable oral sensation' and in the second study, it was labeled as 'strongest imaginable sensation of any kind'. Results from the two procedures were similar. Individual differences among 65 subjects were seen in bitter responses to acesulfame-K and saccharin. Bitter responses to acesulfame-K ands accharin were positively correlated, but showed no significant relationship with responses to PROP bitterness or with PROP taster groups. Saccharin and acesulfame-K may share a common mechanism for bitter taste reception and transduction, one that varies across individuals and is different from mechanisms mediating bitter responses to PROP. Changing the instructions of the labeled magnitude scale induced a context effect. Ratings of sweetness referenced to the 'strongest imaginable sensationof any kind' were lower than ratings referenced to just oral sensations.     

A COMPARISON OF METHODS FOR MONITORING INDIVIDUAL PERFORMANCES IN TASTE SELECTION TESTS

The evaluation of panel performance was made by three methods: average of correct responses (A), comparison of distances of individual standardized judgments to the average standardized responses (D) and a principal components analysis (PCA). Thirty assessors identified water and basic tastes and discriminated different sweet stimuli in neutral or acidified vehicles using R‐index rating and ranking tests. By A and D methods 22 assessors were qualified as proficient. Composition of both panels was identical except for one judge. The output from PCA provided a graphical representation of the performance of the assessors and retained different subsets of 24–26 panelists for different proposals as discrimination of sweetness in acidified beverages, recognition of bitterness, sourness and discrimination of slight sweetness or evaluation of saltiness.     

Perception of sweetness in simple and complex taste stimuli by adults and children.

Currently, there is little information on the ability of children to analyse complex chemosensory stimuli in terms of the presence and magnitude of the components. The present study investigates this question by comparing the ability of 95 adults and 8- to 9-year-olds to estimate the sweetness of several concentrations of sucrose in water and in three foods, namely, orange drink, custard and shortbread biscuits, using a magnitude estimation procedure. The results indicated that similar response functions were produced by adults and children for the sweetness of aqueous solutions of sucrose, custard and biscuits, but not for orange juice, where the functions produced by both female and male children were significantly flatter than those of the adults. Stimulus context may have influenced the ratings of children in the no-sucrose and highest sucrose concentration conditions with two of the foods. The absence of differences between the response functions of the female and male children with all types of stimuli indicated that gender had no influence on their responses. It is concluded that, at mid-childhood, humans are capable of estimating the sweetness of sucrose in foods, but that they have a tendency to limit the range of numbers used in their estimates of sweetness at high concentrations of sucrose in some foods.     

The effect of viscosity on the perception of flavour

A trained sensory panel assessed flavour and sweetness intensity in solutions containing varying concentrations of hydroxy propyl methylcellulose (HPMC), sugar and flavour volatile. The flavour and sweetness of the viscous solutions were rated using magnitude estimation with a controlled modulus. In addition, the concentration of volatile released on the breath was measured using MS Nose. For low concentrations of HPMC (<0.5 g/100 g), perceived flavour intensity remained the same; however, a steady decrease was noted at higher concentrations (>0.6 g/100 g). The change in perceived intensity occurred at the point of random coil overlap (c(*)) for this hydrocolloid. The perceived sweetness of the solution showed a similar pattern with increasing HPMC concentration, although the inflection at c(*) was not so obvious. Despite the change in perceived flavour intensity, the actual concentration of volatile measured on the breath was not affected by the change in HPMC concentration. Low-order polynomial models were produced to describe perceived flavour intensity and sweetness in viscous solutions containing HPMC and potential explanations for the changes in perception are discussed.     

Multi-scale modeling in biology: how to bridge the gaps between scales?

Human physiological functions are regulated across many orders of magnitude in space and time. Integrating the information and dynamics from one scale to another is critical for the understanding of human physiology and the treatment of diseases. Multi-scale modeling, as a computational approach, has been widely adopted by researchers in computational and systems biology. A key unsolved issue is how to represent appropriately the dynamical behaviors of a high-dimensional model of a lower scale by a low-dimensional model of a higher scale, so that it can be used to investigate complex dynamical behaviors at even higher scales of integration. In the article, we first review the widely-used different modeling methodologies and their applications at different scales. We then discuss the gaps between different modeling methodologies and between scales, and discuss potential methods for bridging the gaps between scales.     

A nonintrusive method for determining relative body fat in free-ranging monkeys

A procedure is described for designing simple obesity rating scales for use with free-ranging rhesus monkeys (Macaca mulatta). Ratings are based on observers' judgments of degree of overall obesity of individual monkeys. The procedure was tested separately on samples of males and females over 2 successive years. Within each of these four samples, observers' judgments were both highly reliable and highly correlated with actual measures of body weight and with estimates of body fat based on morphometric measures, including the Quetelet index. To test the degree to which scores from different applications of the scale could be compared with one another, regression functions were calculated for scale vs. the Quetelet index and for scale vs. body weight for each application. No significant differences were found among the four regression functions for scale vs. the Quetelet index for fully grown adult monkeys. This suggested that observers' judgment criteria with regard to this measure were sufficiently stable across the four test applications to allow meaningful comparison of scores. Comparable analyses for body weight suggested that observers' judgment criteria were stable over time but not between sexes. These data suggest that observers had been successful in attending more closely to obesity than to body weight. Obesity scales have many potential uses both in the field and in captivity provided they are adequately tested before use.