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PSYCHOLOGICAL AND PNAS PLUS COGNITIVE SCIENCES little is known about both the boundaries between emotion cat- experience. These varieties of reported experience can be com- egories and their arrangement within a larger semantic space of bined in ways that account for both individual emotion terms emotion, despite these issues’ controversial areas of con- and the collections of terms that comprise reported emotional trasting claims (2, 3, 20, 37, 50). Further, the states that have experiences. In other words, every term and reported experience been studied have been limited in scope, often encompassing corresponds, mathematically, to a single point within the seman- only 6 to 12 categories (46) (although see ref. 24), in large part tic space, determined by a linear combination of the semantic for methodological reasons. Widely used self-report measures, dimensions that define the space. For example, a semantic space such as the Positive and Negative Schedule, capture 10 could have a semantic dimension directly corresponding to the to 12 emotions (51–53). The same is true of widely used affect- term “,” with other terms such as “excitement” and “elation” eliciting stimuli, such as the International Affective Picture Sys- also positioned at various points along this dimension. Alterna- tem (54), and the Gross and Levenson films (55). As a result, tively, the terms joy, excitement, and elation could all correspond the array of emotional states captured in past studies is too to points obtained by applying suitable weights to other seman- narrow to generalize, a priori, to the rich variety of emotional tic dimensions, perhaps including “awe” and . Because this experiences that people deem distinct, including the expanding analysis entails that all reported emotional experiences are lin- array of emotion categories discovered to correspond to dis- ear combinations of the dimensions of a semantic space, it fol- tinct behaviors (16, 56). Also, many claims are founded upon lows that a semantic space can be derived by applying linear studies that apply multivariate techniques such as factor anal- dimensionality reduction techniques to self-report judgments of ysis to self-reports of contemporaneous or recalled emotional emotional experiences. However, accurately deriving a seman- experiences (24, 53, 57). Such studies have accounted for cor- tic space of reported emotional experience may require larger, relations between items (e.g., between valence and awe) but not more diverse samples of experiences than have been typical of the degree to which people agree on individual items that may be past factor analytic studies of the dimensions of reported emo- independent (e.g., reliable judgments of awe that do not simply tional experience (67). reflect positive valence). Further, past multivariate approaches Guided by this theorizing, we set out to use modern large- have relied on heuristic methods that do not generate P values, scale statistical methods and a large, diverse dataset to confidence intervals, or posterior probabilities in estimating how interrogate the semantic space of reported emotional experience many dimensions are needed to account for reported emotional elicited by dynamic visual stimuli. We first gathered the widest experiences (58). array of emotionally evocative stimuli ever studied: 2,185 short This investigation introduces a mathematically based concep- video clips depicting a range of emotional situations. The videos tual framework and empirical approach to characterizing the were gathered by querying search engines and content aggrega- varieties of experience captured by emotional self-report, the tion websites with contextual phrases targeting 34 emotion cat- most widely used measure of experience (1–10). By examin- egories, such as “close call” (targeting relief) and “mushroom ing emotional experiences reported in response to the widest cloud” (targeting awe). The 34 emotion categories were derived array of psychologically significant situations—powerfully evoca- from emotion taxonomies of prominent theorists (for a summary tive video clips—ever studied, we provide answers to the fol- see ref. 16); recent studies of positive emotions such as awe, joy, lowing questions. How many distinct varieties of emotion do love, , and excitement (68–70); Darwin’s observations of people reliably report experiencing across distinct situations? Is emotional states such as , , and reported emotional experience better understood in terms of (71, 72); findings of states found to reliably occur in daily inter- categories, such as amusement and awe, or in terms of widely actions, such as , awkwardness, and calmness (73); and measured affective dimensions, such as valence and effort? Do conceptualizations of nuanced differences between states such as boundaries between emotion categories such as amusement and fear, anxiety, and horror (74) (see Table S1 for a list of states and awe correspond to discrete jumps or smooth transitions in how their theoretical origins). The videos on average lasted about 5 s emotions are reported to be experienced (14, 37, 59)? and portrayed an exceptionally wide range of psychologically sig- We address these conceptual issues by focusing on self-reports nificant situations, including births and babies, weddings and pro- of emotion terms (e.g., anger or “love”), given that self-reports posals, and , and , endearing ani- are currently the most accessible measure of subjective experi- mals, whales and elephants, and , natural ence (1, 9). Self-reports carry information about a person’s inter- and wonders, natural disasters, explosions and warfare, and nal state (1, 9) and correlate with other psychological processes vomit, physical pratfalls, sexual acts, respected and hated celebri- that are thought to be emotion-related, such as expressive behav- ties, nostalgic films, awkward handshakes, delicious food, dance, ior (60–63). Nonetheless, it is important to note that the meaning sports, accidents and close calls, surgeries, risky stunts, soldiers of emotional self-report is subject to ambiguities, including basic returning home, and many others. indeterminacies of linguistic reference (64), difficulties in captur- We presented the emotionally evocative videos from this ing certain subjective phenomena in words [e.g., moods, mem- library to participants on Amazon Mechanical Turk to obtain ories, inchoate physical sensations, and automatic appraisals repeated (9–17) judgments of emotional states elicited by each (65)], differences in the granularity of emotional awareness and video. More specifically, participants provided one of three kinds expression (66), and influences on language use of culture, gen- of reports of emotional experience in response to a random sam- der, and social class. The subjective experience of emotion is pling of videos. One group offered free response interpretations shaped by many complex processes that self-report measures of their emotional response to each of 30 videos, thus allowing only partially capture; self-report is not a direct readout of us to ascertain which categories of emotion spontaneously arise experience. in people’s relatively unconstrained reports of subjective expe- Heedful of these considerations, in our theorizing we begin rience (75). A second group of participants rated each of 30 from the broad assumption that self-reported emotional experi- videos in terms of the degree to which it made them feel the 34 ences correspond to points within a semantic space. Such a space emotion categories of interest, allowing us to interrogate in finer is characterized by its dimensionality—the number of indepen- detail the structure of the reported emotional states correspond- dent directions in the space—and the distribution of all emo- ing to this set of categories. A final group of participants rated tional experiences that people can report along these dimen- each of 12 videos they viewed in terms of its placement along 14 sions. Conceptually speaking, each dimension of this semantic widely measured scales of affective dimensions, which, in varying space corresponds to a distinct variety of reported emotional combinations, are frequently used to measure self-reported

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PSYCHOLOGICAL AND PNAS PLUS COGNITIVE SCIENCES videos that evoked similar reported emotional experiences. To plot the 27 varieties of emotion elicited by the videos within this 2D space we use a chromatic map, in which each video is colored uniquely according to the specific varieties of reported emotional experience that it elicited. Specifically, the letters correspond- ing to each video are colored using a weighted interpolation of the colors corresponding to each of the semantic dimensions on which they loaded positively. Thus, smooth gradients between these semantically distinct varieties of reported experience corre- spond to smooth transitions in color. This analysis reveals a com- plex distribution of reported emotional experiences that is nei- ther simply clustered nor simply uniform. Inspection of Fig. 2A does reveal certain clusters of emotional experience, for exam- ple, those of craving (desire), and romantic love, and . At the same time, many categories of emotional experience share smooth gradients with other semantically dis- tinct categories, forming smooth transitions between particular varieties of reported emotional experience. For example, the videos are distributed along smooth gradients from anxiety to fear to horror to disgust, calmness to aesthetic appreciation to awe, and adoration to amusement to awkwardness, among oth- ers. Adjacent semantic dimensions along these gradients, such as anxiety and fear, were elicited by an overlapping set of videos, A Fig. 1. Factor analysis loadings on 27 dimensions of variance within the cat- corroborating the shape of the distribution revealed by Fig. 2 . egorical responses. Statistical analyses revealed that categorical judgments These results reveal that the boundaries between many distinct reliably captured up to 27 separable dimensions of variance, each corre- emotion categories are fuzzy rather than discrete. sponding to a semantically distinct variety of reported emotional experi- In more fine-grained analyses, we find that these fuzzy bound- ence. Here, the first 27 principal components of variance within the categor- aries are highly specific to particular pairs of distinct categories. ical judgments, extracted using principal components analysis (PCA), have As shown in Fig. 2B, anxiety and fear (F and Q) were elicited been rotated into more interpretable dimensions using varimax rotation, by many of the same videos (75 times in total), as were fear which finds dimensions that load on relatively few categories. Categories and horror (Q and R; 55 times), yet anxiety and horror were without maximal loadings on any dimensions (contempt, disappointment, elicited by few of the same videos (just eight times). Further envy, guilt, relief, sympathy, and triumph) were either not judged reliably or were taken as roughly linearly dependent with other more frequently used inspection of Fig. 2B reveals that emotion categories mapped to categories during dimensionality reduction. Categories loading on separate distant locations within the t-SNE space, such as awe and dis- dimensions were reliably separable in meaning with respect to the emo- gust, were seldom elicited by any of the same videos. These find- tional states elicited by the videos. The dimensions we derive from emotion ings converge with that emotion categories “cut nature self-report in response to short videos demonstrate a complexity of emo- at its joints” (20), but fail to support the opposite view that tion structure beyond what has been proposed in most emotion theories reported emotional experiences are defined by entirely indepen- to date, reliably differentiating emotional states as nuanced as aesthetic dent dimensions (82). Based on the distribution of emotional appreciation (i.e., feelings of beauty and awe). states elicited by thousands of videos along 27 semantic dimen- sions, we can infer that the majority of categories of emotion share fuzzy boundaries with one or two other distinct categories, The Distribution of Reported Emotional Experience: “Discrete” Cat- forming conceptually related chains of reported experiences, egories Are Bridged by Continuous Gradients of Meaning. Under- such as that from calmness to aesthetic appreciation to awe. To standing the semantic space of emotion requires examin- illustrate these findings and their conceptual implications, we ing not only the semantic dimensions of reported emotional provide a fully interactive version of Fig. 2A (https://s3-us-west- experience—that is, what distinct varieties of emotional experi- 1.amazonaws.com/emogifs/map.html) in which each video is dis- ence do people report?—but also the distribution of states along played when its position in the map is hovered over with the these dimensions. Such a line of inquiry is germane to an endur- cursor. Inspection of this map confirms qualitatively that within ing question: How can distinct varieties of emotional experience the 27-dimensional semantic space of reported emotional expe- be combined or blended together? Discrete emotion theorists riences, most states occupy continuous gradients as opposed to predict the shape of the distribution to approximate a number discrete clusters. of distinct clusters. Another possibility suggests that emotional states are more evenly distributed along affective dimensions Categorical Labels Explain More Variance in Reported Emotional such as valence and arousal (82). While it is difficult to visual- Experience than Proposed Affective Dimensions. We next com- ize a 27-dimensional point cloud, we can use modern data visu- pared the categorical structure of reported emotional experience alization techniques to interrogate how emotional responses to to the information carried by the 14 affective dimension judg- the 2,185 videos are distributed along the 27 semantic dimen- ments—approach, arousal, attention, , commitment, sions of emotional experience documented in the previous anal- control, dominance, effort, fairness, identity, obstruction, safety, ysis. In Fig. 2A we use a method called t-SNE (83). This method upswing (improvement of conditions), and valence. Some theo- projects high-dimensional data—the 27 dimensions of reported rists have suggested that categorical representations of emotion emotional experience we have uncovered—onto two nonlinear are explained largely by position within a space formed by par- axes, such that the local distances between data points are accu- ticular combinations of these affective dimensions (18, 24, 77, rately preserved while more distinct data points are separated by 82, 84). This claim has led to many studies measuring emotional longer, more approximate, distances. experience using some combination of affective dimensions (25– In Fig. 2A we apply t-SNE to map the 2,185 videos along all 35). To test whether the categorical judgments of emotional 27 semantically distinct varieties of emotional experience, result- states were a function of the affective dimension judgments, ing in a 2D space in which each video is surrounded by other we examined whether the affective dimension judgments could

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PSYCHOLOGICAL AND PNAS PLUS COGNITIVE SCIENCES better explain each of the categorical judgment dimensions, or abrupt changes in associated affective dimensions. To do so, we vice versa. That is, do affective dimension judgments of the regressed from the categorical ratings to the affective dimensions degree to which each video elicits displeasure, arousal, submis- across videos that elicited each of two different emotions to a siveness, and so on, better explain a person’s reports of fear, or significant extent. In these analyses, we found that the smooth does labeling an experience as fear better explain the person’s boundaries documented between particular categories reflected reports of these well-validated affective dimensions? We com- smooth variations in affective dimensions such as arousal and pared these possibilities using cross-validated regression tech- commitment to an individual (Fig. S4). That the affective dimen- niques. With both linear and nonlinear regression (Fig. 3) we sions vary smoothly across gradients between categories calls into found that the affective dimension judgments explained at most question the notion from basic emotion theories that prototypi- 61% of the explainable variance in the categorical judgment cal patterned responses are similar across all instances of a given dimensions, whereas the categorical judgment dimensions consis- category. While each category is associated with a specific pat- tently explained 78% of the explainable variance in the affective tern of affective dimension ratings, these ratings do not shift dimension judgments (Supporting Information). That the categor- abruptly across categories; rather, they vary smoothly along the ical judgment dimensions explained the affective dimension judg- gradients associated with each emotion category. ments substantially better than the reverse (P < 10−6, bootstrap test, both linear and nonlinear regression) suggests that the cat- Unifying Factors of the Meaning of Reported Emotional Experi- egories have more semantic value than the affective dimensions ences. A central claim across emotion theories is that emotional in explicating people’s reports of emotional experience elicited experiences are defined by factors that reflect the coalescence by short videos—that they capture most of what the 14 affective of affective dimensions and categorical labels of current experi- dimensions capture, and more, with respect to the emotions peo- ences (18, 22, 24, 86, 87). To examine the relationship between ple reliably report experiencing in response to evocative videos. the affective dimensions and categories, we ascertained how affec- tive dimensions covary with categorical judgment dimensions of Smooth Category Gradients Correspond to Smooth Differences in elicited emotion (24, 84). We did so by applying CCA between Reported Emotional Experience. The above analyses indicate that the 14 affective dimensions and 27 categorical judgment dimen- judgments of the affective dimensions were largely explained by sions associated with each video (Fig. 4). Here, CCA extracted the categories. How, then, do the affective dimensions vary as linear combinations of affective dimension judgments that corre- a function of the categorical judgments? For instance, do the lated maximally with linear combinations of categorical judgment affective dimensions vary smoothly across category gradients, or dimensions. This analysis yielded 13 significant canonical variates are there sharp jumps in affective dimensions at points where (P < 0.01), shared dimensions of variance between participants’ the most frequently reported category of emotion changes? self-reports of affective dimensions and categorical judgments of The presence of sharp jumps in associated affective dimensions their reported emotional experiences (Fig. S5). Each canonical between neighboring categories would support basic emotion variate might be thought of as a unifying factor, or central com- theories (85), which predict that basic emotions are associated ponent, of the meaning of reported emotional experiences, with with prototypical patterned responses (e.g., subjective, behav- both a categorical and affective dimension loading. ioral, and physiological) that are similar across all instances of Close inspection of Fig. S5 reveals how affective dimensions a given category but different, in discrete fashion, from the pat- relate to categories of emotional experience (for similar analy- terned responses of other emotions (22, 38, 39). In light of sis see ref. 24). For instance, the first canonical variate corre- these conceptual claims, we tested whether gradients between sponds almost exclusively to valence, the same initial dimension distinct reported emotional experiences reflected smooth or uncovered in nearly all factor analytic studies of reported emo- tional experience (18), and differentiates experiences of highly positive states (calmness and joy) from the most negative states (horror and empathic pain). More social affective dimensions such as feelings of dominance and approach likewise drive reported emotional experience. For example, judgments of approach and dominance, variates 4 and 6 in Fig. S5, account for variation in reports of anger (76, 88, 89). Judgments of commit- ment account for variation in reports of emotional experiences such as sadness and adoration that are closely related to attach- ment processes (90). To visualize each canonical variate, we project both its cate- gorical and affective dimension loadings onto our t-SNE map. In Fig. 4 B–E, loadings of the first six canonical variates—both cat- egorical (B and D) and affective dimension (C and E)—are pro- jected as colors onto the t-SNE map. Each color channel (red, green, and blue) in Fig. 4 B–E corresponds to a canonical vari- ate. Hence, the extent of similarity in color between B and C as Fig. 3. Variance explained by the categorical judgments in the affective well as between D and E indicate the extent to which linear com- dimension judgments, and vice versa. The categorical judgment dimen- binations of category judgments (B and D) are similar in meaning sions explain significantly more variance in the affective dimension judg- to particular linear combinations of affective dimensions (C and ments than vice versa (P < 10−6, bootstrap test). These findings hold when E). The maps allow us to further interpret some of the gradi- using both linear regression with ordinary least squares (Left) and nonlinear ents observed along the 27 varieties of reported emotional expe- regression with k-nearest neighbors (Middle). This suggests that the cate- riences represented in Figs. 1 and 2A. For example, the gradient gories have the most value in explicating reported emotional experiences from disgust to sadness is associated with a relative increase in elicited by short videos. (Explained variance was calculated using leave-one- out-cross-validation and then divided by the estimated explainable variance. commitment to an individual. For this analysis, we used nine ratings per video. For k-nearest neighbors, we Discussion tested k from 1 to 50 and show the results from choosing the optimal k, i.e., the one that resulted in the greatest average explained variance for each Central to the science of emotion are claims about the seman- prediction. See also Supporting Information. tic space of reported emotional experience: How many distinct

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PSYCHOLOGICAL AND PNAS PLUS COGNITIVE SCIENCES categories. These findings suggest a far more complex distribu- tent with findings by Kragel and LaBar (96) that representa- tion of emotional states than the clustered or more uniform dis- tions of subjective emotional experiences are found in high- tributions hinted at in discrete and dimensional theories (16, level brain regions (e.g., ). Our findings 37–39, 82). These findings also raise intriguing questions war- raise intriguing questions about how such brain regions might ranting further research. For example, the smooth gradients of encode the dozens of distinct varieties of emotion that we have affective meaning we document may account for how people uncovered. transition from one experience to the next (e.g., from admira- It is worth noting important limitations of the present investi- tion to awe; see ref. 91), and for mixed emotional experiences gation. As in so many studies of emotional experience, the con- (92, 93). clusions we might draw depend on the degree of correspondence Finally, our findings speak to the question of how people con- between self-reports and subjective experiences. As noted ear- ceptualize their emotional experiences in semantic terms. When lier, some aspects of emotional experience may elude self-report, participants were asked to judge their emotional state by choos- and there are other potential determinants of self-report besides ing from a list of 34 categories or by placing their experiences emotional experience. On this latter point, we note that reported along 14 different dimensional scales of affective appraisal and emotional experience may reflect a combination of three con- motivation, the categorical judgments more powerfully explained ceptually distinct phenomena: (i) emotional experience itself; (ii) variance in the affective dimension judgments than vice versa cognitive and perceptual experiences that may not in their own (Fig. 3). Categorical labels organize affective dimensions in a right be considered emotional, but may nevertheless color how coherent and powerful fashion. It is important to recognize that an emotional experience is labeled (18); or (iii) of the most current constructivist and appraisal theories seldom affective , that is, the emotional experience that a situ- propose that specific dimensions offer an exhaustive descrip- ation could potentially cause or should cause according to cul- tion of reported emotional experience (94). Nevertheless, hun- tural norms of emotional experience (18, 97). Future research dreds of studies of emotion-related behavioral, cognitive, phys- will need to systematically examine such processes, to the extent iological, and neural effects have focused on measurements of possible, to further characterize the semantic space of emotional valence, arousal, and other specific affective dimensions (24–36, experience. 76, 77). The present findings suggest that reported emotional It is also important to mention that we have focused on com- experience is more precisely conceptualized in terms of cate- monalities in the emotions people report experiencing in each gories more often put forward by discrete emotion theories (16, situation; individuals also differ, often in striking fashion, in their 37–39), although, contrary to discrete theories, we find that the reports of emotional responses to a given situation (98, 99). How- boundaries between emotion categories are fuzzy rather than ever, the results of an additional analysis we performed suggest discrete in nature. that differences such as gender, age, social class, and personal- Our findings dovetail with recent findings related to the neu- ity factors explained at most a small proportion of the variance ral representation of emotional experience. Most notably, Kragel in reported emotional experience compared with commonalities and LaBar (95) decoded emotional experiences from concomi- across participants (Fig. S6). Nevertheless, it will be crucial for tant fMRI of the human brain, documenting that distributed future studies to examine how such culture-related sources of patterns of brain activity distinguish among discrete emotions. variation in emotion self-report shape the structure of semantic Specifically, experiences of amusement, anger, , spaces of emotional experience. fear, sadness, and surprise could be discriminated with above- Granting these limitations and caveats, our results reveal how chance accuracy based on patterns of brain activation, even when emotion concepts are reliably structured in their association with classifiers were trained and tested on emotional states elicited by distinct situations. These findings have generative implications separate modalities of stimuli (film and ). In light of these for studies that relate reported experience to behavior, physi- findings, the results of the present investigation raise the intrigu- ology, and individual differences (14). With respect to neuro- ing possibility that distinct patterns of neural activation might physiology, for example, hundreds of studies of the brain regions distinguish among a much broader array of states than have been activated during reported emotional experiences have focused investigated so far, such as the many positive states we have doc- on valence and arousal or the six basic emotions (25, 26, 28, 29, umented here (e.g., aesthetic appreciation and awe) and may 34, 35, 42, 44, 47–49), leaving out the many other varieties of reflect continuous gradients rather than discrete categories. New reported emotional experience that we find reliably occur in dis- fMRI modeling approaches could fruitfully be combined with the tinct situations and that could potentially be represented in dis- emotion elicitation and multidimensional reliability estimation tinct brain activity patterns. techniques introduced here to determine the number of distinct Questions about the structure of reported emotional experi- varieties of emotion that are represented by distinct patterns of ences are foundational to the science of emotion. Answers to neural activity. such questions bear upon the most central theoretical claims in The present findings regarding the structure of self-reported the field. Our conceptualization of how emotional self-reports emotional experiences may also inform recent theoretical are situated within a semantic space and our geometric analytic efforts to explicate how such experiences are generated. For techniques have yielded more nuanced, complex answers than is example, in the higher-order theory of emotional conscious- typical in the theorizing that has sparked such intense debate. ness recently put forward by LeDoux and Brown (15), it Reported emotional experiences inhabit at least 27 dimensions is posited that emotional experiences are introspective states associated with reliably distinct situations and are distributed defined by schematic representations of psychologically signif- along continuous gradients between particular emotion cate- icant situations, and emotion terms are symbolic representa- gories within this space. With analytic methods, and by studying tions of these states. Cast within this theorizing, the reliabil- the widest array of emotions and elicitors to date, we have uncov- ity that we observed across participants in their reported emo- ered an approximation of a geometric structure of reported emo- tional responses to particular situations—viewing short videos— tional experience. emerges from commonalities in the symbolic structures partici- It will be important to extend these methods and findings to pants relied upon to label their emotional reactions to the evoca- studies of other emotion elicitors, such as music, daily activities, tive stimuli. The higher-order theory of emotional conscious- and social interactions. It will also be critical to ascertain geo- ness also predicts that emotional states are represented in parts metric structures of reported emotional experience within other of the brain responsible for higher-order cognition (15), consis- cultures and their languages, given that here we have only studied

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(ALE) vocal and facial for psychopathy. deficits in recognition expressions emotion pervasive of evidence Meta-analytic fmri and pet 385 of meta-analysis A stimuli: emotional studies. of processing the during tion findings. erp of review integrative 249–271. pp 3, Vol York), New (Guilford, LF Barrett JM, Jones neuroimag- from findings of meta-analysis A emotion: ing. in brain functional 415–424. pp Berlin), (Springer, lenge. Psychology ality secrets. and tricks, Tips, affect: e York). New 1:84–94. socrates.berkeley.edu/∼keltner/publications/keltner&Cordaro%202016.pdf. at able system. picture affective scales. panas The affect: negative and positive of emotions. self-reported state measuring for tool new A naire: feelings. negative and positive coexist. can theory emotion basic and structivism meta-analysis. voxel-based A emotions: 348. eetavne nbsceointheory. emotion basic in advances Recent behavior. expressive Neuroimage 84:394–421. nentoa ofrneo fetv optn n nelgn Interaction Intelligent and Computing Affective on Conference International ri e Rev Res Brain dJd J(abig nvPes e ok,p 220–252. pp York), New Press, Univ (Cambridge CJ Judd ed , 19:513–531. 10.1016/j.bandc.2015.04.006. 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