Our target paper argued for the ubiquity of frequency effects in acquisition, and that any comprehensive theory must take into account the multiplicity of ways that frequently occurring and co-occurring linguistic units affect the acquisition process. The commentaries on the paper provide a largely unanimous endorsement of this position, but raise additional issues likely to frame further discussion and theoretical development. Specifically, while most commentators did not deny the importance of frequency effects, all saw this as the tip of the theoretical iceberg. In this short response we discuss common themes raised in the commentaries, focusing on the broader issue of what frequency effects mean for language acquisition.
LANGUAGE ACQUISITION AND LANGUAGE PROCESSING
The first theme arising from the commentaries concerned the intimate relationship between acquisition and language processing. While acquisition researchers are ultimately concerned with how children come to acquire linguistic knowledge, this process is inevitably constrained by the fact that input must be filtered through the parser (Bates & MacWhinney, Reference Bates, Mac Whinney, Wanner and Gleitman1982; Fodor, Reference Fodor1998; Seidenberg & MacDonald, Reference Seidenberg and MacDonald1999). What this means is that language acquisition is, in fact, a product of the language processing system, and is thus constrained by the limitations of that system's capabilities. As O'Grady and Ellis & Ogden point out, this fact provides us with constraints on theory building that acquisition researchers sometimes forget. Concepts such as “the power law of learning”, “contingency”, ambiguity, and “prototypicality” (Ellis & Ogden) can be used to determine how much of the input signal is likely to be processed by the child's language processor, which will in turn determine how much that child learns from any one instance of input. Conceptualizing acquisition in these terms links acquisition to “sixty years of psycholinguistic research into … fluent language processing” (Ellis & Ogden) and, importantly for our focus here, can link acquisition to processing theories based on learning theory that “generate the observed frequency effects for free” (Ellis & Ogden). For instance, this approach links frequency effects to demonstrations of powerful distributional learning abilities in young infants (Arnon, Diessel), and directs us to domains and phenomena that further constrain our theories (e.g., memory, O'Grady). As Ellis & Ogden point out, language is a complex adaptive system; dynamic processes such as language acquisition, real-time language processing, and language variation and change (as discussed by Diessel) tell us that it couldn't be any other way. Frequency effects are one signature of this dynamism.
MECHANISMS FOR ACQUISITION
However, the story only begins here, and inevitably the devil is in the detail. In particular, we currently lack consensus on the theoretical constructs that constitute the child's processing system and how it generates frequency effects. Once again, situating language acquisition within the broader field of cognitive science provides important clues to the nature of the language learning mechanism. Ellis & Ogden point us toward exemplar-based theories of cognition, situating language acquisition within classic domain-general approaches to cognition (Ebbinghaus, Reference Ebbinghaus1913 [1885]; see also Reber, Reference Reber1993), the footprints of which we see in functionalist theories of acquisition (e.g., MacWhinney & Bates, Reference MacWhinney and Bates1989; Tomasello, Reference Tomasello2003) and language (e.g., Bybee, Reference Bybee2010; Goldberg, Reference Goldberg2006; Diessel, this volume). Adding to the focus on learning theory, Arnon identified prediction as integral; specifically, a distributional learner processing language in real time will come to make predictions about upcoming content based on her past learning history, and inevitable errors in prediction lead to representational change in the system. Prediction as an explanatory construct has gained traction in the adult psycholinguistic literature (e.g., Hale, Reference Hale2006; Jaeger, Reference Jaeger2010; Pickering & Garrod, Reference Pickering and Garrod2013), and is an integral component of Chang, Dell, and Bock's (Reference Chang, Dell and Bock2006) connectionist model of syntax, which explicitly links acquisition to adult sentence production. If children are doing prediction-for-learning (Chang, Kidd & Rowland, Reference Chang, Kidd and Rowland2013), then this may be an important driver of representational change in the developing linguistic system.
Turning to the processing cost associated with syntactic acquisition (i.e. why some structures are more difficult than others), we agree with O'Grady that the role of frequency is best revealed by studying phenomena where internal constraints work antagonistically with frequency information (consistent with our interaction thesis). He explicitly identifies Working Memory (WM) as one such internal constraint on information processing that places computational limits on acquisition and therefore the shape of the linguistic system. While we have no doubt that information processing is capacity-limited, there is reason to believe that drawing a sharp distinction between WM and long-term linguistic representations, where frequency is likely to be encoded (Diessel), is something of a false dichotomy (see Jones, Gobet & Pine, Reference Jones, Gobet and Pine2008). For instance, WM effects in adult processing of object RCs disappear following increased exposure to complex sentences (Wells, Christiansen, Race, Acheson & MacDonald, Reference Wells, Christiansen, Race, Acheson and MacDonald2009), and priming studies suggest that increased exposure to object RCs make them more easily accessible (Hutton & Kidd, Reference Jaeger2011; Nitschke, Kidd & Serratrice, Reference Nitschke, Kidd and Serratrice2010). Such findings are difficult to account for in a model that treats WM and long-term representations as independent (for further discussion, see Kidd, Reference Kidd2013).
Explicating the dynamic mechanisms of language acquisition has important consequences for explaining individual differences in language acquisition (Rowe, Schwartz). As Rowe points out, frequency in the input does not equate to guaranteed and uniform intake for all children. This is evident in separate points made by Shirai and Schwatrz: Shirai argues that a relatively frequent association between telic verbs and past tense marking translates to an overwhelming preference for the same association in acquisition in English, whereas Schwartz has shown that acquisition varies with exposure schedule (an effect not exclusive to language; Dunlosky, Rawson, March, Nathan & Willingham, Reference Dunlosky, Rawson, March, Nathan and Willingham2013), which differs for children with language impairment. Therefore, while variations in input frequency attributable to environmental influences (e.g., SES) and properties of social interaction (e.g., parental responsiveness, joint attention) significantly affect acquisition, these effects interact with internal neurocognitive constraints and pre-existing biases. This means that a full explanation of individual differences requires an understanding of how the language processing system filters the input, which, in turn, requires an understanding of the theoretical constructs that constitute that processing system. This brings our discussion of mechanism full circle. O'Grady identifies WM as one candidate for constraints on the language processing system, but there are other mechanisms that directly bear on a child's ability to learn from the input. One promising idea is that the child's ability to find patterns in linguistic material (and thus her ability to do statistical learning; Aslin & Newport, Reference Aslin and Newport2012; Romberg & Saffran, Reference Romberg and Saffran2010) is beginning to be linked to individual differences in typical language development (Kidd, Reference Kidd2012) and to language impairment (e.g., Hsu and Bishop, Reference Hsu and Bishop2010, argue that impaired statistical learning skills may prevent children with SLI developing abstract syntactic representations).
However, in a dynamic language system, individual differences ultimately arise from a complex interplay between external factors and internal constraints on acquisition over time. For instance, while the quality of the linguistic environment will exert an independent effect on uptake, the efficiency of a child's learning mechanism will also be a product of her environment up to that point (e.g., 18-month-olds who have richer input process linguistic stimuli more quickly; Hurtado, Marchman & Fernald, Reference Hurtado, Marchman and Fernald2008). Therefore, as Rowe correctly points out, other levels and kinds come into play, such that it is likely that frequency has non-linear effects on uptake. Capturing these processes in a comprehensive theory of language acquisition is no small task. Here we follow Ellis & Ogden in championing the role of computational models in this research effort (e.g., Twomey, Chang & Ambridge, Reference Twomey, Chang and Ambridge2014), and follow Shirai and Edwards, Beckman & Munson in stressing the importance of cross-linguistic research in teasing apart factors, such as verb frequency and verb semantics, that are often confounded in commonly researched languages like English (Shirai) and in determining which effects are input driven and which reflect universal constraints (Edwards et al.).
HOW SPECIAL IS LANGUAGE?
A discussion of frequency effects and the learning mechanisms that produce them raises the broader theoretical question: How special is language in comparison to other cognitive domains? The commentaries by Arnon, Diessel, and Ellis & Ogden link frequency effects in language acquisition to similar effects in the broader cognitive science literature, and point to domain-general learning mechanisms that could, in principle, explain frequency effects in acquisition. However, Yang proposes that frequency effects have been ignored in the past with “ample justification”, arguing that there is a more limited role for frequency effects in language acquisition than in other areas of learning. We disagree. Our main point is that there are genuine frequency effects across all levels of language that need to be incorporated into our theories of acquisition. Such effects go beyond the phenomena we specifically discussed; as Edwards et al., showed, our framework for discussing frequency effects is also useful in explaining early phonological development. We contend that an accurate categorization of these effects will lead us closer to a better understanding of the learning mechanisms that support acquisition.
However, this research effort will not be fruitful unless we are all clear on the role of frequency in acquisition and unless we all take into account the full range of data in doing so. The difference between Yang's and our own interpretation of the literature demonstrates that this is not necessarily a straightforward task. Contra Yang, we argue that the data for over-regularization errors show clear effects of surface frequency and neighbourhood density in preventing or producing error (see, amongst others, Albright & Hayes, Reference Albright and Hayes2003; Alegre & Gordon, Reference Alegre and Gordon1999; Ambridge, Reference Ambridge2010; Kidd & Lum, Reference Kidd and Lum2008; Maratsos, Reference Maratsos2000; Marchman, Reference Marchman1997; Marchman, Wulfeck & Ellis Weismer, Reference Marchman, Wulfeck and Ellis Weismer1999; Maslen, Theakston, Lieven & Tomasello, Reference Maslen, Theakston, Lieven and Tomasello2004; Matthews & Theakston, Reference Matthews and Theakston2006; Prasada & Pinker, Reference Prasada and Pinker1993). With respect to generalizations of irregular forms, Ambridge (Reference Ambridge2010) demonstrated that children show clear evidence of an ability to generalize irregular patterns (to novel forms), contra the claim that “[g]eneralizations of irregular forms are virtually absent in child English” (Yang). There is also ample evidence that children and adults store high-frequency phrases as chunks (Bannard & Matthews, Reference Bannard and Matthews2008) or partially abstract representations (e.g., Pine, Freudenthal, Krajewski & Gobet, Reference Pine, Freudenthal, Krajewski and Gobet2013), and that the errors they make with these expressions are best explained in terms of the frequency of the phrase and not the individual lexical items (e.g., Kirjavainen, Theakston & Lieven, Reference Kirjavainen, Theakston and Lieven2009; Kirjavainen, Theakston, Lieven & Tomasello, Reference Kirjavainen, Theakston and Lieven2009). In addition, stored lexical strings (e.g., gimme) are different from utterances where separate elements are combined (e.g., give you) on dimensions other than the frequency of their variable elements (i.e., me versus you); one signature feature is that they are typically phonologically reduced (Bybee, Reference Bybee2010). Insofar as the frequency of lexical strings predicts children's performance in experiments manipulating frequency while holding categorical rule application constant (Bannard & Matthews, Reference Bannard and Matthews2008), there is something to explain (see also Arnon). Finally, work by us and our colleagues has identified frequency effects in children's acquisition of sentences containing structure dependence (Ambridge, Rowland & Pine, Reference Ambridge, Rowland and Pine2008; see also Lewis & Elman, Reference Lewis and Elman2001; Reali & Christiansen, Reference Reali and Christiansen2005), and in the provision of optional infinitives (e.g., Freudenthal, Pine & Gobet, Reference Freudenthal, Pine and Gobet2010; Räsänen, Ambridge & Pine, Reference Räsänen, Ambridge and Pine2014). We contend that, far from proving inverse or anti-frequency effects, these data demonstrate that looking in the right place is an important first step in elucidating the power and limitations of learning in language acquisition.
The shadow of broader debates in cognitive science will always be with us, but we are obliged to reach some consensus when the evidence overwhelmingly points us in one direction. The evidence, which is corroborated by our commentators, is that frequency effects are real and pervasive in acquisition. The challenge for any theory of acquisition is to explain them. We hope that our target paper and the collection of commentaries serve to sharpen future research and theoretical development.
