TWO VIEWS OF DIFFUSI JAMES M. BLAUT ABSTRACT. The Hagerstrandian view of diffusion, now prevalent, is too narrow: narrow in its reliance on “information,” a weak and elusive variable, and narrow in its space-time scope. A broader view is exemplified by the work of cuitural geographers like Kniffen. There is a need for a dialectical exchange between the two kinds of theoreticians. Eventually, this should lead to a more useful theory. EFORE diffusion, a landscape is empty of B a given trait. After diffusion, the trait has suffused throughout the landscape. So diffusion of the newer models are offsprings of Hagerstrand’s classic Model 111, the reasoning behind them is still mainly Hagerstrand’s, and the cennarrowly conceived is merely a transition. Why tral problem Is still the kind of expansion difdeem it so important? fusion with which Hiigerserarid was concerned Associated with this narrow conception is a in his major work. We can with justice identify narrow theory. Diffusion is often said to be the enterprise as a whole with Hagerstrand’s explainable in terms of a single, simple variable: name. I will use the term, “Hagerstraridian difinformation. But diffusion is an incident of cul- fusion,” to indicate this problem and theory, ture change, and culture change is an exceed- and to distinguish it from another, larger, probingly complex process. Why oversimplify? lem and another kind of theory. So we may ask: Is diffusion research too narHagerstrand was clearly aware, as some row? Is it overly concerned with the ephemerae others are not, that spatial form is the result of adoption? Is it simplistic? Should we not of cultural process. In attempting LO explain embrace a broader view: a conception of dif- the evolving form of a diffusion, he adopted a fusion as the general process which includes the customary theoretician’s strategy of isolating a infusion and suffusion of traits in some regions single component in the underlying process, a and their nondiffusion in others? Perhaps the variable which possesses two characteristics: one view is merely a part of the other. If so, it appears to be important-that is, high in exthen spatial models of expansion diffusion planatory power; and it is amenable to matheshould be grounded in the same body of theory matical expression. The component he chose as general models of geographic (and culture) was information, or, more properly, the comchange. But they are not, and-mainly for this munication of information about an innovation. reason-the narrow view has not been very Thus he arrived at the following axiom (the helpful. phrasing is Allan Pred’s) : 2 The term, “spatial diffusion theory,” has Geographic expressions of human behavior . . . come to be associated with a fairly specific must be viewed in terms of the information available to the individual decision-maker . . and enterprise: the attempt to explain the spatial thereby analyzed in terms of the “social network’ spread of an innovative trait in a region, usually of interpersonal communications through which the with the help of mathematical models. The information circulates. problem is thus diffusion in the narrow, or transitional, sense. The models are rather like two- In Hagerstrand’s theory, therefore, the motive dimensional adoption curves, some probabilis- power for diffusionlies in the spread of informatic, others deterministic. The earliest models and tion; other cultural variables are relegated to the the basic arguments were introduced more than status of resistance factors, or barriers, and for twenty years ago by Torsten Hagerstrand.l Most the most part they are considered to be randomly distributed and rather unimportant. Dr. Blaut is Professor of Geography at the Univer- Hagerstrand was justified in using this axiom ~ sity of lllinois at Chicago Circle in Chicago, IL 60680. 1 Torsten Hagerstrand, Znnovation Diffusion as a Spatial Process (Chicago: University of Chicago Press, 1967), translated and with a postscript by Allan Pred. (Originally published in 1953.) 2 Hagerstrand, op. cit., footnote 1, p. 300. ANNALS OF THE ASSOCIATION OF AMERICAN GEOGRAPHERS Vol. 67, No. 3, September 1977 @ 1977 by the Associehon of American Geographers. Printed in U.S.A. 343 344 JAMES M. BLAUT September fact, given a space of its own-and is divided into explicit taxonomic units which diffuse separately. Secondly, we are committed to a disturbingly elitist theory concerning the causal efficacy of knowledge-more precisely, of cognitive learning-as against the role of such other cultural elements as values, social structure, and economic conditions. I am suggesting that a diffusion model which isolates information (in a sense, knowledge) as an independent, universal variable is not a simulation of the real world of geographic change; it is a simulation of a particular psychological (and psychologistic) model of the world, a model which is also highly ethnocentric. Let me illustrate: 1) In a Hagerstrandian diffusion process, a discrete bit of information-that which relates to the innovative trait-is flowing in some manner across a landscape. What makes this bit of information a meaningful message? We have to postulate an underlying psychological landscape, a uniform cognitive region. It would be absurd to imagine that the cognitive region was built up by wave after wave of prior diffusion, each wave consisting of a discrete bit of information. If this were realistic, then cognitive structures would in fact be structureless: minds simply would be heaps of disjointed bits of knowledge, like apples in a basket. The acquisition of knowledge would then have little to do with social organization: information would come from nearest neighbors, not from fathers, mothers, and schools. It seems, therefore, that Hagerstrandian diffusion processes are secondary and contingent events; that most knowledge diffuses by other means. They cannot lie at the core of a fully formed theory of the diffusion of knowledge, much less the diffusion of material 3 L. A. Brown, “Diffusion of Innovation: A MacroView,” Economic Development and Cultural Change, things. Vol. 17 (1969), pp. 189-211; Allan Pred, in Hager2) In a Hagerstrandian diffusion process, strand, op. cit., footnote 1, pp. 309-10; John C. Hudson, “Some Properties of Basic Classes of Spatial- knowledge plays a basic causal role. For HagerDiffusion Models,” in Harold McConnell and David strand‘s investigations it was “the most imporYaseen, eds., Perspectives in Geography, I: Models tant driving force behind the innovation diff uof Spatial Variation (DeKalb, Illinois: Northern Illisions under study.”4 Again we must ask how nois University Press, 1971 ), pp. 47-48; Torsten Hagerstrand, “What About People in Regional Sci- widely the principle applies. In psychological ence?’ Papers of the Regional Science Association, theory, cognitive models rarely are divorced Vol. 21 (1970), pp. 7-21. In 1971, Brown and Cox from overt behavior; learning is closely related could assert that “all theories of innovation diffusion stress the role of communication defined narrowly in to concrete experience. In anthropological terms of the passage of information,” and this state- theory, personality variables are rather generally ment would still be correct (for theories in the Hager- considered to be dependent on structural varistrand tradition). L. A. Brown and Kevin Cox, “Empirical Regularities in the, Diffusion of Innovation,” ables, social, economic, ecological, and so on. If for the problem at hand: he was working (in the rural heartland of Sweden) with a culturally uniform space, with a population of potential adopters who possessed quite generally the technical and economic means for adoption, and with a set of innovations which had demonstrable utility. Information was, in essence, the only missing variable, the only element needed to set the diffusion process in motion. In fact, Hagerstrand was dealing with something approaching the classical Extension Service problem as one encounters it throughout the rural West. This, immediately, should give us pause. Extension services have had little success in the non-Western world, and they had nothing to do with two million years of prior diffusion. Diffusion theorists in the Hagerstrand tradition still hold tenaciously to the information axiom in spite of cautions expressed by Brown, Pred, Hudson, and others, and implicitly by Hagerstrand himself (who writes eloquently of the need to consider man as a complex culturebearer) . 3 Cautions are not enough. Serious difficulties arise whenever efforts are made to generalize the information-based Hagerstrand theory, or to apply it in realms and epochs which are culturally distant from the modem Western world. These difficulties stem from the kinds of implicit theories which we must adopt when we try to isolate the category “information” and treat it as an independent variable for a general (hence cross-cultural) theory. We are committed, first of all, to an archaic, in fact Platonic, theory of knowledge, according to which knowledge is separated from the material world-in Annals, Association of American Geographers, Vol. 61 (1971), p. 557. 4 Hagerstrand, op. cit., footnote I, p. 1G1. 1977 VIEWSOF DIFFUSION knowledge is ordinarily a minor or dependent variable in culture change, this form of causal theory cannot be very widely generalized. 3 ) Diffusion models which are grounded in the assumption that the spread of knowledge is a basic operating variable are, paradoxically enough, somewhat anti-intellectual. The precondition for learning is ignorance. One assumes that ignorance is the obstacle to adoption-that is, to culture change. One assumes, as well, that change must come from a teaching (or telling) activity. All of this is in effect a denial that ordinary humans are intelligent enough to seek, demand, and acquire the needed knowledge when the other conditions for adoption are already present. Thus it is not surprising to find that information-based diffusion theory, in application, rather consistently identifies successful diffusion with exceptional individuals (“change agents,” “progressive farmers,” and “cosmopolites”), and with information-disseminating institutions.5 Nor is it surprising to find that this kind of diffusion research in nonWestern areas is closely identified with an ideology of development which emphasizes technical assistance rather than control of resources.6When peasant farmers do not innovate, however, it is not because they are afflicted with technological ignorance, or with a traditional 5 Terms like these, along with their antonyms (e.g., “laggards,” “localites,” and “passive adopters”) derive mostly from the folklore of the North American agricultural extension movement and its disciplinary offspring, rural sociology. Many such terms, along with the elitist social theory lying behind them, seem to have entered geography through the immensely influential writing of the rural sociologist Everett M. Rogers. See Everett M. Rogers and F. F. Shoemaker, Communication of Innovations (New York: Free Press, 1971). 6This ideology is most explicit in the writings of rural sociologists who, for obvious historical reasons, are more often involved in rural development work than are geographers. However, the ideology is apparent in the work of such geographers as Gould, Riddell, and Lentnek. See in particular J. Barry Riddell, The Spatial Dynamics of Modernization in Sierra Leone: Structure, Diffusion, and Response (Evanston, 111.: Northwestern University Press, 1970); also see Peter Gould, “Tanzania 1920-1963: The Spatial Impress of the Modernization Process,” World Politics, Vol. 22 (1970), pp. 149-70, and Barry Lentnek, “Latin American Peasantry in Transition to Modern Farming,” Proceedings of the Conference of Latin Americanist Geographers, Vol. 1 (1970), p. 163: “The focus in any study of the peasant from a developmental standpoint is upon the role of ‘outside’ contacts of local society.” 345 mentality. Most often it is because they cannot afford to do SO.^ There are two sets of cultural circumstances, often conjoined, in which information-based diffusion models are likely to prove powerful and in which their simplifying assumptions are in accord with culture theory and with the real world. They may be important, first, in a cultural system which defines the flow of information as an important cultural process which institutionalizes the spread of new knowledge as a mechanism for pattern-maintenance or purposive culture change. Second, such models c!early wi!l be important under those conditions where pressure for change is already present and all the requisite factors have been mobilized, save one: the factor of information. The most important fact about innovation diffusion in the non-Western world is its rarity. By this I mean that nondiffusion is very much more common than diffusion in the case of all those productive traits which we associate with what is called “development.” As development is rare, so is diffusion. The second most important fact is that diffusion, when it occurs, does not tend toward the form predicted in Hagerstrandian diffusion models. Again let me illustrate: 1 ) When new technology is rejected, the explanation has little to do with lack of information, and with those putative barriers to information flow which are often postulated by development theorists-lack of “achievement motivation,” lack of “creativity,” “limited wants,” and adherence to “tradition.”s Consider the case of Chinese market-gardeners in Singa7 See, in this connection, Keith Griffin, The Political Economy of Agragian Change: A n Essay on the Green Revolution (Cambridge: Harvard University Press, 1974) and A. G. Frank, Sociology of Development and Underdevelopment of Sociology (London: Pluto Press, 1971). An example of empirical research demonstrating the relatively limited significance of information-related variables is Ronald D. Garst’s “Innovation Diffusion Among the Gusii of Kenya,” Economic Geography, Vol. 50 (1974), pp. 300-12. David C. McClelland and D. G. Winter, Motivating Economic Achievement (New York: Free Press, 1969); Everett Hagen, On the Theory of Social Change (Homewood: Dorsey Press, 1962); and George M. Foster, “Peasant Society and the Image of the Limited Good,” American Anthropologist, Vol. 67 (1965), pp. 293-315. For a critique, see Frank, op. cit., footnote 7. * 346 JAMES M. BLAUT pore who were urged to adopt artificial fertilizers in place of the traditional, and very costly, organics. They refused to do so on grounds that artificials do not maintain soil structure, perhaps the key pedological factor in this farming system. They possessed more, or better, information than the agricultural officer^.^ Consider also the case of tobacco farmers in Puerto Rico who, for two generations, have refused the urgent advice of U.S. Department of Agriculture experts to adopt contour drainage and abandon a favored soil conservation system involving diagonal, criss-cross drains. The farmers correctly point out that contour drainage leads to land slips; in respect to subsoil processes such as solifluction, the farmers’ ethnopedology is clearly superior to official (and alien) ethnopedology. The farmers are aware (as the experts perhaps are not) of the technological advantages of sealed contour drains, but they are aware also that the cost is prohibitive. I think we can generalize as follows: technological innovations tend to be rejected, not through ignorance, but through incompatibility with the existing cultural system as a whole. The system often is oppressive, exploitative, and bitterly disliked. Farmers will suggest other remedies, less likely to diffuse in the Hagerstrandian manner, but more likely to work. 2) New technology at times is adopted so readily, and spreads so rapidly, that the process can best be described as “instant innovation.” Certainly this was the case with the postColumbian diffusion of New World crops, notably tobacco, and with many of the technological transfers between China and the West. It can on occasion be observed in modern peasant agriculture. In the Guayana region of southeastern Venezuela, where cassava (Manihot utilissima) is the staple crop and cassavabread is the staple food, farmers traditionally prepared the bread with an almost pre-Columbian technology of graters, presses, and griddles. This is a commercialized farming system, and much of the cassava was until recently sent in unprocessed form to urban bakeries. There, the bread was prepared by means of a postindustrial technological complex involving a gasoline engine, an iron grating mill, elaborate ovens, 9 J. M. Blaut, “Chinese Market Gardening in Singapore: A Study in Functional Microgeography,” unpublished doctoral dissertation, Louisiana State University, 1958, p. 314. September and a large wooden press, the whole forming a material-culture complex with a distinctive name, el motor (after its most distinctive element). Today, nearly every farm within reasonable access of urban markets has acquired el motor for itself, in spite of the high capital cost and exotic technology. The diffusion has occurred over several thousand square miles in a single generation. The explanation is to be found in the rapid growth of Ciudad Guayana as a market for food and a source of off-farm employment. Farms in the area were not landlord-ridden, hence windfall income could and did lead to capital accumulation, and capital accumulation led to technological change and thence to more income and more change. An immense amount of new technological knowledge was somehow acquired, without official help, and in a very short period of time. Initial ignorance proved not to be a barrier.1° In general: when the socio-economic conditions for adopting a new innovation have been fulfilled, the needed information will be sought. No doubt the flow of information about el motor in rural Guayana can be modeled in the Hagerstrandian manner, but such an enterprise would throw very little light on the diffusion of the traitcomplex itself. Most of the recorded instances in which new technology has diffused among Third World farmers in some measurable relation to the spread of information can be assigned to either of two cases, both of which support my argument. In the first and more common case, the new technology has diffused in peasant space, but not in peasant culture. The information fields are lattices among wealthy farms, and between wealthy farmers and government agencies, marketing and supply firms, and the like. This is really a reproduction of the Hagerstrandian diffusion process as it occurs in developed areas. In the second case, one finds a simple methodological error. The diffusion of an innovation is recorded, the correlative existence of information-fields is modeled, and the latter is assumed, erroneously and without evidence, to account for the former. Invariably, however, there are other variables, also with correlative distance-decay functions, and the choice of information as the operant variable 1oData are from my unpublished reports to the Venezuelan Government (Corporaci6n Venezolana de Guayana), 1963-65. 1977 VIEWSOF DIFFUSION is a matter of theoretical bias, not empirical discovery. In both of these cases, diffusion has occurred primarily in the elite sector, not among ordinary peasants. In peasant agriculture as a whole, there has been virtually no important and useful technological change in recent times. Were it otherwise, the underdeveloped world would be developing. We can return now to our first question: Why is it important to model the space-time spread of an innovation in a region? It is indeed important-if the models have explanatory power and if they throw some light on the forces of culture change, but there are many problems. Let me illustrate once again: 1) We do not yet have a really satisfactory theory of cultural causation, hence we have no basic process to simulate in a model. Assuming that the simulation of culture as a discrete set of variables is possible, which of these variables shall we choose as operators? Which shall we neglect? Cognition, or knowledge, is an interesting variable where private and public information flow is the mechanism for generating a specific, prefigured form of culture change. This, however, is a moderately rare event. It is peculiarly characteristic of the postindustrial Western world (if we exclude the poor, the ghettodwellers, the migrant laborers, and the peasants of Calabria). When we try to fit our information-based models to data from the non-Western or preindustrial world, we are saying, in effect, “that which works here works everywhere.” Our models thus become lenses through which we focus our ethnocentric biases.ll Does this indictment extend to all other candidate-variables? Thus far, I would say, it does. As to the future, I do not know. 2) Simply defining our variables is yet another problem. I doubt whether we can uncover an operational definition of “information” outside of the culturally specific institutions and forms of communication in which it is embedded. The problem arises with every dimension of culture. I am something of an economic determinist, and I suspect that more can be explained with the economic variable than any other. But what is this variable? In practice, it dissolves into questions of class, power, tenure, material resources, and the like-each a 11J. M. Blaut, “Geographic Models of Imperialism,” Antipode, Vol. 2, No. 1 (1970), pp. 65-85. 347 complex variable in itself. Perhaps one can explain the processes of diffusion (and, more crucially, nondiffusion) in the peasant world in terms of economic relations, but no way has been found as yet to simulate these relations for a peasant economy. The choice of variables need not be ethnocentric, and one can always try to work with extracultural analogs (epidemiology, wave mechanics, and the like) and with general systems models. In principle we can model the spread of any diffusion, and the question will be, how far can a given model be generalized? How much of the real world does it interpret, and how well? There is a more fundamental problem concerning the relationship between an explanation of the spatial form of diffusion and an explanation of diffusion itself. We asked at the outset whether the former is a subcomponent of the latter. If so, then any theoretical success with spatial models should be a sign%cant step toward a general theory of diffusion. But there is good reason to doubt whether an explanation of the evolving form of diffusion within a region is important in explaining why diffusion takes place at all. When we say that culture is organized as a system, we imply that culture change involves a structural change throughout the system. Structural change is not strictly instantaneous, so we can describe and model the evolving process even in complex structures (as is done, for instance, in models of hierarchical diffusion). But structural change may be theoretically instantaneous, because for any given level and unit of structure, the structural entity may be broken as a spatial whole and quickly or slowly reformed. There is a fundamental differ-. ence between the kind of theory which accounts for the shattering or crumbling of a cultural structure and the kind which traces, as it were, the spreading fractures and the dispersing fragments. In Hagerstrand’s landscape, the structural units were individual, microgeographic, entrepreneurial decision-makers. A theory of structural change for this granular region can be said to coincide with a theory of spatial diffusion within the region. This is a rare situation in cross-cultural terms; the pure case would be a sort of Adam Smithian landscape, one totally without macrostructure. Contrast this with the condition of peasants (or, for that matter, ghetto-dwellers ) , whose decision-making power 348 JAMES M. BLAUT is limited by a general exploitative structure at the macrogeographic level. The cases which I have cited of diffusion and nondiffusion in peasant culture involved an all-or-none process in space: instant innovation or no innovation at all. This is perhaps the characteristic situation where diffusion must be triggered by macrostructural change. A diffusion theory which accounts for the structural change would explain such cases fairly well, and would in principle explain most cases where diffusion either does not occur in a region or proceeds at an extremely rapid rate. Such a theory would help us to understand the dynamics of underdevelopment in the modern world, and the cases of rapid diffusion and nondiffusion which occurred-were perhaps characteristic of-the ancient world. It might even help to resolve some thorny questions of locational origin, since instant innovation (explosively rapid diffusion) would be, operationally, very close to independent invention. Is it not indeed possible that the Old World agricultural revolution took place everywhere almost at once? Geography, it seems, is always a step behind its sister sciences. Our search for hard and formal theory began at a time when theorybuilding elsewhere was beginning to soften. Systems models were replacing univariate laws. Logical positivism was melting into ordinary language; philosophy of science was beginning to realize at last that a theory, as product, is very different from theory-building, as a process; that the steps of reasoning within a theoretical structure do not correspond to the steps by which, historically, a theory is attained.12 This last discovery has an important implication. Theory-building does not usually begin with a statement of axioms, but with a much more modest and difficult endeavor: the uncovering of empirical regularities, the isolation of variables, the definition of a qualitative system, and thus, in Kniffen’s words, the establishment of “concepts, terms, and usable quantities.”13 This endeavor still is thought of by 12N. R. Hanson, Patterns of Discovery (Cambridge, England: Cambridge University Press, 1958) ; and Thomas Kuhn, The Structure of Scientific Revolutions (Chicago: University of Chicago Press, 1962). 13Fred B. Kniffen, “Folk Housing: Key to Diffusion,” Annals, Association of American Geographers, Vol. 55 (1965), p. 577. September many geographers as pretheoretical, but the construction of models is pretheoretical in a different (and no less meaningful) sense if the models are built before the minimally necessary “concepts, terms, and usable quantities” have been established. If the one is dismissed as “mere description,” the other must be dismissed as “empty formalism.” What we seem to need is a constant dialectical exchange between the two kinds of theoreticians, the patient conceptualizers and the impatient formalizers. Eventually, this should lead to synthesis and useful theory. The need for such an exchange is peculiarly apparent in diffusion theory. Formal (“spatial”) diffusion models are weak because their concepts are not very clear, their assumptions about underlying cultural process are rather shallow, and their breadth of scope is limited, in general, to the transitional phase of diffusion in a specific region. The kind of diffusion theory one finds in contemporary cultural geography, by contrast, does not display these weaknesses. But it remains unformalized. Can the strengths of both be combined? Conceptual diffusion theory owes as much to the work of Fred B. Kniffen as formal theory does to that of Hagerstrand. I need not summarize Kniffen’s work for American geographers, and I need not remind them of its i m ~ 0 r t a n c e . It l ~ is useful to call attention here to certain general principles which emerge from Kniffen’s work and which bear on the issues raised in this paper: the need, in diffusion theory, for clarity, depth, and breadth. Clarity is in part a question of sharpness in the definition of variables. Definition is peculiarly sharp if a diffusing culture trait is easily identified and located, if it occurs in clearly distinguishable units, and if each occurrence is relatively permanent, or positionally stable. This is one reason why Kniffen urges attention to material settlement forms, like dwellings, bridges, and fairs. But he is also concerned with traits of nonmaterial culture (for instance, spoken language) if trait definition is conceptually and operationally sharp.15 Clarity is also, 14See H. J. Walker and William Haag, eds., Man and Cultural Heritage: Essays in Honor of Fred B . Kniffen (Baton Rouge: Louisiana State University School of Geosciences, 1974). 15Thus Hartshorne quite missed the point of Kniffen’s theoretical approach when he accused him of 1977 VIEWSOF DIFFUSION in part, a question of sharpness in the recognition of types or categories. Formal theory tends to rely on diffusing traits for which a simple presence-or-absence judgment will suffice. Most diffusion, however, does not involve the addition of new, emergent traits or variables, like television sets and telephones, but rather the transformation of existing traits (for example, the replacement of one kinship system, or one folk-housing form, or one staple crop, by another). These transformations cannot be modeled until the problem of distinguishing the different taxonomic forms of a trait has been resolved; and for this problem, Kniffen’s work supplies a methodological paradigm. The lack of depth in formal diffusion theory is due, as I argue, to the lack of a powerful theory of the underlying process, a theory of the forces which propel diffusion. We cannot simulate a process if our conception of the process itself is unrealistic. Simplification, under these conditions, is merely caricature. For Kniffen, diffusion is explained and predicted from the theory of culture; hence culture as a complex whole, not one or a few of its elements, becomes the axiom-set for diffusion theory. Of course, the effect of culture on diffusion is far from uniform (though far from capricious), and, since we do not have as yet a general theory for predicting this effect, we have no general basis for predicting diffusion. With Kniffen’s approach we at least have a dependable foundation, and we can build upon it. Lastly, we come to the question of breadth, the central concern of this paper. Formal theory, as we saw at the outset, emphasizes diffusion in a narrow sense: the spread of adoption within a definite region. The process begins when the trait appears in the region, and not before. It ends, ordinarily, at the regional boundaries. In the case of Hagerstrandian diffusion processes, the boundaries are the outer limits of information-flow and thus cannot be being overly concerned with material culture. See Richard Hartshorne, The Nature of Geography (Lancaster, Penna.: Association of American Geographers, 1939), pp. 228-34. 3 49 breached. Diffusion as a general phenomenon is much larger in space-time breadth, and so must be diffusion theory. In terms of historical span, we wish to understand the manner in which a trait first enters a region, and this demands analysis of the relevant cultural forces, many of which operate prior to the moment of initial adoption. In terms of geographic scale, we wish to understand the way a trait behaves in an entire system of regions. For these larger questions, a model of the intraregional transition may be of little help. It often will be useful, in fact, to model each single transition as an instantaneous event, and model the overall process as a boundary-jumping or barriernetwork problem in a cellular system of uniform regions.16 Here, Kniff en’s approach again provides a firm foundation. For one thing, it is unrestricted as to historical or geographic scope. For another, it is grounded in the concept of culture areas-formally uniform cultural regions assembled into hierarchies of regions, extending from the microgeographic level to the level of Culture Worlds. Change within a given culture area is a major research concern for Kniffen, but there is no a priori preference for studying one or another pattern of change: whether a region undergoes a Hagerstrandian diffusion process or a spatially uniform transition, rapid or slow, will affect the form of the explanation, but not the nature of the problem. Change throughout a system of culture areas (and ultimately throughout the world as a whole) is of equal or greater concern in Kniffen’s approach, regardless of whether the change involves a structural transformation in existing culture areas or a shift in their boundaries. Hence the scope of diffusion theory in the Kniff en tradition is diffusion in its broadest, most adequate sense. If formal models do not yet exist for this large and complex process, the basic conceptual theory is nonetheless in hand. 16 Peter Haggett and Richard Chorley, Network Analysis in Geography (London: Edward Arnold, 1969), pp. 227-57.
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