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A Unified Evolutionary Model of Archaeological Style and Function Based on the Price Equation

Published online by Cambridge University Press:  20 January 2017

P. Jeffrey Brantingham
P. Jeffrey Brantingham*
Affiliation:
Department of Anthropology, University of California, Los Angeles, 341 Haines Hall, Los Angeles, CA 90095 ([email protected])
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Abstract

The style-function dichotomy lies at the heart of the evolutionary archaeology research program. It also is the source of much disagreement about how we should conceive of the processes of culture change. Evolutionary archaeologists tend to view archaeological attributes as either functional, if they respond to selection, or stylistic, if they do not. Others tend to see style and function as operating simultaneously. A resolution to this problem is proposed through development of a formal mathematical model of style- and function-based evolution using a hypothetical example of temporal patterns of ceramic decoration within a community of household-based potters. Simple replicator equations are proposed to describe the household-scale dynamics of change in the relative frequency of ceramic decoration. These low-level dynamics can be distinguished on the basis of whether or not change is correlated with some measure of performance, utility, or payoff. The replicator equations are then used to derive several versions of the Price Equation (Price 1970), a very general and powerful statement about total evolutionary change in any system. At this scale of analysis, total change is similarly partitioned into payoff-correlated (functional) and payoff-independent (stylistic) contributions and it is shown that these processes are likely to operate simultaneously. Tests of the model against simulated data show that it is possible to estimate with considerable accuracy the strength of functional and stylistic contributions to culture change under ideal conditions of site preservation. Further theoretical work is needed, however, to understand how diverse site formation and disturbance processes might impact application of the model in real archaeological settings.

Résumé

Résumé

La dicotomía entre estilo y función está en la base del programa de investigación de la arqueología evolucionista. También es el origen de mucho desacuerdo sobre cómo debemos imaginar los procesos de cambio cultural. Los arqueólogos evolucionistas clasifican los atributos arqueológicos como funcionales, si responden a selección, o estilísticos, si no lo hacen. Otros piensan que estilo y función opera al mismo tiempo. Se propone una resolución para este problema mediante el desarrollo de un modelo matemático de evolución basado en estilo y función, usando un ejemplo hipotético de patrones temporales de la decoración en la cerámica en una comunidad de ceramistas organizadas en unidades domésticas. Se proponen ecuaciones sencillas replicadoras para describir, en la escala de las unidades domésticas, las dinámicas de cambio en la frecuencia relativa de decoración de la cerámica. Puede distinguir entre estas dinámicas de bajo nivel si los cambios tienen correlación con realización, utilidad, o recompensa, o no. Se usa las ecuaciones replicador para obtener diferentes versiones de la Ecuación Price (Price 1970), una declaración general y fuerte sobre cambio evolutivo en un sistema. En esta escala de análisis, el cambio total está dividido en contribuciones funcionales (que tienen una correlación con recompensa) y contribuciones estilísticos (que no tienen correlación con recompensa), y se demuestra que estos procesos funcionan al mismo tiempo. Pruebas de este modelo usando datos simulados demuestran que es posible, con mucha precisión, estimar la importancia de contribuciones funciónales y contribuciónes estilísticas bajo de coediciones ideales de conservación de sitios arqueológicos. Sin embargo, necesitamos más investigaciones teóricas para comprender cómo los procesos diversos de la formación y alteración de sitios arqueológicos afectan la aplicación de este modelo en situaciones arqueológicas reales.

Type
Articles
Information
American Antiquity , Volume 72 , Issue 3 , July 2007 , pp. 395 - 416
Copyright
Copyright © The Society for American Archaeology 2007

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