Cientistas desenvolvem uma correção estatastica para o problema de datação da arqueologia
A dataa§a£o por radiocarbono mede a decomposia§a£o do carbono-14 na matéria orga¢nica. Mas a quantidade de carbono-14 na atmosfera flutua com o tempo; não éuma linha de base constante.
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)
Friso em estuque de Placeres, Campeche. Peraodo cla¡ssico antigo (c. 250 - 600 DC). Joyce Kelly (2001), An Archaeological Guide to Central and Southern Mexico, p.105. Crédito: Wolfgang Sauber / Wikimedia Commons
Os arqueólogos hámuito tem problemas com encontros. A análise de radiocarbono normalmente usada para reconstruirmudanças demogra¡ficas humanas anteriores depende de um manãtodo facilmente distorcido por curvas de calibração de radiocarbono e incerteza de medição. E nunca houve uma correção estatastica que funcionasse - atéagora.
"Ninguanãm explorou sistematicamente o problema, ou mostrou como vocêpode lidar com isso estatisticamente", diz o arqueólogo Michael Price do Instituto de Santa Fanã, autor principal de um artigo no Journal of Archeological Science sobre um novo manãtodo que ele desenvolveu para resumir conjuntos de datas de radiocarbono . "a‰ realmente emocionante como esse trabalho foi realizado. Identificamos um problema fundamental e o corrigimos."
Nas últimas décadas, os arqueólogos tem recorrido cada vez mais a conjuntos de datas de radiocarbono para reconstruir o tamanho da população anterior por meio de uma abordagem chamada "datas como dados". A suposição ba¡sica éque o número de amostras de radiocarbono de um determinado período éproporcional ao tamanho da população da regia£o naquele momento. Os arqueólogos tradicionalmente usam "densidades de probabilidade somadas", ou SPDs, para resumir esses conjuntos de datas de radiocarbono. "Mas hámuitos problemas inerentes aos SPDs", diz Julie Hoggarth, arquea³loga da Baylor University e coautora do artigo.
A datação por radiocarbono mede a decomposição do carbono-14 na matéria orga¢nica. Mas a quantidade de carbono-14 na atmosfera flutua com o tempo; não éuma linha de base constante. Assim, os pesquisadores criam curvas de calibração de radiocarbono que mapeiam os valores de carbono-14 atéas datas. No entanto, um aºnico valor de carbono-14 pode corresponder a datas diferentes - um problema conhecido como "equifinalidade", que pode naturalmente distorcer as curvas SPD. "Esse tem sido um grande problema" e um obsta¡culo para as análises demogra¡ficas, diz Hoggarth. "Como vocêsabe que a mudança que estãovendo éuma mudança real no tamanho da população e não éuma mudança na forma da curva de calibração?"
Quando ela discutiu o problema com Price hávários anos, ele disse que também não era fa£ de SPDs. Ela perguntou o que os arqueólogos deveriam fazer em vez disso. Essencialmente, ele disse: "Bem, não hálternativa."
Essa constatação levou a uma busca de anos. Price desenvolveu uma abordagem para estimar populações pré-hista³ricas que usa o raciocanio Bayesiano e um modelo de probabilidade flexavel que permite aos pesquisadores superar o problema da equifinalidade. A abordagem também permite que eles combinem informações arqueola³gicas adicionais com análises de radiocarbono para obter uma estimativa populacional mais precisa. Ele e sua equipe aplicaram a abordagem a s datas de radiocarbono existentes na cidade maia de Tikal, que já tinha extensas pesquisas arqueola³gicas anteriores. “a‰ um caso de teste muito bomâ€, diz Hoggarth, um estudioso do Maya. Por um longo tempo, os arqueólogos debateram duas reconstruções demogra¡ficas: a população de Tikal aumentou no inicio do período cla¡ssico e depois se estabilizou, ou aumentou no final do período cla¡ssico. Quando a equipe aplicou o novo algoritmo Bayesiano, aumento populacional associado ao final do cla¡ssico ", diz ela," então essa foi uma confirmação realmente maravilhosa para nós. "
Os autores produziram um pacote de ca³digo aberto que implementa a nova abordagem, e links e ca³digos de sites estãoincluados em seu artigo. "A razãopela qual estou animado com isso", diz Price, "éque estãoapontando um erro que importa, consertando-o e estabelecendo as bases para trabalhos futuros."
Este artigo éapenas o primeiro passo. Em seguida, por meio da "fusão de dados", a equipe adicionara¡ DNA antigo e outros dados a datas de radiocarbono para reconstruções demogra¡ficas ainda mais confia¡veis. "Esse éo plano de longo prazo", diz Price. E poderia ajudar a resolver um segundo problema com as datas como abordagem de dados: um "problema de polarização" se e quando as datas de radiocarbono forem distorcidas em um determinado período de tempo, levando a análises imprecisas.
Mas isso éassunto para outro jornal.