Abstract

This paper presents a formal framework for synchronizing strata and datable artefacts in multi-layered sites. We first present a simple set of rules regarding the definition of safe termini post quem, taking into account cases of uncertain dating and/or uncertain stratigraphic attribution of the artifacts. We then propose a definition of chronologically optimal termini post quem, and a procedure to represent these optimal termini graphically by a step function in a two-dimensional graph. We also propose a definition of chronologically critical artifacts, as a minimal set of artifacts that determine all the optimal termini post quem of a stratigraphic sequence. Finally, we define a measure of the robustness of a terminus post quem, expressed in terms of the number of different artifacts supporting this terminus. We illustrate our approach through the case study of Egyptian scarabs from the site of Beth Shean (northern Israel), a well-known Bronze and Iron Age site that hosted an Egyptian garrison during the New Kingdom (ca. 1540–1070 B.C.E.). We also provide a software utility which assists users in applying our methodology.

Highlights

  • This paper proposes a formal framework for synchronizing strata and datable artifacts in multi-layered sites

  • The notion of unimodality refers to the assumption that only one such peak is attained for each type of artifact. This enables a reordering of the different contexts in such a way as to make the relative frequencies of each type appear as a bell-shaped curve, and to obtain a relative dating for these contexts

  • We propose a general discussion of the chronology of Beth Shean with regard to the TPQs derived from Egyptian scarabs (Section 6)

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Summary

Introduction

This paper proposes a formal framework for synchronizing strata and datable artifacts in multi-layered sites. It is based on the definition of safe termini post quem (TPQs) derived from stratified artifacts, their representation in a two-dimensional graph, and the characterization of their qualitative and quantitative value. Based on simple stratigraphic logic, to the best of our knowledge the notions presented in this paper have never been formalized within an integrated framework. We provide a software utility which assists users in applying our methodology

The terminus post quem rule
Statistical methods
Seriation techniques
Radiocarbon dating
Temporal logic
Outline of the paper We first introduce our case study
Case study
Conclusion
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