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1 - Probabilistic Modelling in Ancient History

Published online by Cambridge University Press:  18 November 2022

Myles Lavan
Affiliation:
University of St Andrews, Scotland
Daniel Jew
Affiliation:
National University of Singapore
Bart Danon
Affiliation:
Rijksuniversiteit Groningen, The Netherlands
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Summary

This chapter introduces the concepts and methods used by the other chapters in the volume, using the long-standing problem of estimating the land carrying capacity of classical Attica to illustrate the benefits of probabilistic modelling. We begin by surveying the development of techniques for managing uncertainty in ancient history (1.1) and past work on the specific problem of Attica’s land carrying capacity (1.2). The chapter then turns to theoretical questions about the nature of uncertainty and probability (1.3), introducing the ‘subjectivist’ conception of probability as degree of belief, a theoretical framework that makes probability a powerful tool for historians. We go on to discuss the procedure of using probability distributions to represent uncertainty about the actual value of a quantity such as average barley yield in ancient Attica (among other variables relevant to the problem of land carrying capacity) (1.4), the need to be aware of cognitive biases that distort our probability judgements (1.5), the use of Monte Carlo simulation to combine uncertainties (1.6), the potential problem of epistemic interdependence (1.7), the interpretation of the outputs of a Monte Carlo simulation (1.8), and the use of sensitivity analysis to identify the most important sources of uncertainty in a simulation. The appendix illustrates model code in R.

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The Uncertain Past
Probability in Ancient History
, pp. 1 - 50
Publisher: Cambridge University Press
Print publication year: 2022

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References

Abernethy, V. D. (2001). Carrying Capacity: The Tradition and Policy Implications of Limits. Ethics in Science and Environmental Politics, 1, 918.CrossRefGoogle Scholar
Akrigg, B. (2019). Population and Economy in Classical Athens. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Allan, W. (1965). The African Husbandman. Edinburgh and London: Oliver & Boyd.Google Scholar
Alpert, M. and Raiffa, H. (1982). A Progress Report on the Training of Probability Assessors. In Kahneman, D., Slovic, P. and Tversky, A. (eds.), Judgment Under Uncertainty: Heuristics and Biases. Cambridge: Cambridge University Press, 294305.CrossRefGoogle Scholar
Aven, T. (2012). Foundations of Risk Analysis, 2nd edn. Chichester: Wiley.CrossRefGoogle Scholar
Baxter, M. J. and Cool, H. E. M. (2016). Reinventing the Wheel? Modelling Temporal Uncertainty with Applications to Brooch Distributions in Roman Britain. Journal of Archaeological Science, 66, 1207.Google Scholar
Bedford, T. and Cooke, R. (2001). Probabilistic Risk Analysis: Foundations and Methods. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Beloch, J. (1886). Die Bevölkerung der griechisch-römischen Welt. Leipzig: Duncker & Humblot.Google Scholar
Beven, K. (2009). Environmental Modelling: An Uncertain Future? London: Routledge.Google Scholar
Bissa, E. M. A. (2009). Governmental Intervention in Foreign Trade in Archaic and Classical Greece. Leiden and Boston: Brill.CrossRefGoogle Scholar
Buck, C. E., Cavanagh, W. G. and Litton, C. (1996). Bayesian Approach to Interpreting Archaeological Data. Chichester: Wiley.Google Scholar
Buck, C. E. and Meson, B. (2015). On Being a Good Bayesian. World Archaeology, 47(4), 56784.Google Scholar
Carlson, D. J. (1983). Computer Analysis of Dated Ceramics: Estimating Dates and Occupational Ranges. Southeastern Archaeology, 2(1), 820.Google Scholar
Cheng, K., Fu, Q., Cui, S., et al. (2017). Evaluation of the Land Carrying Capacity of Major Grain-producing Areas and the Identification of Risk Factors. Natural Hazards, 86(1), 26380.CrossRefGoogle Scholar
Crema, E. R. (2012). Modelling Temporal Uncertainty in Archaeological Analysis. Journal of Archaeological Method and Theory, 19, 44061.Google Scholar
Danon, B. (2021). Wealth, Rank and Officeholding in Roman Italy: A Quantitative Study. Unpublished PhD thesis, University of St Andrews.Google Scholar
De Finetti, B. (1974). Theory of Probability: A Critical Introductory Treatment. London and New York: Wiley.Google Scholar
DeGroot, M. H. and Schervish, M. J. (2012). Probability and Statistics, 4th edn. Boston: Addison-Wesley.Google Scholar
Edwards, W., Miles, R. F. Jr. and von Winterfeldt, D. (2007). Advances in Decision Analysis: From Foundations to Applications. Cambridge and New York: Cambridge University Press.Google Scholar
Feng, Z., Zhang, W. and Yang, Y. (2009). China’s Land Carrying Capacity Based on Man-grain Relationships. Chinese Journal of Population Resources and Environment, 7(4), 518.CrossRefGoogle Scholar
Fentress, E., Hitchner, R. B. and Perkins, P. (2004). Accounting for ARS: Fineware and Sites in Sicily and Africa. In Alcock, S. E. and Cherry, J. F. (eds.), Side-by-side Survey: Comparing Regional Studies in the Mediterranean World. Oxford: Oxbow, 14762.Google Scholar
Fentress, E. and Perkins, P. (1988). Counting African Red Slip Ware. In Mastino, A. (ed.), L'Africa Romana: Atti del V Convegno di studio Sassari, 11–13 dicembre 1987, Sassari, Dipartimento di Storia Università degli Studi di Sassari. Sassari: Edizioni Gallizzi, 20514.Google Scholar
Garnsey, P. (1988). Famine and Food Supply in the Graeco-Roman World: Responses to Risk and Crisis. Cambridge: Cambridge University Press.Google Scholar
Garnsey, P. (1998). Cities, Peasants and Food in Classical Antiquity: Essays in Social and Economic History. Cambridge: Cambridge University Press.Google Scholar
Garthwaite, P. H., Kadane, J. B. and O’Hagan, A. (2005). Statistical Methods for Eliciting Probability Distributions. Journal of the American Statistical Association, 100(470), 680700.CrossRefGoogle Scholar
Hansen, M. H. (1999). The Athenian Democracy in the Age of Demosthenes: Structure, Principles and Ideology, 2nd edn. Translated by J. A. Crook. London: Bristol Classical Press.Google Scholar
Hopkins, K. (1978). Conquerors and Slaves. Cambridge: Cambridge University Press.Google Scholar
Hopkins, K. (1980). Taxes and Trade in the Roman Empire (200 B.C.–A.D. 400). Journal of Roman Studies, 70, 10125.CrossRefGoogle Scholar
Hopkins, K. (1983). Death and Renewal. Cambridge: Cambridge University Press.Google Scholar
Hopkins, K. (1995). Rome, Taxes, Rents and Trade. Kodai: Journal of Ancient History, 6(7), 4175. [Reprinted in W. Scheidel and S. von Reden (eds.), The Ancient Economy. Edinburgh: Edinburgh University Press, 190–230.]Google Scholar
Howson, C. and Urbach, P. (1993). Scientific Reasoning: The Bayesian Approach, 3rd edn. Chicago and La Salle: Open Court.Google Scholar
Huber, F. (2016). Formal Representations of Belief. In Zalt, E. N. (ed.), The Stanford Encyclopedia of Philosophy, Spring 2016 edn. https://plato.stanford.edu/archives/spr2016/entries/formal-belief/Google Scholar
Jew, D. (Forthcoming). The Probable Past: Agriculture and Carrying Capacity in Ancient Greece.Google Scholar
Kaplan, S. (1993). Formalisms for Handling Phenomenological Uncertainties: The Concepts of Probability, Frequency, Variability, and Probability of Frequency. Nuclear Technology, 102(1), 13742.CrossRefGoogle Scholar
Lavan, M. (2016). The Spread of Roman Citizenship, 14–212 CE: Quantification in the Face of High Uncertainty. Past & Present, 230(1), 346.Google Scholar
Lavan, M. (2019a). The Army and the Spread of Roman Citizenship. Journal of Roman Studies, 109, 2769.Google Scholar
Lavan, M. (2019b). Epistemic Uncertainty, Subjective Probability, and Ancient History. Journal of Interdisciplinary History, 50(1), 91111.CrossRefGoogle Scholar
Lindley, D. V. (2006). Understanding Uncertainty. Hoboken: Wiley.Google Scholar
Millett, M. (1991). Pottery: Population or Supply Patterns? The Ager Tarraconensis Approach. In Barker, G. W. W. and Lloyd, J. (eds.), Roman Landscapes: Archaeological Survey in the Mediterranean Region. London: British School at Rome, 1826.Google Scholar
Moreno, A. (2007). Feeding the Democracy: The Athenian Grain Supply in the Fifth and Fourth Centuries BC. Oxford: Oxford University Press.CrossRefGoogle Scholar
Morgan, M. G. and Henrion, M. (1990). Uncertainty: A Guide to Dealing with Uncertainty in Quantitative Risk and Policy Analysis. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Morris, I. (1994). Review Article: The Athenian Economy Twenty Years After ‘The Ancient Economy’. Classical Philology, 89(4), 35166.Google Scholar
O’Hagan, A., Buck, C. E., Daneshkah, A., et al. (2006). Uncertain Judgements: Eliciting Experts’ Probabilities. Chichester: Wiley.Google Scholar
O’Hagan, A. and Oakley, J. E. (2004). Probability Is Perfect, but We Can’t Elicit It Perfectly. Reliability Engineering & System Safety, 85, 23948.Google Scholar
Okasha, S. (2002). Review of Philosophical Theories of Probability by Donald Gillies. British Journal for the Philosophy of Science, 53, 1516.CrossRefGoogle Scholar
Osborne, R. (1987). Classical Landscape with Figures: The Ancient Greek City and Its Countryside. London: George Philip.Google Scholar
Roberts, J. M., Mills, B. J., Clark, J. J., et al. (2012). A Method for Chronological Apportioning of Ceramic Assemblages. Journal of Archaeological Science, 39(5), 151320.CrossRefGoogle Scholar
Ruggles, S. and Magnuson, D. L. (2020). The History of Quantification in History: The JIH as a Case Study. Journal of Interdisciplinary History, 50(3), 36381.Google Scholar
Sallares, R. (1991). The Ecology of the Ancient Greek World. Ithaca, NY: Cornell University Press.Google Scholar
Scheidel, W. (2001). Progress and Problems in Roman Demography. In Scheidel, W. (ed.), Debating Roman Demography, Mnemosyne Supplements 211. Leiden: Brill, 181.Google Scholar
Scheidel, W. and Friesen, S. J. (2009). The Size of the Economy and the Distribution of Income in the Roman Empire. Journal of Roman Studies, 99, 6191.Google Scholar
Spiegelhalter, D. (2011). Quantifying Uncertainty. In Skinns, L., Scott, M. and Cox, T. (eds.), Risk (Darwin College Lectures). Cambridge: Cambridge University Press, 1733.Google Scholar
Starr, C. G. (1977). The Economic and Social Growth of Early Greece, 800–500 BC. New York: Oxford University Press.Google Scholar
Tversky, A. and Kahneman, D. (1974). Judgment under Uncertainty: Heuristics and Biases. Science, 185(4157), 112431.Google Scholar
Van Fraassen, B. C. (1989). Law and Symmetry. Oxford and New York: Oxford University Press.CrossRefGoogle Scholar
Vose, D. (2008). Risk Analysis: A Quantitative Guide, 3rd edn. Chichester: Wiley.Google Scholar
Whitby, M. (1998). The Grain Trade of Athens in the Fourth Century BC. In Parkins, H. and Smith, C. (eds.), Trade, Traders and the Ancient City. London and New York: Routledge, 10228.Google Scholar
Willet, R. (2014). Experiments with Diachronic Data Distribution Methods Applied to Eastern Sigillata A in the Eastern Mediterranean. Herom, 3, 3969.Google Scholar
Wilson, A. (2009). Approaches to Quantifying Roman Trade. In Bowman, A. K. and Wilson, A. (eds.), Quantifying the Roman Economy: Methods and Problems. Oxford: Oxford University Press, 21349.Google Scholar

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