Publication

A Primer on Statistical Analysis of Dynamical Systems in Historical Social Sciences (with a Particular Emphasis on Secular Cycles)

Jan 2, 2005Structure and Dynamics: eJournal of Anthropological and Related SciencesStructural-Demographic Theory Political Instability States and Empires

Authors

Peter Turchin

Abstract

This primer explicates the conceptual foundations of the statistical approach to detecting dynamical feedbacks. It is assumed that we have time-series data on several aspects of the studied system. The basic idea of the approach is to regress discrete rates of change of measured variables on variables themselves. I discuss several issues involved in the analysis, such as how to select the appropriate time step, or the delay parameter. The goal of the analysis is to determine whether a particular predictor variable, or set of variables, has a statistically detectable effect on the response. This is accomplished by cross-validation.

Journal

Structure and Dynamics: eJournal of Anthropological and Related Sciences

Publication Details

Vol. 1 · No. 1

Cite This Publication

Peter Turchin. (2005). A Primer on Statistical Analysis of Dynamical Systems in Historical Social Sciences (with a Particular Emphasis on Secular Cycles). Structure and Dynamics: eJournal of Anthropological and Related Sciences, 1(1). https://doi.org/10.5070/sd911003265

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