Forecasting long memory left–right political orientations

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Abstract

This paper considers out-of-sample forecasting of left–right political orientations of party affiliates in the Netherlands, using weekly data from 973 independent national Dutch surveys conducted between 1978 and 1996. The orientations of left-wing and right-wing party affiliates tend to converge over time in the sense that the differences between the average positions tend to decline. The left–right series also reveal long-memory properties in the sense that shocks appear to be highly persistent. We develop forecasting models that account for these data features and we derive the relevant forecast intervals.

Introduction

Just as liberal–conservative is the key concept in US electoral research, left–right is central to studies of political party competition in Western Europe. Being the best single explanatory variable for vote intention and political party choice, almost every political survey conducted in Western Europe in the past several decades has incorporated the left–right political orientation scale into its questionnaire. However, because there seems to be a consensus among political scientists that left–right orientations are permanent and invariable, possible changes in left–right orientations among West European mass publics have drawn little scholarly notice. This paper draws upon 973 independent national surveys conducted between 1978 and 1996 to track trends in the aggregate left–right political orientations of party affiliates in the Netherlands. More specifically, we examine whether the average left–right orientations of the party groupings tend to converge to each other and whether these changes are of a long memory nature. We subsequently formulate forecasting models that account for these data features.

The novelty of this paper is not in the application of long memory models to political data. Some previous studies have applied the autoregressive fractionally integrated moving average (ARFIMA) model to analyze the long-memory properties of the outcomes of political polls in the US and the UK. Box-Steffensmeier and Smith (1996) have estimated ARFIMA models for the percentages of Republican and Democratic identifiers in 160 quarterly polls from 1953 to 1992 in the US and Byers et al. (1996) have estimated these models for (logistic transforms of) Conservative and Labor support in 417 monthly polls from 1960 to 1995 in the UK. Both studies find that aggregate series of partisanship are pure fractionally integrated processes. In our study, however, the estimates for the MA parameters turn out to be significant and we determine the significance of the drift in the data, an issue which previous studies did not address. Additionally, we experiment with different deterministic trend functions, including a logistic trend. Our paper is also novel – next to the large number of time points we use – in that it clearly demonstrates the crucial part played by the fractional differencing parameter in long-range forecasting.

The paper is organized as follows. Section 2examines the data and some of their properties. Section 3incorporates the convergence and long-memory properties of the data into forecasting models and Section 4reports the empirical results. It derives forecast intervals and investigates whether the average left–right orientations will reach the state of convergence in the near future. The paper concludes with some remarks in Section 5.

Section snippets

The data and some of their properties

The data are taken from the NIPO Inc.'s Omnibus Survey, a weekly survey based on personal interviews of a random probability sample of the Dutch voting age population (age 18 and over), that has been running since the early 1950s. In addition to items included on an occasional basis, the survey contains a series of standardized questionnaire items. We have extracted two “face-sheet” characteristics from the original surveys, i.e., left–right political orientation and political party

Convergence, long memory, and forecasting

In this section we discuss a class of long memory models which can usefully describe our political orientation series. Additionally, we provide details of routines to estimate the parameters and to generate out-of-sample forecast error variances. We also discuss how one may account for the possibility that the number of respondents who support a political party is not constant over time.

Empirical results

In this section we report on the empirical results of applying the methods set out in the previous section to our six political orientations series.

An ARFIMA(1,d,1) model around a first order deterministic trend proves to be adequate for all our series. Adding extra parameters does not lead to significant improvements in fit. The QQ-plots of the stationary first differences do not show severe deviations from normality, except for the D66 series.

In Table 2 we report the parameter estimates for

Concluding remarks

The results reported in this paper provide strong support for the conjecture that there is a long memory convergence pattern in the left–right political orientations of party affiliates in the Netherlands. However, concluding that left–right polarization in the Dutch electorate is almost extinct would be premature. Our findings are obviously bracketed and placed in a period by the happenstance of data availability. It may be that the time period we studied covers the convergence part of a long

Acknowledgements

The authors are grateful to the anonymous referees and to the editors of this special issue for their valuable comments. The data were collected by The Netherlands Institute of Public Opinion (NIPO Inc.) and were made available by courtesy of the Steinmetz Archive in Amsterdam. None of these parties bears any responsibility for the analyses and interpretations presented here. The models were run using Ox (Doornik, 1996) and the ARFIMA package by Doornik and Ooms (1997). Data and programs needed

Biographies: Rob EISINGA is Professor of Quantitative Research Methods for Comparative and Longitudinal Survey Research at the Department of Social Science Research Methods of the University of Nijmegen. He combines his interest in sociological theories about social and political change with interest in statistical models for the analyses of time series and (repeated) cross-sectional surveys.
Philip Hans FRANSES is Associate Professor of Econometrics at the Econometric Institute, and Director at

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Biographies: Rob EISINGA is Professor of Quantitative Research Methods for Comparative and Longitudinal Survey Research at the Department of Social Science Research Methods of the University of Nijmegen. He combines his interest in sociological theories about social and political change with interest in statistical models for the analyses of time series and (repeated) cross-sectional surveys.
Philip Hans FRANSES is Associate Professor of Econometrics at the Econometric Institute, and Director at the Rotterdam Institute for Business Economic Studies, both of the Erasmus University Rotterdam. One of his research interests is modelling and forecasting time series. On this topic he has published in various journals and in Periodicity and Stochastic Trends in Economic Time Series (Oxford University Press, Oxford, 1996).
Marius OOMS is Assistant Professor of Econometrics at the Econometric Institute of the Erasmus University Rotterdam. He graduated in econometrics in 1985 at the University of Amsterdam. He received his Ph.D. in 1993 on the thesis Empirical Vector Autoregressive Modelling (Springer, Berlin, 1994). His current research interests include empirical modelling of seasonality, and long memory and testing for parameter stability in time-series models.

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