New Cross-Sectionally Dependent Panel Data Methods for the Analysis of Macroeconomic and Financial Networks

Lead Research Organisation: University of York
Department Name: Economics

Abstract

In the social sciences, it is common to use datasets in which information for a group of entities is recorded at multiple points in time. This is known as panel data and it forms the basis for longitudinal analysis. As with all statistical models, panel data models rely on assumptions. One common assumption of panel data models is that the residual variation in the data (i.e. that part of the variation in the data that the model cannot explain) is uncorrelated across entities. This is known as cross-sectional independence. However, this assumption is frequently violated in practice. The development of methods to control for cross-sectional dependence (CSD) is an active area of research.

CSD can arise through two mechanisms. First, the data may exhibit spatial dependence, such that the behaviour of one entity may depend on the behaviour of its neighbours/peers. This is often called 'local' or 'weak' CSD. Second, the data for all entities may be influenced by one or more common factors. This is 'global' or 'strong' CSD. Often, both mechanisms may be jointly responsible for CSD. However, in practice, models that account for both spatial effects and common factors are rare, and those that do exist are highly stylised. We propose to develop a unifying framework for the estimation of sophisticated and realistic dynamic heterogeneous panel data models that account for spatial dependence and common factors.

This project will generate three significant methodological advances. We will:

(i) increase the flexibility and realism of spatial dynamic panel data models with common factors by developing techniques that allow for the model parameters to be heterogeneous across individuals, unlike most existing studies that assume parameter homogeneity.

(ii) develop methods to exploit the network structure of spatial dynamic panel data models, opening new opportunities to use models of this type to understand the bilateral linkages among entities in the global economy.

(iii) extend the methods discussed above from the common case of unilateral (or 2-dimensional) panel data to the more complex case of bilateral (3D) panel data, such as trade and investment flows.

We will apply the methodologies that we develop to study three important aspects of globalisation. We will:

(i) develop a new model to study the convergence of national business cycles onto a so-called global business cycle. Our model will allow us to separate convergence due to the effect of spatial linkages (e.g. trade and political relations, migration flows etc.) from convergence due to the influence of global factors. This model will help to guide the design of economic stabilisation policy in an interconnected world.

(ii) develop a new model to study global trade flows and to separate the influence of spatial linkages (e.g. common borders, membership of free trade areas, common languages etc.) from global factors (e.g. the state of the global business cycle). The development of such models is of strategic importance to the UK, given the trade implications of Brexit.

(iii) develop a new hierarchical model of global stock markets, where the performance of a firm may depend on spatial relations (e.g. linkages to other firms in its sector and/or in its geographical region) as well as a range of common factors (e.g. liquidity, investor risk aversion). Models of this type provide new insights into the globalised nature of economic activity and highlight opportunities and obstacles to economic growth for both the public and private sector.

In sum, this project will make significant methodological contributions and will leverage these contributions to address pressing contemporary issues facing policymakers and professional economists alike.

Planned Impact

Identifying Key Stakeholders.

The key stakeholders that will benefit from this research are:

(i) Central banks, who must account for international events and global conditions when pursuing their economic stabilisation objectives

(ii) Policy institutions focusing on trade issues, such as the UK Department for International Trade, the Australian Department of Foreign Affairs and Trade and the World Trade Organisation

(iii) National and international regulators charged with monitoring and/or managing bilateral flows, such as cross-border capital flows and bilateral bank exposures

(iv) Researchers working in think-tanks focusing on international issues, such as trade and migration flows

(v) Public bodies interesting in promoting discourse on issues of trade and openness, including branches of the media

(vi) Professional economists working in fields where both spatial and factor dependence is important, such as commodities trading

(vii) Public and private bodies working in fields beyond economics/econometrics where spatial dependence is important, such as public health


Benefits to Key Stakeholders.

The principal benefits for stakeholders are twofold.

First, many of the stakeholders that we identify operate in challenging environments where they must analyse and respond to both regional (spatial) and global events. The econometric techniques that we develop can be used to explore and understand these complex environments and to rationalise policy/business decision-making.

Many of the stakeholders that we identify are well-resourced and have in-house teams that will be able to adapt the techniques that we will develop to their own specific needs and circumstances. To assist stakeholders that do not possess such resources, we have requested funding to develop online resources to support the end-users of our work, including publicly releasing well-documented versions of the computer programmes required to estimate statistical models using the methods that we develop. As detailed elsewhere in this proposal, we will also hold two 3-day taught masterclasses in Melbourne and York that will offer practical tuition and guidance on how to apply our methods independently. We will seek participation in these events from the stakeholders identified above.

Second, we will use our econometric techniques to analyse important issues relating to the global business cycle, international trade and the nature of financial market interdependence. The results of our analyses will be of immediate relevance to macroeconomic policymakers and institutions responsible for trade policy. This is timely given the elevated uncertainty surrounding global trade at present due both to Brexit uncertainty and to the ongoing trade dispute between the US and China.

Our findings will contribute to the high-profile ongoing public debate surrounding trade policy and openness. We will seek to release opinion pieces based on our research via public fora such as The Conversation and VoxEU and we will take any opportunities to engage with traditional media outlets as they arise. Our Universities have media teams that will provide valuable support in these efforts.

Publications

10 25 50
publication icon
Chen J (2021) Nonparametric homogeneity pursuit in functional-coefficient models in Journal of Nonparametric Statistics

publication icon
Chen J (2022) Nonlinear limits to arbitrage in Journal of Futures Markets

publication icon
Jang H (2022) Spatial Attendance Spillover in Football Leagues in International Journal of Empirical Economics

publication icon
Richter S (2023) Testing for parameter change epochs in GARCH time series in The Econometrics Journal

publication icon
Xu X (2022) Dynamic Network Quantile Regression Model in Journal of Business & Economic Statistics

 
Description The main outcome of our research is the development of a systematic framework to study data observed over space and time. This is an increasingly common data structure in the modern world and one that poses many challenges for social scientists. As an illustration, suppose that one wishes to study a dataset composed of economic data for 50 countries observed annually over 50 years. Traditional models of spatial data make a number of simplifying assumptions, such as the assumption that all spatial units (in this case countries) are alike in the sense that they share a common set of model parameters, or the assumption that outcomes for one country depend either on the outcomes in neighbouring countries or on global outcomes but not both simultaneously. Our research provides a method to overcome these limitations and, therefore, to build more realistic models of spatial datasets.
Exploitation Route Our methods have applications throughout the social sciences and can be used to study diverse problems including climate change, demographic change, financial market interdependence, pollution management, supply chain management and transportation. In each case, there is scope to apply our methods largely as we describe them or to further develop and customise our techniques to suit specific research questions. Our methods have particularly clear relevance for the study of global supply chain disruptions of the type that we recently witnessed driven by the conflict in Ukraine. The development of methods for the study of counterfactual scenarios through the lens of our framework would be of significant interest to policymakers and practitioners faced with such global disruptions.
Sectors Communities and Social Services/Policy,Energy,Environment,Financial Services, and Management Consultancy,Government, Democracy and Justice,Security and Diplomacy,Transport,Other

 
Description By taking steps to develop a unifying framework to handle cross-section dependence in panel data models, the research funded by this award has significantly extended the frontier of spatial econometrics/statistics. Although the diffusion of new research takes time, our work is already receiving significant attention from academia and beyond. To promote the independent uptake of our methods both by researchers and practitioners, the research team has organised a programme of engagement activities. In December 2022, Prof Shin delivered a workshop on spatial methods to a policy focused audience at the European Commission. A follow-up event is scheduled for mid-2023 in Melbourne. In addition, the Centre for Applied Macroeconomic Analysis (CAMA) at the Australian National University will host a workshop showcasing our methods to a diverse audience in April 2023. CAMA is a large research network of over 250 research economists at universities, policy institutions, and in industry worldwide. These events will help to reduce the start-up costs faced by those wishing to adopt our methods.
First Year Of Impact 2022
Sector Financial Services, and Management Consultancy,Government, Democracy and Justice
Impact Types Economic,Policy & public services

 
Description Workshop on New Cross-Sectionally Dependent Panel Data Methods for the Analysis of Economic and Financial Networks at European Commission, JRC, Ispra, December 13-15, 2022 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Policymakers/politicians
Results and Impact We hold a two-day workshop where the recent developments of the panel data literature on cross-section dependence and spatial heterogeneity will be discussed both theoretically and the empirically. The aim of the workshop is to discuss the most updated panel data econometric techniques in the field and provide related empirical applications.

Contents:

1. Overview on Cross-section Dependence (CSD) In Panels
2. The Factor-based Models of Cross Sectionally Dependent Panels
(i) The iterative principal component (IPC) analysis
(ii) The common correlated effects (CCE) estimator
(iii) An identification of the number of unobserved factors
(iv) The specifications tests: CD test, Hausman test by Bai and LM testing for correlated loadings by KSS
3. The Spatial-based Models of CSD
(i) The homogeneous case
(ii) The heterogeneous case: STARDL & STARF
4. The Joint Modelling of the Spatial Dependence and Unobserved Factors
(i) The IPC-based approach
(ii) The CCE-based approach
(iii) The intermediate KMS approach
5. Multi-dimensional Modelling in Cross Sectionally Dependent Panels
(i) The 3D FE and RE estimators
(ii) The 3D CCE estimator
(iii) The 3D IPC estimator
(iv) An identification of the number of global and local factors in the multi-level panel data
(v) The joint modelling of the spatial effects and unobserved Factors
Year(s) Of Engagement Activity 2022