IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v594y2022ics0378437122000796.html
   My bibliography  Save this article

An empirical analysis of the global input–output network and its evolution

Author

Listed:
  • Grazzini, Jakob
  • Spelta, Alessandro

Abstract

This paper studies the global production network using a general equilibrium model calibrated on world input–output data. The analysis of propagation of idiosyncratic productivity shocks in the calibrated model allows to define a model-based network centrality measure. Such measure is used to investigate the topology of the global input–output network in 2014 and its evolution from 2000 to 2014. We find that new influential sectors have emerged over time. Moreover, we show that the global production system has evolved to become more sensitive to idiosyncratic productivity shocks and that this result is related to the increase of the intermediate input intensity of production.

Suggested Citation

  • Grazzini, Jakob & Spelta, Alessandro, 2022. "An empirical analysis of the global input–output network and its evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
  • Handle: RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122000796
    DOI: 10.1016/j.physa.2022.126993
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122000796
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2022.126993?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Giorgio Fagiolo & Javier Reyes & Stefano Schiavo, 2010. "The evolution of the world trade web: a weighted-network analysis," Journal of Evolutionary Economics, Springer, vol. 20(4), pages 479-514, August.
    2. Sean Holly & Ivan Petrella, 2012. "Factor Demand Linkages, Technology Shocks, and the Business Cycle," The Review of Economics and Statistics, MIT Press, vol. 94(4), pages 948-963, November.
    3. Fagiolo, Giorgio & Reyes, Javier & Schiavo, Stefano, 2008. "On the topological properties of the world trade web: A weighted network analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3868-3873.
    4. Moriconi, Simone & Peri, Giovanni, 2019. "Country-specific preferences and employment rates in Europe," European Economic Review, Elsevier, vol. 116(C), pages 1-27.
    5. Stefano Schiavo & Javier Reyes & Giorgio Fagiolo, 2010. "International trade and financial integration: a weighted network analysis," Quantitative Finance, Taylor & Francis Journals, vol. 10(4), pages 389-399.
    6. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2017. "Microeconomic Origins of Macroeconomic Tail Risks," American Economic Review, American Economic Association, vol. 107(1), pages 54-108, January.
    7. Vasco M. Carvalho, 2014. "From Micro to Macro via Production Networks," Journal of Economic Perspectives, American Economic Association, vol. 28(4), pages 23-48, Fall.
    8. Paul Bingley & Lorenzo Cappellari & Konstantinos Tatsiramos, 2014. "Family, Community and Long-Term Earnings Inequality," DISCE - Working Papers del Dipartimento di Economia e Finanza def017, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    9. Pol Antras & Davin Chor & Thibault Fally & Russell Hillberry, 2012. "Measuring the Upstreamness of Production and Trade Flows," American Economic Review, American Economic Association, vol. 102(3), pages 412-416, May.
    10. Mattia Guerini, 2013. "Is the Friedman Rule Stabilizing? Some Unpleasant Results in a Heterogeneous Expectations Framework," DISCE - Working Papers del Dipartimento di Economia e Finanza def003, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    11. Monticini, Andrea & Ravazzolo, Francesco, 2014. "Forecasting the intraday market price of money," Journal of Empirical Finance, Elsevier, vol. 29(C), pages 304-315.
    12. Russel Davidson & Andrea Monticini, 2014. "Heteroskedasticity-and-Autocorrelation-Consistent Bootstrapping," DISCE - Working Papers del Dipartimento di Economia e Finanza def012, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    13. repec:ctc:serie1:def18 is not listed on IDEAS
    14. repec:ctc:serie1:def0009 is not listed on IDEAS
    15. Sobbrio, Francesco, 2014. "Citizen-editors' endogenous information acquisition and news accuracy," Journal of Public Economics, Elsevier, vol. 113(C), pages 43-53.
    16. repec:ctc:serie1:def13 is not listed on IDEAS
    17. Mordecai Kurz & Maurizio Motolese & Giulia Piccillo & Howei Wu, 2015. "Monetary Policy with Diverse Private Expectations," Discussion Papers 15-004, Stanford Institute for Economic Policy Research.
    18. Ursino Giovanni, 2015. "Supply Chain Control: A Theory of Vertical Integration," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 15(4), pages 1831-1866, October.
    19. repec:ctc:serie1:def3 is not listed on IDEAS
    20. Aldasoro, Iñaki & Delli Gatti, Domenico & Faia, Ester, 2017. "Bank networks: Contagion, systemic risk and prudential policy," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 164-188.
    21. Matteo Barigozzi & Giorgio Fagiolo & Diego Garlaschelli, 2009. "Multinetwork of international trade: A commodity-specific analysis," Papers 0908.1879, arXiv.org, revised Jun 2010.
    22. Cinzia Di Novi & Elenka Brenna, 2013. "Is caring for elderly parents detrimental for women�s mental health? The influence of the European North-South gradient," Working Papers 2013:23, Department of Economics, University of Venice "Ca' Foscari".
    23. Vasco Carvalho & Xavier Gabaix, 2013. "The Great Diversification and Its Undoing," American Economic Review, American Economic Association, vol. 103(5), pages 1697-1727, August.
    24. repec:ctc:serie1:def9 is not listed on IDEAS
    25. Chinazzi, Matteo & Fagiolo, Giorgio & Reyes, Javier A. & Schiavo, Stefano, 2013. "Post-mortem examination of the international financial network," Journal of Economic Dynamics and Control, Elsevier, vol. 37(8), pages 1692-1713.
    26. Vasco M. Carvalho, 2014. "From Micro to Macro via Production Networks," Working Papers 793, Barcelona School of Economics.
    27. Daron Acemoglu & Ufuk Akcigit & William Kerr, 2016. "Networks and the Macroeconomy: An Empirical Exploration," NBER Macroeconomics Annual, University of Chicago Press, vol. 30(1), pages 273-335.
    28. Carsten Krabbe Nielsen, 2009. "Rational Overconfidence and Social Security," Discussion Paper Series 0916, Institute of Economic Research, Korea University.
    29. Marcel Timmer & Abdul A. Erumban & Reitze Gouma & Bart Los & Umed Temurshoev & Gaaitzen J. de Vries & I–aki Arto & Valeria Andreoni AurŽlien Genty & Frederik Neuwahl & JosŽ M. Rueda?Cantuche & Joseph , 2012. "The World Input-Output Database (WIOD): Contents, Sources and Methods," IIDE Discussion Papers 20120401, Institue for International and Development Economics.
    30. repec:ctc:serie1:def2 is not listed on IDEAS
    31. Colombo, Luca & Dawid, Herbert, 2014. "Strategic location choice under dynamic oligopolistic competition and spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 288-307.
    32. Paul Bingley & Lorenzo Cappellari, 2019. "Correlation of Brothers' Earnings and Intergenerational Transmission," The Review of Economics and Statistics, MIT Press, vol. 101(2), pages 370-383, May.
    33. repec:ctc:serie1:def11 is not listed on IDEAS
    34. repec:ctc:serie1:def0013 is not listed on IDEAS
    35. Daniela Parisi, 2014. "Is There Room for 'Fear' as a Human Passion in the Work by Adam Smith?," DISCE - Working Papers del Dipartimento di Economia e Finanza def008, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    36. Massimo Bordignon & Matteo Gamalerio & Gilberto Turati, 2013. "Decentralization, Vertical Fiscal Imbalance, and Political Selection," DISCE - Working Papers del Dipartimento di Economia e Finanza def002, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    37. Hinnerk Gnutzmann, 2014. "Price Discrimination in Asymmetric Industries: Implications for Competition and Welfare," DISCE - Working Papers del Dipartimento di Economia e Finanza def019, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    38. Serena Frazzoni & Maria Luisa Mancusi & Zeno Rotondi & Maurizio Sobrero & Andrea Vezzulli, 2014. "Innovation and export in SMEs: the role of relationship banking," DISCE - Working Papers del Dipartimento di Economia e Finanza def018, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    39. Angelo Baglioni & Andrea Boitani & Massimo Bordignon, 2016. "Labor Mobility and Fiscal Policy in a Currency Union," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 72(4), pages 371-406, December.
    40. Daron Acemoglu & Pablo D. Azar, 2020. "Endogenous Production Networks," Econometrica, Econometric Society, vol. 88(1), pages 33-82, January.
    41. Maria Flavia Ambrosanio & Paolo Balduzzi & Massimo Bordignon, 2014. "Economic crisis and fiscal federalism in Italy," Working papers 8, Società Italiana di Economia Pubblica.
    42. repec:ctc:serie1:def7 is not listed on IDEAS
    43. Avdjiev, S. & Giudici, P. & Spelta, A., 2019. "Measuring contagion risk in international banking," Journal of Financial Stability, Elsevier, vol. 42(C), pages 36-51.
    44. Raja Kali & Javier Reyes, 2010. "Financial Contagion On The International Trade Network," Economic Inquiry, Western Economic Association International, vol. 48(4), pages 1072-1101, October.
    45. repec:zbw:bofrdp:2015_025 is not listed on IDEAS
    46. Jiankui He & Michael W. Deem, 2010. "Structure and Response in the World Trade Network," Papers 1010.0410, arXiv.org.
    47. repec:ctc:serie1:def0016 is not listed on IDEAS
    48. repec:ctc:serie1:def0002 is not listed on IDEAS
    49. repec:ctc:serie1:def0020 is not listed on IDEAS
    50. Timmer, Marcel P. & Los, Bart & Stehrer, Robert & de Vries, Gaaitzen J., 2016. "An Anatomy of the Global Trade Slowdown based on the WIOD 2016 Release," GGDC Research Memorandum GD-162, Groningen Growth and Development Centre, University of Groningen.
    51. repec:ctc:serie1:def0018 is not listed on IDEAS
    52. repec:ctc:serie1:def6 is not listed on IDEAS
    53. Salvatore Piccolo & Piero Tedeschi & Giovanni Ursino, 2015. "How limiting deceptive practices harms consumers," RAND Journal of Economics, RAND Corporation, vol. 46(3), pages 611-624, September.
    54. Chand, A.K.S. & Currarini, Sergio & Ursino, Giovanni, 2013. "Cheap Talk with Correlated Signals," Climate Change and Sustainable Development 158726, Fondazione Eni Enrico Mattei (FEEM).
    55. repec:ctc:serie1:def0004 is not listed on IDEAS
    56. repec:ctc:serie1:def4 is not listed on IDEAS
    57. Jakob Grazzini & Domenico Massaro, 2022. "Great Volatility, Great Moderation and Great Moderation Again," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 44, pages 269-283, April.
    58. Daron Acemoglu & Vasco M. Carvalho & Asuman Ozdaglar & Alireza Tahbaz‐Salehi, 2012. "The Network Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 80(5), pages 1977-2016, September.
    59. repec:ctc:serie1:def12 is not listed on IDEAS
    60. repec:ctc:serie1:def0021 is not listed on IDEAS
    61. Rosario Crinò & Laura Ogliari, 2015. "Financial Frictions, Product Quality, and International Trade," DISCE - Working Papers del Dipartimento di Economia e Finanza def030, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    62. repec:ctc:serie1:def21 is not listed on IDEAS
    63. repec:ctc:serie1:def0006 is not listed on IDEAS
    64. Piccolo, Salvatore & Tarantino, Emanuele & Ursino, Giovanni, 2015. "The value of transparency in multidivisional firms," International Journal of Industrial Organization, Elsevier, vol. 41(C), pages 9-18.
    65. Assenza, Tiziana & Grazzini, Jakob & Hommes, Cars & Massaro, Domenico, 2015. "PQ strategies in monopolistic competition: Some insights from the lab," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 62-77.
    66. repec:ctc:serie1:def0019 is not listed on IDEAS
    67. Crinò, Rosario & Ogliari, Laura, 2015. "Financial Frictions, Product Quality, and International Trade," CEPR Discussion Papers 10555, C.E.P.R. Discussion Papers.
    68. repec:ctc:serie1:def10 is not listed on IDEAS
    69. Elenka Brenna & Federico Spandonaro, 2014. "Does federalism induce patients’ mobility across regions? Evidence from the Italian experience," DISCE - Working Papers del Dipartimento di Economia e Finanza def009, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    70. Tiziana Assenza & William A. Brock & Cars H. Hommes, 2013. "Animal Spirits, Heterogeneous Expectations and the Emergence of Booms and Busts," Tinbergen Institute Discussion Papers 13-205/II, Tinbergen Institute.
    71. Pecora, Nicolò & Spelta, Alessandro, 2015. "Shareholding relationships in the Euro Area banking market: A network perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 1-12.
    72. repec:ctc:serie1:def0003 is not listed on IDEAS
    73. repec:ctc:serie1:def8 is not listed on IDEAS
    74. repec:ctc:serie1:def1 is not listed on IDEAS
    75. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
    76. repec:ctc:serie1:def0001 is not listed on IDEAS
    77. Claudio Lucifora & Simone Moriconi, 2014. "Policy Myopia and Labour Market Institutions," DISCE - Working Papers del Dipartimento di Economia e Finanza def013, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    78. repec:ctc:serie1:def0008 is not listed on IDEAS
    79. repec:zbw:bofrdp:urn:nbn:fi:bof-201512101464 is not listed on IDEAS
    80. repec:ctc:serie1:def15 is not listed on IDEAS
    81. repec:ctc:serie1:def0005 is not listed on IDEAS
    82. Charles R. Hulten, 1978. "Growth Accounting with Intermediate Inputs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 511-518.
    83. repec:ctc:serie1:def0011 is not listed on IDEAS
    84. Gabriele Mazzolini, 2014. "The economic consequences of accidents at work," DISCE - Working Papers del Dipartimento di Economia e Finanza def015, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    85. repec:ctc:serie1:def0015 is not listed on IDEAS
    86. repec:ctc:serie1:def0007 is not listed on IDEAS
    87. Marcel P. Timmer & Abdul Azeez Erumban & Bart Los & Robert Stehrer & Gaaitzen J. de Vries, 2014. "Slicing Up Global Value Chains," Journal of Economic Perspectives, American Economic Association, vol. 28(2), pages 99-118, Spring.
    88. repec:ctc:serie1:def20 is not listed on IDEAS
    89. Elenka Brenna & Cinzia Di Novi, 2013. "Is caring for elderly parents detrimental to women’s mental health? The influence of the European North-South gradient," DISCE - Working Papers del Dipartimento di Economia e Finanza def004, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    90. Horvath, Michael, 2000. "Sectoral shocks and aggregate fluctuations," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 69-106, February.
    91. Raja Kali & Javier Reyes, 2007. "The architecture of globalization: a network approach to international economic integration," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 38(4), pages 595-620, July.
    92. repec:ctc:serie1:def19 is not listed on IDEAS
    93. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 39-43, March.
    94. repec:ctc:serie1:def16 is not listed on IDEAS
    95. Foti, Nicholas J. & Pauls, Scott & Rockmore, Daniel N., 2013. "Stability of the World Trade Web over time – An extinction analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 37(9), pages 1889-1910.
    96. Michael Horvath, 1998. "Cyclicality and Sectoral Linkages: Aggregate Fluctuations from Independent Sectoral Shocks," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(4), pages 781-808, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Checchi, Daniele & Fenizia, Alessandra & Lucifora, Claudio, 2021. "Public Sector Jobs: Working in the Public Sector in Europe and the US," IZA Discussion Papers 14514, Institute of Labor Economics (IZA).
    2. Russell Davidson & Andrea Monticini, 2018. "Improvements in Bootstrap Inference," DISCE - Working Papers del Dipartimento di Economia e Finanza def070, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    3. Luca Fiorito & Cosma Orsi, 2016. "Survival Value And A Robust, Practical, Joyless Individualism: Thomas Nixon Carver, Social Justice, And Eugenics," DISCE - Working Papers del Dipartimento di Economia e Finanza def044, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    4. Elenka Brenna & Lara Gitto, 2018. "Adult education, the use of Information and Communication Technologies and the impact on quality of life: a case study," DISCE - Working Papers del Dipartimento di Economia e Finanza def073, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    5. Rosario Crino & Giovanni Immordino & Gülen Karakoç-Palminteri & Salvatore Piccolo, 2018. "Fighting Mobile Crime," CSEF Working Papers 504, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    6. Rosario Crinò & Laura Ogliari, 2015. "Financial Frictions, Product Quality, and International Trade," DISCE - Working Papers del Dipartimento di Economia e Finanza def030, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    7. Pieroni, Luca & Roig, Melcior Rosselló & Salmasi, Luca, 2023. "Italy: Immigration and the evolution of populism," European Journal of Political Economy, Elsevier, vol. 76(C).
    8. Grazia Cecere & Nicoletta Corrocher & Maria Luisa Mancusi, 2016. "Financial constraints and public funding for eco-innovation: Empirical evidence on European SMEs," DISCE - Working Papers del Dipartimento di Economia e Finanza def046, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    9. Fanfani, Bernardo, 2022. "Tastes for discrimination in monopsonistic labour markets," Labour Economics, Elsevier, vol. 75(C).
    10. Cottini Elena & Ghinetti Paolo, 2017. "Is it the Way You Live or the Job You Have? Health Effects of Lifestyles and Working Conditions," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 17(3), pages 1-20, July.
    11. Basiglio Stefania & Foresta Alessandra & Turati Gilberto, 2021. "Impatience and crime. Evidence from the NLSY97," Working papers 073, Department of Economics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    12. Michele Tettamanzi, 2017. "E Many Pluribus Unum: A Behavioural Macro-Economic Agent Based Model," DISCE - Working Papers del Dipartimento di Economia e Finanza def062, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    13. Boitani, Andrea & Dragomirescu-Gaina, Catalin, 2023. "News and narratives: A cointegration analysis of Russian economic policy uncertainty," Economics Letters, Elsevier, vol. 226(C).
    14. Sebastiano Della Lena & Fabrizio Panebianco, 2019. "Cultural Transmission with Incomplete Information: Parental Perceived Efficacy and Group Misrepresentation," DISCE - Working Papers del Dipartimento di Economia e Finanza def079, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    15. Irene Torrini & Claudio Lucifora & Antonio Russo, 2022. "The Long-Term Effects of Hospitalization on Health Care Expenditures: An Empirical Analysis for the Young-Old Population," DISCE - Working Papers del Dipartimento di Economia e Finanza def117, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    16. Elenka Brenna & Lara Gitto, 2016. "Financing elderly care in Italy and Europe. Is there a common vision?," DISCE - Working Papers del Dipartimento di Economia e Finanza def047, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    17. Simone Moriconi, 2016. "Taxation, industry integration and production efficiency," DISCE - Working Papers del Dipartimento di Economia e Finanza def043, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    18. Tiziana Assenza & Domenico Delli Gatti & Jakob Grazzini & Giorgio Ricchiuti, 2016. "Heterogeneous Firms and International Trade: The Role of Productivity and Financial Fragility," CESifo Working Paper Series 5959, CESifo.
    19. Valentina Colombo & Alessia Paccagnini, 2024. "Uncertainty and the Federal Reserve’s Balance Sheet Monetary Policy," DISCE - Working Papers del Dipartimento di Economia e Finanza def131, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    20. Chiara Punzo & Giulia Rivolta, 2022. "Money versus debt financed regime: Evidence from an estimated DSGE model," DISCE - Working Papers del Dipartimento di Economia e Finanza def120, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).

    More about this item

    Keywords

    Input–output; Network analysis; Global production;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122000796. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.