IDEAS home Printed from https://ideas.repec.org/a/bpj/sndecm/v25y2021i2p14n2.html
   My bibliography  Save this article

A Strategy for the Use of the Cross Recurrence Quantification Analysis

Author

Listed:
  • Aparicio Teresa

    (Universidad de Zaragoza, Zaragoza, Spain)

  • Pozo Eduardo F.

    (Universidad de Zaragoza, Economic Analysis, Gran Vía 4, Zaragoza, Spain)

  • Saura Dulce

    (Universidad de Zaragoza, Zaragoza, Spain)

Abstract

In this work, our goal is to analyze the use of the Cross Recurrence Plot (CRP) and its quantification (CRQA) as tools to detect the possible existence of a relationship between two systems. To do that, we define three tests that are a bivariate extension of those proposed by Aparicio et al. (Aparicio, T., E. Pozo, and D. Saura. 2008. “Detecting Determinism Using Recurrence Quantification Analysis: Three Test Procedures.” Journal of Economic Behavior & Organization 65: 768–787, Aparicio, T., E. F. Pozo, and D. Saura. 2011. “Detecting Determinism Using Recurrence Quantification Analysis: A Solution to the Problem of Embedding.” Studies in Nonlinear Dynamics and Econometrics 15: 1–10) within the context of the Recurrence Quantification Analysis. These tests, based on the diagonal lines of the CRP, are applied to a large number of simulated pairs of series. The results obtained are not always satisfactory, with problems being detected specifically when the series have a high degree of laminarity. We study the identified problems and we implement a strategy that we consider adequate for the use of these tools. Finally, as an example, we apply this strategy to several economic series.

Suggested Citation

  • Aparicio Teresa & Pozo Eduardo F. & Saura Dulce, 2021. "A Strategy for the Use of the Cross Recurrence Quantification Analysis," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 25(2), pages 1-14, April.
    • Handle: RePEc:bpj:sndecm:v:25:y:2021:i:2:p:14:n:2
    DOI: 10.1515/snde-2018-0103
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/snde-2018-0103
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/snde-2018-0103?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Diks Cees & Panchenko Valentyn, 2005. "A Note on the Hiemstra-Jones Test for Granger Non-causality," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(2), pages 1-9, June.
    2. Diks, Cees & Panchenko, Valentyn, 2006. "A new statistic and practical guidelines for nonparametric Granger causality testing," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1647-1669.
    3. Hiemstra, Craig & Jones, Jonathan D, 1994. "Testing for Linear and Nonlinear Granger Causality in the Stock Price-Volume Relation," Journal of Finance, American Finance Association, vol. 49(5), pages 1639-1664, December.
    4. Aparicio, Teresa & Pozo, Eduardo F. & Saura, Dulce, 2008. "Detecting determinism using recurrence quantification analysis: Three test procedures," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 768-787, March.
    5. Petre Caraiani & Emmanuel Haven, 2013. "The Role of Recurrence Plots in Characterizing the Output-Unemployment Relationship: An Analysis," PLOS ONE, Public Library of Science, vol. 8(2), pages 1-11, February.
    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. Francis, Bill B. & Mougoué, Mbodja & Panchenko, Valentyn, 2010. "Is there a symmetric nonlinear causal relationship between large and small firms?," Journal of Empirical Finance, Elsevier, vol. 17(1), pages 23-38, January.
    2. Bonato, Matteo & Gupta, Rangan & Lau, Chi Keung Marco & Wang, Shixuan, 2020. "Moments-based spillovers across gold and oil markets," Energy Economics, Elsevier, vol. 89(C).
    3. Henryk Gurgul & Łukasz Lach & Roland Mestel, 2012. "The relationship between budgetary expenditure and economic growth in Poland," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(1), pages 161-182, March.
    4. Caporin, Massimiliano & Caraiani, Petre & Cepni, Oguzhan & Gupta, Rangan, 2025. "Predicting the conditional distribution of US stock market systemic Stress: The role of climate risks," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 101(C).
    5. Gurgul, Henryk & Lach, Łukasz, 2011. "Causality analysis between public expenditure and economic growth of Polish economy in last decade," MPRA Paper 52281, University Library of Munich, Germany.
    6. Pengfei Wang & Wei Zhang & Xiao Li & Dehua Shen, 2019. "Trading volume and return volatility of Bitcoin market: evidence for the sequential information arrival hypothesis," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(2), pages 377-418, June.
    7. Neto, David, 2022. "Examining interconnectedness between media attention and cryptocurrency markets: A transfer entropy story," Economics Letters, Elsevier, vol. 214(C).
    8. Philip Arestis & Hüseyin Şen & Ayşe Kaya, 2021. "On the linkage between government expenditure and output: empirics of the Keynesian view versus Wagner’s law," Economic Change and Restructuring, Springer, vol. 54(2), pages 265-303, May.
    9. Jinghua Wang & Geoffrey Ngene, 2018. "Symmetric and asymmetric nonlinear causalities between oil prices and the U.S. economic sectors," Review of Quantitative Finance and Accounting, Springer, vol. 51(1), pages 199-218, July.
    10. Michalis-Panayiotis Papafilis & Maria Psillaki & Dimitris Margaritis, 2019. "The Effect of the PSI in the Relationship Between Sovereign and Bank Credit Risk: Evidence from the Euro Area," Multinational Finance Journal, Multinational Finance Journal, vol. 23(3-4), pages 211-272, September.
    11. Azadeh Rahimi & Ba M. Chu & Marc Lavoie, 2017. "Linear and Non-Linear Granger Causality Between Short-Term and Long-Term Interest Rates: A Rolling Window Strategy," Metroeconomica, Wiley Blackwell, vol. 68(4), pages 882-902, November.
    12. Bonaccolto, G. & Caporin, M. & Gupta, R., 2018. "The dynamic impact of uncertainty in causing and forecasting the distribution of oil returns and risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 446-469.
    13. Yarovaya, Larisa & Zięba, Damian, 2022. "Intraday volume-return nexus in cryptocurrency markets: Novel evidence from cryptocurrency classification," Research in International Business and Finance, Elsevier, vol. 60(C).
    14. Oguzhan Cepni & Rangan Gupta & Jacobus Nel & Joshua Nielsen, 2025. "Monetary policy shocks and multi-scale positive and negative bubbles in an emerging country: the case of India," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 11(1), pages 1-25, December.
    15. Henryk Gurgul & Łukasz Lach, 2009. "Linear versus nonlinear causality for DAX companies," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 19(3), pages 27-46.
    16. Gupta, Rangan & Nel, Jacobus & Nielsen, Joshua & Pierdzioch, Christian, 2025. "Stock market volatility and multi-scale positive and negative bubbles," The North American Journal of Economics and Finance, Elsevier, vol. 75(PA).
    17. Gkillas, Konstantinos & Gupta, Rangan & Pierdzioch, Christian & Yoon, Seong-Min, 2021. "OPEC news and jumps in the oil market," Energy Economics, Elsevier, vol. 96(C).
    18. Xu Xiaojie, 2018. "Linear and Nonlinear Causality between Corn Cash and Futures Prices," Journal of Agricultural & Food Industrial Organization, De Gruyter, vol. 16(2), pages 1-16, November.
    19. Ahdi Noomen Ajmi & Roula Inglesi-Lotz, 2021. "Revisiting the Kuznets Curve Hypothesis for Tunisia: Carbon Dioxide vs. Ecological Footprint," Working Papers 202171, University of Pretoria, Department of Economics.
    20. Wei Zhang & Pengfei Wang, 2020. "Investor attention and the pricing of cryptocurrency market," Evolutionary and Institutional Economics Review, Springer, vol. 17(2), pages 445-468, July.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:bpj:sndecm:v:25:y:2021:i:2:p:14:n:2. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyterbrill.com .

    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.