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Let the tree decide: FABART. A non-parametric factor model for nonlinear oil shock transmission

Author

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  • O’Neill, Eoghan
  • Velasco, Sofia

Abstract

The question of how oil supply news shocks transmit to real activity, financial conditions, and regional labor markets is back at the center of the macroeconomic research agenda. To answer this question, we introduce the Factor Bayesian Additive Regression Tree (FABART) model, a nonlinear factor-augmented vector autoregression model, and apply it to a large U.S. macro-financial dataset with externally identified oil supply news shocks. The framework combines a large macro-financial information set with a flexible nonparametric measurement equation, allowing nonlinear transmission to emerge from the data rather than being imposed through a pre-specified functional form. We find that adverse oil supply news shocks generate stronger and more persistent contractions in real activity than the expansions associated with favorable shocks of comparable magnitude, with especially pronounced differences in industrial production, financial variables, and equity prices. Employment responses are highly heterogeneous across U.S. states, with substantially stronger contractions in manufacturing-intensive regions, while energy-producing states display partially offsetting dynamics following adverse oil supply news shocks. Across shock magnitudes, nonlinearities arise mainly between very small and moderate oil-price movements: small shocks generate weak and imprecisely estimated responses, while moderate shocks already produce economically meaningful effects on industrial production and regional employment. Larger shocks do not systematically generateproportionally stronger responses across variables and shock signs. JEL Classification: C11, C32, E32, Q43

Suggested Citation

  • O’Neill, Eoghan & Velasco, Sofia, 2026. "Let the tree decide: FABART. A non-parametric factor model for nonlinear oil shock transmission," Working Paper Series 3265, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:20263265
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    1. Degasperi, Riccardo, 2023. "Identification of Expectational Shocks in the Oil Market using OPEC Announcements," The Warwick Economics Research Paper Series (TWERPS) 1464, University of Warwick, Department of Economics.
    2. Hilde C. Bjørnland & Yoosoon Chang & Jamie L. Cross, 2026. "Oil and the stock market revisited: A mixed functional VAR approach," Quantitative Economics, Econometric Society, vol. 17(2), pages 541-589, May.
    3. Silvia Goncalves & Ana Maria Herrera & Lutz Kilian & Elena Peavento & Iones Kelanemer Holban, 2026. "Semiparametric Local Projections," Papers 2606.13519, arXiv.org.
    4. Lutz Kilian & Robert J. Vigfusson, 2011. "Are the responses of the U.S. economy asymmetric in energy price increases and decreases?," Quantitative Economics, Econometric Society, vol. 2(3), pages 419-453, November.
    5. Sofia Velasco, 2025. "Let the Tree Decide: FABART A Non-Parametric Factor Model," Papers 2506.11551, arXiv.org.
    6. Hamilton, James D & Herrera, Ana Maria, 2004. "Oil Shocks and Aggregate Macroeconomic Behavior: The Role of Monetary Policy: Comment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(2), pages 265-286, April.
    7. Erwan Gautier & Cristrina Conflitti & Daniel Enderle & Ludmilla Fadejeva & Alex Grimaud & Eduardo Gutierrez & Valentin Jouvaceau & Jan-Oliver Menz & Alari Paulus & Pavlos Petroulas & Pau Roldan-Blanco, 2026. "Consumer price stickiness in the Euro Area during an inflation surge," Bank of Estonia Working Papers wp2026-01, Bank of Estonia, revised 01 Jun 2026.
    8. Marcellino, Massimiliano & Pfarrhofer, Michael, 2025. "Nonparametric mixed frequency monitoring macro-at-risk," Economics Letters, Elsevier, vol. 255(C).
    9. Lutz Kilian & Cheolbeom Park, 2009. "The Impact Of Oil Price Shocks On The U.S. Stock Market," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(4), pages 1267-1287, November.
    10. Huber, Florian & Koop, Gary & Onorante, Luca & Pfarrhofer, Michael & Schreiner, Josef, 2023. "Nowcasting in a pandemic using non-parametric mixed frequency VARs," Journal of Econometrics, Elsevier, vol. 232(1), pages 52-69.
    11. Ben S. Bernanke & Mark Gertler & Mark Watson, 1997. "Systematic Monetary Policy and the Effects of Oil Price Shocks," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 28(1), pages 91-157.
    12. Joel M. David & Raffaella Giacomini & Xiyu Jiao & Weining Wang, 2026. "Causal State-Dependent Local Projections," Bristol Economics Discussion Papers 26/829, School of Economics, University of Bristol, UK.
    13. Haroon Mumtaz & Michele Piffer, 2022. "Impulse response estimation via flexible local projections," Papers 2204.13150, arXiv.org.
    14. James H. Stock & Mark W. Watson, 2005. "Implications of Dynamic Factor Models for VAR Analysis," NBER Working Papers 11467, National Bureau of Economic Research, Inc.
    15. Drossidis, Theo & Mumtaz, Haroon & Theophilopoulou, Angeliki, 2024. "The distributional effects of oil supply news shocks," Economics Letters, Elsevier, vol. 240(C).
    16. Antonio R. Linero, 2018. "Bayesian Regression Trees for High-Dimensional Prediction and Variable Selection," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 113(522), pages 626-636, April.
    17. Joel M. David & Raffaella Giacomini & Xiyu Jiao & Weining Wang, 2026. "Causal State-Dependent Local Projections," Papers 2605.05404, arXiv.org, revised Sep 2026.
    18. Liang Chen & Juan J. Dolado & Jesús Gonzalo, 2021. "Quantile Factor Models," Econometrica, Econometric Society, vol. 89(2), pages 875-910, March.
    19. Lutz Kilian & Xiaoqing Zhou, 2023. "The Econometrics of Oil Market VAR Models," Advances in Econometrics, in: Essays in Honor of Joon Y. Park: Econometric Methodology in Empirical Applications, volume 45, pages 65-95, Emerald Group Publishing Limited.
    20. Haroon Mumtaz, 2010. "Evolving UK macroeconomic dynamics: a time-varying factor augmented VAR," Bank of England Staff Working Paper series 386, Bank of England.
    21. Forni, Mario & Gambetti, Luca, 2014. "Sufficient information in structural VARs," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 124-136.
    22. Kilian, Lutz & Plante, Michael D. & Richter, Alexander W., 2026. "How Times Have Changed: The Impact of the 2026 Iran War on the U.S. Economy," CEPR Discussion Papers 21650, Centre for Economic Policy Research.
    23. Todd E. Clark & Florian Huber & Gary Koop & Massimiliano Marcellino & Michael Pfarrhofer, 2024. "Investigating Growth-at-Risk Using a Multicountry Nonparametric Quantile Factor Model," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 42(4), pages 1302-1317, October.
    24. Maia, Mateus & Murphy, Keefe & Parnell, Andrew C., 2024. "GP-BART: A novel Bayesian additive regression trees approach using Gaussian processes," Computational Statistics & Data Analysis, Elsevier, vol. 190(C).
    25. Kilian, Lutz, 2024. "How to construct monthly VAR proxies based on daily surprises in futures markets," Journal of Economic Dynamics and Control, Elsevier, vol. 168(C).
    26. Herrera, Ana María & Karaki, Mohamad B. & Rangaraju, Sandeep Kumar, 2017. "Where do jobs go when oil prices drop?," Energy Economics, Elsevier, vol. 64(C), pages 469-482.
    27. Chen, Liang & Dolado, Juan J. & Gonzalo, Jesús & Pan, Haozi, 2026. "Estimation of characteristics-based quantile factor models," Journal of Econometrics, Elsevier, vol. 256(PA).
    28. Mork, Knut Anton, 1989. "Oil and Macroeconomy When Prices Go Up and Down: An Extension of Hamilton's Results," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 740-744, June.
    29. Baumeister, Christiane & Liu, Philip & Mumtaz, Haroon, 2013. "Changes in the effects of monetary policy on disaggregate price dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 543-560.
    30. Miranda-Agrippino, Silvia & Ricco, Giovanni, 2023. "Identification with External Instruments in Structural VARs," Journal of Monetary Economics, Elsevier, vol. 135(C), pages 1-19.
    31. Mario Forni & Alessandro Franconi & Luca Gambetti & Luca Sala, 2025. "Asymmetric transmission of oil supply news," Quantitative Economics, Econometric Society, vol. 16(3), pages 947-979, July.
    32. Hamilton, James D., 2011. "Nonlinearities And The Macroeconomic Effects Of Oil Prices," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S3), pages 364-378, November.
    33. James H. James & Mark W. Watson, 2005. "Implications of Dynamic Factor Models for VAR Analysis," Working Papers 2005-2, Princeton University. Economics Department..
    34. Hauzenberger, Niko & Huber, Florian & Klieber, Karin, 2023. "Real-time inflation forecasting using non-linear dimension reduction techniques," International Journal of Forecasting, Elsevier, vol. 39(2), pages 901-921.
    35. Kharroubi, Enisse & Spigt, Renée & Igan, Deniz & Takahashi, Koji & Zakrajšek, Egon, 2023. "Markups and the Asymmetric Pass-Through of Cost Push Shocks," CEPR Discussion Papers 18723, Centre for Economic Policy Research.
    36. Lorenzo Mori & Gert Peersman, 2024. "Estimating the Macroeconomic Effects of Oil Supply News," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 24/1099, Ghent University, Faculty of Economics and Business Administration.
    37. Davis, Steven J. & Haltiwanger, John, 2001. "Sectoral job creation and destruction responses to oil price changes," Journal of Monetary Economics, Elsevier, vol. 48(3), pages 465-512, December.
    38. Lutz Kilian, 2008. "The Economic Effects of Energy Price Shocks," Journal of Economic Literature, American Economic Association, vol. 46(4), pages 871-909, December.
    39. Tony Chernis & Niko Hauzenberger & Haroon Mumtaz & Michael Pfarrhofer, 2025. "A Bayesian Gaussian Process Dynamic Factor Model," Papers 2509.04928, arXiv.org.
    40. Julio J. Rotemberg & Michael Woodford, 1991. "Markups and the Business Cycle," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 63-140, National Bureau of Economic Research, Inc.
    41. Lutz Kilian & Robert J. Vigfusson, 2017. "The Role of Oil Price Shocks in Causing U.S. Recessions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(8), pages 1747-1776, December.
    42. Hamilton, James D, 1983. "Oil and the Macroeconomy since World War II," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 228-248, April.
    43. Valery Charnavoki & Juan J. Dolado, 2014. "The Effects of Global Shocks on Small Commodity-Exporting Economies: Lessons from Canada," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(2), pages 207-237, April.
    44. Forni, Mario & Giannone, Domenico & Lippi, Marco & Reichlin, Lucrezia, 2009. "Opening The Black Box: Structural Factor Models With Large Cross Sections," Econometric Theory, Cambridge University Press, vol. 25(5), pages 1319-1347, October.
    45. Lutz Kilian & Daniel P. Murphy, 2014. "The Role Of Inventories And Speculative Trading In The Global Market For Crude Oil," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(3), pages 454-478, April.
    46. Gonçalves, Sílvia & Herrera, Ana María & Kilian, Lutz & Pesavento, Elena, 2021. "Impulse response analysis for structural dynamic models with nonlinear regressors," Journal of Econometrics, Elsevier, vol. 225(1), pages 107-130.
    47. Lutz Kilian, 2009. "Not All Oil Price Shocks Are Alike: Disentangling Demand and Supply Shocks in the Crude Oil Market," American Economic Review, American Economic Association, vol. 99(3), pages 1053-1069, June.
    48. Luciana Juvenal & Ivan Petrella, 2015. "Speculation in the Oil Market," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(4), pages 621-649, June.
    49. Kapelner, Adam & Bleich, Justin, 2016. "bartMachine: Machine Learning with Bayesian Additive Regression Trees," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 70(i04).
    50. Haroon Mumtaz & Laura Sunder‐Plassmann, 2021. "Nonlinear effects of government spending shocks in the USA: Evidence from state‐level data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(1), pages 86-97, January.
    51. Lutz Kilian & Logan T. Lewis, 2011. "Does the Fed Respond to Oil Price Shocks?," Economic Journal, Royal Economic Society, vol. 121(555), pages 1047-1072, September.
    52. Ben S. Bernanke & Jean Boivin & Piotr Eliasz, 2005. "Measuring the Effects of Monetary Policy: A Factor-Augmented Vector Autoregressive (FAVAR) Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(1), pages 387-422.
    53. Herrera, Ana María & Karaki, Mohamad B., 2015. "The effects of oil price shocks on job reallocation," Journal of Economic Dynamics and Control, Elsevier, vol. 61(C), pages 95-113.
    54. Antonio R. Linero & Yun Yang, 2018. "Bayesian regression tree ensembles that adapt to smoothness and sparsity," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 80(5), pages 1087-1110, November.
    55. James D. Hamilton & Michael T. Owyang, 2012. "The Propagation of Regional Recessions," The Review of Economics and Statistics, MIT Press, vol. 94(4), pages 935-947, November.
    56. Forni, Mario & Gambetti, Luca, 2010. "The dynamic effects of monetary policy: A structural factor model approach," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 203-216, March.
    57. J. Durbin, 2002. "A simple and efficient simulation smoother for state space time series analysis," Biometrika, Biometrika Trust, vol. 89(3), pages 603-616, August.
    58. Jushan Bai & Peng Wang, 2015. "Identification and Bayesian Estimation of Dynamic Factor Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(2), pages 221-240, April.
    59. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
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    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • Q43 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy and the Macroeconomy

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