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Searching for the Causal Structure of a Vector Autoregression

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Cited by:

  1. Aramayis Dallakyan, 2021. "Nonparanormal Structural VAR for Non-Gaussian Data," Computational Economics, Springer;Society for Computational Economics, vol. 57(4), pages 1093-1113, April.
  2. Nazmus Sadat Khan, 2016. "In search of causality between debt and growth: a graph theoretic approach," Economics Bulletin, AccessEcon, vol. 36(2), pages 677-687.
  3. Fazal, Rizwan & Rehman, Syed Aziz Ur & Rehman, Atiq Ur & Bhatti, Muhammad Ishaq & Hussain, Anwar, 2021. "Energy-environment-economy causal nexus in Pakistan: A graph theoretic approach," Energy, Elsevier, vol. 214(C).
  4. Stimel Derek S, 2011. "Dependence Relationships between On Field Performance, Wins, and Payroll in Major League Baseball," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 7(2), pages 1-19, May.
  5. repec:hal:spmain:info:hdl:2441/3l2vounfl99nvqsr0k24sn3k5l is not listed on IDEAS
  6. Yang, Jian & Tong, Meng & Yu, Ziliang, 2021. "Housing market spillovers through the lens of transaction volume: A new spillover index approach," Journal of Empirical Finance, Elsevier, vol. 64(C), pages 351-378.
  7. Yu, Tun-Hsiang (Edward) & Bessler, David A. & Fuller, Stephen W., 2006. "Cointegration and Causality Analysis of World Vegetable Oil and Crude Oil Prices," 2006 Annual meeting, July 23-26, Long Beach, CA 21439, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  8. Bruns, Stephan B. & Moneta, Alessio & Stern, David I., 2021. "Estimating the economy-wide rebound effect using empirically identified structural vector autoregressions," Energy Economics, Elsevier, vol. 97(C).
  9. Hogun Chong & Mary Zey & David A. Bessler, 2010. "On corporate structure, strategy, and performance: a study with directed acyclic graphs and PC algorithm," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 31(1), pages 47-62.
  10. Fazal, Rizwan & Bhatti, M. Ishaq & Rehman, Atiq Ur, 2022. "Causality Analysis: The study of Size and Power based on riz-PC Algorithm of Graph Theoretic Approach," Technological Forecasting and Social Change, Elsevier, vol. 180(C).
  11. Zijun Wang & Andrew J. Rettenmaier, 2008. "Deficits, Explicit Debt, Implicit Debt, and Interest Rates: Some Empirical Evidence," Southern Economic Journal, John Wiley & Sons, vol. 75(1), pages 208-222, July.
  12. Alessio Moneta, 2005. "Causality in macroeconometrics: some considerations about reductionism and realism," Journal of Economic Methodology, Taylor & Francis Journals, vol. 12(3), pages 433-453.
  13. Yin, Libo & Ma, Xiyuan, 2018. "Causality between oil shocks and exchange rate: A Bayesian, graph-based VAR approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 434-453.
  14. Oscar Jorda, 2007. "Inference for Impulse Responses," Working Papers 77, University of California, Davis, Department of Economics.
  15. Thomas Brenner & Matthias Duschl, 2015. "Causal dynamic effects in regional systems of technological activities: a SVAR approach," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 55(1), pages 103-130, October.
  16. Selva Demiralp & Kevin D. Hoover & Stephen J. Perez, 2008. "A Bootstrap Method for Identifying and Evaluating a Structural Vector Autoregression," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(4), pages 509-533, August.
  17. Guerini, Mattia & Moneta, Alessio, 2017. "A method for agent-based models validation," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 125-141.
  18. Jin Zhang & David Bessler & David Leatham, 2006. "Does consumer debt cause economic recession? Evidence using directed acyclic graphs," Applied Economics Letters, Taylor & Francis Journals, vol. 13(7), pages 401-407.
  19. Jin Zhang & David C. Broadstock, 2016. "The Causality between Energy Consumption and Economic Growth for China in a Time-varying Framework," The Energy Journal, , vol. 37(1_suppl), pages 29-54, January.
  20. Andrew Rettenmaier & Zijun Wang, 2013. "What determines health: a causal analysis using county level data," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 14(5), pages 821-834, October.
  21. Hans‐Martin Krolzig, 2003. "General‐to‐Specific Model Selection Procedures for Structural Vector Autoregressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(s1), pages 769-801, December.
  22. Stimel Derek, 2009. "A Statistical Analysis of NFL Quarterback Rating Variables," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 5(2), pages 1-26, May.
  23. Xiaojie Xu, 2019. "Contemporaneous Causal Orderings of CSI300 and Futures Prices through Directed Acyclic Graphs," Economics Bulletin, AccessEcon, vol. 39(3), pages 2052-2077.
  24. Timo Bettendorf & Reinhold Heinlein, 2023. "Connectedness between G10 currencies: Searching for the causal structure," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(4), pages 3938-3959, October.
  25. Emanuele Bacchiocchi, 2017. "On the Identification of Interdependence and Contagion of Financial Crises," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(6), pages 1148-1175, December.
  26. Òscar Jordà, 2005. "Estimation and Inference of Impulse Responses by Local Projections," American Economic Review, American Economic Association, vol. 95(1), pages 161-182, March.
  27. Daniel Felix Ahelegbey & Monica Billio & Roberto Casarin, 2016. "Bayesian Graphical Models for STructural Vector Autoregressive Processes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(2), pages 357-386, March.
  28. Ralf Brüggemann & Christian Kascha, 2017. "Directed Graphs and Variable Selection in Large Vector Autoregressive Models," Working Paper Series of the Department of Economics, University of Konstanz 2017-06, Department of Economics, University of Konstanz.
  29. Cordoni, Francesco & Dorémus, Nicolas & Moneta, Alessio, 2024. "Identification of vector autoregressive models with nonlinear contemporaneous structure," Journal of Economic Dynamics and Control, Elsevier, vol. 162(C).
  30. Guerini, Mattia & Moneta, Alessio & Napoletano, Mauro & Roventini, Andrea, 2020. "The Janus-Faced Nature Of Debt: Results From A Data-Driven Cointegrated Svar Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 24(1), pages 24-54, January.
  31. Castle Jennifer L. & Doornik Jurgen A & Hendry David F., 2011. "Evaluating Automatic Model Selection," Journal of Time Series Econometrics, De Gruyter, vol. 3(1), pages 1-33, February.
  32. Verbrugge, Randal & Zaman, Saeed, 2023. "The hard road to a soft landing: Evidence from a (modestly) nonlinear structural model," Energy Economics, Elsevier, vol. 123(C).
  33. Thomas Brenner & Marco Capasso & Matthias Duschl & Koen Frenken & Tania Treibich, 2018. "Causal relations between knowledge-intensive business services and regional employment growth," Regional Studies, Taylor & Francis Journals, vol. 52(2), pages 172-183, February.
  34. Etienne, Xiaoli L. & Hoffman, Linwood A., 2015. "Price Discovery and Risk Management in the U.S. Distiller’s Grain Markets," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205125, Agricultural and Applied Economics Association.
  35. Zijun Wang, 2010. "Directed graphs, information structure and forecast combinations: an empirical examination of US unemployment rates," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 29(4), pages 353-366.
  36. repec:spo:wpmain:info:hdl:2441/3l2vounfl99nvqsr0k24sn3k5l is not listed on IDEAS
  37. Moonsoo Park & Yanhong H. Jin & David A. Bessler, 2008. "The impacts of animal disease crises on the Korean meat market," Agricultural Economics, International Association of Agricultural Economists, vol. 39(2), pages 183-195, September.
  38. Henry L. Bryant & David A. Bessler & Michael S. Haigh, 2006. "Causality in futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(11), pages 1039-1057, November.
  39. Mendonça, Mário Jorge & Loureiro, Paulo R.A. & Sachsida, Adolfo, 2012. "The dynamics of land-use in Brazilian Amazon," Ecological Economics, Elsevier, vol. 84(C), pages 23-36.
  40. Nyondo, Christone R.J & Davidova, Sophia M. & Bailey, Alastair, 2013. "On Market Liberalisation and Efficiency: A Structural VECM Analysis of Dry Beans Markets in Malawi," 87th Annual Conference, April 8-10, 2013, Warwick University, Coventry, UK 158696, Agricultural Economics Society.
  41. Lima, Elcyon Caiado & Maka, Alexis & Céspedes, Brisne, 2008. "Monetary Policy, Inflation and the Level of Economic Activity in Brazil After the Real Plan: Stylized Facts from SVAR Models," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 62(2), October.
  42. Wang, Zijun, 2012. "The causal structure of bond yields," The Quarterly Review of Economics and Finance, Elsevier, vol. 52(1), pages 93-102.
  43. Kevin Hoover, 2005. "Economic Theory and Causal Inference," Working Papers 257, University of California, Davis, Department of Economics.
  44. Parum Faith & Dharmasena Senarath, 2024. "Food Price Inflation in the United States as a Complex Dynamic Economic System," Journal of Agricultural & Food Industrial Organization, De Gruyter, vol. 22(2), pages 113-132.
  45. Umut Akovali, 2020. "Beyond Connectedness: A Covariance Decomposition based Network Risk Model," Koç University-TUSIAD Economic Research Forum Working Papers 2003, Koc University-TUSIAD Economic Research Forum.
  46. Wang, Zijun & Yang, Jian & Li, Qi, 2007. "Interest rate linkages in the Eurocurrency market: Contemporaneous and out-of-sample Granger causality tests," Journal of International Money and Finance, Elsevier, vol. 26(1), pages 86-103, February.
  47. Oscar Jorda, 2003. "Model-Free Impulse Responses," Working Papers 38, University of California, Davis, Department of Economics.
  48. Pan, Xiongfeng & Uddin, Md. Kamal & Han, Cuicui & Pan, Xianyou, 2019. "Dynamics of financial development, trade openness, technological innovation and energy intensity: Evidence from Bangladesh," Energy, Elsevier, vol. 171(C), pages 456-464.
  49. Selva Demiralp & Kevin Hoover & Stephen Perez, 2014. "Still puzzling: evaluating the price puzzle in an empirically identified structural vector autoregression," Empirical Economics, Springer, vol. 46(2), pages 701-731, March.
  50. Piyachart Phiromswad & Takeshi Yagihashi, 2016. "Empirical identification of factor models," Empirical Economics, Springer, vol. 51(2), pages 621-658, September.
  51. Ahelegbey, Daniel Felix, 2015. "The Econometrics of Bayesian Graphical Models: A Review With Financial Application," MPRA Paper 92634, University Library of Munich, Germany, revised 25 Apr 2016.
  52. Bettendorf, Timo & Heinlein, Reinhold, 2019. "Connectedness between G10 currencies: Searching for the causal structure," Discussion Papers 06/2019, Deutsche Bundesbank.
  53. Randal Verbrugge & Saeed Zaman, 2024. "Post‐COVID inflation dynamics: Higher for longer," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 43(4), pages 871-893, July.
  54. Reinhold Heinlein & Hans-Martin Krolzig, 2011. "Effects of monetary policy on the $/£ exchange rate. Is there a 'delayed overshooting puzzle'?," Studies in Economics 1124, School of Economics, University of Kent.
  55. Kevin D. Hoover, 2020. "The Discovery of Long-Run Causal Order: A Preliminary Investigation," Econometrics, MDPI, vol. 8(3), pages 1-25, August.
  56. Henry L. Bryant & David A. Bessler, 2016. "Conditions Sufficient to Infer Causal Relationships Using Instrumental Variables and Observational Data," Computational Economics, Springer;Society for Computational Economics, vol. 48(1), pages 29-57, June.
  57. Tilak Abeysinghe & Gulasekaran Rajaguru, 2004. "Temporal aggregation, causality distortions and a sign rule," Econometric Society 2004 Australasian Meetings 73, Econometric Society.
  58. Perez, Stephen J. & Siegler, Mark V., 2006. "Agricultural and monetary shocks before the great depression: A graph-theoretic causal investigation," Journal of Macroeconomics, Elsevier, vol. 28(4), pages 720-736, December.
  59. Alessio Moneta & Peter Spirtes, 2005. "Graph-Based Search Procedure for Vector Autoregressive Models," LEM Papers Series 2005/14, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  60. Daniel Felix Ahelegbey & Monica Billio & Roberto Casarin, 2016. "Sparse Graphical Vector Autoregression: A Bayesian Approach," Annals of Economics and Statistics, GENES, issue 123-124, pages 333-361.
  61. Yang, Jian & Guo, Hui & Wang, Zijun, 2006. "International transmission of inflation among G-7 countries: A data-determined VAR analysis," Journal of Banking & Finance, Elsevier, vol. 30(10), pages 2681-2700, October.
  62. repec:spo:wpmain:info:hdl:2441/574jpbbn0f8f5r56hqi6mjgm9d is not listed on IDEAS
  63. Castle, Jennifer L. & Doornik, Jurgen A. & Hendry, David F., 2012. "Model selection when there are multiple breaks," Journal of Econometrics, Elsevier, vol. 169(2), pages 239-246.
  64. Fazal, Rizwan & Rehman, Syed Aziz Ur & Bhatti, M. Ishaq, 2022. "Graph theoretic approach to expose the energy-induced crisis in Pakistan," Energy Policy, Elsevier, vol. 169(C).
  65. Javier Pérez & A. Sánchez, 2011. "Is there a signalling role for public wages? Evidence for the euro area based on macro data," Empirical Economics, Springer, vol. 41(2), pages 421-445, October.
  66. Alessio Moneta, 2003. "Graphical Models for Structural Vector Autoregressions," LEM Papers Series 2003/07, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  67. Xu, Xiaojie, 2014. "Causality and Price Discovery in U.S. Corn Markets: An Application of Error Correction Modeling and Directed Acyclic Graphs," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 169806, Agricultural and Applied Economics Association.
  68. Moonsoo Park & Yanhong Jin & Alan Love, 2011. "Dynamic and contemporaneous causality in a supply chain: an application of the US beef industry," Applied Economics, Taylor & Francis Journals, vol. 43(30), pages 4785-4801.
  69. Zhang, Zhichao & Chau, Frankie & Zhang, Wenting, 2013. "Exchange rate determination and dynamics in China: A market microstructure analysis," International Review of Financial Analysis, Elsevier, vol. 29(C), pages 303-316.
  70. Peter G. Fennell & David O'Sullivan & Antoine Godin & Stephen Kinsella, 2014. "Visualising stock flow consistent models as directed acyclic graphs," Papers 1409.4541, arXiv.org.
  71. Matthias Duschl & Thomas Brenner, 2013. "Growth dynamics in regional systems of technological activities – A SVAR approach," Working Papers on Innovation and Space 2013-12, Philipps University Marburg, Department of Geography.
  72. Henry L. Bryant & David A. Bessler & Michael S. Haigh, 2009. "Disproving Causal Relationships Using Observational Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(3), pages 357-374, June.
  73. Phiromswad, Piyachart, 2015. "Measuring monetary policy with empirically grounded restrictions: An application to Thailand," Journal of Asian Economics, Elsevier, vol. 38(C), pages 104-113.
  74. Olagunju, Kehinde Oluseyi & Feng, Siyi & Patton, Myles, 2021. "Dynamic relationships among phosphate rock, fertilisers and agricultural commodity markets: Evidence from a vector error correction model and Directed Acyclic Graphs," Resources Policy, Elsevier, vol. 74(C).
  75. Alessio Moneta, 2008. "Graphical causal models and VARs: an empirical assessment of the real business cycles hypothesis," Empirical Economics, Springer, vol. 35(2), pages 275-300, September.
  76. Cardoso de Mendonça, Mário Jorge, 2013. "O Crédito Imobiliário no Brasil e sua Relação com a Política Monetária," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 67(4), November.
  77. Xiaojie Xu, 2017. "Contemporaneous causal orderings of US corn cash prices through directed acyclic graphs," Empirical Economics, Springer, vol. 52(2), pages 731-758, March.
  78. Yang, Zihui & Zhao, Yongliang, 2014. "Energy consumption, carbon emissions, and economic growth in India: Evidence from directed acyclic graphs," Economic Modelling, Elsevier, vol. 38(C), pages 533-540.
  79. Alessio Moneta & Doris Entner & Patrik O. Hoyer & Alex Coad, 2013. "Causal Inference by Independent Component Analysis: Theory and Applications," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(5), pages 705-730, October.
  80. Yang, Jian & Bessler, David A., 2008. "Contagion around the October 1987 stock market crash," European Journal of Operational Research, Elsevier, vol. 184(1), pages 291-310, January.
  81. Jinjarak, Yothin & Sheffrin, Steven M., 2011. "Causality, real estate prices, and the current account," Journal of Macroeconomics, Elsevier, vol. 33(2), pages 233-246, June.
  82. Parisa Pakrooh & Matteo Manera, 2024. "Causality, Connectedness, and Volatility Pass-through among Energy-Metal-Stock-Carbon Markets: New Evidence from the EU," Working Papers 2024.22, Fondazione Eni Enrico Mattei.
  83. Dallakyan, Aramayis & Bessler, David A., 2018. "Gaussian Copulas for Imposing Structure on VAR," 2018 Annual Meeting, August 5-7, Washington, D.C. 274401, Agricultural and Applied Economics Association.
  84. Wongboonsin, Kua & Phiromswad, Piyachart, 2017. "Searching for empirical linkages between demographic structure and economic growth," Economic Modelling, Elsevier, vol. 60(C), pages 364-379.
  85. Pedro Garcia Duarte & Kevin D. Hoover, 2012. "Observing Shocks," History of Political Economy, Duke University Press, vol. 44(5), pages 226-249, Supplemen.
  86. Lima, Elcyon Caiado Rocha & Maka, Alexis & Alves, Paloma, 2011. "Monetary Policy and Exchange Rate Shocks in Brazil: Sign Restrictions versus A New Hybrid Identification Approach," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 31(1), March.
  87. repec:hal:spmain:info:hdl:2441/574jpbbn0f8f5r56hqi6mjgm9d is not listed on IDEAS
  88. Theodore Panagiotidis & Thomas Panagiotou & Maurizio Mussoni, 2012. "Tourism Led Growth: Evidence from Panel Cointegration Tests," Working Paper series 74_12, Rimini Centre for Economic Analysis.
  89. Palma, Marco A. & Ribera, Luis A. & Bessler, David A. & Paggi, Mechel S. & Knutson, Ronald D., 2009. "Potential Impacts of Food Borne Ill Incidence on Market Movements and Prices of Fresh Produce in the US," 2009 Annual Meeting, January 31-February 3, 2009, Atlanta, Georgia 46745, Southern Agricultural Economics Association.
  90. Zahid ASGHAR & Tayyaba RAHAT, 2011. "Energy-Gdp Causal Relationship For Pakistan: A Graph Theoretic Approach," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 11(1).
  91. Kevin Hoover, 2005. "Economic Theory and Causal Inference," Working Papers 64, University of California, Davis, Department of Economics.
  92. Michael Margolis, 2017. "Graphs as a Tool for the Close Reading of Econometrics (Settler Mortality is not a Valid Instrument for Institutions)," Economic Thought, World Economics Association, vol. 6(1), pages 56-82, March.
  93. Heinlein, Reinhold & Krolzig, Hans-Martin, 2012. "On the construction of two-country cointegrated VAR models with an application to the UK and US," VfS Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century 62310, Verein für Socialpolitik / German Economic Association.
  94. Piyachart Phiromswad, 2014. "Measuring monetary policy with empirically grounded identifying restrictions," Empirical Economics, Springer, vol. 46(2), pages 681-699, March.
  95. Steven Sheffrin & Rujun Zhao, 2021. "Public perceptions of the tax avoidance of corporations and the wealthy," Empirical Economics, Springer, vol. 61(1), pages 259-277, July.
  96. Emmet Hall-Hoffarth, 2022. "Causal Discovery of Macroeconomic State-Space Models," Papers 2204.02374, arXiv.org.
  97. Oscar Jorda, 2007. "Inference for Impulse Responses," Working Papers 201, University of California, Davis, Department of Economics.
  98. Dominik Bertsche & Ralf Brüggemann & Christian Kascha, 2023. "Directed graphs and variable selection in large vector autoregressive models," Journal of Time Series Analysis, Wiley Blackwell, vol. 44(2), pages 223-246, March.
  99. Wang, Zijun, 2010. "Dynamics and causality in industry-specific volatility," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1688-1699, July.
  100. Alex Coad & Dominik Janzing & Paul Nightingale, 2018. "Tools for causal inference from cross-sectional innovation surveys with continuous or discrete variables: Theory and applications," Revista Cuadernos de Economia, Universidad Nacional de Colombia, FCE, CID, vol. 37(75), pages 779-808, March.
  101. Golpe, Antonio A. & Sánchez-Fuentes, A. Jesus & Vides, José Carlos, 2023. "Fiscal sustainability, monetary policy and economic growth in the Euro Area: In search of the ultimate causal path," Economic Analysis and Policy, Elsevier, vol. 78(C), pages 1026-1045.
  102. Daniel Felix Ahelegbey, 2015. "The Econometrics of Networks: A Review," Working Papers 2015:13, Department of Economics, University of Venice "Ca' Foscari".
  103. repec:fgv:epgrbe:v:67:n:4:a:4 is not listed on IDEAS
  104. Oscar Jorda, 2003. "Model-Free Impulse Responses," Working Papers 305, University of California, Davis, Department of Economics.
  105. Laura H Gunn & Enrique ter Horst & Talar W Markossian & German Molina, 2018. "Online interest regarding violent attacks, gun control, and gun purchase: A causal analysis," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-15, November.
  106. Etienne, Xiaoli L. & Irwin, Scott H. & Garcia, Philip, 2013. "Dissecting Corn Price Movements with Directed Acyclic Graphs," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 151279, Agricultural and Applied Economics Association.
  107. Xiangjun Wu & Juan Xu, 2021. "Drivers of food price in China: A heterogeneous panel SVAR approach," Agricultural Economics, International Association of Agricultural Economists, vol. 52(1), pages 67-79, January.
  108. Vitale, Jeffrey D. & Bessler, David A., 2006. "The 2004 Niger Food Crisis: What Role Can Price Discovery Play in Famine Early Warning Systems?," 2006 Annual meeting, July 23-26, Long Beach, CA 21316, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
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