Abstract
-
While research on international joint ventures (IJVs) has intensified over the last few decades, numerous reviewers have criticized the field for lack of accumulation. We use meta-analytic techniques to quantitatively synthesize and evaluate agency theory and the behavioral perspective in their ability to explain IJV performance variance. Overall, we find support for these theories but moderator analyses unveil important effects of artifactual variables, and point to a unique character of IJVs in China.
-
Based on meta-analyses of 165 effect sizes from 61 independent samples and a total of 26,927 IJVs, the results offer overall support for a hypothesized path model grounded in agency theory and the behavioral perspective. However, only 19 percent of the variance in IJV performance is accounted for, indicating a need to explore other underexplored variables. We do not find evidence that hierarchical control is associated with partner conflict. Closer examination shows that for IJVs in China such control lowers partner conflict, while for IJVs in other countries it amplifies partner conflict. The effects of partner conflict on IJV performance are less harmful for Chinese joint ventures than for joint ventures in other countries. Furthermore, while objective measures of cultural distance show a weak positive effect on IJV performance, subjective measures show a negative effect.
Similar content being viewed by others
Notes
Extending the meta-analyses we have reported in this study in an effort to assess the influence of complementarity, we searched for all empirical studies that considered this variable. We found 8 studies that considered partner complementarity, representing 728 IJVs. Analyses did indicate a positive true score correlation between complementarity and IJV performance \((\bar r=0.2774),\) and a negative true score correlation between complementarity and hierarchical control \((\bar r=-0.1331).\) None of these studies considered the role of commitment or partner conflict.
References
Anand, J./Delios, A., Location Specificity and the Transferability of Downstream Assets to Foreign Subsidiaries, Journal of International Business Studies, 28, 3, 1997, pp. 579–584.
Anderson, E., Two Firms, one Frontier: On Assessing Joint Venture Performance, Sloan Management Review, 31, 2, 1990, pp. 19–30.
Anderson, E./Gatignon, H., Modes of Entry: A Transaction Cost Analysis and Propositions, Journal of International Business Studies, 17, 4, 1986, pp. 1–26.
Bagozzi, R. P./Yi, Y./Phillips, L. W., Assessing Construct Validity in Organizational Research, Administrative Science Quarterly, 36, 3, 1991, pp. 421–458.
Barden, J. Q./Steensma, H. K./Lyles, M. A., The Influence of Parent Control Structure on Partner Conflict in Vietnamese International Joint Ventures: An Organizational Justice-based Contingency Approach, Journal of International Business Studies, 36, 2, 2005, pp. 156–174.
Barkema, H. G. et al., Working Abroad, Working with Others: How Firms Learn to Operate International Joint Ventures, Academy of Management Journal, 40, 2, 1997, pp. 426–442.
Barkema, H. G./Vermeulen, F., What Differences in the Cultural Backgrounds of Partners are Detrimental for International Joint Ventures?, Journal of International Business Studies, 28, 4, 1997, pp. 845–864.
Beamish, P. W., Publishing International (Joint Venture) Research for Impact, Asia Pacific Journal of Management, 23, 1, 2006, pp. 29–46.
Beamish, P. W./Banks, J. C., Equity Joint Ventures and the Theory of the Multinational Enterprise, Journal of International Business Studies, 18, 2, 1987, pp. 1–16.
Beamish, P. W./Jung, J. C., The Performance and Survival of Joint Ventures with Parents of Asymmetric Size, Management International, 10, 1, 2005, pp. 19–30.
Beamish, P. W./Kachra, A., Number of Partners and JV Performance, Journal of World Business, 39, 2, 2004, pp. 107–120.
Beamish, P. W./Killing, J. P., Cooperative Strategies: Asian Pacific Perspectives, San Francisco, California: The New Lexington Press 1997.
Beamish, P. W./Killing, P., Special Issue on International Joint Ventures, Journal of International Business Studies, 27, 5, 1996, pp. I–VII.
Bentler, P. M./Bonett, D. G., Significance Tests and Goodness of Fit in the Analysis of Covariance Structures, Psychological Bulletin, 88, 3, 1980, pp. 588–606.
Boisot, M./Child, J., From Fiefs to Clans and Network Capitalism: Explaining China’s Emerging Economic Order, Administrative Science Quarterly, 41, 4, 1996, pp. 600–628.
Bollen, K. A., Structural Equations with Latent Variables, New York: Wiley 1989.
Boyacigiller, N. A./Adler, N. J., The Parochial Dinosaur: Organizational Science in a Global Context, Academy of Management Review, 16, 2, 1991, pp. 262–290.
Child, J., A Configurational Analysis of International Joint Ventures, Organization Studies, 23, 5, 2002, pp. 781–815.
Child, J./Yan, Y., National and Transnational Effects in International Business: Indications from Sino-foreign Joint Ventures, Management International Review, 41, 1, 2001, pp. 53–75.
Contractor, F. J., Ownership Patterns of U.S. Joint Ventures Abroad and the Liberalization of Foreign Government Regulations in the 1980s: Evidence from the Benchmark Surveys, Journal of International Business Studies, 21, 1, 1990, pp. 55–73.
Cook, T. D. et al., Meta-analysis for Explanation: A Casebook, New York: Russel Sage 1992.
Cooper, H., Synthesizing Research: A Guide for Literature Reviews, Thousand Oaks, California: Sage 1998.
Cullen, J. B./Johnson, J. L./Sakano, T., Japanese and Local Partner Commitment to IJVs: Psychological Consequences of Outcome and Investments in the IJV Relationship, Journal of International Business Studies, 26, 1, 1995, pp. 91–115.
Cullen, J. B./Johnson, J. L./Sakano, T., Success through Commitment and Trust: The Soft Side of Strategic Alliance Management, Journal of World Business, 35, 3, 2000, pp. 223–240.
Damanpour, F., Organizational Innovation: A Meta-analysis of Effects of Determinants and Moderators, Academy of Management Journal, 34, 3, 1991, pp. 555–590.
Delios, A./Beamish, P. W., Joint Venture Performance Revisited: Japanese Foreign Subsidiaries Worldwide, Management International Review, 44, 1, 2004, pp. 55–68.
Dhanaraj, C./Beamish, P. W., Effect of Equity Ownership on the Survival of International Joint Ventures, Strategic Management Journal 25, 3, 2004, pp. 295–305.
Ding, D. Z., Control, Conflict, and Performance: A Study of U.S.-Chinese Joint Ventures, Journal of International Marketing, 5, 3, 1997, pp. 31–45.
Doz, Y. L., The Evolution of Cooperation in Strategic Alliances: Initial Conditions or Learning Processes?, Strategic Management Journal,17, Special Issue, 1996, pp. 55–83.
Duan, J./Juma, N., Inter-partner Credible Threat and the Survival of U.S.-China Joint Ventures, Journal of Business Strategies, 24, 1, 2007, pp. 91–104.
Eisenhardt, K. M./Schoonhoven, C. B., Resource-based View of Strategic Alliance Formation: Strategic and Social Effects in Entrepreneurial Firm, Organization Science, 7, 2, 1996, pp. 136–150.
Eroglu, D./Yavas, U., Determinants of Satisfaction with Partnership in International Joint Ventures: A Channels Perspective, Journal of Marketing Channels, 5, 2, 1996, pp. 136–150.
Fey, C. F./Beamish, P W., Joint Venture Conflict: The Case of Russian International Joint Ventures, International Business Review, 9, 2, 2000, pp. 139–162.
Fey, C. F./Beamish, P. W., Organizational Climate Similarity and Performance: International Joint Ventures in Russia, Organization Studies, 22, 5, 2001, pp. 853–883.
Franko, L. G., Joint Venture Survival in Multinational Cooperations, New York: Praeger 1971.
Friedman, W. G./Kalmanoff, G., Joint International Business Ventures, New York: Columbia University Press 1961.
Fryxell, G. E./Dooley, R. S./Vryza, M., After the Ink Dries: The Interaction of Trust and Control in US-based International Joint Ventures, Journal of Management Studies, 39, 6, 2002, pp. 865–886.
Geringer, J. M., Assessing Replication and Extension: A Commentary on Glaister and Buckley: Measures of Performance in UK International Alliances, Organization Studies, 19, 1, 1998, pp. 119–139.
Geringer, J. M./Hebert, L., Control and Performance of International Joint Ventures, Journal of International Business Studies, 20, 2, 1989, pp. 235–254.
Gong, Y. et al., Role Conflict and Ambiguity of CEOs in International Joint Ventures: A Transaction Cost Perspective, Journal of Applied Psychology, 86, 4, 2001, pp. 764–773.
Gong, Y. et al., Human Resources and International Joint Venture Performance: A System Perspective, Journal of International Business Studies, 36, 5, 2005, pp. 505–518.
Gong, Y. et al., Do Multiple Parents Help or Hinder International Joint Venture Performance? The Mediating Roles of Contract Completeness and Partner Cooperation, Strategic Management Journal, 28, 10, 2007, pp. 1021–1034.
Habib, G. M., Measures of Manifest Conflict in International Joint Ventures, Academy of Management Journal, 30, 4, 1987, pp. 808–816.
Habib, G. M./Burnett, J. J., An Assessment of Channel Behaviour in an Alternative Structural Arrangement: The International Joint Venture, International Marketing Review, 6, 3, 1989, pp. 7–21.
Harrigan, K. R., Strategic Alliances and Partner Asymmetries, Management International Review, 28, Special Issue, 1988, pp. 53–71.
Hebert, L., A Path Model of the Control-performance Relationship in International Joint Ventures, Management International, 1, 1, 1996, pp. 27–39.
Hedges, L. V./Olkin, I., Statistical Methods for Meta-Analysis, New York: Academic Press 1985.
Hennart, J.-F., A Transaction Cost Theory of Equity Joint Ventures, Strategic Management Journal, 9, 4, 1988, pp. 361–374.
Hennart, J.-F./Zeng, M., Cross-cultural Differences and Joint Venture Longevity, Journal of International Business Studies, 33, 4, 2002, pp. 699–716.
Hofstede, G., Culture’s Consequences: International Differences in Work-related Values, Beverly Hills: Sage 1980.
Hofstede, G., The Cultural Relativity of Organizational Practices and Theories, Journal of International Business Studies, 14, 4, 1983, pp. 75–89.
Hofstede, G., An American in Paris: The Influence of Nationality on Organization Theories, Organization Studies, 17, 3, 1996, pp. 525–538.
Hofstede, G., Culture’s Consequences: Comparing Values, Behaviors, Institutions, and Organizations across Nations, 2nd ed., Thousand Oaks, California: Sage Publications 2001.
Hofstede, G./Bond, M. H., The Confucian Connection: From Cultural Roots to Economic Growth, Organizational Dynamics, 16, 4, 1988, pp. 5–21.
House, R. J. et al., Culture, Leadership, and Organizations, Thousand Oaks, California: Sage Publications 2004.
Hunter, J. E./Schmidt, F. L., Methods of Meta-analysis: Correcting Error and Bias in Research Findings, Thousand Oaks, California: Sage 1990.
Hunter, J. E./Schmidt, F. L., Methods of Meta-analysis: Correcting Error and Bias in Research Findings, 2nd ed., Thousand Oaks, California: Sage 2004.
Johnson, J. L. et al., Drivers and Outcomes of Parent Company Intervention in IJV Management: A Cross-cultural Comparison, Journal of Business Research, 52, 1, 2001, pp. 35–49.
Jöreskog, K. G./Sörbom, D., LISREL 8: User’s Reference Guide, Lincolnwood, Illinois: Scientific Software International, Inc 2001.
Kaufmann, J. B./O’Neill, H. M., Do Culturally Distant Partners Choose Different Types of Joint Ventures?, Journal of World Business, 42, 4, 2007, pp. 435–448.
Ketchen, D. J. J. et al., Organizational Configurations and Performance: A Meta-analysis, Academy of Management Journal, 40, 1997, pp. 223–240.
Killing, J. P., Strategies for Joint Venture Success, New York: Praeger 1983.
Kogut, B./Singh, H., The Effect of National Culture on the Choice of Entry Mode, Journal of International Business Studies, 19, 4, 1988, pp. 411–432.
Lane, H. W./Beamish, P. W., Cross-cultural Cooperative Behavior in Joint Ventures in LDCs, Management International Review, 30, Special Issue, 1990, pp. 87–102.
Lane, P. J./Salk, J./Lyles, M. A., Absorptive Capacity, Learning, and Performance in International Joint Ventures, Strategic Management Journal, 22, 2001, pp. 1139–1161.
Larsson, R., Case Survey Methodology: Quantitative Analysis of Patterns across Case Studies, Academy of Management Journal, 36, 6, 1993, pp. 1515–1546.
Lee, C./Beamish, P. W., The Characteristics and Performance of Korean Joint Ventures in LDCs, Journal of International Business Studies, 26, 3, 1995, pp. 637–655.
Lenartowicz, T./Roth, K., A Framework for Culture Assessment, Journal of International Business Studies, 30, 4, 1999, pp. 781–798.
Lewicki, R. J./McAllister, D. J./Bies, R. J., Trust and Distrust: New Relationships and Realities, Academy of Management Review, 23, 3, 1998, pp. 438–458.
Li, X., Control in Japanese-Chinese Joint Ventures: Antecedent Factors and Effect on Performance from the Japanese Viewpoint, Asian Business & Management, 2, 3, 2003, pp. 371–391.
Li, J. J. et al., Active Trust Development of Local Senior Managers in International Subsidiaries, Journal of Business Research, 59, 1, 2006, pp. 73–80.
Lin, X., Local Partner Acquisition of Managerial Knowledge in International Joint Ventures: Focusing on Foreign Management Control, Management International Review, 45, 2, 2005, pp. 219–238.
Lin, X./Germain, R., Sustaining Satisfactory Joint Venture Relationships: The Role of Conflict Resolution Strategy, Journal of International Business Studies, 29, 1, 1998, pp. 179–196.
Lin, X./Germain, R., Predicting International Joint Venture Interaction Frequency in U.S.-Chinese Ventures, Journal of International Marketing, 7, 2, 1999, pp. 5–23.
Lu, J. W./Hebert, L., Equity Control and the Survival of International Joint Ventures: A Contingency Approach, Journal of Business Research, 58, 6, 2005, pp. 736–745.
Lu, L.-T., Conflict Resolution Strategy between Foreign and Local Partners in Joint Ventures in China, Journal of American Academy of Business, 8, 1, 2006, pp. 236–240.
Lu, L.-T., The Effect of Cultural Similarity on International Joint Ventures: An Empirical Study, International Journal of Management, 24, 2, 2007, pp. 230–241.
Luo, Y., Multinational Corporations in China, Copenhagen: Copenhagen Business School Press 2000.
Luo, Y., Building Trust in Cross-cultural Collaborations: Toward a Contingency Perspective, Journal of Management, 28, 5, 2002a, pp. 669–694.
Luo, Y., Contract, Cooperation, and Performance in International Joint Ventures, Strategic Management Journal, 23, 10, 2002b, pp. 903–919.
Luo, Y., Product Diversification in International Joint Ventures: Performance Implications in an Emerging Market, Strategic Management Journal, 23, 1, 2002c, pp. 1–20.
Luo, Y., Stimulating Exchange in International Joint Ventures: An Attachment-based View, Journal of International Business Studies, 33, 1, 2002d, pp. 169–181.
Luo, Y., Toward the Micro- and Macro-level Consequences of Interactional Justice in Cross-cultural Joint Ventures, Human Relations, 59, 8, 2006, pp. 1019–1047.
Luo, Y./Park, S. H., Multiparty Cooperation and Performance in International Equity Joint Ventures, Journal of International Business Studies, 35, 2, 2004, pp. 142–160.
Luo, Y./Shenkar, O., An Empirical Inquiry of Negotiation Effects in Cross-cultural Joint Ventures, Journal of International Management, 8, 2002, pp. 141–162.
Luo, Y. D., Private Control and Collective Control in International Joint Ventures, Management International Review, 47, 4, 2007, pp. 531–566.
Lyles, M. A./Baird, I. S., Performance of International Joint Ventures in two Eastern European Countries: The Case of Hungary and Poland, Management International Review, 34, 4, 1994, pp. 313–329.
Lyles, M. A./Salk, J. E., Knowledge Acquisition from Foreign Parents in International Joint Ventures: An Empirical Examination in the Hungarian Context, Journal of International Business Studies, 27, 5, 1996, pp. 877–903.
Makino, S. et al., Intended and Unintended Termination of International Joint Ventures, Strategic Management Journal, 28, 11, 2007, pp. 1113–1132.
March, H. W./Hocevar, D., Application of Confirmatory Factor Analysis of the Study of Self-concept: First and Higher Order Factor Models and their Invariance across Groups, Psychological Bulletin, 97, 3, 1985, pp. 562–582.
Medsker, G. J./Williams, L. J./Holahan, P. J., A Review of Current Practices for Evaluating Causal Models in Organizational Behavior and Human Resource Management Research, Journal of Management, 20, 2, 1994, pp. 439–464.
Merchant, H., Shareholder Value Creation via International Joint Ventures: Some Additional Explanations, Management International Review, 42, 1, 2002, pp. 49–69.
Merchant, H., The Structure-performance Relationship in International Joint Ventures: A Comparative Analysis, Journal of World Business, 40, 1, 2005, pp. 41–56.
Merchant, H./Schendel, D., How Do International Joint Ventures Create Shareholder Value?, Strategic Management Journal, 21, 2000, pp. 723–737.
Meschi, P.-X./Cheng, L. T. W., Do Sino–foreign Joint Ventures Create Shareholder Value for Chinese Partners?, International Journal of Business, 12, 3, 2007, pp. 325–341.
Meschi, P.-X./Roger, A., Cultural Context and Social Effectiveness in International Joint Ventures, Management International Review, 34, 3, 1994, pp. 197–215.
Mjoen, H./Tallman, S., Control and Performance in International Joint Ventures, Organization Science, 8, 3, 1997, pp. 257–274.
Mohr, A. T./Puck, J. F., Asymmetries in Partner Firms’ Perception of Key Variables and the Performance of International Joint Ventures, Bradford University School of Management, Working Paper Series, 03, 35, 2003, pp. 2–19.
Newburry, W./Zeira, Y., Autonomy and Effectiveness of Equity International Joint Ventures (EIJV’s): An Analysis Based on EIJV’s in Hungary and Britain, Journal of Management Studies, 36, 2, 1999, pp. 263–283.
Pak, Y. S./Park, Y.-R., A Framework of Knowledge Transfer in Cross-border Joint Ventures: An Empirical Test of the Korean Context, Management International Review, 44, 4, 2004, pp. 417–435.
Pangarkar, N./Klein, S., The Impact of Control on International Joint Venture Performance: A Contingency Approach, Journal of International Marketing, 12, 3, 2004, pp. 86–107.
Pangarkar, N./Lee, H., Joint Ventures Strategies and Success: An Empirical Study of Singapore Firms, Journal of Asian Business, 17, 3, 2001, pp. 1–13.
Park, J.-H./Ungson, G. R., Interfirm Rivalry and Managerial Complexity: A Conceptual Framework of Alliance Failure, Organization Science, 12, 1, 2001, pp. 37–53.
Park, S. H./Ungson, G. R., The Effect of National Culture, Organizational Complementarity, and Economic Motivation on Joint Venture Dissolution, Academy of Management Journal, 40, 2, 1997, pp. 279–307.
Parkhe, A., Interfirm Diversity, Organizational Learning, and Longevity in Global Strategic Alliances, Journal of International Business Studies, 22, 4, 1991, pp. 579–601.
Parkhe, A., Messy Research, Methodological Predispositions, and Theory Development in International Joint Ventures, Academy of Management Review, 18, 2, 1993, pp. 227–268.
Pondy, L., Organizational Conflict: Concepts and Models, Administrative Science Quarterly, 12, 2, 1967, pp. 296–320.
Pothukuchi, V. et al., National and Organizational Culture Differences and International Joint Venture Performance, Journal of International Business Studies, 33, 2, 2002, pp. 243–265.
Premack, S. L./Hunter, J. E., Individual Unionization Decisions, Psychological Bulletin, 103, 2, 1988, pp. 223–234.
Reuer, J. J., From Hybrids to Hierarchies: Shareholder Wealth Effects of Joint Venture Partner Buyouts, Strategic Management Journal, 22, 1, 2001, pp. 27–44.
Reuer, J. J., Incremental Corporate Reconfiguration through International Joint Venture Buyouts and Selloffs, Management International Review, 42, 3, 2002, pp. 237–260.
Reuer, J. J./Miller, K. D., Agency Costs and the Performance Implications of International Joint Venture Internationalization, Strategic Management Journal, 18, 6, 1997, pp. 425–438.
Reus, T. H./Ritchie, W. J., III., 15 Years of Research on International Joint Ventures, Management International Review, 44, 4, 2004, pp. 369–395.
Robson, M. J./Leonidou, L. C./Katsikeas, C. S., Factors Influencing International Joint Venture Performance: Theoretical Perspectives, Assessment, and Future Directions, Management International Review, 42, 4, 2002, pp. 385–419.
Sales, A. L./Mirvis, P. H., When Cultures Collide: Issues of Acquisition, in Kimberley, J. R. R./Quinn, R. E. (eds.), Managing Organizational Transitions, Homewood, Illinois: Irwin 1984.
Selekler-Göksen, N. N./Uysal-Tezölmez, S. H., Control and Performance in International Joint Ventures in Turkey, European Management Journal, 25, 5, 2007, pp. 384–394.
Shenkar, O., Cultural Distance Revisited: Towards a more Rigorous Conceptualization and Measurement of Cultural Differences, Journal of International Business Studies, 32, 3, 2001, pp. 519–535.
Shenkar, O./Von Glinow, M. A., Paradoxes of Organizational Theory and Research: Using the Case of China to Illustrate National Contingency, Management Science, 40, 1, 1994, pp. 56–71.
Sim, A. B./Ali, Y., Performance of International Joint Ventures from Developing and Developed Countries: An Empirical Study in a Developing Country Context, Journal of World Business, 33, 4, 1998, pp. 357–377.
Steensma, H. K./Lyles, M. A., Explaining IJV Survival in a Transitional Economy through Social Exchange and Knowledge-based Perspectives, Strategic Management Journal, 21, 8, 2000, pp. 831–851.
Tomlinson, J. W. C., The Joint Venture Process in International Business: India and Pakistan, Cambridge, Massachusetts: MIT Press 1970.
Wang, P./Wee, C. H./Koh, P. H., Establishing a Successful Sino-foreign Equity Joint Venture: The Singapore Experience, Journal of World Business, 34, 3, 1999, pp. 287–305.
Xu, D./Lu, J. W., Technological Knowledge, Product Relatedness, and Parent Control: The Effect on IJV Survival, Journal of Business Research, 60, 11, 2007, pp. 1166–1176.
Xu, D./ Pan, Y./Beamish, P. W., The Effect of Regulative and Normative Distances on MNE Ownership and Expatriate Strategies, Management International Review, 44, 3, 2004, pp. 285–307.
Xu, D./Shenkar, O., Institutional Distance and the Multinational Enterprise, Academy of Management Review, 27, 4, 2002, pp. 608–618.
Yan, A./Gray, B., Negotiating Control and Achieving Performance in International Joint Ventures: A Conceptual Model, Journal of International Management, 7, 4, 2001, pp. 295–315.
Yan, A./Zeng, M., International Joint Venture Instability: A Critique of Previous Research, a Reconceptualization, and Directions for Future Research, Journal of International Business Studies, 30, 2, 1999, pp. 397–414.
Yau-fai Ho, D., On the Concept of Face, American Journal of Sociology, 81, 4, 1976, pp. 867–884.
Zeira, Y./Newburry, W./Yeheskel, O., Factors Affecting the Effectiveness of Equity International Joint Ventures (EIJVs) in Hungary, Management International Review, 37, 3, 1997, pp. 259–279.
Zhang, Y. et al., R&D Intensity and International Joint Venture Performance in an Emerging Market: Moderating Effects of Market Focus and Ownership Structure, Journal of International Business Studies, 38, 6, 2007, pp. 944–960.
Zhao, H./Luo, Y./Suh, T., Transaction Cost Determinants and Ownership-based Entry Mode Choice: A Meta-analytical Review, Journal of International Business Studies, 35, 6, 2004, pp. 524–544.
Acknowledgements
We greatly appreciate valuable suggestions provided by David Ketchen, Jack Fiorito, Jim Combs and Russell Crook. We also would like to acknowledge the insightful comments we received during a paper session at the 2006 Annual Meeting of the Academy of International Business in Beijing, China, and during a presentation session with our colleagues at Florida Atlantic University.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Reus, T., Rottig, D. Meta-analyses of International Joint Venture Performance Determinants. Manag Int Rev 49, 607–640 (2009). https://doi.org/10.1007/s11575-009-0009-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11575-009-0009-4