Handbook of Regional Science pp 1-27 | Cite as

# Interregional Input-Output Models

## Abstract

This chapter presents and critically evaluates the economic assumptions and applicability of a series of regional and interregional interindustry models. It begins with the demand-driven, single-region Leontief quantity model and its cost-push price dual. Then Sect. 4 discusses the ideal, full information, interregional input-output model with interregional spillover and feedback effects at length, and compares it with the requirements and assumptions of more limited information, multi-regional input-output models. Section 5 discusses how to construct and add an interregional consumption function to obtain the Type II interregional interindustry model. Section 6 outlines further extensions, all through to the most complex price-quantity interacting interregional demo-economic model LINE. Finally, an Appendix presents a micro-economic foundation for the Leontief model, and compares it with the alternative supply-driven quantity model and its demand-pull price dual.

## Keywords

Input-output table Leontief model Cost-push price model Interregional input-output model Interregional spillovers and feedbacks Type II multipliers Demo-economic models Ghosh model Demand-pull price model## Notes

### Acknowledgements

The authors thank the editors, Piet Rietveld and Manfred Fischer, and Dirk Stelder for useful comments.

## References

- Batey PWJ (1985) Input-output models for regional demographic-economic analysis: some structural comparisons. Environ Plan A 17(1):77–93CrossRefGoogle Scholar
- Batten DF, Boyce DE (1986) Spatial interaction, transportation and interregional commodity flow models. In: Mills ES, Nijkamp P (eds) Handbook in Urban and regional economics. North Holland, Amsterdam, pp 295–355Google Scholar
- Bouwmeester MC, Oosterhaven J, Rueda-Cantuche JM (2014) A new SUT consolidation method tested by a decomposition of value added and CO
_{2}embodied in EU27 exports. Econ Syst Res 26(4):511–541CrossRefGoogle Scholar - Chenery HB (1953) Regional analysis. In: Chenery HB, Clark PG, Vera VC (eds) The structure and growth of the Italian economy. U.S. Mutual Security Agency, Rome, pp 97–129Google Scholar
- de Mesnard L (2009) Is the Ghosh model interesting? J Reg Sci 49(2):361–372CrossRefGoogle Scholar
- Dietzenbacher E (1997) In vindication of the Ghosh model: a reinterpretation as a price model. J Reg Sci 37(4):629–651CrossRefGoogle Scholar
- Ghosh A (1958) Input-output approach in an allocation system. Economica 25(4):58–64CrossRefGoogle Scholar
- Isard W (1951) Interregional and regional input-output analysis: a model of the space economy. Rev Econ Stat 33(4):318–328CrossRefGoogle Scholar
- Jackson RW (1998) Regionalizing national commodity-by-industry accounts. Econ Syst Res 10(3):223–238CrossRefGoogle Scholar
- Leontief W (1936) Quantitative input and output relations in the economic system of the United States. Rev Econ Stat 18(3):105–125CrossRefGoogle Scholar
- Leontief W (1951) The structure of the American economy, 1919–1939, 2nd edn. Oxford University Press, New YorkGoogle Scholar
- Leontief W, Strout A (1963) Multiregional input-output analysis. In: Barna T (ed) Structural interdependence and economic development. Macmillan, London, pp 119–149CrossRefGoogle Scholar
- Madsen B, Jensen-Butler C (2004) Theoretical and operational issues in sub-regional economic modelling, illustrated through the development and application of the LINE model. Econ Model 21(3):471–508CrossRefGoogle Scholar
- Miller RE, Blair PD (2009) Input-output analysis. Cambridge University Press, CambridgeCrossRefGoogle Scholar
- Moses LN (1955) The stability of interregional trading pattern and input-output analysis. Am Econ Rev 45(5):803–832Google Scholar
- Oosterhaven J (1981a) Export stagnation and import price inflation in an interregional input-output model. In: Buhr W, Friedrich P (eds) Regional development under stagnation. Nomos-Verlag, Baden-Baden, pp 124–148Google Scholar
- Oosterhaven J (1981b) Interregional input-output analysis and Dutch regional policy problems. Aldershot, GowerGoogle Scholar
- Oosterhaven J (1984) A family of square and rectangular interregional input-output tables and models. Reg Sci Urban Econ 14(4):565–582CrossRefGoogle Scholar
- Oosterhaven J (1996) Leontief versus Ghoshian price and quantity models. South Econ J 62(3):750–759CrossRefGoogle Scholar
- Oosterhaven J (2000) Lessons from the debate on Coleʼs model closure. Pap Reg Sci 79(2):233–242CrossRefGoogle Scholar
- Pyatt G, Round JI (1979) Accounting and fixed price multipliers in a social accounting matrix framework. Econ J 89(4):850–873CrossRefGoogle Scholar
- Riefler R, Tiebout CM (1970) Interregional input-output: an empirical California-Washington model. J Reg Sci 10(2):135–152CrossRefGoogle Scholar
- Stelder TM, Oosterhaven J, Eding GJ (2000) Interregional input-output software, IRIOS 1.0 Manual. University of Groningen. https://www.rug.nl/research/reg/research/irios/
- Stevens BH, Trainer GA (1980) Error generation in regional input-output analysis and its implications for nonsurvey models. In: Pleeter SP (ed) Economic impact analysis: methodology and applications. Martinus Nijhoff, Boston, pp 68–84CrossRefGoogle Scholar
- ten Raa T, Rueda-Cantuche JM (2003) The construction of input-output coefficients matrices in an axiomatic context: some further considerations. Econ Syst Res 15(4):441–455Google Scholar
- van Dijk J, Oosterhaven J (1986) Regional impacts of migrants’ expenditures: an input-output/vacancy-chain approach. In: Batey PWJ, Madden M (eds) Integrated analysis of regional systems. Pion, London, pp 122–147Google Scholar
- Wilson AG (1970) Entropy in urban and regional modelling. Pion, LondonGoogle Scholar