An extension of the block spacial path approach to analysis of the influence of intra and interregional trade on multiplier effects in general interregional input-output models
In a number of recent papers Sonis, Hewings and coworkers have extended spacial path analysis to a block structural context capable of analysing the relationship between direct blocks of influence, such as intra and interregional trade coefficients or demographic-economic interactions, and full model multipliers. The approach makes use of a definition of the direct coefficients block partitioned matrix in terms of simpler matrices each of which is made up of null blocks except for one block column. In the current paper, the underlying technique is extended by making use of an even simpler matrix construction - an "almost null" matrix, defined as null in all partitioned blocks except one. An arbitrary n x n block partitioned direct coefficients matrix can be represented as a sum of n-squared almost null matrices. Properties of almost null matrices are exploited to enable analytically manageable expressions for the Leontief inverse to be written entirely in terms of the almost null matrices making up the direct coefficients matrix. Additive and multiplicative representations in terms of groupings of almost null matrices are provided.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Defourny, Jacques & Thorbecke, Erik, 1984. "Structural Path Analysis and Multiplier Decomposition within a Social Accounting Matrix Framework," Economic Journal, Royal Economic Society, vol. 94(373), pages 111-136, March.
- Pyatt, F Graham & Round, Jeffery I, 1979. "Accounting and Fixed Price Multipliers in a Social Accounting Matrix Framework," Economic Journal, Royal Economic Society, vol. 89(356), pages 850-873, December.
- Round, Jeffrey I, 1985. "Decomposing Multipliers for Economic Systems Involving Regional and World Trade," Economic Journal, Royal Economic Society, vol. 95(378), pages 383-399, June.
When requesting a correction, please mention this item's handle: RePEc:wiw:wiwrsa:ersa98p424. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gunther Maier)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.