### Abstract

A general analytical model of materials flow analysis (MFA) incorporating physical waste input-output is proposed that is fully consistent with the mass balance principle. Exploiting the triangular nature of the matrix of input coefficients, which is obtained by rearranging the ordering of sectors according to degrees of fabrication, the material composition matrix is derived, which gives the material composition of products. A formal mathematical definition of materials (or the objects, the flow of which is to be accounted for by MFA) is also introduced, which excludes the occurrence of double accounting in economy-wide MFAs involving diverse inputs. By using the model, monetary input-output (IO) tables can easily be converted into a physical material flow account (or physical input-output tables [PIOT]) of an arbitrary number of materials, and the material composition of a product can be decomposed into its input origin. The first point represents substantial saving in the otherwise prohibitive cost that is associated with independent compilation of PIOT. The proposed methodology is applied to Japanese IO data for the flow of 11 base metals and their scrap (available as e-supplement on the JIE Web site).

Original language | English |
---|---|

Pages (from-to) | 50-63 |

Number of pages | 14 |

Journal | Journal of Industrial Ecology |

Volume | 11 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2007 Sep |

### Fingerprint

### Keywords

- Double counting
- Industrial ecology
- Input-output analysis
- Material composition
- Physical input-output tables (PIOT)
- Triangularity

### ASJC Scopus subject areas

- Environmental Science(all)
- Ecology
- Ecology, Evolution, Behavior and Systematics

### Cite this

*Journal of Industrial Ecology*,

*11*(4), 50-63. https://doi.org/10.1162/jiec.2007.1290

**The waste input-output approach to materials flow analysis : Concepts and application to base metals.** / Nakamura, Shinichiro; Nakajima, Kenichi; Kondo, Yasushi; Nagasaka, Tetsuya.

Research output: Contribution to journal › Article

*Journal of Industrial Ecology*, vol. 11, no. 4, pp. 50-63. https://doi.org/10.1162/jiec.2007.1290

}

TY - JOUR

T1 - The waste input-output approach to materials flow analysis

T2 - Concepts and application to base metals

AU - Nakamura, Shinichiro

AU - Nakajima, Kenichi

AU - Kondo, Yasushi

AU - Nagasaka, Tetsuya

PY - 2007/9

Y1 - 2007/9

N2 - A general analytical model of materials flow analysis (MFA) incorporating physical waste input-output is proposed that is fully consistent with the mass balance principle. Exploiting the triangular nature of the matrix of input coefficients, which is obtained by rearranging the ordering of sectors according to degrees of fabrication, the material composition matrix is derived, which gives the material composition of products. A formal mathematical definition of materials (or the objects, the flow of which is to be accounted for by MFA) is also introduced, which excludes the occurrence of double accounting in economy-wide MFAs involving diverse inputs. By using the model, monetary input-output (IO) tables can easily be converted into a physical material flow account (or physical input-output tables [PIOT]) of an arbitrary number of materials, and the material composition of a product can be decomposed into its input origin. The first point represents substantial saving in the otherwise prohibitive cost that is associated with independent compilation of PIOT. The proposed methodology is applied to Japanese IO data for the flow of 11 base metals and their scrap (available as e-supplement on the JIE Web site).

AB - A general analytical model of materials flow analysis (MFA) incorporating physical waste input-output is proposed that is fully consistent with the mass balance principle. Exploiting the triangular nature of the matrix of input coefficients, which is obtained by rearranging the ordering of sectors according to degrees of fabrication, the material composition matrix is derived, which gives the material composition of products. A formal mathematical definition of materials (or the objects, the flow of which is to be accounted for by MFA) is also introduced, which excludes the occurrence of double accounting in economy-wide MFAs involving diverse inputs. By using the model, monetary input-output (IO) tables can easily be converted into a physical material flow account (or physical input-output tables [PIOT]) of an arbitrary number of materials, and the material composition of a product can be decomposed into its input origin. The first point represents substantial saving in the otherwise prohibitive cost that is associated with independent compilation of PIOT. The proposed methodology is applied to Japanese IO data for the flow of 11 base metals and their scrap (available as e-supplement on the JIE Web site).

KW - Double counting

KW - Industrial ecology

KW - Input-output analysis

KW - Material composition

KW - Physical input-output tables (PIOT)

KW - Triangularity

UR - http://www.scopus.com/inward/record.url?scp=36849002824&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36849002824&partnerID=8YFLogxK

U2 - 10.1162/jiec.2007.1290

DO - 10.1162/jiec.2007.1290

M3 - Article

AN - SCOPUS:36849002824

VL - 11

SP - 50

EP - 63

JO - Journal of Industrial Ecology

JF - Journal of Industrial Ecology

SN - 1088-1980

IS - 4

ER -