Date: 4 April, 2025

Dataset Title: Data and code for paper title "Expert elicitation and data noise learning for material flow analysis using Bayesian inference" 

Dataset Contact: jkliao@umich.edu

Dataset Creators:

Name: Jiayuan Dong
Email: jiayuand@umich.edu
Institution: University of Michigan Department of Mechanical Engineering
ORCID: 

Name: Jiankan Liao
Email: jkliao@umich.edu
Institution: University of Michigan Department of Mechanical Engineering
ORCID: https://orcid.org/0000-0001-8104-8388

Name: Xun Huan
Email: xhuan@umich.edu
Institution: University of Michigan Department of Mechanical Engineering
ORCID: https://orcid.org/0000-0001-6544-2764

Name: Daniel R Cooper
Email: drcooper@umich.edu
Institution: University of Michigan Department of Mechanical Engineering
ORCID: https://orcid.org/0000-0003-2903-0468

Funding: 
- National Science Foundation (NSF), under the Award Number 2040013

Nomenclature:

Key Points:
- The code supporting the paper "Expert elicitation and data noise learning for material flow analysis using Bayesian inference"

Research Overview:
We apply expert elicitation to assign informative prior to material flow analysis and conduct Bayesian inference for parameter and data noise learning.

Methodology:
We apply sequential Monte Carlo through the python pymc3 package to generate posterior samples to quantify MFA parametric uncertainty and data noise.

Instrument and/or Software specifications: python, pymc3 package for conducting Bayesian inference

Files contained here:
(1): Expert_Weighting.xlsx
- This speadsheet describes the weightings for expert intervieed for the elicitation

(2): inference.ipynb
-This file contains the code to conduct Bayesian inference to create the prior and posterior Sankey diagram in the manuscript

(3): Model-comparison.ipynb
-This file contains the code to perform Bayes factor estimation to select best performing model assumptions

(4): PDF_Fitting_Dirichlet.ipynb
-This file contains the code to fitg prior PDFs to the aggregated and weighted histograms from the experts

(5): Sankey_2012_data.xlsx
-This spreadsheet contains the underlying data used to construct the Sankey diagrams in Figures 5 and 6 of the article


Related publication(s): Dong, Jiayuan, Jiankan Liao, Xun Huan, and Daniel Cooper. "Expert elicitation and data noise learning for material flow analysis using Bayesian inference." Journal of Industrial Ecology 27, no. 4 (2023): 1105-1122.

Use and Access:
This data set is made available under an Attribution 4.0 International (CC BY 4.0).

To Cite Data:
Dong, Jiayuan, Jiankan Liao, Xun Huan, and Daniel Cooper. "Expert elicitation and data noise learning for material flow analysis using Bayesian inference." Journal of Industrial Ecology 27, no. 4 (2023): 1105-1122.