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May 3, 20260 citations

Unveiling Latent Interaction Patterns of Heavy Metals in Soils Using Bayesian Network Structure Learning: Study from Industrial Region in Central China.

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SLShan LiuYLYanni LiCZChanglin Zhan

Key Points

  • The aim is to identify interaction patterns among heavy metals in soils using Bayesian network structure learning.
  • Utilized BDeu scoring with bootstrap validation to detect interaction edges.
  • Analyzed spatial variability in an industrial region of Central China.
  • Identified functional clusters and pathways driving multi-metal interactions.
  • Detected eight high-confidence edges forming two dominant pathways: Fe → Cr → Co → Pb/Cu and Mn → Co → Pb/Cu.
  • Found that 55% of industrial samples and 27% of residential samples activated over 5 transmission chains simultaneously.
  • Identified point-source contamination of As and Zn which remained structurally isolated.

Abstract

) showed marked spatial variability across the study area. Using BDeu scoring with bootstrap validation, eight high-confidence edges were detected, forming two dominant pathways: Fe → Cr → Co → Pb/Cu and Mn → Co → Pb/Cu, respectively. These pathways indicate that redox-sensitive elements organize multi-metal interaction structures by regulating upstream transmission processes, which govern downstream accumulation patterns. The results differentiate metals that primarily drive propagation from those that act as convergence endpoints, revealing an interaction hierarchy that cannot be captured by enrichment or correlation analysis alone. Two functional clusters were further identified: a process-driven transmission group (Cr, Fe, Co, Sb) and a heterogeneous convergence group (Ni, Cu, Mn, Pb, As, Zn). Despite significant enrichment, As and Zn remained structurally isolated, indicating point-source contamination. Multi-pathway convergence analysis revealed that 55% of industrial samples and 27% of residential samples activated over 5 transmission chains simultaneously, forming hotspots with cumulative mobilization risk. Findings demonstrate BN-inferred directional dependencies provide mechanistic intelligence for prioritizing upstream control of high-centrality nodes, offering a robust framework for risk assessment and targeted remediation in complex contaminated landscapes.

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Cite This Study

Liu et al. (2026) studied this question.

synapsesocial.com/papers/69f6e5f38071d4f1bdfc6963https://doi.org/10.1016/j.envpol.2026.128216
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