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Application of partial order to stream channel assessment at bridge infrastructure for mitigation management

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Abstract

Many environmental systems and infrastructure systems are monitored using a set of indicator values that assess several aspects of site condition. The values of different indicators often convey different comparative messages for the study sites. The comparability between sites is analyzed within the theory of partially-ordered sets and visualized with Hasse diagrams. This paper demonstrates that properties of partially-ordered sets and the conversion of indicator scores into a rank matrix provide a manager or decision-maker with valuable information that would be lost if the monitored indicator data were aggregated only into a single index. Stream stability assessment data from 49 bridge crossing sites in the United States are used to demonstrate these techniques in prioritization and identification of restoration and maintenance needs of stream channels at bridge crossings.

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References

  • Bruggemann, R, Carlsen, L (eds) (2006) Partial order in environmental sciences and chemistry. Springer, New York

    Google Scholar 

  • Bruggemann R, Sœrensen PB, Lerche D, Carlsen L (2004) Estimation of averaged ranks by a local partial order model. J Chem Inf Comput Sci 44: 618–625

    PubMed  Google Scholar 

  • Bruggemann R, Halfon E, Welzl G, Voigt K, Steinberg C (2001) Applying the concept of partially-ordered sets on the ranking of near-shore sediments by a battery of tests. J Chem Inf Comput Sci 41: 918–925

    CAS  PubMed  Google Scholar 

  • Bubley R, Dyer M (1999) Faster random generation of linear extensions. Discrete Math 201(1–3): 81–88

    Article  Google Scholar 

  • Federal Interagency Stream Restoration Working Group (FISRWG) (1998) Stream corridor restoration: principles, processes, and practices

  • Jackson SD (2003) Ecological considerations in the design of river and stream crossings. In: Irwin CL, Garrett P, McDermott KP (eds) Proceedings of the international conference on ecology and transportation. Center for Transportation and the Environment, North Carolina State University, Raleigh

  • Johnson PA (2005) Preliminary assessment and rating of stream channel stability near bridges. J Hydraul Eng 131(10): 845–852

    Article  Google Scholar 

  • Johnson PA (2006) Assessing stream channel stability of bridges in physiographic regions. FHWA-HRT-05-072. Federal Highway Administration, McLean

  • Lerche D, Sœrensen PB (2003) Evaluation of the ranking probabilities for partial orders based on random linear extensions. Chemosphere 53: 981–992

    Article  CAS  PubMed  Google Scholar 

  • Lerche D, Sœrensen PB, Bruggemann R (2003) Improved estimation of the ranking probabilities in partial orders using random linear extensions by approximation of the mutual ranking probability. J Chem Inf Comput Sci 43: 1471–1480

    CAS  PubMed  Google Scholar 

  • Montgomery DR, Buffington John M (1997) Channel-reach morphology in mountain drainage basins. Geol Soc Am Bull 109(5): 596–611

    Article  Google Scholar 

  • Myers WL, Patil GP, Cai Y (2006) Exploring patterns of habitat diversity across landscapes using partial ordering. In: Bruggemann R, Carlsen L (eds) Partial order in environmental sciences and chemistry. Springer, New York

    Google Scholar 

  • Newlin JT, Bhat KS (2007) Identification and prioritization of stream channel maintenance needs at bridge crossings. In: Proceedings of the international bridge conference, IBC 07-18, Pittsburgh

  • Patil GP, Taillie C (2004) Multiple indicators, partially-ordered sets, and linear extensions: Multi-criterion ranking and prioritization. Environ Ecol Stat 11: 199–228

    Article  Google Scholar 

  • Rosgen DL (1998) The reference reach—a blueprint for natural channel design. In: Proceedings of the wetlands and restoration conference. American Society of Civil Engineers, March, 1998, Denver, CO.

  • Voigt K, Welzl G, Bruggemann R (2004) Data analysis of environmental air pollutant monitoring systems in Europe. Environmetrics 15: 577–596

    Article  CAS  Google Scholar 

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Correspondence to Jessica T. Newlin.

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Newlin, J.T., Patil, G.P. Application of partial order to stream channel assessment at bridge infrastructure for mitigation management. Environ Ecol Stat 17, 437–454 (2010). https://doi.org/10.1007/s10651-010-0162-8

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  • DOI: https://doi.org/10.1007/s10651-010-0162-8

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