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.
Similar content being viewed by others
References
Bruggemann, R, Carlsen, L (eds) (2006) Partial order in environmental sciences and chemistry. Springer, New York
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
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
Bubley R, Dyer M (1999) Faster random generation of linear extensions. Discrete Math 201(1–3): 81–88
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
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
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
Montgomery DR, Buffington John M (1997) Channel-reach morphology in mountain drainage basins. Geol Soc Am Bull 109(5): 596–611
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
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
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
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10651-010-0162-8