TY - JOUR
T1 - Entropy and generalized least square methods in assessment of the regional value of streamgages
AU - Markus, Momcilo
AU - Vernon Knapp, H.
AU - Tasker, Gary D.
N1 - Funding Information:
This material is based upon work supported by the Illinois Department of Natural Resources, Office of Water Resources (OWR), under Award No. 09911S99-273. Arlan Juhl, OWR, served as project manager. We would also like to acknowledge the valuable advice of Wilbert O. Thomas, Michael Baker Corporation, Alexandria, Virginia.
PY - 2003/12/10
Y1 - 2003/12/10
N2 - The Illinois State Water Survey performed a study to assess the streamgaging network in the State of Illinois. One of the important aspects of the study was to assess the regional value of each station through an assessment of the information transfer among gaging records for low, average, and high flow conditions. This analysis was performed for the main hydrologic regions in the State, and the stations were initially evaluated using a new approach based on entropy analysis. To determine the regional value of each station within a region, several information parameters, including total net information, were defined based on entropy. Stations were ranked based on the total net information. For comparison, the regional value of the same stations was assessed using the generalized least square regression (GLS) method, developed by the US Geological Survey. Finally, a hybrid combination of GLS and entropy was created by including a function of the negative net information as a penalty function in the GLS. The weights of the combined model were determined to maximize the average correlation with the results of GLS and entropy. The entropy and GLS methods were evaluated using the high-flow data from southern Illinois stations. The combined method was compared with the entropy and GLS approaches using the high-flow data from eastern Illinois stations.
AB - The Illinois State Water Survey performed a study to assess the streamgaging network in the State of Illinois. One of the important aspects of the study was to assess the regional value of each station through an assessment of the information transfer among gaging records for low, average, and high flow conditions. This analysis was performed for the main hydrologic regions in the State, and the stations were initially evaluated using a new approach based on entropy analysis. To determine the regional value of each station within a region, several information parameters, including total net information, were defined based on entropy. Stations were ranked based on the total net information. For comparison, the regional value of the same stations was assessed using the generalized least square regression (GLS) method, developed by the US Geological Survey. Finally, a hybrid combination of GLS and entropy was created by including a function of the negative net information as a penalty function in the GLS. The weights of the combined model were determined to maximize the average correlation with the results of GLS and entropy. The entropy and GLS methods were evaluated using the high-flow data from southern Illinois stations. The combined method was compared with the entropy and GLS approaches using the high-flow data from eastern Illinois stations.
KW - Entropy
KW - Gaging network
KW - Generalized least square method
KW - Illinois
KW - Information transfer
KW - Network design
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U2 - 10.1016/S0022-1694(03)00244-0
DO - 10.1016/S0022-1694(03)00244-0
M3 - Article
AN - SCOPUS:0345015838
SN - 0022-1694
VL - 283
SP - 107
EP - 121
JO - Journal of Hydrology
JF - Journal of Hydrology
IS - 1-4
ER -