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M.R. Karlinger

Publications and source records attributed to M.R. Karlinger.

23 records · Page 2Linked to original sources
USGS1981

Kriging analysis of mean annual precipitation, Powder River Basin, Montana and Wyoming

Kriging is a statistical estimation technique for regionalized variables which exhibit an autocorrelation structure. Such structure can be described by a semi-variogram of the observed data. The kriging estimate at any point is a weighted average of the data, where the weights are determined using the semi-variogram and an assumed drift, or lack of drift, in the data. Block, or areal, estimates can also be calculated. The kriging algorithm, based on unbiased and minimum-variance estimates, involves a linear system of equations to calculate the weights. Kriging variances can then be used to give confidence intervals of the resulting estimates. Mean annual precipitation in the Powder River basin, Montana and Wyoming, is an important variable when considering restoration of coal-strip-mining lands of the region. Two kriging analyses involving data at 60 stations were made--one assuming no drift in precipitation, and one a partial quadratic drift simulating orographic effects. Contour maps of estimates of mean annual precipitation were similar for both analyses, as were the corresponding contours of kriging variances. Block estimates of mean annual precipitation were made for two subbasins. Runoff estimates were 1-2 percent of the kriged block estimates. (USGS)

Montana, Wyoming↗
USGS1976

Economic worth of hydrologic data in project design: An application to regional energy development

The linkage between the benefits to a regional economy from a water-dependent industry and the statistical uncertainty of the water supply that is needed in the production process is analyzed using a Bayesian scheme of expected-expected benefits of hydrologic data. In this analysis, expected benefits are calculated using anticipated streamflow data and these benefits are averaged over all possible data values. The increase in these average expected benefits is subsequently compared to the costs of obtaining the data and benefits foregone by delaying the project to collect the data. Thus, the value of collecting the data may be determined. A Leontief type production function is assumed for an oil shale retorting plant. The economic impact of hydrologic uncertainty is investigated by examining potential changes in plant output along with changes in regional incomes which are calculated by means of a regional input-output model. Alternatives for reducing the uncertainty included establishing water discharge measuring stations, transferring streamflow information from one site to another via regionalization, and a combination of both. Given a specific alternative, the optimum time period for data collection was found. Regionalization considered statistical properties of network designs based on simulated regression analysis.

Open-File Report↗
USGS1973

Puerto Rico water resources planning model program description

Because the use of the Mathematical Programming System -Extended (MPSX) to solve large linear and mixed integer programs requires the preparation of many input data cards, a matrix generator program to produce the MPSX input data from a much more limited set of data may expedite the use of the mixed integer programming optimization technique. The Model Definition and Control Program (MODCQP) is intended to assist a planner in preparing MPSX input data for the Puerto Rico Water Resources Planning Model. The model utilizes a mixed-integer mathematical program to identify a minimum present cost set of water resources projects (diversions, reservoirs, ground-water fields, desalinization plants, water treatment plants, and inter-basin transfers of water) which will meet a set of future water demands and to determine their sequence of construction. While MODCOP was specifically written to generate MPSX input data for the planning model described in this report, the program can be easily modified to reflect changes in the model's mathematical structure.

Open-File Report↗