Physical Sciences and Mathematics Commons^™

On The Sampling Distribution Of Entropy Function, Pan Fu-Charo

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Since the introduction of Shannon's Entropy Function in a non-probabilistic setting [l], there has been an expectancy that it will provide a useful measure for the fuzzy cluster validity problem. We hope to demonstrate here (empirically) by Monte Carlo simulation that the entropy Hc(U) of fuzzy c-partitions (U) defined below has expectaction

E(H_c(U)) = ∑^c_k=2 1/k

and variance

Var(H_c(U)) = 1/n(∑^c_k=2 1/k₂ - (c-1)/(c+1)(π²/6) - 1).

Furthermore, for sufficiently large n, that H is approximately normal.

In this report we propose a method which generates the required fuzzy matrix …

Assessment Of Design Alternatives: Proposed Relocation Of Rainbow Marina, Glen Canyon National Recreation Area, Utah-Arizona, Philip E. Flores Associates, Inc.

Elusive Documents

No abstract provided.

Granting The Consent Of Congress To The Amended Bear River Compact Between The States Of Utah, Wyoming And Idaho, Mr. Bayh, Mr. Kennedy

Elusive Documents

No abstract provided.

Meteorology Of Major Storms In Western Colorado And Eastern Utah, U.S. Department Of Commerce

Elusive Documents

No abstract provided.

Distribution Of Phytoplankton In Utah Lakes, L. R. Williams, S. C. Hern, V. W. Lambou, F. A. Morris, M. K. Morris, W. D. Taylor

Elusive Documents

No abstract provided.

Effect Of Displaced Geomagnetic And Geographic Poles On High-Latitude Plasma Convection And Ionospheric Depletions, Jan Josef Sojka, W. J. Raitt, Robert W. Schunk

All Physics Faculty Publications

We assumed that the ionospheric plasma at high latitudes has a tendency to corotate about the geographic pole and that magnetospheric convection is relative to the geomagnetic pole. With this assumption we calculated plasma drift patterns over the polar cap for a range of constant magnetospheric electric fields as well as for asymmetric electric fields with enhanced plasma flow on either the dawnside or the duskside of the polar cap. We calculated the drift patterns in both the geographic inertial and the geomagnetic inertial frame taking into account the displacement between the geographic and geomagnetic poles. We found that this …

Stochastic Analysis For Water Quality, Ronald F. Malone, David S. Bowles, William J. Grenney, Michael P. Windham

Reports

This report demonstrates the feasibility of applying stochastic techniques to linear water quality models. The Monte Carlo, First Order, and Generation of Moment Equation techniques are applied to a long term phosphorus model of Lake Washington. The effect of uncertainty of the phosphours loading term on simulated phosphous levels is analyzed. All three stochastic techniques produced the same results. The simulated concentrations of phosphorus in the water column are very responsive to uncertainty in annual phosphorus loading, the sediment concentrations relatively insensitive. The Monte Carlo technique is shown to require the most computation time of the three stochastic techniques applied. …

Random Differential Equations In Water Quality Modeling, Brad A. Finney, David S. Bowles, Michael P. Windham

Reports

A probabilistic river water quality model is developed with the capability of determinging the joint and marginal probability density function of biochemical oxygen demand (BOD) and dissolved oxygen (DO) at any point in a river. The one dimensional steady-state model can be applied to a river system with any reasonable number of point loads and diversions and lateral surface and subsurface inflow. The model can simultaneously consider randomness in the intital conditions, inputs, and coefficients of the water quality equations. Any empirical or known distribution can be used for the initial condition. The randomness in the water quality equation inputs …

Federal Agency Procedures For Project Design Flood Determination: Report To U.S. Water Resources Council, L. Douglas James, H. James Owen

Reports

No abstract provided.

Erosion Control During Highway Construction: Volume 1, Calvin G. Clyde, C. Earl Israelsen, Paul E. Packer

Reports

Summary: Highway constuction as we know it today is a high-risk activity with respect to engendering soil erosion. In earlier days of road building, when rights-of-way were generally narrow and excavations mostly shollow, erosion was rarely a serious problem. Only occasionally was it considered necessary to design and apply specific measures for erosion control. With the advent of the superhighway involving far greater widths of right-of-way, and much deeper disturbance of the natural ground to affort the horizontal and vertical highway geometry necessary for high-speed travel, came a several fold increase in erosion potential and a direct need for specific …

High Latitude Plasma Convection: Predictions For Eiscat And Sondre Stromfjord, Jan Josef Sojka, W. John Raitt, Robert W. Schunk

All Physics Faculty Publications

We have used a plasma convection model to predict diurnal patterns of horizontal drift velocities in the vicinity of the EISCAT incoherent scatter facility at Tromso, Norway and for Sondre Stromfjord, Greenland, a proposed new incoherent scatter facility site. The convection model includes the offset of 11.4° between the geographic and geomagnetic poles (northern hemisphere), the tendency of plasma to corotate about the geographic pole, and a magnetospheric electric field mapped to a circle about a center offset by 5° in the antisunward direction from the magnetic pole. Four different magnetospheric electric field configurations were considered, including a constant cross‐ …

Program Development Plan For An Operational Cloud Seeding Project In Utah With Evaluation Included, Geoffrey E. Hill

Reports

1. Operation Framework

In the arid climate of Southern and Central Utah, there is a continuing need to augment water supplies. While much of the water is needed for summertime use, particularly for irrigation, most of the available water is supplied by winter storms. Therefore, it is for the augmentation of the water stored naturally as snowpack at higher elevations that cloud seeding can make its greatest contribution.

Over the past several years, an attempt has been made to augment the snowpack by cloud seeding. Although there is a physical basis for expecting an increase in precipitation from a scientifically managed …

An Economic Evaluation Of The Salinity Impacts From Energy Development: The Case Of The Upper Colorado River Basin, Rangesan Narayanan, Sumol Padungchai, A. Bruce Bishop

Reports

To analyze the effect of potential energy development on water allocation and water quality in the Upper Colorado River Basin, a linear programming model is formulated. Using the model, changes in salinity are predicted. Further, least-cost strategies to maintain the established numeric salinity criteria through both structural and nonstructural alternatives are developed. The effectiveness of alternative control measures are examined within given institutional constraints. Based on cost-benefit analysis, optimal salinity levels over time are proposed. The economic feasibility of presently planned strucutral measures to reduce salinity is investigated and contrasted with nonstructural alternatives.

Algal Bioassay Study For The Dolores Project, Dominguez Project, San Miguel Project, West Divide Project, Leslie G. Terry, V. Dean Adams

Reports

No abstract provided.

Erosion Control Product Testing, C. Earl Israelsen, Eugene K. Israelsen, Joel E. Fletcher, Jerald S. Fifield, Ronald V. Canfield

Reports

Introduction: Fibrex Corporation has capability for manufacturing various blends of cellulose fibers which have been used at locations throughout the country for temporarily controlling erosion on denuded land areas, and for serving as growth media for grass and other vegetation. Soil and climatic conditions vary greatly where these products are used, and it is not possible to determine by observation whether one is more effective than another in controlling erosion or promoting vegetative growth. Fibrex is desirous of knowing with some degree of confidence which products have the highest level of erosion control so that additional efforts can be directed …

Integrating Water Resources And Land Use Planning, Jim Mulder, Kirk R. Kimball, Dean T. Larson, L. Douglas James, Lance R. Rovig, Dave Labau, Ken Sizemore

Reports

Information and recommendations were developed pertaining to the integrating of water resource and land use planning at a conceptual level. In the accomplishment of this goal, the report acts as a vehicle of information transfer to facilitate recognition of the interrelationships between land use and winter resources planning by practitioners in both areas. The approach that was used includes six basic components: 1) the clarification of current planning theory as it pertains to both water and land use planning, 2) analysis and review of historical and current land use planning practices, 3) review of historical and current land use planning …

Studies On Viruses In Water, Rex S. Spendlove, Bill B. Barnett, Dennis B. George, Dennis J. Adams, Stanley F. Hayes, Ronald B. Dean, David Ridinger, Darwin L. Sorensen

Reports

A new procedure for the detection of viral antigens in fecal material was developed. The test is performed by first diluting a fecal sample with phosphate buffered saline to give a liquid consistency. The pH is then adjusted to 8.5-9.0 and the solids are allowed to settle for five minutes. Supernatant fluid from above the fecal sediment is placed on the upper surface of a well of an inverted Immulon microtiter plate and incubated for one hour at 37 degrees C to allow virus to adsorb to the plastic. The Immulon plate is then washed three times with a Tween …

Some Further Cost Allocation Studies For The Senegal River Development Program: Report 2, J. Paul Riley, David S. Bowles, Jay C. Anderson, John E. Keith

Reports

No abstract provided.

Historical And Projected Municipal And Industrial Water Usage In Utah 1960-2020, Roger D. Hansen, Herbert H. Fullterton, A. Bruce Bishop, Trevor C. Hughes, Ronald Christensen, Davis S. Bowles, Kyle Matteson, Hershel G. Hester Iii, Ronald Mead, Randy Simmons

Reports

This publication reports the results of a municipal and industrial water use inventory. Data reported covers the period 1960 through 1976. Time series information is aggregated from municipal and industrial system level to country and state totals. Total municipal and industrial withdrawals are divided between surface and groundwater sources. Yearly per capital withdrawal rates are estimated for 50 Utah municipalities and for each of Utah’s 29 counties. Per capita withdrawal rates range from a high of over 400 gallons per capita per day (gcd) in the communities of Delta, Fillmore, Hyrum, Logan, and Morgan to a low of 100 gcd …

Pre-Impoundment Water Quality Study For The Dominguez Project, Larry Baker, V. Dean Adams, Leslie G. Terry, Jerald S. Fifield, Darwin L. Sorensen

Reports

Introduction: The U.S. Bureas of Reclamation is currently in the process of evaluating a number of water development projects in Southwest Colorado. As a part of the planning process the Bureasu has conducted a water qualtiy investigation, in cooperations with the UWRL, of the stream segments that will be affected by each project. The data collected in this study were used to evaluate the water quality of each stream segment with respect to various beneficial uses of water (agriculture, raw municipal water supply, protection of the aquatic biota) and will provide a baseline by which to assess the impact of …

Levels Of Analysis In Comprehensive River Basin Planning, Dean T. Larson, L. Douglas James, Kirk R. Kimball, Jim Mulder, A. Berry Crawford, Charles Johson, Lance Rovig, Ken Sizemore

Reports

Since nearly every water resource managment choice has two or more sides, differences must be resolved in decision making. Equitable resolution requires an understanding of the reasons for the differences. These reasons originate in the implemented plans have physical-environmental, economic, social, cultural, and political impacts at levels ranging from local to national or international in scope. Decisions are made by individuals and groups impacted in all of these dimensions and at all of these levels; the decisions generate additional impacts; and the entire interactive process changes water management practice in ways outside the control of any one decision point or …

Pre-Impoundment Water Quality Study For The San Miguel Project, Larry Baker, V. Dean Adams, Leslie G. Terry, Jerald S. Fifield, Darwin L. Sorensen

Reports

Introduction: Scope of Study: The United State Bureau of Reclamation (USBR) is currently evaluating plans to construct a multipurpose reservoir on the San Miguel River 32 kilometers (20 miles) below Telluride, Colorado. As part of the environmental assessment for this project, the Utah Water Research Laboratory (UWRL) was contracted to conduct an intensive water quality study on the San Miguel River and its tributaries in the vicinity of the project area. In this study water samples were collected during the period from May, 1977, to August, 1978, on a monthly basis from three sites on the San Miguel River and …

Modeling The Performance Of The Intermittent Sand Filter, P. A. Cowan, E. J. Middlebrooks

Reports

Several models were developed to predict the efficiency of the intermittent sand filter (ISF) in removing algae from wastewater stabilization pond effluent; volatile suspended solids (VSS) was the analytical technique used to identify algal concentrations. The first (ISF model) and second (modified ISF model) models consisted of two distinct portions: a surface algal layer (SAL) component and a sand phase component. In the ISF model, the sand phase component was described in terms of 20 empirical sand filter efficiency terms (20 ^ coefficients); in the modified ISF model, a functional relationship between ^ and filter depth was developed. The modified …

Tabulation And Application Of Pan Evaporation Data For Utah Through 1976, Kenneth G. Hubbard

Reports

Monthly values of evaporation, wind movement and water temperatures are presently for all available station in Utah. A brief review is given of factors which effect evaporation along with several examples of how pan evaporation data ware used.

Effects Of Oil Shale Leachate On Phytoplankton Productivity, Mary Louise Cleave, V. Dean Adams, Donald B. Porcella

Reports

The effects of oil shale leachate and salinity additions on the productivity of freshwater algae were studied in the laboratory using batch bioassays. These batch bioassays were used to screen variations of ten salts in single and multiple additions of all possible combinations of the ten salts; water extractions of different processed and unprocessed oil shales; and the concentration effects of both the salts from 0.3 N to 0.05 N as NaCl and the oil shale extractions on the growth of standard test algae and indigenous algae from Lake Powell. The batch bottle bioassays were conducted following the standard algal …

Heat Content Of Bark, Twigs, And Foliage Of Nine Species Of Western Conifers, United States Department Of Agriculture, Forest Service

Forestry

Comparative combustion tests showed that bark, twigs, and foliage of nine commercial timber species in the Northern Rocky Mountains generally produce more heat than equal volumes of their ovendry wood and that these parts of harvested trees could be profitably utilized as a source of energy.

Sucker Regeneration In A Utah Aspen Clone After Clearcutting, Partial Cutting, Scarification, And Girdling, United States Department Of Agriculture, Forest Service

Forestry

Clearcutting, partial cutting, scarification, and girdling were used to stimulate root suckering in a Utah aspen clone. Regeneration was inventoried yearly during the first 4 years after treatment and again after 12 years. Clearcutting resulted in the greatest number of suckers. In most years, partial cuts (cuts that removed 67 percent of the basal area) had less than 50 percent as much regeneration as the clearcut plots. Girdling stimulated suckering to a lesser degree than cutting. Mortality was high on girdled plots and by the 12th year after treatment few suckers had survived. Scarification had no apparent effect on sucker …

Influence Of Some Environmental Factors On Initial Establishment And Growth Of Ponderosa Pine Seedlings, United States Department Of Agriculture, Forest Service

Forestry

Study plots were established to determine the effects of various environmental factors on ponderosa pine seed germination and initial seedling establishment and growth. A series of soil surface treatments were performed on plots in two locations: within or under the influence of overstory pine trees and in openings away from the pine influence. Seed germination was significantly greater in the opening plots. The overstory canopy and forest floor restricted the amounts of precipitation, light, and heat reaching the soil and probably decreased germination. Cutworms, birds, and small mammals caused the greatest seedling mortality. The largest seedlings occurred in the fire-treated …

Quaking Aspen - Seed Germination And Early Seedling Growth, United States Department Of Agriculture, Forest Service

Forestry

The suckering of aspen (Populus tremuliodes Michx.) as a highly effective means of vegetative propagation is well known and has been widely studied (Baker 1918; Day 1944; Maini 1967; Schier 1974). Less is known about seed propagation, sometimes viewed as having only minor importance because early research (Baker 1918) had indicated that rare seedling establishment was due to low or nonexistent germinability.

A Search For Phytotoxins Influencing Germination And Early Growth Of Ponderosa Pine, United States Department Of Agriculture, Forest Service

Forestry

A series of laboratory and field experiments were conducted to determine if mature ponderosa pines produce a substance (phytotoxin) that inhibits the germination and growth of seedlings directly under the tree crown. Neither live nor dead materials collected from ponderosa pines produced either volatile or water-soluble phytotoxins that drastically inhibited germination of seeds or growth of seedlings. Seed overwintering beneath the canopy of mature pine, or planted in soils collected there, showed reduced germination. Exact cause of the reduction was not determined. If weak phytotoxins were responsible, they did not inhibit growth of seedlings that germinated.