School of Science
http://hdl.handle.net/10500/2736
Tue, 07 Jul 2015 00:44:28 GMT2015-07-07T00:44:28ZModellering van afhanklikheid in die lineêre model : 'n meteorologiese toepassing
http://hdl.handle.net/10500/18737
Modellering van afhanklikheid in die lineêre model : 'n meteorologiese toepassing
Nieuwoudt, Reina
As deel van die weermodifikasie-eksperiment in Bethlehem, Suid-Afiika, is 'n reenmeternetwerk
geinstalleer, en word die neerslagwaardes R; wat by 43 reenmeterstasies waargeneem is, vergelyk
met die waargenome radar reflektiwiteit Z;. Alhoewel radar ruimtelike en tydskontinue metings van
reflektiwiteit bied wat onmiddellik by een sentrale punt beskikbaar is, is die akkuraatheid van radar
om reenval te meet onseker as gevolg van verskeie potensiele foute in die omskakeling van
reflektiwiteit na reenval. Dit word aanvaar dat reenmeters akkurate puntwaarnemings van reenval
gee en daar bestaan eenstemmigheid dat die kombinasie van die twee metodes beter is as enigeen
van die metodes afsonderlik. In hierdie studie ondersoek ek die toepassing van die veralgemeende
lineere model as 'n beramingstegniek.
Vorige studies gebruik die log-log transformasie, d. w.s. logZ = logA + b(logR) van die Z = ARb
verwantskap om die koeffisiente A en b met behulp van kleinste-kwadrate-regressie te bepaal.
Die implisiete aanname hiermee is dat die foute ongekorreleerd is.
Met die inverse verwantskap R = czd d.w.s. logR = logC + d(logZ) neem ek aan dat die
waarnemings nie onafhanklik is nie sodat die regressiekoeffisiente bereken word met behulp van
die metode van die veralgemeende lineere model. Om die ruimtelike afhanklikheid van die reenmeterwaarnemings
te modelleer, word eksperimentele variogramme uit die data bereken en gepas
met teoretiese variogramme wat gebruik word om die variansie-kovariansiematriks te vu!.
"Gemiddeld" vaar hierdie metode beter as gewone regressie vir analises wat reenmeters wat verder
as 45km vanaf die radarstel is, insluit.
Residu-stipping wys dat die afstand van die meter vanaf die radarstel as 'n afsonderlike onafhanklike
veranderlike in die regressievergelyking ingesluit behoort te word, d.w.s. die beraming
verbeter met logR = 3-0 + a,(logZ) + a2(afstand). Hierdie meervoudige regressiemodel stem ooreen
met die teoretiese model van Smith en Krajewski omdat e -- afstand as 'n praktiese manifestasie van
die foutproses [e.,, (ij)] beskou kan word. Omdat E(ez) = eE<ZJ e'"a' as Z 'n lognormaalverdeling het, kan die sydigheid wat ontstaan
wanneer antilogaritmes geneem word, reggestel word deur die beraamde reenval met e112
"' te
vermenigvuldig.
Die studie !ewer 'n bydrae met die afleiding van 'n beramingstegniek wat die beraming van
neerslag uit radar betekenisvol verbeter.; In a study of a rain-gauge network that was installed for a weather modification experiment in
Bethlehem, South Africa, precipitation values R; observed at 43 gauging stations are compared to
the observed radar reflectivity Z;. Although radar provides spatial and temporal measurements of
reflectivity that are immediately available at one location, the accuracy of radar estimation of
rainfall is uncertain due to various potential errors in the conversion from reflectivity to rainfall.
Rain-gauges are assumed to give accurate point measurements of rainfall and there is general
agreement that the combination of systems is better than either system alone. In this study I
explore the application of the general linear model as an estimation technique.
Previous studies have used the log-log transform, i.e. logZ = logA + b(logR) of the Z = ARb
relation, and applied least-squares regression analysis to determine the coefficients A and b. This
implicitly assumes that the disturbances are uncorrelated.
Working with the inverse relation R = czd i.e. logR = logC + d(logZ) and assuming that the
observations are not independent we compute the regression coefficients using generalised least
squares. To model the spatial dependence of the rain-gauge observations we compute
experimental variograms from the data and fit them with theoretical variograms which are then
used to fill the variance-covariance matrix. "On average" this method performs better than
ordinary regression for the analyses that included rain-gauges further than 45km from the radar
set.
Residual plotting revealed that distance of the rain-gauge from the radar set should be included as
a separate independent variable in the regression equation, i.e. logR = ao + a1(logZ) + a1(distance)
improved the estimation of rainfall as it performs better than ordinary regression. This multiple
regression model agrees with the theoretical model of Smith and Krajewski in the sense that
e "'distance is a practical manifestation of the error process [ e,, (ij)].
Showing that E( ez) = el!.(!.) e 112
"' if Z has a lognormal distribution, the bias when taking antilogs can be removed by multiplying estimated rainfall by e1
'
2a'.
The contribution of this study is the derivation of an estimation technique which significantly
improves the estimation of rainfall from radar
Text in Afrikaans, abstract in Afrikaans and English
Sun, 01 Jun 1997 00:00:00 GMThttp://hdl.handle.net/10500/187371997-06-01T00:00:00ZLevels of Polycyclic Aromatic Hydrocarbons (PAHs) in marshy soils and sediments within Warri and its environs, Negeria
http://hdl.handle.net/10500/18717
Levels of Polycyclic Aromatic Hydrocarbons (PAHs) in marshy soils and sediments within Warri and its environs, Negeria
Bayowa, Adejoke Victoria
Marshy soil and sediment samples were collected during dry and rainy seasons within Warri, and Agbarho, 20km away as control. Levels of 16 USEPA priority Polycyclic Aromatic Hydrocarbons PAHs were determined using GC-FID. Source prediction analysis was also done. The study was in Niger Delta region, Nigeria from January to March and June to August 2012 in dry and wet seasons. Benzo(a)pyrene had highest total concentration of 3.302mg/kg and mean value of 1.651mg/kg in dry season soil samples. However, sediment samples had highest levels for total concentration of PAHs of 19.362mg/kg and mean of 4.840mg/kg for both dry and rainy seasons within Warri. PAHs concentration was higher in dry than rainy seasons for soil and sediment samples. Source prediction analysis revealed that PAHs in sediments for dry season were pyrolytic while rainy seasons were petrogenic sources. For soils, the dry season was mixed sources while the rainy season was petrogenic.
Sat, 01 Nov 2014 00:00:00 GMThttp://hdl.handle.net/10500/187172014-11-01T00:00:00ZThe differential geometry of the fibres of an almost contract metric submersion
http://hdl.handle.net/10500/18622
The differential geometry of the fibres of an almost contract metric submersion
Tshikunguila, Tshikuna-Matamba
Almost contact metric submersions constitute a class of Riemannian submersions whose
total space is an almost contact metric manifold. Regarding the base space, two types
are studied. Submersions of type I are those whose base space is an almost contact
metric manifold while, when the base space is an almost Hermitian manifold, then the
submersion is said to be of type II.
After recalling the known notions and fundamental properties to be used in the
sequel, relationships between the structure of the fibres with that of the total space
are established. When the fibres are almost Hermitian manifolds, which occur in the
case of a type I submersions, we determine the classes of submersions whose fibres
are Kählerian, almost Kählerian, nearly Kählerian, quasi Kählerian, locally conformal
(almost) Kählerian, Gi-manifolds and so on. This can be viewed as a classification of
submersions of type I based upon the structure of the fibres.
Concerning the fibres of a type II submersions, which are almost contact metric
manifolds, we discuss how they inherit the structure of the total space.
Considering the curvature property on the total space, we determine its corresponding
on the fibres in the case of a type I submersions. For instance, the cosymplectic
curvature property on the total space corresponds to the Kähler identity on the fibres.
Similar results are obtained for Sasakian and Kenmotsu curvature properties.
After producing the classes of submersions with minimal, superminimal or umbilical
fibres, their impacts on the total or the base space are established. The minimality of
the fibres facilitates the transference of the structure from the total to the base space.
Similarly, the superminimality of the fibres facilitates the transference of the structure
from the base to the total space. Also, it is shown to be a way to study the integrability
of the horizontal distribution.
Totally contact umbilicity of the fibres leads to the asymptotic directions on the total
space.
Submersions of contact CR-submanifolds of quasi-K-cosymplectic and
quasi-Kenmotsu manifolds are studied. Certain distributions of the under consideration
submersions induce the CR-product on the total space.
Tue, 01 Oct 2013 00:00:00 GMThttp://hdl.handle.net/10500/186222013-10-01T00:00:00ZTheoretical and computational considerations of Quasi-Free (p; 2p) reactions using the distorted-wave impulse approximation and Monte Carlo simulations in Geant4
http://hdl.handle.net/10500/18610
Theoretical and computational considerations of Quasi-Free (p; 2p) reactions using the distorted-wave impulse approximation and Monte Carlo simulations in Geant4
Lisa, Nyameko
Under current investigation is the re-implementation of the Distorted-Wave Impulse Approximation (DWIA),
originally formulated in FORTRAN by N.S. Chant and P.G. Roos, with the intention of developing it in a
portable Python environment. This will be complimented by developing a GEANT4 detector simulation application.
These two techniques will be used to model the (p,2p) proton knock-out reaction 40Ca(p; 2p)39K (2.52
MeV)1
2
+ first excited state, at intermediate incident energies of 150 MeV. This study is a test-bed that lays the
foundation and platform from which one may develop an interactive workbench and toolkit in GEANT4 which:
(i.) accurately models an accelerator-detector experimental set-up, such as those found at iThemba Labs, and
(ii.) incorporates the DWIA formalism as a built-in physics process within the framework of GEANT4.
Furthermore the Python modules developed for the specific proton knock-out reaction studied here, can be generalized
for an arbitrary set of nuclear scattering reactions and packaged as a suite of scientific Python codes.
Mon, 01 Sep 2014 00:00:00 GMThttp://hdl.handle.net/10500/186102014-09-01T00:00:00Z