Proposal of dissertation topics
detailed info is provided by supervisor. Contact details in the description of dissertation topics.
HYDROLOGY, Kochanek K. The uncertainty of maximum flow quantiles resulting from measurements imperfections
tel.: +48 22 6915-862
e-mail: kochanek@igf.edu.pl
Start date: 2021-10-01 End date: 2025-09-30
The deadline for submitting applications: 2021-06-20
Background
The PhD research consist on the statistical modelling of the runoff processes within the context of the monitoring data uncertainty. When estimating the upper quantiles of high waters, which are used as design characteristics of hydrotechnical structures, culvers and bridges, the errors of their evaluation resulting from: model specification, the estimation method used, the length of the observation series and the number of model parameters usually analysed. In both the stationary and non-stationary approaches, the tacit assumption is that the hydrological datasets are accurate, and in fact, they are as accurate as they can be. On the other hand, the problem of the influence of data accuracy on the estimation results is rarely undertaken by researchers, although it can be assumed that this influence is definitely not negligible. According to the principle of rational ignorance, commonly used in many fields of practical application, we take for account the knowledge about a topic only when the gains we expect from that knowledge exceed the cost of acquiring it. Paradoxically, these expected gains from taking into account data accuracy are not actually profits because they increase the uncertainty in the evaluation of design quantiles, which various statistical methods try to reduce. The quantification of the influence of data uncertainty on the magnitude of design characteristics may change our perception of the estimation methods, the interpretation and the practical use of the results.
Tasks description
- Deepened analysis of hydrological data within the context of their quality, uncertainty, non-stability, etc.
- Simulation experiments by means of statistical and deterministic hydrological models
- Evaluation of the uncertainty in the modelling results
Requirements
- MSc in hydrology or geophysics or environmental sciences or technical sciences (engineering);
- math literacy, basic knowledge of hydrological processes, hydraulics, GIS;
- English reading/writing/speaking at least at the level enabling understanding of scientific publications and interactions with international collaborators;
- programming skills in any computer language;
- knowledge of Polish language will be an additional asset.
For more information contact Prof. Krzysztof Kochanek (kochanek@igf.edu.pl)
Doctoral students will receive doctoral scholarship 2100 PLN monthly for the first two years of study and 3200 PLN for last two years.
To apply for the scholarship fill in the forms (APPLICATION FOR PhD SCHOLARSHIP[K1] )
THEORETICAL GEOPHYSICS, Senatorski P. Subduction Zone Seismicity: The asperity model perspective
tel. + 48 22 6915 685
email: psenat@igf.edu.pl
Start date: 2021-10-01 End date: 2025-09-30
The deadline for submitting applications: 2021-06-20
Background
Seismic networks and space geodesy provides detailed view of the stress accumulation-release process at the plate interface in subduction zones. This approach has not brought effective earthquake predictions: large earthquake occurrences remain uncertain. Therefore, models of seismicity should involve probabilistic principles. We try to combine different aspects of seismicity, such as slow and fast slip interplay at the plate interface, Gutenberg-Richter relationship, different scaling relations among earthquake parameters, in search of a theory, models, and forecasting methods for subduction zone seismicity.
Tasks description
- Seismic data analysis in search of hierarchical asperity structures.
- Numerical modeling of seismicity for different asperity distributions.
- Earthquake recurrence time estimation by using seismic and geodetic data.
Requirements
- Master's degree in physic, geophysics, mathematics, or engineering.
- Experience in numerical modeling, stochastic processes, and data analysis; basic knowledge of earthquakes and seismicity.
- Strong motivation for scientific work and interest in theoretical seismology.
- Experience in delivering seminars and writing articles.
- Proficiency in speaking and writing English.
For more information contact the supervisor Prof. Piotr Senatorski (psenat@igf.edu.pl).
Doctoral students will receive doctoral scholarship 2100 PLN monthly for the first two years of study and 3200 PLN for last two years.
To apply for the scholarship fill in the forms (APPLICATION FOR PhD SCHOLARSHIP[K1] )
