Subject Datasheet

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I. Subject Specification

1. Basic Data
1.1 Title
Hydrological modelling and forecasting
1.2 Code
1.3 Type
Module with associated contact hours
1.4 Contact hours
Type Hours/week / (days)
Lecture 2
1.5 Evaluation
1.6 Credits
1.7 Coordinator
name Dr. József Szilágyi
academic rank Professor
1.8 Department
Department of Hydraulic and Water Resources Engineering
1.9 Website
1.10 Language of instruction
hungarian and english
1.11 Curriculum requirements
1.12 Prerequisites
Recommended prerequisites:
  • Modelling of Hydrosystems (BMEEOVVMV-1)
  • Civil Engineering Informatics (BMEEOFTAT42)
  • Hydrology II (BMEEOVVAI41)
  • Numerical Methods (BMEEOFTMK51)
  • Methods of Engineering Analysis (BMEEOHSMK51)
1.13 Effective date
1 September 2021

2. Objectives and learning outcomes
2.1 Objectives
The course will focus on time series and linear models most frequently employed in hydrology. Solution of the practical problems with the help of MATLAB will enable one to apply, modify and build such models on one’s own for hydrological/civil engineering research.
2.2 Learning outcomes
Upon successful completion of this subject, the student:
A. Knowledge
  1. Familiarity with the most frequently encountered time series concepts and models employed in hydrological research and ability to apply them for one’s own research.
  2. Knows how to generate stochastic time-series with the Monte-Carlo approach.
  3. Aware of the conditions necessary for applying the Kalman filter for optimal model parameter estimation.
  4. Familiar with linear hydrological models and knows how to modify them for one’s own purpose.
B. Skills
  1. Advanced problem solving capacity in hydrological modelling and forecasting using linear and time series models.
  2. Thorough knowledge of linear models of hydrology, their modifications and problem-specific applications.
  3. Thorough understanding of time series models often employed in hydrology and water resources research, their correct applications and strengthened skill to further develop such models.
  4. Aptitude for writing MATLAB code performing „brute-force” calibration and its application for solving problems in hydrology and civil engineering.
  5. Capacity of solving complex modelling problems by MATLAB.
C. Attitudes
  1. Cooperates with the instructor during the learning process.
  2. Continuously and actively seeks ways of gaining knew knowledge even beyond the required curriculum and employs the internet for finding intuitive answers to research problems.
  3. Open to learn new software skills.
  4. Attempts to perform precise problem solutions.
D. Autonomy and Responsibility
  1. Resolution to solving homework on one’s own within feasible limits.
2.3 Methods
Lectures on theory. Practical guidance about the steps needed for solving computational/modelling problems and the software required. Consultation of the homework individually or in groups using one’s own laptop on top of written (e-mail) and personal oral communication during consultation hours.
2.4 Course outline
WeekTopics of Lectures
1.Stochastic process. Basics of time series modelling: stationarity, ergodicity.
2.Univariate ARMA and ARIMA models.
3.The seasonal Thomas-Fiering model and its applications.
4.Multivariate AR models.
5.Modelling non-stationary time-series.
6.Data generation by the Monte-Carlo method and its hydrological applications.
7.System theory. Linear ordinary differential equations. Impulse response and convolution. The Wiener-Hopf and Yule-Walker equations.
8.The Saint-Venant equations and its simplified versions. State-space description of the continuous, spatially discrete linear kinematic wave equation. The Kalinin-Milyukov-Nash cascade.
9.The Discrete Linear Cascade Model: classical pulsed data framework.
10.The Discrete Linear Cascade Model: linearly interpolated data framework.
11.The Boussinesq equation, the Diskin-Jakeman-Young rainfall-runoff model.
12.The Gauss-Markov process.
13.The Kalman filter and its application for model calibration.
14.Accounting for nonlinearity using linear models. Geographic Information Systems and remote sensing applications in hydrology.
Due to holidays and recesses this course description is only for general guidance, the accurate time-table is found on the course’s webpage, titled “Detailed semester schedule”.
The above programme is tentative and subject to changes due to calendar variations and other reasons specific to the actual semester. Consult the effective detailed course schedule of the course on the subject website.
2.5 Study materials


  1. Szilágyi J., Szöllősi-Nagy A., 2010. Recursive streamflow forecasting: a state-space approach, CRC Press, London, UK.
  2. Brockwell, P., 2010. Introduction to time-series and forecasting, Springer, New York, USA.
  3. Bras, R. L., Rodriguez-Iturbe, I., 1993. Random functions and hydrology, Dover, London, UK.
2.6 Other information
2.7 Consultation

Time of consultations: advertised on the course’s webpage (occasionally by specific request), in the office of the course instructor.

This Subject Datasheet is valid for:
Inactive courses

II. Subject requirements

Assessment and evaluation of the learning outcomes
3.1 General rules
Evaluation of the participant’s learning progress described in A 2.2. is performed by a written final test and ten homework assignments.
3.2 Assessment methods
Evaluation form Abbreviation Assessed learning outcomes
1st homework (partial performance evaluation) HW1 B.1-B.2; C.1-C.4; D.1
2nd homework (partial performance evaluation) HW2 B.1-B.2; C.1-C.4; D.1
3rd homework (partial performance evaluation) HW3 B.1-B.2, B.5; C.1-C.4; D.1
4th homework (partial performance evaluation) HW4 B.1-B.2, B.5; C.1-C.4; D.1
5th homework (partial performance evaluation) HW5 B.1-B.2, B.5; C.1-C.4; D.1
6th homework (partial performance evaluation) HW6 A.1; B.1-B.2, B.5; C.1-C.4; D.1
7th homework (partial performance evaluation) HW7 B.1-B.2, B.5; C.1-C.4; D.1
8th homework (partial performance evaluation) HW8 A.2-A.3; B.1-B.4; C.1-C.4; D.1
9th homework (partial performance evaluation) HW9 A.4; B.1-B.5; C.1-C.4; D.1
10th homework (partial performance evaluation) HW10
Written test (final performance evaluation) WT B.1-B.5

3.3 Evaluation system
3.4 Requirements and validity of signature
3.5 Grading system
Grade Points (P)
excellent (5) 85%<=P
good (4) 70<=P<85%
average (3) 55<=P<70%
satisfactory (2) 40<=P<55%
unsatisfactory (1) P<40%
3.6 Retake and repeat
  1. The homework is due back within two weeks always.
  2. The homework can be corrected within that time limit.
  3. There is a make-up test in the 15th week of the semester.
3.7 Estimated workload
Activity Hours/semester
participation in contact classes 14×2=28
preparation for the final test 8
preparation f homework 10×4=40
study from notes, textbooks 14
Sum 90
3.8 Effective date
1 September 2021
This Subject Datasheet is valid for:
Inactive courses