Methods in Oceanography: Introduction to spatio-temporal analysis of oceanographic data

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General information

The course is aimed to introduce the student on the fundamental notions and practical use of common data analysis techniques in Oceanography. The course is focused on three blocks: Stochastic processes, Time series and Spatial Series.

Probability concepts: porbability and stochastic processes, time series and spatial analysis. The course includes the resolution of theoretical and practical exercises with real oceanographic data and some elementary computer programming.

Programme information: 

1. Probability and Stochastic Processes

  • Definitions
  • Distribution functions and probability density functions (PDF)
  • Bivariate processes: Correlation and Independence
  • Stationary stochastic processes and Ergodicity
  • Simple processes: AR and MA processes
  • Error Sources
  • Estimation and Central Limit Theorem
  • Principal components and Empirico-orthogonal functions (EOF)

2. Time Series Analysis: Spectral analysis

  • Theorethical basis: time and spectral representation
  • Discrete signals: Sampling effects
  • Methods of spectral estimation of radom series
  • Irregularly sampled series
  • Methods of spectral estimation of non-stationary series

3. Spatial Analysis: maps, spatial analysis

  • Elementary techniques: Polynomial Interpolation and Splines
  • Statistical objective snalysis: Error covariance model
  • Method of duccessive corrections:
  • Analysis through emprico-ortoghonal functions (EOF)
  • Alternative analysis
Contact Person: Francisco José Machín Jiménez (


The highlighted icons, represent the fields of education (in compliance with ISCED Classification) engaged during this course/programme.


Venue: Institute of Marine Sciences
Barcelona, Spain

The Institute of Marine Sciences is located in Barcelona’s Villa Olimpica District between the Hospital del Mar and the Olympic Towers. 
Institut de Ciències del Mar
Passeig Marítim de la Barceloneta, 37-49



Full price of this course is 510€. A reduced registration fee of 425€ is applied for early registrations (20 days before the opening of the course).


Students should have some elementary background on elementary mathematics (statistics, function analysis). Some background on scientific programming is welcome but not indispensable.

Application Procedure:

Use the ADD TO CARD button on the course's website to book a place and make your payment.


Students attending to at least 80% of the classes will receive a certificate confirming their participation in the course, signed by the Barcelona Ocean responsible person and by the Lecturers of the course.


Academic level: Master, PhD, Lifelong Learning
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