Courses

Qualitative Mathematical Modelling of Complex Systems

Description: 

Qualitative mathematical modelling will be introduced as a means to understand and predict the dynamics of complex biological and socio-economic systems.

The technique poses the question: if all we know of a system is the general nature of relationships between species and environmental and human variables, but not the precise intensity of these interactions, then what do we know?

It turns out that we know not everything, but quite a lot. Qualitative mathematical modelling describes complex systems through only the sign (0, +, -) of the effect or interaction between variables, and thus can easily include variables and processes that are important, yet difficult to measure.

Calculations of system stability and predictions of perturbation response proceed through analysis of the feedback properties of a system. While model predictions are imprecise, there are nonetheless rigorously derived and readily testable.

This approach leads to many interesting, practical, multidisciplinary, and surprisingly overlooked applications for research and natural resource management.

Coursework will be divided between lecture and use of modelling software (provided); students will need access to computer laptops (or share with a partner) and will work in groups on applied problems.

Programme information: 

Day 1: Monday
Pre-start check that everyone has software loaded (PowerPlay, Maple)

Teaching Sections

1. Introduction, History & Philosophy
2. Community Matrix & Defining Relevant Subsystem
3. Numeric Example of Community Matrix & PowerPlay Software
4. Modified Interactions & Split Variables
5. Modeling Building Examples with PowerPlay
6. Press Perturbations
7. Use of Software & Practice Examples

Day 2: Tuesday

8. Questions & Review
9. Meaning & Definition of Self-effects
10. Socio-economic & Biophysical Systems
11. Lyapunov Stability (Kinaesthetic Demonstration)
12. Life Expectancy Change
13. Practice Examples

Day 3: Wednesday

14. Questions & Review
15. Positive Feedback and Alternative States
16. New Applications & Advances
17. Practice Examples

Course dates: 

No edition programmed

Location: 

Institut de Ciències del Mar

Number of hours: 

18H

Contact for further information: 

For additional information, please contact the program coordinator maria.pastor [at] barcelona-ocean.com.

Blocks: 

Price: 0.00€

Cancelation policies

Cancellations by attendants

To cancel a place that you have booked for a Barcelona Ocean course, a notice of cancellation must be sent via email to info@barcelona-ocean.com. The following policies apply:
• If you cancel at least 3 months before the start of the course you will receive a full refund.
• If you cancel between 3 months and 1 month prior to the start of the course you will receive a full refund minus a 10% administration fee.
• If you cancel between 1 month and 10 working days prior to the start of the course you will receive a 50% refund.
• If you cancel less than 10 working days before the event you will not be entitled to a refund.
There will be no refund for non-attendance to the course.

Cancellations by Barcelona Ocean

Barcelona Ocean courses are constantly updated and, while we endeavour to deliver the courses as advertised, there may inevitably be occasions when we will have to change some of the course contents or one or more of the lecturers without prior notice or, in very exceptional circumstances, to cancel an event.
In the case of a complete course cancellation, attendants will either be offered an alternative date, a credit note or a full refund. Barcelona Ocean will not compensate for travel fees or any other expense incurred by you as a result of such cancellation. Every effort will be made to avoid the cancellation of any planned courses.

Subscribe to this course

If you are interested in this course but can not attend on the given dates, you might subscribe to this course by filling in the next form and we will contact you when a new edition is held:

In compliance with Law 15/1999 of 13 December on the Protection of Personal Data, Barcelona Ocean reports the following considerations: personal information we request is included in a file whose purpose is solely to inform about Barcelona Ocean's activities. Fields marked with an asterisk are mandatory, with the expressed purpose impossible unless providing such data. You are further advised of the possibility of exercising rights of access, rectification, cancellation and opposition of your personal data at info@barcelona-ocean.com.

CAPTCHA
This question is for testing whether or not you are a human visitor and to prevent automated spam submissions.
Image CAPTCHA
Enter the characters shown in the image.

Connect with us

We're on Social Networks. Follow us & get in touch.

Contact us

For any inquiries, please contact us by phone or email at: