Stability, Complexity, Sustainability and Resilience
What is
landscape stability and what is landscape complexity? How landscape
geomorphology and landscape ecology are related to landscape stability and
complexity? What is landscape sustainability and when is a landscape resilient?
2. Systems Modelling
of Landscape Dynamics
Modelling landscape dynamics for landscape
stability analysis: for first time ever, the dynamical systems approach is
applied to landscape analysis, methodically, with innovative routines that can
be followed by a geographer or landscape scientist in order to analyze and
predict long-term landscape dynamics from cartographic information.
3. The Analytic Model of Landscape Dynamics
Modelling
landscape dynamics for landscape stability analysis: for first time ever, an
analytic model is presented in the literature describing landscape dynamics
with analytic methods
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4. Stability, Topology and Energy Dissipation in Landscape
Dynamics
On the basis
of an application to a landscape of Greece, two aspects of landscape dynamics
are explored from a landscape’s stability analysis: topology and energy dissipation.
These completely new methods make use of maps of landscape change and are
useful for deriving qualitative properties of sub-systems involved in the
overall dynamics of a landscape.
5. Landscape
Ecologies with Complex Dynamics
Methods for
analyzing landscape stability of physical and digital landscapes with
non-linear behaviors, complex dynamics and other characteristics of complex
systems (bifurcations, attractors, chaos etc). For first time ever, landscape
change is examined by means of complex dynamical systems models.
6. Stochastic Modelling of Landscape Dynamics
Modelling landscape dynamics for landscape
and predicting future land cover/land use allocations by means of stochastic
modelling
7. Environmental Stochasticity
and Landscape Phase Transitions
How to model the loss of landscape
stability due to random environmental
disturbances? What general models describe phase transitions of
landscape states (from unstable to stable, from organized to disordered etc) and
how does the interplay of determinism and randomness affect them?
8. Complexity, Non-Locality and Riddled
Landscape Dynamics
Models of non-linear interactions, models combining
determinism with stochasticity and peculiar properties of riddled landscape
dynamics, examined in a way that has never been examined before. Why assessing
landscape dynamics may entail hard problems and what are the repercussions of
this for landscape analysis? (i.e. what landscape management of landscape
planning can be done when a landscape’s complexity is intractable?).
Dr. Dr. Fivos Papadimitriou is at the University of Tübingen and he is the author of “Spatial Entropy and Landscape Analysis” (Springer VS) and “Spatial Complexity: Theory, Mathematical Methods and Applications” (Springer).
This book offers a comprehensive exposition of the mathematical methods that can be used to model landscape dynamics.
It is systematically shown how mathematical models of progressively higher complexity can be derived from ordinary landscape maps and related data in ways that enable researchers to predict future landscape transformations and to assess landscape stability, sustainability and resilience.
These models are deterministic (i.e. linear or non-linear systems of differential equations), stochastic (i.e. Markovian), or combined deterministic-and-stochastic (using stochastic differential equations), whereas topics and challenging problems related to complexity (spatial randomness, chaotic behaviors, riddled systems etc) are also examined in the book.
The author
Dr. Dr. Fivos Papadimitriou is at the University of Tübingen and he is the author of “Spatial Entropy and Landscape Analysis” (Springer VS) and “Spatial Complexity: Theory, Mathematical Methods and Applications” (Springer).