Spatial Entropy And Landscape Analysis

This is the first book on spatial entropy in the scientific literature. It links spatial entropy with landscape analysis, landscape diversity and geo-information. It gives all the essential tools that a researcher needs in order to study the spatial entropy of physical as well as artificial landscapes (created with artificial life, swarm intelligence etc). This book explores the fascinating world of the interplay between spatial entropy, spatial information, self-organization and emergence and gives geographers and landscape scientists several alternative mathematical methods to study them, i.e. Shannon's formula, measures from non-extensive thermodynamics, from directional statistics and network theory. An essential book for researchers in landscape analysis and geo-informatics.

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.

This book shows how to successfully adapt entropy measures to the complexity of environmental data. It also provides a unified framework that covers all main entropy and spatial entropy measures in the literature, with suggestions for their potential use in the analysis of environmental data such as biodiversity, land use and other phenomena occurring over space or time, or both. First, recent literature reviews about including spatial information in traditional entropy measures are presented, highlighting the advantages and disadvantages of past approaches and the difference in interpretation of their proposals. A consistent notation applicable to all approaches is introduced, and the authors’ own proposal is presented. Second, the use of entropy in spatial sampling is focused on, and a method with an outstanding performance when data show a negative or complex spatial correlation is proposed. The last part of the book covers estimating entropy and proposes a model-based approach that differs from all existing estimators, working with data presenting any departure from independence: presence of covariates, temporal or spatial correlation, or both. The theoretical parts are supported by environmental examples covering point data about biodiversity and lattice data about land use. Moreover, a practical section is provided for all parts of the book; in particular, the R package SpatEntropy covers not only the authors’ novel proposals, but also all the main entropy and spatial entropy indices available in the literature. R codes are supplemented to reproduce all the examples. This book is a valuable resource for students and researchers in applied sciences where the use of entropy measures is of interest and where data present dependence on space, time or covariates, such as geography, ecology, biology and landscape analysis.

Geo-Topology is an exploration of the depth and breadth of the relationships between Geography and Topology, with applications ranging from Landscape Geography to Social Geography and from Spatial Analysis to Geospatial Technologies. It shows how topics of geographical research (landscapes, borders, spatial social relationships etc) can be examined by using mathematical concepts and methods of Topology, exposing the realm of geo-topological modelling and visualization through Point-Set Topology, Knot Theory, Reeb graphs, Topological Surfaces (i.e. Möbius bands and Klein bottles), Differential Topology, Network Analysis, Combinatorial Topology, Braid Theory and Ultrametric Topology. Besides geographers, this book is a trove of new ideas for landscape ecologists, mathematicians, data scientists, sociologists, psychologists, anthropologists and educators. Geo-Topology is a systematic introduction to topological thinking in Geography, also by highlighting the significance of Topology for Geographical Education, as well as for the Philosophy and Epistemology of Geography.

A key aspect of town planning, landscape planning and landscape architecture is to identify and then use the distinctive features and characteristics of space, place and landscape to achieve environmental quality. Landscape Analysis provides an introduction to the field both in theory and in practice. A wide range of methods and techniques for landscape analysis is illustrated by urban and rural examples from many countries. Analysing landscapes within a planning context requires both skill and insights. Drawing upon numerous concrete examples, together with an examination of some theoretical concepts, this book guides the reader through a wide range of different approaches and techniques of landscape analysis that may be applied at different scales, from elementary site analysis to historical and regional studies. This is an essential book for students and graduate practitioners working in landscape architecture, planning and architecture.

In the face of great challenges, utopian thinking is currently in vogue. The fact that utopias, with their ideas of an idealized target society, are not compatible with the basic features of an Open Society was already pointed out by Karl Popper in his book 'Die Offene Gesellschaft und ihre Feinde' (The Open Society and its Enemies) under the impression of National Socialism and Stalinism. In the present book, further forms of Closed Societies and the principal similarities (and differences) of their construction are examined. This is done by drawing on Ralf Dahrendorf's concept of life chances, in which he deals with the interaction of options and ligatures. The ambivalence of Dahrendorf's understanding of ligatures, since they restrict options on the one hand, but also give them meaning on the other, is resolved by a threefold differentiation: into ethical and moral, internally and externally directed, and explicit and implicit ligatures. While the former are capable of enabling life chances, the latter tend to limit them. Based on this, the authors elaborate on the landscape (side) consequences of various closed societies and how ill-suited they are for dealing with current challenges.

The landscape we see and live in is an important part or our everyday lives, be they urban or rural. Environmental concern has grown in recent years, as a result of public awareness of the detrimental impact industry, transport and tourism can have on the ecosystem. This book examines the role of the new technologies of geographical information sys

This book is oriented on testing and developing the neopragmatic approach of horizontal geographies, in which we follow approaches of natural sciences, social sciences, and cultural studies. Regional focus is thereby put on a rapidly changing elemental space and its social representations, characterized by unstable and not well-defined hybridities: coastal Louisiana. This region is highly dynamic: the Mississippi River in particular, with its extensive sediments, has shifted the coastal fringe of present-day Louisiana into the Gulf of Mexico. This land gain is contrasted by natural processes, but also by processes resultant of human intervention which cause marine encroachment. A complex interplay of different aspects is directly and indirectly leading to coastal land loss which makes the question of how to describe emerging hybrid spaces virulent and highlights the limits of a positivist understanding of boundaries that is also physically geographical. In the neopragmatic tradition, positivist research findings will be framed in social constructivist terms and supplemented by phenomenological approaches to Louisiana's coastal space, thus suggesting the need for and potentials of horizontal geographic integration of different theoretical and methodological approaches as well as researcher perspectives and data bases.