Spatial-temporal Modeling of Linguistic Regions and Processes with Combined Indeterminate and Crisp Boundaries

The paper elaborates on the spatial-temporal modeling of linguistic and dialect phenomena. Language Geography—a branch of Human Geography—tries to enhance the visual exploration of linguistic data, and utilizes a number of methodologies from GIScience, whereas publications focusing on analyzing linguistic data in GIScience are hard to find. This research work highlights the representation of language and/or dialect regions with combined indeterminate and crisp boundaries—i.e. frontiers and borders. Both boundary “types” are necessary in order to model the spatial-temporal dynamics of language phenomena. The article analyzes the emerging, ending, moving and merging of linguistic/dialect regions and phenomena with respect to space and time and the boundary types. In order to represent frontiers or indeterminate boundaries, fuzzy logic is employed.

[1]  Giuliana Dettori,et al.  Towards a Formal Model for Multi-Resolution Spatial Maps , 1995, SSD.

[2]  Michael F. Worboys,et al.  From Objects to Events: GEM, the Geospatial Event Model , 2004, GIScience.

[3]  Alfred Lameli,et al.  Language and Space: An International Handbook of Linguistic Variation , 2010 .

[4]  Shawn C. Hoch,et al.  Geolinguistics: The Incorporation of Geographic Information Systems and Science , 2010 .

[5]  Max J. Egenhofer,et al.  Identity-based change: a foundation for spatio-temporal knowledge representation , 2000, Int. J. Geogr. Inf. Sci..

[6]  Lotfi A. Zadeh,et al.  Is there a need for fuzzy logic? , 2008, NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society.

[7]  Kathleen Stewart,et al.  Temporal Zooming , 2001, Trans. GIS.

[8]  Jay Lee,et al.  Spatial Analysis of Linguistic Data with GIS Functions , 1993, Int. J. Geogr. Inf. Sci..

[9]  S. Levinson,et al.  LANGUAGE AND SPACE , 1996 .

[10]  Peter A. Burrough,et al.  Natural Objects with Indeterminate Boundaries , 2020 .

[11]  John Nerbonne,et al.  Mapping Aggregate Variation , 2010 .

[12]  James H. Clark,et al.  Hierarchical geometric models for visible surface algorithms , 1976, CACM.

[13]  Phil Allmendinger,et al.  Soft Spaces, Fuzzy Boundaries, and Metagovernance: The New Spatial Planning in the Thames Gateway , 2009 .

[14]  H. Zimmermann.  Fuzzy programming and linear programming with several objective functions , 1978 .

[15]  T. Bernhardsen.  Geographic Information Systems: An Introduction , 1999 .

[16]  B. Parker,et al.  Toward an Understanding of Borderland Processes , 2006, American Antiquity.

[17]  Heinrich C. Mayr,et al.  Mapping Languages - Erfahrungen aus dem Projekt dbo@ema , 2008 .

[18]  Richard Schofield,et al.  The troubled historiography of classical boundary terminology , 2004 .

[19]  Fritz Frauchiger,et al.  The Geography of Language , 1945 .

[20]  Michael F. Worboys,et al.  Event‐oriented approaches to geographic phenomena , 2005, Int. J. Geogr. Inf. Sci..

[21]  John Nerbonne,et al.  Data-driven Dialectology , 2008 .

[22]  Jonas Rumpf,et al.  Structural analysis of dialect maps using methods from spatial statistics , 2009, Zeitschrift für Dialektologie und Linguistik.

[23]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[24]  Michael R. Hansen,et al.  Functional Programming Using F , 2013 .

[25]  Michael F. Worboys,et al.  Generalizing Graphs Using Amalgamation and Selection , 1999, SSD.

[26]  Chia-Yi Tony Pi.  Beyond the Isogloss: Isographs in Dialect Topography , 2006 .

[27]  Ladis K. D. Kristof.  THE NATURE OF FRONTIERS AND BOUNDARIES , 1959 .

[28]  Kathleen Stewart,et al.  Modeling Moving Geospatial Objects from an Event-based Perspective , 2007, Trans. GIS.

[29]  Johannes Scholz,et al.  Geoinformationstechnologien zur Analyse des Raum und Zeitbezugs bei Dialektwörtern , 2010 .

[30]  Damir Medak,et al.  Lifestyles - An Algebraic Approach to Change in Identity , 1999, Spatio-Temporal Database Management.

[31]  Robert Weibel,et al.  Measuring boundaries in the dialect continuum , 2015 .

[32]  Representation Change , .

[33]  Sabine Timpf,et al.  A Conceptual Model of Wayfinding Using Multiple Levels of Abstraction , 1992, Spatio-Temporal Reasoning.

[34]  M. Worboys.  Computation with imprecise geospatial data , 1998 .

[35]  Y. Leung.  On the Imprecision of Boundaries , 2010 .

[36]  Heinz Engels,et al.  Sudetendeutsches Wörterbuch : Wörterbuch der deutschen Mundarten in Böhmen und Mähren-Schlesien , 1988 .

[37]  Barry Smith,et al.  SNAP and SPAN: Towards Dynamic Spatial Ontology , 2004, Spatial Cogn. Comput..

[38]  Robert Weibel,et al.  Cartographic Visualization in Support of Dialectology , 2012 .

[39]  Kathleen Stewart,et al.  Using geolifespans to model dynamic geographic domains , 2010, Int. J. Geogr. Inf. Sci..

[40]  Volker Schmidt,et al.  Quantification and Statistical Analysis of Structural Similarities in Dialectological Area-Class Maps , 2010 .