FracL: A Tool for Characterizing the Fractality of Landscape Gradients from a New Perspective

The past several years have witnessed much progress in landscape ecology and fractal analysis. In landscape ecology, the gradient model of landscape patterns (i.e., landscape gradient) has emerged as a new operating paradigm, where most landscape metrics do not apply because they were developed for the patch mosaic model. In the fractal analysis, a new definition of fractal has been proposed, and various new fractal metrics have been developed. This technical note aims to provide an intersection of these two lines of advance, which will further present an opportunity to advance geo-informatics by considering the latest progress in both landscape ecology and fractal analysis. We first present an overview of the new definition of fractal and all the fractal metrics developed under this new definition. Since the chief obstacle to geographers and landscape ecologists in applying these metrics is the lack of readily accessible methods for their easy computation, we then develop an integrated tool to compute them on landscape gradients. The developed tool facilitates the computation of these new fractal metrics. A case study was carried out with real-life landscape gradients, namely a digital terrain model. These new fractal metrics and the developed tool can be expected to facilitate the fractal characterization of the patterns of gradient landscapes and the understanding of landscape dynamics from a new perspective.

[1]  Peter Vogt,et al.  Describing and analyzing landscape patterns: where are we now, and where are we going? , 2019, Landscape Ecology.

[2]  Bin Jiang.  A Recursive Definition of Goodness of Space for Bridging the Concepts of Space and Place for Sustainability , 2019, Sustainability.

[3]  C. Oka-Fiori,et al.  Spatial correlation analysis between topographic parameters for defining the geomorphometric diversity index: application in the environmental protection area of the Serra da Esperança (state of Paraná, Brazil) , 2019, Environmental Earth Sciences.

[4]  Zhilin Li,et al.  Computation of the Boltzmann entropy of a landscape: a review and a generalization , 2019, Landscape Ecology.

[5]  Zhilin Li,et al.  Urban Allometric Scaling Beneath Structural Fractality of Road Networks , 2019, Annals of the American Association of Geographers.

[6]  Bin Jiang,et al.  Geographic space as a living structure for predicting human activities using big data , 2017, Int. J. Geogr. Inf. Sci..

[7]  Ze Yu,et al.  Suppression of Azimuth Ambiguities in Spaceborne SAR Images Using Spectral Selection and Extrapolation , 2018, IEEE Transactions on Geoscience and Remote Sensing.

[8]  Eric J. Gustafson,et al.  How has the state-of-the-art for quantification of landscape pattern advanced in the twenty-first century? , 2018, Landscape Ecology.

[9]  Jing Wang,et al.  Surface metrics for landscape ecology: a comparison of landscape models across ecoregions and scales , 2018, Landscape Ecology.

[10]  Samuel A. Cushman,et al.  Calculation of Configurational Entropy in Complex Landscapes , 2018, Entropy.

[11]  Jing He,et al.  Scaling relation of earthquake seismic data , 2018 .

[12]  B. Jiang,et al.  A Smooth Curve as a Fractal under the Third Definition , 2018, Cartogr. Int. J. Geogr. Inf. Geovisualization.

[13]  Ying Long,et al.  Understanding uneven urban expansion with natural cities using open data , 2017, Landscape and Urban Planning.

[14]  Bin Jiang,et al.  How Complex Is a Fractal? Head/tail Breaks and Fractional Hierarchy , 2017, Journal of Geovisualization and Spatial Analysis.

[15]  Wenjia Wu,et al.  A Zipf's Law-Based Method for Mapping Urban Areas Using NPP-VIIRS Nighttime Light Data , 2018, Remote. Sens..

[16]  Zachary Gichuru Mainuri,et al.  Spatial Variability of Soil Aggregate Stability in a Disturbed River Watershed , 2017 .

[17]  Hongrui Zhao,et al.  Unified Metrics for Characterizing the Fractal Nature of Geographic Features , 2017 .

[18]  Curtis M. Bradley,et al.  A multi-method approach to delineate and validate migratory corridors , 2017, Landscape Ecology.

[19]  Liu Zhao,et al.  Classification of PM2.5 for natural cities based on co-Kriging and head/tail break algorithms , 2017 .

[20]  Peichao Gao,et al.  A hierarchy-based solution to calculate the configurational entropy of landscape gradients , 2017, Landscape Ecology.

[21]  Aileen R. Buckley,et al.  Geospatial big data and cartography: research challenges and opportunities for making maps that matter , 2017 .

[22]  B. Jiang,et al.  A Socio-geographic Perspective on Human Activities in Social Media , 2016, 1611.05835.

[23]  Peichao Gao,et al.  CRG Index: A More Sensitive Ht-Index for Enabling Dynamic Views of Geographic Features , 2016 .

[24]  Kimmo Kaski,et al.  Calling Dunbar's numbers , 2016, Soc. Networks.

[25]  Gang Liu,et al.  Characterizing Traffic Conditions from the Perspective of Spatial-Temporal Heterogeneity , 2016, ISPRS Int. J. Geo Inf..

[26]  Zhihan Lv,et al.  Assessment of lively street network based on geographic information system and space syntax , 2017, Multimedia Tools and Applications.

[27]  Amy E. Frazier.  Surface metrics: scaling relationships and downscaling behavior , 2016, Landscape Ecology.

[28]  Jing He,et al.  Exploring the hierarchical structure in road network , 2015, Intelligent Earth Observing Systems.

[29]  Fractal or Scaling Analysis of Natural Cities Extracted from Open Geographic Data Sources , 2015 .

[30]  Ying Long,et al.  Mapping parcel-level urban areas for a large geographical area , 2014, ArXiv.

[31]  Yanguang Chen.  Urban chaos and replacement dynamics in nature and society , 2011, 1106.0887.

[32]  Jacques Baudry,et al.  A review on the use of entropy in landscape ecology: heterogeneity, unpredictability, scale dependence and their links with thermodynamics , 2014, Landscape Ecology.

[33]  B. Jiang,et al.  Ht-Index for Quantifying the Fractal or Scaling Structure of Geographic Features , 2013, 1305.0883.

[34]  Le Wang,et al.  Modeling landscape structure response across a gradient of land cover intensity , 2012, Landscape Ecology.

[35]  B. Jiang.  Computing the Image of the City , 2012, 1212.0940.

[36]  B. Jiang.  Head/Tail Breaks: A New Classification Scheme for Data with a Heavy-Tailed Distribution , 2012, 1209.2801.

[37]  Zhilin Li,et al.  Fractality and Self-Similarity in the Structure of Road Networks , 2012 .

[38]  Keming Ma,et al.  Multifractal pattern and process during a recent period of forest expansion in a temperate mountainous region of China , 2011, Ecol. Informatics.

[39]  Kevin McGarigal,et al.  Landscape ecology: Past, present, and future [Chapter 4] , 2010 .

[40]  J. Evans,et al.  Gradient modeling of conifer species using random forests , 2009, Landscape Ecology.

[41]  Kevin McGarigal,et al.  Surface metrics: an alternative to patch metrics for the quantification of landscape structure , 2009, Landscape Ecology.

[42]  Lael Parrott,et al.  Three-dimensional metrics for the analysis of spatiotemporal data in ecology , 2008, Ecol. Informatics.

[43]  Kevin McGarigal,et al.  Parsimony in landscape metrics: Strength, universality, and consistency , 2008 .

[44]  Brian Hanson,et al.  THE NATURE OF ORDER: AN ESSAY ON THE ART OF BUILDING AND THE NATURE OF THE UNIVERSE , 2005 .

[45]  L. Sage.  Second Light: The Biggest Stars , 2005 .

[46]  Vilis O. Nams,et al.  The VFractal: a new estimator for fractal dimension of animal movement paths , 1996, Landscape Ecology.

[47]  K. McGarigal,et al.  Issues and Perspectives in Landscape Ecology: The gradient concept of landscape structure , 2005 .

[48]  Kevin McGarigal,et al.  Behavior of class-level landscape metrics across gradients of class aggregation and area , 2004, Landscape Ecology.

[49]  Jianguo Wu.  Effects of changing scale on landscape pattern analysis: scaling relations , 2004, Landscape Ecology.

[50]  P. F. Fisher,et al.  Landscape metrics with ecotones: pattern under uncertainty , 2004, Landscape Ecology.

[51]  Scott V. Ollinger,et al.  Estimating regional forest productivity and water yield using an ecosystem model linked to a GIS , 1998, Landscape Ecology.

[52]  A. R. Johnson,et al.  A hierarchical framework for the analysis of scale , 1989, Landscape Ecology.

[53]  W. Budd.  Land mosaics: The ecology of landscapes and regions , 1996 .

[54]  R. Forman.  Land Mosaics: The Ecology of Landscapes and Regions , 1995 .

[55]  B. Milne.  Measuring the fractal geometry of landscapes , 1988 .

[56]  R. O'Neill,et al.  Landscape patterns in a disturbed environment , 1987 .

[57]  R. O'Neill.  A Hierarchical Concept of Ecosystems. , 1986 .

[58]  I. Good,et al.  Fractals: Form, Chance and Dimension , 1978 .

[59]  B. Mandelbrot.  How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension , 1967, Science.