Edge effects in lacunarity analysis

Feagin, Rusty A.; Wu, X. Ben; Feagin, T.

doi:10.1016/j.ecolmodel.2006.09.019

Cited by 24 publications

(21 citation statements)

References 33 publications

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“…A cellular automaton was designed for a finite number of l × l patches on a two-dimensional homogeneous patchy habitat with synchronous updating. A periodic boundary condition is adopted to avoid the edge effect (Sayama, 2004;Feagin et al, 2007), which is essentially equal to organize the patch on a globe. Simulation will be implemented according to two frameworks: the probability transition model (PTM) and the discrete event model (DEM).…”

Section: Spatially Explicit Modelmentioning

confidence: 99%

Spatiotemporal Dynamics of the Epidemic Transmission in a Predator-Prey System

Hui

Zhang

et al. 2008

Bull. Math. Biol.

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Epidemic transmission is one of the critical density-dependent mechanisms that affect species viability and dynamics. In a predator-prey system, epidemic transmission can strongly affect the success probability of hunting, especially for social animals. Predators, therefore, will suffer from the positive density-dependence, i.e., Allee effect, due to epidemic transmission in the population. The rate of species contacting the epidemic, especially for those endangered or invasive, has largely increased due to the habitat destruction caused by anthropogenic disturbance. Using ordinary differential equations and cellular automata, we here explored the epidemic transmission in a predator-prey system. Results show that a moderate Allee effect will destabilize the dynamics, but it is not true for the extreme Allee effect (weak or strong). The predator-prey dynamics amazingly stabilize by the extreme Allee effect. Predators suffer the most from the epidemic disease at moderate transmission probability. Counter-intuitively, habitat destruction will benefit the control of the epidemic disease. The demographic stochasticity dramatically influences the spatial distribution of the system. The spatial distribution changes from oil-bubble-like (due to local interaction) to aggregated spatially scattered points (due to local interaction and demographic stochasticity). It indicates the possibility of using human disturbance in habitat as a potential epidemic-control method in conservation.

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Section: Spatially Explicit Modelmentioning

confidence: 99%

Spatiotemporal Dynamics of the Epidemic Transmission in a Predator-Prey System

Hui

Zhang

et al. 2008

Bull. Math. Biol.

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“…However, as Cheng [12]points out, lacunarity analysis may be skewed by edge effects when quantifying a finite pattern. The problem occurs because as the gliding-box of size r is moved about the pattern, the values around the edges are under-sampled by the gliding-box, due to the fact that the gliding-box cannot overlap beyond the edge of the pattern.…”

Section: Lacunarity Analysismentioning

confidence: 99%

“…Lacunarity was calculated for each test drift using the gliding-box algorithm outlined above, from Formula (7) to (12), with a range of moving-window sizes varying from r =1m up to r =20m. The algorithm of lacunarity was plotted against the gliding box size, as illustrated in Fig.3.…”

Section: Evaluation Of Hurst and Launarity Indexmentioning

confidence: 99%

Study o f Local Mineralized Intensity Using Rescaled Range Analysis and Lacunarity Analysis

Wan¹,

Xie²,

Hu³

2013

JESTR

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In this paper, the gold grade series along drifts have been analyzed using two methods, rescaled range analysis and lacunarity analysis which are commonly used in nonlinear systems analysis. The aim of this study is to better understand the ore-forming processes and identify the local mineralized intensity and interactions that influence the spatial structure of gold element grade distribution, in the Dayingezhuang fault-controlled, disseminated-veinlet gold deposit in the Jiaodong gold province, eastern China. The result shows that the efficiency of two methods, in distinguishing between weakly mineralized, moderately mineralized and intensely mineralized of ore-forming area. It is obvious that the two parameters of both Hurst and lacunarity index in the weakly mineralized drifts are distinguished from those in the mineralized drifts, and the lower the index is, the more homogeneously distributed of the elements and the mineral intensity is relatively smaller. The methods used in this paper provide a relatively comprehensive description for local mineral intensity, offering an evidence for the identification of mineralization intensity and providing a guidance for further determination to the extent of deposit concentration and delineation of target mineralization zone.

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“…For instance, the fractal dimension (D) measures the set's space-filling ability (Mandelbrot, 1982); the degree of its translation invariance is quantified by lacunarity (Pendleton et al, 2005;Feagin, 2003;Feagin et al, 2007); the continuity and tortuosity of the pore and solid networks are measured by random-walk fractal dimensions (Korvin, 1992;Rodriguez-Iturbe and Rinaldo, 1997), or spectral dimension or fracton (Orbach, 1986). The main advantages and problems of fractal descriptor measurements have been described in details in some by now standard (Korvin, 1992;Barton and La Pointe, 1995;Falconer, 1997;Turcotte, 1997, etc.…”

Section: Measurement Techniques Of Fractal Metrologymentioning

confidence: 99%

Fractal Metrology for biogeosystems analysis

Argüelles¹,

Oleschko

Tarquis

et al. 2010

Biogeosciences

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Abstract. The solid-pore distribution pattern plays an important role in soil functioning being related with the main physical, chemical and biological multiscale and multitemporal processes of this complex system. In the present research, we studied the aggregation process as self-organizing and operating near a critical point. The structural pattern is extracted from the digital images of three soils (Chernozem, Solonetz and "Chocolate" Clay) and compared in terms of roughness of the gray-intensity distribution quantified by several measurement techniques. Special attention was paid to the uncertainty of each of them measured in terms of standard deviation. Some of the applied methods are known as classical in the fractal context (box-counting, rescaling-range and wavelets analyses, etc.) while the others have been recently developed by our Group. The combination of these techniques, coming from Fractal Geometry, Metrology, Informatics, Probability Theory and Statistics is termed in this paper Fractal Metrology (FM). We show the usefulness of FM for complex systems analysis through a case study of the soil's physical and chemical degradation applying the selected toolbox to describe and compare the structural attributes of three porous media with contrasting structure but similar clay mineralogy dominated by montmorillonites.

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Edge effects in lacunarity analysis

Cited by 24 publications

References 33 publications

Spatiotemporal Dynamics of the Epidemic Transmission in a Predator-Prey System

Spatiotemporal Dynamics of the Epidemic Transmission in a Predator-Prey System

Study o f Local Mineralized Intensity Using Rescaled Range Analysis and Lacunarity Analysis

Fractal Metrology for biogeosystems analysis

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