Cambios en la estructura del paisaje del Alt Empordà en el período 1957-2001

El paisaje, concebido como una unidad espacial y temporalmente pluriescalar caracterizada por unos patrones de distribución - una estructura-, unas funciones y una red de flujos de materia, energía e información (Forman y Godron, 1986), constituye un modelo apropiado para estudiar el territorio (Marull, 2002). En la presente investigación se hace un análisis de los cambios ocurridos en la estructura del mosaico paisajístico de la comarca de l´Alt Empordà entre 1957 y 2001, para ellos se divide la comarca en unidades paisajísticas basadas en criterios fisiográficos determinados a escala 1:25000. El análisis de la estructura paisajística de las diferentes unidades paisajísticas se ha realizado a través de indicadores de composición y de estructura según clases paisajísticas (cubiertas o usos del suelo), mediante el cálculo y análisis de indicadores de estructura desarrollados por la ecología del paisaje, los cuales, han permitido caracterizar y analizar las transformaciones en el tamaño, la forma y el arreglo espacial de los parches tipo que configuran el mosaico paisajístico. Para el proceso de cálculo y análisis espacial se han empleado los sistemas de información geográfica (SIGs), el programa Patch Analyst 1.2. La información cartográfica se elaboró a partir de ortofotomapas digitales y fotos aéreas generados por el ICC, así como de fuentes secundarias. Además, el trabajo incluye una aplicación teórico-metodológica a la identificación de redes ecológicas a través del uso de indicadores, así como el uso de inventarios fitosociológicos en la evaluación de hábitats borde.

Fractals and Scaling in Fracture Induced by Microcrack Coalescence

A numerical model is proposed to simulate fracture induced by the coalescence of numerous microcracks, in which the condition for coalescence between two randomly nucleated microcracks is determined in terms of a load-sharing principle. The results of the simulation show that, as the number density of nucleated microcracks increases, stochastic coalescence first occurs followed by a small fluctuation, and finally a newly nucleated microcrack triggers a cascade coalescence of microcracks resulting in catastrophic failure. The fracture profiles exhibit self-affine fractal characteristics with a universal roughness exponent, but the critical damage threshold is sensitive to details of the model. The spatiotemporal distribution of nucleated microcracks in the vicinity of critical failure follows a power-law behaviour, which implies that the microcrack system may evolve to a critical state.

Fractals in fracture of bulk metallic glass

We investigate the nanoscale periodic corrugation (NPC) structures on the dynamic fracture surface of a typical tough bulk metallic glass, submitted to high-velocity plate impact and scanned by atomic force microscopy (AFM). The detrended fluctuation analysis (DFA) of the recorded AFM profiles reveals that the valley landscapes of the NPC are nearly memoryless, characterized by Hurst parameter of 0.52 and exhibiting a self-similar fractal character with the dimension of about 1.48. Our findings confirm the existence of the “quasi-cleavage” fracture underpinned by tension transformation zones (TTZs) in metallic glasses.

SURFACE FRACTALS IN BLOCK-COPOLYMERS

A surface fractal model was presented to describe the interface in block copolymers. It gives a simple power-law relationship between the scattering intensity I(q) and the wave vector q in a relatively wide range as qxi >> 1, I(q) is-proportional-to q(D-6

Grey video compression methods using fractals

The authors' experience in the treatment of grey video compression using fractals is summarized and compared with other research in the same field. Experience with parallel and distributed computing is also discussed.

Double power laws, fractals and self-similarity

Power law (PL) distributions have been largely reported in the modeling of distinct real phenomena and have been associated with fractal structures and self-similar systems. In this paper, we analyze real data that follows a PL and a double PL behavior and verify the relation between the PL coefficient and the capacity dimension of known fractals. It is to be proved a method that translates PLs coefficients into capacity dimension of fractals of any real data.

Double power laws, fractals and self-similarity

Power law (PL) distributions have been largely reported in the modeling of distinct real phenomena and have been associated with fractal structures and self-similar systems. In this paper, we analyze real data that follows a PL and a double PL behavior and verify the relation between the PL coefficient and the capacity dimension of known fractals. It is to be proved a method that translates PLs coefficients into capacity dimension of fractals of any real data.

Modeling Vegetable Fractals by means of Fractional-order Equations

This paper characterizes four ‘fractal vegetables’: (i) cauliflower (brassica oleracea var. Botrytis); (ii) broccoli (brassica oleracea var. italica); (iii) round cabbage (brassica oleracea var. capitata) and (iv) Brussels sprout (brassica oleracea var. gemmifera), by means of electrical impedance spectroscopy and fractional calculus tools. Experimental data is approximated using fractional-order models and the corresponding parameters are determined with a genetic algorithm. The Havriliak-Negami five-parameter model fits well into the data, demonstrating that classical formulae can constitute simple and reliable models to characterize biological structures.