Topological invariance and spatial scaling of surface roughness in two highly eroded zones of Mexico: a comparative study

The Fractal Image Informatics toolbox (Oleschko et al., 2008 a; Torres-Argüelles et al., 2010) was applied to extract, classify and model the topological structure and dynamics of surface roughness in two highly eroded catchments of Mexico. Both areas are affected by gully erosion (Sidorchuk, 2005) and characterized by avalanche-like matter transport. Five contrasting morphological patterns were distinguished across the slope of the bare eroded surface of Faeozem (Queretaro State) while only one (apparently independent on the slope) roughness pattern was documented for Andosol (Michoacan State). We called these patterns ?the roughness clusters? and compared them in terms of metrizability, continuity, compactness, topological connectedness (global and local) and invariance, separability, and degree of ramification (Weyl, 1937). All mentioned topological measurands were correlated with the variance, skewness and kurtosis of the gray-level distribution of digital images. The morphology0 spatial dynamics of roughness clusters was measured and mapped with high precision in terms of fractal descriptors. The Hurst exponent was especially suitable to distinguish between the structure of ?turtle shell? and ?ramification? patterns (sediment producing zone A of the slope); as well as ?honeycomb? (sediment transport zone B) and ?dinosaur steps? and ?corals? (sediment deposition zone C) roughness clusters. Some other structural attributes of studied patterns were also statistically different and correlated with the variance, skewness and kurtosis of gray distribution of multiscale digital images. The scale invariance of classified roughness patterns was documented inside the range of five image resolutions. We conjectured that the geometrization of erosion patterns in terms of roughness clustering might benefit the most semi-quantitative models developed for erosion and sediment yield assessments (de Vente and Poesen, 2005).

Frequency and Intensity of drought events over Ebro River basin.

Lately, several researchers have pointed out that climate change is expected to increase temperatures and lower rainfall in Mediterranean regions, simultaneously increasing the intensity of extreme rainfall events. These changes could have consequences regarding rainfall regime, erosion, sediment transport and water quality, soil management, and new designs in diversion ditches. Climate change is expected to result in increasingly unpredictable and variable rainfall, in amount and timing, changing seasonal patterns and increasing the frequency of extreme weather events. Consequently, the evolution of frequency and intensity of drought periods is of most important as in agro-ecosystems many processes will be affected by them. Realising the complex and important consequences of an increasing frequency of extreme droughts at the Ebro River basin, our aim is to study the evolution of drought events at this site statistically, with emphasis on the occurrence and intensity of them. For this purpose, fourteen meteorological stations were selected based on the length of the rainfall series and the climatic classification to obtain a representative untreated dataset from the river basin. Daily rainfall series from 1957 to 2002 were obtained from each meteorological station and no-rain period frequency as the consecutive numbers of days were extracted. Based on this data, we study changes in the probability distribution in several sub-periods. Moreover we used the Standardized Precipitation Index (SPI) for identification of drought events in a year scale and then we use this index to fit log-linear models to the contingency tables between the SPI index and the sub-periods, this adjusted is carried out with the help of ANOVA inference.

Alteración del comportamiento hidráulico natural de la vertiente noreste de la marisma de El Rocío por efectos antrópicos

El geo-dinamismo torrencial es resultado de la incidencia de precipitaciones torrenciales en la cuenca hidrográfica, y se manifiesta por una intensificación del ciclo del agua (con la presencia de mayores volúmenes de escorrentía y la consiguiente aparición de repentinos y elevados caudales de avenida) e intensificación del ciclo de los sedimentos (mayor erosión del suelo, incremento del transporte de sedimentos en los cauces de drenaje y la formación de grades depósitos de sedimentos en el área dominada de la cuenca). Estos procesos naturales se pueden agravar si se realizan en la cuenca actuaciones que alteren sustancialmente su morfología; es el caso del arroyo del Partido, tributario a la marisma de El Rocío en el Parque Nacional de Doñana, cuyo encauzamiento del tramo final sobre su antiguo cono de sedimentación fue el causante de la formación de un nuevo cono de sedimentación sobre la marisma. Pero las intervenciones antrópicas también pueden dirigir el sistema hacia la estabilidad sedimentaria y el tramo final del arroyo del Partido ha experimentado asimismo actuaciones de carácter restaurador. El antiguo cono de sedimentación del arroyo del Partido es un lugar complejo en el que drenan también otros tres cursos que intercambian sus flujos con dicho arroyo durante las avenidas. Esta Memoria analiza cuatro situaciones del paraje objeto de estudio: la primera responde al estado original del lugar en cuestión (situación A); la segunda a la creada tras el encauzamiento del arroyo del Partido en 1981 (situación B); la tercera a la formada pasado un tiempo desde el encauzamiento, cuando el geo-dinamismo del lugar hizo sus efectos sobre el paraje en cuestión (situación C); y la cuarta la generada tras la restauración en el verano de 2006 del régimen hidráulico-sedimentario del arroyo del Partido con la Actuación núm. 3 del Proyecto Doñana 2005. Se han investigado los efectos que la alteración de la morfología del sistema de drenaje del antiguo cono de sedimentación del arroyo del Partido causa en los parámetros hidráulicos que desencadenan el geo-dinamismo torrencial. Para ello se han reproducido las condiciones morfológicas de las cuatro situaciones más representativas ya comentadas que ha experimentado el paraje en los últimos 30 años y que han condicionado el comportamiento de las avenidas torrenciales ocurridas en dicho periodo. En este contexto se ha elaborado un modelo hidrológico con el programa HECHMS a partir de la información disponible y un modelo hidrodinámico en 2D con el programa IBER; con este último se han comparado ocho escenarios característicos derivados de la incidencia de dos avenidas representativas de los eventos torrenciales de la zona sobre las morfologías contempladas. También se ha estudiado la tensión de arrastre de las avenidas dada su incidencia en el terreno sobre el que transitan, analizando de manera separada los efectos en los cuatro cauces de drenaje del antiguo cono de sedimentación y del resto de la superficie del mismo. La investigación realizada ha permitido describir minuciosamente el comportamiento de los drenajes locales del antiguo y complejo cono de sedimentación que bordea el noroeste de la marisma del Parque Nacional de Doñana, desde la marisma de El Rocío hasta la marisma gallega, lo que redundará en beneficio de la gestión del Parque Nacional de Doñana y de su entorno, y especialmente en la seguridad del perímetro oriental de la aldea de El Rocío. ABSTRACT The torrential geo-dynamism results from the effect of torrential precipitations on the hydrological watershed, and it shows ups with the intensification of the water cycle (with presence of higher volumes of run-off and the consequent appearance of sudden and high food flows) and intensification of the sediment cycle (higher soil erosion, increase of sediment transport in the drainage courses and the formation of big sediment deposits in the area downstream the watershed). These natural processes can worsen if actions that change the morphology of the watershed are carried out. It is the case of the Partido stream, tributary of the marsh of El Rocío in the Doñana National Park, whose channelization of the final stretch over its old alluvial fan was the cause of the formation of a new alluvial fan over the marsh. But human actions can also go toward the sediment stabilization, and the final stretch of the Partido stream has experienced restoration actions as well. The old alluvial fan of the Partido stream is a complex terrain where also other three courses exchange their flows during floods. This document analyses four situations of the area studied: the first corresponds to the original state of the place (situation A); the second is the state created after the channel of the Partido stream was built in 1981 (situation B); the third is the state formed after some time passed and the geo-dynamism caused effect in the channelization (situation C); and the forth situation is the one created after the restoration in summer of 2006 of the hydraulic-sedimentary regime of the Partido stream with de Action number 3 of the Doñana 2005 Project. It has been researched the effects that the alteration of the morphology of the drainage system of the old alluvial fan of the Partido stream causes to the hydraulic parameters that trigger the torrential geo-dynamism. For that, the morphologic conditions of the four more representative situations were reproduced. Those situations experienced in the area in the last 30 years have conditioned the behaviour of torrential floods in that period. In this context, a hydrologic model with HEC-HMS and a 2D hydro-dynamic model with IBER have been set up. With IBER, eight scenes have been compared resulting from the impact of two representative floods from torrential events in the region against the morphologies considered. Also, the shear stress of the floods on the terrain has been studied, analysing separately the effect in the four drainage courses of the old alluvial fan and in the rest of its surfaces. The research carried out has allowed describing in minute detail the behavior of the local drainages of the old and complex alluvial fan that border the northwest part of the marsh of Doñana National Park, from the marsh of El Rocío to the gallega marsh. This will result in benefit for the management of Doñana National Park and its surroundings, and especially for the safety of the eastern limit of El Rocío village.