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Las sernas constituyen uno de los principales espacios comunales altomedievales, pero su definición resulta esquiva. Dada la diversidad de cultivos, la clave debe encontrarse en las formas de organización y gestión. El artículo analiza cuatro casos de estudio situados en diferentes localidades del valle del Duero (Viñayo, Valdesaz de los Oteros y Villasinta de Torío) y en el actual norte de Portugal (Arouca). La evidencia prueba la existencia de un modelo basado en dos niveles de propiedad. Por un lado y en un nivel superior, una autoridad encargada de velar por la salvaguarda y el correcto uso de las sernas, actuando como árbitro en caso de conflicto o como defensor en caso de amenaza. Por otro lado, y en un nivel inferior, se encontrarían los derechos de acceso de las comunidades, los cuales permitían el aprovechamiento familiar de las diferentes unidades de explotación en las que podían estar divididas las sernas, probablemente a cambio de algún tipo de censo. Finalmente se vincula las sernas y su control con la noción de «economía moral» y las formas de legitimación del dominio social.

The multifractal relationship between reference evapotranspiration (ET0), computed by the Penmann-Monteith equation (PM), relative humidity (RH) and mean surface temperature (Tmean) was studied in the middle zone of the Guadalquivir River Valley (south Spain) in a previous study. This work extends that study to the average wind speed (U2) and solar radiation (SR), focusing on more recent years. All agro-meteorological variables were analyzed by multifractal detrended cross-correlation analysis (MFCCA) and multifractal detrended fluctuation analysis (MFDFA). The outcomes revealed persistent long-term autocorrelations, with Tmean and RH having the highest persistence (H>0.75). More precise results of multifractal properties than in the previous study were obtained for ET0, Tmean, and RH due to the elimination of trends in the signals. Only medium and large fluctuations in ET0 showed multifractal cross-correlations with its controlling factors, except for U2. Moreover, joint scaling exponents differed from individual exponents. These phenomena contrast with what has been observed in previous cross-correlation studies, revealing that some differences exist in the dynamics of multifractality among the analyzed variables. On the other hand, the Tmean–ET0 relation showed that extreme events in ET0 are mainly ruled by high temperature fluctuations, which match conclusions drawn in the previous study.

The last decades have been successively warmer at the Earth’s surface. An increasing interest in climate variability is appearing, and many research works have investigated the main effects on different climate variables. Some of them apply complex networks approaches to explore the spatial relation between distinct grid points or stations. In this work, the authors investigate whether topological properties change over several years. To this aim, we explore the application of the horizontal visibility graph (HVG) approach which maps a time series into a complex network. Data used in this study include a 60-year period of daily mean temperature anomalies in several stations over the Iberian Peninsula (Spain). Average degree, degree distribution exponent, and global clustering coefficient were analyzed. Interestingly, results show that they agree on a lack of significant trends, unlike annual mean values of anomalies, which present a characteristic upward trend. The main conclusions obtained are that complex networks structures and nonlinear features, such as weak correlations, appear not to be affected by rising temperatures derived from global climate conditions. Furthermore, different locations present a similar behavior and the intrinsic nature of these signals seems to be well described by network parameters.