Fractal Behaviour and Irregularity of Wetting Fronts in Heterogeneous Porous Media

The wetting front is the zone where water invades and advances into an initially dry porous material and it plays a crucial role in solute transport through the unsaturated zone. Water is an essential part of the physiological process of all plants. Through water, necessary minerals are moved from the roots to the parts of the plants that require them. Water moves chemicals from one part of the plant to another. It is also required for photosynthesis, for metabolism and for transpiration. The leaching of chemicals by wetting fronts is influenced by two major factors, namely: the irregularity of the fronts and heterogeneity in the distribution of chemicals, both of which have been described by using fractal techniques. Soil structure can significantly modify infiltration rates and flow pathways in soils. Relations between features of soil structure and features of infiltration could be elucidated from the velocities and the structure of wetting fronts. When rainwater falls onto soil, it doesn?t just pool on surfaces. Water ?or another fluid- acts differently on porous surfaces. If the surface is permeable (porous) it seeps down through layers of soil, filling that layer to capacity. Once that layer is filled, it moves down into the next layer. In sandy soil, water moves quickly, while it moves much slower through clay soil. The movement of water through soil layers is called the the wetting front. Our research concerns the motion of a liquid into an initially dry porous medium. Our work presents a theoretical framework for studying the physical interplay between a stationary wetting front of fractal dimension D with different porous materials. The aim was to model the mass geometry interplay by using the fractal dimension D of a stationary wetting front. The plane corresponding to the image is divided in several squares (the minimum correspond to the pixel size) of size length ". We acknowledge the help of Prof. M. García Velarde and the facilities offered by the Pluri-Disciplinary Institute of the Complutense University of Madrid. We also acknowledge the help of European Community under project Multi-scale complex fluid flows and interfacial phenomena (PITN-GA-2008-214919). Thanks are also due to ERCOFTAC (PELNoT, SIG 14)

Importance of canopy porosity into vineyard and the relationship with the grape maturity. Digital estimation method

In warm and dry climates, the use of porous systems should be required in order to allow a better leaf distribution inside the plant, causing more space in the clusters area and enhancing determined physiological processes so in the leaf (photosynthesis, v entilation, transpiration) as in berry (growth and maturation). Plant geometry indexes, yield and must composition have been studied in three different systems: sprawl with 12 shoots/m (S1); sprawl system with 18 shoots/m (S2) and vertical positioned syste m or VSP with 12 shoots/m (VSP1). Total leaf area increases as the crop load does, whoever surface area depends on to two factors: crop load and the training system (VSP vs. sprawl), which can provide differences in leaf exposure efficiencies. The main objective of this study was to validate digital photography measurements used to compare porosity differences among treatments and, as they affect plant microclimate and, therefore, yield and berry quality. Also, all previous studied indexes (LAI, SA, SFEr) tended to overestimate the relationship between exposed leaf surface and porosity of each treatment, but the use of digital method proved to be an effective tool in order to assess canopy porosity. Results showed that not positioned and free systems (sprawl) scored between 25- 50% more porosity in the clusters area than the fixed vertical system (VSP), which resulted in a better plant microclimate for test conditions, mainly by improving the exposure of internal clusters and internal canopy ventilation. On the other hand, higher crop load treatment (S2) showed a real increase in yield (16%) without any relevant change into must composition, even improving total anthocyanin content into berry during ripening

Importance of canopy porosity into vineyard and the relationship with the grape maturity. Digital estimation method

In warm and dry climates, the use of porous systems should be required in order to allow a better leaf distribution inside the plant, causing more space in the clusters area and enhancing determined physiological processes so in the leaf (photosynthesis, ventilation, transpiration) as in berry (growth and maturation). Plant geometry indexes, yield and must composition have been studied in three different systems: sprawl with 12 shoots/m (S1); sprawl system with 18 shoots/m (S2) and vertical positioned system or VSP with 12 shoots/m (VSP1). Total leaf area increases as the crop load does, whoever surface area depends on to two factors: crop load and the training system (VSP vs . sprawl), which can provide differences in leaf exposure efficiencies. The main objective of this study was to validate digital photography measurements used to compare porosity differences among treatments and, as they affect plant microclimate and, therefore, yield and berry quality. Also, all previous studied indexes (LAI, SA, SFEr) tended to overestimate the relationship between exposed leaf surface and porosity of each treatment, but the use of digital method proved to be an effective tool in order to assess canopy porosity. Results showed that not positioned and free systems (sprawl) scored between 25 - 50% more porosity in the clusters area than the fixed vertical system (VSP), which resulted in a better plant microclimate for test conditions, mainly by improving the exposure of internal clusters and internal canopy ventilation. On the other hand, higher crop load treatment (S2) showed a real increase in yield (16%) without any relevant change into must composition, even improving total anthocyanin content into berry during ripening

Thermographic imaging: assessment of drought and heat tolerance in Spanish germplasm of Brachypodium distachyon.

The annual grass Brachypodium distachyon has been recently recognized as the model plant for functional genomics of temperate grasses, including cereals of economic relevance like wheat and barley. Sixty-two lines of B. distachyon were assessed for response to drought stress and heat tolerance. All these lines, except the reference genotype BD21, derive from specimens collected in 32 distinct locations of the Iberian Peninsula, covering a wide range of geo- climatic conditions. Sixteen lines of Brachypodium hybridum, an allotetraploid closely related to B. distachyon were used as reference of abiotic-stress well-adapted genotypes. Drought tolerance was assessed in a green-house trial. At the rosette-stage, no irrigation was applied to treated plants whereas their replicates at the control were maintained well watered during all the experiment. Thermographic images of treated and control plants were taken after 2 and 3 weeks of drought treatment, when stressed plants showed medium and extreme wilting symptoms. The mean leaf temperature of stressed (LTs) and control (LTc) plants was estimated based upon thermographic records from selected pixels (183 per image) that strictly correspond to leaf tissue. The response to drought was based on the analysis of two parameters: LTs and the thermal difference (TD) between stressed and control plants (LTs – LTc). The response to heat stress was based on LTc. Comparison of the mean values of these parameters showed that: 1) Genotypes better adapted to drought (B. hybridum lines) presented a higher LTs and TD than B. distachyon lines. 2) Under high temperature conditions, watered plants of B. hybridum lines maintained lower LTc than those of B. distachyon. Those results suggest that in these species adaptation to drought is linked to a more efficient stomata regulation: under water stress stomata are closed, increasing foliar temperature but also water use efficiency by reducing transpiration. With high temperature and water availability the results are less definite, but still seems that opening stomata allow plants to increase transpiration and therefore to diminish foliar temperature.

Global research alliance modelling platform (GRAMP): an open web platform for modelling greenhouse gas emissions from agro-ecosystems

Carbon (C) and nitrogen (N) process-based models are important tools for estimating and reporting greenhouse gas emissions and changes in soil C stocks. There is a need for continuous evaluation, development and adaptation of these models to improve scientific understanding, national inventories and assessment of mitigation options across the world. To date, much of the information needed to describe different processes like transpiration, photosynthesis, plant growth and maintenance, above and below ground carbon dynamics, decomposition and nitrogen mineralization. In ecosystem models remains inaccessible to the wider community, being stored within model computer source code, or held internally by modelling teams. Here we describe the Global Research Alliance Modelling Platform (GRAMP), a web-based modelling platform to link researchers with appropriate datasets, models and training material. It will provide access to model source code and an interactive platform for researchers to form a consensus on existing methods, and to synthesize new ideas, which will help to advance progress in this area. The platform will eventually support a variety of models, but to trial the platform and test the architecture and functionality, it was piloted with variants of the DNDC model. The intention is to form a worldwide collaborative network (a virtual laboratory) via an interactive website with access to models and best practice guidelines; appropriate datasets for testing, calibrating and evaluating models; on-line tutorials and links to modelling and data provider research groups, and their associated publications. A graphical user interface has been designed to view the model development tree and access all of the above functions.

Testing of crop Models for Accurate Predictions of Evapotranspiration and crop Water Use

All crop models, whether site-specific or global-gridded and regardless of crop, simulate daily crop transpiration and soil evaporation during the crop life cycle, resulting in seasonal crop water use. Modelers use several methods for predicting daily potential evapotranspiration (ET), including FAO-56, Penman-Monteith, Priestley-Taylor, Hargreaves, full energy balance, and transpiration water efficiency. They use extinction equations to partition energy to soil evaporation or transpiration, depending on leaf area index. Most models simulate soil water balance and soil-root water supply for transpiration, and limit transpiration if water uptake is insufficient, and thereafter reduce dry matter production. Comparisons among multiple crop and global gridded models in the Agricultural Model Intercomparison and Improvement Project (AgMIP) show surprisingly large differences in simulated ET and crop water use for the same climatic conditions. Model intercomparisons alone are not enough to know which approaches are correct. There is an urgent need to test these models against field-observed data on ET and crop water use. It is important to test various ET modules/equations in a model platform where other aspects such as soil water balance and rooting are held constant, to avoid compensation caused by other parts of models. The CSM-CROPGRO model in DSSAT already has ET equations for Priestley-Taylor, Penman-FAO-24, Penman-Monteith-FAO-56, and an hourly energy balance approach. In this work, we added transpiration-efficiency modules to DSSAT and AgMaize models and tested the various ET equations against available data on ET, soil water balance, and season-long crop water use of soybean, fababean, maize, and other crops where runoff and deep percolation were known or zero. The different ET modules created considerable differences in predicted ET, growth, and yield.

Unearthing the roots of degradation of Quercus pyrenaica coppices: an integrative perspective from clonal structure to carbon budgets

Quercus pyrenaica es una especie rebrotadora de raíz intensa e históricamente aprovechada en monte bajo para la obtención de leñas, carbón y pastos. Debido al éxodo rural y a la aparición de nuevas fuentes energéticas, este aprovechamiento fue abandonado en la década de 1970. Desde entonces, las bajas producciones de madera y bellota y el puntisecado de los pies evidencian el generalizado estancamiento de estas masas. Uno de los mayores retos actuales de la selvicultura en el ámbito mediterráneo es encontrar usos alternativos para estos montes abandonados, siendo la conversión a monte alto una de las alternativas preferidas. Se han realizado resalveos de conversión, sin embrago, éstos se aplican sin un conocimiento integral de las causas de la degradación. En esta tesis doctoral, estudiamos un hipotético desequilibrio entre la parte radical y la parte aérea (R:S) de las cepas de rebollo como causa subyacente de su decaimiento. En una parcela experimental, aprovechada al menos desde el siglo XII, se realizaron análisis genéticos a priori para elucidar la estructura genética del rodal, y así estudiar la influencia del tamaño clonal en el funcionamiento de las cepas. Las cepas de mayor tamaño presentaron un menor crecimiento diametral de sus pies, así como mayores tasas de respiración radical, estimadas a partir de flujos internos de CO2 a través del xilema (FT) y de los flujos de CO2 del suelo. Estos resultados sugieren que el desequilibrio R:S aumenta con el tamaño clonal, dado que la eliminación periódica de órganos aéreos, al mismo tiempo que las raíces permanecen intactas, da lugar a un gran desarrollo del sistema radical que consume gran parte de los carbohidratos no estructurales (NSC) en respiración de mantenimiento, comprometiendo así el desarrollo de órganos aéreos. Se excavaron y pesaron dos cepas compuestas por cuatro y ocho pies, las cuales mostraron ratios R:S (0.5 y 1, respectivamente) superiores a los registrados en pies de origen sexual. Al igual que en otras especies rebrotadoras de raíz, se observaron altas concentraciones de NSC en las raíces (> 20% en primavera) y una gran proporción de albura en el sistema radical (52%) que alberga una notable reserva de NSC (87 kg en la cepa de mayor tamaño). En el sistema radical de dicha cepa, estimada mediante dataciones radiocarbónicas en 550 años de edad, se contaron 248 uniones radicales. La persistencia de sistemas radicales grandes, viejos, y altamente interconectados sugiere que la gran cantidad de recursos almacenados y consumidos en las raíces compensan un pobre desarrollo aéreo con una alta resiliencia vegetativa. Para un mejor entendimiento de los balances de carbono y del agotamiento de NSC en las cepas de rebollo, se midieron los flujos internos y externos de CO2 en troncos y los flujos de CO2 del suelo, y se estimó la respiración de órganos aéreos (RS) y subterráneos (RR). Estacionalmente, RS y RR reflejaron las dinámicas de flujo de savia y de crecimiento del tronco, y estuvieron determinadas principalmente por los flujos externos de CO2, dada la escasa contribución de FT a RS y RR (< 10% y < 2%, respectivamente). En una escala circadiana, la contribución de FT a RS aumentó hasta un 25% en momentos de alta transpiración. Las bajas concentraciones de CO2 en el xilema ([CO2] hasta un 0.11%) determinaron comparativamente unos bajos FT, probablemente causados por una limitada respiración del xilema y una baja resistencia a la difusión radial del CO2 impuestos por la sequía estival. Los pulsos de [CO2] observados tras las primeras lluvias de otoño apoyan esta idea. A lo largo del periodo vegetativo, el flujo medio de CO2 procedente del suelo (39 mol CO2 day-1) fue el mayor flujo respiratorio, tres y cuatro veces superior a RS (12 mol CO2 day-1) y RR (8-9 mol CO2 day-1), respectivamente. Ratios RR/RS menores que la unidad evidencian un importante peso de la respiración aérea como sumidero de carbono adicional. Finalmente, se ensayó el zanjado de raíces y el anillamiento de troncos como tratamientos selvícolas alternativos con el objetivo de aumentar las reservas de NSC en los troncos de las cepas. Los resultados preliminares desaconsejan el zanjado de raíces por el alto coste derivado posiblemente de la cicatrización de las heridas. El anillado de troncos imposibilitó el transporte de NSC a las raíces y aumentó la concentración de almidón por encima de la zona anillada, mientras que sistema radical se mantiene por los pies no anillados de la cepa. Son necesarias más mediciones y datos adicionales para comprobar el mantenimiento de esta respuesta positiva a largo plazo. Para concluir, destacamos la necesidad de estudios multidisciplinares que permitan una comprensión integral de la degradación de los rebollares ibéricos para poder aplicar a posteriori una gestión adecuada en estos montes bajos abandonados. ABSTRACT Quercus pyrenaica is a vigorous root-resprouting species intensively and historically coppiced for firewood, charcoal and woody pastures. Due to the rural exodus and the appearance of new energy sources, coppicing was abandoned towards 1970. Since then, tree overaging has resulted in stand stagnation displayed by slow stem growth, branch dieback, and scarce acorn production. The urgent need to find new alternative uses for abandoned coppices is recognized as one of the biggest challenges which currently faces Mediterranean silviculture; conversion into high forest by thinning is one of the preferred alternatives. For this aim, thinning has been broadly applied and seldom tested, although without a comprehensive understanding of the causes of stand stagnation. In this PhD study, we test the hypothesis of an imbalance between above- and below-ground organs, result of long term coppicing, as the underlying cause of Q. pyrenaica decay. In an experimental plot coppiced since at least the 12th century, genetic analyses were performed a priori to elucidate inconspicuous clonal structure of Q. pyrenaica to evaluate how clonal size affects the functioning of these multi-stemmed trees. Clonal size negatively affected diametric stem growth, whereas root respiration rates, measured by internal fluxes of CO2 through xylem (FT) and soil CO2 efflux, increased with clonal size. These results suggest root-to-shoot (R:S) imbalance intensifying with clonal size: periodic removal of aboveground organs whilst belowground organs remain undisturbed may have led to massive root systems which consume a great proportion of non-structural carbohydrates (NSC) for maintenance respiration, thus constraining aboveground performance. Furthermore, excavation of two multi-stemmed trees, composed by four and eight stems, revealed R:S ratios (0.5 and 1, respectively) greater than those reported for sexually regenerated trees. Moreover, as similarly observed in several root-resprouting species, NSC allocation to roots was favored ([NSC] > 20% in spring): a large proportion of sapwood maintained throughout the root system (52%) stored a remarkable NSC pool of 87 kg in the case of the largest clone. In this root system of the eight-stemmed tree, 248 root connections were counted and, by radiocarbon dating, its age was estimated to be 550-years-old. Persistence of massive, old and highly interconnected root systems suggests that enhanced belowground NSC storage and consumption reflects a trade-off between vegetative resilience and aboveground development. For a better understanding of tree carbon budget and the potential role of carbon starvation in Q. pyrenaica decay, internal and external stem CO2 fluxes and soil CO2 effluxes were monitored to evaluate respiratory costs above- and below-ground. On a seasonal scale, stem and root respiration (RS and RR) mirrored sap flow and stem growth dynamics. Respiration was determined to the greatest extent by external fluxes of CO2 to the atmosphere or soil, since FT accounted for a low proportion of RS and RR (< 10% and < 2%, respectively). On a diel scale, the contribution of FT to RS increased up to 25% at high transpiration rates. Comparatively low FT was determined by the low concentration of xylem CO2 registered ([CO2] as low as 0.11%), likely as a consequence of constrained xylem respiration and reduced resistance to CO2 radial diffusion imposed by summer drought. Xylem [CO2] pulses following first autumn rains support this idea. Averaged over the growing season, soil CO2 efflux was the greatest respiratory flux (39 mol CO2 day-1), three and four times greater than RS (12 mol CO2 day-1) and RR (8-9 mol CO2 day-1), respectively. Ratios of RR/RS below one evidence an additional and important weight of aboveground respiration as a tree carbon sink. Finally, root trenching and stem girdling were tested as complimentary treatments to thinning as a means to improve carbon reserves in stems of clonal trees. Preliminary results discouraged root trenching due to the high cost likely incurred for wound closure. Stem girdling successfully blocked NSC translocation downward, increasing starch concentrations above the girdled zone whilst the root system is fed by non-girdled stems within the clone. Further measurements and ancillary data are necessary to verify that this positive effect hold over time. To conclude, the need of multidisciplinary approaches for an integrative understanding on the functioning of abandoned Q pyrenaica coppices is highlighted for an appropriate management of these stands.

Respuestas anatómico fisiológicas frente a estrés hídrico en plantaciones de especies de crecimiento rápido para la producción de biomasa

El objetivo general de la presente Tesis es identificar algunas de las características anatómico-fisiológicas que confieren la capacidad de alcanzar una mejor productividad bajo clima mediterráneo a plantas de diversos genotipos de los géneros Populus y Eucalyptus, caracterizados por su carácter pionero, elevado crecimiento y vulnerabilidad a la cavitación. En los dos primeros capítulos se hace un seguimiento de la conductancia estomática a una selección de clones de eucalipto cultivados en invernadero, sometidos a diferentes dotaciones hídricas. Se realizaron además mediciones periódicas del pH de la savia del tallo y de la pérdida de conductividad hidráulica para investigar su implicación en la regulación química e hidraúlica del cierre estomático. Las variaciones en el pH de la savia obtenidas parecen responder a cambios en el déficit de presión de vapor de agua atmosférico y no a diferencias en la disponibilidad de agua en el suelo. La conductancia estomática presentó una correlación positiva significativa con el pH de la savia, pero no con la conductividad hidráulica. La variabilidad de la conductividad hidráulica máxima se discute a la luz de recientes investigaciones sobre los materiales constituyentes de las membranas de las punteaduras. Los clones que mostraron mayores conductancias hidráulicas y estomáticas presentaron valores más altos de producción y supervivencia, poniendo de manifiesto la utilidad del estudio de estas variables. Por el contrario, los valores más bajos de conductancia estomática e hidraúlica se encontraron en clones que han resultado un fracaso en plantaciones comerciales, en particular, fue destacable el mal resultado de un clon procedente de autocruzamiento respecto de otros híbridos. En el tercer capítulo de la tesis se estudian características anatómicas y funcionales del xilema relacionadas con la eficiencia en el transporte de agua a las hojas, y que pueden afectar directa o indirectamente a la transpiración y al crecimiento. Los estudios anatómicos fueron realizados sobre brotes anuales de chopo en una plantación situada en Granada, en condiciones de riego limitante. La combinación de rasgos anatómicos más favorable de cara a la producción de biomasa fue una densidad alta de vasos de diámetro intermedio. Los clones más productivos figuraron entre los más resistentes a la cavitación. Para estudiar el crecimiento de masas arboladas se utilizan frecuentemente parámetros fisiológicos como el índice de area foliar (LAI). La estimación del LAI a partir de fotografías hemisféricas aplicada a tallares de chopo plantados a alta densidad y a turno corto para biomasa se lleva a cabo mediante una metodología reciente empleada y discutida en el cuarto capítulo de la Tesis. Los resultados muestran que las diferencias de producción existentes entre genotipos, localidades de medición con diferentes dosis de riego, y años, pueden predecirse a partir de la determinación del índice de área foliar tanto por métodos directos como indirectos de estimación. Tanto los estudios realizados en eucalipto como en chopo han mostrado que los genotipos con menores producciones de biomasa en campo alcanzaron los menores valores de conductancia estomática en las condiciones más favorables así como el menor número de vasos en el xilema. La estrecha relación entre crecimiento y LAI confirma una vez más la importancia del desarrollo de la copa para sostener un buen crecimiento. El mayor desarrollo de la copa y rendimiento en biomasa se midieron en uno de los clones con un número de vasos más elevado, y menor vulnerabilidad a la cavitación en condiciones de estrés. Estos resultados ponen de manifiesto la importancia de las características anatómicas y funcionales del xilema como condicionantes del patrón de crecimiento de las plantas y el comportamiento de los estomas. ABSTRACT A number of anatomical xylem traits and physiological variables were analyzed in genotypes of both the Populus and Eucalyptus genera with the main aim of identifying traits in the genotypes which confer the ability to produce an acceptable biomass yield under Mediterranean climatic conditions. In the first two chapters of this PhD, the results of two experiments carried out on several clones of the species Eucalyptus globulus Labill. are presented. Chapters three and four include the results of another two trials on four poplar hybrid genotypes. One of the initial plant responses to water stress is stomatal closure, which can be triggered by hydraulic and/or chemical signals. The two first chapters of this PhD deal with trials in which stomatal conductance and percentage loss of hydraulic conductivity were monitored on a set of eucalyptus clones supplied by ENCE (former National Cellulose Company) and currently used in the company’s own commercial plantings. The experimental trials were carried out in greenhouses and the plants were submitted to two different watering regimes. The pH of the stem sap was periodically measured as the greenhouse temperature and humidity changed. The aim of these measurements was to investigate the role of both sap pH and percentage loss of hydraulic conductivity on stomatal regulation. The results obtained suggest that changes in sap pH are a response to vapor pressure deficit changes rather than to differences in soil water availability. We found significant correlation between stomatal conductance and sap pH, although no significant relationship was found between stomatal conductance and hydraulic conductivity. Variability in maximum hydraulic conductivity is discussed based on recent pit membrane constituent research. The study of hydraulic conductivity proved helpful in order to detect the clones with both higher growth and greater chance of survival, since clones displaying the lowest hydraulic conductivities were those that failed in commercial plantings. Anatomical xylem traits define the water transport efficiency to leaves and can therefore limit transpiration and growth. The third chapter of this PhD addresses anatomical xylem traits in poplar. One year old stem samples were taken from a water-stressed trial in Granada. The anatomical xylem study proved useful for detecting the lowest yielding genotypes. Clones with intermediate vessel size and high vessel densities were found to be those with the highest biomass yield. Differences in cavitation resistance depending on the clone tested and the water treatment applied were also found. The clones with the highest biomass yield were found to be among the most cavitation resistant clones in each watering regime. Xylem and physiological traits along with stomatal behavior are useful tools to determine plant growth. In order to study plantings or forests, it is more common to employ other physiological variables such as leaf area index (LAI). LAI estimation from hemispherical photographs applied to short rotation woody crops is a recently developed method that still requires fine tuning through further investigation. In the fourth chapter, data from LAI monitoring over two consecutive years were analyzed in two different locations where different irrigation treatments were applied. The results showed that differences in yield between genotypes, different irrigation regimes and years could be predicted by using the LAI estimates, either through direct or indirect estimation methods. Our studies of poplar and eucalyptus have shown that the field-grown genotypes with the lowest biomass yield displayed the lowest values of stomatal conductance under the most favorable environmental conditions and also had a low number of xylem conduits. The close relationship between LAI and growth highlights the importance of crown development in biomass growth. The highest LAI and biomass yield were recorded in one of the clones with higher vessel density and the lowest vulnerability to cavitation under stress conditions. These results underline the importance of research into anatomical and functional traits as factors influencing plant growth patterns and stomatal behavior.