Language Regression Associated With Autistic Regression and Electroencephalographic (EEG) Abnormalities: A Prospective Study.

We report a boy, referred at 25 months following a dramatic isolated language regression antedating autistic-like symptomatology. His sleep electroencephalogram (EEG) showed persistent focal epileptiform activity over the left parietal and vertex areas never associated with clinical seizures. He was started on adrenocorticotropic hormone (ACTH) with a significant improvement in language, behavior, and in EEG discharges in rapid eye movement (REM) sleep. Later course was characterized by fluctuations/regressions in language and behavior abilities, in phase with recrudescence of EEG abnormalities prompting additional ACTH courses that led to remarkable decrease in EEG abnormalities, improvement in language, and to a lesser degree, in autistic behavior. The timely documentation of regression episodes suggesting an "atypical" autistic regression, striking therapy-induced improvement, fluctuation of symptomatology over time could be ascribed to recurrent and persisting EEG abnormalities.

Clinical, polysomnographic and genome-wide association analyses of narcolepsy with cataplexy: a European Narcolepsy Network study.

The aim of this study was to describe the clinical and PSG characteristics of narcolepsy with cataplexy and their genetic predisposition by using the retrospective patient database of the European Narcolepsy Network (EU-NN). We have analysed retrospective data of 1099 patients with narcolepsy diagnosed according to International Classification of Sleep Disorders-2. Demographic and clinical characteristics, polysomnography and multiple sleep latency test data, hypocretin-1 levels, and genome-wide genotypes were available. We found a significantly lower age at sleepiness onset (men versus women: 23.74 ± 12.43 versus 21.49 ± 11.83, P = 0.003) and longer diagnostic delay in women (men versus women: 13.82 ± 13.79 versus 15.62 ± 14.94, P = 0.044). The mean diagnostic delay was 14.63 ± 14.31 years, and longer delay was associated with higher body mass index. The best predictors of short diagnostic delay were young age at diagnosis, cataplexy as the first symptom and higher frequency of cataplexy attacks. The mean multiple sleep latency negatively correlated with Epworth Sleepiness Scale (ESS) and with the number of sleep-onset rapid eye movement periods (SOREMPs), but none of the polysomnographic variables was associated with subjective or objective measures of sleepiness. Variant rs2859998 in UBXN2B gene showed a strong association (P = 1.28E-07) with the age at onset of excessive daytime sleepiness, and rs12425451 near the transcription factor TEAD4 (P = 1.97E-07) with the age at onset of cataplexy. Altogether, our results indicate that the diagnostic delay remains extremely long, age and gender substantially affect symptoms, and that a genetic predisposition affects the age at onset of symptoms.

Adaptations of two specialist herbivores to movement on the hairy leaf surface of their host, Solanum guaraniticum Hassl (Solanaceae)

Plant trichomes can difficult the attachment and movement of small insects. Here, we examine the hypothesis that the success on the use of densely haired hosts by two cassidine species is determined by differential morphology and behavior. Larvae of Gratiana graminea (Klug, 1829) and Gratiana conformis (Boheman, 1854) move on the leaf surface of their host, Solanum guaraniticum Hassl by anchoring their tarsungulus on the trichome rays or by inserting the tarsungulus tip directly into epidermis. This kind of movement is only possible due to a similar tarsungulus shape among the species. Tarsungulus growth pattern is also similar between species, being relatively small on the posterior aperture, matching the diameter of the host plant trichome rays. The tarsungulus shape associated with differences on ontogenetic growth and attachment pattern allow these two Cassidinae larvae to efficiently move on the pubescent leaf surface of their host.

On the drivers of commodity co-movement: Evidence from biofuels

We use the recent introduction of biofuels to study the effect of industry factors on the relationshipsbetween wholesale commodity prices. Correlations between agricultural products and oilare strongest in the 2005-09 period, coinciding with the boom of biofuels, and remain substantialuntil 2011. We disentangle three possible drivers for the linkage: substitution, energy costs, andfinancialization. The timing and magnitude of the biofuels-to-oil relationships are different to thoseof other commodities, and far higher than can be justified by costs and financialization. Substitutionand costs drive the monthly correlations of long-term futures, and each of the three contributeequally to the daily co-movement of the short-term ones. The findings survive many robustnesschecks and appear in the stock market.

Active civic participation of immigrants in Portugal

Portugal’s historical past strongly influences the composition of the country’s immigrant population. The main third-country foreign nationals in Portugal originate traditionally from Portuguese-speaking African countries (namely Cape Verde, Angola, Guinea Bissau, and S. Tomé e Príncipe) and Brazil. In 2001, a newly created immigrant status entitled “permanence” authorization uncovered a quantitative and a qualitative change in the structure of immigrant population in Portugal. First, there was a quantitative jump from 223.602 foreigners in 2001 to 364.203 regularized foreigners in 2003. Secondly, there was a substantial qualitative shift in the composition of immigrants. The majority of the new immigrants began coming from Eastern European countries, such as Ukraine, Moldavia, Romania, and the Russian Federation. Thus, European countries outside the E.U. zone now rank second (after African countries) in their contribution of individuals to the stocks of immigrant population in Portugal. The differences between the new and traditional immigration flows are visible in the geographical distribution of immigrants and in their insertion into the labour market. While the traditional flows would congregate around the metropolitan area of Lisbon and in the Algarve, the new migratory flows tend to be more geographically dispersed and present in less urbanized areas of Portugal. In terms of insertion in the labour market, although the construction sector is still the most important industry for immigrant labour, Eastern European workers may also be found in the agriculture and manufacturing sectors. The institutional conditions that encourage immigrants’ civic participation are divided at three different levels: the state, the local, and the civil society levels. At the state level, the High Commissioner for Migrations and Ethnic Minorities is the main organizational structure along with a set of interrelated initiatives operating under specific regulatory frameworks, which act as mediators between state officials and the Portuguese civil society, and more specifically, immigrant communities. At the local level, some municipalities created consultative councils and municipal departments aiming at encouraging the participation and representation of interests from immigrant groups and association in local policies. In the civil society sphere, the main actors in Portugal spurring immigrants civic participation are immigrant associations, mainstream associations directed toward immigration topics, and unions. The legal conditions framing immigrants’ access to social housing, education, health, and social security in Portugal are also considered to be positive. Conditions restricting immigrants’ civic participation are mainly normative and include the Portuguese nationality law, the regulations shaping the political participation of immigrants, namely in what concerns their right to vote, and employment regulations restricting immigrants’ access to public administration positions. Part II of the report focuses on the active civic participation of third country immigrants. First, reasons for the lack of research on this issue in Portugal are explained. On the one hand, the recent immigration history and the more urgent needs regarding school and economic integration kept this issue out of the research spotlight. On the other hand, it was just in the beginning of the 1990s that immigrants took the very first steps toward collective mobilisation. Secondly, the literature review of Portuguese bibliography covers research on third country immigrants’ associative movement, research on local authorities’ policies and discussion about ethnic politics and political mobilisation of immigrants in Portugal. As political mobilisation of these groups has been made mainly through ethnic and/or migrant organisations, a brief history of immigrants' associative movement is given. Immigrant associations develop multiple roles, covering the social, the cultural, the economic and the political domains. Political claiming for the regularisation of illegal immigrants has been a permanent and important field of intervention since the mid-1990s. Research results reveal the com5 plex relations between ethnic mobilisation and the set of legal and institutional frameworks developed by local and national governmental authorities targeted to the incorporation of minority groups. Case studies on the Oeiras district and on the Amadora district are then presented. Conclusions underline that the most active immigrant groups are those from Cape Verde and Guinea Bissau, since these groups have constituted a higher number of ethnic associations, give priority to political claiming and present a more politicised discourse. Reflecting on the future of research on civic participation of third country immigrants in Portugal, the authors state that it would be interesting and relevant to compare the Portuguese situation with those of other European countries, with an older immigration history, and analyse how the Portuguese immigrants’ associative movement will be affected by a changing legal framework and the emergence of new opportunities within the set of structures regarding the political participation of minority groups.

Trunk neuromuscular responses to a single whole-body vibration session in patients with chronic low back pain: a cross-sectional study.

OBJECTIVE: Whole-body vibration (WBV) exercise is progressively adopted as an alternative therapeutic modality for enhancing muscle force and muscle activity via neurogenic potentiation. So far, possible changes in the recruitment patterns of the trunk musculature after WBV remain undetermined. The main objective of this study was to evaluate the short-term effects of a single WBV session on trunk neuromuscular responses in patients with chronic low back pain (cLBP) and healthy participants. METHODS: Twenty patients with cLBP and 21 healthy participants performed 10 trunk flexion-extensions before and after a single WBV session consisting of five 1-minute vibration sets. Surface electromyography (EMG) of erector spinae at L2-L3 and L4-L5 and lumbopelvic kinematic variables were collected during the trials. Data were analyzed using 2-way mixed analysis of variance models. RESULTS: The WBV session led to increased lumbar EMG activity during the flexion and extension phases but yielded no change in the quiet standing and fully flexed phases. Kinematic data showed a decreased contribution to the movement of the lumbar region in the second extension quartile. These effects were not different between patients with cLBP and healthy participants. CONCLUSIONS: Increased lumbar EMG activity after a single WBV session most probably results from potentiation effects of WBV on lumbar muscles reflex responses. Decreased EMG activity in full trunk flexion, usually observed in healthy individuals, was still present after WBV, suggesting that the ability of the spine stabilizing mechanisms to transfer the extension torque from muscles to passive structures was not affected.

Self-paced Movement Intention Detection from Human Brain Signals: Invasive and Non-invasive EEG

Neural signatures of humans' movement intention can be exploited by future neuroprosthesis. We propose a method for detecting self-paced upper limb movement intention from brain signals acquired with both invasive and noninvasive methods. In the first study with scalp electroencephalograph (EEG) signals from healthy controls, we report single trial detection of movement intention using movement related potentials (MRPs) in a frequency range between 0.1 to 1 Hz. Movement intention can be detected above chance level (p<0.05) on average 460 ms before the movement onset with low detection rate during the on-movement intention period. Using intracranial EEG (iEEG) from one epileptic subject, we detect movement intention as early as 1500 ms before movement onset with accuracy above 90% using electrodes implanted in the bilateral supplementary motor area (SMA). The coherent results obtained with non-invasive and invasive method and its generalization capabilities across different days of recording, strengthened the theory that self-paced movement intention can be detected before movement initiation for the advancement in robot-assisted neurorehabilitation.

Preliminary slope mass movement susceptibility mapping using DEM and LiDAR DEM

Hazard mapping in mountainous areas at the regional scale has greatly changed since the 1990s thanks to improved digital elevation models (DEM). It is now possible to model slope mass movement and floods with a high level of detail in order to improve geomorphologic mapping. We present examples of regional multi-hazard susceptibility mapping through two Swiss case studies, including landslides, rockfall, debris flows, snow avalanches and floods, in addition to several original methods and software tools. The aim of these recent developments is to take advantage of the availability of high resolution DEM (HRDEM) for better mass movement modeling. Our results indicate a good correspondence between inventories of hazardous zones based on historical events and model predictions. This paper demonstrates that by adapting tools and methods issued from modern technologies, it is possible to obtain reliable documents for land planning purposes over large areas.

Brain structure in movement disorders: a neuroimaging perspective.

Purpose of review: An overview of recent advances in structural neuroimaging and their impact on movement disorders research is presented. Recent findings: Novel developments in computational neuroanatomy and improvements in magnetic resonance image quality have brought further insight into the pathophysiology of movement disorders. Sophisticated automated techniques allow for sensitive and reliable in-vivo differentiation of phenotype/genotype related traits and their interaction even at presymptomatic stages of disease. Summary: Voxel-based morphometry consistently demonstrates well defined patterns of brain structure changes in movement disorders. Advanced stages of idiopathic Parkinson's disease are characterized by grey matter volume decreases in basal ganglia. Depending on the presence of cognitive impairment, volume changes are reported in widespread cortical and limbic areas. Atypical Parkinsonian syndromes still pose a challenge for accurate morphometry-based classification, especially in early stages of disease progression. Essential tremor has been mainly associated with thalamic and cerebellar changes. Studies on preclinical Huntington's disease show progressive loss of tissue in the caudate and cortical thinning related to distinct motor and cognitive phenotypes. Basal ganglia volume in primary dystonia reveals an interaction between genotype and phenotype such that brain structure changes are modulated by the presence of symptoms under the influence of genetic factors. Tics in Tourette's syndrome correlate with brain structure changes in limbic, motor and associative fronto-striato-parietal circuits. Computational neuroanatomy provides useful tools for in-vivo assessment of brain structure in movement disorders, allowing for accurate classification in early clinical stages as well as for monitoring therapy effects and/or disease progression.

Of housing and politics : mapping political opportunities for mobilising in Bangalore, India

Quelles sont les conditions pour l'émergence d'une mobilisation sociale en faveur du logement convenable dans la métropole de Bangalore (Inde)? Cette question, qui est au coeur de cette thèse, est particulièrement pertinente dans le contexte d'une ville où 1,7 million de personnes, soit un cinquième de la population, vit dans des bidonvilles. L'absence d'un mouvement mettant en cause l'échec des politiques publiques du logement est intéressante dans la mesure où l'Inde a hérité un système de gouvernance colonial et d'une tradition de mouvements sociaux. Pour répondre à ce questionnement, un cadre théorique issu de la littérature sur les mouvements sociaux est développé. Il s'articule autour des liens entre les opportunités politiques au niveau macro et les répertoires d'action des organisations de mouvement social (OMS) au niveau méso, de la tension entre la formalité de la loi et des politiques publiques et l'informalité des circuits d'échange, de la corruption et du clientélisme, et enfin, se focalise sur les systèmes de discours de caste et de la citoyenneté et de leur concrétisation dans des systèmes d'organisations et de réseaux sociaux. Ce cadre théorique permet d'étudier empiriquement la question à travers quatre OMS dans la ville de Bangalore. Les résultats mettent en avant l'existence de mécanismes complexes. Les opportunités politiques formelles n'étant ouvertes que sur le plan rhétorique, elles ne peuvent être véritablement utilisées que par des moyens légaux ou contentieux, ce qui nécessite des compétences sociales dont la plupart des habitants des bidonvilles sont dépourvus. L'inadéquation entre les ressources à disposition pour les logements sociaux et les besoins très importants des pauvres, donne un poids politique considérable aux acteurs en charge de l'attribution de ces ressources rares. Cet état de fait a des répercussions sur la politique électorale. Les habitants des bidonvilles représentant un poids électoral important, ils sont mobilisés à travers de pratiques clientélistes. La corruption et le clientélisme se nourrissent mutuellement pour maintenir une certaine dépendance des habitants. Les OMS qui développent un répertoire discursif remettant en cause le système de caste et qui encouragent une conscience citoyenne, se sont avérées les plus durables pour résister à la cooptation des forces politiques. Cette recherche empirique met en lumière l'inadéquation entre les prescriptions formelles dans le domaine de la gouvernance des besoins humains, tels que le logement, et les pratiques réelles sur le terrain. Cette recherche appelle à réfléchir au-delà de la diffusion du discours sur la « bonne gouvernance » vers des formes de « gouvernance vernaculaire » qui prendrait au sérieux l'informalité en développant une compréhension des avantages à court terme pour les personnes marginalisées dans la ville et les effets à long terme sur la pratique démocratique. - What are the conditions for the emergence of a social movement on the issue of adequate housing in the metropolitan city of Bangalore (India)? This question is at the heart of this dissertation and is particularly pertinent against the background that an estimated 1.7 million or about 20% of the city's population lives in slums. The absence of a movement addressing the failure of public housing policy despite India having inherited colonial systems of governance and traditions of movement is noteworthy. Answers are sought within a theoretical framework stemming from social movement theories that incorporates three linkages articulating around: Macro-level political opportunities and meso-level action repertoires of social movement organisations (SMOs), tensions between the formality of law, policy and the informality of exchange circuits of corruption and clientelism and finally around systems of discourses of caste and citizenship and their instantiation in concrete systems of social organisations and networks. This thesis is empirically investigated through a qualitative case study research design involving four sampled social movement organisations. The results bring complex mechanisms to the fore. Formal political opportunities are only rhetorically open and have to be cracked through legal weaponry or contentious escalation, which requires considerable social skills that slum-dwellers often lack. The inadequacy between the few housing resources and the vast number of slum-dwellers transform housing benefits and urban service provisions into political currency. Such a state of affairs has serious repercussions on conditions for mobilisation. They become imbricated with electoral logic, in which slum-dwellers represent large vote-banks and where corruption and clientelism feed each other to maintain a certain dependency of the poor. SMOs deploying a discursive repertoire that questioned the caste system and encouraged a pursuit of citizenship proved to be the most sustainable to resist co-option from political forces. This empirical investigation brings to light the mismatch between the formal prescriptions in the domain of the governance of basic human needs such as housing and the real practices on the ground. This research calls to reflect beyond the inadequacy of the diffused « good governance » discourse towards forms of « vernacular governance » that take informality seriously in understanding the short-term benefits for the marginalised in the city and the long-term effects on democratic practice.

Efficiency and safety of bilateral contemporaneous pallidal stimulation (deep brain stimulation) in levodopa-responsive patients with Parkinson's disease with severe motor fluctuations: a 2-year follow-up review.

OBJECT: The aim of this study was to evaluate the long-term safety and efficacy of bilateral contemporaneous deep brain stimulation (DBS) in patients who have levodopa-responsive parkinsonism with untreatable motor fluctuations. Bilateral pallidotomy carries a high risk of corticobulbar and cognitive dysfunction. Deep brain stimulation offers new alternatives with major advantages such as reversibility of effects, minimal permanent lesions, and adaptability to individual needs, changes in medication, side effects, and evolution of the disease. METHODS: Patients in whom levodopa-responsive parkinsonism with untreatable severe motor fluctuations has been clinically diagnosed underwent bilateral pallidal magnetic resonance image-guided electrode implantation while receiving a local anesthetic. Pre- and postoperative evaluations at 3-month intervals included Unified Parkinson's Disease Rating Scale (UPDRS) scoring, Hoehn and Yahr staging, 24-hour self-assessments, and neuropsychological examinations. Six patients with a mean age of 55 years (mean 42-67 years), a mean duration of disease of 15.5 years (range 12-21 years), a mean "on/off' Hoehn and Yahr stage score of 3/4.2 (range 3-5), and a mean "off' time of 40% (range 20-50%) underwent bilateral contemporaneous pallidal DBS, with a minimum follow-up period lasting 24 months (range 24-30 months). The mean dose of levodopa in these patients could not be changed significantly after the procedure and pergolide was added after 12 months in five patients because of recurring fluctuations despite adjustments in stimulation parameters. All but two patients had no fluctuations until 9 months. Two of the patients reported barely perceptible fluctuations at 12 months and two at 15 months; however, two patients remain without fluctuations at 2 years. The mean improvements in the UPDRS motor score in the off time and the activities of daily living (ADL) score were more than 50%; the mean off time decreased from 40 to 10%, and the mean dyskinesia and complication of treatment scores were reduced to one-third until pergolide was introduced at 12 months. No significant improvement in "on" scores was observed. A slight worsening after 1 year was observed and three patients developed levodopa- and stimulation-resistant gait ignition failure and minimal fluctuations at 1 year. Side effects, which were controlled by modulation of stimulation, included dysarthria, dystonia, and confusion. CONCLUSIONS: Bilateral pallidal DBS is safe and efficient in patients who have levodopa-responsive parkinsonism with severe fluctuations. Major improvements in motor score, ADL score, and off time persisted beyond 2 years after the operation, but signs of decreased efficacy started to be seen after 12 months.

Estimating sex-specific dispersal rates with autosomal markers in hierarchically structured populations.

A recent study suggests that sex-specific dispersal rates can be quantitatively estimated on the basis of sex- and state-specific (pre- vs. postdispersal) F-statistics. In the present paper, we extend this approach to account for the hierarchical structure of natural populations, and we validate it through individual-based simulations. The model is applied to an empirical data set consisting of 536 individuals (males, females, and predispersal juveniles) of greater white-toothed shrews (Crocidura russula), sampled according to a hierarchical design and typed for seven autosomal microsatellite loci. From this dataset, dispersal is significantly female biased at the local scale (breeding-group level), but not at the larger scale (among local populations). We argue that selective pressures on dispersal are likely to depend on the spatial scale considered, and that short-distance dispersal should mainly respond to kin interactions (inbreeding or kin competition avoidance), which exert differential pressure on males and females.

Politique et réseaux. Logiques de la mobilisation politique populaire dans une vallée alpine 1839-1900

Résumé: Depuis plusieurs années, le thème des réseaux sociaux est au centre de l'intérêt des études historiques. Est-il possible de formaliser l'analyse de réseaux sociaux spécifiques - parenté, clientèle, solidarités locales, etc. - afin d'en analyser l'influence sur des événements historiques et des individus précis ? L'étude présentée prend en considération les luttes souvent violentes entre radicaux et conservateurs dans le Val de Bagnes, en Valais (Suisse), entre 1839 et 1900. La comparaison entre les généalogies des familles de la vallée et les informations sur la vie politique et sociale nous permet de relever l'influence de la parenté dans l'organisation des factions politiques. Les réseaux de parenté sont toutefois ouverts et souples, permettant des adaptations aux évolutions de la situation politique, économique et sociale. L'affaire autour du faux-monnayeur italien Joseph S. Farinet, dans les années 1870, nous permet par exemple de suivre l'évolution des réseaux de solidarité, à la suite d'une crise politique, ainsi que l'émergence de nouvelles activités économiques, notamment le tourisme, avec les hôteliers, les aubergistes et les guides de montagne souvent liés au milieu radical. L'analyse permet également de nuancer l'influence des réseaux de patronage : les collaborations horizontales, à l'intérieur des classes populaires, semblent mieux expliquer les solidarités politiques. Abstract: For several years, historians have been closely concerned with the question of social networks. Is it possible to conceptualize specific networks - like kinship, patronage or local solidarities - and to analyze their influence on concrete individuals or historical events? This paper considers the violent struggles between a radical political faction and a conservative one in a Swiss alpine valley, the Val de Bagnes (Valais) between 1839 and 1900. It compares information about political and social conflicts in the valley with genealogies of local families. By this way the eminent influence of kinship ties on political organizations becomes visible. But kinship networks are open and very supple, allowing adaptations to new political and social configurations. The trials against the Italian smuggler and counterfeiter Joseph S. Farinet in the Seventies allow to describe the evolution of local cooperation networks as a consequence of a political crisis in the canton of Valais and of new economic activities. The paper stresses the active role of a emerging group of hotel- or inn-owners and mountain guides, often closely tied with the radical milieu. The analysis of social transactions raises critical questions about the role of patronage in political mobilization: horizontal cooperation and kinship ties between peasants, small cattle owners and artisans seem to explain political solidarities better than patronage structures.

Soil phosphorus fractions in sandy soils amended with cattle manure for long periods

Phosphorus fractions were determined in soil samples from areas fertilized or not with farmyard cattle manure (FYM) and in samples of FYM used in the semi-arid region of Paraiba state, Brazil. Soil samples were taken from the 0-20; 20-40 and 40-60 cm layers of 18 cultivated areas, which, according to interviews with farmers, had been treated with 12 to 20 t ha-1 FYM annually, for the past 2 to 40 years. Soil samples were also collected from four unfertilized pasture areas as controls. Phosphorus in the soil samples was sequentially extracted with water (Pw), resin (Pres), NaHCO3 (Pi bic and Po bic), NaOH (Pi hid and Po hid), H2SO4 (Pacid) and, finally, by digestion with H2SO4/H2O2 (Presd). Nine FYM samples were extracted with water, resin, Mehlich-1, H2SO4, NaOH or digestion with H2SO4/H2O2, not sequentially, and the extracts analyzed for P. The sampled areas had homogeneous, sandy and P-deficient soils; increases in total soil P (Pt) above the mean value of the control areas (up to 274 mg kg-1 in the 0-20 cm layer of the most P-enriched samples) were therefore attributed to FYM applications, which was the only external P input in the region. Regression analysis was used to study the relationship between soil P fractions and Pt. The Pacid fraction, related to Ca-P forms, showed the greatest increases (p < 0.01) as a result of FYM applications, rising from 8.4 mg kg-1 in a non-fertilized sample to 43.8 mg kg-1 in the sample with the highest Pt content. The sum of Pw, Pres and Pi bic, considered as labile P, showed comparable increases with Pacid, while Pi hid showed the smallest increase due to FYM applications. Organic P forms also increased, more so the fraction Po hid, considered less labile, than the more labile one, Po bic. The residual P fraction was practically half of Pt, independently of the Pt value. Increases in labile P, Pacid and organic P were justified by the high average concentration of Pw (36 %), Pacid (34 %), and Po hid (30 %) in the FYM. Significant changes in the proportion of P forms among soil layers indicated the downward movement of P in organic forms.

Modeling water movement in horizontal columns using fractal theory

Fractal mathematics has been used to characterize water and solute transport in porous media and also to characterize and simulate porous media properties. The objective of this study was to evaluate the correlation between the soil infiltration parameters sorptivity (S) and time exponent (n) and the parameters dimension (D) and the Hurst exponent (H). For this purpose, ten horizontal columns with pure (either clay or loam) and heterogeneous porous media (clay and loam distributed in layers in the column) were simulated following the distribution of a deterministic Cantor Bar with fractal dimension H" 0.63. Horizontal water infiltration experiments were then simulated using Hydrus 2D software. The sorptivity (S) and time exponent (n) parameters of the Philip equation were estimated for each simulation, using the nonlinear regression procedure of the statistical software package SAS®. Sorptivity increased in the columns with the loam content, which was attributed to the relation of S with the capillary radius. The time exponent estimated by nonlinear regression was found to be less than the traditional value of 0.5. The fractal dimension estimated from the Hurst exponent was 17.5 % lower than the fractal dimension of the Cantor Bar used to generate the columns.