Infinite time aggregation for the critical Patlak-Keller-Segel model in R2

We analyze the two-dimensional parabolic-elliptic Patlak-Keller-Segel model in the whole Euclidean space R2. Under the hypotheses of integrable initial data with finite second moment and entropy, we first show local in time existence for any mass of "free-energy solutions", namely weak solutions with some free energy estimates. We also prove that the solution exists as long as the entropy is controlled from above. The main result of the paper is to show the global existence of free-energy solutions with initial data as before for the critical mass 8 Π/Χ. Actually, we prove that solutions blow-up as a delta dirac at the center of mass when t→∞ keeping constant their second moment at any time. Furthermore, all moments larger than 2 blow-up as t→∞ if initially bounded.

Convergence of the mass-transport steepest descent scheme for the sub-critical Patlak-Keller-Segel model

Variational steepest descent approximation schemes for the modified Patlak-Keller-Segel equation with a logarithmic interaction kernel in any dimension are considered. We prove the convergence of the suitably interpolated in time implicit Euler scheme, defined in terms of the Euclidean Wasserstein distance, associated to this equation for sub-critical masses. As a consequence, we recover the recent result about the global in time existence of weak-solutions to the modified Patlak-Keller-Segel equation for the logarithmic interaction kernel in any dimension in the sub-critical case. Moreover, we show how this method performs numerically in one dimension. In this particular case, this numerical scheme corresponds to a standard implicit Euler method for the pseudo-inverse of the cumulative distribution function. We demonstrate its capabilities to reproduce easily without the need of mesh-refinement the blow-up of solutions for super-critical masses.

Pure motives, mixed motives and extensions of motives associated to singular surfaces

We first recall the construction of the Chow motive modelling intersection cohomology of a proper surface X and study its fundamental properties. Using Voevodsky's category of effective geometrical motives, we then study the motive of the exceptional divisor D in a non-singular blow-up of X. If all geometric irreducible components of D are of genus zero, then Voevodsky's formalism allows us to construct certain one-extensions of Chow motives, as canonical subquotients of the motive with compact support of the smooth part of X. Specializing to Hilbert-Blumenthal surfaces, we recover a motivic interpretation of a recent construction of A. Caspar.

Inheritance of ductile and brittle structures in the development of large rock slope instabilities: Examples from western Norway

The high density of slope failures in western Norway is due to the steep relief and to the concentration of various structures that followed protracted ductile and brittle tectonics. On the 72 investigated rock slope instabilities, 13 were developed in soft weathered mafic and phyllitic allochthons. Only the intrinsic weakness of such rocks increases the susceptibility to gravitational deformation. In contrast, the gravitational structures in the hard gneisses reactivate prominent ductile or/and brittle fabrics. At 30 rockslides along cataclinal slopes, weak mafic layers of foliation are reactivated as basal planes. Slope-parallel steep foliation forms back-cracks of unstable columns. Folds are specifically present in the Storfjord area, together with a clustering of potential slope failures. Folding increases the probability of having favourably orientated planes with respect to the gravitational forces and the slope. High water pressure is believed to seasonally build up along the shallow-dipping Caledonian detachments and may contribute to destabilization of the rock slope upwards. Regional cataclastic faults localized the gravitational structures at 45 sites. The volume of the slope instabilities tends to increase with the amount of reactivated prominent structures and the spacing of the latter controls the size of instabilities.

A mixed finite element method for nonlinear diffusion equations

We propose a mixed finite element method for a class of nonlinear diffusion equations, which is based on their interpretation as gradient flows in optimal transportation metrics. We introduce an appropriate linearization of the optimal transport problem, which leads to a mixed symmetric formulation. This formulation preserves the maximum principle in case of the semi-discrete scheme as well as the fully discrete scheme for a certain class of problems. In addition solutions of the mixed formulation maintain exponential convergence in the relative entropy towards the steady state in case of a nonlinear Fokker-Planck equation with uniformly convex potential. We demonstrate the behavior of the proposed scheme with 2D simulations of the porous medium equations and blow-up questions in the Patlak-Keller-Segel model.

A one-dimensional Keller-Segel equation with a drift issued from the boundary

We investigate in this note the dynamics of a one-dimensional Keller-Segel type model on the half-line. On the contrary to the classical configuration, the chemical production term is located on the boundary. We prove, under suitable assumptions, the following dichotomy which is reminiscent of the two-dimensional Keller-Segel system. Solutions are global if the mass is below the critical mass, they blow-up in finite time above the critical mass, and they converge to some equilibrium at the critical mass. Entropy techniques are presented which aim at providing quantitative convergence results for the subcritical case. This note is completed with a brief introduction to a more realistic model (still one-dimensional).

Bounds on multisecant lines

The purpose of this paper is two fold. First, we give an upper bound on the orderof a multisecant line to an integral arithmetically Cohen-Macaulay subscheme in Pn of codimension two in terms of the Hilbert function. Secondly, we givean explicit description of the singular locus of the blow up of an arbitrary local ring at a complete intersection ideal. This description is used to refine standardlinking theorem. These results are tied together by the construction of sharp examples for the bound, which uses the linking theorems.

Le Briançonnais, terrain exotique dans les Alpes ?

New reconstructions of the Western Alps from late Early Jurassic till early Tertiary are proposed. These reconstructions use deep lithospheric data gathered through recent seismic surveys and tomographic studies carried out in the Alps. The present day position, under the Po plain, of the southern limit of the European plate (fig. 1), allows to define the former geometry of the Brianconnais peninsula. The Brianconnais domain is regarded as an exotic terrane formerly belonging to the European margin until Late Jurassic, then transported eastward during the drift of Iberia (fig. 5). Therefore, on a present day Western Alps cross section, a duplication of the European continental margin can be recognized (fig. 10). Stratigraphic and sedimentological data along a zone linking the Pyrenean fracture zone to the Brianconnais, can be related to a rifting event starting in Oxfordian time. This event is responsible for the Late Jurassic till mid-Cretaceous drift of Iberia opening, first the northern Atlantic, then the Gulf of Biscay. Simultaneously, the drift of the Brianconnais will open the Valais ocean and close the Piemontese ocean. The resulting oblique collision zone between the Brianconnais and the Apulian margin generates HP/LT metamorphism starting in Early Cretaceous. The eastward drift of the Brianconnais peninsula will eventually bring it in front of a more northerly segment of the former European margin. The thrusting of the Brianconnais unto that margin takes place in early Tertiary (fig. 9), following the subduction of the Valais ocean. The present nappe pile results not only from continent/continent frontal collision, but also from important lateral displacement of terranes, the most important one being the Brianconnais. The dilemma of `'en echelon'' oceanic domains in the Alps is an outcome of these translations. A solution is found when considering the opening of a Cretaceous Valais ocean across the European margin, running out eastward into the Piemontese ocean, where the drift is taken up along a former transform fault and compensated by subduction under the Apulian margin (fig. 8). In the Western Alps we are then dealing with two oceans, the Piemontese and the Valaisan and a duplicated European margin. In the Eastern Alps the single Piemontese ocean is cut by newly created oceanic crust. All these elements will be incorporated into the Penninic structural domain which does not represent a former unique paleogeographic area, it is a composite accretionary domain squeezed between Europe and Apulia.

Hankinnan kokonaiskustannukset hankintapäätösten tukena. Case: Incap Furniture Oy

Tämän pro gradu -tutkielman tavoitteena oli tehdä hankinnan kokonaiskustannusmalli tietylle case-yrityksen tuotteelle. Tarkoituksena oli selvittää, mikä on hankinnan kokonaiskustannusten merkitys strategisen kustannusten hallinnan osana ja mitä mahdollisia työkaluja voidaan käyttää hankinnan kokonaiskustannusten mittaamiseen. Lisäksi tutkimuksessa selvitettiin kuinka hankinnan kokonaiskustannuspäätökset voivat auttaa hankintapäätösten teossa. Tutkimus on kvalitatiivinen ja muodostuu teoreettisesta ja empiirisestä osasta.Teoriaosa on luonteeltaan käsiteanalyyttinen ja empiriaosa vertaileva case-tutkimus. Teoreettisessa osassa selvitetään hankinnan kokonaiskustannusten teoriaa ja empiriaosassa tutkimus kohdennetaan case-yrityksen Forsby-jalkaan. Tutkimuksentuloksena syntyi case-yritykselle hankinnan kokonaiskustannusten malli, jota yritys käyttää ensisijaisesti toimittajien arviointiin. Hankinnan kokonaiskustannukset osoittautuivat tärkeäksi osaksi yrityksen strategista kustannusten hallintaa. Tutkimuksessa ilmeni, että kohdeyrityksen erityispiirteiden ja käytössä olevien resurssien huomioiminen on erittäin merkittävä asia hankinnan kokonaiskustannusmallia muodostettaessa. Lisäksi tutkimuksen teon aikana nousi esiin useita asioita, joita case-yrityksen on jatkossa kehitettävä.

Translation of polarity cues into asymmetric spindle positioning in "Caenorhabditis elegans"

Abstract: Asymmetric cell division is important to generate tissue diversity. The Caenorhabditis elegans embryo is well suited to study the mechanisms of asymmetric cell division. In wild type one-cell stage embryos, the spindle sets up along the anterior-posterior axis (AP). During anaphase, the spindle elongates. While the anterior spindle pole is relatively immobile, the posterior spindle pole moves towards the posterior cortex during anaphase leading to an asymmetric spindle position. As a result, the first cleavage gives rise to a large anterior blastomere and a smaller posterior one, which differs also in cell fate determinants. This posterior spindle displacement occurs in response to polarity cues set up along the AP axis by the PAR proteins and is due to imbalanced pulling forces acting on the two spindle poles, with net forces acting on the posterior spindle pole being more extensive than those at the anterior one. The project of my thesis was to characterize the involvement of two new components, gpr-1 and gpr-2, in spindle positioning. These genes encode essentially identical proteins containing a GoLoco motif characteristic of proteins interacting with α subunits of heterotrimeric G protein (Gα). In gpr-1/2(RNAi) embryos and in embryos lacking simultaneously two α subunits, goa-1 and gpa-16, (Ga(RNAi) embryos), there is a minimal posterior displacement of the spindle during anaphase, and the first division is equal. I found that the pulling forces acting on the two spindle poles is weak and equal in gpr-1/2(RNAi) and Gα (RNAi) embryos. I found that GPR-1/2 acts downstream of polarity cues for generation of pulling forces. Furthermore, I showed that GPR-1/2 distribution was enriched at the posterior cortex during metaphase whereas GOA-1 and GPA-16 were uniformly distributed at the cell cortex throughout the cell cycle. Gα subunits oscillate between GDP- and GTP-bound forms. Gα signaling is turned on by GDP/GTP exchange catalyzed by guanine nucleotide exchange factors (GEFs) and turned off by hydrolysis of GTP catalyzed by GTPase activating proteins (GAPs). A third class of proteins, the guanine dissociation inhibitors (GDIs), binds the GDP-bound form of Gα subunits and inhibits nucleotide exchange. I found that GPR-1/2 acts as a GDI for GOA-1. Taken together, my findings suggest a model in which differential activation of Gα subunits along the AP axis may translate into generation of differential pulling forces on the anterior and posterior spindle poles, and, thus, asymmetric cell division. Résumé L'embryon du nématode Caenorhabditis elegans est un modèle approprié pour étudier les mécanismes de la division asymétrique. Chez l'embryon précoce, le fuseau mitotique se forme le long de l'axe antéro-postérieur (A/P) et au centre de l'embryon, le pôle antérieur restant relativement immobile alors que le pôle postérieur du fuseau se déplace vers le cortex postérieur au cours de l'anaphase conduisant à une position excentrée du fuseau. 11 en résulte une première division qui génère un blastomère antérieur et postérieur de grande et petite taille respectivement et qui diffèrent en facteurs développementaux. Ce déplacement postérieur se produit en réponse de la polarité établie par la distribution polarisée des protéines PAR et est le résultat de la génération de forces inégales tirant sur les deux pôles du fuseau, les forces agissant sur le pôle postérieur du fuseau étant plus grandes. Le projet de ma thèse était d'identifier la fonction de deux nouveaux constituants, gpr-1 et gpr-2 dans le positionnement asymétrique du fuseau. Ces gènes codent essentiellement pour la même protéine qui contient un motif GoLoco, caractéristique des protéines interagissant avec la sous-unité alpha des protéines G hétérotrimériques. Chez l'embryon gpr-1/2(RNAi) et chez les embryons dépourvus d'activité de deux sous-unités alpha, goa-1 et gpa-16, (Gα(RNAi)), j'ai montré qu'il y avait un déplacement minimal du fuseau vers le pôle postérieur au cours de l'anaphase et la première division est symétrique en raison de forces faibles et égales agissant sur les deux pôles du fuseau. J'ai également montré que gpr-1/2 était requis en aval des signaux établissant la polarité pour générer les forces responsables du positionnement asymétrique du fuseau. De plus, j'ai montré que GPR-1/2 était enrichi au pôle postérieur lors de la métaphase alors que GOA-1 et GPA-16 étaient localisés de façon uniforme au cortex de l'embryon précoce. Gas oscillent entre une forme liée au GDP et une forme liée au GTP. La signalisation des Gas est activée par l'échange GDP/GTP qui est catalysé par des protéines GEFs. La signalisation des Gas est désactivée par l'hydrolyse du GTP qui est catalysée par des protéines GAPs. Une troisième classe de protéines, GDIs lie la forme GDP et inhibe l'échange de nucléotides. J'ai montré que GPR-1/2 agissait comme un GDI pour GOA-1. Mes résultats suggèrent un modèle dans lequel une activation différentielle des Gα le long de l'axe A/P pourrait générer des forces différentielles sur le pôle antérieur et postérieur du fuseau.

On Effort Estimation in Software Projects

Software engineering is criticized as not being engineering or 'well-developed' science at all. Software engineers seem not to know exactly how long their projects will last, what they will cost, and will the software work properly after release. Measurements have to be taken in software projects to improve this situation. It is of limited use to only collect metrics afterwards. The values of the relevant metrics have to be predicted, too. The predictions (i.e. estimates) form the basis for proper project management. One of the most painful problems in software projects is effort estimation. It has a clear and central effect on other project attributes like cost and schedule, and to product attributes like size and quality. Effort estimation can be used for several purposes. In this thesis only the effort estimation in software projects for project management purposes is discussed. There is a short introduction to the measurement issues, and some metrics relevantin estimation context are presented. Effort estimation methods are covered quite broadly. The main new contribution in this thesis is the new estimation model that has been created. It takes use of the basic concepts of Function Point Analysis, but avoids the problems and pitfalls found in the method. It is relativelyeasy to use and learn. Effort estimation accuracy has significantly improved after taking this model into use. A major innovation related to the new estimationmodel is the identified need for hierarchical software size measurement. The author of this thesis has developed a three level solution for the estimation model. All currently used size metrics are static in nature, but this new proposed metric is dynamic. It takes use of the increased understanding of the nature of the work as specification and design work proceeds. It thus 'grows up' along with software projects. The effort estimation model development is not possible without gathering and analyzing history data. However, there are many problems with data in software engineering. A major roadblock is the amount and quality of data available. This thesis shows some useful techniques that have been successful in gathering and analyzing the data needed. An estimation process is needed to ensure that methods are used in a proper way, estimates are stored, reported and analyzed properly, and they are used for project management activities. A higher mechanism called measurement framework is also introduced shortly. The purpose of the framework is to define and maintain a measurement or estimationprocess. Without a proper framework, the estimation capability of an organization declines. It requires effort even to maintain an achieved level of estimationaccuracy. Estimation results in several successive releases are analyzed. It isclearly seen that the new estimation model works and the estimation improvementactions have been successful. The calibration of the hierarchical model is a critical activity. An example is shown to shed more light on the calibration and the model itself. There are also remarks about the sensitivity of the model. Finally, an example of usage is shown.

A vueltas con la Crónica del rey don Rodrigo

The paper discusses the problem of the literary genre of the Crónica sarracina from a peninsular and european points of view. It is considerer through the prism of a new kind of fiction, related to history and an incipient realism, which grows up along the 15th century. Moreover, it reveals new fragments inspired by Pedro de Corral from the catalan version of Seneca’s tragedies and from the Libro de los doce sabios

Childhood Overweight - Predictors, Consequences and Prevention

Childhood overweight has become more prevalent during the past three decades. The aim of the present study was to examine possible predictors of childhood overweight and to evaluate the effect of individualised, biannual dietary and lifestyle counselling, with onset in infancy and primary aim at decreasing serum LDLcholesterol, on the development of overweight and related comorbidities. The study was part of the Special Turku coronary Risk factor Intervention Project (STRIP), in which 7-month-old children were randomised into an intervention group (N=540) or to a control group (N=522). The children in the control group were followed up along with the intervention group but they did not receive the individualised counselling. At the age of 15 years, 11.9 % of girls and 13.7 % of boys were overweight. The most important predictors of overweight at age 15 years were paternal weight status at the child’s age 7 months, rapid weight gain during the first two years of life, and early adiposity rebound. Leptin, a protein secreted by adipocytes, did not predict the development of overweight. Homozygosity for the overweight-associated FTO gene variant was associated with increased BMI and risk of overweight in children older than 7 years of age. The intervention given in the STRIP trial was not intense enough to overcome the effect of the FTO genotype. Although the intervention given in the STRIP trial had no significant effect on the proportion of overweight girls and boys, it did reduce the number and clustering of overweight-related cardiometabolic risk factors. This study showed that parental weight status, rapid weight gain early in life, and having two risk alleles in the FTO gene are strongly associated with overweight in adolescence. Biannual dietary and lifestyle counselling is not intense enough to prevent overweight but it has beneficial effects on the overweight-related cardiometabolic risk.

Characterization of the unfolding of a weak focus and modulus of analytic classification

La thèse présente une description géométrique d’un germe de famille générique déployant un champ de vecteurs réel analytique avec un foyer faible à l’origine et son complexifié : le feuilletage holomorphe singulier associé. On montre que deux germes de telles familles sont orbitalement analytiquement équivalents si et seulement si les germes de familles de difféomorphismes déployant la complexification de leurs fonctions de retour de Poincaré sont conjuguées par une conjugaison analytique réelle. Le “caractère réel” de la famille correspond à sa Z2-équivariance dans R^4, et cela s’exprime comme l’invariance du plan réel sous le flot du système laquelle, à son tour, entraîne que l’expansion asymptotique de la fonction de Poincaré est réelle quand le paramètre est réel. Le pullback du plan réel après éclatement par la projection monoidal standard intersecte le feuilletage en une bande de Möbius réelle. La technique d’éclatement des singularités permet aussi de donner une réponse à la question de la “réalisation” d’un germe de famille déployant un germe de difféomorphisme avec un point fixe de multiplicateur égal à −1 et de codimension un comme application de semi-monodromie d’une famille générique déployant un foyer faible d’ordre un. Afin d’étudier l’espace des orbites de l’application de Poincaré, nous utilisons le point de vue de Glutsyuk, puisque la dynamique est linéarisable auprès des points singuliers : pour les valeurs réels du paramètre, notre démarche, classique, utilise une méthode géométrique, soit un changement de coordonée (coordonée “déroulante”) dans lequel la dynamique devient beaucoup plus simple. Mais le prix à payer est que la géométrie locale du plan complexe ambiante devient une surface de Riemann, sur laquelle deux notions de translation sont définies. Après avoir pris le quotient par le relèvement de la dynamique nous obtenons l’espace des orbites, ce qui s’avère être l’union de trois tores complexes plus les points singuliers (l’espace résultant est non-Hausdorff). Les translations, le caractère réel de l’application de Poincaré et le fait que cette application est un carré relient les différentes composantes du “module de Glutsyuk”. Cette propriété implique donc le fait qu’une seule composante de l’invariant Glutsyuk est indépendante.

A study on the performance of flexible pavements on mature soil subgrades

The country has witnessed tremendous increase in the vehicle population and increased axle loading pattern during the last decade, leaving its road network overstressed and leading to premature failure. The type of deterioration present in the pavement should be considered for determining whether it has a functional or structural deficiency, so that appropriate overlay type and design can be developed. Structural failure arises from the conditions that adversely affect the load carrying capability of the pavement structure. Inadequate thickness, cracking, distortion and disintegration cause structural deficiency. Functional deficiency arises when the pavement does not provide a smooth riding surface and comfort to the user. This can be due to poor surface friction and texture, hydro planning and splash from wheel path, rutting and excess surface distortion such as potholes, corrugation, faulting, blow up, settlement, heaves etc. Functional condition determines the level of service provided by the facility to its users at a particular time and also the Vehicle Operating Costs (VOC), thus influencing the national economy. Prediction of the pavement deterioration is helpful to assess the remaining effective service life (RSL) of the pavement structure on the basis of reduction in performance levels, and apply various alternative designs and rehabilitation strategies with a long range funding requirement for pavement preservation. In addition, they can predict the impact of treatment on the condition of the sections. The infrastructure prediction models can thus be classified into four groups, namely primary response models, structural performance models, functional performance models and damage models. The factors affecting the deterioration of the roads are very complex in nature and vary from place to place. Hence there is need to have a thorough study of the deterioration mechanism under varied climatic zones and soil conditions before arriving at a definite strategy of road improvement. Realizing the need for a detailed study involving all types of roads in the state with varying traffic and soil conditions, the present study has been attempted. This study attempts to identify the parameters that affect the performance of roads and to develop performance models suitable to Kerala conditions. A critical review of the various factors that contribute to the pavement performance has been presented based on the data collected from selected road stretches and also from five corporations of Kerala. These roads represent the urban conditions as well as National Highways, State Highways and Major District Roads in the sub urban and rural conditions. This research work is a pursuit towards a study of the road condition of Kerala with respect to varying soil, traffic and climatic conditions, periodic performance evaluation of selected roads of representative types and development of distress prediction models for roads of Kerala. In order to achieve this aim, the study is focused into 2 parts. The first part deals with the study of the pavement condition and subgrade soil properties of urban roads distributed in 5 Corporations of Kerala; namely Thiruvananthapuram, Kollam, Kochi, Thrissur and Kozhikode. From selected 44 roads, 68 homogeneous sections were studied. The data collected on the functional and structural condition of the surface include pavement distress in terms of cracks, potholes, rutting, raveling and pothole patching. The structural strength of the pavement was measured as rebound deflection using Benkelman Beam deflection studies. In order to collect the details of the pavement layers and find out the subgrade soil properties, trial pits were dug and the in-situ field density was found using the Sand Replacement Method. Laboratory investigations were carried out to find out the subgrade soil properties, soil classification, Atterberg limits, Optimum Moisture Content, Field Moisture Content and 4 days soaked CBR. The relative compaction in the field was also determined. The traffic details were also collected by conducting traffic volume count survey and axle load survey. From the data thus collected, the strength of the pavement was calculated which is a function of the layer coefficient and thickness and is represented as Structural Number (SN). This was further related to the CBR value of the soil and the Modified Structural Number (MSN) was found out. The condition of the pavement was represented in terms of the Pavement Condition Index (PCI) which is a function of the distress of the surface at the time of the investigation and calculated in the present study using deduct value method developed by U S Army Corps of Engineers. The influence of subgrade soil type and pavement condition on the relationship between MSN and rebound deflection was studied using appropriate plots for predominant types of soil and for classified value of Pavement Condition Index. The relationship will be helpful for practicing engineers to design the overlay thickness required for the pavement, without conducting the BBD test. Regression analysis using SPSS was done with various trials to find out the best fit relationship between the rebound deflection and CBR, and other soil properties for Gravel, Sand, Silt & Clay fractions. The second part of the study deals with periodic performance evaluation of selected road stretches representing National Highway (NH), State Highway (SH) and Major District Road (MDR), located in different geographical conditions and with varying traffic. 8 road sections divided into 15 homogeneous sections were selected for the study and 6 sets of continuous periodic data were collected. The periodic data collected include the functional and structural condition in terms of distress (pothole, pothole patch, cracks, rutting and raveling), skid resistance using a portable skid resistance pendulum, surface unevenness using Bump Integrator, texture depth using sand patch method and rebound deflection using Benkelman Beam. Baseline data of the study stretches were collected as one time data. Pavement history was obtained as secondary data. Pavement drainage characteristics were collected in terms of camber or cross slope using camber board (slope meter) for the carriage way and shoulders, availability of longitudinal side drain, presence of valley, terrain condition, soil moisture content, water table data, High Flood Level, rainfall data, land use and cross slope of the adjoining land. These data were used for finding out the drainage condition of the study stretches. Traffic studies were conducted, including classified volume count and axle load studies. From the field data thus collected, the progression of each parameter was plotted for all the study roads; and validated for their accuracy. Structural Number (SN) and Modified Structural Number (MSN) were calculated for the study stretches. Progression of the deflection, distress, unevenness, skid resistance and macro texture of the study roads were evaluated. Since the deterioration of the pavement is a complex phenomena contributed by all the above factors, pavement deterioration models were developed as non linear regression models, using SPSS with the periodic data collected for all the above road stretches. General models were developed for cracking progression, raveling progression, pothole progression and roughness progression using SPSS. A model for construction quality was also developed. Calibration of HDM–4 pavement deterioration models for local conditions was done using the data for Cracking, Raveling, Pothole and Roughness. Validation was done using the data collected in 2013. The application of HDM-4 to compare different maintenance and rehabilitation options were studied considering the deterioration parameters like cracking, pothole and raveling. The alternatives considered for analysis were base alternative with crack sealing and patching, overlay with 40 mm BC using ordinary bitumen, overlay with 40 mm BC using Natural Rubber Modified Bitumen and an overlay of Ultra Thin White Topping. Economic analysis of these options was done considering the Life Cycle Cost (LCC). The average speed that can be obtained by applying these options were also compared. The results were in favour of Ultra Thin White Topping over flexible pavements. Hence, Design Charts were also plotted for estimation of maximum wheel load stresses for different slab thickness under different soil conditions. The design charts showed the maximum stress for a particular slab thickness and different soil conditions incorporating different k values. These charts can be handy for a design engineer. Fuzzy rule based models developed for site specific conditions were compared with regression models developed using SPSS. The Riding Comfort Index (RCI) was calculated and correlated with unevenness to develop a relationship. Relationships were developed between Skid Number and Macro Texture of the pavement. The effort made through this research work will be helpful to highway engineers in understanding the behaviour of flexible pavements in Kerala conditions and for arriving at suitable maintenance and rehabilitation strategies. Key Words: Flexible Pavements – Performance Evaluation – Urban Roads – NH – SH and other roads – Performance Models – Deflection – Riding Comfort Index – Skid Resistance – Texture Depth – Unevenness – Ultra Thin White Topping