Ratio maps and correspondence analysis

We compare two methods for visualising contingency tables and developa method called the ratio map which combines the good properties of both.The first is a biplot based on the logratio approach to compositional dataanalysis. This approach is founded on the principle of subcompositionalcoherence, which assures that results are invariant to considering subsetsof the composition. The second approach, correspondence analysis, isbased on the chi-square approach to contingency table analysis. Acornerstone of correspondence analysis is the principle of distributionalequivalence, which assures invariance in the results when rows or columnswith identical conditional proportions are merged. Both methods may bedescribed as singular value decompositions of appropriately transformedmatrices. Correspondence analysis includes a weighting of the rows andcolumns proportional to the margins of the table. If this idea of row andcolumn weights is introduced into the logratio biplot, we obtain a methodwhich obeys both principles of subcompositional coherence and distributionalequivalence.

Regions of rationality: Maps for bounded agents

An important problem in descriptive and prescriptive research in decision making is to identify regions of rationality, i.e., the areas for which heuristics are and are not effective. To map the contours of such regions, we derive probabilities that heuristics identify the best of m alternatives (m > 2) characterized by k attributes or cues (k > 1). The heuristics include a single variable (lexicographic), variations of elimination-by-aspects, equal weighting, hybrids of the preceding, and models exploiting dominance. We use twenty simulated and four empirical datasets for illustration. We further provide an overview by regressing heuristic performance on factors characterizing environments. Overall, sensible heuristics generally yield similar choices in many environments. However, selection of the appropriate heuristic can be important in some regions (e.g., if there is low inter-correlation among attributes/cues). Since our work assumes a hit or miss decision criterion, we conclude by outlining extensions for exploring the effects of different loss functions.

RAGBRAI Learn about the Land; Day 7, July 2008

Iowa’s land was mapped long before it was declared a state. Since Lewis and Clark published their journey across the North American west in 1814, many different uses for maps have been found. Today there are maps of Iowa’s roads, waterways, landscape features, geology, and land use. One of the more recent mapping efforts has involved using a technology called LiDAR. This technology creates a topographic map of Iowa’s elevation that is accurate to within eight inches, ten times higher resolution than in previous elevation maps.

Temporal Geobiotic Mapping: a conceptual mapping technique toward visualising geobiotic areas in cross-section

Geobiota are defined by taxic assemblages (i.e., biota) and their defining abiotic breaks, which are mapped in cross-section to reveal past and future biotic boundaries. We term this conceptual approach Temporal Geobiotic Mapping (TGM) and offer it as a conceptual approach for biogeography. TGM is based on geological cross-sectioning, which creates maps based on the distribution of biota and known abiotic factors that drive their distribution, such as climate, topography, soil chemistry and underlying geology. However, the availability of abiotic data is limited for many areas. Unlike other approaches, TGM can be used when there is minimal data available. In order to demonstrate TGM, we use the well-known area in the Blue Mountains, New South Wales (NSW), south-eastern Australia and show how surface processes such as weathering and erosion affect the future distribution of a Moist Basalt Forest taxic assemblage. Biotic areas are best represented visually as maps, which can show transgressions and regressions of biota and abiota over time. Using such maps, a biogeographer can directly compare animal and plant distributions with features in the abiotic environment and may identify significant geographical barriers or pathways that explain biotic distributions.

Principales características geoambientales en la región del alto Fluvià (Gerona)

This study is about the main characteristics of a large area in the province of Girona, the utilization of which has been historically poor, basically due to gecsnorphological causes. The analysis has been made considering the possibilities -both positive and negative - that the geological medium offers by appropiate use of the area, bearing in mind the possible impacts that these uses could have on the medium. The conclusions drawn from this study are shown in a series of maps

Variability of apparently homogeneous soilscapes in São Paulo state, Brazil: II. quality of soil maps

The quality of semi-detailed (scale 1:100.000) soil maps and the utility of a taxonomically based legend were assessed by studying 33 apparently homogeneous fields with strongly weathered soils in two regions in São Paulo State: Araras and Assis. An independent data set of 395 auger sites was used to determine purity of soil mapping units and analysis of variance within and between mapping units and soil classification units. Twenty three soil profiles were studied in detail. The studied soil maps have a high purity for some legend criteria, such as B horizon type (> 90%) and soil texture class (> 80%). The purity for the "trophic character" (eutrophic, dystrophic, allic) was only 55% in Assis. It was 88% in Araras, where many soil units had been mapped as associations. In both regions, the base status of clay-textured soils was generally better than suggested by the maps. Analysis of variance showed that mapping was successful for "durable" soil characteristics such as clay content (> 80% of variance explained) and cation exchange capacity (≥ 50% of variance explained) of 0-20 and 60-80 cm layers. For soil characteristics that are easily modified by management, such as base saturation of the 0-20 cm layer, the maps had explained very little (< 15%) of the total variance in the study areas. Intermediate results were obtained for base saturation of the 60-80 cm layer (56% in Assis; 42% in Araras). Variance explained by taxonomic groupings that formed the basis for the legend of the soil maps was similar to, often even smaller than, variance explained by mapping units. The conclusion is that map boundaries have been very carefully located, but descriptions of mapping units could be improved. In future mappings, this could possibly be done at low cost by (a) bulk sampling to remove short range variation and enhance visualization of spatial patterns at distances > 100 m; (b) taking advantage of correlations between easily measured soil characteristics and chemical soil properties and, (c) unbending the link between legend criteria and a taxonomic system. The maps are well suited to obtain an impression of land suitability for high-input farming. Additional field work and data on former land use/management are necessary for the evaluation of chemical properties of surface horizons.

Contribution to the geology of Southern Turkey: new insights from the Mersin mélanges and from the Lycian and Antalya nappes

Abstract The study of fossil Tethyan continental margins implies the consideration of the oceanic domains to which they were connected. The advent of plate tectonics confirmed the importance of the detection of accretion-related mélanges. Ophiolitic mélanges are derived from both an upper ophiolitic obducting plate and a lower oceanic plate. Besides ophiolitic elements, the mélanges may incorporate parts of a magmatic arc and dismembered fragments of a passive continental margin. As the lower plate usually totally disappears during the obduction process, it can only be reconstructed from its elements found in the mélanges. Because of their key location at active margin boundaries, preserved accretion-related mélanges provide strong constraints on the geological evolution of former oceanic domains and their adjacent margins. The identification of Palaeotethyan remnants as accretionary series or reworked during the Late Triassic Eo-Cimmerian event, as well as the recognition of HugluPindos marginal sequences in southern Turkey and in the external Hellenides represent the main achievements of this work, making possible to establish new palaeogeographical correlations. The Mersin mélanges (Turkey), together with the Antalya and Mamonia (Cyprus) domains, are characterized by a series of exotic units found now south of the main Taurus range and compose the South-Taurides Exotic Units. The Mersin mélanges are subdivided in a Triassic and a Late Cretaceous unit. These units consist of the remnants of three major Tethyan oceans, the Palaeotethys, the Neotethys and the Huglu-Pindos. The definition and inventory of the Upper Antalya Nappes (Turkey) are still a matter of controversies and often conflicting interpretations. The recognition of Campanian radiolarians on top of the Kerner Gorge unit directly overlain by the Ordovician Seydi§ehir Fm. of the Tahtah Dag Nappe outlines a tectonic contact and demonstrates that the Upper Antalya Nappes system is composed of three different nappes, the Kerner Gorge, Bakirli and the Tahtah Dag nappes. Additionally, a limestone block in a doubtful tectonic position at the base of the Upper Antalya Nappes yielded for the first time two middle Viséan associations of foraminifers and problematic algae. The Tavas Nappe in the Lycian Nappes (Turkey) is classically divided into the Karadag, Teke Dere, Köycegiz and Haticeana units. As for the Mersin mélanges, the Tavas Nappe is highly composite and includes dismembered units belonging to the Palaeotethyan, Neotethyan and HugluPindos realms. The Karadag unit consists of a Gondwana-type platform succession ranging from the Late Devonian to the Late Triassic. It belongs to the Cimmerian Taurus terrane and was part of the northern passive margin of the Neotethys. The Teke Dere unit is composed of different parts of the Palaeotethyan succession including Late Carboniferous OIB-type basalts, Carboniferous MORB-type basalts, an Early Carboniferous siliciclastic series and a Middle Permian arc sequence. The microfauna and microflora identified in different horizons within the Teke Dere unit share strong biogeographical affinities with the northern Palaeotethyan borders. Kubergandian limestones in primary contact above the Early Carboniferous siliciclastics yielded a rich and diverse microfauna and microflora also identified in reworked cobbles within the Late Triassic Gevne Fm. of the Aladag unit (Turkey). The sedimentological evolution of the Köycegiz and Haticeana series is in many points similar to classical Pindos sequences. These series originated in the Huglu-Pindos Ocean along the northern passive margin of the Anatolian (Turkish transect) and Sitia-Pindos (Greek transect) terranes. Conglomerates at the base of the Lentas Unit in southern Crete (Greece) yielded a microfauna and microflora presenting also strong affinities with the northern borders of the Palaeotethys. This type of reworked sediments at the base of Pindos-like series would suggest a derivation from the Palaeotethyan active margin. -Résumé (French abstract) L'étude des marges continentales fossiles de l'espace téthysien implique d'étudier les domaines océaniques qui y étaient rattachés. Les progrès de la tectonique des plaques ont confirmé l'importance de la reconnaissance des mélanges d'accrétion. Les mélanges ophiolitiques dérivent d'une plaque supérieure ophiolitique qui obducte, et d'une plaque inférieure océanique. En plus d'éléments ophiolitiques, les mélanges peuvent aussi incorporer des parties d'un arc magmatique, ou des fragments d'une marge continentale passive. Comme la plaque inférieure disparaît généralement complètement durant le processus d'obduction, elle ne peut être reconstruite qu'au travers de ses éléments trouvés dans les mélanges. A cause de leur situation aux limites de marges actives, les mélanges d'accrétion bien préservés permettent de contraindre l'évolution géologique d'anciens océans et de leurs marges. L'identification de vestiges de la Paléotéthys en série d'accrétion ou remaniés lors de l'orogenèse éo-cimmérienne au Trias supérieur, ainsi que l'observation de séquences marginales de Huglu-Pinde en Turquie du sud et dans les Hellénides externes représentent les principaux résultats de ce travail, permettant d'établir de nouvelles corrélations paléogéographiques. Les mélanges de Mersin (Turquie), avec les domaines d'Antalya et de Mamonia (Chypre), sont caractérisés par des unités exotiques se trouvant au sud de la chaîne taurique, et forment les Unités Exotiques Sud-Tauriques. Les mélanges de Mersin sont subdivisés en une unité triasique, et une autre du Crétacé supérieur. Ces unités comprennent les reliques de trois principaux océans téthysiens, la Paléotéthys, la Néotéthys et Huglu-Pinde. L'inventaire et la définition des nappes supérieures d'Antalya (Turquie) sont encore matière à controverse et donne lieu à des interprétations conflictuelles. La découverte de radiolaires campaniens au sommet de l'unité de la Gorge de Kemer, directement recouverts par la formation ordovicienne de Seydisehir de la nappe du Tahtali Dag met en évidence un contact tectonique et démontre que les nappes supérieures sont composées de trois différentes nappes, celle de la Gorge de Kemer, celle du Bakirli et celle Tahtali Dag. De plus, un bloc de calcaire dont la position tectonique demeure incertaine à la base des nappes supérieures a fourni pour la première fois deux associations viséennes de foraminifères et d'algues problématiques. La nappe de Tavas dans les nappes lyciennes (Turquie) est séparée en unités du Karadag, du Teke Dere, de Köycegiz et d'Haticeana. Comme pour les mélanges de Mersin, la nappe de Tavas est composite et inclut des unités appartenant à la Paléotéthys, à la Néotéthys et à Huglu-Pinde. L'unité du Karadag est une plateforme carbonatée de type Gondwana se développant du Dévonien supérieur au Trias supérieur. Elle appartient au domaine cimmérien du Taurus et formait la marge nord de la Néotéthys. L'unité du Teke Dere est composée de différentes écailles paléotéthysiennes et inclut des basaltes d'île océanique du Carbonifère supérieur, des basaltes de ride océanique du Carbonifère, une série siliciclastique du Carbonifère supérieur et un arc du Permien moyen. Les microfaunes et -flores trouvées à différents niveaux de la série du Teke Dere partagent de fortes affinités paléogéographiques avec les marges nord de la Paléotéthys. Des calcaires du Kubergandien en contact primaire au-dessus de la série siliciclastique a donné de riches microfaunes et -flores, également identifiées dans des galets remaniés dans la formation de Gevne du Trias supérieur de l'Aladag. L'évolution sédimentologique des séries de Köycegiz et d'Haticeana sont très similaires aux séries classiques du Pinde. Ces séquences prennent leur racine dans l'océan de Huglu-Pinde, le long de la marge passive nord anatolienne (profil turc) et de la marge de Sitia-Pinde (profil grec). Des conglomérats à la base de l'unité de Lentas au sud de la Crète (Grèce) ont donné des microfaunes et flores partageant également de fortes similitudes avec les bordures nord de la Paléotéthys. Le type de sédiments remaniés à la base d'unités de type Pinde suggère une dérivation depuis la marge active de la Paléotéthys. -Résumé grand public (non-specialized abstract) Au début du 20ème siècle, Alfred Wegener bouleverse les croyances géologiques de l'époque et publie plusieurs articles sur la dérive ou la translation des continents. En utilisant des arguments géographiques (similarités des lignes de côte), paléontologiques (faunes et flores similaires) et climatiques (dépôts tropicaux et glaciaires), Wegener explique qu'il y a plusieurs millions d'années, les terres émergées actuelles ne devaient former qu'un seul et grand continent. La fin du 20ème siècle verra l'avènement de la théorie de la tectonique des plaques suite à la reconnaissance du cycle de Wilson, des rides médio-océaniques, des anomalies magnétiques dans les océans et des sutures océaniques qui représentent les reliques d'océans disparus. Le Cycle de Wilson se caractérise par une suite d'évènements géologiques majeurs pouvant se résumer de la manière suivante : (1) séparation d'un craton continental en deux parties, créant une limite de plaque divergente. C'est ce que l'on appelle un rift; (2) développement et croissance d'un océan entre ces deux blocs. Des roches magmatiques remontent à la surface de la terre et forment une chaîne de montagne sous-marine que l'on appelle ride médio-océanique ou dorsale. L'océan continue de se développer, et des sédiments se déposent à sa surface formant la suite ophiolitique ou trinité de Steinmann; (3) après une phase d'expansion plus ou moins longue, les conditions imposées aux limites des plaques à la surface de la terre changent, et l'océan se met à se refermer par disparition progressive (subduction) de sa croûte océanique sous une croûte continentale par exemple. Ceci crée une nouvelle limite de plaque, convergente cette fois; (4) la subduction de la plaque océanique sous la plaque continentale provoque une remontée de magma formant des chaînes volcaniques à la surface de la Terre ; (5) une fois que la plaque océanique a complètement disparu, les deux blocs préalablement séparés par l'océan font collision, formant ainsi une chaîne de montagne. Les chaînes de montagnes sont de manière générale formées par un empilement plus ou moins complexe de nappes. C'est au coeur de certaines de ces nappes que se trouvent les vestiges de l'océan disparu. Un des objectifs de ce travail était la recherche de ces vestiges dans le domaine téthysien de la Méditerranée orientale. Pour ce faire, nous avons parcourus une grande partie du sud de la Turquie, nous sommes allés à Chypre, dans le Sultanat d'Oman, en Iran, en Crète, et nous avons visités quelques îles grecques du Dodécanèse. La région de la Méditerranée orientale est une zone qui a été tectoniquement très active, et qui continue de l'être de nos jours par des phénomènes de subduction (ex. les volcans de Santorin), et par des mouvements coulissants entre des plaques continentales (ex. la faille nord-anatolienne) qui donnent régulièrement lieu à des tremblements de terre. Pour le géologue, la complexité de ces zones d'étude réside dans le fait que les chaînes de montagne actuelles ne contiennent en général pas seulement les restes d'un océan, mais bien de plusieurs bassins océaniques qui se sont succédés dans l'espace et dans le temps. Les nappes qui se trouvent au sud de la Turquie et dans le Dodécanèse forment un important jalon dans la chaîne alpine qui s'étend depuis les Alpes jusque dans l'Himalaya. L'idée d'un continuum au coeur de ce système se basait principalement sur l'âge des océans et sur la reconnaissance de similarités dans l'évolution des séries sédimentaires. La localisation des vestiges de la Paléotéthys ainsi que l'identification des séries sédimentaires ayant appartenu à l'océan de HugluPinde repris sous forme de nappes en Turquie et en Grèce sont cruciales pour permettre de bonnes corrélations locales et régionales. La reconnaissance, la compréhension et l'interprétation de ces séries sédimentaires permettront d'élaborer un modèle d'évolution géodynamique régional, s'appuyant sur des faits de terrains indiscutables, et prenant en compte les contraintes globales que ce genre d'exercice implique.

Extensions of maps defined on many fibres

Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of unicity base change is not needed and one recovers exactly the initial maps.

Gas identification with tin oxide sensor array and self-organizing maps: adaptive correction of sensor drifts

Low-cost tin oxide gas sensors are inherently nonspecific. In addition, they have several undesirable characteristics such as slow response, nonlinearities, and long-term drifts. This paper shows that the combination of a gas-sensor array together with self-organizing maps (SOM's) permit success in gas classification problems. The system is able to determine the gas present in an atmosphere with error rates lower than 3%. Correction of the sensor's drift with an adaptive SOM has also been investigated

Computer-assisted cartography using topographic properties: precision and accuracy of local soil maps in central Mexico

Map units directly related to properties of soil-landscape are generated by local soil classes. Therefore to take into consideration the knowledge of farmers is essential to automate the procedure. The aim of this study was to map local soil classes by computer-assisted cartography (CAC), using several combinations of topographic properties produced by GIS (digital elevation model, aspect, slope, and profile curvature). A decision tree was used to find the number of topographic properties required for digital cartography of the local soil classes. The maps produced were evaluated based on the attributes of map quality defined as precision and accuracy of the CAC-based maps. The evaluation was carried out in Central Mexico using three maps of local soil classes with contrasting landscape and climatic conditions (desert, temperate, and tropical). In the three areas the precision (56 %) of the CAC maps based on elevation as topographical feature was higher than when based on slope, aspect and profile curvature. The accuracy of the maps (boundary locations) was however low (33 %), in other words, further research is required to improve this indicator.

Assessing alpine plant vulnerability to climate change: A modeling perspective

The potential ecological impact of ongoing climate change has been much discussed. High mountain ecosystems were identified early on as potentially very sensitive areas. Scenarios of upward species movement and vegetation shift are commonly discussed in the literature. Mountains being characteristically conic in shape, impact scenarios usually assume that a smaller surface area will be available as species move up. However, as the frequency distribution of additional physiographic factors (e.g., slope angle) changes with increasing elevation (e.g., with few gentle slopes available at higher elevation), species migrating upslope may encounter increasingly unsuitable conditions. As a result, many species could suffer severe reduction of their habitat surface, which could in turn affect patterns of biodiversity. In this paper, results from static plant distribution modeling are used to derive climate change impact scenarios in a high mountain environment. Models are adjusted with presence/absence of species. Environmental predictors used are: annual mean air temperature, slope, indices of topographic position, geology, rock cover, modeled permafrost and several indices of solar radiation and snow cover duration. Potential Habitat Distribution maps were drawn for 62 higher plant species, from which three separate climate change impact scenarios were derived. These scenarios show a great range of response, depending on the species and the degree of warming. Alpine species would be at greatest risk of local extinction, whereas species with a large elevation range would run the lowest risk. Limitations of the models and scenarios are further discussed.