Can we constrain the interior structure of rocky exoplanets from mass and radius measurements?

Aims. We present an inversion method based on Bayesian analysis to constrain the interior structure of terrestrial exoplanets, in the form of chemical composition of the mantle and core size. Specifically, we identify what parts of the interior structure of terrestrial exoplanets can be determined from observations of mass, radius, and stellar elemental abundances. Methods. We perform a full probabilistic inverse analysis to formally account for observational and model uncertainties and obtain confidence regions of interior structure models. This enables us to characterize how model variability depends on data and associated uncertainties. Results. We test our method on terrestrial solar system planets and find that our model predictions are consistent with independent estimates. Furthermore, we apply our method to synthetic exoplanets up to 10 Earth masses and up to 1.7 Earth radii, and to exoplanet Kepler-36b. Importantly, the inversion strategy proposed here provides a framework for understanding the level of precision required to characterize the interior of exoplanets. Conclusions. Our main conclusions are (1) observations of mass and radius are sufficient to constrain core size; (2) stellar elemental abundances (Fe, Si, Mg) are principal constraints to reduce degeneracy in interior structure models and to constrain mantle composition; (3) the inherent degeneracy in determining interior structure from mass and radius observations does not only depend on measurement accuracies, but also on the actual size and density of the exoplanet. We argue that precise observations of stellar elemental abundances are central in order to place constraints on planetary bulk composition and to reduce model degeneracy. We provide a general methodology of analyzing interior structures of exoplanets that may help to understand how interior models are distributed among star systems. The methodology we propose is sufficiently general to allow its future extension to more complex internal structures including hydrogen- and water-rich exoplanets.

Age, Growth and Population Structure of Jumbo Flying Squid, Dosidicus Gigas, Based on Statolith Microstructure Off the Exclusive Economic Zone of Chilean Waters

The jumbo flying squid, Dosidicus gigas, support an important squid fishery off the Exclusive Economic Zone of Chilean waters. However, we only have limited information about their biology. In this study, age, growth and population structure of D. gigas were studied using statoliths from 333 specimens (386 females and 147 males) randomly sampled in the Chinese squid jigging surveys from 2007 to 2008 off the Exclusive Economic Zone of Chile. Mantle lengths (MLs) of the sample ranged from 206 to 702 mm, and their ages were estimated from 150 to 307 days for females and from 127 to 302 days for males. At least two spawning groups were identified, the main spawning peak tended to occur between August and November (austral spring group), and the secondary peak appeared during March to June (austral autumn group). The ML-age relationship was best modelled by a linear function for the austral spring group and a power function for the austral autumn group, and the body weight (BW)-age relationship was best described by an exponential function for both the groups. Instantaneous relative growth rates and absolute growth rates for ML and BW did not differ significantly between the two groups. The growth rate of D. gigas tended to be high at young stages, and then decreased after the sub-adult stage (>180 days old). This study suggests large spatial and temporal variability in key life history parameters of D. gigas, calling for the collection of more data with fine spatial and temporal scales to further improve our understanding of the fishery biology of D. gigas.

CYTOLOGICAL, ULTRASTRUCTURAL, AND BIOCHEMICAL STUDIES OF THE STRUCTURE OF PREMATURELY CONDENSED CHROMOSOMES

The phenomenon of premature chromosome condensation, resulting from fusion between mitotic and interphase cells, includes dissolution of the interphase nuclear framework, thus allowing a direct visualization of interphase chromosomes. Light microscope morphology of prematurely condensed chromosomes (PCC) from synchronized HeLa cells supports the model of an interphase "chromosome condensation cycle". PCC are increasingly attenuated as cells progress through G(,1). A maximum degree of decondensation is observed at active sites of DNA replication during S phase, and a condensed morphology is rapidly resumed following completion of replication of a chromosome segment.^ To permit ultrastructural and biochemical studies of PCC, a procedure was developed to induce premature chromosome condensation at high frequency. This was achieved by polyethylene glycol (PEG)-mediated fusion of a dense monolayer of mitotic and interphase cells induced by centrifugation onto lectin-coated culture dishes. Using this method, PCC induction frequencies of 60-90% are routinely obtained.^ Scanning electron microscope analysis of PCC spreads revealed that the extension of PCC during progression through G(,1) is accompanied by a transition of the basic 30 nm chromatin fiber from tightly packed looping fibers to extended longitudinal fibers. Sites of active DNA replication is S-PCC were indicated to be organized a single longitudinal fibers. Following replication of a chromosome segment, a rapid reorganization from the extended longitudinal fiber to packed looping fibers occurs. The postreplication maturation process appears to include the assembly of a chromosome core consisting of multiple longitudinal fibers.^ The role of histone H1 phosphorylation in PCC formation was investigated by acidurea polyacrylamide gel electrophoresis of total histone extracted from metaphase chromosomes and PCC following high frequency fusion. This investigation failed to demonstrate an extensive phosphorylation of H1 associated with PCC formation. However, significant dephosphorylation of superphosphorylated metaphase chromosome H1 was observed, indicating that interphase H1-phosphatase activity is dominant over metaphase H1 kinase activity. These observations provide evidence against models suggesting a role for H1 superphosphorylation in triggering mitotic condensation of chromosomes. ^

The Optimal Capital Structure of Banks: Balancing Deposit Insurance, Capital Requirements and Tax-Advantaged Debt

The capital structure and regulation of financial intermediaries is an important topic for practitioners, regulators and academic researchers. In general, theory predicts that firms choose their capital structures by balancing the benefits of debt (e.g., tax and agency benefits) against its costs (e.g., bankruptcy costs). However, when traditional corporate finance models have been applied to insured financial institutions, the results have generally predicted corner solutions (all equity or all debt) to the capital structure problem. This paper studies the impact and interaction of deposit insurance, capital requirements and tax benefits on a bankÇs choice of optimal capital structure. Using a contingent claims model to value the firm and its associated claims, we find that there exists an interior optimal capital ratio in the presence of deposit insurance, taxes and a minimum fixed capital standard. Banks voluntarily choose to maintain capital in excess of the minimum required in order to balance the risks of insolvency (especially the loss of future tax benefits) against the benefits of additional debt. Because we derive a closed- form solution, our model provides useful insights on several current policy debates including revisions to the regulatory framework for GSEs, tax policy in general and the tax exemption for credit unions.

Are Indian Firms too Small? A Nonparametric Analysis of Cost Efficiency and Industry Structure of Indian Manufacturing

In this paper we use the 2004-05 Annual Survey of Industries data to estimate the levels of cost efficiency of Indian manufacturing firms in the various states and also get state level measures of industrial organization (IO) efficiency. The empirical results show the presence of considerable cost inefficiency in a majority of the states. Further, we also find that, on average, Indian firms are too small. Consolidating them to attain the optimal scale would further enhance efficiency and lower average cost.

Regulation of chromatin structure, Smad binding and AFP expression by the Forkhead box transcription factor: Foxa1

Transcription factors must be able to access their DNA binding sites to either activate or repress transcription. However, DNA wrapping and compaction into chromatin occludes most binding sites from ready access by proteins. Pioneer transcription factors are capable of binding their DNA elements within a condensed chromatin context and then reducing the level of nucleosome occupancy so that the chromatin structure is more accessible. This altered accessibility increases the probability of other transcription factors binding to their own DNA binding elements. My hypothesis is that Foxa1, a ‘pioneer’ transcription factor, activates alpha-fetoprotein (AFP) expression by binding DNA in a chromatinized environment, reducing the nucleosome occupancy and facilitating binding of additional transcription factors.^ Using retinoic-acid differentiated mouse embryonic stem cells, we illustrate a mechanism for activation of the tumor marker AFP by the pioneer transcription factor Foxa1 and TGF-β downstream effector transcription factors Smad2 and Smad4. In differentiating embryonic stem cells, binding of the Foxa1 forkhead box transcription factor to chromatin reduces nucleosome occupancy and levels of linker histone H1 at the AFP distal promoter. The more accessible DNA is subsequently bound by the Smad2 and Smad4 transcription factors, concurrent with activation of transcription. Chromatin immunoprecipitation analyses combined with siRNA-mediated knockdown indicate that Smad protein binding and the reduction of nucleosome occupancy at the AFP distal promoter is dependent on Foxa1. In addition to facilitating transcription factor binding, Foxa1 is also associated with histone modifications related to active gene expression. Acetylation of lysine 9 on histone H3, a mark that is associated active transcription, is dependent on Foxa1, while methylation of H3K4, also associated with active transcription, is independent of Foxa1. I propose that Foxa1 potentiates a region of chromatin to respond to Smad proteins, leading to active expression of AFP.^ These studies demonstrate one mechanism whereby a transcription factor can alter the accessibility of additional transcription factors to chromatin, by altering nucleosome positions. Specifically, Foxa1 exposes DNA so that Smad4 can bind to its regulatory element and activate transcription of the tumor-marker gene AFP.^

ATP, chlorophyll "a", and size structure of phytolpankton in seawater at stations in the Atlantic sector of the Southern Ocean

Chlorophyll "a" and adenozine triphosphate (ATP) concentrations together with size structure of microplankton were investigated in January-April 1989 in the Indian Ocean and in the Weddell Sea. ATP values varied from 11 to 92 ng/l, and chlorophyll "a" concentrations varied from 0.04 to 0.27 µg/l in the Indian Ocean, with prevailing nanoplankton and picoplankton fractions. Both ATP and chlorophyll "a" concentrations increased 2 times to the south of 40°S; in the Weddell Sea they exceeded 400 ng/l and 0.6 µg/l, respectively. Cells of nanophytoplankton and microphytoplankton (mainly diatoms) prevailed in size spectra. Spatial variabilities of the parameters were within one order of magnitude; their values decreased 3-4 times during 1 month. Size structure changed due to increased portion of nanoplankton and picolankton. ATP concentrations in the photic layer (0-200 m) varied from 31.96 mg/m**2 in February to 8.02 mg/m**2 in March to April. ATP concentrations were 61.5 and 98.8 mg/m**2 at depths of 4200 and 4700 m, respectively.

Laboratory investigation of flow structure and resistance of high- and low-angle dunes

A prominent control on the flow over subaqueous dunes is the slope of the downstream leeside. While previous work has focused on steep (~30°), asymmetric dunes with permanent flow separation, little is known about dunes with lower lee-slope angles for which flow separation is absent or intermittent. Here, we present a laboratory investigation where we systematically varied the dune lee-slope, holding other geometric parameters and flow hydraulics constant, to explore effects on the turbulent flow field and flow resistance. Three sets of fixed dunes (lee-slopes of 10°, 20° and 30°) were separately installed in a 15 m long and 1 m wide flume and subjected to 0.20 m deep flow. Measurements consisted of high-frequency, vertical profiles collected with a Laser Doppler Velocimeter (LDV). We show that the temporal and spatial occurrence of flow separation decreases with dune lee-slope. Velocity gradients in the dune leeside depict a free shear layer downstream of the 30° dunes and a weaker shear layer closer to the bed for the 20° and 10° dunes. The decrease in velocity gradients leads to lower magnitude of turbulence production for gentle lee-slopes. Aperiodic, strong ejection events dominate the shear layer, but decrease in strength and frequency for low-angle dunes. Flow resistance of dunes decreases with lee-slope; the transition being non-linear. Over the 10°, 20° and 30° dunes, shear stress is 8%, 33% and 90 % greater than a flat bed, respectively. Our results demonstrate that dune lee-slope plays an important, but often ignored role in flow resistance.

On the fine structure of oxygen distribution in surface water layers in the area between Iceland and Faroe Islands

During the international "Overflow-Expedition'' 1973 on R.V. "Meteor" oxygen concentrations in surface layers were measured in order to determine the oxygen gradients within the first two meters and to add some informations to the mechanisms of oxygen exchange at the air-sea interface. These investigations may be interesting also with regard to longterm- observations of the oxygen distribution in the Atlantic, especially the problem of the A.O.U. (apparent oxygen utilization) determination. To measure oxygen gradients a special sampler was built which is able to take water samples each 20 cm of the first 2 meters. These data were supplemented by further samples down to 150 m, taken by conventional water samplers, from which samples were also taken to measure N2/O2-relations. By comparing these relations with theoretical relations in air-saturated water the influence of biological production and consumption on the oxygen contents in water could be estimated. A simple glass apparatus was built to extract gas from the water samples, and hereafter the N2/O2-relations were determined by mass spectrometry. Most distributions of the oxygen anomaly show a negative oxygen balance which varies largely, probably due to strong mixing processes in the Iceland-Faroe ridge area. The distribution of surface oxygen saturation values are of two different types. The values of the stations 260, 262 and 270 stem from mixed water and show homogeneous supersaturations, as can be found instantly when whitecaps appear. The values of 9 other stations are from water, sampled during calm periods which has been mixed and supersaturated before. They show a decreasing oxygen saturation towards the sea surface and often undersaturation in the upper decimeters up to 98 % and even 91 %. So at the air-sea interface even less initial oxygen saturation than 100 % can be found after supersaturation during heavy weather periods.

Effects of ocean acidification on population dynamics and community structure of crustose coralline algae

Calcification and growth of crustose coralline algae (CCA) are affected by elevated seawater pCO2 and associated changes in carbonate chemistry. However, the effects of ocean acidification (OA) on population and community-level responses of CCA have barely been investigated. We explored changes in community structure and population dynamics (size structure and reproduction) of CCA in response to OA. Recruited from an experimental flow-through system, CCA settled onto the walls of plastic aquaria and developed under exposure to one of three pCO2 treatments (control [present day, 389±6 ppm CO2], medium [753±11 ppm], and high [1267±19 ppm]). Elevated pCO2 reduced total CCA abundance and affected community structure, in particular the density of the dominant species Pneophyllum sp. and Porolithon onkodes. Meanwhile, the relative abundance of P. onkodes declined from 24% under control CO2 to 8.3% in high CO2 (65% change), while the relative abundance of Pneophyllum sp. remained constant. Population size structure of P. onkodes differed significantly across treatments, with fewer larger individuals under high CO2. In contrast, the population size structure and number of reproductive structures (conceptacles) per crust of Pneophyllum sp. was similar across treatments. The difference in the magnitude of the response of species abundance and population size structure between species may have the potential to induce species composition changes in the future. These results demonstrate that the impacts of OA on key coral reef builders go beyond declines in calcification and growth, and suggest important changes to aspects of population dynamics and community ecology.