Dominance and the maintenance of polymorphism in multiallelic migration-selection models with two demes

The maintenance of genetic variation in a spatially heterogeneous environment has been one of the main research themes in theoretical population genetics. Despite considerable progress in understanding the consequences of spatially structured environments on genetic variation, many problems remain unsolved. One of them concerns the relationship between the number of demes, the degree of dominance, and the maximum number of alleles that can be maintained by selection in a subdivided population. In this work, we study the potential of maintaining genetic variation in a two-deme model with deme-independent degree of intermediate dominance, which includes absence of G x E interaction as a special case. We present a thorough numerical analysis of a two-deme three-allele model, which allows us to identify dominance and selection patterns that harbor the potential for stable triallelic equilibria. The information gained by this approach is then used to construct an example in which existence and asymptotic stability of a fully polymorphic equilibrium can be proved analytically. Noteworthy, in this example the parameter range in which three alleles can coexist is maximized for intermediate migration rates. Our results can be interpreted in a specialist-generalist context and (among others) show when two specialists can coexist with a generalist in two demes if the degree of dominance is deme independent and intermediate. The dominance relation between the generalist allele and the specialist alleles play a decisive role. We also discuss linear selection on a quantitative trait and show that G x E interaction is not necessary for the maintenance of more than two alleles in two demes.

Dynamic high-resolution computer simulation of isotachophoretic enantiomer separation and zone stability

The development of electrophoretic computer models and their use for simulation of electrophoretic processes has increased significantly during the last few years. Recently, GENTRANS and SIMUL5 were extended with algorithms that describe chemical equilibria between solutes and a buffer additive in a fast 1:1 interaction process, an approach that enables simulation of the electrophoretic separation of enantiomers. For acidic cationic systems with sodium and H3 0(+) as leading and terminating components, respectively, acetic acid as counter component, charged weak bases as samples, and a neutral CD as chiral selector, the new codes were used to investigate the dynamics of isotachophoretic adjustment of enantiomers, enantiomer separation, boundaries between enantiomers and between an enantiomer and a buffer constituent of like charge, and zone stability. The impact of leader pH, selector concentration, free mobility of the weak base, mobilities of the formed complexes and complexation constants could thereby be elucidated. For selected examples with methadone enantiomers as analytes and (2-hydroxypropyl)-β-CD as selector, simulated zone patterns were found to compare well with those monitored experimentally in capillary setups with two conductivity detectors or an absorbance and a conductivity detector. Simulation represents an elegant way to provide insight into the formation of isotachophoretic boundaries and zone stability in presence of complexation equilibria in a hitherto inaccessible way.

Atomization Energies of LnX Molecules (Ln = Sm, Eu, and Yb; X = Cl, Br, and I)

The gas phase equilibria Ba + LnX = BaX + Ln (Ln = Sm, Eu, Yb; X = Cl, Br, I) were investigated by Knudsen effusion mass spectrometry using a low energy of ionizing electrons to avoid fragmentation processes. The BaX molecules were used as references with well-established bond energies. The atomization enthalpies ΔatH0° of the LnX molecules were determined to be 427 ± 9 (SmCl), 409 ± 9 (EuCl), 366 ± 9 (YbCl), 360 ± 10 (SmBr), 356 ± 13 (EuBr), 316 ± 9 (YbBr), 317 ± 10 (SmI), 293 ± 10 (EuI), and 283 ± 10 (YbI) kJ·mol−1.

Racial Bias in Motor Vehicle Searches: Additional Theory and Evidence

Knowles, Persico, and Todd (2001) develop a model of police search and offender behavior. Their model implies that if police are unprejudiced the rate of guilt should not vary across groups. Using data from Interstate 95 in Maryland, they find equal guilt rates for African-Americans and whites and conclude that the data is not consistent with racial prejudice against African-Americans. This paper generalizes the model of Knowles, Persico, and Todd by accounting for the fact that potential offenders are frequently not observed by the police and by including two different levels of offense severity. The paper shows that for African-American males the data is consistent with prejudice against African-American males, no prejudice, and reverse discrimination depending on the form of equilibria that exists in the economy. Additional analyses based on stratification by type of vehicle and time of day were conducted, but did not shed any light on the form of equilibria that best represents the situation in Maryland during the sample period.

Isotone Recursive Methods for Overlapping Generation Models with Stochastic Nonclassical Production

Based on an order-theoretic approach, we derive sufficient conditions for the existence, characterization, and computation of Markovian equilibrium decision processes and stationary Markov equilibrium on minimal state spaces for a large class of stochastic overlapping generations models. In contrast to all previous work, we consider reduced-form stochastic production technologies that allow for a broad set of equilibrium distortions such as public policy distortions, social security, monetary equilibrium, and production nonconvexities. Our order-based methods are constructive, and we provide monotone iterative algorithms for computing extremal stationary Markov equilibrium decision processes and equilibrium invariant distributions, while avoiding many of the problems associated with the existence of indeterminacies that have been well-documented in previous work. We provide important results for existence of Markov equilibria for the case where capital income is not increasing in the aggregate stock. Finally, we conclude with examples common in macroeconomics such as models with fiat money and social security. We also show how some of our results extend to settings with unbounded state spaces.

Sequential Pre-Marital Investment Games: Implications for Unemployment

Agents on the same side of a two-sided matching market (such as the marriage or labor market) compete with each other by making self-enhancing investments to improve their worth in the eyes of potential partners. Because these expenditures generally occur prior to matching, this activity has come to be known in recent literature (Peters, 2007) as pre-marital investment. This paper builds on that literature by considering the case of sequential pre-marital investment, analyzing a matching game in which one side of the market invests first, followed by the other. Interpreting the first group of agents as workers and the other group as firms, the paper provides a new perspective on the incentive structure that is inherent in labor markets. It also demonstrates that a positive rate of unemployment can exist even in the absence of matching frictions. Policy implications follow, as the prevailing set of equilibria can be altered by restricting entry into the workforce, providing unemployment insurance, or subsidizing pre-marital investment.

Interbank Markets under Currency Boards

This paper analyzes interbank markets under currency boards. Under such an environment, problematic endogeneity issues common to other monetary regimes do not arise. Using daily data from the interbank markets in Bulgaria and Lithuania we show, that contrary to the existing literature, overnight interest rates tend to decrease towards the end of the reserve holding period. Empirical results are supported by a finite horizon heterogeneous agents model showing that interest rates tend to decrease in the case of excess aggregate reserves in the banking system. Results contrast with Quir'os and Mendiz'abal (2006) who find that interest rates should be increasing regardless of the outstanding aggregate liquidity in the market. We also show that responsiveness of banks to interest rate changes diminishes as the end of reserve holding period approaches. Under certain circumstances this could lead to multiple equilibria with increasing or decreasing interest rates.

Search, Seizure and (False?) Arrest: An Analysis of Fourth Amendment Remedies when Police can Plant Evidence

The Fourth Amendment prohibits unreasonable searches and seizures in criminal investigations. The Supreme Court has interpreted this to require that police obtain a warrant prior to search and that illegally seized evidence be excluded from trial. A consensus has developed in the law and economics literature that tort liability for police officers is a superior means of deterring unreasonable searches. We argue that this conclusion depends on the assumption of truth-seeking police, and develop a game-theoretic model to compare the two remedies when some police officers (the bad type) are willing to plant evidence in order to obtain convictions, even though other police (the good type) are not (where this type is private information). We characterize the perfect Bayesian equilibria of the asymmetric-information game between the police and a court that seeks to minimize error costs in deciding whether to convict or acquit suspects. In this framework, we show that the exclusionary rule with a warrant requirement leads to superior outcomes (relative to tort liability) in terms of truth-finding function of courts, because the warrant requirement can reduce the scope for bad types of police to plant evidence

Who's in Charge in the Inner City? The Conflict Between Efficiency and Equity in the Design of a Metropolitan Area

A circular metropolitan area consists of an inner city and a suburb. Households sort over the two jurisdictions based on public service levels and their costs of commuting to the metropolitan center. Using numerical simulations, we show (1) there typically exist two equilibria: one in which the poor form the majority in the inner city and the other in which the rich form the majority in the inner city; (2) there is an efficiency vs. equity trade-off as to which equilibrium is preferred; and (3) if the inner city contains only poor households, equity favors expanding the inner city to include rich households.

A Comparison of Two-Market Bertrand Duopoly and Two-Market Cournot Duopoly

In a two-market Bertrand duopoly,each of two firms chooses one of two markets and a price in that market. All four choices are made simultaneously. In a two-market Cournot duopoly, the firms choose quantities rather than prices.It is well known that in the one-market case the threat of price undercutting means that Bertrand equilibrium prices and profits will be lower and quantities higher than Cournot equilibrium prices, profits and quantities.We find a quite different consequence of price undercutting in two-market duopoly. In the two-market case the threat of price undercutting means that Bertrand equilibria are in continuous mixed strategies, while every Cournot duopoly has an equilibrium in pure strategies, or in strategies that are pure in each market.

Do Exposure Suits Produce a 'Race to File'? An Economic Analysis of a Tort for Risk

Conventional tort law does not allow victims of exposure to a toxic substance to seek compensation until they develop actual symptoms of illness. This may effectively bar recovery because at the time the illness arises, injurers may be judgment proof. One possible response is to allow a tort for risk that allows victims to seek expected damages at the time of exposure. However, critics charge that this could create a 'race to file' wherein victims rush to file suit to ensure that they will get a share of the injurer's limited assets. We show that such a race may or may not occur in equilibrium, and that when it does occur, not all victims choose to file at exposure if bankruptcy is an inevitable result. If bankruptcy is not inevitable, it is possible that a tort for risk will trigger bankruptcy, although a no-bankruptcy equilibrium always exists and Paretodominates the bankruptcy equilibrium. We examine the consequences of the various tort-for-risk equilibria on the compensation of exposure victims, litigation costs, and injurer care.

Proceedings of the Seventeenth Annual Biochemical Engineering Symposium

This is the seventeenth of a series of symposia devoted to talks by students about their biochemical engineering research. The first, third, fifth, ninth, twelfth, and sixteenth were at Kansas State University, the second and fourth were at the University of Nebraska-Lincoln, the sixth was in Kansas City and was hosted by Iowa State University, the seventh, tenth, thirteenth, and seventeenth were at Iowa State University, the eighth and fourteenth were at the University of Missouri–Columbia, and the eleventh and fifteenth were at Colorado State University. Next year's symposium will be at the University of Colorado. Symposium proceedings are edited by faculty of the host institution. Because final publication usually takes place elsewhere, papers here are brief, and often cover work in progress. ContentsThe Effect of Polymer Dosage Conditions on the Properties of ProteinPolyelectrolyte Precipitates, K. H. Clark and C. E. Glatz, Iowa State University An Immobilized Enzyme Reactor/Separator for the Hydrolysis of Casein by Subtilisin Carlsberg, A. J. Bream, R. A. Yoshisato, and G. R. Carmichael, University of Iowa Cell Density Measurements in Hollow Fiber Bioreactors, Thomas Blute, Colorado State University The Hydrodynamics in an Air-Lift Reactor, Peter Sohn, George Y. Preckshot, and Rakesh K. Bajpai, University of Missouri–Columbia Local Liquid Velocity Measurements in a Split Cylinder Airlift Column, G. Travis Jones, Kansas State University Fluidized Bed Solid Substrate Trichoderma reesei Fermentation, S. Adisasmito, H. N. Karim, and R. P. Tengerdy, Colorado State University The Effect of 2,4-D Concentration on the Growth of Streptanthus tortuosis Cells in Shake Flask and Air-Lift Permenter Culture, I. C. Kong, R. D. Sjolund, and R. A. Yoshisato, University of Iowa Protein Engineering of Aspergillus niger Glucoamylase, Michael R. Sierks, Iowa State University Structured Kinetic Modeling of Hybidoma Growth and Monoclonal Antibody Production in Suspension Cultures, Brian C. Batt and Dhinakar S. Kampala, University of Colorado Modelling and Control of a Zymomonas mobilis Fermentation, John F. Kramer, M. N. Karim, and J. Linden, Colorado State University Modeling of Brettanomyces clausenii Fermentation on Mixtures of Glucose and Cellobiose, Max T. Bynum and Dhinakar S. Kampala, University of Colorado, Karel Grohmann and Charles E. Yyman, Solar Energy Research Institute Master Equation Modeling and Monte Carlo Simulation of Predator-Prey Interactions, R. 0. Fox, Y. Y. Huang, and L. T. Fan, Kansas State University Kinetics and Equilibria of Condensation Reactions Between Two Different Monosaccharides Catalyzed by Aspergillus niger Glucoamylase, Sabine Pestlin, Iowa State University Biodegradation of Metalworking Fluids, S. M. Lee, Ayush Gupta, L. E. Erickson, and L. T. Fan, Kansas State University Redox Potential, Toxicity and Oscillations in Solvent Fermentations, Kim Joong, Rakesh Bajpai, and Eugene L. Iannotti, University of Missouri–Columbia Using Structured Kinetic Models for Analyzing Instability in Recombinant Bacterial Cultures, William E. Bentley and Dhinakar S. Kompala, University of Colorado

Influencia de la fertilización y el riego sobre aspectos cuali-cuantitavos de la reproducción de cebolla (Allium cepa L.) para la industria del deshidratado

La creciente demanda, en los últimos años, a nivel mundial y nacional de los productos deshidratados hace que esta actividad se perfile como promisoria en la región cuyana. Prácticamente el 100 % de la deshidratación de cebolla (Allium cepa L.) del país se realiza en Mendoza, habiendose hecho sólo producciones aisladas y de escaso volúmen en otras plantas del país. Las estimaciones preveen que se seguirá abasteciendo el mercado local y se incrementaránlas exportaciones de cebolla deshidratada. El objetivo general del presente trabajo fue establecer la influencia de la fertilización y el riego sobre la productividad y calidad de un cultivar mejorado de cebolla de importancia económica para la industria del deshidratado. En el Campo Experimental del INTA La Consulta se llevaron a cabo durante los años 1994-´95 y 1995-´96, dos ciclos de ensayos, con una línea de cebolla para deshidratar derivada del cultivar Southport White Globe. El suelo es de origen aluvial, profundo y de textura franca (Torrifluvente típico). Se determinaron los principales parámetros físicos, químicos e hídricos de la fracción fina del suelo. Para determinar el efecto de la fertilización sobre componentes de crecimiento y calidad y estudiar la variación de la concentración y ritmo de absorción de nutrimentos se ensayaron diferentes tratamientos. En el primer ciclo se ensayaron nueve tratamientos con tres niveles de N (0, 100, 200 kg N ha-1 ) aplicado como urea y tres niveles de P (0, 30, 60 kg P ha-1 ) como superfosfato. En el segundo ciclo se probaron ocho tratamientos con los siguientes niveles de N, P y K, respectivamente: (0 y 100 kg N ha-1), (0 y 40 kg P ha-1) y (0 y 60 kg K ha-1), éste último como sulfato de potasio. Para evaluar el efecto de diferentes regímenes de riego al final del ciclo de cultivo sobre la produccción cuantitativa y cualitativa de cebolla para la industria del deshidratado se programaron cortes anticipados de riegos, según diferentes fechas anteriores a la cosecha. Estas fueron para el primero y segundo ciclo de ensayo, respectivamente: (33, 27, 21, 8) y (21,14, 7) días anteriores a la fecha de cosecha estimada. Las principales conclusiones fueron: A) Con respecto a la fertilización: i) En todos los casos, e independientemente del tratamiento ensayado el mayor incremento relativo de sustancia seca aérea se evidencia durante la II fase de viii desarrollo que tiene lugar entre los primeros días de noviembre y mediados de diciembre ii) En dicha II fase se comienzan a manifestar incrementos absolutos de peso seco aéreo y área foliar atribuibles a la fertilización iii) También en todos los tratamientos se verifica que al finalizar la II fase el peso de los bulbos alcanza el 20 % de su peso de cosecha. En ese momento, los valores determinados para el porcentaje de sólidos totales (% ST) oscilan entre 13 % y 14 % iv) La mayor tasa de crecimiento del bulbo se constató en la III fase en la que se logra el 80% restante de su peso final v) En la III fase el % ST del bulbo sigue en aumento hasta casi el momento de cosecha y alcanzó valores promedios de 20 % y 21 %. La fertilización con diferentes dosis de N, P y K no influyó en el contenido de materia seca de los bulbos aunque sí lo hizo positivamente sobre su peso fresco vi) Los máximos rendimientos de bulbos (37.3 Mg ha-1) y de materia seca (7.92 Mg ha-1) se obtuvieron, en el segundo ciclo de ensayo, con las dosis de 100 kg N ha-1 y 40 kg P ha-1 vii) Los parámetros tisulares aéreos de valor diagnóstico asociados a máximosrendimientos, y al final de la II fase, correspondieron a una Alimentación Global (N, P, K) de 4.96 g % g s. seca y concentraciones de N, P y K respectivamente de: 2.56 g %, 0.22 g % y 2.18 g %. En cuanto a los tenores de Ca y Mg los porcentajes respectivos fueron: 2.10 g % y 0.16 g %. Los valores medios de equilibrios nutricionales fueron: N - P - K: 52 % - 4% - 44%. Con respecto a los micronutrimentos sus concentraciones fueron, en mg kg-1, Fe: 400, Zn: 55, Mn: 35 y Cu:19 y los valores de equilibrios nutricionales : 78.5 % - 11 % - 7 % - 3.5 %, respectivamente viii) La extracción total efectuada por el cultivo para esas máximas producciones, en kg ha-1, de N - P - K - Ca - Mg fueron: 214 - 40 -187 - 184 -19 B) Con respecto a los regímenes de riego: i) El rendimiento máximo obtenido -38.9 Mg ha-1- en el ensayo de cortes anticipados de riego correspondió al tratamiento R7 del ciclo 1995-‘96 ii) El mismo perteneció al tratamiento, que además de la fertilización básica con 100 kg N ha-1, aseguró durante los meses de noviembre, diciembre y enero, ix hasta siete días antes de cosecha, una humedad edáfica mínima (umbral de riego) correspondiente al 50 % del agua disponible. Este tratamiento se caracterizó por un total de 18 riegos y una incorporación de agua de 6120 m3 ha-1. iii) Los rendimientos totales de materia seca fueron afectados detrimentalmente por los otros regímenes de riego de cortes más anticipados iv) Se constató una relación lineal positiva altamente ignificativa entre el rendimiento y la lámina total de agua aplicada al cultivo.

Manganese nodules recovered by R/V Vityaz expedition

Uranium, radium, thorium and ionium were determined directly on seven concretions from three stations in the Indian Ocean, and on two concretions and a manganese-rich crust from two stations in the Pacific Ocean. The uranium content averages 3 to 5 gamma/g and the thorium content varies only slightly, but the Th/U ratio in the concretions is typically 2 to 5 in the Indian Ocean and 5 to 15.5 in the Pacific. The ionium content ranges from 1.0 x 10-9 to 3.6 10**-9 g/g in concretions from both oceans. Radium is more abundant in specimens from the Pacific Ocean (Ra = 3 - 12.7 x 10**-11 g/g) than from the Indian Ocean (1.5 - 5.2 x 10**-11 g/g). Analyses for Ca, Mn, Fe, Si, Ni, P, and ignition loss are also given. Radioactive equilibria between uranium, ionium, and radium are strongly disturbed throughout the concretions, and the RA/U and lo/U ratios generally exceed equilibrium ratios. Migration of radium from interior layers was established, so that neither determination of the ages of the concretions nor of their rates of growth can be considered reliable. The age of the concretions cannot exceed 800,000 years, and all grew within relatively short periods of time; there may have been "dormant" periods during growth. Estimates of growth rates are calculated from the radium and ionium contents; they show marked discordance.

Chemical and isotopic compositions of rocks and minerals from the Palenyi Island, Por'ya Guba (Bay), White Sea

Hypersthene-garnet-sillimanite-quartz enclaves were studied in orthopyroxene-plagioclase and orthopyroxene-clinopyroxene crystalline schists and gneisses from shear zones exposed in the Palenyi Island within the Early Proterozoic Belomorian Mobile Belt. Qualitative analysis of mineral assemblages indicates that these rocks were metamorphosed to the granulite facies (approximately 900°C and 10-11 kbar). Oxygen isotopic composition was determined in rock-forming minerals composing zones of the enclaves of various mineral and chemical composition. Closure temperatures of the isotopic systems obtained by methods of oxygen isotopic thermometry are close to values obtained with mineralogical geothermometers (garnet-orthopyroxene and garnet-biotite) and correspond to the high-temperature granulite facies (860-900°C). Identified systematic variations in d18O values were determined in the same minerals from zones of different mineral composition. Inasmuch as these zones are practically in contact with one another, these variations in d18O cannot be explained by primary isotopic heterogeneity of the protolith. Model calculations of the extent and trend of d18O variations in minerals suggest that fluid-rock interaction at various integral fluid/rock ratios in discrete zones was the only mechanism that could generate the zoning. This demonstrates that focused fluid flux could occur in lower crustal shear zones. Preservation of high-temperature isotopic equilibria of minerals testifies that the episode of fluid activity at the peak of metamorphism was very brief.