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This technical note describes an integrated model of US and world trade as well as the assumptions embedded in the creation of the underlying benchmark dataset required for its calibration. Such a model allows for general equilibrium analysis requiring both a US and a global scale. The model has potential uses in a variety of policy-relevant fields in which international trade plays a role. By tracking bilateral trade between states and countries, one can explicitly predict the effects of a trade restricting or trade facilitating policy on a specific state or region of the US. Distributional effects can also be investigated thanks to the inclusion of different household classes and government agents.

In order to elucidate interactions between climate change and biogeochemical processes and to provide a tool for comprehensive analysis of sensitivity, uncertainty, and proposed climate change mitigation policies, we have developed a zonally averaged two-dimensional model including coupled biogeochemical and climate submodels, as a part of an integrated global system model. When driven with calculated or estimated trace gas emissions from both anthropogenic and natural sources, it is designed to simulate centennial-scale evolution of many radiatively and chemically important tracers in the atmosphere. Predicted concentrations of chemical species in the chemistry submodel are used interactively to calculate radiative forcing in the climate submodel, which, in turn, provides winds, temperatures, and other variables to the chemistry submodel.
        Model predictions of the surface trends of several key species are close to observations over the past 10-20 years. Predicted vertical distributions of climate-relevant species, as well as seasonal variations, are also in good agreement with observations. Runs of the model imply that if the current increasing trends of anthropogenic emissions of climate-relevant gases are continued over the next century, the chemical composition of the atmosphere will be quite different in the year 2100 than that currently observed. The differences involve not only higher concentrations of major long-lived trace gases such as CO2, N2O, and CH4, but also about 20% lower concentrations of the major tropospheric oxidizer (OH free radical), and almost double the current concentrations of the short-lived air pollutants CO and NOx.

In order to elucidate interactions between climate change and biogeochemical processes and to provide a tool for comprehensive analysis of sensitivity, uncertainty, and proposed climate change mitigation policies, we have developed a zonally averaged two-dimensional model including coupled biogeochemical and climate submodels, as a part of an integrated global system model. When driven with calculated or estimated trace gas emissions from both anthropogenic and natural sources, it is designed to simulate centennial-scale evolution of many radiatively and chemically important tracers in the atmosphere. Predicted concentrations of chemical species in the chemistry submodel are used interactively to calculate radiative forcing in the climate submodel, which, in turn, provides winds, temperatures, and other variables to the chemistry submodel. Model predictions of the surface trends of several key species are close to observations over the past 10–20 years. Predicted vertical distributions of climate-relevant species, as well as seasonal variations, are also in good agreement with observations. Runs of the model imply that if the current increasing trends of anthropogenic emissions of climate-relevant gases are continued over the next century, the chemical composition of the atmosphere would be quite different in the year 2100 than that currently observed. The differences involve not only higher concentrations of major long-lived trace gases such as CO2, N2O, and CH4 but also about 20% lower concentrations of the major tropospheric oxidizer (OH free radical), and almost double the current concentrations of the short-lived air pollutants CO and NOx .

Copyright 1998 by the American Geophysical Union

Land ecosystems play a major role in the global cycles of energy, water, carbon and nutrients. A Global Land System (GLS) framework has been developed for the Integrated Global Systems Model Version 2 (IGSM2) to simulate the coupled biogeophysics and biogeochemistry of these ecosystems, as well as the interactions of these terrestrial processes with the climate system. The GLS framework has resolved a number of water and energy cycling deficiencies and inconsistencies introduced in IGSM1. In addition, a new representation of global land cover and classification as well as soil characteristics has been employed that ensures a consistent description of the global land surface amongst all the land components of the IGSM2. Under this new land cover classification system, GLS is run for a mosaic of land cover types within a latitudinal band defined by the IGSM2 atmosphere dynamics and chemistry sub-model. The GLS shows notable improvements in the representation of land fluxes and states of water and energy over the previous treatment of land processes in the IGSM1. In addition, the zonal features of simulated carbon fluxes as well as key trace gas emissions of methane and nitrous oxide are comparable to estimates based on higher resolution models constrained by observed climate forcing. Given this, the GLS framework represents a key advance in the ability of the IGSM to faithfully represent coupled terrestrial processes to the climate system, and is well poised to support more robust two-way feedbacks of natural and managed hydrologic and ecologic systems with the climate and socio-economic components of the IGSM2.

Measures of reference evapotranspiration are essential for applications of agricultural management and water resources engineering. Using numerous esoteric variables, one can calculate daily reference evapotranspiration using the Modified Penman-Monteith methods. In 1985, Hargreaves developed a simplified method for estimating reference evapotranspiration. Similarly, Droogers and Allen improved upon Hargreaves’ method in 2002. Both methods provide excellent estimates of average daily rates for a given month, based on monthly climatology. The Hargraeves method also estimates daily rates based on daily data, though the Modified Hargreaves approach developed by Droogers and Allen is largely accepted as a stronger metric. Here efforts are made to improve the functionality of Droogers and Allen’s approach and to adapt it to provide daily estimates of reference evapotranspiration based on daily weather. The Hargreaves and Modified Hargeaves are used to calculate daily reference evapotranspiration based on daily data. The coefficients in these equations are then optimized to reduce the root mean squared difference between each estimate and the baseline value calculated by the Modified Penman-Monteith approach. The adapted method for daily reference evapotranspiration proves promising; estimating rates near a root mean squared difference of 1.07 mm/day. These results are validated with data from 1976-1980; here the root mean squared difference is 1.06 mm/day. Results are evaluated spatially and temporally. Weaknesses are seen in the estimates around clearly-defined summers. Further weaknesses are seen in pole-ward regions. Still, at the 1% significance level, the daily optimization of the Modified Hargreaves equation is found to be the best replica of the Modified Penman-Monteith method, globally. Finally, specific caveats and further avenues of research are noted. Overall, the daily Modified-Hargreaves method is advocated for general use in global studies where daily data and variation is of the utmost concern.

The accuracy of measurements plays a very important role in the inverse estimation of emissions of trace gases such as methane and therefore it is crucial to determine the accuracy needed to estimate the gas emissions within some desired degree of confidence. The Fisher Information Matrix and the Cramér-Rao inequality are useful mathematical tools to answer this question. The Cramér-Rao lower bound on the error variance of the estimators is calculated as the inverse of the Fisher Information Matrix, which is a measure of the variance of the score and represents the ability to estimate the parameters. The Fisher Information matrix is related to the system sensitivity to the parameters and the uncertainty in the measurements. Under the normality assumption for the errors, the Fisher Information matrix can be calculated using the sensitivity matrix (the Jacobian matrix) and the covariance matrix of the errors. For the numerical evaluation of the matrix of sensitivities of the observations to emissions, it is necessary to compute the forward derivative of MATCH (a 3D Model of Atmospheric Transport and Chemistry). As an example we consider a set of pseudo-observations mimicking the ESA SCIAMACHY satellite orbits and data products. The code to compute the sensitivities has been generated by automatic differentiation (AD) of the forward simulation code using Tapenade, an AD tool developed by INRIA, France. The original Fortran90 code is augmented with the derivative calculations, making it possible to evaluate systematically the sensitivity derivatives of the model output (tracer concentrations of methane) with respect to the input emissions. Practical issues associated with the computation of large scale models and optimality criteria will be discussed.

Possible climate change caused by an increase ingreenhouse gas concentrations, despite having been asubject of intensive study in recent years, is stillvery uncertain. Uncertainties in projections ofdifferent climate variables are usually described onlyby the ranges of possible values. For assessing thepossible impact of climate change, it would be moreuseful to have probability distributions for thesevariables. Obtaining such distributions is usuallyvery computationally expensive and requires knowledgeof probability distributions for characteristics ofthe climate system that affect climate projections. A fewstudies of this kind have been carried out with energybalance/upwelling diffusion models. Here wedemonstrate a methodology for performing a similarstudy with a 2 dimensional (zonally averaged) climatemodel that reproduces the behavior of coupledatmosphere/ocean general circulation models morerealistically than energy balance models. Thismethodology involves application of the DeterministicEquivalent Modeling Method to derive functionalapproximations of the model's probabilistic response.Monte Carlo analysis is then performed on theapproximations. An application of the methodology isdemonstrated by deriving the uncertainty in surfaceair temperature change and sea level rise due tothermal expansion of the ocean that result fromuncertainties in climate sensitivity and the rate ofheat uptake by the deep ocean for a prescribedincrease in atmospheric CO2 concentration. Wealso demonstrate propagation of correlateduncertainties through different models, by presentingresults that include uncertainty in projected carbonemissions.

© Springer

As part of the Coupled Model Intercomparison Project, integrations with a common design have been undertaken with eleven different climate models to compare the response of the Atlantic thermohaline circulation (THC) to time-dependent climate change caused by increasing atmospheric CO2 concentration. Over 140 years, during which the CO2 concentration quadruples, the circulation strength declines gradually in all models, by between 10 and 50%. No model shows a rapid or complete collapse, despite the fairly rapid increase and high final concentration of CO2. The models having the strongest overturning in the control climate tend to show the largest THC reductions. In all models, the THC weakening is caused more by changes in surface heat flux than by changes in surface water flux. No model shows a cooling anywhere, because the greenhouse warming is dominant.

©2005 American Geophysical Union

A thorough analysis of the inter-hemispheric Rooth 3-box model is performed in order to study the stability of the present northen sinking regime of the Thermohaline Circulation (THC) against perturbations to the atmospheric freshwater and heat fluxes. The perturbations lead the system to a newly established equilibrium that is either qualitatively similar to the initial one, i.e. a northern sinking equilibrium, or radically different i.e. presenting a reversed THC.We first analyze the uncoupled version of the model. High rates of increase in the poleward moisture flux in the Northern Hemisphere lead to a THC breakdown at smaller moisture fluxes than low rates, while increases in the poleward moisture flux in the Southern Hemisphere strongly inhibit the breakdown Similarly, heat flux increases in the Northern Hemisphere destabilize the system more effectively than slow ones, and again the heat flux increases in the Southern Hemisphere tend to drive the system towards stability. Thus in the case of realistic perturbations, e.g., in global warming scenarios, it is necessary to perturb the system in both hemispheres at the same time. Although there is an overall similarity between the effects of atmospheric freshwater and heat fluxes perturbation, a detailed comparison where the intensity of the two perturbations are rescaled in density unity shows that the thermal and saline way of destabilizing the THC are not fully equivalent. In the coupled version of the model (the Scott et al. model) the atmospheric freshatwater and heat fluxes depend of the temperatures of the boxes and are parametrized in a physically based way. The preliminary results obtained for this version of the model present interesting features both resembling and not resembling the results obtained for the uncoupled model. Complete results will be presented at the conference.

The role of black carbon (BC) aerosols in climate change is important because of its strong capability in causing extinction of solar radiation. A three-dimensional interactive aerosol-climate model has been used to study the climatic impact of BC. The interannual variations of BC solar forcing derived from 20-year transient integrations are as up to 4 times large as the means mainly related to changes in cloud cover, snow depth (approximately +/- 20% over many high or even midlatitude regions in Northern Hemisphere) and thus surface albedo, all caused by BC solar forcing itself. With an absolute amount 3 times higher than that of the top of the atmosphere (TOA) forcing, the surface forcing of BC is an extremely important factor in analyzing the climate impact of BC. BC aerosols cause a 'cloud burning' effect in several polluted regions and a 'cloud enhancing' effect in some high latitude sites. Combined with BC caused changes in surface albedo, this is defined as a non-Twomey-Albrecht indirect forcing by BC, which alters the radiative budgets by changing cloud cover and some land surface properties thermodynamically rather than microphysically. The result of this study does not indicate that BC aerosols contribute to a significant increase in land surface temperature with annual emissions of 14 TgC. The calculated surface temperature change is determined by a subtle balance among changes in surface energy sources and sinks as well as changes in the hydrological cycle, all caused by BC radiative forcing. The result of this study shows that the influences of BC aerosols on climate and environment in regional scale are more significant than those in global scale. Several important feedbacks between BC radiative effect and climate dynamics revealed in this study suggest the importance of using interactive aerosol-climate model to address the issues related to the climate impacts of aerosols.

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