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We have revised the method for estimating the uncertainty in climate system properties from Forest et al. (2002, Science, v.295,p.113-117). To apply a fully Bayesian approach, we approximate the response of the MIT 2DLO climate model with a statistical model that provides a response surface in the uncertain parameter space. The three-dimensional parameter space is defined as climate sensitivity (CS), rate of deepocean heat uptake (KV), and the net aerosol forcing (FA) and have been identified as the three major uncertain quantities that affect the ability to simulate accurately the 20th century climate record. The availability of this response surface permits one to perform a full Markov-Chain Monte-Carlo (MCMC) sampling of the joint posterior distribution of the parameters. This approach facilitates the testing of methodologies for performing the more computationally intensive project using the complete MIT 2DLO climate model, which is infeasible with current computer resources.
Two main results will be presented. First, we develop a formal methodology for estimating the number of retained eigenvalues in the inversion of the noise covariance matrix. This result is fundamental to quantifying the goodness of fit statistics leading to the likelihood function estimates. Second, we will present a MCMC analysis of the probability distribution for the climate system properties and compare with previous results. The method will incorporate the errors from the estimated response surface.
Recent results include the climate system response to the combined anthropogenic and natural forcings for the twentieth century. The MCMC method will be applied to the response to anthropogenic-only forcings in addition to the newer results with the complete set of forcings. As in previous work, the climate change diagnostics, which provide the necessary observational constraints, will include changes in surface, upper-air, and deep-ocean temperatures.

Air quality co-benefits can potentially reduce the costs of greenhouse gas mitigation. However, while many studies of the cost of greenhouse gas mitigation model the full macroeconomic welfare impacts, most studies of air quality co-benefits do not. We employ a US computable general equilibrium economic model previously linked to an air quality modeling system, and enhance it to represent the economy-wide welfare impacts of fine particulate matter. We present a first application of this method to explore the efficiency and the distributional implications of a clean energy standard (CES) and a cap–and–trade (CAT) program that both reduce CO2 emission by 10% in 2030 relative to 2006. We find that co-benefits from fine particulate matter reduction completely offset policy costs by 110% (40% to 190%), transforming the net welfare impact of the CAT into a gain of $1 (-$5 to $7) billion 2005 US$. For the CES, the corresponding co-benefit (median $8; $3 to $14)/tCO2 is a smaller fraction (median 5%; 2% to 9%) of its higher policy cost. The eastern US garners 78% and 71% of co-benefits for the CES and CAT, respectively. By representing the effects of pollution-related morbidities and mortalities as an impact to labor and the demand for health services, we find that the welfare impact per unit of reduced pollution varies by region. These interregional differences can enhance the preference of some regions, like Texas, for a CAT over a CES, or switch the calculation of which policy yields higher co-benefits, compared to an approach that uses one valuation for all regions. This framework could be applied to quantify consistent air quality impacts of other pricing instruments, subnational trading programs, or green tax swaps.

In order to examine the underlying longer-term trends in greenhouse gases, that are driven for example by anthropogenic emissions or climate change, it is useful to remove the recurring effects of natural cycles and oscillations on the sources and/or sinks of those gases that have strong biological (e.g., CO2, CH4, N2O) and/or photochemical (e.g., CH4) influences on their global atmospheric cycles. We use global observations to calculate monthly estimates of greenhouse gas levels expressed as CO2 equivalents, and then fit these estimates to a semi-empirical model that includes the natural seasonal, QBO, and ENSO variations, as well as a second order polynomial expressing longer-term variations. We find that this model provides a reasonably accurate fit to the observation-based monthly data. We also show that this semi-empirical model has some predictive capability; that is it can be used to provide a reasonably reliable estimate of CO2 equivalents at the current time using validated observations that lag real time by a few to several months.

For more information, see the Carbon Counter Project.

We present a model of diverse phytoplankton and zooplankton populations embedded in a global ocean circulation model. Physiological and ecological traits of the organisms are constrained by relationships with cell size. The model qualitatively reproduces global distributions of nutrients, biomass, and primary productivity, and captures the power-law relationship between cell size and numerical density, which has realistic slopes of between 21.3 and 20.8. We use the model to explore the global structure of marine ecosystems, highlighting the importance of both nutrient and grazer controls. The model suggests that zooplankton : phytoplankton (Z : P) biomass ratios may vary from an order of 0.1 in the oligotrophic gyres to an order of 10 in upwelling and highlatitude regions. Global estimates of the strength of bottom-up and top-down controls within plankton size classes suggest that these large-scale gradients in Z : P ratios are driven by a shift from strong bottom-up, nutrient limitation in the oligotrophic gyres to the dominance of top-down, grazing controls in more productive regions.

© 2012 Association for the Science of Limnology and Oceanography

We present a numerical method for finite-horizon stochastic optimal control models. We derive a stochastic minimum principle (SMP) and then develop a numerical method based on the direct solution of the SMP. The method combines Monte Carlo pathwise simulation and non-parametric interpolation methods.We present results from a standard linear quadratic control model, and a realistic case study that captures the stochastic dynamics of intermittent power generation in the context of optimal economic dispatch models.

© 2013 Elsevier Ltd.

With the risks of climate change becoming increasingly evident, there is growing discussion regarding international treaties and national regulations to lower greenhouse gas (GHG) emissions. Enforcement of such agreements is likely to depend formally upon national and sectoral emission reporting procedures (sometimes referred to as “bottom-up” methods). However, for these procedures to be credible and effective, it is essential that these reports or claims be independently verified. In particular, any disagreements between these “bottom-up” emission estimates, and independent emission estimates inferred from global GHG measurements (so-called “top-down” methods) need to be resolved. Because emissions control legislation is national or regional in nature, not global, it is also essential that “top-down” emission estimates be determined at these same geographic scales. This report lays out a strategy for quantifying and reducing uncertainties in greenhouse gas emissions, based on a comprehensive synthesis of global observations of various types with models of the global cycles of carbon dioxide and other greenhouse gases that include both the natural and human influences on these cycles. The overall goal is to establish a global observing and estimation system that incorporates all relevant available knowledge (physical, biogeochemical, technological and economic) in order to verify greenhouse gas emissions, as a key component of any global GHG treaty. 

This paper presents an investigation of the relations in China between farm output, the natural fertility of agricultural land, and the use of anthropogenic farm inputs. The methodology is presented as a potential increment to the analysis of the effects of climate change in agriculture. Variations of climate, soil and topographic conditions, and direct farm inputs across the prefectures of China are used to determine their effects on the output of particular crops. The study estimates crop production functions with conventional land, labor, fertilizer and mechanical inputs, and the net primary productivity (NPP) projections of the Terrestrial Ecosystems Model to reflect climatic conditions. Estimates of the NPP of the land in each prefecture are used to simulate the effects of climate and other natural growing conditions. The results suggest that there is substantial scope for increasing food production in China by increasing its irrigation of farm land and the use of farm inputs of fertilizer and mechanical power.

Because human activities emit greenhouse gases (GHGs) and conventional air pollutants from common sources, policy designed to reduce GHGs can have co-benefits for air quality that may offset some or all of the near-term costs of GHG mitigation. We present a systems approach to quantify air quality co-benefits of US policies to reduce GHG (carbon) emissions. We assess health-related benefits from reduced ozone and particulate matter (PM2.5) by linking three advanced models, representing the full pathway from policy to pollutant damages. We also examine the sensitivity of co-benefits to key policy-relevant sources of uncertainty and variability. We find that monetized human health benefits associated with air quality improvements can offset 26-1050% of the cost of U.S. carbon policies. More flexible policies that minimize costs, such as cap-and-trade standards, have larger net co-benefits than policies that target specific sectors (electricity and transportation). While air quality co-benefits can be comparable with policy costs for present-day air quality and near-term U.S. carbon policies, potential co-benefits rapidly diminish as carbon policies become more stringent.

© 2014 Nature Publishing Group

We describe the coupling of a three-dimensional ocean circulation model, with explicit thermodynamic seaice and ocean carbon cycle representations, to a two-dimensional atmospheric/land model. This coupled system has been developed as an efficient and flexible tool with which to investigate future climate change scenarios. The setup is sufficiently fast for large ensemble simulations that address uncertainties in future climate modeling. However, the ocean component is detailed enough to provide a tool for looking at the mechanisms and feedbacks that are essential for understanding the future changes in the ocean system.
        Here we show results from a single example simulation: a spin-up to pre-industrial steady state, changes to ocean physical and biogeochemical states for the 20th century (where changes in greenhouse gases and aerosol concentrations are taken from observations) and predictions of further changes for the 21st century in response to increased greenhouse gas and aerosol emissions. We plan, in future studies to use this model to investigate processes important to the heat uptake of the oceans, changes to the ocean circulation and mechanisms of carbon uptake and how these will change in future climate scenarios.

Debates over post-Kyoto Protocol climate change policy often take note of two issues: the feasibility and desirability of international cooperation on climate change policies, given the failure of the United States to ratify Kyoto and the very limited involvement of developing countries, and the optimal timing of climate policies. In this book essays by leading international economists offer insights on both these concerns. The book first considers the appropriate institutions for effective international cooperation on climate change, proposing an alternative to the Kyoto arrangement and a theoretical framework for such a scheme. The discussions then turn to the stability of international environmental agreements, emphasizing the logic of coalition forming and demonstrating the applicability of game-theoretical analysis. Finally, contributors address both practical and quantitative aspects of policy design, offering theoretical analyses of such specific policy issues as intertemporal carbon trade and implementation of a sequestration policy, and then by formal mathematical models examining policies related to the rate of climate change, international trade and carbon leakage, and the shortcomings of the standard Global Warming Potential index.

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