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  • 1
    Publication Date: 2022-05-27
    Description: © The Author(s), 2021. This article is distributed under the terms of the Creative Commons Attribution License. The definitive version was published in Drake, H. F., Rivest, R. L., Edelman, A., & Deutch, J. A simple model for assessing climate control trade-offs and responding to unanticipated climate outcomes. Environmental Research Letters, 16(10), (2021): 104012, https://doi.org/10.1088/1748-9326/ac243e.
    Description: Persistent greenhouse gas (GHG) emissions threaten global climate goals and have prompted consideration of climate controls supplementary to emissions mitigation. We present MARGO, an idealized model of optimally-controlled climate change, which is complementary to both simpler conceptual models and more complicated Integrated Assessment Models. The four methods of controlling climate damage—mitigation, carbon dioxide removal (CDR), adaptation, and solar radiation modification (SRM)—are not interchangeable, as they enter at different stages of the causal chain that connects GHG emissions to climate damages. Early and aggressive mitigation is necessary to stabilize GHG concentrations below a tolerable level. While the most cost-beneficial and cost-effective pathways to reducing climate suffering include deployments of all four controls, the quantitative trade-offs between the different controls are sensitive to value-driven parameters and poorly-known future costs and damages. Static policy optimization assumes perfect foresight and obscures the active role decision-makers have in shaping a climate trajectory. We propose an explicit policy response process wherein climate control policies are re-adjusted over time in response to unanticipated outcomes. We illustrate this process in two 'storyline' scenarios: (a) near-term increases in mitigation and CDR are deficient, such that climate goals are expected to slip out of reach; (b) SRM is abruptly terminated after 40 years of successful deployment, causing an extremely rapid warming which is amplified by an excess of GHGs due to deterred mitigation. In both cases, an optimized policy response yields substantial benefits relative to continuing the original policy. The MARGO model is intentionally designed to be as simple, transparent, customizable, and accessible as possible, addressing concerns about previous climate-economic modelling approaches and enabling a more diverse set of stakeholders to engage with these essential and timely topics.
    Description: This material is based upon work supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. 174530.
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 51 (1987), S. 441-458 
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65D05 ; CR: G1.1
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In many applications, interpolation of experimental data exhibiting some geometric property such as nonnegativity, monotonicity or convexity is unacceptable unless the interpolant reflects these characteristics. This paper identifies admissible slopes at data points of variousC 1 interpolants which ensure a desirable shape. We discuss this question, in turn for the following function classes commonly used for shape preserving interpolations: monotone polynomials,C 1 monotone piecewise polynomials, convex polynomials, parametric cubic curves and rational functions.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    BIT 36 (1996), S. 494-508 
    ISSN: 1572-9125
    Keywords: Conjugate gradient ; Lanczos ; Newton's Method ; optimization ; signal processing ; electronic structures ; differential geometry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Numerical analysts, physicists, and signal processing engineers have proposed algorithms that might be called conjugate gradient for problems associated with the computation of eigenvalues. There are many variations, mostly one eigenvalue at a time though sometimes block algorithms are proposed. Is there a correct “conjugate gradient” algorithm for the eigenvalue problem? How are the algorithms related amongst themselves and with other related algorithms such as Lanczos, the Newton method, and the Rayleigh quotient?
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 2 (1995), S. 243-250 
    ISSN: 1070-5325
    Keywords: Cholesky ; norm inequality ; perturbation ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We show that a certain matrix norm ratio studied by Parlett has a supermum that is O(\documentclass{article}\pagestyle{empty}\begin{document}$\mathop \[\sqrt n \] $\end{document}) when the chosen norm is the Frobenius norm, while it is O(log n) for the 2-norm. This ratio arises in Parlett's analysis of the Cholesky decomposition of an n by n matrix.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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