: Paléoclimatologie: transfer function

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transfer function

In engineering, a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function which theoretically models the system's output for each possible input. In some simple cases, this function is a two-dimensional graph of an independent scalar input versus the dependent scalar output, called a transfer curve or characteristic curve. They are widely used in electronics and control systems. Despite the extensive existing literature on the topic, we see the need to clarify some statistical concepts with respect to climate reconstruction, in particular on the identification of transfer functions between noisy proxy and instrumental calibration climate data by regression and other statistical approaches. Transfer functions are defined as empirically derived equations for calculating quantitative estimates of past climate conditions from proxy climate indicator data where the proxy climate indicators are the predictor variables and the target climatic quantities are the predictand variables (Sachs et al. 1977; Fritts et al. 1990). If climatic conditions are the predictor variables and the proxy climate indicators, e.g. tree-ring widths, are the predictand variables, the equations are referred to as response functions. (Adapted from: https://en.wikipedia.org/wiki/Transfer_function and M. B. Cita Sironi & L. Capotondi (2005), Rendiconti Lincei. Scienze Fisiche e Naturali, 16(9), 297-310)

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