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@@ -48,7 +48,7 @@ Specifically, `pyTCR` implements a horizontally distributed and vertically integ
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The package provides essential functionalities for modeling and interpreting spatio-temporal TC rainfall data. `pyTCR` requires a limited number of model input parameters, making it a convenient and useful tool for analyzing rainfall mechanisms driven by TCs.
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To sample rare (most intense) rainfall events that are often of great societal interest, `pyTCR` adapts and leverages outputs from a statistical-dynamical TC downscaling model [@Lin:2023] capable of rapidly generating a large number of synthetic TCs given a certain climate.
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As a result, `pyTCR` provides a computationally efficient approach for capturing extreme TC rainfall events at the tail of the distributions from limited datasets.
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As a result, `pyTCR` provides a tractable approach for capturing extreme TC rainfall events at the tail of the distributions from limited datasets.
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Furthermore, the TC downscaling model is forced entirely by large-scale environmental conditions from reanalysis data or coupled Earth System Models (ESMs), simplifying the projection of TC-induced rainfall and wind speed under future climate using `pyTCR`. Finally, `pyTCR` can be coupled with hydrological and wind models to assess risks associated with independent and compound events (e.g., storm surges and freshwater flooding).
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The ability of ESMs to simulate climate extremes has substantially improved over the past few decades.
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These models have become key tools used for exploring the effect of global warming on precipitation and climate variability [@Emanuel:2021;@Le:2021;@Le:2023].
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While high-resolution ESMs have enhanced the representation of TCs [@Haarsma:2016;@Li:2018], they remain computationally intensive to conduct, so that only a limited number of simulations can be performed.
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This constrains their application in risk analysis of TC rainfall, which requires extensive sampling of extreme events [@Emanuel:2008].
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`pyTCR` responds to this need with an easy-to-use and fast tool that facilitates TC-driven rainfall analysis across scales.
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It leverages a synthetic downscaling approach that uses simpler embedded models and thermodynamic and kinematic statistics derived from ESM outputs or reanalysis data to generate large (~10$^3$-10$^4$) numbers of synthetic TCs [@Emanuel:2006b;@Lin:2023].
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This enables `pyTCR` to produce statistically robust estimates of the probability distributions of storms for risk assessment.
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This constrains their application in TC rainfall risk analysis, which requires extensive sampling of extreme events [@Emanuel:2008].
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`pyTCR` addresses this need with an easy-to-use and fast tool that facilitates TC-driven rainfall analysis across scales.
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Specifically, it leverages a synthetic downscaling approach that combines statistical track generation with simple deterministic intensity modeling.
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This approach uses thermodynamic and kinematic statistics, derived from ESM outputs or reanalysis data, to generate large (~10$^3$-10$^4$) numbers of synthetic TCs [@Emanuel:2006b;@Lin:2023].
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As a result, `pyTCR` produces statistically robust estimates of the probability distributions of storms for risk assessment.
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# Mathematical Approach

joss/paper.pdf

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