From 985cd8bae118d9dd94da19749f5c283f2afacdce Mon Sep 17 00:00:00 2001 From: Adam-Dvorak1 <92300992+Adam-Dvorak1@users.noreply.github.com> Date: Fri, 9 Dec 2022 10:37:41 +0100 Subject: [PATCH] Refine math in myopic.rst --- doc/myopic.rst | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/doc/myopic.rst b/doc/myopic.rst index af67fac7..bd51331d 100644 --- a/doc/myopic.rst +++ b/doc/myopic.rst @@ -81,12 +81,12 @@ Conventional carriers indicate carriers used in the existing conventional techno Options ============= The total carbon budget for the entire transition path can be indicated in the `sector_opts `_ in ``config.yaml``. The carbon budget can be split among the ``planning_horizons`` following an exponential or beta decay. -E.g. ``'cb40ex0'`` splits a carbon budget equal to 40 GtCO_2 following an exponential decay whose initial linear growth rate $r$ is zero. +E.g. ``'cb40ex0'`` splits a carbon budget equal to 40 Gt :math:`_{CO_2}` following an exponential decay whose initial linear growth rate r is zero. They can also follow some user-specified path, if defined `here `_. The paper `Speed of technological transformations required in Europe to achieve different climate goals (2022) `__ defines CO_2 budgets corresponding to global temperature increases (1.5C – 2C) as response to the emissions. Here, global carbon budgets are converted to European budgets assuming equal-per capita distribution which translates into a 6.43% share for Europe. The carbon budgets are in this paper distributed throughout the transition paths assuming an exponential decay. Emissions e(t) in every year t are limited by .. math:: - e(t) = e_0 (1+ (r+m)t) e^(-mt) + e(t) = e_0 (1+ (r+m)t) e^{-mt} where r is the initial linear growth rate, which here is assumed to be r=0, and the decay parameter m is determined by imposing the integral of the path to be equal to the budget for Europe. Following this approach, the CO_2 budget is defined. Following the same approach as in this paper, add the following to the ``scenario.sector_opts`` E.g. ``-cb25.7ex0`` (1.5C increase)