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from __future__ import division | ||
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import numpy as np | ||
from ..constants import cl_atoms, br_atoms, fracrel | ||
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def thornhill_skeie( | ||
emissions, | ||
concentrations, | ||
temperature=0, | ||
feedback=-0.037, | ||
beta=np.array([2.33379720e-04, 1.27179106e-03, -6.69347820e-05, | ||
1.14647701e-04, 5.14366051e-12, 3.78354423e-03]), | ||
emissions_pi=np.zeros(40), | ||
concentrations_pi=np.zeros(31), | ||
): | ||
"""Calculates total ozone forcing from precursor emissions and | ||
concentrations based on AerChemMIP and CMIP6 Historical behaviour | ||
Skeie et al. (2020) | ||
Thornhill et al. (2021) | ||
Unlike Stevenson CMIP5 no distinction is made for tropospheric and | ||
stratospheric. | ||
With this formulation, ozone forcing depends on concentrations of | ||
CH4, N2O, ozone-depleting halogens, and emissions of CO, NVMOC and NOx, | ||
but any combination of emissions and concentrations are allowed. | ||
Inputs: | ||
emissions: (nt x 40) numpy array in FaIR default units | ||
concentrations: (nt x 31) numpy array of GHGs in FaIR default units | ||
temperature: global mean surface temperature (for feedback) | ||
feedback: temperature feedback on ozone forcing (W/m2/K) - set to zero | ||
or False to turn off | ||
beta: 6-element array of radiative efficiency coefficients in order of | ||
CH4 concentrations, W m-2 ppb-1 | ||
N2O concentrations, W m-2 ppb-1 | ||
ODS concentrations in EESC, W m-2 ppt-1 | ||
CO emissions, W m-2 (Mt yr-1)-1 | ||
NMVOC emissions, W m-2 (Mt yr-1)-1 | ||
NOx emissions, W m-2 (MtN yr-1)-1 | ||
emissions_pi: pre-industrial/reference emissions | ||
concentrations_pi: pre-industrial/reference concentrations | ||
Outputs: | ||
ozone ERF time series. | ||
""" | ||
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# we allow 2D output for quick calculation if feedbacks turned off | ||
if emissions.ndim == 1: | ||
nspec = len(emissions) | ||
emissions = emissions.reshape((1, nspec)) | ||
if concentrations.ndim == 1: | ||
nspec = len(concentrations) | ||
concentrations = concentrations.reshape((1, nspec)) | ||
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nt = emissions.shape[0] | ||
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# calculate EESC for halogens | ||
cl = np.array(cl_atoms.aslist) | ||
br = np.array(br_atoms.aslist) | ||
fc = np.array(fracrel.aslist) | ||
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def eesc(c_ods, c_ods_pi): | ||
return ( | ||
np.sum(cl * (c_ods-c_ods_pi) * fc/fc[0]) + | ||
45 * np.sum(br * (c_ods-c_ods_pi) * fc/fc[0]) | ||
) * fc[0] | ||
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c_ch4, c_n2o = concentrations[:, [1, 2]].T | ||
# delta_c_ods = eesc(concentrations[:,15:].T, concentrations_pi[None, 15:]) | ||
c_ods = concentrations[:,15:] | ||
e_co, e_nmvoc, e_nox = emissions[:,[6, 7, 8]].T | ||
c_ch4_pi, c_n2o_pi = concentrations_pi[[1, 2]] | ||
c_ods_pi = concentrations_pi[15:] | ||
e_co_pi, e_nmvoc_pi, e_nox_pi = emissions_pi[[6, 7, 8]] | ||
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forcing = np.zeros(nt) | ||
if np.isscalar(temperature): | ||
temperature = np.ones(nt) * temperature | ||
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for i in range(nt): | ||
f_ch4 = beta[0] * (c_ch4[i] - c_ch4_pi) | ||
f_n2o = beta[1] * (c_n2o[i] - c_n2o_pi) | ||
f_ods = beta[2] * eesc(c_ods[i], c_ods_pi) | ||
f_co = beta[3] * (e_co[i] - e_co_pi) | ||
f_nmvoc = beta[4] * (e_nmvoc[i] - e_nmvoc_pi) | ||
f_nox = beta[5] * (e_nox[i] - e_nox_pi) | ||
forcing[i] = f_ch4 + f_n2o + f_ods + f_co + f_nmvoc + f_nox + feedback * temperature[i] | ||
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return forcing |
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