<content> Data2 </content>

09ba4279-0bde-4476-aec1-0caceb179010 161 Reg Curry 4 5 false false false 0 0 decimal

&[DATE] &[TIME] - &[FILENAME]

CO₂ FORCING SATURATION STUDY

Data2 185019684760028354588001851198778540301849220018522075950903065093600185321723698031228347001854255038560316987880018552602598603138780700185627824563032471299001857281181060323226730018582855484003260377600185930257216033412465001860332298460311314640018613491901803116545300186235599110030964431001863379534880308665370018644095254003028223000186543485133030062833001866449067000305719400018674808139003051036400186849449354030331600001869524731070310961900018705361233003371271700187156977664034242982001872630961500368346730018736704672003650682400187462866220038066693001875681048000394347370018766905825003973975300187770403283038854932001878709649540398656610018797597943704029951000188085805570042383706001881887965000426504630018829378882604494524000188399751456044764186001884100942980046416814001885101714450046483886001886103261360045779550001887108372750047751710001888120080170047672200001889120151630048792105001890130659120052569240001891136891570055295530001892137980890054816390001893136251510056512087001894141153290057156977001895149523890058047263001896154466090057892860001897161749270060218500001898170596100060628966001899186313540063107460001900196149070064675880001901202396390065567263001902207480030067020200001903226204620068589830001904228750920069665843001905243706200072638044001906254448600073817900001907290032460076488590001908278568680076245207001909290116740078473564001910304332600077902120001911309009820079168594001912324647700079326780001913351653300080310845001914318978640077861920001915314027670077114194001916339197300079146310001917354813850080935137001918349968640080481760001919303383940075151030001920353783700081413600001921310618420079451377001922325446270080570327001923369069770085984340001924370277700086240790001925374063360086590770001926367740750086077130001927401294720089788030001928399631180089363000001929428821150091823170001930395809600089783520001931353932030087241650001932319259160084260014001933336268340086600490001934365618710089939660001935383574250090969080001936420793060095085030001937449671530098650070001938422961920096477040001939447013500098272970001940488466400010343007000194149990927001073739400019424982524000107517670001943507527300010796097000194451624863001086088600019454289312500998161100019464608547000102560990001947516520550010801528000194854478850001099817600019495204035000106802320001950593024360012137298000195163814287001294123400019526467460600129455410001953665088500013239966000195467895290001376999000019557443896000145671240001956792601300015145513000195781856450001550921100019588417187300156085020001959885469000016598380000196093870110001609302000019619415042000162355690001962974728700016077983000196310266772000164280550001964108244650001668329300019651131060000016935702000196611862647000170854770001967122373690001763822400019681290528400018237686000196913761785000195977580001970148991240002059322800019711550385500020621949000197216224597000216151570001973170850940002232917600019741701107200022149474000197517052752000221120860001976179891120002307328800019771849863600024012407000197819069290000244823470001979196090200002429577200019801948852400024456057000198119022903000238528430001982188710970002341479600019831899191000023776866000198419647801000252868810001985203119020002560286500019862061496300026142145000198721250075000265898780001988220851300002725611500019892238663700027339980000199022728989000277055900001991231861020002815608800019922252817200027786177000199322755787000277296480001994229929470002888232300019952353208300028964485000199624258169000302707100001997244019060003180847100019982430377800030448243000199924853730000308566430002000255105540003080777300020012570629300030471537000200226276870000314049860002003276694900003374517000020042863250600034036494000200529614395000345053760002006306283970003596054000020073153464500036129227000200832074200000369545100002009315419220003681590000020103335590300038843814000201134504540000397828060002012350000200004065191500020133530165500040417810000201435450094000408462870002015354049000004093648500020163541665800039822910000201735989897000402209180002018367304250004057514400020193710427500040891020000202035126526000385655200002021369917340004054451400020223729383400040834870000202337791570000414164800001743 mat :

Data2 1850.00 1.97 108^* 2.84 109^* 1851.00 1.99 108^* 3.02 109^* 1852.00 2.08 108^* 3.07 109^* 1853.00 2.17 108^* 3.12 109^* 1854.00 2.55 108^* 3.17 109^* 1855.00 2.60 108^* 3.14 109^* 63 mat

Date Data2 1 col :

Data2 rows 174.00

Emission Data2 2 col 109 -^* :

t.0 Date min : 1850

Date max 2023

DATA Date Emission augment :

Date 165 el 2014

t.1 2014 :

FIT TO EMISSION DATA

<content> FIT EMISSION DATA </content>

SMATH FIT USING al_nelqsolve

X DATA 1164 range 1 el :

Y DATA 1164 range 2 el :

t u F.exp a b c 13 mat u 1 el u 2 el u 3 el 13 mat : c a e b t t.0 - t.0 / *^* + vectorize 21 line :

u.exp 101010 - 31 mat u φ X u F.exp Y - : al_nleqsolve : 0.97 41.4897 1.2496 - 31 mat

TRYING TO CREATE A LINEAR FIT WHERE THE DATA LEVELS OFF BETWEEN 2014 AND 2023

X DATA 165 DATA rows range 1 el :

Y DATA 165 DATA rows range 2 el :

Y 1 el 35.4501

NORM Y 1 el Y min / : 1.0092

t u F.lin a b 12 mat u 1 el u 2 el 12 mat : a b t t.1 - t.1 / * + vectorize 21 line :

u.lin 101021 mat u φ X u F.lin Y - : al_nleqsolve : 35.2403 487.6924 21 mat

2014 u.lin F.lin 35.2403

XYPlot'XAxis'Min 1850 setprop 1

XYPlot'XAxis'Tick 50 setprop 1

XYPlot'XAxis'Max 2050 setprop 1

XYPlot'YAxis'Min 10 - setprop 1

XYPlot'YAxis'Tick 10 setprop 1

XYPlot'YAxis'Max 100 setprop 1 ≡

t F t u.exp F.exp t t.1 < NORM t u.lin F.lin * cases :

Plot DATA t F t.1 0 t.1 t.1 F 22 mat 31 sys :

Plot

TO GET CUMULATIVE EMISSIONS WE MUST SOLVE THE FOLLOWING ODE

t y t diff t Q λ t y * - ≡

Where Q(t) is the driving function = yearly emissions and λ = decay of CO₂ in the atmosphere.

SOLUTION TO THE ODE TO GET CUMULATIVE EMISSIONS

<content> ODE TO GET TOTAL CONCENTRATION </content>

τ 300 :

λ 1 τ / :

enddate 2200 :

ppm 1 7.8 / :

t CO.2 ppm e λ t * -^s F e λ s *^* s t.0 t int * * :

... or ...

RK t y enddate 50 Rkadapt :

Plot RK t CO.2 t.1 0 t.1 t.1 CO.2 22 mat 31 sys :

t y' ppm t F * λ t y * - ≡

t.0 y ppm t.0 F * ≡

CO2'XAxis'Min 1850 setprop 1

CO2'XAxis'Tick 50 setprop 1

CO2'XAxis'Max 2250 setprop 1

CO2'YAxis'Min 50 - setprop 1

CO2'YAxis'Tick 200 setprop 1

CO2'YAxis'Max 1400 setprop 1

Plot <content> END OF WORKSHEET </content>