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Finding the highest and lowest rates of increase at specific x value across several time series in R

I would like to attempt to determine the difference between the highest and lowest rates of increase across a series of dataframes at a specified x value. As shown below, the dataframes have basic x and y columns, with emissions values in the x column, and precipitation values in the y column. Among the dataframes, the idea would be to determine the highest and lowest rates of precipitation increase at "approximately" 1 Terratons of emissions (TtC) relative to the first value of each time series. For example, I want to figure out which dataframe has the highest increase at 1 TtC, and which dataframe has the lowest increase at 1 TtC. at However, I am not sure if there is a way to quickly achieve this? Here are the dataframes that I created, followed by an example of how each dataframe is structured:
#Dataframe objects created:
? ? CanESMRCP8.5PL<-data.frame(get3.teratons, pland20)?? ? IPSLLRRCP8.5PL<-data.frame(get6.teratons, pland21)? ? IPSLMRRCP8.5PL<-data.frame(get9.teratons, pland22)? ? IPSLLRBRCP8.5PL<-data.frame(get12.teratons, pland23)? ? MIROCRCP8.5PL<-data.frame(get15.teratons, pland24)? ? HadGEMRCP8.5PL<-data.frame(get18.teratons, pland25)? ? MPILRRCP8.5PL<-data.frame(get21.teratons, pland26)? ? GFDLGRCP8.5PL<-data.frame(get27.teratons, pland27)? ? GFDLMRCP8.5PL<-data.frame(get30.teratons, pland28)
#Example of what each of these look like:
? ? >CanESMRCP8.5PL
? ? ? ? get3.teratons? ?pland20? ? X1? ? ? 0.4542249 13.252426? ? X2? ? ? 0.4626662? 3.766658? ? X3? ? ? 0.4715780? 2.220986? ? X4? ? ? 0.4809204? 8.495072? ? X5? ? ? 0.4901427 10.206458? ? X6? ? ? 0.4993126 10.942797? ? X7? ? ? 0.5088599? 6.592956? ? X8? ? ? 0.5187588? 2.435796? ? X9? ? ? 0.5286758? 2.275836? ? X10? ? ?0.5389284? 5.051706? ? X11? ? ?0.5496212? 8.313389? ? X12? ? ?0.5600628? 9.007722? ? X13? ? ?0.5708608 11.905644? ? X14? ? ?0.5819234? 6.126022? ? X15? ? ?0.5926283? 9.883264? ? X16? ? ?0.6042306? 7.699696? ? X17? ? ?0.6159752? 5.614193? ? X18? ? ?0.6274483? 6.681527? ? X19? ? ?0.6394011 10.112812? ? X20? ? ?0.6519496? 8.721810? ? X21? ? ?0.6646344 10.315931? ? X22? ? ?0.6773436 11.372490? ? X23? ? ?0.6903203? 8.662169? ? X24? ? ?0.7036479 10.106109? ? X25? ? ?0.7180955 10.990867? ? X26? ? ?0.7322746 13.491778? ? X27? ? ?0.7459771 17.256650? ? X28? ? ?0.7604589 12.040960? ? X29? ? ?0.7753096 10.638796? ? X30? ? ?0.7898374? 7.889500? ? X31? ? ?0.8047258 11.757174? ? X32? ? ?0.8204160 15.060151? ? X33? ? ?0.8359387? 9.822078? ? X34? ? ?0.8510721 11.388695? ? X35? ? ?0.8661237 10.271567? ? X36? ? ?0.8815913 13.224285? ? X37? ? ?0.8984146 15.584782? ? X38? ? ?0.9154501? 9.320024? ? X39? ? ?0.9324529? 9.187128? ? X40? ? ?0.9497379 12.919805? ? X41? ? ?0.9672824 15.190318? ? X42? ? ?0.9854439 12.098606? ? X43? ? ?1.0041460 16.758629? ? X44? ? ?1.0241779 17.435182? ? X45? ? ?1.0451656 15.323428? ? X46? ? ?1.0663605 18.292109? ? X47? ? ?1.0868977 12.625429? ? X48? ? ?1.1079376 17.318583? ? X49? ? ?1.1295719 14.056624? ? X50? ? ?1.1516720 18.239445? ? X51? ? ?1.1736696 16.312087? ? X52? ? ?1.1963065 18.683315? ? X53? ? ?1.2195753 20.364835? ? X54? ? ?1.2425277 14.337167? ? X55? ? ?1.2653873 16.072449? ? X56? ? ?1.2888002 14.870248? ? X57? ? ?1.3126799 18.431717? ? X58? ? ?1.3362459 19.873449? ? X59? ? ?1.3593610 17.278361? ? X60? ? ?1.3833589 18.532887? ? X61? ? ?1.4083234 16.178170? ? X62? ? ?1.4328881 17.689810? ? X63? ? ?1.4572568 21.395131? ? X64? ? ?1.4821021 20.154886? ? X65? ? ?1.5072721 15.655971? ? X66? ? ?1.5325393 21.692028? ? X67? ? ?1.5581797 23.258303? ? X68? ? ?1.5842384 23.802459? ? X69? ? ?1.6108635 15.824673? ? X70? ? ?1.6365393 19.016228? ? X71? ? ?1.6618322 20.957593? ? X72? ? ?1.6876948 19.105363? ? X73? ? ?1.7134712 19.759288? ? X74? ? ?1.7392598 27.315595? ? X75? ? ?1.7652725 24.882263? ? X76? ? ?1.7913807 25.813408? ? X77? ? ?1.8173818 23.658997? ? X78? ? ?1.8434211 24.223432? ? X79? ? ?1.8695911 23.560818? ? X80? ? ?1.8960611 28.057708? ? X81? ? ?1.9228969 26.996265? ? X82? ? ?1.9493552 26.659719? ? X83? ? ?1.9759324 22.723687? ? X84? ? ?2.0026666 30.977267? ? X85? ? ?2.0290137 29.384326? ? X86? ? ?2.0549359 24.840383? ? X87? ? ?2.0811679 26.952620? ? X88? ? ?2.1081763 29.894790? ? X89? ? ?2.1349227 25.224040? ? X90? ? ?2.1613017 27.722623
? ? >IPSLLRRCP8.5PL
? ? ? ? get6.teratons? ?pland21? ? X1? ? ? 0.5300411? 8.128827? ? X2? ? ? 0.5401701? 6.683660? ? X3? ? ? 0.5503503 12.344974? ? X4? ? ? 0.5607762 11.322411? ? X5? ? ? 0.5714146 14.250646? ? X6? ? ? 0.5825357 10.013592? ? X7? ? ? 0.5937966? 9.437394? ? X8? ? ? 0.6051673? 8.138396? ? X9? ? ? 0.6168960? 9.767765? ? X10? ? ?0.6290367? 8.166579? ? X11? ? ?0.6413864 12.307348? ? X12? ? ?0.6539184 12.623931? ? X13? ? ?0.6667360 11.182448? ? X14? ? ?0.6800060 12.585040? ? X15? ? ?0.6935350 13.408614? ? X16? ? ?0.7071757? 9.352335? ? X17? ? ?0.7211951 12.743725? ? X18? ? ?0.7356089 11.625612? ? X19? ? ?0.7502665 10.240418? ? X20? ? ?0.7650959 12.394282? ? X21? ? ?0.7800845 16.963066? ? X22? ? ?0.7953119 16.380090? ? X23? ? ?0.8107459 10.510501? ? X24? ? ?0.8260236 12.645911? ? X25? ? ?0.8414439 14.134851? ? X26? ? ?0.8572960 18.924963? ? X27? ? ?0.8732313 17.849050? ? X28? ? ?0.8892344 10.941533? ? X29? ? ?0.9057380 12.034925? ? X30? ? ?0.9223530 15.897904? ? X31? ? ?0.9391578 19.707692? ? X32? ? ?0.9563358 16.690375? ? X33? ? ?0.9738711 18.098571? ? X34? ? ?0.9916517 16.588447? ? X35? ? ?1.0096934 16.125172? ? X36? ? ?1.0279473 19.108647? ? X37? ? ?1.0463864 16.972994? ? X38? ? ?1.0653421 22.869403? ? X39? ? ?1.0842487 21.228874? ? X40? ? ?1.1035309 25.509754? ? X41? ? ?1.1230403 15.579367? ? X42? ? ?1.1426743 21.259726? ? X43? ? ?1.1626806 26.061262? ? X44? ? ?1.1833831 21.918530? ? X45? ? ?1.2045888 22.369094? ? X46? ? ?1.2262981 21.480456? ? X47? ? ?1.2481395 20.503543? ? X48? ? ?1.2703019 27.717028? ? X49? ? ?1.2929382 26.295449? ? X50? ? ?1.3157745 28.271455? ? X51? ? ?1.3390449 31.595651? ? X52? ? ?1.3626052 26.188018? ? X53? ? ?1.3863833 26.326999? ? X54? ? ?1.4102701 26.902272? ? X55? ? ?1.4343871 25.308764? ? X56? ? ?1.4584666 23.789699? ? X57? ? ?1.4831504 26.916504? ? X58? ? ?1.5080384 32.921638? ? X59? ? ?1.5331210 29.753267? ? X60? ? ?1.5582794 29.567720? ? X61? ? ?1.5832585 31.454097? ? X62? ? ?1.6085002 26.602191? ? X63? ? ?1.6339502 35.873728? ? X64? ? ?1.6594560 34.222654? ? X65? ? ?1.6851070 36.290959? ? X66? ? ?1.7109757 31.623912? ? X67? ? ?1.7368503 31.965520? ? X68? ? ?1.7626750 41.490310? ? X69? ? ?1.7883216 35.645934? ? X70? ? ?1.8141292 35.639422? ? X71? ? ?1.8405670 37.085608? ? X72? ? ?1.8672313 44.812777? ? X73? ? ?1.8939987 40.044602? ? X74? ? ?1.9208222 37.834526? ? X75? ? ?1.9478806 44.497335? ? X76? ? ?1.9750195 39.839740? ? X77? ? ?2.0024118 38.300529? ? X78? ? ?2.0302205 52.116649? ? X79? ? ?2.0581589 59.189047? ? X80? ? ?2.0861536 51.559857? ? X81? ? ?2.1141780 43.305779? ? X82? ? ?2.1421791 47.950074? ? X83? ? ?2.1703249 46.252149? ? X84? ? ?2.1985953 47.536605? ? X85? ? ?2.2266540 49.422466? ? X86? ? ?2.2547762 44.577399? ? X87? ? ?2.2827062 49.720523? ? X88? ? ?2.3102098 47.138244? ? X89? ? ?2.3379090 51.882832? ? X90? ? ?2.3656370 51.413472
Etc...
Any help with this would be greatly appreciated!
Thanks,