Relative sea level rate (RSL) estimation
BchronRSL(
BchronologyRun,
RSLmean,
RSLsd,
degree = 1,
iterations = 10000,
burn = 2000,
thin = 8
)
Output from a run of Bchronology
A vector of RSL mean estimates of the same length as the number of predictPositions given to the Bchronology
function
A vector RSL standard deviations of the same length as the number of predictPositions given to the Bchronology
function
The degree of the polynomial regression: linear=1 (default), quadratic=2, etc. Supports up to degree 5, though this will depend on the data given
The number of MCMC iterations to run
The number of starting iterations to discard
The step size of iterations to discard
An object of class BchronRSLRun with elements
The output from the run of Bchronology
The posterior samples of the regression parameters
The degree of the polynomial regression
The RSL mean values given to the function
The RSL standard deviations as given to the function
The mean of the predicted age values. Used to standardise the design matrix and avoid computational issues
This function fits an errors-in-variables regression model to relative sea level (RSL) data. An errors-in-variables regression model allows for uncertainty in the explanatory variable, here the age of sea level data point. The algorithm is more fully defined in the reference below
Andrew C. Parnell and W. Roland Gehrels (2013) 'Using chronological models in late holocene sea level reconstructions from salt marsh sediments' In: I. Shennan, B.P. Horton, and A.J. Long (eds). Handbook of Sea Level Research. Chichester: Wiley
# \donttest{
# Load in data
data(TestChronData)
data(TestRSLData)
# Run through Bchronology
RSLrun <- with(TestChronData, Bchronology(
ages = ages,
ageSds = ageSds,
positions = position,
positionThicknesses = thickness,
ids = id,
calCurves = calCurves,
predictPositions = TestRSLData$Depth
))
#> ages not given as whole numbers - rounding occurred
#> ageSds not given as whole numbers - rounding occurred
#> ages not given as whole numbers - rounding occurred
#> ageSds not given as whole numbers - rounding occurred
#> ages not given as whole numbers - rounding occurred
#> ageSds not given as whole numbers - rounding occurred
#> Running Bchronology...
#>
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#> Run completed!
# Now run through BchronRSL
RSLrun2 <- BchronRSL(RSLrun, RSLmean = TestRSLData$RSL, RSLsd = TestRSLData$Sigma, degree = 3)
#>
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# Summarise it
summary(RSLrun2)
#> Posterior Medians with 95% credible intervals...
#> Power Lower Median Upper
#> mean -0.8312 -0.6579 -0.4859
#> linear -0.7778 -0.4595 -0.1477
#> quadratic -0.1478 0.3131 0.7867
#> cubic -0.8865 -0.3762 0.0877
#> Age RSL_2.5 RSL_50 RSL_97.5
#> 1 1956.000000 -1.8036736 -1.50260400 -1.25216279
#> 2 1936.111364 -1.7556459 -1.47602472 -1.24071976
#> 3 1916.222727 -1.7056543 -1.44771459 -1.22525394
#> 4 1896.334091 -1.6675277 -1.42108034 -1.20804675
#> 5 1876.445455 -1.6338059 -1.39494779 -1.18957857
#> 6 1856.556818 -1.5935126 -1.36991668 -1.16698062
#> 7 1836.668182 -1.5630950 -1.34511903 -1.14865261
#> 8 1816.779545 -1.5323828 -1.32162309 -1.12914324
#> 9 1796.890909 -1.4997452 -1.29920209 -1.10648669
#> 10 1777.002273 -1.4760987 -1.27572777 -1.08815014
#> 11 1757.113636 -1.4515341 -1.25273812 -1.07046175
#> 12 1737.225000 -1.4267056 -1.23048622 -1.05161674
#> 13 1717.336364 -1.4050828 -1.21129788 -1.03105197
#> 14 1697.447727 -1.3835620 -1.19292074 -1.01166284
#> 15 1677.559091 -1.3630812 -1.17535380 -0.99004677
#> 16 1657.670455 -1.3429682 -1.15702154 -0.96746418
#> 17 1637.781818 -1.3266718 -1.13759524 -0.95370455
#> 18 1617.893182 -1.3083973 -1.12045984 -0.94075945
#> 19 1598.004545 -1.2939574 -1.10161156 -0.92186618
#> 20 1578.115909 -1.2816099 -1.08472900 -0.90549469
#> 21 1558.227273 -1.2621487 -1.06823865 -0.89120386
#> 22 1538.338636 -1.2465085 -1.05412497 -0.88007037
#> 23 1518.450000 -1.2285063 -1.04003376 -0.86252146
#> 24 1498.561364 -1.2137494 -1.02645458 -0.85042173
#> 25 1478.672727 -1.1990293 -1.01278885 -0.84116163
#> 26 1458.784091 -1.1806451 -0.99929592 -0.82660587
#> 27 1438.895455 -1.1615166 -0.98587658 -0.81287782
#> 28 1419.006818 -1.1504033 -0.97358169 -0.80107132
#> 29 1399.118182 -1.1363702 -0.96144469 -0.78960248
#> 30 1379.229545 -1.1205081 -0.94933942 -0.78238990
#> 31 1359.340909 -1.1096544 -0.93819866 -0.77387987
#> 32 1339.452273 -1.0961770 -0.92708978 -0.76773203
#> 33 1319.563636 -1.0825131 -0.91673806 -0.75852289
#> 34 1299.675000 -1.0684370 -0.90658000 -0.74986437
#> 35 1279.786364 -1.0560002 -0.89681221 -0.74474386
#> 36 1259.897727 -1.0494471 -0.88692092 -0.74067880
#> 37 1240.009091 -1.0351117 -0.87766397 -0.73512341
#> 38 1220.120455 -1.0219713 -0.86931236 -0.72805392
#> 39 1200.231818 -1.0134990 -0.85888528 -0.72045728
#> 40 1180.343182 -1.0051541 -0.85090317 -0.71242913
#> 41 1160.454545 -0.9947714 -0.84215023 -0.70666050
#> 42 1140.565909 -0.9820526 -0.83385301 -0.69864792
#> 43 1120.677273 -0.9740254 -0.82639858 -0.69530807
#> 44 1100.788636 -0.9660214 -0.81786559 -0.68990870
#> 45 1080.900000 -0.9559408 -0.80980465 -0.68451756
#> 46 1061.011364 -0.9481109 -0.80228551 -0.67635652
#> 47 1041.122727 -0.9363558 -0.79573582 -0.66807457
#> 48 1021.234091 -0.9289819 -0.78901344 -0.65894688
#> 49 1001.345455 -0.9207791 -0.78104275 -0.65407145
#> 50 981.456818 -0.9146988 -0.77418375 -0.64510964
#> 51 961.568182 -0.9063048 -0.76786874 -0.63677160
#> 52 941.679545 -0.9003199 -0.76016323 -0.62892899
#> 53 921.790909 -0.8919792 -0.75258455 -0.61744758
#> 54 901.902273 -0.8869427 -0.74436152 -0.60630123
#> 55 882.013636 -0.8824253 -0.73624354 -0.59939275
#> 56 862.125000 -0.8754553 -0.72816195 -0.58840009
#> 57 842.236364 -0.8715165 -0.72003105 -0.57952856
#> 58 822.347727 -0.8595411 -0.71215078 -0.56820259
#> 59 802.459091 -0.8564357 -0.70611361 -0.55836018
#> 60 782.570455 -0.8538964 -0.69868942 -0.54594874
#> 61 762.681818 -0.8477299 -0.68933014 -0.52988639
#> 62 742.793182 -0.8449020 -0.68124612 -0.51679045
#> 63 722.904545 -0.8380421 -0.67273418 -0.50410703
#> 64 703.015909 -0.8337394 -0.66383095 -0.49273423
#> 65 683.127273 -0.8293988 -0.65401049 -0.48069285
#> 66 663.238636 -0.8232672 -0.64430150 -0.46907434
#> 67 643.350000 -0.8145400 -0.63388235 -0.45723126
#> 68 623.461364 -0.8052817 -0.62412110 -0.44720250
#> 69 603.572727 -0.7980852 -0.61398857 -0.43633836
#> 70 583.684091 -0.7890258 -0.60330362 -0.42407310
#> 71 563.795455 -0.7797042 -0.59263293 -0.41418780
#> 72 543.906818 -0.7706194 -0.58071990 -0.40349936
#> 73 524.018182 -0.7602079 -0.56872751 -0.39317196
#> 74 504.129545 -0.7488681 -0.55776812 -0.38089143
#> 75 484.240909 -0.7344616 -0.54563082 -0.36746641
#> 76 464.352273 -0.7184003 -0.53282718 -0.35433712
#> 77 444.463636 -0.7029787 -0.51795577 -0.34223253
#> 78 424.575000 -0.6869022 -0.50350040 -0.33135589
#> 79 404.686364 -0.6710036 -0.48905182 -0.32037449
#> 80 384.797727 -0.6563457 -0.47473714 -0.30928245
#> 81 364.909091 -0.6394329 -0.45908873 -0.29714978
#> 82 345.020455 -0.6158937 -0.44362105 -0.28289712
#> 83 325.131818 -0.5983914 -0.42739239 -0.27138473
#> 84 305.243182 -0.5799973 -0.41026519 -0.26058179
#> 85 285.354545 -0.5579820 -0.39337648 -0.24537076
#> 86 265.465909 -0.5327128 -0.37480191 -0.23073305
#> 87 245.577273 -0.5072470 -0.35643195 -0.21656536
#> 88 225.688636 -0.4812166 -0.33606213 -0.20118656
#> 89 205.800000 -0.4532858 -0.31655435 -0.18663565
#> 90 185.911364 -0.4260392 -0.29566908 -0.17146789
#> 91 166.022727 -0.3988338 -0.27384805 -0.15144894
#> 92 146.134091 -0.3712441 -0.25196163 -0.13625069
#> 93 126.245455 -0.3469415 -0.23025846 -0.11766079
#> 94 106.356818 -0.3215834 -0.20744046 -0.09693170
#> 95 86.468182 -0.2928731 -0.18180436 -0.07733801
#> 96 66.579545 -0.2669212 -0.15648784 -0.05139012
#> 97 46.690909 -0.2449200 -0.13194475 -0.01965832
#> 98 26.802273 -0.2250010 -0.10637602 0.01479978
#> 99 6.913636 -0.2090760 -0.07813643 0.05439399
#> 100 -12.975000 -0.1927903 -0.04812656 0.09682347
#> Age RSL_rate_2.5 RSL_rate_50 RSL_rate_97.5
#> 1 1956.000000 0.402750888 1.4380685 2.7324577
#> 2 1936.111364 0.405657378 1.3953101 2.6332725
#> 3 1916.222727 0.408723131 1.3568259 2.5259171
#> 4 1896.334091 0.413287236 1.3186393 2.4332780
#> 5 1876.445455 0.415961295 1.2794244 2.3424502
#> 6 1856.556818 0.427716011 1.2377065 2.2535147
#> 7 1836.668182 0.430091916 1.2005259 2.1663904
#> 8 1816.779545 0.436888486 1.1646959 2.0800483
#> 9 1796.890909 0.443871234 1.1280053 1.9944440
#> 10 1777.002273 0.454746610 1.0916530 1.9108723
#> 11 1757.113636 0.470996440 1.0581159 1.8290891
#> 12 1737.225000 0.475797706 1.0220744 1.7514715
#> 13 1717.336364 0.470652127 0.9892602 1.6776700
#> 14 1697.447727 0.471427217 0.9568134 1.6084295
#> 15 1677.559091 0.465226190 0.9238636 1.5360176
#> 16 1657.670455 0.458480541 0.8953063 1.4654445
#> 17 1637.781818 0.452277985 0.8674943 1.3943458
#> 18 1617.893182 0.454685185 0.8389779 1.3258874
#> 19 1598.004545 0.442766787 0.8121560 1.2615872
#> 20 1578.115909 0.435090009 0.7857876 1.2077775
#> 21 1558.227273 0.427796631 0.7615013 1.1569912
#> 22 1538.338636 0.411055063 0.7348155 1.1157552
#> 23 1518.450000 0.394429063 0.7101014 1.0748590
#> 24 1498.561364 0.374482210 0.6905867 1.0412744
#> 25 1478.672727 0.362265602 0.6690981 0.9948238
#> 26 1458.784091 0.350082731 0.6429821 0.9692869
#> 27 1438.895455 0.332084451 0.6255232 0.9465575
#> 28 1419.006818 0.314101514 0.6059742 0.9258154
#> 29 1399.118182 0.292158898 0.5897367 0.9033872
#> 30 1379.229545 0.265505188 0.5699963 0.8940844
#> 31 1359.340909 0.236330951 0.5527811 0.8769820
#> 32 1339.452273 0.219700243 0.5323060 0.8637156
#> 33 1319.563636 0.192473202 0.5171497 0.8511711
#> 34 1299.675000 0.168793863 0.5041730 0.8385973
#> 35 1279.786364 0.148789576 0.4900413 0.8247023
#> 36 1259.897727 0.129482426 0.4764323 0.8144459
#> 37 1240.009091 0.112072910 0.4614285 0.8163265
#> 38 1220.120455 0.087005000 0.4482778 0.8107683
#> 39 1200.231818 0.067052743 0.4381886 0.8023251
#> 40 1180.343182 0.047440742 0.4289908 0.7974021
#> 41 1160.454545 0.031391817 0.4193156 0.7937826
#> 42 1140.565909 0.016506956 0.4132341 0.7956122
#> 43 1120.677273 0.002716240 0.4043745 0.7929188
#> 44 1100.788636 -0.012684687 0.3972747 0.7885326
#> 45 1080.900000 -0.022707595 0.3918242 0.7862187
#> 46 1061.011364 -0.032174023 0.3864872 0.7801441
#> 47 1041.122727 -0.032565088 0.3819764 0.7773182
#> 48 1021.234091 -0.040364843 0.3815050 0.7773213
#> 49 1001.345455 -0.041839493 0.3793486 0.7735483
#> 50 981.456818 -0.042427641 0.3786798 0.7719160
#> 51 961.568182 -0.040992980 0.3787205 0.7757073
#> 52 941.679545 -0.040911026 0.3790360 0.7778294
#> 53 921.790909 -0.032706322 0.3798708 0.7773120
#> 54 901.902273 -0.027305251 0.3831243 0.7745862
#> 55 882.013636 -0.020368946 0.3869368 0.7663545
#> 56 862.125000 -0.005088542 0.3891886 0.7632407
#> 57 842.236364 0.009611830 0.3933050 0.7658508
#> 58 822.347727 0.017587527 0.3987294 0.7602823
#> 59 802.459091 0.031470022 0.4057973 0.7672717
#> 60 782.570455 0.048167784 0.4120263 0.7645398
#> 61 762.681818 0.068541901 0.4195324 0.7660238
#> 62 742.793182 0.088336184 0.4312021 0.7657355
#> 63 722.904545 0.110326741 0.4425296 0.7762669
#> 64 703.015909 0.134542408 0.4538858 0.7801340
#> 65 683.127273 0.161018005 0.4657147 0.7759823
#> 66 663.238636 0.189637991 0.4820390 0.7717290
#> 67 643.350000 0.221856392 0.4950589 0.7762717
#> 68 623.461364 0.247142450 0.5111254 0.7774120
#> 69 603.572727 0.272221470 0.5235115 0.7829993
#> 70 583.684091 0.297114109 0.5412542 0.7846777
#> 71 563.795455 0.334076805 0.5590309 0.7913973
#> 72 543.906818 0.355543729 0.5777675 0.8064734
#> 73 524.018182 0.383282104 0.5965315 0.8193558
#> 74 504.129545 0.405890871 0.6156350 0.8358226
#> 75 484.240909 0.432864279 0.6368730 0.8599072
#> 76 464.352273 0.457575709 0.6590579 0.8887440
#> 77 444.463636 0.469597563 0.6818418 0.9180242
#> 78 424.575000 0.478451156 0.7059256 0.9546628
#> 79 404.686364 0.490964167 0.7309619 0.9912194
#> 80 384.797727 0.495888370 0.7599122 1.0315777
#> 81 364.909091 0.490612725 0.7857276 1.0746569
#> 82 345.020455 0.508673719 0.8094808 1.1305968
#> 83 325.131818 0.490093272 0.8421728 1.1957835
#> 84 305.243182 0.492977388 0.8737566 1.2545488
#> 85 285.354545 0.492278935 0.9027287 1.3154709
#> 86 265.465909 0.483337617 0.9317276 1.3788827
#> 87 245.577273 0.473627238 0.9641029 1.4443447
#> 88 225.688636 0.466993435 0.9964051 1.5130257
#> 89 205.800000 0.468886127 1.0289292 1.5923249
#> 90 185.911364 0.460826511 1.0629890 1.6560581
#> 91 166.022727 0.451000687 1.0988001 1.7345373
#> 92 146.134091 0.445221504 1.1366794 1.8151148
#> 93 126.245455 0.441855554 1.1767943 1.9089876
#> 94 106.356818 0.433415053 1.2149198 1.9934682
#> 95 86.468182 0.413568836 1.2543069 2.0829127
#> 96 66.579545 0.411844273 1.2934464 2.1716075
#> 97 46.690909 0.397136704 1.3355517 2.2578115
#> 98 26.802273 0.380127053 1.3777284 2.3453865
#> 99 6.913636 0.368511555 1.4195652 2.4388328
#> 100 -12.975000 0.356836335 1.4634826 2.5324367
#> Age RSL_accel_2.5 RSL_accel_50 RSL_accel_97.5
#> 1 1956.000000 -5.2908248 -2.21235824 0.5420679
#> 2 1936.111364 -5.1850037 -2.17002426 0.5283138
#> 3 1916.222727 -5.0791825 -2.12502808 0.5145597
#> 4 1896.334091 -4.9733614 -2.08131404 0.5008055
#> 5 1876.445455 -4.8675403 -2.03415189 0.4870514
#> 6 1856.556818 -4.7642831 -1.98634784 0.4732972
#> 7 1836.668182 -4.6642825 -1.93910545 0.4595431
#> 8 1816.779545 -4.5643941 -1.89098958 0.4457890
#> 9 1796.890909 -4.4589286 -1.84366030 0.4341583
#> 10 1777.002273 -4.3497198 -1.79591535 0.4313297
#> 11 1757.113636 -4.2404774 -1.75104903 0.4285010
#> 12 1737.225000 -4.1313220 -1.70659783 0.4256724
#> 13 1717.336364 -4.0283841 -1.66437385 0.4228438
#> 14 1697.447727 -3.9250672 -1.62195588 0.4200152
#> 15 1677.559091 -3.8225884 -1.57033299 0.4171865
#> 16 1657.670455 -3.7139163 -1.52520738 0.4129682
#> 17 1637.781818 -3.6005714 -1.48206187 0.3947856
#> 18 1617.893182 -3.4930691 -1.43387574 0.3899574
#> 19 1598.004545 -3.3953708 -1.38608304 0.3804309
#> 20 1578.115909 -3.3055420 -1.34393997 0.3665383
#> 21 1558.227273 -3.1982984 -1.29724111 0.3425442
#> 22 1538.338636 -3.0974995 -1.25085649 0.3256466
#> 23 1518.450000 -3.0041612 -1.20461914 0.3130308
#> 24 1498.561364 -2.9029069 -1.16228729 0.2951909
#> 25 1478.672727 -2.8006985 -1.11809525 0.2773348
#> 26 1458.784091 -2.7018082 -1.07364717 0.2662974
#> 27 1438.895455 -2.6083010 -1.02679826 0.2589019
#> 28 1419.006818 -2.5080155 -0.98174785 0.2638182
#> 29 1399.118182 -2.3943995 -0.94024961 0.2577285
#> 30 1379.229545 -2.2961473 -0.89852243 0.2513295
#> 31 1359.340909 -2.1875275 -0.85361119 0.2499753
#> 32 1339.452273 -2.0742498 -0.80613099 0.2586458
#> 33 1319.563636 -1.9799444 -0.76429355 0.2530652
#> 34 1299.675000 -1.8809061 -0.72532498 0.2425230
#> 35 1279.786364 -1.7787080 -0.67235959 0.2417021
#> 36 1259.897727 -1.6747378 -0.63214354 0.2367564
#> 37 1240.009091 -1.5741997 -0.59338640 0.2525702
#> 38 1220.120455 -1.4814193 -0.55321120 0.2682161
#> 39 1200.231818 -1.3860141 -0.50675461 0.2547567
#> 40 1180.343182 -1.2929269 -0.46376905 0.2336956
#> 41 1160.454545 -1.2023331 -0.41934514 0.2307267
#> 42 1140.565909 -1.1107487 -0.37941691 0.2506890
#> 43 1120.677273 -1.0223477 -0.32631258 0.2536438
#> 44 1100.788636 -0.9301196 -0.29005577 0.2520736
#> 45 1080.900000 -0.8524455 -0.24886057 0.2765812
#> 46 1061.011364 -0.7669886 -0.20434092 0.2928207
#> 47 1041.122727 -0.6765624 -0.16315640 0.3222235
#> 48 1021.234091 -0.6228709 -0.11457857 0.3579591
#> 49 1001.345455 -0.5511985 -0.07595005 0.3932244
#> 50 981.456818 -0.4815112 -0.02703327 0.4316773
#> 51 961.568182 -0.4372059 0.01760296 0.4744578
#> 52 941.679545 -0.4158017 0.05707949 0.5247133
#> 53 921.790909 -0.3791185 0.09691811 0.5766326
#> 54 901.902273 -0.3465637 0.13857484 0.6405361
#> 55 882.013636 -0.3155000 0.18625210 0.7064286
#> 56 862.125000 -0.3177890 0.22754472 0.7774043
#> 57 842.236364 -0.3179365 0.27564723 0.8487656
#> 58 822.347727 -0.3115434 0.31305204 0.9395310
#> 59 802.459091 -0.3072050 0.36367229 1.0193068
#> 60 782.570455 -0.3059813 0.41606948 1.1142727
#> 61 762.681818 -0.3067069 0.46569441 1.2220345
#> 62 742.793182 -0.3026963 0.50996230 1.3154285
#> 63 722.904545 -0.3126772 0.55522662 1.4123742
#> 64 703.015909 -0.3022837 0.60110569 1.5203230
#> 65 683.127273 -0.2920453 0.64396280 1.6092574
#> 66 663.238636 -0.3080132 0.68639063 1.6876292
#> 67 643.350000 -0.3190743 0.73125618 1.7997242
#> 68 623.461364 -0.3341736 0.77211495 1.9138215
#> 69 603.572727 -0.3377805 0.81408895 2.0073454
#> 70 583.684091 -0.3604525 0.86111493 2.0963499
#> 71 563.795455 -0.3817217 0.90473349 2.1765200
#> 72 543.906818 -0.3724148 0.95039793 2.2739184
#> 73 524.018182 -0.3724986 0.99572231 2.3654738
#> 74 504.129545 -0.3974993 1.04181381 2.4609381
#> 75 484.240909 -0.4222890 1.08310311 2.5615740
#> 76 464.352273 -0.4470053 1.12739620 2.6622100
#> 77 444.463636 -0.4717215 1.16814840 2.7631509
#> 78 424.575000 -0.4964378 1.20823535 2.8700544
#> 79 404.686364 -0.5100574 1.25580574 2.9769578
#> 80 384.797727 -0.5199826 1.30237868 3.0838296
#> 81 364.909091 -0.5285832 1.34177647 3.1902945
#> 82 345.020455 -0.5371837 1.38799819 3.2973649
#> 83 325.131818 -0.5457492 1.43207684 3.4045716
#> 84 305.243182 -0.5542857 1.47684589 3.5116241
#> 85 285.354545 -0.5694933 1.52175838 3.6188933
#> 86 265.465909 -0.5802934 1.56806239 3.7260811
#> 87 245.577273 -0.5891016 1.61238713 3.8311833
#> 88 225.688636 -0.5979098 1.65890142 3.9264144
#> 89 205.800000 -0.6066443 1.70580401 4.0372636
#> 90 185.911364 -0.6162757 1.75199468 4.1517738
#> 91 166.022727 -0.6344693 1.79944736 4.2615034
#> 92 146.134091 -0.6418580 1.84622968 4.3586287
#> 93 126.245455 -0.6490832 1.89098764 4.4521822
#> 94 106.356818 -0.6574193 1.93622045 4.5457779
#> 95 86.468182 -0.6723823 1.98312037 4.6515661
#> 96 66.579545 -0.6873453 2.03180151 4.7573543
#> 97 46.690909 -0.7023083 2.07930978 4.8631425
#> 98 26.802273 -0.7172713 2.12582272 4.9689307
#> 99 6.913636 -0.7286941 2.16751526 5.0747189
#> 100 -12.975000 -0.7393445 2.21189872 5.1805072
# Plot it
plot(RSLrun2)
# }