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library (dplyr)
##
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
##
## filter, lag
## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union
library (tidyr)
library (ggplot2)
library (leaflet)
library (gsw)
library (matrixStats)
##
## Attaching package: 'matrixStats'
## The following object is masked from 'package:dplyr':
##
## count
#library (ggOceanMaps)
#library (ggOceanMapsData)
install.packages(“dplyr”) install.packages(“tidyr”) install.packages(“leaflet”) install.packages(“knitr”) install.packages(“rmarkdown”) install.packages(“gsw”) install.packages(“matrixStats”) intall.packages("ggspatial)
##shell("cd C:/Users/ingri/MAST467/Data/output.dat")
shell("C:/Users/ingri/MAST467/Data/NASA.cmd", translate=TRUE)
Omg<-read.csv("C:/Users/ingri/MAST467/Data/output.dat",sep=" ")
###Plotting Temp and Sal ###From Dr.Muenchow's code
ggplot(Omg,mapping=aes(x=sal,y=tem,group=cast,color=dep)) +
geom_point() +
xlim(c(25,35)) +
ylim(c(-2,8)) +
xlab("Salinity, psu") +
ylab("Temperature, C") +
scale_color_viridis_c(guide=guide_colorbar(barheight=15)) +
facet_wrap(~cast)
###Depth and Temp ###From Dr.Muenchow's code
ggplot(Omg,aes(x=dep,y=tem,group=cast)) +
geom_path() +
ylim(c(-1.5,6.5)) +
xlim(c(500,0)) +
ylab("Temperature, C") +
xlab("Depth, m") +
coord_flip(expand=FALSE) +
facet_wrap(~cast)
## Warning: Removed 3735 row(s) containing missing values (geom_path).
###Depth and Sal ###From Dr.Muenchow's code
ggplot(Omg,mapping=aes(x=dep,y=sal,group=cast)) +
geom_line() +
ylim(c(30,35)) +
xlim(c(500,0)) +
ylab("Salinity, psu") +
coord_flip(expand=FALSE) +
facet_wrap(~cast)
## Warning: Removed 3097 row(s) containing missing values (geom_path).
###Making data fram for 1 cast
Omg.df = data.frame(Omg$lon, Omg$lat, Omg$dep, Omg$tem, Omg$sal, Omg$cast)
###rename columns
colnames(Omg.df) = c("lon", "lat", "dep", "tem", "sal", "cast")
###Specifying cast number
C106 = Omg.df[Omg.df$cast==106,]
###Using one cast (106) to convert in-situ temperature, salinity, and depth to pressure, absolute salinity, and potential temperature
#Pressure
p = gsw_p_from_z(-C106$dep, C106$lat)
#Absolute Salinity
SA = gsw_SA_from_SP(C106$sal, p, C106$lat, C106$lon)
#Potential Temperature
pt = gsw_pt_from_t(SA, C106$tem, p, 0)
####Using cast 106 to estimate potential denisty at both zero and 1000-dbar pressure as well as the freezing point
#Conservative Temperature
CT= gsw_CT_from_t(SA, C106$tem, p)
#Potential Density to Zero Pressure
r0 = gsw_sigma0(SA,CT)
#Potential Density to 1000-m Pressure
r1 = gsw_sigma1(SA,CT)
#Freezing Point
tf = gsw_CT_freezing(SA, p, saturation_fraction = 1)
dat= data.frame(p, SA, pt, CT, r0, r1, tf, C106$tem)
###Plotting profile to compare in-situ with potential temperature
ggplot(dat, aes(x=p)) +
geom_line(aes(y = C106$tem), color = "darkred") +
geom_line(aes(y = pt), color="steelblue", linetype="twodash")+
coord_flip(expand=FALSE)+
ylim(c(3,6.5)) +
xlim(c(350,0)) +
ylab("Temperature, C") +
xlab("Pressure, p")
###Plotting profile to compare absolute salinity with pressure
ggplot(dat, aes(x=p)) +
geom_line(aes(y = SA), color = "darkred") +
#geom_line(aes(y = r1), color="steelblue", linetype="twodash")+
coord_flip(expand=FALSE)+
ylim(c(31.5,35.5)) +
xlim(c(325,0)) +
ylab("Absolute Salinity, SA") +
xlab("Pressure, p")
###Plotting profile to compare potential density with pressure
ggplot(dat, aes(x=p)) +
#geom_line(aes(y = SA), color = "darkred") +
geom_line(aes(y = r1), color="steelblue", linetype="twodash")+
coord_flip(expand=FALSE)+
ylim(c(29,32.5)) +
xlim(c(325,0)) +
ylab("Potential density to 1000-m pressure") +
xlab("Pressure, p")
###Plotting profile to compare potential density with absolute salinity
ggplot(dat, aes(x=r1)) +
geom_line(aes(y = SA), color = "darkred") +
#geom_line(aes(y = r1), color="steelblue", linetype="twodash")+
coord_flip(expand=FALSE)+
ylim(c(31.5,35.5)) +
xlim(c(29,32.5)) +
ylab("Absolute Salinity, SA") +
xlab("Potential density to 1000-m pressure")
p_2 = gsw_p_from_z(-Omg$dep, Omg$lat)
SA_2 = gsw_SA_from_SP(Omg$sal, p_2, Omg$lat, Omg$lon)
pt_2 = gsw_pt_from_t(SA_2, Omg$tem, p_2, 0)
CT_2= gsw_CT_from_t(SA_2, Omg$tem, p_2)
dat1<-data.frame(Omg$cast, Omg$lon, Omg$lat, Omg$dep, Omg$sal, Omg$tem, p_2, SA_2, pt_2, CT_2)
colnames(dat1) = c("cast", "lon", "lat", "dep", "sal", "tem", "p_2", "SA_2", "pt_2", "CT_2")
###Many steps are this chunk is borrowed from Sam's code
###Defining empty vectors/variables/etc. BEFORE for loop begins...
Dmax = 0
fresh = 0
y= NULL #y is an empty dataframe that we will store the output of each iteration for
###Looping through each cast to define bin averaged variables
for (i in 106:147) #i refers to cast
{data<-dplyr::filter(dat1, cast==i)
#print(i)
last=length(data[,1])
#print(last)
Depth<-as.numeric(data[,4])
Temp<-as.numeric(data[,6])
Salt<-as.numeric(data[,5])
Long<-as.numeric(data[,2])
Lat<-as.numeric(data[,3])
p_2<-as.numeric(data[,7])
SA_2<-as.numeric(data[,8])
pt_2<-as.numeric(data[,9])
CT_2<-as.numeric(data[,10])
#tail function goes to last value above. integer means it has no decimals vs. numeric
maxDepth<-as.integer(tail(Depth,1))
#print(maxDepth)
Dmax = maxDepth
#Beginning the conditional statement for loop
if (last>=1)
{
#Calculating and defining bin averages
binDepth<-seq(2,maxDepth,1)#starts at 2m, goes to maxdepth, sorts by 1m
binSalt<-binMeans(Salt, x=Depth, bx=binDepth, na.rm=TRUE)
binTemp<-binMeans(Temp, x=Depth, bx=binDepth, na.rm=TRUE)
binp_2<-binMeans(p_2, x=Depth, bx=binDepth, na.rm=TRUE)
binSA_2<-binMeans(SA_2, x=Depth, bx=binDepth, na.rm=TRUE)
binpt_2<-binMeans(pt_2, x=Depth, bx=binDepth, na.rm=TRUE)
binCT_2<-binMeans(CT_2, x=Depth, bx=binDepth, na.rm=TRUE)
###makes binDepth equal length to binSalt, binTemp, etc. borrowed from michael's code
binDepth = head(binDepth,-1)
###calculating the amount of freshwater at the surface. borrowed from sam's code.
s_ref = 34.8
s_ref_vec = c(rep(s_ref, length(binDepth)))
fresh<-as.integer(sum(((s_ref_vec-binSalt)/s_ref_vec),na.rm=TRUE),digits=4)
#print(fresh)
###creating dataframe for binvalues, adjusting their lengths so they all match
n=maxDepth-2
###calculating first stability max in terms of bin averages values
N2 = gsw_Nsquared(binSA_2, binCT_2, binp_2, Lat)
print(N2)
###creating new datafram with binned data and Nsquared
dat2<- data.frame(binDepth[1:n], binSalt[1:n], binTemp[1:n], Long[1:n], Lat[1:n], binp_2[1:n], binSA_2[1:n], binpt_2[1:n], binCT_2[1:n], N2$N2[1:n])
###some binDepths don't exist and produce NAs in date 2. returns dat2 without rows with NA
dat2 = na.omit(dat2)
###define last as the number of rows in dat2
last = length(dat2[,1])
###use new letter for index (we already used "i"). we are ignoring the first 50m of the profile; we are looking for the (deep) atlantic layer
j=50
###starting a new conditional within the previous one
###(dat2[,10]) is N2
while(dat2[j,10] >= dat2[j-1,10])
{
###sorts through each row (binDepth). looking for max N2 (below 50m)
j=j+1
}###end of "while" statement
###setting Tmax to an arbitrary low number
Tmax= -99
###beginning another for loop (still within the for loop and if-statement)
###need new index "k"
for(k in j:last)
{
###looking at everything below Tmax
if(dat2[k,8] >= Tmax)
{Tmax = dat2[k,8]
D_Tmax = dat2[k,1]
SA_Tmax = dat2[k,7]
Lat_Tmax = dat2[k,5]
Long_Tmax = dat2[k,4]
###creating a new dataframe for this output
dat3 <- data.frame(Tmax, D_Tmax, SA_Tmax, Lat_Tmax, Long_Tmax, i)
}###end if-statment
}###end (second) for-loop
###combining output for each for-loop iteration. makes dataframe with one row per cast
y<- rbind.data.frame(y,dat3)
}###end if-statement
}###end (first) for-loop
## $N2
## [1] 1.050313e-03 1.265165e-04 4.544462e-05 2.407373e-05 5.850170e-05
## [6] 5.659663e-05 3.027574e-04 1.787079e-04 2.927501e-05 4.029799e-05
## [11] 3.311016e-04 6.580798e-04 5.364462e-04 6.614056e-04 7.174908e-04
## [16] 2.937156e-03 1.312093e-03 2.200476e-04 2.259878e-03 1.413743e-03
## [21] 5.726767e-04 2.455539e-04 4.884196e-05 1.037534e-04 1.281349e-04
## [26] 1.792261e-04 1.897733e-04 1.133419e-04 7.314414e-05 4.211281e-05
## [31] 7.265430e-05 3.812395e-05 3.498945e-05 1.021670e-04 9.917396e-05
## [36] 4.673324e-05 1.303395e-04 2.861990e-04 7.505511e-05 1.384386e-04
## [41] 2.581660e-04 3.120009e-04 2.542992e-04 3.360786e-04 5.392472e-04
## [46] 6.486608e-05 1.077829e-04 -2.109378e-06 4.757724e-05 6.616747e-05
## [51] -3.250517e-05 5.791594e-05 3.543294e-05 1.040269e-04 6.667830e-05
## [56] 6.422060e-05 -1.464992e-05 9.835467e-05 -1.685010e-05 3.532570e-05
## [61] 8.594229e-05 1.721135e-04 4.090546e-05 1.463214e-04 7.553812e-05
## [66] 3.099341e-05 1.273738e-04 -3.542414e-05 7.698896e-05 4.214045e-05
## [71] 2.502679e-06 6.578865e-05 7.668770e-05 4.023524e-05 1.531465e-04
## [76] 3.395960e-05 -6.172005e-05 8.447087e-05 -2.271160e-05 9.364475e-05
## [81] 6.568732e-05 4.824192e-05 -6.904474e-06 7.347150e-06 7.137543e-07
## [86] 4.647732e-06 3.836884e-05 -8.637637e-06 -3.540055e-05 8.107680e-05
## [91] 1.678996e-05 1.862319e-05 2.995854e-05 1.391044e-05 1.259498e-04
## [96] -5.815024e-05 5.015705e-05 9.836164e-05 5.536878e-07 5.450758e-06
## [101] 1.535086e-05 1.614606e-04 1.671998e-04 -5.622533e-05 5.842307e-05
## [106] 2.117994e-05 3.237723e-05 2.310838e-05 9.974043e-06 2.857985e-05
## [111] 8.001282e-05 9.404269e-05 -3.638600e-05 2.758775e-05 1.024120e-05
## [116] -1.051797e-05 9.522069e-05 4.112247e-05 5.378210e-05 3.552015e-05
## [121] 6.360164e-05 -6.531924e-05 -1.228559e-05 5.382862e-05 7.733894e-05
## [126] 6.533580e-05 -1.425810e-05 -2.343933e-05 4.197219e-05 1.189830e-05
## [131] 7.334340e-05 -1.357644e-06 1.142744e-05 5.796138e-05 1.956572e-05
## [136] -3.016981e-05 4.054656e-05 -3.341357e-06 1.462446e-04 -4.342276e-05
## [141] 4.724423e-05 4.046797e-05 -1.413800e-05 7.635029e-05 -9.206888e-05
## [146] 2.705138e-05 1.273728e-05 1.934697e-05 2.769845e-05 1.624699e-07
## [151] 6.921290e-05 -1.587986e-06 2.529908e-05 -4.821402e-05 1.015310e-04
## [156] 2.540679e-05 8.166597e-05 -3.349937e-05 3.262919e-06 2.570988e-05
## [161] 1.626836e-07 1.468583e-05 3.312667e-05 1.448356e-05 1.630743e-07
## [166] 4.606760e-06 7.038966e-05 -5.280871e-06 8.695855e-05 -8.584023e-06
## [171] -2.198987e-05 8.336732e-05 7.950116e-05 -3.165808e-05 -2.404121e-05
## [176] 5.538350e-05 7.549588e-05 -2.950285e-05 -3.939999e-05 1.238941e-04
## [181] -4.998387e-05 2.068339e-05 1.756540e-07 1.290395e-05 2.987703e-05
## [186] -3.831873e-05 -1.577068e-05 5.926887e-05 5.697262e-05 5.374303e-05
## [191] 7.939776e-05 1.007827e-05 1.338820e-04 -3.009369e-05 1.039079e-04
## [196] -3.595508e-05 2.583018e-05 8.020301e-06 1.414590e-04 3.566189e-06
## [201] 6.020458e-06 4.304796e-05 2.876013e-05 4.303835e-05 1.725659e-05
## [206] 1.934856e-07 -1.712461e-05 3.554093e-05 1.168793e-05 2.891781e-05
## [211] 3.632976e-06 2.422710e-05 -3.394197e-05 1.726345e-05 -2.247565e-05
## [216] 6.439741e-05 1.903717e-05 -4.146600e-05 7.117618e-05 1.013529e-05
## [221] -1.114934e-05 -5.914691e-06 -3.137075e-05 3.283555e-05 3.002678e-05
## [226] 1.487152e-06 1.599436e-06 1.083597e-05 1.770854e-05 1.455178e-04
## [231] 6.290752e-05 1.728022e-05 -6.530232e-05 5.131633e-06 9.689884e-05
## [236] 3.136325e-05 1.014800e-05 9.645318e-05 -2.578438e-05 -2.623915e-06
## [241] 7.719272e-05 1.164068e-05 2.921077e-05 -1.920500e-05 1.015999e-05
## [246] 1.969443e-07 2.442039e-05 2.367221e-05 -1.115926e-05 3.007470e-05
## [251] 1.716352e-07 1.716724e-07 8.765947e-05 -2.312668e-06 4.381229e-06
## [256] -3.403874e-05 5.286013e-05 8.070333e-05 -1.683495e-05 7.995968e-05
## [261] 1.014542e-05 4.006914e-05 7.316167e-06 -8.358556e-06 1.716077e-07
## [266] 5.151862e-05 -6.829152e-05 4.552984e-05 2.367446e-05 -8.387928e-06
## [271] -2.710124e-06 2.159350e-05 1.100169e-05 -3.223537e-05 -3.407376e-05
## [276] 6.297537e-05 4.572320e-05 -6.170485e-06 1.018046e-05 -9.545147e-05
## [281] 2.015332e-05 7.880824e-06 1.913735e-06 4.446954e-06 3.443284e-05
## [286] -3.551903e-05 1.796255e-06 -1.449735e-06 1.303608e-05 -1.258932e-06
## [291] -2.242248e-05 3.764685e-05 -2.409847e-05 -1.550129e-05 2.615248e-05
## [296] -4.199384e-06 4.732837e-05 -3.699131e-05 1.729713e-05 -1.880614e-05
## [301] 9.636489e-06 1.552836e-07 2.017426e-05 4.852013e-05 1.929170e-06
## [306] 2.448812e-05 -5.555881e-05
##
## $p_mid
## [1] 3.013411 4.017074 5.020679 6.024228 7.027720 8.031161
## [7] 9.062406 10.121451 11.152579 12.155782 13.158917 14.162000
## [13] 15.165027 16.167997 17.170905 18.173761 19.176560 20.179298
## [19] 21.181967 22.184595 23.187168 24.189672 25.219972 26.278045
## [25] 27.308225 28.310497 29.312706 30.314864 31.316965 32.319010
## [31] 33.320997 34.322928 35.324801 36.326601 37.328344 38.330059
## [37] 39.359531 40.416756 41.446094 42.447553 43.448956 44.450296
## [43] 45.451590 46.452822 47.454003 48.455127 49.456188 50.457181
## [49] 51.485904 52.542406 53.571048 54.571809 55.572524 56.573177
## [55] 57.573773 58.574311 59.574788 60.575207 61.575570 62.575876
## [61] 63.603908 64.659664 65.687585 66.687664 67.687664 68.687612
## [67] 69.687509 70.687349 71.687137 72.686869 73.686538 74.713910
## [73] 75.768988 76.796244 77.795681 78.795055 79.794361 80.793627
## [79] 81.792836 82.791971 83.791061 84.817841 85.872308 86.898966
## [85] 87.897823 88.896611 89.895343 90.894024 91.892642 92.891209
## [91] 93.917440 94.971370 95.997483 96.995794 97.994077 98.992292
## [97] 99.990444 100.988534 101.986578 103.012282 104.065641 105.091220
## [103] 106.089020 107.086769 108.084455 109.082095 110.079684 111.077183
## [109] 112.102330 113.155140 114.180182 115.177465 116.174690 117.171853
## [115] 118.168960 119.166009 120.190695 121.243007 122.267569 123.264375
## [121] 124.261106 125.257808 126.254476 127.251065 128.247580 129.271728
## [127] 130.323492 131.347508 132.343796 133.340027 134.336200 135.332317
## [133] 136.356042 137.407375 138.430965 139.426832 140.422670 141.418446
## [139] 142.414153 143.409804 144.433049 145.483885 146.507007 147.502419
## [145] 148.497779 149.493071 150.488307 151.511137 152.561538 153.584246
## [151] 154.579254 155.574188 156.569077 157.563908 158.586309 159.636285
## [157] 160.658561 161.653154 162.647701 163.642185 164.636602 165.658579
## [163] 166.708130 167.729990 168.724174 169.718300 170.712364 171.706376
## [169] 172.691129 173.740239 174.798495 175.709462 176.730775 177.807247
## [175] 178.800845 179.849581 180.870658 181.864091 182.857472 183.850767
## [181] 184.871591 185.864788 186.940682 187.988928 188.926761 189.919715
## [187] 190.912624 191.933040 192.958914 193.979209 194.993920 195.986539
## [193] 196.979094 197.999138 199.046703 199.956376 200.948676 202.051193
## [199] 203.043390 204.063084 205.110275 206.129850 207.121809 208.113705
## [205] 209.105549 210.124883 211.171684 212.190892 213.182521 214.174069
## [211] 215.193090 216.239602 217.258511 218.249821 219.241079 220.232275
## [217] 221.250942 222.297080 223.315627 224.306585 225.297485 226.315856
## [223] 227.361683 228.379918 229.370579 230.361183 231.351736 232.369750
## [229] 233.415209 234.433086 235.423388 236.413639 237.431345 238.476492
## [235] 239.494076 240.484094 241.474049 242.491446 243.536281 244.553561
## [241] 245.543283 246.532947 247.550041 248.594560 249.611535 250.600960
## [247] 251.590329 252.607132 253.651339 254.667986 255.657127 256.646217
## [253] 257.662702 258.706608 259.722977 260.711816 261.700598 262.716783
## [259] 263.760366 264.776423 265.764971 266.753469 267.769353 268.812631
## [265] 269.828402 270.816643 271.804828 272.820413 273.863379 274.878841
## [271] 275.866786 276.854675 277.869961 278.912621 279.927780 280.915440
## [277] 281.930467 282.972883 283.987808 284.975218 285.962571 286.977304
## [283] 288.019403 289.034013 290.021138 291.008206 292.022636 293.064417
## [289] 294.078723 295.065552 296.079735 297.121278 298.135343 299.121932
## [295] 300.135870 301.177153 302.190974 303.177330 304.163629 305.177264
## [301] 306.218241 307.231756 308.217816 309.231214 310.271935 311.285194
## [307] 312.271020
##
## $N2
## [1] 1.152413e-03 1.545996e-04 8.002106e-05 1.084164e-04 1.405810e-04
## [6] 2.040281e-04 5.772884e-04 1.518519e-03 3.420417e-03 6.996098e-04
## [11] 1.400733e-03 7.563427e-04 7.026192e-04 7.425275e-04 1.106449e-03
## [16] 8.109130e-04 3.343095e-04 7.058369e-04 4.650545e-04 3.378007e-04
## [21] 2.834266e-04 3.034771e-04 4.867961e-04 2.592112e-04 2.849709e-04
## [26] 1.502628e-04 1.054258e-04 3.027892e-04 3.362076e-04 3.301313e-04
## [31] 2.099276e-04 1.173023e-04 2.925009e-04 3.471848e-04 4.289311e-05
## [36] 1.283683e-04 1.440935e-04 2.586799e-04 1.904492e-04 1.267772e-04
## [41] 2.240154e-05 1.178814e-04 1.837408e-04 5.396653e-05 2.852461e-04
## [46] 3.075450e-05 5.003468e-05 7.937587e-05 1.266602e-04 -4.017535e-05
## [51] 3.378911e-04 1.137449e-04 4.017250e-05 3.801866e-05 2.650265e-05
## [56] 1.338346e-04 6.086069e-05 3.427962e-05 1.459641e-04 -5.634960e-06
## [61] 1.226617e-04 9.550229e-05 -2.119041e-05 4.731780e-05 6.457983e-05
## [66] 6.847518e-05 4.678998e-05 1.734955e-04 7.056836e-05 3.804214e-05
## [71] 5.137215e-05 -1.778087e-05 3.316781e-05 2.663931e-05 1.977589e-06
## [76] 3.141766e-05 9.590101e-06 1.814667e-05 2.859317e-05 2.286606e-05
## [81] 9.139886e-05 2.702626e-05 5.151791e-05 5.596463e-05 5.145222e-05
## [86] 1.721234e-05 4.762062e-05 1.913869e-04 2.021489e-04 4.860241e-05
## [91] 1.123934e-04 4.064339e-05 1.233602e-04 -3.107831e-05 1.197100e-04
## [96] 6.361557e-05 3.045383e-05 2.623883e-04 1.349443e-04 3.128714e-04
## [101] 1.846701e-04 8.914369e-05 2.540991e-04 3.012905e-04 1.585901e-04
## [106] 3.591963e-05 1.150270e-04 2.322460e-04 9.762948e-05 -2.216894e-05
## [111] 6.377301e-05 5.170616e-05 5.685285e-05 1.023834e-04 7.574755e-05
## [116] 3.361654e-05 5.294994e-05 7.266359e-05 5.234276e-06 8.500221e-06
## [121] 1.194127e-04 8.770265e-08 2.072462e-05 6.529153e-05 7.394081e-05
## [126] 2.495482e-05 4.142314e-06 4.931423e-05 1.070793e-07 1.125083e-05
## [131] 3.015902e-05 -1.035876e-05 6.683418e-05 -2.889024e-05 -1.358835e-05
## [136] 1.354464e-04 2.604080e-04 1.604834e-04 -1.270659e-06 9.482132e-05
## [141] 1.880709e-04 1.654604e-04 7.579091e-05 5.954950e-05 6.558925e-05
## [146] 3.716286e-05 4.404088e-05 -1.748788e-05 6.887891e-05 3.558139e-06
## [151] 5.095847e-05 2.112078e-04 1.040656e-05 1.017777e-04 4.418894e-05
## [156] 2.867139e-05 4.152808e-05 3.631607e-05 6.304717e-05 4.581042e-05
## [161] 1.839024e-06 1.399309e-05 4.420915e-05 7.073966e-05 1.199448e-04
## [166] 1.019058e-07 1.019292e-07 1.019561e-07 1.331548e-05 9.912824e-06
## [171] 4.718795e-05 -5.515766e-05 4.570655e-05 1.213569e-04 2.724078e-05
## [176] 3.033991e-05 -1.055430e-06 1.513657e-04 1.637252e-04 -1.772039e-05
## [181] 6.647720e-05 3.573097e-05 6.441561e-05 6.717629e-05 4.343304e-06
## [186] 6.782423e-05 3.712817e-05 1.039569e-05 7.476946e-05 1.178417e-05
## [191] 8.872996e-05 -1.796060e-06 -2.286815e-05 6.105843e-05 3.701809e-05
## [196] 5.369048e-05 2.588709e-05 5.505122e-05 1.166814e-04 3.385015e-05
## [201] 3.037886e-05 5.596694e-05 1.559213e-05 9.382381e-05 6.311931e-05
## [206] 2.460747e-05 5.086222e-05 1.348904e-04 -5.935615e-05 5.600270e-05
## [211] 5.570682e-05 2.871702e-05 1.538683e-05 1.970205e-04 1.559891e-05
## [216] 4.246544e-05 -5.272936e-05 -1.451916e-05 1.735715e-05 4.629018e-05
## [221] 1.363805e-04 -4.786258e-05 2.445610e-05 8.615932e-05 3.455765e-05
## [226] -1.068034e-04 3.561538e-05 4.421160e-05 7.390285e-06 1.509860e-05
## [231] -6.629491e-06 8.391303e-05 -6.878782e-06 -5.466651e-06 5.299532e-05
## [236] 4.568435e-05 1.919234e-05 1.225764e-05 -1.406187e-05 2.023838e-05
## [241] 5.062118e-05 -2.109737e-05 -1.917528e-05 6.126431e-05 1.579654e-07
## [246] 1.724199e-05 5.188367e-05 2.316010e-05 -7.103988e-06 -7.731395e-06
## [251] 8.543743e-05 -1.115389e-05 -3.123606e-06 6.490252e-05 -6.406484e-05
## [256] 1.378482e-07 1.378813e-07 5.883716e-05 6.037991e-05 -2.922283e-05
## [261] 1.971341e-05 3.068371e-05 -6.510038e-05 1.381743e-07 5.178980e-05
## [266] 2.748013e-05 1.025422e-05 4.234075e-05 -1.251308e-05 -5.240988e-05
## [271] -3.282366e-05 5.684404e-05 5.390844e-06 3.906290e-05 1.736306e-05
## [276] 1.393680e-07 -8.574042e-06 1.670488e-06 2.022620e-05 5.105055e-05
## [281] 3.658880e-06 -3.944934e-06 1.117721e-05 -1.395411e-05 1.800860e-06
## [286] -4.934942e-06 1.089846e-05 -7.993438e-08 -1.461824e-05 5.061710e-06
## [291] 1.809105e-05 3.697454e-05 -3.433572e-05 3.947231e-05 3.304209e-05
## [296] -4.894571e-06 -5.401010e-05 7.874818e-05 7.412115e-06 3.458194e-05
## [301] 3.086230e-05 -4.543504e-05 1.497036e-05 -1.619583e-05 1.275642e-07
## [306] 1.275997e-07 6.554399e-06 -4.017360e-05 5.395757e-05 1.294546e-06
## [311] 8.205590e-08 1.849333e-05 -8.126931e-06 2.928631e-05 4.323313e-05
## [316] -3.435998e-05 2.330767e-05 5.445768e-05 -2.573724e-05 -7.886227e-05
## [321] 6.112410e-05 1.100685e-05 1.021629e-06 -6.274710e-05 1.810120e-05
## [326] 7.202129e-05 -1.711819e-05 1.737822e-05 -2.765109e-05 2.648571e-05
## [331] 1.523344e-06 2.026640e-05 -4.792026e-06 1.799089e-05 1.630369e-05
## [336] -1.838681e-05 9.768685e-06 -5.312574e-05 1.108560e-04 4.533291e-06
## [341] -2.360987e-05 -8.309439e-06 -1.966836e-05 1.303673e-07 1.888989e-05
## [346] 1.304149e-07 1.317440e-07 1.739987e-05 -1.622194e-05 1.350269e-07
## [351] -4.303556e-05 -3.440249e-05 1.350809e-07 1.351172e-07 1.351530e-07
## [356] 3.467912e-05 -3.137524e-06 6.886861e-05 -8.623871e-05 5.741893e-05
## [361] 1.343291e-06 1.354413e-07 -7.228504e-06 5.880454e-05 2.359226e-05
## [366] -3.442819e-05 1.354921e-07 -1.787574e-05 5.089737e-05 -8.506993e-06
## [371] 8.778633e-06 -7.902467e-05 2.225784e-05 2.690057e-06 1.355778e-07
## [376] 1.893743e-05 6.960386e-05 -4.309924e-05 5.095522e-05 -2.719844e-06
## [381] 7.165261e-06 -4.275605e-05 -2.527088e-05 1.366416e-07 1.366764e-07
## [386] 1.367124e-07 1.367489e-07 1.743639e-05 6.933913e-05 6.570020e-05
## [391] -4.694882e-05 -1.974460e-05 -1.870124e-05 -2.200804e-05 -3.447360e-05
## [396] 4.985761e-05 2.020487e-06 1.708504e-05 1.219848e-07 1.220210e-07
## [401] 1.220577e-07 -1.422189e-05 2.725008e-05 -1.722451e-05 2.738620e-05
## [406] 1.218920e-07 1.219282e-07 1.219649e-07 1.220010e-07 5.103802e-05
## [411] -1.516346e-05 1.219580e-07 3.476936e-05 1.653496e-05 1.220933e-07
## [416] 1.221295e-07 1.221657e-07 1.222024e-07 1.222386e-07 -9.820350e-07
## [421] -9.191355e-05 1.745392e-05 1.225152e-07 2.996527e-05 -1.330025e-05
## [426] 1.008834e-05 2.517000e-05 1.490459e-05 -1.244487e-05 2.385035e-05
## [431] -3.388518e-05 2.613220e-05 1.316594e-05 1.703005e-05 -2.766571e-05
## [436] 3.480672e-05 1.619470e-05 -1.718733e-05 4.870712e-06 -2.263441e-05
## [441] -9.928747e-07 1.241663e-07 1.242028e-07 9.584022e-06 1.011028e-05
## [446] -1.879838e-05 1.243495e-07 1.243860e-07 1.244224e-07 1.244594e-07
## [451] 6.954372e-05 -3.604830e-05 6.918548e-05 -1.986308e-05 -7.377974e-05
## [456] 1.148852e-05 -1.986826e-05 -8.222294e-07 1.054401e-05 -9.874111e-06
## [461] -9.874951e-06 1.250724e-07 1.657616e-05 1.251533e-07 -1.632759e-05
## [466] 1.252195e-07 6.960109e-05 8.353101e-06 4.126582e-05 -4.330322e-05
## [471] -4.254234e-05 -4.615792e-06 1.255931e-07 1.340329e-05 -2.263844e-05
## [476] 1.257228e-07 -4.979578e-06 4.262485e-05 -3.463270e-05 1.005633e-04
## [481] 1.494551e-05 1.260802e-07 1.261168e-07 1.261539e-07 -3.692968e-05
## [486] -3.693266e-05 1.262166e-07 -2.140753e-06 -1.911843e-05 -9.898508e-06
## [491] 6.253699e-05 -3.631247e-05 5.966571e-05 -1.983907e-05 -1.286293e-05
## [496] 5.230978e-05 -3.009856e-05 2.902785e-05 -1.108495e-05 3.426988e-05
## [501] -6.485126e-05 -3.140573e-05 1.885885e-05 -7.103534e-06 1.173790e-05
## [506] -8.436558e-06 1.229067e-07 1.229435e-07 1.229807e-07 1.230175e-07
## [511] 1.230543e-07 1.230916e-07 1.231283e-07 1.496815e-05 -1.472231e-05
## [516] 1.753558e-05 -1.637361e-05 3.311867e-05 -2.544870e-05 9.484029e-07
## [521] 6.351577e-05 -1.835217e-05 -7.042241e-05 1.086614e-04
##
## $p_mid
## [1] 2.902020 3.905726 5.020898 6.024491 6.916532 7.920017
## [7] 9.007056 10.094025 11.236676 12.156313 13.159487 14.151475
## [13] 15.098819 16.168702 17.171653 18.174553 19.177397 20.247036
## [19] 21.249749 22.166996 23.225313 24.246428 25.221072 26.279191
## [25] 27.309416 28.289453 29.208188 30.260505 31.457507 32.431758
## [31] 33.322450 34.324424 35.326342 36.305924 37.307711 38.331730
## [37] 39.361247 40.418519 41.447901 42.477221 43.478667 44.452234
## [43] 45.453572 46.427039 47.511695 48.540672 49.458345 50.431578
## [49] 51.488149 52.628109 53.628993 54.640904 55.641663 56.575644
## [55] 57.509580 58.510163 59.577386 60.644541 61.644947 62.578605
## [61] 63.606682 64.662484 65.690450 66.690573 67.690616 68.690607
## [67] 69.668327 70.668210 71.690264 72.690039 73.689752 74.717169
## [73] 75.772292 76.799593 77.799074 78.798491 79.797841 80.797151
## [79] 81.796403 82.795582 83.794716 84.858541 85.857560 87.013749
## [85] 88.068143 88.900489 89.899264 90.842509 91.896644 92.950734
## [91] 93.921537 94.975512 95.979482 96.977838 97.998351 98.996610
## [97] 99.994805 100.992938 101.991026 103.016772 104.070177 105.095804
## [103] 106.093647 107.091439 108.089169 109.086853 110.084486 111.082028
## [109] 112.107219 113.160075 114.185163 115.182489 116.113273 117.110479
## [115] 118.174114 119.171207 120.195937 121.248296 122.272903 123.380500
## [121] 124.377275 125.263272 126.259984 127.256616 128.253174 129.249687
## [127] 130.356852 131.408593 132.349569 133.345843 134.342060 135.338220
## [133] 136.361990 137.413369 138.437004 139.432914 140.428796 141.424615
## [139] 142.420366 143.416059 144.356386 145.434920 146.541050 147.508853
## [145] 148.504257 149.499593 150.494871 151.407174 152.457621 153.590946
## [151] 154.585997 155.580975 156.575907 157.570781 158.593227 159.643248
## [157] 160.665569 161.660205 162.654796 163.649324 164.643784 165.665805
## [163] 166.715402 167.737307 168.842000 169.836169 170.719811 171.713867
## [169] 172.735471 173.806714 174.828207 175.799943 176.793697 177.787401
## [175] 178.808645 179.857427 180.878549 181.872024 182.865449 183.858788
## [181] 184.879656 186.038430 187.059197 187.941954 188.935003 190.038318
## [187] 191.031270 191.941413 192.989391 194.031789 195.024486 195.995089
## [193] 196.987688 198.007776 199.055387 200.075366 201.067710 202.126163
## [199] 203.118404 204.071987 205.119224 206.138843 207.296171 208.266066
## [205] 209.092628 210.134050 211.180897 212.172602 213.219358 214.238498
## [211] 215.202479 216.193959 217.240447 218.305237 219.269005 220.241884
## [217] 221.260595 222.306779 223.325371 224.316371 225.307314 226.325730
## [223] 227.371602 228.389882 229.380587 230.371234 231.361830 232.379889
## [229] 233.425393 234.443314 235.433660 236.423954 237.441704 238.486897
## [235] 239.422023 240.439585 241.512085 242.502026 243.546907 244.564231
## [241] 245.553996 246.543704 247.560843 248.605406 249.622426 250.611895
## [247] 251.601307 252.618154 253.662406 254.679098 255.668282 256.657415
## [253] 257.673945 258.717896 259.734309 260.723192 261.712017 262.728246
## [259] 263.771875 264.787976 265.776568 266.765108 267.781037 268.824360
## [265] 269.840175 270.828460 271.816688 272.832317 273.875328 274.890835
## [271] 275.878824 276.866755 277.882086 278.924791 279.939994 280.927698
## [277] 281.942769 282.985230 284.000200 284.987653 285.975049 286.989826
## [283] 288.031971 289.019205 290.088631 291.103163 292.035379 293.077206
## [289] 294.091556 295.078428 296.092655 297.134244 298.148352 299.134985
## [295] 300.148967 301.190296 302.204161 303.190560 304.176902 305.190581
## [301] 306.231603 307.245163 308.231266 309.244708 310.285475 311.298778
## [307] 312.284647 313.270465 314.283598 315.324059 316.337068 317.322647
## [313] 318.335534 319.375723 320.388495 321.373840 322.386489 323.426445
## [319] 324.438967 325.424072 326.436465 327.476160 328.488455 329.473316
## [325] 330.485474 331.524925 332.536967 333.521588 334.533498 335.682085
## [331] 336.693879 337.568888 338.580558 339.619511 340.631045 341.615183
## [337] 342.626631 343.665345 344.676646 345.660561 346.671746 347.710194
## [343] 348.721258 349.704928 350.715864 351.754068 352.764881 353.748317
## [349] 354.759027 355.796987 356.807548 357.790734 358.801188 359.838888
## [355] 360.849209 361.832178 362.842395 363.879840 364.889921 365.899940
## [361] 366.937197 367.947102 368.929632 369.939389 370.976413 371.986091
## [367] 372.968398 373.977932 375.014684 376.024096 377.006175 378.015462
## [373] 379.051964 380.061134 381.070235 382.106556 383.115531 384.097160
## [379] 385.106032 386.142115 387.150851 388.159533 389.195411 390.203964
## [385] 391.185205 392.193637 393.229255 394.237567 395.218569 396.226759
## [391] 397.262127 398.270203 399.278207 400.313377 401.321264 402.301844
## [397] 403.309602 404.344533 405.352177 406.359753 407.394485 408.401942
## [403] 409.409330 410.443875 411.451150 412.431125 413.438263 414.472581
## [409] 415.479605 416.486560 417.520674 418.527512 419.507076 420.513794
## [415] 421.547658 422.554254 423.560788 424.594459 425.600865 426.607203
## [421] 427.640687 428.646918 429.625883 430.631986 431.665220 432.671197
## [427] 433.677109 434.710150 435.715948 436.721680 437.754534 438.760147
## [433] 439.765693 440.798337 441.803750 442.781957 443.787268 444.819679
## [439] 445.824865 446.829984 447.862202 448.867200 449.872127 450.904152
## [445] 451.908966 452.913712 453.945550 454.950191 455.954766 456.986400
## [451] 457.990826 458.995204 460.026667 461.030926 462.035122 463.066392
## [457] 464.070463 465.074466 466.105549 467.109442 468.086131 469.089897
## [463] 470.120735 471.124371 472.127943 473.158588 474.162042 475.165426
## [469] 476.195878 477.199155 478.202362 479.232615 480.235700 481.238729
## [475] 482.268795 483.271698 484.274549 485.304422 486.307122 487.309774
## [481] 488.339471 489.342000 490.344463 491.373955 492.403396 493.432774
## [487] 494.434993 495.437147 496.466327 497.468369 498.470339 499.499326
## [493] 500.501177 501.502956 502.531756 503.533427 504.462844 505.491444
## [499] 506.630055 507.550293 508.540827 509.623305 510.570413 511.733945
## [505] 512.789187 513.681980 514.682946 515.683871 516.711778 517.712578
## [511] 518.713319 519.741039 520.741653 521.742198 522.769725 523.770158
## [517] 524.770524 525.797863 526.825155 527.852358 528.825428 529.852507
## [523] 530.924571 531.897485
##
## $N2
## [1] 1.812136e-03 1.044914e-03 3.810467e-03 1.753316e-03 4.388039e-04
## [6] 7.401951e-04 1.148707e-03 1.338073e-03 7.961124e-04 2.846668e-04
## [11] 1.444173e-04 4.900892e-05 5.655009e-05 6.622236e-05 5.615047e-05
## [16] 8.023895e-05 2.842324e-04 1.683347e-04 2.292443e-04 9.889881e-05
## [21] 7.152568e-04 1.572842e-04 6.437814e-05 6.437908e-05 4.860501e-05
## [26] 3.893889e-05 1.959140e-05 3.399953e-05 3.388987e-05 2.908956e-05
## [31] 1.214734e-05 4.116366e-05 -1.447093e-05 -3.022032e-05 1.274933e-06
## [36] 2.789684e-05 5.233195e-05 6.137729e-06 -1.600941e-08 2.053528e-05
## [41] 2.781419e-05 6.772218e-05 1.427387e-04 2.515674e-04 2.420953e-04
## [46] 7.739262e-05 -3.034728e-05 1.599202e-04 1.451854e-04 2.856749e-04
## [51] 8.995939e-05 1.073657e-04 2.268023e-04 2.418079e-04 8.928625e-05
## [56] 5.219995e-05 1.168654e-04 9.726885e-06 5.830149e-05 -9.574815e-06
## [61] -6.323209e-06 7.818542e-05 -3.548178e-05 5.855722e-06 9.443276e-05
## [66] 1.388246e-04 2.551931e-04 2.829684e-04 3.840357e-05 3.731057e-04
## [71] 3.233026e-04 3.070798e-04 3.955714e-04 4.592518e-04 1.819118e-04
## [76] 1.827696e-04 2.119137e-04 6.625060e-05 -4.251898e-05 3.419994e-05
## [81] -7.364516e-06 6.417909e-06 6.393405e-05 8.218686e-05 5.247942e-06
## [86] 2.402027e-07 8.344249e-05 7.082958e-05 3.029804e-04 6.328117e-05
## [91] 2.238634e-04 7.103157e-05 8.067963e-05 2.877230e-05 7.707511e-05
## [96] -1.499743e-05 1.092605e-04 1.489362e-04 1.112131e-04 3.471135e-07
## [101] 6.288639e-05 2.263769e-04 1.741243e-04 1.739371e-04 3.858773e-05
## [106] 7.013924e-05 3.253350e-04 4.568610e-04 1.814377e-04 3.356682e-04
## [111] 2.327041e-05 7.981420e-05 2.768488e-04 1.551538e-04 2.363287e-04
## [116] 3.556173e-05 6.290323e-05 5.347946e-05 1.242539e-04 1.725957e-04
## [121] 3.108978e-05 -5.150877e-05 9.570496e-06 4.571500e-05 3.024905e-05
## [126] 2.876147e-05 -2.684651e-05 4.918425e-05 1.904713e-05 -5.411393e-05
## [131] 1.086349e-07 1.086616e-07 1.086891e-07 1.641446e-05 1.732205e-05
## [136] 5.174859e-05 -1.016161e-05 -2.831819e-05 1.088083e-07 9.586062e-06
## [141] 2.704613e-05 1.088560e-07 1.906746e-05 2.854827e-05 9.589232e-06
## [146] 2.855250e-05 -9.373406e-06 9.087280e-06 1.032579e-07 1.032856e-07
## [151] -2.312609e-05 1.312782e-04 7.685874e-05 -8.494169e-06 5.766820e-05
## [156] 5.357302e-05 -1.713666e-05 1.823479e-06 5.526624e-05 -5.937085e-06
## [161] -1.198026e-05 7.538656e-05 1.216815e-05 -2.319444e-05 3.026304e-05
## [166] 3.197861e-05 3.803101e-05 2.855068e-05 2.435937e-05 -3.812808e-05
## [171] 3.026190e-05 1.113397e-04 1.556879e-05 -5.109644e-06 2.166859e-05
## [176] 3.245209e-05 1.044378e-05 -3.356766e-05 -8.527082e-06 2.078708e-05
## [181] 3.353088e-05 2.630920e-06 -3.614066e-05 2.686375e-05 -9.385141e-06
## [186] 1.908675e-05 9.596690e-06 5.500904e-06 1.269585e-05 3.807995e-05
## [191] 1.909349e-05 -1.888370e-05 1.053272e-07 6.740436e-06 6.881138e-05
## [196] -1.717423e-05 -8.371916e-05 3.210175e-05 9.629493e-06 -1.796056e-05
## [201] 2.803646e-05 4.764394e-05 -8.540980e-05 1.282931e-07 4.075739e-05
## [206] 7.661407e-05 -3.050056e-05 -1.111119e-05 -1.603115e-06 7.102533e-05
## [211] 1.421530e-05 -2.951903e-05 3.473474e-05 2.780698e-05
##
## $p_mid
## [1] 3.013749 4.017524 5.021243 6.024905 7.028509 8.032063
## [7] 9.063423 10.122587 11.153831 12.157146 13.160394 14.163590
## [13] 15.166729 16.169812 17.172832 18.175801 19.178713 20.181563
## [19] 21.184344 22.187086 23.189770 24.192387 25.222803 26.280995
## [25] 27.311291 28.313675 29.315997 30.318267 31.320481 32.322638
## [31] 33.324737 34.326781 35.328767 36.330679 37.332535 38.334362
## [37] 39.363949 40.421293 41.450746 42.452318 43.453833 44.455286
## [43] 45.456693 46.458037 47.459330 48.460566 49.461740 50.462846
## [49] 51.491684 52.548304 53.577062 54.577936 55.578763 56.579528
## [55] 57.580236 58.580887 59.498100 60.609789 61.693640 62.582901
## [61] 63.611049 64.666923 65.694960 66.695151 67.695263 68.695323
## [67] 69.695332 70.695284 71.695185 72.695030 73.694811 74.722298
## [73] 75.777494 76.804866 77.804415 78.803901 79.803319 80.802697
## [79] 81.802019 82.801266 83.800468 84.827363 85.881949 86.908722
## [85] 87.907691 88.906592 89.905436 90.904229 91.902959 92.901638
## [91] 93.927985 94.982033 96.008261 97.006684 98.005079 99.003406
## [97] 100.001670 100.999872 101.998028 103.023848 104.077325 105.103019
## [103] 106.100931 107.098792 108.096590 109.094342 110.092044 111.089654
## [109] 112.114916 113.167845 114.193002 115.190397 116.187734 117.185009
## [115] 118.182228 119.179389 120.204190 121.256620 122.281298 123.278215
## [121] 124.275058 125.271872 126.268652 127.265353 128.261980 129.286243
## [127] 130.338125 131.362256 132.358656 133.354998 134.351284 135.347513
## [133] 136.371352 137.422804 138.446509 139.442488 140.438438 141.434325
## [139] 142.430144 143.425907 144.449267 145.500221 146.523457 147.518981
## [145] 148.514453 149.509858 150.505205 151.528150 152.578669 153.601492
## [151] 154.596611 155.591657 156.586658 157.581601 158.604116 159.654210
## [157] 160.676601 161.671306 162.665965 163.660561 164.655089 165.677181
## [163] 166.726850 167.748825 168.743120 169.737358 170.731533 171.725658
## [169] 172.747332 173.796560 174.818123 175.812014 176.805837 177.799609
## [175] 178.820923 179.869777 180.890969 181.884513 182.878006 183.871413
## [181] 184.892351 185.940843 186.961680 187.954859 188.947977 189.941043
## [187] 190.934063 191.954594 193.002644 194.023053 195.015818 196.008548
## [193] 197.001215 198.021374 199.069056 200.089105 201.081517 202.073883
## [199] 203.066192 204.086001 205.133309 206.152999 207.145069 208.137076
## [205] 209.129032 210.148481 211.195399 212.214722 213.206462 214.198122
## [211] 215.217257 216.263886 217.282910 218.274331
## Warning in gsw_Nsquared(binSA_2, binCT_2, binp_2, Lat): gsw_Nsquared() has some NA inputs ... these are not handled well
## $N2
## [1] 4.537300e-04 1.177423e-04 7.721338e-05 3.815460e-05 7.064797e-06
## [6] 6.042236e-05 -3.607553e-06 1.686734e-04 2.209594e-04 4.586367e-04
## [11] 3.611103e-04 3.617711e-04 1.384729e-04 1.188175e-04 2.299114e-04
## [16] 4.073846e-04 8.445761e-04 8.929600e-04 4.676629e-04 6.464207e-04
## [21] 1.046567e-03 5.306033e-04 6.817718e-04 1.245348e-04 3.657223e-04
## [26] 3.727874e-04 5.926098e-04 -2.465539e-04 NaN NaN
## [31] -8.941410e-04 3.091719e-05 1.850229e-04 -7.375141e-05 -5.395584e-04
## [36] 4.610580e-04 3.969787e-05 8.318590e-04 -1.568670e-04 3.131431e-04
## [41] -1.707969e-05 -9.949932e-05 1.236732e-05 -1.868387e-04 NaN
## [46] NaN -2.744072e-03 8.884489e-03 9.908486e-05 1.023017e-04
## [51] 5.060179e-04 1.957339e-05 1.526648e-05 NaN NaN
## [56] NaN NaN NaN 2.807302e-04 5.743312e-05
## [61] -1.555766e-04 5.035681e-05 1.442954e-04 1.772838e-04 -1.605137e-05
## [66] 1.091469e-04 -7.365382e-05 1.421652e-03 -1.194342e-03 2.446532e-05
## [71] 5.121555e-06 1.943020e-05 -6.093720e-05 3.403830e-05 1.496162e-04
## [76] -6.837152e-06 1.753487e-05 1.282437e-04 -9.044170e-05 3.957323e-04
## [81] -1.613903e-04 -1.221068e-04 7.553390e-05 -1.076604e-04 9.639565e-05
## [86] 1.152604e-04 7.411662e-05 -1.207399e-05 6.116836e-05 1.008076e-05
## [91] -9.096142e-06 7.781778e-05 -3.533972e-05 2.180130e-05 6.140430e-05
## [96] 6.724401e-05 -3.645303e-05 -4.509563e-05 -2.749045e-05 1.709873e-04
## [101] 3.604688e-05 -3.562359e-06 5.626396e-05 -2.567316e-05 9.635963e-05
## [106] 3.631760e-05 6.076148e-05 1.573359e-05 -2.579937e-05 -7.000960e-06
## [111] 1.023844e-04 8.523030e-05 -3.070399e-05 6.847447e-05 -3.112967e-05
## [116] 6.252474e-05 1.976153e-05 4.482822e-05 -2.296637e-06 4.944410e-05
## [121] 3.476156e-05 -1.425408e-05 9.812682e-05 5.500909e-05 -2.937621e-05
## [126] 8.843376e-05 -2.540017e-05 1.836483e-04 -7.887430e-05 7.492110e-05
## [131] -1.615191e-05 -7.528317e-06 1.547259e-04 5.096542e-05 4.481267e-05
## [136] -1.939730e-05 5.497565e-06 3.637596e-06 1.036471e-05 -2.809395e-05
## [141] 5.127043e-05 7.256063e-05 -2.044296e-05 5.141390e-06 4.076365e-05
## [146] 1.467918e-05 4.127616e-05 -1.677285e-06 -4.381332e-06 2.594001e-05
## [151] 2.686805e-05 1.031694e-07 -1.134398e-05 3.454031e-05 1.696922e-05
## [156] 5.709268e-06 5.357269e-05 -1.502195e-05 -1.881734e-05 1.122141e-04
## [161] -5.545563e-06 3.765107e-06 2.006837e-05 -3.811859e-05 8.428941e-05
## [166] 2.577169e-05 6.385609e-05 2.869303e-05 -8.345879e-06 2.295457e-05
## [171] 3.643183e-05 -2.905977e-05 -3.827350e-05 6.135407e-05 4.368307e-06
## [176] -2.459843e-05 3.153509e-05 -6.359527e-06 1.936124e-05 2.850123e-05
## [181] 2.194180e-05 -3.516521e-05 1.201786e-04 -2.880085e-05 7.541736e-05
## [186] -4.960835e-05 5.751399e-05 4.177997e-05 -4.380085e-05 2.963620e-06
## [191] 2.691387e-06 1.522382e-05 9.060906e-05 2.650921e-05 -1.084030e-05
## [196] 3.880067e-05 -4.624313e-05 3.667909e-05 -3.824837e-05 1.029696e-04
## [201] -4.033172e-05 -1.919204e-05 4.525717e-05 8.987011e-05 -8.188097e-06
## [206] 3.646505e-05 2.475912e-05 4.332865e-05 -3.483450e-05 7.674753e-05
## [211] -1.879973e-05 5.539011e-06 1.374100e-05 3.422647e-05 5.298535e-05
## [216] -3.939066e-05 1.178791e-05 5.270294e-05 8.076211e-06 -3.979338e-05
## [221] 5.933780e-05 4.391678e-05 2.604293e-05 -1.929425e-05 -1.407835e-05
## [226] 2.145108e-05 -5.075500e-05 -2.479636e-07 3.959724e-05 2.188987e-05
## [231] 1.619382e-07 4.114294e-05 1.360926e-05 -1.357509e-05 6.525753e-05
## [236] -7.668132e-06 3.406596e-05 -2.206564e-05 2.320428e-05 1.539289e-05
## [241] 2.044561e-05 -1.009482e-05 3.220393e-07 7.961488e-06 -1.553836e-05
## [246] 2.536721e-05 -2.178856e-05 -4.670354e-06 3.102663e-05 -3.043106e-05
## [251] 1.256720e-05 -1.920866e-05 5.245028e-05 -4.053798e-05 8.563527e-05
## [256] -2.738963e-05 5.486532e-05 -5.064477e-05 2.553102e-05 2.225489e-05
## [261] 7.502187e-06 7.490636e-06 -4.132506e-05 4.033754e-05 1.103045e-05
## [266] 1.478276e-05 -1.962424e-05 6.498046e-05 -3.241961e-05 5.285645e-05
## [271] -4.845824e-06 -2.454488e-05 3.528633e-05 2.972891e-05 -6.766760e-05
## [276] 7.997675e-05 1.520967e-05 -3.091066e-05 -1.800639e-05 3.110990e-05
## [281] 2.439713e-06 -3.723192e-05 8.858891e-05 -1.477636e-05 2.721924e-05
## [286] 1.988282e-05 -1.495607e-05 -1.759738e-05 -3.747532e-05 3.985732e-05
## [291] 3.565717e-05 5.041878e-05 -3.936256e-05 -1.100378e-05 4.051314e-05
## [296] 4.841337e-06 -6.885927e-05 3.328612e-05 3.295569e-05 -1.384984e-05
## [301] 8.942480e-06 6.131471e-05 -3.850919e-05 1.525756e-05 1.761838e-05
## [306] -2.955183e-05 4.883434e-05 -3.213167e-05 -3.623220e-06 -5.498855e-06
## [311] 1.270821e-07 8.738546e-06 -2.772746e-05 -1.553890e-07 1.272778e-07
## [316] 5.913032e-05 -4.335539e-05 5.219459e-05 -5.043065e-06 2.273795e-06
## [321] -1.236403e-05 -1.677085e-05 1.690186e-05 1.429683e-05 7.870792e-05
## [326] -2.993282e-05 -1.369040e-05 -6.379557e-06 -2.813569e-06 -7.560494e-06
## [331] -1.971355e-05 5.183906e-05 -1.768047e-05 5.951449e-05 -1.972256e-05
## [336] -9.796821e-06 3.398559e-05 -6.095008e-05 6.230470e-05 -8.247132e-05
## [341] 2.034579e-05 -1.591759e-05 3.592865e-05 -9.798899e-06 5.630803e-05
## [346] 8.759514e-05 -1.025949e-04 1.946708e-05 -1.013514e-05 3.760898e-05
## [351] 1.213827e-05 2.942669e-06 -7.873188e-05 5.906219e-05 1.007581e-05
## [356] 1.475249e-05 6.404881e-05 -3.388163e-06 2.770031e-06 -5.096400e-05
## [361] 3.045019e-05 3.800510e-05 -8.679522e-05 4.467087e-05 3.616665e-05
## [366] 4.862523e-05 -1.247898e-05 -7.465565e-07 -5.875082e-05 -9.828146e-06
## [371] -2.975244e-05 1.159956e-04 2.383895e-05 -6.893657e-05 -8.045995e-06
## [376] 1.337446e-07 1.337815e-07 4.142979e-05 -2.974365e-05 3.261366e-05
## [381] 1.327509e-07 2.657274e-05 8.317625e-06 2.404268e-05 -9.194848e-06
## [386] -2.757646e-05 2.092221e-05 1.334175e-07 1.544493e-05 3.408343e-06
## [391] 1.323414e-05 1.741912e-05 1.335332e-07 1.335707e-07 1.336076e-07
## [396] 1.336433e-07 1.328991e-07 1.249455e-07 1.226462e-07 1.226832e-07
## [401] 5.746715e-05 -6.113381e-05 1.202896e-05 -1.007379e-05 1.473348e-05
## [406] 5.932226e-05 -3.268191e-05 1.792269e-06 1.124227e-05 2.854166e-05
## [411] 1.215321e-05 -3.560048e-05 -1.831953e-05 1.487806e-05 -1.463110e-05
## [416] 1.238599e-07 4.832413e-05 1.932153e-05 1.012743e-05 -3.636179e-06
## [421] -5.592871e-06 6.641011e-05 -5.804084e-05 -2.028711e-05 1.645139e-05
## [426] 3.716318e-05 -1.144204e-05 -1.707470e-05 5.399480e-05 -9.465736e-06
## [431] -1.948972e-05 6.705135e-07 1.944809e-05 -1.126241e-05 3.017535e-05
## [436] 4.019387e-05 -1.683803e-05 4.398426e-05 -8.055674e-05 1.252083e-07
## [441] -2.144003e-05 4.939059e-05 3.108605e-06 7.582369e-06 -7.176830e-06
## [446] 8.750667e-05 -1.032632e-05 -3.999650e-05 3.093517e-06 -1.842471e-05
## [451] -3.083970e-06 3.917012e-05 4.099721e-05 -5.374470e-05 7.873444e-06
## [456] 1.913720e-05 1.256909e-07 -2.938326e-06 3.946102e-05 -2.094487e-05
## [461] -1.364595e-05 -6.890564e-06 4.498340e-05 1.015969e-05 8.681319e-06
## [466] -1.358310e-05 2.395042e-05 -2.178817e-05 -9.422384e-06 -6.215783e-06
## [471] 3.178970e-05 -2.587251e-05 1.748324e-05 -8.254801e-07 1.405131e-05
## [476] -1.356423e-05 9.297360e-06 4.806028e-05 6.407435e-05 -1.105402e-05
## [481] 8.702793e-06 -6.064691e-05 -1.162958e-05 3.575529e-05 5.845028e-06
## [486] 2.228457e-06 1.662457e-05 1.053141e-05 3.044863e-05 -5.199317e-05
## [491] 4.726184e-05 -3.274415e-05 -5.475267e-05 3.659522e-05 -1.205299e-05
## [496] 2.301199e-05 2.972131e-05 1.176643e-05 1.199549e-05 1.313643e-05
## [501] -2.588329e-05 3.306385e-05 1.364856e-05 -9.576163e-06 -5.099077e-06
## [506] -3.112041e-05 1.233371e-07 2.042880e-05 1.799829e-05 1.295977e-05
## [511] -9.656078e-07 -5.424693e-05 2.027799e-05 2.138961e-05 3.875821e-05
## [516] -2.640072e-05 1.717783e-05 -5.849934e-05 1.857580e-05 4.980438e-05
## [521] -3.516064e-05 3.072155e-05 -2.873624e-05 -4.019411e-05 1.210258e-05
## [526] -7.519159e-06 8.443193e-05 -2.445740e-05 -2.567271e-05 1.228143e-07
## [531] 1.662197e-05 1.296711e-05 4.886248e-05 8.724370e-06 -1.178218e-05
## [536] -2.649762e-06 1.767855e-05 -4.361863e-05 -4.348311e-06 2.030627e-05
## [541] -1.725275e-05 1.447191e-05 -3.335364e-05 3.785638e-05 -1.084295e-06
## [546] 8.385023e-06 3.664608e-05 -1.545882e-05 -1.770314e-05 6.749459e-05
## [551] -3.660096e-05 -1.762574e-05 2.828723e-05 8.729579e-06 1.324719e-05
## [556] -9.078118e-06 -4.111930e-05 3.700539e-05 -2.815362e-05 4.317550e-05
## [561] 1.218252e-07 8.733140e-06 6.109756e-05 -3.191286e-05 -4.271075e-05
## [566] 3.042629e-05 1.216925e-07 1.926399e-05 4.128110e-05 3.553951e-05
## [571] 1.022666e-05 -1.668166e-05 1.692602e-05 1.022909e-05 5.867252e-06
## [576] -2.086782e-05 -5.335195e-05 -5.624865e-06 1.023294e-05 -1.233141e-05
## [581] -1.616459e-05 5.437351e-06 -5.193109e-06 2.268641e-05 -3.276629e-06
## [586] 3.507303e-05 -1.233855e-05 2.216933e-05 -2.192652e-05 -1.094583e-05
## [591] 1.223645e-07 5.590672e-05 -2.254013e-05 -1.447930e-05 2.431674e-05
## [596] 2.313646e-05 -3.135486e-05 -9.825722e-06 -4.856216e-06 3.822070e-05
## [601] 5.258304e-05 -5.160373e-05 6.473030e-06 3.945606e-06 -3.716684e-06
## [606] 3.222808e-05
##
## $p_mid
## [1] 3.013751 4.017527 5.021247 6.024909 7.028514 8.032069
## [7] 9.063430 10.122594 11.153839 12.157155 13.160403 14.163600
## [13] 15.166740 16.169824 17.172844 18.175814 19.178727 20.181577
## [19] 21.184359 22.187102 23.189787 24.192404 25.222821 26.281014
## [25] 27.311310 28.313695 29.121123 30.179075 NaN NaN
## [31] 33.547474 34.326805 35.328792 36.330705 37.332561 38.334389
## [37] 39.363977 40.461066 41.490520 42.452349 43.453864 44.455318
## [43] 45.456725 46.402445 NaN NaN 49.628643 50.546326
## [49] 51.463915 52.659565 53.577101 54.577975 55.551002 NaN
## [55] NaN NaN NaN NaN 61.638105 62.582945
## [61] 63.675926 64.731801 65.695007 66.695199 67.695311 68.695372
## [67] 69.695382 70.695335 71.695237 72.695081 73.694864 74.722351
## [73] 75.777548 76.777153 77.776703 78.803957 79.803376 80.802755
## [79] 81.774318 82.801319 83.828281 84.827424 85.882010 86.908784
## [85] 87.907754 88.906655 89.905500 90.904294 91.903025 92.901705
## [91] 93.928052 94.982101 96.008329 97.006754 98.005149 99.003477
## [97] 100.001742 100.999944 101.998101 103.023921 104.077399 105.103094
## [103] 106.101007 107.098868 108.096667 109.094420 110.092122 111.089733
## [109] 112.114996 113.167925 114.193084 115.190479 116.187817 117.185093
## [115] 118.182312 119.179474 120.204275 121.256707 122.281385 123.278303
## [121] 124.275147 125.271962 126.268743 127.265444 128.262071 129.286335
## [127] 130.338218 131.362350 132.358750 133.355094 134.351380 135.347609
## [133] 136.371450 137.422902 138.446608 139.442587 140.438538 141.434426
## [139] 142.430246 143.426009 144.449370 145.500325 146.523562 147.519086
## [145] 148.514560 149.509964 150.505312 151.528258 152.578778 153.601601
## [151] 154.596722 155.591769 156.586769 157.581713 158.604230 159.654324
## [157] 160.676716 161.671421 162.666081 163.660678 164.655207 165.677299
## [163] 166.726969 167.748945 168.743241 169.737479 170.731655 171.725780
## [169] 172.747456 173.796684 174.818248 175.812140 176.805964 177.799736
## [175] 178.821051 179.869906 180.891098 181.884643 182.878136 183.871544
## [181] 184.892483 185.940976 186.961813 187.954994 188.948112 189.941178
## [187] 190.934199 191.954731 193.002782 194.023192 195.015957 196.008688
## [193] 197.001356 198.021515 199.069198 200.089248 201.081661 202.074027
## [199] 203.066337 204.086146 205.133456 206.153146 207.145217 207.971898
## [205] 209.046510 210.231286 211.195550 212.214874 213.206614 214.198275
## [211] 215.217411 216.264041 217.283065 218.274487 219.265858 220.257166
## [217] 221.275948 222.322204 223.340867 224.331936 225.322948 226.341435
## [223] 227.387379 228.405730 229.396503 230.387219 231.377884 232.396013
## [229] 233.441590 234.459582 235.449997 236.440360 237.458181 238.503445
## [235] 239.521145 240.511274 241.501342 242.518853 243.563807 244.581202
## [241] 245.571035 246.560812 247.578021 248.622658 249.639748 250.629285
## [247] 251.618766 252.635684 253.680008 254.696771 255.686024 256.675225
## [253] 257.691826 258.735850 259.752333 260.741285 261.730179 262.746478
## [259] 263.790180 264.806351 265.795011 266.783620 267.799620 268.843015
## [265] 269.858901 270.847254 271.835551 272.851251 273.894334 274.909912
## [271] 275.897969 276.885969 277.901370 278.944148 279.931984 280.919756
## [277] 281.962335 282.977436 284.074771 285.089725 285.994895 287.009743
## [283] 288.051960 289.066685 290.053922 291.041101 292.055646 293.097545
## [289] 294.090036 295.076976 296.113204 297.154865 298.169044 299.155745
## [295] 300.114988 301.211198 302.279943 303.211602 304.198012 305.211762
## [301] 306.252856 307.266486 308.252658 309.266170 310.307009 311.320383
## [307] 312.306321 313.292207 314.305410 315.345943 316.359023 317.344670
## [313] 318.357628 319.397889 320.410731 321.396145 322.408864 323.448892
## [319] 324.461484 325.446658 326.459121 327.498889 328.511254 329.496184
## [325] 330.508411 331.547935 332.560047 333.544737 334.556717 335.595997
## [331] 336.607862 337.592318 338.604058 339.643083 340.654688 341.638893
## [337] 342.650412 343.689198 344.700569 345.684553 346.695808 347.734328
## [343] 348.745462 349.729200 350.740206 351.778483 352.789366 353.772870
## [349] 354.783650 355.821683 356.832314 357.815568 358.826093 359.863864
## [355] 360.874256 361.857293 362.867581 363.905097 364.915248 365.925337
## [361] 366.962666 367.972641 368.955240 369.965067 371.002164 372.011911
## [367] 372.994287 374.003890 375.040715 376.050197 377.032344 378.041701
## [373] 379.078275 380.087515 381.096687 382.133080 383.142124 384.123822
## [379] 385.132764 386.168919 387.177725 388.186477 389.222427 390.231050
## [385] 391.212359 392.220861 393.256551 394.264934 395.246003 396.254263
## [391] 397.289703 398.297850 399.305924 400.341165 401.349123 402.329770
## [397] 403.337598 404.372601 405.380315 406.387961 407.422766 408.430292
## [403] 409.437750 410.472367 411.479712 412.459756 413.466964 414.501353
## [409] 415.508447 416.515472 417.549658 418.556566 419.536198 420.542986
## [415] 421.576922 422.583588 423.590191 424.623934 425.630410 426.636819
## [421] 427.670375 428.676675 429.655708 430.661881 431.695187 432.701234
## [427] 433.707215 434.740328 435.746196 436.751998 437.784924 438.790607
## [433] 439.796223 440.828939 441.834422 442.812696 443.818078 444.850560
## [439] 445.855816 446.861005 447.893295 448.898362 449.903359 450.935456
## [445] 451.940339 452.945156 453.977065 454.981776 455.986421 457.018126
## [451] 458.022622 459.027070 460.058605 461.062933 462.067199 463.098541
## [457] 464.102682 465.106755 466.137909 467.141872 468.118629 469.122464
## [463] 470.153374 471.157080 472.160722 473.191438 474.194962 475.198416
## [469] 476.228940 477.232286 478.235563 479.265888 480.269042 481.272141
## [475] 482.302278 483.305252 484.308172 485.338117 486.340887 487.343608
## [481] 488.373376 489.375976 490.378508 491.408072 492.437584 493.467034
## [487] 494.469322 495.471546 496.500798 497.502909 498.504949 499.534008
## [493] 500.535928 501.537779 502.566649 503.568388 504.570055 505.598727
## [499] 506.600280 507.601779 508.630269 509.631625 510.632923 511.661232
## [505] 512.689487 513.717648 514.718683 515.719677 516.747656 517.748526
## [511] 518.749336 519.777127 520.777811 521.778426 522.806024 523.806527
## [517] 524.806962 525.834373 526.861736 527.889010 528.889177 529.889303
## [523] 530.916401 531.916407 532.916337 533.943231 534.943046 535.942807
## [529] 536.969524 537.996168 539.022743 540.022260 541.021711 542.048093
## [535] 543.047413 544.046668 545.072868 546.099004 547.125074 548.124078
## [541] 549.123027 550.148909 551.147734 552.146503 553.172192 554.197806
## [547] 555.223375 556.221896 557.220332 558.245702 559.244037 560.242304
## [553] 561.267481 562.292598 563.317656 564.315673 565.313621 566.338480
## [559] 567.363283 568.388005 569.385687 570.383344 571.407901 572.432379
## [565] 573.456795 574.454188 575.451518 576.475746 577.499910 578.524001
## [571] 579.521078 580.518092 581.542001 582.538897 583.535737 584.559453
## [577] 585.583089 586.606674 587.603260 588.599779 589.623176 590.646503
## [583] 591.669764 592.692969 593.716111 594.712255 595.708338 596.731292
## [589] 597.754172 598.776984 599.772828 600.768596 601.791215 602.813781
## [595] 603.836274 604.831801 605.827270 606.849575 607.871812 608.893986
## [601] 609.889202 610.884360 611.906358 612.928270 613.950115 614.971910
##
## $N2
## [1] 6.900909e-04 1.275806e-04 -1.667200e-05 1.431511e-05 1.293015e-07
## [6] 6.617551e-05 4.107258e-05 5.137051e-05 1.403179e-05 2.559765e-05
## [11] 1.416520e-04 6.723609e-04 9.213411e-04 7.504344e-04 6.632730e-04
## [16] 4.755547e-04 2.050130e-04 4.096130e-04 6.870286e-04 8.685894e-04
## [21] 2.512297e-03 1.083613e-03 9.859397e-04 4.866841e-04 1.575760e-04
## [26] 2.259302e-04 1.347355e-04 5.516122e-05 1.514462e-04 8.712560e-05
## [31] 3.342233e-04 1.929819e-04 7.452830e-05 9.368615e-05 2.190256e-06
## [36] 5.325264e-05 -1.113857e-05 6.054577e-05 1.908357e-05 5.952802e-05
## [41] 3.505188e-05 2.439443e-05 1.720460e-04 1.941846e-04 3.672522e-05
## [46] 7.071743e-05 1.626845e-04 1.642571e-04 1.512709e-04 9.180148e-05
## [51] 1.718196e-04 4.676988e-05 5.224744e-05 1.010183e-04 1.191359e-04
## [56] 6.929104e-05 3.086059e-05 -1.311211e-05 2.666215e-05 5.327266e-05
## [61] 4.606653e-05 -6.158166e-06 3.814994e-05 -2.825333e-05 -5.462967e-05
## [66] 9.550940e-05 9.450732e-05 1.306159e-04 5.814306e-05 -1.704655e-05
## [71] -5.980219e-05 5.422469e-08 6.763511e-08 9.670011e-08 9.749178e-08
## [76] 3.819512e-05 8.582073e-05 2.741218e-07 7.645211e-05 9.257220e-05
## [81] 1.553634e-05 8.720796e-05 6.481598e-05 5.725101e-05 -1.776647e-06
## [86] 5.719966e-05 5.823133e-06 4.198108e-05 5.530335e-05 2.864640e-05
## [91] 9.548330e-08 2.714620e-05 5.721144e-05 -3.036319e-05 -2.846581e-05
## [96] 5.720910e-05 7.148060e-05 3.245312e-05 -2.465768e-05 -2.426061e-05
## [101] 1.092644e-05 9.624354e-06 2.866819e-05 1.914739e-05 3.819439e-05
## [106] -4.184873e-05 1.999660e-06 7.628800e-05 2.716907e-05 3.075973e-05
## [111] 2.766814e-05 1.655650e-04 1.006581e-04 7.811018e-05 -7.058652e-05
## [116] 6.671842e-05 6.682020e-05 -7.214535e-06 8.090045e-05 1.275420e-04
## [121] -1.149111e-05 4.188186e-05 8.575825e-05 -1.729418e-05 8.153758e-05
## [126] 1.005967e-04 4.067343e-05 9.633059e-06 -2.504465e-05 9.491671e-05
## [131] 8.629040e-05 1.233785e-04 5.744244e-05 6.734210e-05 1.806778e-04
## [136] 9.180826e-05 6.607198e-05 4.761031e-05 9.616857e-06 1.177970e-07
## [141] 1.432448e-05 1.916603e-05 1.253937e-04 1.066774e-04 3.749319e-05
## [146] 8.736360e-05 -6.940016e-05 7.208326e-05 1.125200e-07 3.810033e-05
## [151] 4.760117e-05 1.125237e-07 1.125507e-07 1.911184e-05 7.272099e-05
## [156] 7.150383e-05 -1.711952e-05 3.392047e-05 -5.158925e-05 2.265005e-05
## [161] 4.585426e-05 -1.520601e-06 -1.458505e-05 3.459105e-05 -3.436641e-05
## [166] 6.664964e-05 1.912335e-05 2.863089e-05 6.376167e-05 6.202818e-06
## [171] -1.957778e-05 8.743185e-05 -5.871360e-06 4.270844e-05 5.588859e-05
## [176] 2.551492e-05 -1.788708e-05 7.713147e-05 9.522892e-05 2.353421e-05
## [181] 2.574792e-05 2.605511e-05 1.081208e-07 2.348653e-05 9.166935e-05
## [186] 7.609669e-05 4.415329e-05 -3.165418e-06 3.611253e-05 6.921283e-05
## [191] 1.077955e-07 7.881618e-06 -9.396821e-06 -3.198719e-05 6.738416e-05
## [196] 5.195063e-05 1.082221e-07 1.221217e-07 -7.851107e-05 -5.265635e-07
## [201] 5.480763e-05 2.693085e-05 -1.286716e-05 8.576772e-05 8.576749e-05
## [206] 1.323260e-07 -1.624890e-05 -5.900453e-06 4.423453e-05 3.042894e-05
## [211] -4.082922e-05 -4.083061e-05 1.742906e-05 4.424751e-05 -1.367821e-05
## [216] 3.218222e-05 5.425454e-05 8.208957e-05 1.743541e-05 3.474032e-05
## [221] -1.717217e-05 3.292171e-05 1.325770e-07 5.729588e-05 2.871529e-05
## [226] 1.325876e-07 -6.045344e-05 -7.624501e-07 7.408212e-05 -8.524371e-06
## [231] 1.325974e-07 6.939419e-05 6.888474e-05 4.953395e-05 2.873583e-05
## [236] -9.402401e-06 -3.801155e-05 1.309418e-05 -1.449075e-05 8.674545e-05
## [241] 5.210342e-05 -3.803131e-05 5.382577e-05 2.737740e-05 9.680034e-06
## [246] 3.301739e-05 1.143271e-04 1.244241e-05 -2.148734e-05 1.808651e-05
## [251] 1.386683e-05 4.316176e-05 -4.926144e-06 1.816474e-05 5.628257e-05
## [256] -8.057513e-05 -1.812394e-05 1.055445e-07 9.167228e-06 9.671302e-06
## [261] 1.923800e-05 4.793932e-05 1.056024e-07 1.056310e-07 1.056591e-07
## [266] 1.056864e-07 2.104545e-05 5.371064e-05 -2.459483e-05 1.564995e-05
## [271] -2.861467e-05 1.058165e-07 3.422169e-05 -1.143156e-06 1.745425e-05
## [276] -2.501554e-05 7.097243e-05 -7.983701e-05 1.655415e-05 3.481233e-05
## [281] -9.475570e-06 -1.709453e-06 1.100083e-05 -9.477848e-06 5.036431e-05
## [286] 3.896204e-05 7.244728e-05 -5.877411e-05 -4.329116e-05 4.077200e-05
## [291] 2.110143e-05 -2.607834e-05 1.746926e-05 2.934318e-05 1.563930e-05
## [296] 3.994882e-05 3.483575e-05 -6.068735e-05 8.491920e-08 -8.102974e-06
## [301] -4.631719e-05 -9.520248e-06 -1.912672e-05 1.489532e-05 1.730837e-06
## [306] 1.745747e-05 3.482927e-05 1.745906e-05 5.111015e-05 -2.888002e-05
## [311] -1.230483e-05 -1.060236e-04 3.050870e-05 -3.033917e-05 3.484295e-05
## [316] -3.467398e-05 8.565896e-08 4.948589e-05 -1.729688e-05 5.223470e-05
## [321] 6.673787e-06 4.290705e-05 1.747193e-05 8.594449e-08 8.597349e-08
## [326] 8.600289e-08 -1.730334e-05 1.747676e-05 -2.957043e-05 -6.087767e-05
## [331] 8.782645e-06 8.783051e-06 8.616270e-08 8.619215e-08 8.622121e-08
## [336] 8.624936e-08 8.627843e-08 3.305330e-05 5.200720e-05 8.627351e-08
## [341] -1.634727e-05 -1.619501e-05 6.970096e-05 -1.731823e-05 5.033326e-06
## [346] 1.162971e-05 1.749543e-05 -6.083690e-05 9.098058e-08 9.101033e-08
## [351] 9.103945e-08 9.106766e-08 -1.475511e-05 5.149991e-05 2.903699e-05
## [356] 1.973674e-06 -1.310877e-05 -3.209076e-06 -1.732715e-05 -9.810436e-06
## [361] -6.510060e-06 3.493351e-05 9.128316e-08 1.824795e-05 1.494673e-05
## [366] 9.138500e-08 -8.537714e-07 -7.079689e-06 -1.641798e-05 9.162952e-08
## [371] 9.165311e-08 1.660396e-05 9.172306e-08 9.175233e-08 9.178161e-08
## [376] 9.181129e-08 9.184058e-08 1.752695e-05 -1.642530e-05 1.661087e-05
## [381] -1.734535e-05 2.982867e-05 1.991763e-05 -4.350833e-05 9.207980e-08
## [386] 6.618834e-05 -1.823999e-05 1.944434e-05 -1.926153e-05 1.925953e-06
## [391] 7.427732e-06 -9.586640e-06 1.926573e-06 -1.741881e-06 -2.895311e-05
## [396] 1.945814e-05 -1.366903e-05 -1.367861e-05 4.467181e-05 -2.096066e-05
##
## $p_mid
## [1] 3.013918 4.017749 5.021523 6.025241 7.028902 8.032512
## [7] 9.063929 10.123152 11.154454 12.157825 13.161129 14.164381
## [13] 15.167577 16.170715 17.173791 18.176816 19.179784 20.182690
## [19] 21.185528 22.188325 23.191066 24.193738 25.224212 26.282463
## [25] 27.312817 28.315257 29.317634 30.319961 31.322230 32.324443
## [31] 33.326599 34.328698 35.330740 36.332709 37.334620 38.336503
## [37] 39.366148 40.423551 41.453062 42.454690 43.456261 44.457769
## [43] 45.459232 46.460632 47.461981 48.463273 49.464503 50.465665
## [49] 51.494560 52.551240 53.580055 54.580984 55.581868 56.582689
## [55] 57.583453 58.584160 59.584804 60.585392 61.585923 62.586397
## [61] 63.614602 64.670536 65.698630 66.698877 67.699044 68.699161
## [67] 69.699226 70.699234 71.699191 72.699091 73.698928 74.726472
## [73] 75.781728 76.809156 77.808761 78.808303 79.807778 80.807212
## [79] 81.806589 82.805892 83.805150 84.832102 85.886747 86.913577
## [85] 87.912602 88.911559 89.910459 90.909307 91.908094 92.906828
## [91] 93.933232 94.987339 96.013624 97.012104 98.010555 99.008937
## [97] 100.007257 101.005515 102.003727 103.029604 104.083140 105.108891
## [103] 106.106859 107.104775 108.102629 109.100437 110.098194 111.095861
## [109] 112.121180 113.174167 114.199382 115.196832 116.194226 117.191557
## [115] 118.188830 119.186047 120.210905 121.263395 122.288130 123.285102
## [121] 124.282001 125.278872 126.275707 127.272463 128.269146 129.293466
## [127] 130.345407 131.369596 132.366051 133.362449 134.358791 135.355075
## [133] 136.378972 137.430482 138.454244 139.450279 140.446285 141.442228
## [139] 142.438102 143.433920 144.457338 145.508350 146.531644 147.527224
## [145] 148.522752 149.518211 150.513614 151.536617 152.587194 153.610074
## [151] 154.605250 155.600351 156.595407 157.590406 158.612979 159.663131
## [157] 160.685579 161.680339 162.675054 163.669706 164.664289 165.686438
## [163] 166.736166 167.758198 168.752549 169.746842 170.741073 171.735253
## [169] 172.756985 173.806271 174.827892 175.821838 176.815717 177.809544
## [175] 178.830915 179.879828 180.901077 181.894677 182.888225 183.881688
## [181] 184.902683 185.951233 186.972127 187.965362 188.958535 189.951657
## [187] 190.944732 191.965320 193.013429 194.033895 195.026715 196.019501
## [193] 197.012224 198.032439 199.080180 200.100287 201.092754 202.085175
## [199] 203.077540 204.097405 205.144772 206.164519 207.156645 208.148708
## [205] 209.140719 210.160224 211.207201 212.226581 213.218376 214.210092
## [211] 215.229284 216.275972 217.295052 218.286529 219.277955 220.269317
## [217] 221.288156 222.334469 223.353188 224.344312 225.335379 226.353922
## [223] 227.399924 228.418331 229.409159 230.399930 231.390649 232.408835
## [229] 233.454469 234.472518 235.462987 236.453405 237.471281 238.516604
## [235] 239.534359 240.524544 241.514666 242.532234 243.577245 244.594696
## [241] 245.584584 246.574416 247.591681 248.636375 249.653521 250.643113
## [247] 251.632649 252.649622 253.694005 254.710823 255.700131 256.689387
## [253] 257.706044 258.750126 259.766665 260.755671 261.744619 262.760975
## [259] 263.804734 264.820961 265.809677 266.798340 267.814396 268.857849
## [265] 269.873791 270.862199 271.850549 272.866305 273.909447 274.925080
## [271] 275.913192 276.901246 277.916704 278.959539 279.974869 280.962695
## [277] 281.977893 283.020484 284.035580 285.023157 286.010676 287.025580
## [283] 288.067854 289.082635 290.069926 291.057161 292.071761 293.113718
## [289] 294.128194 295.115189 296.129543 297.171262 298.185497 299.172252
## [295] 300.186361 301.227819 302.241811 303.228333 304.214798 305.228603
## [301] 306.269755 307.283441 308.269667 309.283235 310.324132 311.337562
## [307] 312.323554 313.309495 314.322754 315.363345 316.376480 317.362182
## [313] 318.375196 319.415514 320.428412 321.413880 322.426655 323.466741
## [319] 324.479389 325.464617 326.477136 327.516961 328.529383 329.514366
## [325] 330.526650 331.566231 332.578399 333.563143 334.575179 335.614516
## [331] 336.626437 337.610948 338.622743 339.661826 340.673486 341.657746
## [337] 342.669321 343.708165 344.719592 345.703629 346.714941 347.753518
## [343] 348.764708 349.748500 350.759562 351.797896 352.808835 353.792394
## [349] 354.803229 355.841319 356.852006 357.835314 358.845895 359.883724
## [355] 360.894172 361.877263 362.887606 363.925180 364.935387 365.945532
## [361] 366.982918 367.992949 368.975602 369.985485 371.022639 372.032442
## [367] 373.014872 374.024531 375.061413 376.070950 377.053152 378.062565
## [373] 379.099197 380.108492 381.117719 382.154170 383.163270 384.145021
## [379] 385.154020 386.190232 387.199094 388.207901 389.243909 390.252587
## [385] 391.233950 392.242508 393.278255 394.286693 395.267817 396.276133
## [391] 397.311630 398.319832 399.327962 400.363261 401.371274 402.351976
## [397] 403.359859 404.394920 405.402689 406.410391
## Warning in gsw_Nsquared(binSA_2, binCT_2, binp_2, Lat): gsw_Nsquared() has some NA inputs ... these are not handled well
## $N2
## [1] 2.141482e-03 4.100821e-04 4.425345e-04 7.531391e-04 5.962768e-04
## [6] 5.001567e-04 3.898596e-04 1.150947e-03 6.914712e-04 2.981317e-04
## [11] 4.958619e-04 6.338610e-04 7.159984e-04 4.437821e-04 4.481088e-04
## [16] 2.846700e-03 1.064819e-03 6.676778e-04 4.550656e-04 3.609823e-04
## [21] 3.859934e-04 2.245415e-04 5.745807e-04 2.466259e-04 5.336560e-04
## [26] 2.757071e-04 1.498338e-04 8.847692e-05 1.668414e-04 2.919148e-04
## [31] -3.670561e-05 5.409163e-05 -1.458194e-05 3.879235e-05 1.052056e-04
## [36] 2.239509e-04 1.051245e-04 4.630943e-05 5.309855e-05 1.707552e-04
## [41] 4.023931e-05 1.983888e-04 2.029524e-04 -1.725537e-05 9.958338e-05
## [46] 1.045812e-04 2.564859e-04 7.197801e-05 1.906734e-04 5.417634e-05
## [51] -1.645316e-05 1.304805e-04 2.870181e-05 -3.792441e-05 3.364002e-05
## [56] 8.097394e-05 1.717970e-04 7.765237e-05 3.541584e-05 7.225148e-05
## [61] 1.396723e-04 7.334424e-05 7.719965e-05 1.426912e-04 2.657851e-04
## [66] 1.774119e-05 1.090876e-04 -9.748010e-06 1.104699e-04 -4.172431e-06
## [71] 4.212744e-05 6.634190e-05 1.440224e-04 4.107169e-04 6.053936e-05
## [76] 9.912939e-06 4.989083e-05 5.059341e-05 -6.380113e-07 3.263928e-05
## [81] -2.790113e-06 1.513631e-04 9.669825e-05 6.146469e-06 1.534590e-04
## [86] -3.408784e-05 1.850586e-04 1.159224e-04 1.916542e-04 -1.549231e-06
## [91] 1.647065e-05 4.369398e-04 -2.541500e-04 2.097806e-05 2.182489e-05
## [96] 6.931735e-05 8.853917e-06 4.586061e-05 1.423722e-04 -5.315276e-05
## [101] 4.139026e-06 9.476243e-05 -6.056103e-05 6.584294e-05 1.905870e-04
## [106] 6.045421e-05 7.225179e-06 -2.249108e-05 7.930873e-05 5.678286e-05
## [111] 1.963471e-04 1.963774e-04 2.167284e-05 -1.604954e-04 1.171964e-04
## [116] 7.007910e-05 -2.693064e-05 5.456637e-05 7.136941e-05 -1.647706e-05
## [121] -6.268141e-06 3.051183e-05 -2.371386e-06 2.944206e-05 9.995778e-05
## [126] -6.496898e-05 2.568409e-05 4.244034e-05 3.587462e-05 9.608766e-05
## [131] 5.092602e-07 -6.678748e-05 6.656221e-05 NaN NaN
## [136] 1.767409e-05 3.405081e-05 8.696834e-05 1.033026e-04 7.875452e-05
## [141] 1.177256e-05 -9.671381e-06 7.770182e-05 3.706971e-05 3.314821e-05
## [146] 6.343416e-05 1.871680e-05 -2.450990e-06 1.321864e-05 1.612653e-07
## [151] -3.012563e-05 7.384934e-05 -2.184632e-05 4.290030e-05 2.166082e-05
## [156] 6.855693e-05 6.727199e-07 3.913443e-05 2.186987e-05 -2.071475e-05
## [161] 1.382839e-04 -3.599416e-05 1.251583e-05 3.784927e-05 -2.809606e-05
## [166] 1.108148e-04 1.638596e-06 6.599534e-05 -1.072226e-05 8.680013e-06
## [171] -1.976777e-05 7.357964e-05 -2.716768e-05 3.706599e-05 4.879574e-05
## [176] 3.515519e-05 5.749466e-05 8.760780e-05 5.160693e-05 2.769633e-05
## [181] 8.556218e-06 4.435783e-05 3.682086e-05 1.319239e-05 -8.359161e-06
## [186] 8.702972e-05 7.351525e-06 3.227164e-05 1.273819e-04 1.515327e-05
## [191] 7.387549e-05 -2.544977e-05 4.233997e-05 -1.762368e-06 5.250929e-05
## [196] -1.304424e-05 1.116403e-04 1.520004e-07 -6.024217e-05 -7.690425e-07
## [201] 3.782312e-05 7.127733e-06 3.751796e-05 -6.676384e-08 6.031490e-05
## [206] -6.337381e-05 5.494766e-05 1.540705e-05 2.176735e-06 1.069818e-04
## [211] -1.862885e-05 -1.021738e-05 7.522669e-05 -8.449516e-06 1.728857e-05
## [216] -4.447464e-06 1.554877e-07 3.976754e-05 2.697349e-05 3.650560e-05
## [221] 4.458242e-05 NaN NaN NaN 4.630656e-05
## [226] 1.076283e-05 6.890889e-05 4.864394e-05 -8.162670e-05 -6.117878e-05
## [231] 5.173134e-05 7.400379e-05 -2.205376e-05 -3.316320e-05 1.735203e-05
## [236] 1.583553e-07 1.033321e-04 3.274133e-05 1.585688e-07 -1.314742e-05
## [241] -1.162182e-05 6.423658e-05 -2.524176e-05 1.629631e-05 2.881783e-05
## [246] 3.385606e-05 5.103432e-05 -5.336550e-05 1.398445e-05 1.273646e-07
## [251] -3.429033e-05 7.095285e-05 4.388059e-05 8.711255e-06 -5.558883e-05
## [256] 4.621121e-05 7.795901e-05 1.931566e-06 2.173220e-05 1.644866e-05
## [261] 2.570183e-06 1.330539e-06 3.041273e-05 -6.174513e-06 -3.633839e-05
## [266] 3.253662e-05 3.757396e-05 -4.201049e-06 -1.973128e-05 -8.190913e-06
## [271] -2.304469e-05 5.857517e-05 -2.104345e-05 -1.245698e-05 9.366538e-05
## [276] -5.394640e-05 4.161192e-05 -1.326386e-05 -7.922640e-06 8.148391e-05
## [281] -1.860130e-06 -2.124956e-05 -4.702396e-05 5.182562e-05 5.182858e-05
## [286] 7.541755e-06 -8.163742e-06 1.239248e-06 2.200391e-05 1.307025e-07
## [291] 2.399485e-05 -4.920409e-05 2.961103e-05 3.943955e-05 9.441417e-06
## [296] 2.806405e-05 -2.452970e-05 3.460615e-05 -2.696716e-05 2.203718e-05
## [301] 3.835288e-06 4.927383e-05 1.095099e-07 -8.800233e-05 -2.717039e-05
## [306] 2.477856e-05 8.637176e-05 1.098489e-07 1.287548e-05 2.387039e-05
## [311] -7.122242e-05 6.923991e-05 3.994445e-05 -2.071489e-06 2.625985e-06
## [316] 2.599682e-05 4.915982e-05 -1.143409e-04 3.579139e-05 9.856887e-05
## [321] 6.286972e-05 -2.538785e-05 2.552792e-06 -2.953911e-05 5.332429e-05
## [326] 5.430441e-05 -5.994397e-06 3.717648e-05 3.660516e-05 4.774845e-05
## [331] 1.241846e-05 3.710650e-05 3.187507e-05 -3.625827e-06 2.228531e-05
## [336] 1.738926e-05 1.113522e-07 1.113879e-07 1.464078e-05 6.607296e-05
## [341] -4.013905e-05 4.268468e-05 1.739638e-05 -8.631891e-05 8.299830e-06
## [346] 1.115012e-07 1.107377e-07 1.092988e-07 1.093061e-07 1.093418e-07
## [351] 1.093771e-07
##
## $p_mid
## [1] 3.014165 4.018079 5.021936 6.025737 7.029480 8.033172
## [7] 9.064675 10.123985 11.155371 12.158825 13.162211 14.165546
## [13] 15.168824 16.172045 17.161270 18.164377 19.181362 20.184350
## [19] 21.187270 22.190150 23.192973 24.195728 25.226286 26.284624
## [25] 27.315063 28.317585 29.320045 30.322454 31.324806 32.327101
## [31] 33.329340 34.331521 35.333646 36.335697 37.337691 38.339656
## [37] 39.369386 40.426876 41.456471 42.458181 43.459835 44.461425
## [43] 45.462971 46.464453 47.465885 48.467259 49.468571 50.469815
## [49] 51.498795 52.555562 53.584462 54.585473 55.586439 56.587342
## [55] 57.588189 58.588978 59.589705 60.590375 61.590988 62.591544
## [61] 63.619834 64.675855 65.704033 66.704363 67.704612 68.704811
## [67] 69.704958 70.705049 71.705088 72.593973 73.649441 74.649301
## [73] 75.815719 76.982099 77.815161 78.814785 79.814342 80.813858
## [79] 81.813317 82.812703 83.756526 84.894591 86.004838 86.920726
## [85] 87.892080 89.029868 90.056603 90.916785 91.915653 92.858978
## [91] 94.079644 95.272554 96.104746 97.020083 98.018616 99.017081
## [97] 100.015483 101.013823 102.012117 103.038078 104.091701 105.117537
## [103] 106.115587 107.113585 108.111521 109.109411 110.107250 111.104999
## [109] 112.130403 113.183476 114.208776 115.206308 116.203783 117.201196
## [115] 118.198552 119.195851 120.220794 121.273370 122.298189 123.295244
## [121] 124.292225 125.222713 126.219631 127.282933 128.279697 129.304102
## [127] 130.356129 131.380402 132.376939 133.373420 134.369843 135.366209
## [133] 136.390190 NaN NaN 139.517090 140.457838 141.453863
## [139] 142.449820 143.445719 144.469221 145.520320 146.543698 147.539360
## [145] 148.534969 149.530511 150.525996 151.549083 152.599746 153.622711
## [151] 154.617968 155.613151 156.608289 157.603370 158.515472 159.593349
## [157] 160.726437 161.693640 162.688436 163.683170 164.677835 165.700068
## [163] 166.749883 167.771999 168.766431 169.760807 170.755120 171.749381
## [169] 172.771197 173.820570 174.842275 175.836303 176.830263 177.824172
## [175] 178.845627 179.894627 180.915960 181.909641 182.903271 183.896815
## [181] 184.917894 185.966531 186.987509 187.980826 188.974081 189.967284
## [187] 190.960441 191.981113 193.029308 194.049859 195.042760 196.035628
## [193] 197.028432 198.011976 199.059803 200.116749 201.109298 202.101801
## [199] 203.094247 204.114197 205.161650 206.181481 207.173688 208.165833
## [205] 209.157926 210.177515 211.202535 212.222000 213.235919 214.227716
## [211] 215.246992 216.293766 217.312930 218.304489 219.295996 220.287440
## [217] 221.306362 222.352762 223.371565 224.362770 225.298859 NaN
## [223] NaN NaN 229.455562 230.418887 231.409688 232.427957
## [229] 233.473677 234.491810 235.482360 236.472860 237.490820 238.536229
## [235] 239.554068 240.544334 241.534537 242.552189 243.597286 244.614821
## [241] 245.604791 246.594704 247.612053 248.656833 249.674063 250.663737
## [247] 251.653353 252.670411 253.714879 254.731782 255.721171 256.710508
## [253] 257.727248 258.688988 259.733088 260.804603 261.683744 262.727652
## [259] 263.853909 264.842752 265.831548 266.820294 267.836433 268.879972
## [265] 269.895997 270.884487 271.872919 272.888758 273.931986 274.947703
## [271] 275.935896 276.924032 277.939572 278.982493 279.997907 280.985815
## [277] 282.001096 283.043773 284.058953 285.046610 286.034211 287.049199
## [283] 288.091559 289.106423 290.093796 291.081111 292.095795 293.137838
## [289] 294.152398 295.139474 296.153911 297.195716 298.210034 299.196872
## [295] 300.211064 301.252607 302.266682 303.253286 304.239832 305.253721
## [301] 306.294959 307.308728 308.295036 309.308687 310.349670 311.363183
## [307] 312.349256 313.335278 314.348621 315.389297 316.402516 317.388299
## [313] 318.401396 319.441800 320.454781 321.440330 322.453189 323.493361
## [319] 324.506092 325.491402 326.504003 327.543914 328.556419 329.541484
## [325] 330.553851 331.593518 332.605769 333.590594 334.602713 335.642136
## [331] 336.654141 337.638732 338.650611 339.689779 340.701523 341.685864
## [337] 342.697522 343.736452 344.857310 345.841428 346.743475 347.782138
## [343] 348.793411 349.777285 350.788430 351.826849 352.837871 353.821511
## [349] 354.832430 355.870605 356.881376
##
## $N2
## [1] 4.180904e-04 1.276288e-04 4.214877e-05 8.546115e-06 9.246237e-05
## [6] 9.199836e-05 1.086999e-04 9.746098e-05 1.224502e-04 1.215846e-04
## [11] 4.950962e-05 1.537443e-04 8.354167e-05 1.278170e-04 1.416680e-04
## [16] 7.433456e-05 1.799511e-04 8.617053e-05 7.749992e-05 9.028466e-05
## [21] 7.929260e-05 8.531620e-06 8.650382e-05 1.276224e-04 8.712847e-05
## [26] 5.640932e-04 7.141584e-04 5.843233e-04 4.091881e-04 7.238582e-04
## [31] 4.238182e-04 8.624479e-04 1.813586e-04 7.097725e-04 4.099061e-05
## [36] 6.067255e-04 4.556116e-04 1.668966e-05 1.442928e-05 4.675060e-04
## [41] 6.025419e-04 -1.492109e-04 6.938835e-05 3.721227e-04 1.410011e-04
## [46] 1.645815e-04 2.257449e-04 9.958808e-05 -1.777427e-04 7.336253e-04
## [51] -3.342833e-05 8.863406e-05 9.961985e-05 2.736130e-05 6.303063e-05
## [56] 3.671489e-05 1.920887e-04 6.445239e-06 4.186060e-05 -7.242673e-05
## [61] 9.234146e-05 -2.440551e-05 3.013655e-05 -3.012103e-05 3.729943e-05
## [66] 2.503907e-05 7.517606e-05 1.477817e-05 6.901859e-05 6.325613e-05
## [71] 2.520170e-05 3.017047e-04 -2.177336e-04 -3.013146e-05 1.447844e-04
## [76] 5.692447e-05 6.663013e-05 -1.481582e-05 -7.075783e-05 2.184094e-04
## [81] 2.810865e-05 -3.582682e-05 1.559583e-04 -1.363789e-05 2.286514e-05
## [86] 1.259766e-04 -9.022058e-05 8.532819e-05 2.514871e-06 1.766872e-05
## [91] 4.494600e-05 3.112078e-05 -3.508138e-07 1.822741e-04 1.221572e-04
## [96] 5.402893e-05 -2.529061e-05 -5.387252e-05 5.859128e-05 3.520784e-05
## [101] 2.860569e-05 -5.412184e-05 8.478770e-05 1.146421e-04 1.995809e-05
## [106] 1.701670e-04 -5.195308e-05 1.648762e-04 -5.136686e-05 2.844562e-06
## [111] 5.301510e-05 1.736740e-05 -4.614645e-05 -2.157939e-05 9.033034e-05
## [116] -5.822810e-05 3.902079e-05 3.490153e-05 1.020063e-05 6.566041e-05
## [121] 8.131602e-06 9.565264e-06 -1.732297e-06 1.194392e-04 1.278347e-04
## [126] -6.186180e-05 -3.917029e-05 1.366741e-04 1.106640e-04 -4.735125e-05
## [131] 5.304487e-05 -1.077910e-04 1.094070e-04 1.436849e-05 7.390646e-05
## [136] -2.758133e-05 6.784037e-05 2.714619e-05 1.441815e-04 1.235421e-04
## [141] -4.810817e-05 4.857313e-05 -4.284266e-05 5.619168e-05 -1.802515e-05
## [146] 1.008137e-04 -4.347605e-05 9.439912e-05 -2.396519e-05 -4.069009e-05
## [151] -3.794615e-05 1.323843e-04 4.227681e-05 7.563172e-05 2.114559e-05
## [156] -1.028678e-05 4.619672e-05 2.522239e-05 6.680541e-05 4.039674e-05
## [161] -1.313663e-05 -2.034672e-06 3.927822e-05 -3.435246e-06 -7.431297e-06
## [166] 3.937811e-05 4.584192e-05 4.082647e-05 5.623821e-05 -4.857001e-05
## [171] 8.916399e-06 8.494333e-05 1.419957e-05 6.225358e-05 6.234305e-06
## [176] -3.882832e-06 -2.411440e-05 2.692732e-05 1.004930e-04 -3.589320e-05
## [181] 4.879214e-05 7.576049e-06 9.104226e-05 7.391128e-06 1.381647e-05
## [186] -5.662091e-05 -1.913699e-05 5.450806e-05 4.251383e-06 6.113066e-05
## [191] 4.573385e-05 -1.962018e-06 -3.530527e-05 -3.745925e-06 6.745364e-05
## [196] 3.243183e-05 3.126826e-05 7.416455e-05 -3.425714e-05 5.810910e-05
## [201] 4.522679e-05 2.280817e-06 -5.147062e-05 3.572074e-05 1.408451e-05
## [206] 3.570479e-05 -6.992027e-06 5.604686e-05 2.694045e-05 -1.929278e-05
## [211] 2.042608e-05 -7.565079e-06 3.935350e-05 3.525809e-05 -1.108040e-06
## [216] -3.684298e-05 2.177781e-05 -6.446035e-07 1.295035e-05 6.072306e-05
## [221] 1.439199e-04 -8.203075e-05 -1.151725e-05 5.902995e-05 3.354644e-05
## [226] 1.177302e-04 -2.583808e-05 -7.212007e-05 7.183761e-05 6.718094e-06
## [231] 4.745415e-05 1.738145e-05 -3.366292e-05 7.708162e-05 -1.748230e-05
## [236] -2.767207e-05 3.637337e-05 1.266719e-05 5.582528e-05 2.549650e-06
## [241] 1.998462e-05 -2.986605e-05 2.233159e-05 2.519057e-05 -2.766133e-05
## [246] 2.617493e-06 9.274075e-05 -1.725470e-06 -1.463239e-04 2.023645e-04
## [251] -1.551205e-05 1.668312e-05 3.116525e-05 3.356509e-05 -3.068932e-05
## [256] -8.488697e-06 3.816799e-05 4.345472e-05 4.414697e-05 -6.591264e-06
## [261] -2.910085e-05 5.410229e-05 -1.694921e-05 1.646555e-05 4.962726e-05
## [266] -1.859963e-05 -1.524004e-05 2.357380e-05 1.267877e-07 2.562009e-05
## [271] -1.639179e-05 1.963556e-05 3.709239e-05 1.271604e-07 -7.777372e-06
## [276] -2.133083e-06 4.847307e-05 4.392246e-05 -3.213658e-05 1.270771e-07
## [281] -2.802191e-05 1.836462e-05 6.485785e-05 -4.350713e-05 -4.874074e-05
## [286] 5.129186e-05 4.867721e-05 -5.176921e-05 1.159366e-04 -3.401344e-05
## [291] 1.083724e-06 2.696183e-05 1.064696e-05 -2.453796e-07 2.739695e-05
## [296] -5.045042e-06 1.489830e-04 -9.815627e-05 -5.049709e-05 2.591774e-05
## [301] 1.167047e-04 -6.897019e-05 9.757437e-06 -7.061905e-06 -4.016362e-05
## [306] 2.873206e-05 3.689556e-05 -5.708855e-05 6.946638e-05 5.886037e-05
## [311] -6.876718e-05 1.244282e-07 3.602471e-05 -1.047814e-05 -2.097685e-05
## [316] -5.370868e-05 3.397893e-05 9.876025e-06 -2.918574e-05 1.477926e-05
## [321] 1.026668e-04 -1.162607e-04 -2.963222e-05 5.910542e-05 -2.070822e-05
## [326] 4.133599e-05 3.273308e-05 7.870260e-06 6.512025e-05 -3.967345e-05
## [331] 4.185809e-05 -4.904268e-06 1.016441e-05 -6.765373e-05 -4.371761e-06
## [336] 7.664640e-06 -1.515824e-06 1.326021e-04 -8.369144e-05 -9.125099e-06
## [341] 3.224746e-06 1.991818e-05 1.510642e-05 1.000432e-05 2.463915e-07
## [346] 2.255350e-06 -5.003830e-06 3.454219e-05 1.039937e-06 1.926267e-05
## [351] -3.714926e-05 -1.230700e-05 2.606905e-05 -2.822675e-05 1.037970e-04
## [356] 7.494608e-06 -3.073755e-06 -1.486636e-05 -1.035857e-04 2.959500e-05
## [361] 6.190758e-05 -9.997160e-06 -2.411860e-06 7.218438e-05 -3.918861e-05
## [366] 1.740948e-05 -1.106063e-05 -3.181324e-05 4.821472e-05 -1.247464e-07
## [371] 9.257013e-06 4.089174e-05 -5.173701e-05 3.917897e-05 -2.048990e-05
## [376] 3.071067e-05 -2.046289e-05 9.306143e-06 2.677425e-05 -3.926249e-06
## [381] -1.887327e-05 -2.972418e-05 7.132939e-05 5.024161e-05 -6.818156e-05
## [386] 3.154097e-05 -9.738642e-06 1.264482e-05 -5.429301e-06 4.169757e-05
## [391] -2.695350e-05 1.796153e-05 2.072444e-05 1.133174e-05 5.876397e-05
## [396] 1.203839e-06 -9.182183e-06 -1.667779e-05 6.941987e-05 -3.146637e-05
## [401] -1.505134e-05 1.079114e-07 2.802283e-05 4.039654e-05 -2.463604e-05
## [406] -3.191570e-05 8.914797e-05 -1.229496e-05 4.596904e-05 -3.716205e-05
## [411] 7.737348e-05 -3.823402e-05 -8.565118e-06 1.728529e-05 4.995792e-05
## [416] 1.003628e-05 -6.120224e-05 -2.195289e-05 1.003840e-05 1.908682e-05
## [421] 2.794771e-05 -5.182740e-05 2.637194e-05 -4.915101e-07 9.081857e-05
## [426] -6.588888e-05 3.378307e-05 2.040368e-05 3.565996e-05 9.057325e-05
## [431] -5.879061e-05 -3.445584e-05 -2.769151e-05 3.965470e-05 -2.220217e-05
## [436] -2.153230e-04 2.925065e-04 6.562363e-05 -5.471648e-05 7.598299e-06
## [441] -3.154688e-06 1.442653e-05 4.430638e-08 5.066569e-05 -2.247557e-05
## [446] -6.360326e-06 1.578179e-05 -6.189638e-05 1.833669e-05 3.068931e-05
## [451] 2.751807e-04 -1.108746e-04 -8.866040e-05 -3.164966e-06 9.189202e-05
## [456] -5.125597e-05 -3.425733e-05 -7.047815e-05 1.561210e-05 4.166859e-05
## [461] 5.212271e-06 -3.516727e-05 5.795894e-05 9.161776e-06 3.785534e-05
## [466] 5.424577e-07 -7.434466e-06 5.104985e-05 -8.124649e-05 1.920360e-04
## [471] -7.163365e-05 3.123288e-05 1.977520e-05 -5.565397e-05 -3.430682e-05
## [476] 5.475380e-05 4.909364e-05 -4.291041e-05 -2.208728e-05 4.786591e-05
## [481] 9.284309e-06 -1.890219e-04 1.377631e-04 -2.613643e-05 -6.065438e-05
## [486] 1.071824e-04 5.981266e-05 -3.817587e-05 -6.620539e-07 -9.705157e-06
## [491] -8.034768e-06 4.020349e-05 5.299268e-05 -3.473743e-05 1.929528e-06
## [496] 3.184458e-05 2.513057e-05 -3.369961e-05 1.720959e-05 1.140403e-05
## [501] 3.309153e-05 -5.823198e-05 6.984628e-06 2.587379e-05 -1.105997e-04
## [506] 8.380208e-05 3.798252e-05 1.166638e-05 -1.446776e-05 1.004995e-05
## [511] -3.395498e-06 -7.070117e-05 1.026460e-04 -1.760748e-05 3.183736e-05
## [516] 1.677767e-05 5.979079e-06 -1.322527e-05 -2.240680e-05 -3.209981e-05
## [521] 1.189822e-04 -1.491586e-05 -3.479929e-06 9.855379e-06 -3.237669e-05
## [526] 4.179172e-05 -9.386093e-06 2.104483e-05 -7.868031e-06 -5.668465e-05
## [531] 5.333803e-05 -1.950289e-05 4.898532e-05 -1.225084e-05 2.161517e-05
## [536] 4.296777e-05 -2.085477e-05 1.197218e-05 2.563465e-05 2.689240e-05
## [541] -1.735833e-05 -2.308246e-05 -2.465581e-05 1.642829e-05 1.009503e-05
## [546] 4.387779e-06 8.090882e-05 -3.310809e-05 -1.072403e-05 2.615266e-05
## [551] -3.110507e-05 1.224922e-04 -5.230060e-05 -1.759322e-06 -5.896724e-05
## [556] 2.185829e-05 1.853288e-06 3.262657e-05 7.268825e-05 6.114958e-06
## [561] -1.536322e-05 5.299903e-06 5.265080e-05 -4.337299e-05 1.750296e-05
## [566] 6.272218e-05 2.513232e-05 -5.841068e-05 5.186489e-05 -1.185677e-04
## [571] 3.924979e-05 2.642972e-05 2.010947e-05 -1.757381e-05 6.835600e-08
## [576] 6.838615e-08 1.677921e-05 1.487369e-05 2.019149e-06 -1.603740e-06
## [581] 1.846099e-05 8.410148e-06 8.409148e-06 -2.839503e-05 1.421266e-05
## [586] 5.885676e-05 -2.513899e-05 -3.070775e-06 -7.104008e-07 6.217359e-05
## [591] 5.537239e-05 1.203445e-05 -8.306816e-06 -1.012186e-05 2.671953e-05
## [596] -8.131494e-06 -1.236456e-05 6.628019e-05 -5.636708e-06 9.329676e-06
## [601] 3.696300e-05 -7.319684e-05 7.767147e-05 -1.533557e-06 2.507649e-05
## [606] -1.503117e-05 -7.087876e-05 1.962207e-05 2.586997e-05 2.402494e-05
## [611] -2.292032e-05 3.655253e-05 -1.189380e-05 -3.709825e-05 2.939013e-05
## [616] 2.877354e-05 8.394450e-06 5.637851e-08 9.322507e-06 9.837829e-06
## [621] 1.803248e-05 -3.405496e-06 -8.555740e-05 1.100399e-05 3.239440e-05
## [626] 2.508447e-05 5.637849e-08 5.640697e-08 5.643585e-08 5.646523e-08
## [631] 9.329998e-06 2.416891e-05 3.159106e-05 1.860710e-05 -1.674276e-05
## [636] -3.541068e-05 -2.435557e-05 -3.170611e-05 3.418916e-05 -1.464222e-05
## [641] -2.588080e-05 3.417768e-06 -3.542431e-05 2.511614e-05 3.068713e-05
## [646] 6.789762e-06 5.428287e-05 -1.008184e-04 7.116879e-05 2.774461e-05
## [651] 2.522771e-05 -2.749474e-05 -1.887119e-05 1.438438e-05 4.584665e-06
## [656] 8.298300e-06 -1.234857e-05 1.739682e-05 7.355567e-05 -2.763436e-05
## [661] 2.040820e-05 -1.509305e-05 5.547825e-08 5.550649e-08 -4.202992e-05
## [666] -3.361542e-05 5.556002e-08 8.414504e-06 1.782237e-05 -2.607254e-05
## [671] 5.567563e-08 8.417621e-06 6.428282e-05 -5.636876e-06 -1.802827e-06
## [676] -2.937459e-05 4.495912e-05 -1.185940e-07 -1.493274e-05 1.504467e-05
## [681] -1.493371e-05 3.364324e-05 2.870338e-05 -5.474359e-05 3.969288e-05
## [686] 1.185326e-05 -4.208259e-05 -4.208303e-05 4.219736e-05
##
## $p_mid
## [1] 3.014057 4.017935 5.021756 6.025520 7.029228 8.032884
## [7] 9.064350 10.123622 11.154971 12.158389 13.161739 14.165038
## [13] 15.168280 16.171465 17.174588 18.177659 19.180674 20.183626
## [19] 21.186510 22.189354 23.192141 24.194860 25.225382 26.283682
## [25] 27.314083 28.316570 29.318994 30.321367 31.323683 32.325942
## [31] 33.328144 34.330290 35.332378 36.334393 37.336351 38.338281
## [37] 39.367974 40.425426 41.454984 42.456658 43.458276 44.459831
## [43] 45.461340 46.462787 47.464182 48.465521 49.466797 50.245537
## [49] 51.274480 52.553677 53.582540 54.583515 55.584445 56.585313
## [55] 57.586123 58.586876 59.587567 60.588202 61.588779 62.589299
## [61] 63.617552 64.673535 65.701677 66.701970 67.702184 68.702347
## [67] 69.702458 70.702512 71.702516 72.702462 73.702346 74.729938
## [73] 75.785242 76.812718 77.812370 78.811958 79.811479 80.783197
## [79] 81.782620 82.809732 83.809036 84.836037 85.890730 86.917608
## [85] 87.916679 88.915682 89.914629 90.913523 91.912356 92.911137
## [91] 93.937589 94.991745 96.018077 97.016603 98.015100 99.013529
## [97] 100.011895 101.010199 102.008457 103.034382 104.087967 105.113766
## [103] 106.111780 107.109743 108.107643 109.105497 110.103301 111.101013
## [109] 112.126380 113.179416 114.204679 115.202175 116.199615 117.196992
## [115] 118.194312 119.191575 120.216481 121.269019 122.293801 123.290820
## [121] 124.287766 125.284682 126.281564 127.278366 128.275095 129.299463
## [127] 130.351452 131.375689 132.372190 133.368635 134.365022 135.361353
## [133] 136.385297 137.436857 138.460666 139.456747 140.452799 141.448788
## [139] 142.444709 143.440573 144.464038 145.515099 146.538441 147.534066
## [145] 148.529640 149.525146 150.520595 151.543646 152.594271 153.617199
## [151] 154.612421 155.607568 156.602670 157.597715 158.620336 159.670537
## [157] 160.693032 161.687839 162.682599 163.677297 164.671927 165.694123
## [163] 166.743900 167.765980 168.760376 169.754716 170.748993 171.743219
## [169] 172.764998 173.814333 174.836001 175.829994 176.823918 177.817792
## [175] 178.839210 179.888172 180.909468 181.903114 182.896708 183.890217
## [181] 184.911259 185.959859 186.980800 187.974081 188.967300 189.960468
## [187] 190.953590 191.974225 193.022382 194.042896 195.035762 196.028594
## [193] 197.021363 198.041625 199.089415 200.109569 201.102082 202.094550
## [199] 203.086960 204.106873 205.154289 206.174083 207.166254 208.158363
## [205] 209.150421 210.169973 211.216999 212.236426 213.228267 214.220029
## [211] 215.239268 216.286005 217.305133 218.296656 219.288127 220.279536
## [217] 221.298421 222.344784 223.363550 224.354720 225.345832 226.364423
## [223] 227.410474 228.428928 229.419802 230.410618 231.401384 232.419617
## [229] 233.465299 234.483395 235.473910 236.464374 237.482298 238.527669
## [235] 239.545472 240.535702 241.525870 242.543485 243.588545 244.606043
## [241] 245.595978 246.585855 247.603167 248.647910 249.665103 250.654741
## [247] 251.644323 252.661344 253.712645 254.729511 255.711994 256.701296
## [253] 257.718000 258.762130 259.778717 260.767768 261.756763 262.773166
## [259] 263.816973 264.833248 265.822009 266.810718 267.826821 268.870323
## [265] 269.886312 270.874765 271.863162 272.878965 273.922155 274.937836
## [271] 275.925993 276.914093 277.929598 278.972481 279.987859 280.975731
## [277] 281.990976 283.033616 284.048759 285.036381 286.023946 287.038897
## [283] 288.081219 289.096048 290.083385 291.070665 292.085312 293.127318
## [289] 294.141841 295.128882 296.143283 297.185050 298.199332 299.186134
## [295] 300.200289 301.241796 302.255834 303.242402 304.228913 305.242766
## [301] 306.283966 307.297699 308.283971 309.297586 310.338531 311.352008
## [307] 312.338046 313.324032 314.337339 315.377978 316.391160 317.376907
## [313] 318.389968 319.430335 320.443280 321.428794 322.441616 323.481750
## [319] 324.494445 325.479719 326.492285 327.532158 328.544627 329.529656
## [325] 330.541987 331.581616 332.593831 333.578621 334.590704 335.630089
## [331] 336.642057 337.626614 338.638456 339.677587 340.689295 341.673600
## [337] 342.685222 343.724114 344.735588 345.719671 346.731029 347.769655
## [343] 348.780892 349.764730 350.775839 351.814221 352.825207 353.808811
## [349] 354.819694 355.857832 356.868566 357.851920 358.862547 359.900424
## [355] 360.910919 361.894056 362.904446 363.942068 364.952322 365.962514
## [361] 366.999948 368.010026 368.992724 370.002654 371.039856 372.049706
## [367] 373.032182 374.041888 375.078818 376.088403 377.070650 378.080109
## [373] 379.116789 380.126132 381.135406 382.171904 383.181051 384.162848
## [379] 385.171894 386.208154 387.217063 388.225917 389.261973 390.270698
## [385] 391.252107 392.260712 393.296507 394.304992 395.286161 396.294524
## [391] 397.330069 398.338318 399.346494 400.381841 401.389901 402.370649
## [397] 403.378579 404.413687 405.421504 406.429252 407.464162 408.471791
## [403] 409.479351 410.514074 411.521521 412.501664 413.508975 414.543470
## [409] 415.550666 416.557793 417.592084 418.599094 419.578826 420.585717
## [415] 421.619758 422.626526 423.633232 424.667080 425.673658 426.680169
## [421] 427.713830 428.720233 429.699366 430.705641 431.739051 432.745201
## [427] 433.751285 434.784503 435.790473 436.796378 437.829408 438.835194
## [433] 439.840912 440.873733 441.879318 442.857692 443.863176 444.895763
## [439] 445.901122 446.906413 447.938808 448.943977 449.949076 450.981278
## [445] 451.986264 452.991182 454.023197 455.028010 456.032757 457.064567
## [451] 458.069165 459.073715 460.105355 461.109786 462.114154 463.145600
## [457] 464.149843 465.154019 466.185278 467.189343 468.166199 469.170136
## [463] 470.201151 471.204959 472.208703 473.239524 474.243150 475.246706
## [469] 476.277335 477.280783 478.284162 479.314592 480.317848 481.321049
## [475] 482.351291 483.354367 484.357389 485.387438 486.390311 487.393134
## [481] 488.423007 489.425708 490.428342 491.458011 492.487628 493.517183
## [487] 494.519573 495.521899 496.551255 497.553469 498.555611 499.584774
## [493] 500.586796 501.588748 502.617724 503.619565 504.621334 505.650110
## [499] 506.651765 507.653365 508.681960 509.683418 510.684819 511.713231
## [505] 512.741591 513.769857 514.770994 515.772090 516.800174 517.801145
## [511] 518.802057 519.829953 520.830738 521.831455 522.859158 523.859762
## [517] 524.860300 525.887815 526.915283 527.942662 528.942929 529.943157
## [523] 530.970360 531.970468 532.970500 533.997498 534.997415 535.997278
## [529] 537.024099 538.050847 539.077527 540.077145 541.076698 542.103185
## [535] 543.102606 544.101963 545.128267 546.154508 547.180682 548.179788
## [541] 549.178839 550.204825 551.203752 552.202623 553.228416 554.254134
## [547] 555.279808 556.278430 557.276968 558.302442 559.300879 560.299247
## [553] 561.324529 562.349750 563.374912 564.373031 565.371081 566.396044
## [559] 567.420951 568.445778 569.443561 570.441319 571.465981 572.490563
## [565] 573.515083 574.512577 575.510010 576.534341 577.558610 578.582805
## [571] 579.579983 580.577099 581.601113 582.598110 583.595051 584.618871
## [577] 585.642612 586.666301 587.662988 588.659608 589.683110 590.706541
## [583] 591.729906 592.753215 593.776461 594.772707 595.768891 596.791949
## [589] 597.814934 598.837850 599.833795 600.829665 601.852387 602.875057
## [595] 603.897655 604.893283 605.888853 606.911262 607.933603 608.955882
## [601] 609.951199 610.946458 611.968560 612.990576 614.012525 615.034423
## [607] 616.056253 617.051128 618.045942 619.067578 620.089152 621.110674
## [613] 622.132126 623.153501 624.147939 625.142333 626.163536 627.184648
## [619] 628.205693 629.199825 630.193899 631.214767 632.235579 633.256328
## [625] 634.276998 635.297610 636.291306 637.284933 638.305357 639.325708
## [631] 640.345990 641.366229 642.386397 643.406494 644.426532 645.419657
## [637] 646.412725 647.432575 648.452347 649.472054 650.491705 651.511287
## [643] 652.503981 653.496624 654.516029 655.535344 656.554597 657.573805
## [649] 658.592943 659.612015 660.631011 661.623130 662.615204 663.634023
## [655] 664.652775 665.671463 666.690083 667.708646 668.727144 669.745560
## [661] 670.763916 671.782217 672.773655 673.765030 674.783144 675.801184
## [667] 676.819150 677.837059 678.854911 679.872698 680.890419 681.908068
## [673] 682.925664 683.943187 684.960641 685.951268 686.941828 687.959099
## [679] 688.976292 689.993426 691.010512 692.027527 693.044466 694.061350
## [685] 695.078167 696.094931 697.111621 698.128227 699.144790
plot(binSalt, binDepth, ylim = rev(range(binDepth)), xlab = "Salinity (ppt)", ylab = "Depth (m)", type = "l")
###Plot the original profile with the bin average profile
plot(data$sal, data$dep, ylim = rev(range(data$dep)), xlab = "salinity (ppt)", ylab = "depth (m)", col="darkred", lwd = 2, type="l")
points(binSalt, binDepth, col="steelblue", lwd = 2, type = "l")
legend(x=33, y=400, legend=c("bin average", "original"), fill = c(4,2))
plot(data$tem, data$dep, ylim = rev(range(data$dep)), xlab = "temperature (C)", ylab = "depth (m)", col="darkred", lwd = 4, type="l")
points(binTemp, binDepth, col="steelblue", lwd = 2, type = "l")
legend(x=5, y=500, legend=c("bin average", "original"), fill = c(4,2))
###rearranging columns so cast is first
y <- y[,c(6, 1, 2, 3, 4, 5)]
###renaming columns
colnames(y)<-c("cast", "tmax", "d_tmax", "sa_tmax", "lat_tmax", "long_tmax")
###creating datafile of just "y"dataframe
write.csv(y, file = "C:/Users/ingri/MAST467/Data/dat3.csv")
###Using while loop to identify the surfame mixed layer (SML)
sst <-as.numeric(dat2[1,3])
print(sst)
## [1] 7.382222
i = 2
while(dat2[i,3] <= (sst+.2) && dat2[i,3] >= (sst-.2))
{print(dat2[i,3])
i = i+1
}###end loop
## [1] 7.371111
## [1] 7.37
## [1] 7.37
## [1] 7.37
## [1] 7.351111
## [1] 7.338889
## [1] 7.326
## [1] 7.314444
## [1] 7.285556
## [1] 7.27
## [1] 7.264444
## [1] 7.25
## [1] 7.237778
## [1] 7.211111
## [1] 7.186667
print(i)
## [1] 17
z_SML <- binDepth[12]
print(z_SML)
## [1] 13
###calculate the mean value and standard deviation of potential temperature and absolute salinity
mean(pt_2[1:z_SML])
## [1] 7.378979
sd(pt_2[1:z_SML])
## [1] 0.007628234
mean(SA_2[1:z_SML])
## [1] 32.9982
sd(SA_2[1:z_SML])
## [1] 0.04057656
plot(binpt_2, binDepth, ylim = rev(range(binDepth)), xlab = "potential temperature (C)", ylab = "depth (m)", col="black", lwd = 2, type="l")
points(binpt_2[z_SML], binDepth[z_SML], col = "red", lwd=2, pch = 20)
plot(binSA_2, binDepth, ylim = rev(range(binDepth)), xlab = "Absolute Salinity (ppt)", ylab = "depth (m)", col="black", lwd = 2, type="l")
points(binSA_2[z_SML], binDepth[z_SML], col = "red", lwd=2, pch = 20)
```