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1 Version ID

The results displayed on this site correspond to the Version_ID: v_XXX

2 Required data

Required are:

  • cleaned and prepared GLODAPv2_2020 file
GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

3 Predictor combinations

Find all possible combinations of following considered predictor variables:

  • sal, temp, aou, nitrate, silicate, phosphate, phosphate_star
# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

i_basin <- unique(GLODAP$basin)[1]
i_era   <- unique(GLODAP$era)[1]

# subset one basin and era for fitting
GLODAP_basin_era <- GLODAP %>%
  filter(basin == i_basin, era == i_era,
         data_source == "obs")

i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[3]
print(i_gamma_slab)

# subset one gamma slab
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
  filter(gamma_slab == i_gamma_slab)

# fit the full linear model, i.e. all predictor combinations
lm_full <- lm(paste(
  params_local$MLR_target,
  paste(params_local$MLR_predictors, collapse = " + "),
  sep = " ~ "
),
data = GLODAP_basin_era_slab)

# fit linear models for all possible predictor combinations
# unfortunately, this functions does not provide model coefficients (yet)
lm_all <- ols_step_all_possible(lm_full)

# convert to tibble
lm_all <- as_tibble(lm_all)

# format model formula
lm_all <- lm_all %>% 
  select(n, predictors) %>% 
  mutate(model = str_replace_all(predictors, " ", " + "),
         model = paste(params_local$MLR_target, "~", model))

# remove helper objects
rm(i_gamma_slab,
   i_era,
   i_basin,
   GLODAP_basin_era,
   GLODAP_basin_era_slab,
   lm_full)

4 Apply predictor threshold

Select combinations with a total number of predictors in the range:

  • Minimum: 2
  • Maximum: 5
lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

  • 112

5 Fit all models

Individual linear regression models were fitted for the chosen target variable:

  • cstar_tref

as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. Model diagnostics, such as the root mean squared error (RMSE), were calculated for each fitted model.

# prepare nested data frame
GLODAP %>%
  filter_all(any_vars(is.na(.)))

GLODAP_nested <- GLODAP %>% 
  # filter(gamma_slab %in% unique(GLODAP$gamma_slab)[c(5,6)]) %>%
  nest(data = !c(gamma_slab, era, basin, data_source))

# expand with model definitions
GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all#[1:3,]
)

# fit models and extract tidy model output
GLODAP_nested_lm_fit <- GLODAP_nested_lm %>% 
  mutate(
    fit = map2(.x = data, .y = model, 
               ~ lm(as.formula(.y), data = .x)),
    tidied = map(fit, tidy),
    glanced = map(fit, glance),
    augmented = map(fit, augment),
    vif = map(fit, ols_vif_tol)
  )

6 Tidy models

# extract glanced model output (model diagnostics, such as AIC)
GLODAP_glanced <- GLODAP_nested_lm_fit %>%
  select(-c(data, fit, tidied, augmented, vif)) %>%
  unnest(glanced) %>% 
  rename(n_predictors = n)

# extract tidy model output (model coefficients)
GLODAP_tidy <- GLODAP_nested_lm_fit %>%
  select(-c(data, fit, glanced, augmented, vif)) %>%
  unnest(tidied)

# extract augmented model output (fitted values and residuals)
GLODAP_augmented <- GLODAP_nested_lm_fit %>% 
  select(-c(data, fit, tidied, glanced, vif)) %>% 
  unnest(augmented) 

# print(object.size(GLODAP_augmented), units = "MB")

# extract VIC from output
GLODAP_glanced_vif <- GLODAP_nested_lm_fit %>%
  select(-c(data, fit, tidied, augmented, glanced)) %>%
  unnest(vif)

# calculte max vif per model
GLODAP_glanced_vif_max <- GLODAP_glanced_vif %>% 
  group_by(data_source, era, basin, gamma_slab, model, n) %>% 
  summarise(vif_max = max(VIF)) %>% 
  ungroup()

# calculate RMSE from augmented output
GLODAP_glanced_rmse <- GLODAP_augmented %>%
  group_by(data_source, era, basin, gamma_slab, model) %>%
  summarise(rmse = sqrt(c(crossprod(.resid)) / length(.resid))) %>%
  ungroup()

# add RMSE and vif_max to glanced output
GLODAP_glanced <- full_join(GLODAP_glanced, GLODAP_glanced_rmse)
GLODAP_glanced <- full_join(GLODAP_glanced, GLODAP_glanced_vif_max)
rm(GLODAP_glanced_rmse)
rm(GLODAP_glanced_vif_max)


# extract input data
GLODAP_data <- GLODAP_nested_lm_fit %>%
  select(-c(fit, tidied, glanced, augmented, vif)) %>%
  unnest(data)

# append input data with augmented data
GLODAP_augmented <- bind_cols(
  GLODAP_data,
  GLODAP_augmented %>% select(.fitted, .resid)
)

rm(GLODAP, GLODAP_nested, GLODAP_nested_lm, GLODAP_nested_lm_fit, lm_all,
   GLODAP_data)

7 Prepare coeffcients

Coefficients are prepared for the mapping of Cant and the chosen target variable.

7.1 VIF threshold

To avoid multicollinearity among predictors, models were excluded with a VIF above:

  • 500

After removing models affected by multicollinearity, the targeted number of MLRs (10) was undercut in following fitting units:

GLODAP_glanced_clean <- GLODAP_glanced %>% 
  filter(vif_max <= params_local$vif_max)

GLODAP_glanced_clean %>% 
  group_by(data_source, era, basin, gamma_slab) %>% 
  count() %>% 
  filter(n < params_local$MLR_number)
# A tibble: 0 x 5
# Groups:   data_source, era, basin, gamma_slab [0]
# … with 5 variables: data_source <chr>, era <chr>, basin <chr>,
#   gamma_slab <chr>, n <int>

7.2 Predictor selection

Within each basin and slab, the following number of best linear regression models was selected:

  • 10

The criterion used to select the best models was:

  • rmse

The criterion was summed up for two adjacent eras, and the models with lowest summed values were selected.

# calculate RMSE sum for adjacent eras
lm_all <- GLODAP_glanced_clean  %>%
  select(data_source, basin, gamma_slab, model, era, AIC, BIC, rmse) %>% 
  arrange(era) %>% 
  group_by(data_source, basin, gamma_slab, model) %>% 
  mutate(rmse_sum = rmse + lag(rmse),
         aic_sum = AIC + lag(AIC),
         bic_sum = BIC + lag(BIC)
         ) %>% 
  ungroup() %>% 
  select(-c(era)) %>% 
  drop_na()

# subset models with lowest summed criterion
# chose which criterion is applied

if (params_local$MLR_criterion == "aic") {
  lm_best <- lm_all %>%
    group_by(data_source, basin, gamma_slab) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, model)
} 

if (params_local$MLR_criterion == "bic") {
  lm_best <- lm_all %>%
    group_by(data_source, basin, gamma_slab) %>%
    slice_min(order_by = bic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, model)
}

if (params_local$MLR_criterion == "rmse") {
  lm_best <- lm_all %>%
    group_by(data_source, basin, gamma_slab) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, model)
}


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
data_source basin gamma_slab model AIC BIC rmse rmse_sum aic_sum bic_sum
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 154.63103 169.6330 0.7387326 4.6756762 871.5455 906.4014
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 853.23459 873.2533 6.2583009 13.8985935 1419.6145 1456.3074
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 172.54940 187.5513 0.8516241 5.0600280 906.2669 941.1229
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 856.49760 876.5163 6.3379543 14.4294833 1432.0586 1468.7515
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 152.76007 165.6189 0.7394896 4.8772004 880.2085 910.0850
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 95.26664 110.2686 0.4611808 4.3246158 807.4314 842.2873
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 108.88283 121.7416 0.5220316 5.0109335 856.8606 886.7371
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 851.65283 868.8117 6.2684542 13.9980075 1417.8912 1449.3422
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 852.24738 872.2661 6.2343998 13.9206505 1419.5868 1456.2797
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 852.21643 872.2351 6.2336519 13.9223928 1419.6077 1456.3006
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 98.91745 113.9194 0.4747388 4.8783062 844.0585 878.9144
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 853.46687 873.4856 6.2639378 13.9896814 1421.6263 1458.3192
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 175.59886 190.6008 0.8724867 4.8479064 894.9642 929.8201
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 855.39725 875.4159 6.3109809 14.4494212 1431.8832 1468.5761
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 855.35954 875.3782 6.3100586 14.4553784 1431.9807 1468.6735
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 154.53991 169.5419 0.7381986 4.6803709 871.7889 906.6448
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 851.96873 871.9874 6.2276700 13.9374360 1419.7969 1456.4898
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate 106.93093 119.7897 0.5140070 5.0829362 859.3617 889.2382
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 107.50315 122.5051 0.5082153 4.7874356 845.4259 880.2818
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 855.20196 875.2206 6.3062056 14.4579474 1431.9492 1468.6421
obs Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4765.34041 4793.1324 5.5421320 11.3805394 8826.6209 8881.1441
obs Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4742.02316 4774.4472 5.4504667 11.2885416 8805.2312 8868.8416
mod Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1973.53199 2000.6761 3.7640821 8.1872600 4137.8217 4192.3604
obs Atlantic (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 4762.40632 4790.1983 5.5314301 11.4932502 8850.2942 8904.8174
mod Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1950.65927 1977.8034 3.6454121 8.5698058 4194.3827 4248.9213
obs Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4737.91022 4770.3342 5.4357189 11.3852230 8825.1676 8888.7781
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1973.86893 2001.0131 3.7658588 8.1844531 4137.3914 4191.9301
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4662.79754 4695.2216 5.1732982 11.0913540 8743.3135 8806.9239
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1974.00029 2001.1444 3.7665517 8.2142191 4142.3758 4196.9145
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4670.56389 4702.9879 5.1998335 11.1797351 8764.3037 8827.9141
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2001.62207 2028.7662 3.9151196 8.7675128 4234.4459 4288.9846
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 1953.78056 1980.9247 3.6613831 8.6783362 4211.2840 4265.8226
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1954.44882 1981.5930 3.6648115 8.7284238 4218.8026 4273.3413
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1974.37055 2001.5147 3.7685054 8.2473614 4147.9171 4202.4558
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4691.46160 4723.8856 5.2719126 11.3106879 8797.6634 8861.2738
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1953.89488 1981.0390 3.6619694 8.6630658 4209.0557 4263.5944
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1954.73928 1981.8834 3.6663027 8.7332635 4219.5823 4274.1210
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4780.12621 4807.9182 5.5963779 11.5153206 8858.8328 8913.3560
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4757.56324 4789.9873 5.5065508 11.4180251 8836.6638 8900.2742
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4767.28510 4799.7091 5.5419300 11.5099769 8858.5008 8922.1112
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6358.67754 6393.1704 5.4259745 10.9206134 11912.3676 11980.3754
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3414.15670 3444.9701 4.0569382 7.4924501 6516.3703 6577.7490
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6356.39527 6390.8882 5.4199075 10.9312995 11915.4860 11983.4938
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3438.56292 3469.3763 4.1398762 7.5089823 6518.0570 6579.4357
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6389.85340 6424.3463 5.5095326 11.0062392 11944.2109 12012.2187
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3446.92524 3477.7387 4.1686815 7.5152896 6518.6204 6579.9991
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6384.53195 6419.0249 5.4951795 11.0072869 11943.8529 12011.8607
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3418.71515 3449.5286 4.0723017 7.4328003 6495.2316 6556.6104
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6354.82768 6389.3206 5.4157443 10.9283606 11914.3124 11982.3202
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3448.30435 3479.1178 4.1734513 7.5223591 6520.7991 6582.1778
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6383.93784 6418.4307 5.4935793 11.0079556 11943.9889 12011.9967
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 6390.00000 6419.5653 5.5153331 11.0266598 11947.0697 12005.3621
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 3412.47091 3438.8824 4.0579953 7.5301556 6525.0357 6577.6461
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3398.46155 3429.2750 4.0044824 7.4197631 6493.8003 6555.1790
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6380.05423 6414.5471 5.4831310 10.9940073 11938.9789 12006.9868
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3403.72908 3434.5425 4.0220113 7.3716561 6476.4799 6537.8587
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6376.55779 6411.0507 5.4737413 11.0055718 11942.2150 12010.2229
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 3416.83130 3443.2428 4.0726939 7.4615379 6501.1248 6553.7351
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3408.15872 3438.9721 4.0368113 7.3539313 6469.5520 6530.9307
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6375.40967 6409.9026 5.4706615 11.0013624 11940.7047 12008.7125
mod Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 5190.40060 5225.6966 2.3244288 4.7373063 9757.9226 9827.5025
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5386.58442 5421.8804 2.5325305 4.9295971 9941.0893 10010.6693
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 5602.36147 5632.6152 2.7854272 5.1900367 10161.0871 10220.7270
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 5567.77936 5603.0754 2.7412461 4.9155423 9929.1536 9998.7335
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 7112.65954 7148.1724 4.8986911 10.8530282 13372.6234 13442.3134
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5594.27671 5629.5727 2.7731770 5.0156017 10016.7393 10086.3193
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7109.26512 7144.7780 4.8916503 10.7884021 13350.2785 13419.9684
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7110.56586 7146.0788 4.8943472 10.7791625 13347.6280 13417.3179
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5604.03003 5639.3260 2.7850238 5.0678441 10061.8434 10131.4233
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7109.52079 7145.0337 4.8921803 10.7877381 13350.1393 13419.8292
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 7115.25863 7145.6982 4.9082468 10.8240060 13360.5474 13420.2817
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5217.07488 5252.3709 2.3516863 4.5344517 9586.1465 9655.7265
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 7115.41298 7150.9259 4.9044098 10.8563870 13374.6039 13444.2938
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5231.33490 5266.6309 2.3663890 4.5491459 9600.3988 9669.9788
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7116.67871 7152.1916 4.9070409 10.8057612 13358.3429 13428.0329
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 5727.97721 5758.2309 2.9426286 5.2362912 10193.1724 10252.8123
mod Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5260.75085 5296.0469 2.3970092 4.6171348 9663.4254 9733.0054
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7116.65273 7152.1656 4.9069869 10.8098488 13359.6856 13429.3756
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 7114.68438 7145.1240 4.9070527 10.8476251 13368.1352 13427.8695
obs Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7115.57018 7146.0098 4.9088948 10.8671758 13374.8252 13434.5595
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 5969.31238 6000.2821 2.4397330 4.9973778 11112.3756 11173.2979
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5529.49751 5565.6289 2.0554806 4.3596697 10447.4776 10518.5536
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 5730.68021 5766.8116 2.2223117 4.6249077 10739.6629 10810.7389
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10399.26486 10437.0863 5.7280279 11.4590335 18736.7666 18810.8592
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10374.46299 10412.2844 5.6849047 11.3325696 18673.4383 18747.5308
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 5638.90013 5675.0315 2.1445864 4.4255268 10534.8135 10605.8895
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5900.54080 5936.6722 2.3736681 5.0004842 11103.6720 11174.7480
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10403.64923 10441.4707 5.7356850 11.4220149 18720.5686 18794.6612
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 10380.10985 10417.9313 5.6946943 11.3595553 18687.0808 18761.1734
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5913.08815 5949.2195 2.3852491 5.0001594 11106.3344 11177.4104
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10406.12308 10443.9445 5.7400099 11.4341406 18726.6479 18800.7405
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 10375.61504 10408.0334 5.6903671 11.4079771 18704.9622 18768.4701
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 5726.47357 5757.4433 2.2204103 4.5472911 10663.7781 10724.7004
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5722.93714 5759.0685 2.2156470 4.5400570 10659.9300 10731.0060
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10361.63991 10399.4613 5.6627366 11.4529249 18726.1617 18800.2543
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5714.80930 5750.9406 2.2086726 4.5149324 10634.7441 10705.8201
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10324.44965 10362.2711 5.5989310 11.3119796 18653.6978 18727.7904
obs Atlantic (27,27.25] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 10382.37945 10414.7978 5.7021074 11.4349779 18718.7368 18782.2448
mod Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5611.65258 5647.7839 2.1220390 4.2218135 10327.4847 10398.5608
obs Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10333.44502 10371.2664 5.6142977 11.3429762 18669.8786 18743.9712
obs Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 12029.44635 12068.3230 5.6393191 10.9640386 21923.2365 21999.7488
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 8939.48454 8971.9972 3.5210924 6.7995493 16707.8672 16772.2110
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 8937.52538 8975.4568 3.5169136 6.7361261 16653.6375 16728.7053
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 8931.93623 8969.8677 3.5110227 6.7885465 16701.4718 16776.5396
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 12048.05833 12086.9350 5.6668913 10.8400886 21849.5829 21926.0952
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 12041.21772 12080.0944 5.6567418 10.7643395 21801.9557 21878.4679
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 8808.94719 8846.8787 3.3838633 6.3955908 16326.7895 16401.8573
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12139.04710 12177.9238 5.8036365 10.9693147 21935.9229 22012.4352
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9385.88035 9423.8118 4.0231427 7.3159561 17169.2666 17244.3344
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 12041.66907 12080.5457 5.6574110 10.7849910 21814.8863 21891.3986
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9202.58574 9240.5172 3.8079310 7.3361673 17191.4821 17266.5498
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 12073.77709 12107.1000 5.7082045 10.9377004 21907.8950 21973.4770
mod Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 8939.26106 8971.7737 3.5208564 6.6121995 16532.7525 16597.0964
mod Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 8867.19137 8905.1228 3.4434979 6.5265233 16454.6647 16529.7325
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12019.42572 12058.3024 5.6245300 10.8785879 21870.5195 21947.0318
mod Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 8911.75684 8949.6883 3.4898361 6.5811791 16507.2483 16582.3161
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 12019.26550 12058.1422 5.6242938 10.8127571 21830.2075 21906.7197
obs Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 12067.30675 12100.6296 5.6985339 10.9417667 21909.8089 21975.3908
mod Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 8732.58678 8770.5182 3.3072416 6.2724260 16204.0789 16279.1467
obs Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 12015.46826 12054.3449 5.6187000 10.8262774 21838.1626 21914.6748
obs Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 10136.01309 10168.3727 5.4528719 10.8543431 19508.3213 19572.5882
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 11234.24681 11274.3488 2.8554218 5.6359208 22059.5141 22139.5339
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 11413.60389 11442.2482 2.9729458 5.5912433 21968.7214 22025.8784
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 11384.80930 11419.1824 2.9528751 5.5464984 21900.0005 21968.5890
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 10560.10223 10594.4754 2.4629640 4.8782140 20759.7847 20828.3732
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 11398.88262 11433.2558 2.9620307 5.5582388 21918.4846 21987.0731
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 10536.77670 10576.8787 2.4492811 4.8438000 20700.2879 20780.3078
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 10150.78947 10188.5423 5.4743504 10.8876781 19531.7064 19606.6843
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10637.58574 10677.6877 2.5042014 4.9243011 20848.1505 20928.1704
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10187.00192 10224.7548 5.5356883 10.9938735 19592.7914 19667.7694
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10652.71772 10692.8197 2.5125509 4.9361479 20869.6770 20949.6969
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10626.55606 10666.6581 2.4981330 4.9162184 20833.4338 20913.4537
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10165.07402 10202.8269 5.4984644 10.9328978 19557.7191 19632.6971
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 10977.11383 11011.4870 2.6995823 5.1839520 21301.7377 21370.3262
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10150.00414 10187.7570 5.4730277 10.8835180 19529.3408 19604.3187
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10192.55908 10230.3119 5.5451618 11.0071071 19600.4241 19675.4021
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 10151.22960 10183.5892 5.4784621 10.8971472 19533.1279 19597.3947
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 10191.49744 10223.8570 5.5467631 11.0170830 19601.9802 19666.2470
obs Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10166.12293 10203.8758 5.5002393 10.9374286 19560.2961 19635.2741
obs Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10167.34580 10199.7054 5.5056963 10.9490013 19562.9072 19627.1740
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 5604.12650 5635.9496 1.5883016 3.1905898 10572.6800 10635.5743
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 9163.53754 9200.5121 5.6259784 10.8688466 16996.2396 17069.2470
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 5369.67301 5401.4961 1.4678193 3.0021859 10224.6543 10287.5487
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 9161.74796 9193.4404 5.6263855 10.8716365 16993.6050 17056.1828
obs Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 9162.00983 9198.9843 5.6230236 10.8947355 17008.6584 17081.6658
mod Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 5954.80633 5986.6294 1.7872173 3.5907453 11233.5739 11296.4682
mod Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5938.32952 5970.1526 1.7773364 3.5793254 11214.8588 11277.7531
obs Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 9160.36654 9192.0590 5.6237134 10.9006233 17007.5203 17070.0981
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 5487.40825 5524.5352 1.5261065 3.1179480 10440.8107 10514.1875
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 5196.31828 5233.4452 1.3837200 2.8896261 10004.2081 10077.5848
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 9160.49276 9197.4673 5.6200909 10.8653361 16994.3470 17067.3545
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5317.38953 5354.5164 1.4412530 3.0127031 10236.9873 10310.3640
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5324.55200 5361.6789 1.4447306 3.0155493 10243.0961 10316.4728
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5310.48330 5347.6102 1.4379077 3.0056734 10223.9263 10297.3030
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9162.13040 9199.1049 5.6232567 10.8833473 17003.1690 17076.1764
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 5432.34917 5464.1722 1.4991027 3.1334892 10452.9095 10515.8038
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 9168.91483 9205.8893 5.6363912 10.9011949 17012.2300 17085.2375
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 9167.07137 9198.7638 5.6366947 10.9029555 17009.0901 17071.6679
obs Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 9169.73530 9206.7098 5.6379817 10.9113961 17017.2046 17090.2121
obs Atlantic (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 9167.88180 9199.5742 5.6382657 10.9136783 17014.3141 17076.8919
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 5559.25422 5590.1207 2.1601788 4.8229159 10646.0424 10706.6937
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12943.25859 12982.6172 5.7190114 11.7289804 25067.8487 25145.9992
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 12660.03318 12699.3918 5.3362001 11.1129323 24635.4013 24713.5517
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 5357.14469 5388.0111 1.9945768 4.5255351 10336.5320 10397.1832
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 12660.36633 12694.1023 5.3392465 11.1163394 24633.9699 24700.9560
obs Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 12829.53099 12868.8896 5.5621020 11.4776658 24894.4315 24972.5819
obs Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 12846.70080 12880.4368 5.5882455 11.5054214 24910.6286 24977.6147
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 5304.65263 5340.6635 1.9521426 4.5592982 10348.8044 10419.5642
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 5716.13118 5746.9976 2.2981393 4.9378152 10784.5134 10845.1647
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 4980.99366 5017.0045 1.7180691 4.1487162 9876.8090 9947.5688
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 12575.76033 12615.1190 5.2273221 10.9631329 24524.3273 24602.4778
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5076.89791 5112.9088 1.7843390 4.2642446 10015.1665 10085.9263
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12569.02887 12608.3875 5.2187217 10.9609783 24521.8302 24599.9807
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 12560.50728 12599.8659 5.2078544 10.9783656 24531.8133 24609.9638
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5084.08187 5120.0927 1.7894048 4.2852479 10035.9057 10106.6655
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 12574.47788 12608.2139 5.2282397 10.9991983 24544.0762 24611.0623
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5066.27862 5102.2895 1.7768769 4.2494129 9998.2495 10069.0093
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12575.48961 12614.8483 5.2269759 10.9630131 24524.2054 24602.3558
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 5182.39767 5213.2641 1.8616645 4.4457430 10205.7364 10266.3876
mod Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 5519.06184 5549.9283 2.1261860 4.8776919 10675.2417 10735.8930
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 14182.27259 14222.4390 5.3077960 11.9960124 28907.3471 28987.4377
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 13907.74744 13947.9138 4.9995165 11.5594480 28546.9871 28627.0777
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 13912.80244 13947.2308 5.0072102 11.5687837 28551.1513 28619.8004
obs Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 14022.00912 14062.1755 5.1255902 11.7372075 28696.0318 28776.1223
obs Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 14038.86078 14073.2891 5.1466940 11.7585829 28711.0654 28779.7145
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 7336.80184 7367.9368 3.8387148 8.5247739 14354.5879 14416.1727
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 7196.35081 7232.6750 3.6378125 8.1960363 14150.7512 14222.6001
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 13920.35821 13960.5246 5.0132773 11.6012475 28578.5009 28658.5915
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7205.46692 7241.7911 3.6503482 8.3737136 14243.9985 14315.8474
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13887.78331 13927.9497 4.9778090 11.5388569 28527.7772 28607.8678
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 13947.19370 13987.3601 5.0426862 11.6825157 28640.0877 28720.1783
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7184.82025 7221.1444 3.6220182 8.4699140 14284.8708 14356.7197
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 7357.02500 7388.1600 3.8681216 8.6768075 14435.8777 14497.4624
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate 13965.03073 13999.4590 5.0645363 11.7101163 28659.7615 28728.4105
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7205.74081 7242.0650 3.6507255 8.3112182 14212.5939 14284.4428
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13912.78926 13952.9556 5.0050136 11.5854539 28565.8634 28645.9540
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 7204.65803 7235.7930 3.6519893 8.6126522 14357.0678 14418.6526
mod Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 7395.63208 7426.7671 3.9248876 8.5023777 14358.0033 14419.5881
mod Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 7413.53875 7444.6738 3.9514988 8.7073238 14466.2605 14527.8453
mod Atlantic (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7414.81367 7445.9487 3.9534004 8.6290962 14427.3659 14488.9507
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12139.66401 12178.8878 4.9774506 11.1988789 24621.9061 24700.0505
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 12110.81986 12150.0437 4.9417760 11.1747310 24600.1699 24678.3143
obs Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 12109.20309 12148.4269 4.9397839 11.1611927 24591.4332 24669.5775
obs Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 12125.33113 12158.9515 4.9621658 11.2251430 24631.1328 24698.1137
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 12175.90981 12215.1336 5.0226450 11.2248678 24646.2795 24724.4239
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 3143.25535 3172.2081 1.3244310 2.2936681 5494.9049 5552.2795
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 3181.58633 3210.5391 1.3522804 2.3468230 5576.6902 5634.0648
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 3130.14247 3163.9207 1.3136090 2.2816516 5481.7129 5548.6499
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3161.80190 3195.5801 1.3363819 2.3308212 5558.7308 5625.6678
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12143.52161 12182.7454 4.9822412 11.1585992 24597.8441 24675.9884
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 12165.30002 12204.5238 5.0093735 11.2056814 24632.0059 24710.1503
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 12188.50604 12222.1264 5.0409605 11.2483328 24660.0626 24727.0435
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3181.48881 3215.2670 1.3507414 2.3602308 5603.7429 5670.6799
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12082.91503 12122.1388 4.9075065 11.0598650 24522.2874 24600.4317
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 3168.84230 3197.7951 1.3429569 2.3340889 5558.1546 5615.5291
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3153.46139 3187.2396 1.3303445 2.3211888 5544.2842 5611.2212
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12171.69787 12210.9217 5.0173722 11.2097733 24635.9819 24714.1262
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 3146.47395 3170.6013 1.3281886 2.3280898 5548.6377 5596.4498
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 3139.80325 3168.7560 1.3219512 2.3195544 5540.0878 5597.4624
mod Atlantic (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3164.34711 3193.2999 1.3396835 2.3625080 5606.7269 5664.1015
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10979.16023 11017.6484 5.0455263 13.4787273 22903.5997 22980.0613
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 3457.06171 3487.7308 0.9861588 2.2951814 7963.1013 8024.9325
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 3499.13447 3529.8035 1.0032259 2.3163882 8013.5793 8075.4105
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 3458.91178 3494.6924 0.9860985 2.2341090 7839.8941 7912.0304
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3500.78229 3536.5629 1.0030818 2.2611827 7903.2007 7975.3371
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10941.41179 10979.9000 4.9930420 13.4470695 22874.1241 22950.5856
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 10972.05598 11010.5442 5.0356068 13.4628307 22894.1175 22970.5790
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10932.85722 10971.3454 4.9812241 13.4255099 22861.7025 22938.1640
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 3485.92659 3516.5957 0.9978365 2.3086086 7995.5218 8057.3530
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3487.91986 3523.7004 0.9978337 2.2495591 7876.8141 7948.9505
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10951.76424 10990.2525 5.0073812 13.4591401 22883.5764 22960.0380
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10950.97149 10989.4597 5.0062817 13.4260631 22870.0696 22946.5312
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 3482.81638 3508.3739 0.9973848 2.3069159 7987.8900 8039.4160
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 3484.81637 3515.4854 0.9973848 2.2553643 7884.9782 7946.8093
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 3531.31971 3561.9888 1.0164812 2.2859022 7955.5832 8017.4143
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 10959.18319 10992.1731 5.0204631 13.4744933 22889.8966 22955.4350
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10952.29164 10990.7798 5.0081128 13.4227223 22869.3289 22945.7905
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 10950.34824 10983.3381 5.0081913 13.4526750 22877.2721 22942.8106
mod Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3516.87701 3547.5461 1.0105115 2.2728764 7926.3024 7988.1336
obs Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10968.21036 11001.2003 5.0330330 13.4847991 22898.0254 22963.5638
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 5078.55128 5112.2401 0.8438430 1.7333091 10508.6621 10576.1945
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4824.16331 4857.1710 4.4651909 11.5901161 10798.1949 10864.6699
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 4906.66084 4945.9645 0.8084300 1.6812160 10259.9810 10338.7689
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 5281.08203 5320.3857 0.8866116 1.8302568 10959.2872 11038.0750
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 4737.93248 4770.9402 4.2378279 11.3720271 10714.2560 10780.7311
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4727.29251 4760.3002 4.2105883 11.2596298 10682.4573 10748.9324
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4822.01835 4855.0260 4.4593900 11.5884594 10797.0744 10863.5495
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 5101.75101 5135.4398 0.8486835 1.7801022 10723.6781 10791.2106
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5097.72670 5137.0303 0.8474239 1.7517649 10598.8650 10677.6529
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4751.65474 4784.6624 4.2732188 11.3667589 10717.9076 10784.3827
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4729.30788 4762.3156 4.2157344 11.2797990 10688.2239 10754.6990
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate 4944.01429 4977.7031 0.8163120 1.6840009 10270.9572 10338.4896
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 4970.28307 5003.9719 0.8216160 1.6945012 10322.0761 10389.6086
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 4904.73989 4938.4287 0.8084457 1.6874441 10285.5798 10353.1123
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4737.41527 4770.4230 4.2364997 11.5442580 10756.0912 10822.5663
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 4738.00934 4766.3016 4.2431654 11.5543584 10755.5132 10812.4919
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5003.46766 5037.1565 0.8283657 1.7087177 10390.7118 10458.2442
obs Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4738.02315 4771.0308 4.2380608 11.5682275 10762.0938 10828.5689
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 5143.26045 5176.9493 0.8574136 1.7628630 10647.4966 10715.0290
obs Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4739.14484 4767.4371 4.2460865 11.5765119 10761.2777 10818.2563
mod Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 4217.29873 4251.5519 0.6217607 1.5462387 8918.0617 8985.1156
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 4061.73155 4090.2759 0.6006979 1.2145575 7328.1923 7384.0706
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 3897.96581 3925.3150 3.8078533 7.8895069 8238.5410 8293.7373
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 3908.17015 3942.4233 0.5800891 1.1810129 7102.1310 7169.1850
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 4026.51540 4060.7686 0.5957019 1.2093433 7293.7334 7360.7873
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3893.93875 3925.8461 3.7916113 7.8373710 8222.9820 8287.3777
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3406.40910 3446.3711 0.5180798 1.1042842 6515.6202 6593.8498
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 3892.06478 3919.4140 3.7919502 7.8381204 8219.2635 8274.4597
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 3883.62860 3917.8818 0.5769030 1.1845968 7116.7774 7183.8313
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3891.64577 3923.5532 3.7854503 7.8651089 8233.4720 8297.8676
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 3809.69099 3849.6530 0.5671549 1.1737825 7038.6969 7116.9266
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 3889.72561 3917.0748 3.7856647 7.8732854 8232.5389 8287.7352
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 3884.59825 3916.5056 3.7665769 7.8076580 8211.8689 8276.2645
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3908.07723 3939.9846 3.8298222 7.7995363 8208.0504 8272.4461
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3910.26996 3942.1773 3.8357826 7.8769368 8237.5683 8301.9639
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 3910.29809 3937.6473 3.8413040 7.8926674 8239.4618 8294.6581
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3896.87992 3928.7873 3.7995286 7.7898924 8204.8016 8269.1972
mod Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + phosphate 4936.70407 4970.9572 0.7306991 1.5322658 9138.4386 9205.4926
mod Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + phosphate_star 4970.52988 5004.7830 0.7362669 1.5419692 9190.2652 9257.3192
mod Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 4360.33281 4394.5860 0.6420425 1.4216235 8464.7827 8531.8367
mod Indian (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 634.55465 656.0370 1.7031699 3.4482606 1620.6212 1666.6409
obs Indian (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 837.17370 858.7435 3.1189660 6.9261563 2328.2986 2375.0053
mod Indian (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 633.95423 655.4366 1.6999572 3.4284574 1615.3210 1661.3406
obs Indian (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 833.41678 854.9866 3.0827871 6.8584381 2320.0829 2366.7896
obs Indian (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 831.68359 850.1720 3.0853426 7.0759502 2346.0284 2386.0627
mod Indian (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 513.16338 534.6457 1.1627148 2.5205659 1375.7856 1421.8053
obs Indian (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 835.28843 856.8583 3.1007582 7.0369910 2344.2796 2390.9864
mod Indian (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 514.97713 536.4595 1.1693655 2.5047092 1369.3757 1415.3954
obs Indian (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 832.16065 853.7305 3.0707845 6.9814143 2337.6541 2384.3608
mod Indian (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 633.98984 655.4722 1.7001476 3.4274740 1615.0224 1661.0421
obs Indian (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 833.29116 854.8610 3.0815846 6.8650053 2321.0591 2367.7659
obs Indian (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 831.58883 850.0773 3.0844347 6.9367160 2327.0246 2367.0589
mod Indian (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 635.24174 656.7241 1.7068539 3.3949466 1604.9704 1650.9900
obs Indian (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 832.73172 854.3016 3.0762354 6.8709340 2322.0951 2368.8018
obs Indian (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 831.46267 849.9511 3.0832265 7.0678079 2344.9974 2385.0318
mod Indian (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 515.27370 536.7560 1.1704565 2.5027147 1368.5341 1414.5538
obs Indian (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 831.95153 853.5214 3.0687908 6.9732795 2336.6026 2383.3093
mod Indian (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 700.87004 722.3524 2.0980957 3.5542515 1597.8814 1643.9010
mod Indian (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 697.44031 718.9226 2.0755887 3.5227513 1591.4036 1637.4233
mod Indian (-Inf,26] cstar_tref ~ temp + silicate + phosphate + phosphate_star 695.50051 713.9139 2.0759817 3.5777411 1605.6839 1645.1293
obs Indian (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1614.72182 1640.9004 3.1726564 7.4981607 3958.5634 4012.7518
obs Indian (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1612.09073 1638.2693 3.1592642 7.4604927 3951.3848 4005.5733
mod Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 858.13617 883.4536 1.1228325 2.9033489 2193.3836 2245.3158
obs Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 1645.44092 1671.6195 3.3332801 7.5607737 3970.7636 4024.9520
mod Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 859.21066 884.5281 1.1250282 2.9036013 2193.7351 2245.6673
obs Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1644.95501 1671.1336 3.3306772 7.5472646 3968.1905 4022.3789
obs Indian (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1611.59697 1637.7755 3.1567573 7.4563011 3950.5745 4004.7630
mod Indian (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 931.20983 956.5272 1.2823774 3.2260245 2324.4899 2376.4222
obs Indian (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1636.23138 1662.4099 3.2842900 7.5336369 3965.7201 4019.9085
mod Indian (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 859.27801 884.5954 1.1251660 2.9035602 2193.7359 2245.6681
obs Indian (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1644.96014 1671.1387 3.3307046 7.5461110 3967.9692 4022.1577
mod Indian (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 843.64254 868.9599 1.0936300 2.8944258 2186.3872 2238.3195
obs Indian (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1600.06250 1626.2410 3.0987573 7.3253263 3925.2084 3979.3969
mod Indian (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 837.16853 862.4859 1.0808324 2.8750262 2177.4818 2229.4140
obs Indian (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1599.91085 1626.0894 3.0980019 7.3148658 3923.1993 3977.3877
mod Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 864.33271 886.0333 1.1396912 3.0008140 2226.8912 2271.4045
mod Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 859.75166 881.4523 1.1302379 2.9761855 2216.8902 2261.4035
mod Indian (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 836.96862 862.2860 1.0804397 2.8738822 2177.0046 2228.9368
obs Indian (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1599.95556 1626.1341 3.0982246 7.3120752 3922.6664 3976.8548
mod Indian (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 859.66604 881.3667 1.1300619 2.9746163 2216.3047 2260.8181
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1936.19384 1963.0986 3.9229724 7.9123216 5554.2945 5612.4623
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1935.20885 1962.1137 3.9173763 7.9068798 5553.3593 5611.5271
mod Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 728.31001 753.0160 0.9983446 2.4279528 1960.8785 2012.4486
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1934.85950 1961.7643 3.9153934 7.9029335 5552.3769 5610.5447
mod Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 729.86897 754.5750 1.0014374 2.4242465 1959.1671 2010.7372
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1935.49176 1962.3966 3.9189828 7.9073598 5553.2790 5611.4469
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1935.16532 1962.0701 3.9171292 7.9067022 5553.3382 5611.5060
mod Indian (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 672.81741 697.5234 0.8942578 2.3199875 1903.5223 1955.0924
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1922.61641 1949.5212 3.8465329 7.8331718 5539.8431 5598.0110
mod Indian (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 729.73676 754.4428 1.0011748 2.4238632 1958.9768 2010.5469
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1935.46146 1962.3663 3.9188107 7.9070733 5553.2118 5611.3797
mod Indian (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 653.66791 678.3739 0.8609179 2.2699951 1876.3132 1927.8833
obs Indian (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1895.42338 1922.3282 3.6978886 7.7097519 5520.7613 5578.9291
mod Indian (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 653.14039 677.8464 0.8600172 2.2590596 1870.8828 1922.4529
obs Indian (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1895.43515 1922.3400 3.6979517 7.7070329 5519.8809 5578.0488
mod Indian (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 727.96314 749.1397 1.0016246 2.4731277 1978.3461 2022.5490
mod Indian (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 653.11539 677.8214 0.8599746 2.2582186 1870.4662 1922.0363
obs Indian (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1895.46854 1922.3734 3.6981307 7.7075634 5520.0271 5578.1949
mod Indian (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 671.98421 693.1608 0.8963305 2.3468454 1912.5122 1956.7152
mod Indian (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 727.87485 749.0514 1.0014491 2.4728843 1978.2261 2022.4291
obs Indian (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3272.51183 3302.7572 4.5329723 8.4375483 8592.8272 8657.0972
mod Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1134.97888 1161.8430 1.2400373 2.4623744 2843.1884 2899.8696
obs Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 3267.93656 3298.1819 4.5143599 8.4165641 8587.0926 8651.3626
mod Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1136.37879 1163.2429 1.2425704 2.4604934 2840.8041 2897.4853
obs Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3267.77749 3298.0229 4.5137142 8.4091345 8583.6136 8647.8836
obs Indian (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3272.47686 3302.7222 4.5328298 8.4374994 8592.8380 8657.1081
mod Indian (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1129.50246 1156.3666 1.2301773 2.4537838 2838.7977 2895.4788
obs Indian (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3264.32143 3294.5668 4.4997075 8.4037884 8584.3949 8648.6649
mod Indian (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1136.04663 1162.9107 1.2419689 2.4605163 2841.0081 2897.6893
obs Indian (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3267.77674 3298.0221 4.5137111 8.4092314 8583.6618 8647.9318
mod Indian (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1076.59827 1103.4624 1.1388723 2.4630256 2868.4968 2925.1780
obs Indian (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3269.23554 3299.4809 4.5196364 8.4414072 8597.9348 8662.2049
mod Indian (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1079.19824 1106.0624 1.1431968 2.4576711 2863.4228 2920.1040
obs Indian (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3269.58547 3299.8309 4.5210589 8.4393272 8596.5800 8660.8500
mod Indian (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 1134.85452 1157.8809 1.2434324 2.6797922 3009.8334 3058.4173
mod Indian (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1078.86848 1105.7326 1.1426474 2.4569371 2862.9461 2919.6273
obs Indian (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3269.54064 3299.7860 4.5208767 8.4389736 8596.4517 8660.7218
mod Indian (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1129.35933 1152.3857 1.2335117 2.5491721 2912.5273 2961.1112
mod Indian (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1134.68285 1157.7092 1.2431213 2.6812764 3010.9683 3059.5521
obs Indian (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3268.56719 3294.4918 4.5250521 8.4441058 8593.9442 8649.0328
mod Indian (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1799.48944 1827.7042 2.0690352 4.1878864 5124.6234 5185.2990
obs Indian (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2415.65662 2444.3431 3.5950290 8.1462592 6807.6861 6868.6757
obs Indian (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2411.35651 2440.0430 3.5777012 8.1586825 6813.1073 6874.0969
obs Indian (27,27.25] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 2434.97540 2459.5638 3.6821828 8.3080104 6849.2614 6901.5382
mod Indian (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1803.72819 1831.9430 2.0796031 4.2117649 5138.4185 5199.0941
obs Indian (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2411.98443 2440.6710 3.5802262 8.1318783 6804.1522 6865.1418
obs Indian (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2414.22290 2442.9094 3.5892423 8.1866343 6821.3091 6882.2986
mod Indian (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1792.02828 1820.2431 2.0505636 4.1510608 5103.8861 5164.5617
obs Indian (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2419.90314 2448.5897 3.6122232 8.2491015 6839.7491 6900.7387
mod Indian (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 1867.01833 1895.2331 2.2439708 4.1427427 5024.8009 5085.4765
obs Indian (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2407.60973 2436.2962 3.5626712 8.2754169 6851.6699 6912.6595
obs Indian (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2413.52444 2442.2110 3.5864266 8.3379892 6869.8232 6930.8128
mod Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1792.24849 1820.4633 2.0511064 4.1517055 5104.1804 5164.8560
obs Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2419.69416 2448.3807 3.6113751 8.2316605 6834.1915 6895.1811
mod Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1805.85740 1834.0722 2.0849320 4.0537666 5018.9338 5079.6094
mod Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1787.61613 1815.8309 2.0397181 4.0143825 5005.2044 5065.8800
obs Indian (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2413.65092 2442.3374 3.5869364 8.3322464 6867.9851 6928.9747
mod Indian (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1797.10018 1825.3150 2.0631021 4.0300835 5008.7395 5069.4151
mod Indian (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1797.27860 1825.4934 2.0635446 4.0283157 5007.2022 5067.8778
mod Indian (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1798.50396 1822.6881 2.0715597 4.1451868 5088.7148 5140.7225
obs Indian (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate 3101.92097 3127.8131 3.9544508 8.1540749 8382.2823 8437.1403
obs Indian (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3081.86192 3112.0694 3.8763610 8.0660349 8359.8443 8423.8452
obs Indian (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3078.39594 3108.6034 3.8642323 8.1081267 8380.1150 8444.1159
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate 1834.75711 1859.5575 1.7472121 3.5441100 5159.0176 5212.1176
obs Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3097.72578 3127.9333 3.9323621 8.1880363 8404.5617 8468.5626
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1823.96739 1852.9012 1.7231426 3.5124678 5143.2512 5205.2011
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 1829.56855 1858.5023 1.7336426 3.5130444 5139.6650 5201.6149
obs Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3072.85744 3103.0649 3.8449298 8.0855810 8373.1652 8437.1662
obs Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3077.67145 3107.8790 3.8617019 8.1706041 8407.4531 8471.4540
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1822.56807 1851.5019 1.7205294 3.5099957 5141.9821 5203.9320
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1855.66711 1884.6009 1.7834171 3.5638567 5166.7268 5228.6768
obs Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3082.78522 3112.9927 3.8795984 8.1605998 8400.5748 8464.5758
obs Indian (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3076.50879 3106.7163 3.8576445 8.1445621 8396.8478 8460.8487
mod Indian (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 1828.32669 1853.1271 1.7350687 3.5245638 5145.7673 5198.8673
mod Indian (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 1828.87025 1853.6706 1.7360919 3.5537039 5172.0656 5225.1656
obs Indian (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3100.96829 3131.1758 3.9439077 8.1140638 8370.3309 8434.3318
mod Indian (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1817.74971 1846.6835 1.7115614 3.4959439 5132.4638 5194.4137
mod Indian (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 1827.68200 1852.4824 1.7338559 3.5234274 5145.1931 5198.2930
mod Indian (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1815.56032 1844.4941 1.7075019 3.4908459 5129.3127 5191.2626
obs Indian (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3102.59152 3132.7990 3.9497003 8.1705007 8394.2378 8458.2387
obs Indian (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate 3504.57919 3531.3292 3.7366612 7.6029574 8665.5348 8721.2895
obs Indian (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3502.94175 3534.1501 3.7260244 7.5259155 8633.7083 8698.7554
obs Indian (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate 3517.87627 3544.6263 3.7758042 7.6438633 8679.6788 8735.4335
obs Indian (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3506.22596 3537.4343 3.7356270 7.5745172 8655.9643 8721.0115
obs Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3535.55043 3566.7588 3.8224716 7.6368685 8673.3962 8738.4434
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2104.62700 2135.2402 1.4403309 2.7647234 5498.0131 5562.9385
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate 2163.75939 2189.9993 1.5174536 2.7070221 5341.7074 5397.3578
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 2061.20784 2087.4478 1.3903178 2.6813944 5401.9449 5457.5952
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2165.72638 2196.3396 1.5174108 2.7036397 5340.0853 5405.0107
obs Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 3511.74687 3542.9552 3.7518250 7.6188737 8675.0640 8740.1112
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2061.94879 2092.5620 1.3888250 2.6750698 5397.2318 5462.1572
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2105.92059 2136.5338 1.4419216 2.7644544 5496.5132 5561.4386
obs Indian (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3505.39959 3536.6080 3.7332085 7.4996005 8619.7138 8684.7609
obs Indian (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3516.06842 3547.2768 3.7645532 7.5836791 8656.2163 8721.2634
obs Indian (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 3533.73474 3560.4848 3.8230238 7.6694848 8685.1337 8740.8884
mod Indian (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 2106.33225 2132.5722 1.4448917 2.7697375 5498.3986 5554.0489
mod Indian (27.5,27.75] cstar_tref ~ temp + nitrate + phosphate_star 2059.33389 2081.2005 1.3904673 2.6822614 5399.1754 5445.5506
obs Indian (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3508.91397 3540.1223 3.7435047 7.5403412 8638.1863 8703.2335
mod Indian (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2060.62003 2086.8600 1.3896206 2.6759255 5393.9959 5449.6462
mod Indian (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2107.42087 2133.6608 1.4462344 2.7691523 5496.5922 5552.2425
mod Indian (27.75,27.85] cstar_tref ~ aou + silicate + phosphate 1345.53265 1365.6740 1.2094152 2.4457623 3427.0292 3469.4388
mod Indian (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 1332.43755 1356.6072 1.1876185 2.3824330 3372.5379 3423.4293
mod Indian (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1376.29604 1400.4657 1.2520618 2.5575806 3528.9307 3579.8221
mod Indian (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1299.89330 1324.0630 1.1419532 2.2498890 3244.1185 3295.0099
mod Indian (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1280.12505 1308.3230 1.1123928 2.1418515 3133.0491 3192.4224
obs Indian (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2325.82520 2354.4007 3.3876326 7.2794786 6284.3326 6344.8650
mod Indian (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1319.58456 1347.7825 1.1665549 2.2981071 3292.5962 3351.9695
obs Indian (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2322.98856 2351.5641 3.3766806 7.2510351 6275.0996 6335.6319
mod Indian (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1275.14476 1303.3427 1.1057380 2.1311112 3123.0187 3182.3920
obs Indian (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2325.94483 2354.5204 3.3880953 7.2815940 6285.0551 6345.5875
obs Indian (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 2325.15733 2349.6506 3.3927881 7.2949224 6285.4136 6337.2985
mod Indian (27.75,27.85] cstar_tref ~ silicate + phosphate + phosphate_star 1376.45558 1396.5970 1.2553237 2.5298699 3496.5971 3539.0066
obs Indian (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2321.08184 2349.6574 3.3693389 7.1601602 6242.2420 6302.7744
obs Indian (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2324.90336 2353.4789 3.3840696 7.1658457 6242.6712 6303.2036
mod Indian (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 1323.13781 1347.3075 1.1743861 2.3303676 3321.2759 3372.1673
obs Indian (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2324.42912 2348.9224 3.3899689 7.2826094 6281.2264 6333.1113
obs Indian (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2324.73786 2353.3134 3.3834303 7.1674983 6243.3661 6303.8984
obs Indian (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2322.96030 2347.4536 3.3842896 7.2614821 6274.1111 6325.9960
mod Indian (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1318.26724 1342.4369 1.1675148 2.3212760 3313.9637 3364.8551
obs Indian (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2324.63776 2349.1311 3.3907763 7.2850918 6282.0459 6333.9308
mod Indian (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 1530.19812 1554.8536 1.3072795 2.5788021 3891.5596 3943.5897
mod Indian (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1565.28439 1589.9399 1.3592499 2.6745242 3974.5494 4026.5795
mod Indian (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1516.14164 1540.7971 1.2870206 2.5220546 3836.2740 3888.3042
mod Indian (27.85,27.95] cstar_tref ~ sal + silicate + phosphate_star 1685.36898 1705.9152 1.5567224 3.0054518 4229.4786 4272.8371
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3339.70824 3371.1007 3.0641495 6.4074787 8216.8854 8282.0940
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3328.98108 3360.3735 3.0391606 6.3619455 8194.7429 8259.9514
mod Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1519.21960 1547.9843 1.2885631 2.5084738 3823.9058 3884.6076
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3336.40842 3367.8009 3.0564408 6.4038041 8215.8189 8281.0275
mod Indian (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1556.25216 1585.0169 1.3426899 2.6120060 3917.1544 3977.8562
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3335.12879 3366.5212 3.0534567 6.3954911 8211.5886 8276.7972
mod Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1517.39545 1546.1602 1.2859540 2.5070514 3823.4584 3884.1602
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3337.36577 3368.7582 3.0586753 6.4065327 8217.0496 8282.2582
mod Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 1637.39078 1662.0463 1.4726319 2.8362485 4097.7665 4149.7967
obs Indian (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3326.94129 3358.3337 3.0344321 6.3589503 8193.6689 8258.8775
obs Indian (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3336.28465 3367.6771 3.0561520 6.4117813 8220.2628 8285.4714
obs Indian (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 3327.02774 3353.9356 3.0392689 6.3673382 8193.7325 8249.6256
mod Indian (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 1806.69623 1831.3517 1.7774298 3.7383284 4781.4516 4833.4818
obs Indian (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 3334.56547 3361.4733 3.0568072 6.4130721 8216.8944 8272.7875
obs Indian (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3336.96168 3368.3541 3.0577319 6.4117381 8220.0438 8285.2524
mod Indian (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1806.79774 1831.4532 1.7776303 3.7404950 4782.9721 4835.0023
obs Indian (27.95,28.05] cstar_tref ~ aou + phosphate + phosphate_star 4759.99629 4784.3982 2.7786466 5.9326990 11497.1781 11547.4689
obs Indian (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 4757.98688 4787.2692 2.7729276 5.9266405 11496.8867 11557.2357
mod Indian (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 1908.22900 1932.9640 1.9352953 3.5926270 4771.8155 4824.1985
mod Indian (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 1827.14035 1851.8753 1.7706504 3.2010349 4472.4792 4524.8622
mod Indian (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate_star 1864.18654 1888.9215 1.8440565 3.2973721 4533.0956 4585.4786
mod Indian (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1828.57853 1853.3135 1.7734448 3.2057052 4475.8597 4528.2426
mod Indian (27.95,28.05] cstar_tref ~ sal + silicate + phosphate_star 1886.98397 1907.5964 1.8948846 3.3545265 4560.3302 4603.9827
obs Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4791.39161 4825.5543 2.8180404 6.0182231 11570.6153 11641.0225
obs Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 4796.42783 4825.7101 2.8282481 6.0408638 11583.8107 11644.1597
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1832.98045 1861.8379 1.7781217 3.2205704 4492.7665 4553.8799
obs Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4791.59127 4825.7540 2.8183295 6.0105219 11564.2650 11634.6722
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1827.88104 1856.7385 1.7682071 3.1980542 4474.6629 4535.7764
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1865.66655 1894.5240 1.8430054 3.2959693 4536.2169 4597.3303
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1829.21063 1858.0681 1.7707868 3.2022719 4477.6893 4538.8028
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 1886.20258 1910.9375 1.8891144 3.3476029 4560.3772 4612.7602
obs Indian (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate 4791.29984 4820.5821 2.8208051 6.0349136 11579.8999 11640.2489
obs Indian (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4789.87060 4824.0333 2.8158386 6.0008338 11556.6306 11627.0378
obs Indian (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4811.60593 4845.7686 2.8474657 6.0787753 11616.1902 11686.5973
obs Indian (27.95,28.05] cstar_tref ~ temp + aou + phosphate 4794.53229 4818.9342 2.8283999 6.0473565 11585.0813 11635.3721
obs Indian (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 4790.91084 4820.1931 2.8202412 6.0131252 11562.1522 11622.5012
obs Indian (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3983.69349 4016.3622 3.0231876 6.0250695 9039.0857 9106.1157
mod Indian (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 1241.73067 1264.5252 1.5593823 3.1694598 3232.3413 3280.6818
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3934.49285 3967.1616 2.9300329 5.9690153 9014.4763 9081.5063
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1252.63725 1279.2309 1.5805685 3.2200242 3264.1254 3320.5228
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 3944.52518 3972.5269 2.9525459 5.9998276 9027.9685 9085.4228
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate 1251.03366 1273.8282 1.5815181 3.2211274 3260.6196 3308.9602
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1231.03239 1257.6260 1.5296668 3.0902992 3191.0794 3247.4767
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 3942.54116 3975.2099 2.9450726 5.8837186 8955.3099 9022.3399
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1229.39399 1255.9876 1.5258742 3.0800999 3185.1463 3241.5436
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3965.73754 3998.4062 2.9888521 5.9839588 9016.6061 9083.6361
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 1225.19510 1247.9897 1.5207990 3.1363013 3219.3173 3267.6578
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1226.25008 1252.8437 1.5186230 3.0993398 3199.6470 3256.0443
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3982.42476 4015.0935 3.0207486 6.0139348 9032.0092 9099.0392
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 1241.88289 1264.6774 1.5597419 3.2242297 3267.1909 3315.5314
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1229.69662 1256.2903 1.5265740 3.0834658 3187.2382 3243.6355
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3969.14250 4001.8112 2.9953330 5.9845160 9016.0476 9083.0776
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1229.08112 1251.8757 1.5297797 3.1106377 3200.5712 3248.9118
obs Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate 3963.35944 3991.3612 2.9881334 6.0287774 9042.4372 9099.8915
obs Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3960.54023 3993.2089 2.9789868 5.9345440 8984.7969 9051.8269
obs Indian (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 3963.24376 3991.2455 2.9879135 5.9437209 8985.6700 9043.1242
obs Indian (28.1,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4780.21130 4814.5235 2.6606011 5.4763845 11513.7536 11584.6186
obs Indian (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4814.82168 4849.1338 2.7073268 5.5105877 11536.1602 11607.0252
obs Indian (28.1,28.2] cstar_tref ~ sal + aou + phosphate + phosphate_star 4784.13460 4813.5450 2.6685402 5.4905063 11521.6821 11582.4236
obs Indian (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 4814.94425 4844.3547 2.7102189 5.5155680 11536.3216 11597.0630
mod Indian (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate 2024.95701 2052.2806 1.0149015 2.3153221 5403.5729 5460.3490
mod Indian (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 2014.94915 2046.8267 1.0062584 2.3021059 5388.5122 5454.7510
obs Indian (28.1,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4786.10780 4820.4200 2.6685042 5.4844703 11519.8277 11590.6927
obs Indian (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 4798.85664 4833.1688 2.6856721 5.4901191 11521.3534 11592.2184
obs Indian (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4831.64842 4865.9606 2.7303392 5.5519557 11570.8567 11641.7217
mod Indian (28.1,28.2] cstar_tref ~ sal + temp + nitrate 2023.44611 2046.2158 1.0152551 2.3263280 5416.3944 5463.7078
mod Indian (28.1,28.2] cstar_tref ~ sal + temp + nitrate + phosphate 1797.32919 1824.6528 0.8630035 2.0431497 4981.6520 5038.4282
mod Indian (28.1,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 2009.52138 2036.8450 1.0038047 2.2839578 5356.6896 5413.4657
mod Indian (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate 2016.73364 2044.0572 1.0089745 2.3067871 5391.3304 5448.1065
mod Indian (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2010.58881 2042.4663 1.0031382 2.2832565 5359.7026 5425.9415
obs Indian (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4829.47665 4863.7888 2.7273581 5.5711534 11590.1223 11660.9873
obs Indian (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4830.91543 4865.2276 2.7293327 5.5475400 11566.8135 11637.6786
obs Indian (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 4830.21947 4859.6299 2.7311236 5.5838303 11597.4317 11658.1731
mod Indian (28.1,28.2] cstar_tref ~ temp + aou + nitrate + silicate 2040.39750 2067.7211 1.0261244 2.3273475 5420.2483 5477.0244
mod Indian (28.1,28.2] cstar_tref ~ temp + nitrate + phosphate 1846.06959 1868.8393 0.8947628 2.1004748 5071.2992 5118.6127
mod Indian (28.1,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 2012.70944 2040.0330 1.0060866 2.3050414 5389.0674 5445.8435
mod Indian (28.2,28.3] cstar_tref ~ aou + nitrate + silicate + phosphate_star 1685.81226 1716.2874 0.4897410 1.1032820 4543.0682 4605.5375
mod Indian (28.2,28.3] cstar_tref ~ sal + aou + nitrate + phosphate_star 1516.71724 1547.1923 0.4560711 1.0633636 4342.6697 4405.1391
mod Indian (28.2,28.3] cstar_tref ~ sal + aou + nitrate + silicate 1603.77747 1634.2526 0.4731068 1.0805886 4430.6830 4493.1523
mod Indian (28.2,28.3] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1487.79333 1523.3476 0.4501688 1.0552922 4304.8041 4377.6850
mod Indian (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1515.21994 1550.7742 0.4553998 1.0551658 4305.0364 4377.9173
obs Indian (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1962.97513 1991.8479 2.0409582 5.0546212 5205.2565 5265.3596
mod Indian (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1515.03962 1550.5939 0.4553652 1.0551338 4304.8696 4377.7505
mod Indian (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + silicate 1518.91330 1554.4676 0.4561088 1.0489529 4273.2323 4346.1132
obs Indian (28.2,28.3] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1969.21125 1998.0840 2.0549310 5.0505488 5203.8052 5263.9083
obs Indian (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 1966.78244 1995.6552 2.0494776 5.0476987 5202.4883 5262.5913
obs Indian (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1963.11749 1991.9903 2.0412761 5.0620803 5208.4284 5268.5314
mod Indian (28.2,28.3] cstar_tref ~ sal + temp + nitrate + phosphate 1640.57678 1671.0519 0.4804975 1.1103963 4578.2950 4640.7643
mod Indian (28.2,28.3] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1515.29640 1550.8507 0.4554144 1.0551779 4305.0999 4377.9808
mod Indian (28.2,28.3] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1628.78559 1664.3399 0.4777143 1.0670786 4365.1021 4437.9830
obs Indian (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1963.81051 1992.6833 2.0428244 5.0528101 5204.5291 5264.6321
obs Indian (28.2,28.3] cstar_tref ~ temp + aou + nitrate + phosphate 1962.43992 1987.1880 2.0442316 5.0692041 5207.5158 5259.0327
obs Indian (28.2,28.3] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1963.51768 1992.3905 2.0421700 5.0487079 5202.7692 5262.8722
obs Indian (28.2,28.3] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1963.34897 1992.2218 2.0417931 5.0598950 5207.5143 5267.6173
obs Indian (28.2,28.3] cstar_tref ~ temp + aou + phosphate + phosphate_star 1969.78262 1994.5307 2.0607203 5.0696576 5208.0552 5259.5721
obs Indian (28.2,28.3] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1958.49965 1987.3724 2.0309888 5.0656654 5209.6752 5269.7783
mod Indian (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1502.44027 1537.3978 0.4789458 0.8814305 2957.4757 3029.2224
mod Indian (28.3,28.4] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 1556.81771 1586.7813 0.4914935 0.8945783 3014.0730 3075.5701
obs Indian (28.3,28.4] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1222.32834 1247.5173 2.2675649 5.2854525 2906.8825 2958.6862
obs Indian (28.3,28.4] cstar_tref ~ sal + aou + nitrate + phosphate_star 1220.47456 1242.0651 2.2681790 5.2906476 2904.0328 2948.4360
mod Indian (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1373.04593 1408.0035 0.4513451 0.8764129 2982.6851 3054.4318
obs Indian (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1222.62392 1247.8129 2.2688065 5.3114597 2912.5884 2964.3922
obs Indian (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1220.97528 1246.1642 2.2618903 5.2801032 2905.6008 2957.4045
mod Indian (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1466.89626 1501.8538 0.4712001 0.9123932 3181.9820 3253.7287
obs Indian (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1220.57555 1245.7645 2.2602165 5.3078761 2911.6284 2963.4322
obs Indian (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate_star 1219.02833 1240.6189 2.2621125 5.3097968 2908.0866 2952.4898
mod Indian (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1458.21942 1493.1770 0.4693284 0.8721522 2915.6406 2987.3873
obs Indian (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1220.68005 1245.8690 2.2606540 5.2962022 2909.0969 2960.9007
obs Indian (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1222.11324 1247.3022 2.2666618 5.2882748 2907.4840 2959.2878
mod Indian (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + silicate 1448.27911 1483.2366 0.4671932 0.8822129 2990.1691 3061.9158
obs Indian (28.3,28.4] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1222.04195 1247.2309 2.2663626 5.3116678 2912.5832 2964.3870
mod Indian (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate 1466.24165 1501.1992 0.4710587 0.9109981 3173.2691 3245.0157
mod Indian (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1466.44584 1501.4034 0.4711028 0.9116055 3177.0968 3248.8435
obs Indian (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1220.29506 1245.4840 2.2590429 5.3050218 2910.9828 2962.7866
mod Indian (28.3,28.4] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1467.29589 1502.2534 0.4712865 0.9119846 3179.2027 3250.9494
mod Indian (28.3,28.4] cstar_tref ~ temp + aou + nitrate + silicate 1570.00734 1599.9709 0.4944762 0.9120188 3127.0610 3188.5581
obs Indian (28.4, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate -Inf -Inf 0.0000000 2.1028693 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate -Inf -Inf 0.0000000 2.1030813 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star -Inf -Inf 0.0000000 2.1026264 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate -Inf -Inf 0.0000000 2.1257334 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star -Inf -Inf 0.0000000 2.1171281 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star -Inf -Inf 0.0000000 2.1225897 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate -Inf -Inf 0.0000000 2.0956050 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate -Inf -Inf 0.0000000 2.1166767 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star -Inf -Inf 0.0000000 2.0968954 -Inf -Inf
obs Indian (28.4, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star -Inf -Inf 0.0000000 2.1113160 -Inf -Inf
obs Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8667.88050 8704.4077 5.7736534 12.3365235 20602.8045 20677.8238
obs Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8881.15773 8917.6850 6.2431562 13.0620854 20954.3290 21029.3483
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 5892.38269 5921.3550 5.8304065 11.3887800 13790.1407 13849.9367
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 8826.94282 8858.2519 6.1247963 12.7683769 20804.0165 20868.3188
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5791.98886 5825.7898 5.5161426 11.0377271 13675.0390 13744.8009
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8756.31944 8792.8467 5.9638964 12.4450430 20645.9830 20721.0023
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5770.30739 5804.1084 5.4518032 10.9752069 13654.1864 13723.9483
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8765.51301 8802.0402 5.9840290 12.4676720 20656.5675 20731.5868
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 5819.93028 5853.7313 5.6001794 10.6457651 13476.1602 13545.9221
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 8801.32923 8837.8565 6.0631120 12.7004042 20776.9823 20852.0017
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6009.37023 6043.1712 6.2047146 12.2139037 14105.3367 14175.0987
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 8983.26023 9019.7875 6.4812504 13.3413196 21078.1579 21153.1773
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6013.92607 6047.7271 6.2200299 12.2668097 14125.5825 14195.3444
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5733.64702 5767.4480 5.3447168 10.9146996 13638.6546 13708.4165
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8805.41932 8841.9466 6.0722093 12.5761592 20707.7691 20782.7884
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6020.30405 6054.1050 6.2415341 12.3227749 14146.2586 14216.0206
mod Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6033.93964 6067.7406 6.2877580 12.2491311 14109.8059 14179.5678
obs Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 9001.91087 9038.4381 6.5257129 13.3846674 21096.2216 21171.2409
mod Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5939.95770 5973.7587 5.9759826 11.6048081 13871.4055 13941.1674
obs Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 8993.25604 9029.7833 6.5050423 13.2855545 21046.0202 21121.0395
mod Pacific (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 7371.28043 7407.7923 3.6108982 6.7038303 16344.2526 16419.0680
obs Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 9565.41480 9603.0196 4.8683894 9.3336201 19864.4500 19940.3822
obs Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 9584.44317 9622.0480 4.8975896 9.3748445 19892.9660 19968.8982
mod Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 7082.70235 7119.2142 3.2476759 6.1699350 15856.0974 15930.9127
obs Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 9568.86950 9606.4743 4.8736779 9.3211117 19853.8152 19929.7474
mod Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7072.78619 7109.2980 3.2358662 6.1820176 15874.8110 15949.6263
obs Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9612.13310 9649.7379 4.9403947 9.4229492 19924.8295 20000.7617
obs Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9588.17650 9625.7813 4.9033392 9.3855369 19900.5921 19976.5243
obs Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9571.40134 9609.0062 4.8775573 9.5460650 20027.4981 20103.4303
mod Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7082.23898 7118.7508 3.2471231 6.2114493 15905.8875 15980.7028
obs Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9613.25355 9650.8584 4.9421346 9.4296677 19929.8662 20005.7984
mod Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 7054.35162 7090.8634 3.2140256 6.1260068 15815.3587 15890.1741
obs Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 9636.92495 9674.5298 4.9790370 9.4551735 19944.5664 20020.4986
mod Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7020.09391 7056.6057 3.1738290 6.0775204 15771.0774 15845.8928
obs Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 9666.75766 9704.3625 5.0259373 9.5224886 19990.4531 20066.3853
mod Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 7138.78219 7170.0780 3.3177167 6.3430709 16032.0811 16096.2085
mod Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 7124.54545 7155.8413 3.3004096 6.3231567 16014.8132 16078.9407
mod Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7022.76732 7059.2791 3.1769477 6.0902184 15785.3311 15860.1465
obs Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 9675.03826 9712.6431 5.0390334 9.5446767 20005.8600 20081.7922
mod Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7130.95735 7162.2532 3.3081931 6.3391459 16030.7568 16094.8843
obs Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 9460.75532 9498.1321 5.1975628 10.2364083 19585.0200 19660.3199
obs Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 9466.72420 9504.1010 5.2076451 10.2970413 19624.2296 19699.5294
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 7270.40116 7307.4808 2.8269318 5.3492614 15080.9491 15155.9434
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7329.12320 7366.2028 2.8837289 5.4690999 15221.7771 15296.7714
obs Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9468.01888 9505.3956 5.2098346 10.3087225 19631.7290 19707.0288
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7857.58340 7894.6630 3.4490606 6.5619515 16367.8183 16442.8126
obs Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9508.96274 9546.3395 5.2795538 10.5877205 19806.6190 19881.9188
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7343.52355 7380.6032 2.8978306 5.4970001 15253.8815 15328.8758
obs Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 9493.67716 9525.7144 5.2568294 10.4650639 19726.0447 19790.5875
obs Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 9503.41561 9535.4528 5.2734770 10.5376830 19771.3789 19835.9217
mod Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 7224.99718 7262.0768 2.7837841 5.3406102 15080.7248 15155.7190
obs Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 9406.05951 9443.4363 5.1060772 10.2745071 19614.8794 19690.1792
mod Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7322.59846 7359.6781 2.8773621 5.5006997 15263.7401 15338.7344
obs Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 9431.56898 9468.9457 5.1485429 10.3865666 19684.9287 19760.2286
mod Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 7331.43260 7363.2151 2.8879418 5.4767052 15226.4480 15290.7288
mod Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 7404.84172 7436.6243 2.9606583 5.6126538 15380.1203 15444.4011
obs Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 9504.95038 9536.9876 5.2761054 10.5491437 19778.4961 19843.0388
mod Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7348.36083 7385.4405 2.9025830 5.5426437 15310.6375 15385.6317
obs Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 9436.76527 9474.1420 5.1572363 10.4073174 19697.7815 19773.0813
mod Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7421.80818 7453.5907 2.9777235 5.6442340 15415.2411 15479.5219
obs Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 12075.36687 12108.7895 5.4204381 10.3909506 25229.0295 25296.5581
mod Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8375.37858 8413.4308 2.8465010 5.4976441 18118.3078 18195.6774
obs Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 12108.50985 12147.5029 5.4641205 10.4535968 25280.7295 25359.5129
mod Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8500.05957 8538.1118 2.9530776 5.7543610 18466.8613 18544.2309
obs Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 12139.51795 12178.5110 5.5079635 10.5478189 25355.4195 25434.2029
mod Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 8770.01836 8808.0706 3.1977096 5.9591930 18678.6657 18756.0354
mod Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8516.62235 8554.6745 2.9675325 5.7851299 18507.0234 18584.3930
obs Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 12142.09194 12181.0850 5.5116187 10.5584023 25363.9665 25442.7499
mod Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8490.25676 8528.3090 2.9445556 5.7055032 18398.1155 18475.4851
obs Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 12107.89699 12141.3197 5.4660744 10.4773155 25297.0421 25364.5707
obs Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 12138.28175 12171.7044 5.5090479 10.5691853 25369.6460 25437.1746
mod Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 8168.94222 8206.9944 2.6784299 5.1454363 17619.3225 17696.6921
obs Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12078.52831 12117.5214 5.4220609 10.4162297 25254.8354 25333.6187
mod Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 8228.31504 8266.3672 2.7257252 5.2508316 17773.2961 17850.6658
obs Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 12116.21758 12155.2107 5.4749859 10.5252728 25341.1094 25419.8927
mod Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 8785.13938 8817.7555 3.2138908 5.9900366 18713.3080 18779.6249
obs Pacific (26.75,27] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 12140.67629 12174.0989 5.5124489 10.5784025 25377.0354 25444.5640
mod Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 8239.01190 8277.0641 2.7343345 5.2706161 17801.9391 17879.3087
obs Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 12122.09051 12161.0836 5.4832794 10.5418249 25354.0867 25432.8701
mod Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 8534.62591 8567.2421 2.9850845 5.7637178 18466.4342 18532.7511
obs Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 13774.27148 13814.4317 4.8688895 9.1750859 30906.7670 30988.9085
obs Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 13772.38455 13806.8076 4.8690096 9.1771088 30905.5070 30975.9140
mod Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8678.85724 8717.6267 2.4272798 4.6104228 18714.7091 18793.5959
obs Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 13829.18056 13869.3408 4.9275618 9.1957543 30908.9673 30991.1088
mod Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8804.13708 8842.9065 2.5095615 4.7652032 18988.8286 19067.7154
obs Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 13853.82739 13893.9877 4.9541273 9.2532954 30976.6104 31058.7520
obs Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 13868.93257 13903.3557 4.9726481 9.3166421 31051.3914 31121.7984
obs Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 13770.08835 13810.2486 4.8644485 9.1477461 30870.8809 30953.0225
obs Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13792.78758 13832.9478 4.8885962 9.2004246 30933.0548 31015.1963
mod Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8809.76847 8848.5379 2.5133250 4.7749420 19006.5131 19085.3999
obs Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 13855.62690 13895.7872 4.9560725 9.2595235 30984.3305 31066.4720
mod Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8867.15603 8905.9255 2.5519999 4.9532945 19336.9325 19415.8193
obs Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13804.44230 13844.6026 4.9010411 9.1872180 30909.2305 30991.3720
obs Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13789.77223 13829.9325 4.8853815 9.1947991 30926.7140 31008.8555
mod Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate 8722.44698 8755.6780 2.4569054 4.6910409 18861.4913 18929.1085
mod Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 8835.36622 8868.5972 2.5318501 4.8346355 19112.2984 19179.9157
mod Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 8700.25116 8739.0206 2.4411375 4.6676898 18825.8051 18904.6919
mod Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 8789.40495 8828.1744 2.4997428 4.7815544 19026.6508 19105.5376
mod Pacific (27,27.25] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 8838.21184 8871.4428 2.5337680 4.8405673 19123.0786 19190.6958
mod Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 8793.75489 8832.5243 2.5026380 4.7887672 19039.6133 19118.5002
mod Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 10209.16220 10248.7400 2.7131822 4.8661989 22695.3855 22776.6562
obs Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12318.40230 12358.5166 3.6072670 7.4404418 28996.5980 29078.7941
mod Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 10250.76531 10290.3431 2.7400754 4.9602814 22912.3341 22993.6048
obs Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 12464.92990 12505.0442 3.7252203 7.7196203 29391.6439 29473.8400
obs Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 12342.98446 12377.3681 3.6283846 7.4743835 29039.3269 29109.7807
mod Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 10232.00137 10271.5792 2.7279131 4.9263547 22837.3590 22918.6297
obs Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 12386.33137 12426.4457 3.6614776 7.5797703 29197.0058 29279.2019
obs Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 12458.28487 12492.6686 3.7214226 7.6840679 29334.8541 29405.3079
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10607.49708 10647.0749 2.9818953 5.2973179 23508.6734 23589.9440
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 10396.97598 10436.5538 2.8367214 5.1625237 23323.6746 23404.9452
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 12312.59217 12352.7065 3.6026677 7.3640675 28876.7698 28958.9659
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10417.73443 10457.3122 2.8507164 5.1997134 23401.0556 23482.3263
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12325.70895 12365.8233 3.6130593 7.3820601 28902.0636 28984.2597
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 10299.39233 10338.9701 2.7718470 5.1179861 23275.7670 23357.0377
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10537.82491 10577.4027 2.9330455 5.1626315 23223.4499 23304.7205
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12386.71748 12426.8318 3.6617880 7.4272045 28957.3329 29039.5290
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 10404.46458 10438.3884 2.8431099 5.2051922 23417.4833 23487.1439
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10389.72926 10429.3070 2.8318520 5.1672210 23339.8502 23421.1208
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12323.33791 12363.4522 3.6111787 7.3793146 28898.3083 28980.5044
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 12552.75034 12587.1340 3.7994238 7.6377213 29237.0020 29307.4558
mod Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 11016.10517 11056.1484 2.7777325 4.7600199 23480.9898 23562.9837
obs Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 13207.80804 13248.4206 3.5936979 6.8695778 28990.4456 29073.1632
mod Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 10906.59928 10946.6425 2.7110702 4.6141646 23130.1241 23212.1179
obs Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 13377.57983 13418.1924 3.7206556 7.3378930 29760.1164 29842.8340
obs Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 13318.60067 13353.4115 3.6775534 7.1165794 29393.3761 29464.2769
mod Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 11013.59704 11047.9198 2.7774194 4.7378590 23410.8722 23481.1526
mod Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 10934.12334 10974.1666 2.7276736 4.6463326 23205.8685 23287.8623
obs Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 13239.89307 13280.5057 3.6173549 6.9973785 29211.9351 29294.6527
obs Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 13393.59176 13428.4026 3.7343856 7.3572143 29783.4759 29854.3767
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 10496.52482 10536.5681 2.4753394 4.1483099 21957.0774 22039.0712
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 10494.88837 10529.2111 2.4755391 4.1538006 21972.1345 22042.4149
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 13302.09297 13342.7056 3.6636609 6.8404846 28898.9059 28981.6235
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10355.77386 10395.8171 2.3992473 4.0579728 21765.7033 21847.6972
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13246.72908 13287.3417 3.6224154 6.7965433 28838.4044 28921.1220
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 10704.53702 10744.5802 2.5922350 4.3581894 22485.3055 22567.2994
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13381.71069 13422.3233 3.7237999 6.9081957 28992.9318 29075.6494
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 10753.35828 10787.6810 2.6216241 4.4006373 22575.7427 22646.0231
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10348.22029 10388.2635 2.3952305 4.0509922 21747.5624 21829.5562
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13257.88485 13298.4975 3.6306888 6.8049073 28849.7329 28932.4505
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 13466.48358 13501.2944 3.7904684 6.9760761 29078.0074 29148.9082
mod Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 6006.02787 6037.8509 1.8182864 3.2120821 12107.8991 12172.4885
mod Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 6005.55046 6042.6774 1.8167714 3.2055892 12096.9778 12172.3321
mod Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6006.27099 6043.3979 1.8172119 3.2042237 12093.1728 12168.5272
mod Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate 6028.68645 6060.5095 1.8322020 3.2349235 12152.7594 12217.3489
mod Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6008.48699 6045.6139 1.8185673 3.2044639 12092.5910 12167.9454
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 6007.91963 6045.0465 1.8182202 3.2025574 12088.1082 12163.4626
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 13104.93428 13145.0731 4.2443917 7.1675409 24864.3370 24944.8318
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6044.81514 6081.9420 1.8409330 3.2360789 12152.0539 12227.4083
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13072.18865 13112.3275 4.2140878 7.1341439 24826.6006 24907.0955
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate 6054.99638 6086.8194 1.8484938 3.2356704 12140.3112 12204.9006
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 6017.76051 6054.8874 1.8242507 3.2087122 12098.2614 12173.6158
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6046.67389 6083.8008 1.8420847 3.2282028 12131.3338 12206.6882
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13051.26216 13091.4010 4.1948352 7.1113531 24799.9588 24880.4536
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13071.73738 13111.8762 4.2136717 7.1335311 24825.8318 24906.3266
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 13070.74606 13105.1508 4.2146019 7.1608925 24865.3208 24934.3163
obs Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13042.24959 13082.3884 4.1865707 7.1195271 24817.4413 24897.9362
obs Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 13016.76966 13056.9085 4.1632935 7.0942296 24788.7131 24869.2079
obs Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 13022.55733 13062.6962 4.1685694 7.0993997 24794.3306 24874.8254
obs Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 13071.26967 13105.6744 4.2150848 7.1513760 24849.8182 24918.8138
obs Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 13108.06079 13142.4655 4.2491556 7.1807609 24879.0805 24948.0761
mod Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 6486.04783 6518.5135 1.7128346 2.9943448 12802.5575 12868.2924
mod Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 6487.58801 6525.4647 1.7125966 2.9911117 12797.2484 12873.9391
mod Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6472.45271 6510.3294 1.7047787 2.9862543 12790.8605 12867.5512
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6328.05136 6365.9280 1.6319623 2.8989366 12603.4176 12680.1083
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 6344.62969 6382.5064 1.6401616 2.8825597 12545.9136 12622.6043
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 6464.92425 6497.3900 1.7019320 3.0347540 12929.9127 12995.6476
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 14110.55003 14151.9753 3.1512651 5.9467021 28551.6314 28634.9789
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6450.14525 6488.0219 1.6933212 2.9696663 12753.3808 12830.0715
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14079.49897 14120.9243 3.1334986 5.9330974 28529.3518 28612.6993
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6321.05081 6358.9275 1.6285123 2.8936021 12590.7876 12667.4783
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14060.94337 14102.3687 3.1229294 5.9095389 28483.3767 28566.7242
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 6462.35005 6494.8158 1.7006081 3.0324097 12924.4419 12990.1768
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6448.44351 6486.3202 1.6924504 2.9683036 12750.2216 12826.9123
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14079.46528 14120.8906 3.1334794 5.9332822 28529.7478 28613.0953
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 14077.49901 14113.0064 3.1334986 5.9378418 28535.3350 28606.7757
obs Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14055.18529 14096.6106 3.1196569 5.9120567 28489.8574 28573.2049
obs Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14035.89541 14077.3207 3.1087188 5.9060359 28480.9410 28564.2885
obs Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14038.27138 14079.6967 3.1100640 5.9072342 28483.0074 28566.3549
obs Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 14080.18601 14115.6934 3.1350321 5.9330037 28524.6110 28596.0517
obs Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14123.78284 14159.2902 3.1600177 5.9733553 28600.4989 28671.9396
mod Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate 6576.05857 6608.6143 1.7088384 3.0233788 12589.3997 12654.8380
obs Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18387.17929 18430.0794 3.6363118 6.5817830 37565.1012 37651.7629
mod Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 6592.33158 6624.8873 1.7171396 3.0314572 12605.0718 12670.5100
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 18121.55407 18164.4542 3.4966038 6.5302337 37525.6136 37612.2753
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 6317.08961 6349.6453 1.5820063 2.7994968 12058.4693 12123.9075
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 6445.81348 6478.3692 1.6438275 2.9932448 12552.0095 12617.4478
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 18408.43054 18451.3306 3.6477273 6.5918528 37582.8483 37669.5101
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6196.19138 6234.1731 1.5251538 2.6523901 11666.4480 11742.7927
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 18196.92541 18239.8255 3.5356914 6.6111163 37705.9075 37792.5692
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 6424.11238 6456.6681 1.6332385 2.9532025 12452.0538 12517.4920
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6232.49979 6270.4815 1.5417340 2.6996407 11797.9485 11874.2931
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18301.93739 18344.8375 3.5908802 6.5496533 37514.4101 37601.0719
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 6315.07715 6347.6329 1.5810585 2.7982333 12055.5373 12120.9756
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6195.66157 6233.6432 1.5249131 2.6521087 11665.7898 11742.1345
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 6253.92432 6286.4800 1.5525263 2.7464928 11926.1186 11991.5569
obs Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate 18119.73829 18156.5098 3.4966988 6.5306907 37522.7127 37596.9942
obs Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18120.33399 18163.2341 3.4959746 6.4414804 37298.3459 37385.0077
obs Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 18207.40472 18250.3048 3.5411605 6.4953548 37408.0020 37494.6637
obs Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 18184.55861 18227.4587 3.5292482 6.4821503 37381.8012 37468.4630
obs Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 18302.92047 18339.6920 3.5924605 6.5584466 37532.0640 37606.3455
obs Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 14387.44285 14429.3958 2.7406303 5.4707646 28068.7947 28152.3591
obs Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 14470.68910 14506.6488 2.7803665 5.5160752 28161.5448 28233.1715
obs Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 14496.04228 14537.9953 2.7913524 5.5396892 28214.8725 28298.4369
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 4915.78334 4946.7670 1.6141531 2.6407564 8902.0670 8964.4079
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14366.77765 14408.7306 2.7310833 5.5293198 28187.0911 28270.6555
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 4803.85955 4840.0072 1.5445341 2.5623703 8768.5579 8841.2890
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 5002.83359 5033.8173 1.6694573 2.7877924 9224.4774 9286.8184
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 5002.79046 5033.7741 1.6694295 2.7913534 9233.2453 9295.5862
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 4769.89625 4806.0439 1.5243660 2.5288586 8698.3042 8771.0353
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 14424.77541 14466.7284 2.7579619 5.4759092 28080.8945 28164.4589
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4770.01145 4806.1591 1.5244340 2.5323438 8707.7588 8780.4899
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14464.26770 14506.2207 2.7764155 5.4954377 28122.6170 28206.1814
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4769.64474 4805.7924 1.5242176 2.5413163 8732.3496 8805.0807
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14436.07994 14478.0329 2.7632316 5.5028560 28137.0028 28220.5672
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 5002.77308 5033.7568 1.6694182 2.7928971 9237.0365 9299.3775
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4770.00786 4806.1555 1.5244319 2.5329196 8709.3317 8782.0628
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14463.15165 14505.1046 2.7758923 5.4936651 28118.9087 28202.4732
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 4768.64885 4799.6325 1.5248100 2.5806271 8832.0959 8894.4368
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 14463.28844 14499.2481 2.7768941 5.5165186 28162.2114 28233.8381
obs Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14431.11436 14473.0673 2.7609156 5.5198621 28171.6756 28255.2400
obs Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 11482.75639 11523.4147 2.4872118 4.8313426 21483.9688 21564.4974
obs Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 11519.27651 11559.9348 2.5057350 4.8642653 21547.4222 21627.9508
mod Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 8125.83500 8160.5118 1.3202308 2.4567100 15556.6407 15626.0119
obs Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 11531.72143 11566.5714 2.5130995 4.8580196 21532.4145 21601.4390
obs Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate_star 11562.66473 11597.5147 2.5289485 4.8894514 21592.4873 21661.5118
obs Pacific (28.1,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 11498.50571 11539.1640 2.4951831 4.8464218 21513.0337 21593.5623
obs Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 11550.64158 11585.4915 2.5227785 4.8764438 21567.7061 21636.7306
mod Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate 8384.54819 8419.2250 1.3936246 2.4824961 15610.1173 15679.4884
obs Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 11523.29421 11563.9525 2.5077812 4.9124806 21636.7006 21717.2292
mod Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 7639.39811 7679.8544 1.1920397 2.2226457 14603.2124 14684.1454
mod Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 7431.30137 7471.7576 1.1412785 2.0802244 13948.3949 14029.3279
obs Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 11527.63771 11568.2960 2.5099952 4.8538919 21528.4109 21608.9395
mod Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7446.30433 7486.7606 1.1448648 2.0870764 13980.0499 14060.9829
obs Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11529.88304 11570.5413 2.5111404 4.8594071 21538.8481 21619.3767
mod Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7429.79325 7470.2495 1.1409187 2.0853602 13974.8760 14055.8090
mod Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7445.44568 7485.9019 1.1446592 2.0873677 13981.7197 14062.6527
obs Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11526.61511 11567.2734 2.5094738 4.8550858 21530.6056 21611.1342
mod Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 7461.40476 7496.0816 1.1489662 2.1257299 14165.8779 14235.2491
mod Pacific (28.1,28.2] cstar_tref ~ temp + aou + silicate + phosphate 8508.94265 8543.6195 1.4303527 2.4689843 15507.9597 15577.3308
mod Pacific (28.1,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 8530.81005 8565.4869 1.4369085 2.4842376 15569.8217 15639.1928
obs Pacific (28.2,28.3] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3394.26703 3427.1290 1.9597381 4.3884573 5520.8402 5582.5902
obs Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3368.15706 3401.0190 1.9283288 4.3569313 5494.6862 5556.4362
obs Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3364.05547 3396.9174 1.9234407 4.3772539 5500.0444 5561.7944
mod Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate 10232.10617 10270.4109 0.7776645 1.3795438 18935.5160 19012.6401
mod Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate_star 10443.14662 10481.4513 0.7966401 1.4467185 19881.3246 19958.4487
obs Pacific (28.2,28.3] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3371.45804 3404.3200 1.9322718 4.4107665 5516.6144 5578.3645
mod Pacific (28.2,28.3] cstar_tref ~ sal + nitrate + silicate + phosphate_star 10534.72026 10573.0250 0.8050174 1.4540721 19957.8675 20034.9916
mod Pacific (28.2,28.3] cstar_tref ~ sal + silicate + phosphate + phosphate_star 10350.23413 10388.5388 0.7882295 1.4378712 19782.0029 19859.1269
obs Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3370.44000 3403.3019 1.9310549 4.3718824 5501.5685 5563.3185
obs Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3374.84339 3407.7053 1.9363239 4.4316809 5526.2106 5587.9606
mod Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + silicate 10317.32591 10362.0147 0.7850926 1.4693720 20246.5505 20336.5286
mod Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 9975.23022 10019.9191 0.7550039 1.3274789 18202.9011 18292.8792
mod Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9983.79787 10028.4867 0.7557432 1.3295661 18233.9000 18323.8781
obs Pacific (28.2,28.3] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3364.45195 3397.3139 1.9239126 4.3821039 5502.0737 5563.8237
mod Pacific (28.2,28.3] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10052.35559 10097.0444 0.7616851 1.3204580 18048.9602 18138.9382
mod Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9982.09998 10026.7888 0.7555966 1.3295484 18234.3441 18324.3221
mod Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate_star 10212.74455 10251.0493 0.7759464 1.3736456 18849.6795 18926.8036
obs Pacific (28.2,28.3] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3418.34503 3451.2070 1.9891564 4.4185026 5545.1546 5606.9047
obs Pacific (28.2,28.3] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3392.62904 3425.4910 1.9577527 4.3877158 5519.6712 5581.4212
obs Pacific (28.2,28.3] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3395.29338 3428.1553 1.9609832 4.4013259 5526.2399 5587.9899
mod Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate 6942.83426 6977.0847 1.1470043 1.9049709 11008.3045 11075.4443
mod Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate_star 6905.93781 6940.1883 1.1375419 1.8603405 10802.7520 10869.8918
mod Pacific (28.3,28.4] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 6958.69311 6992.9436 1.1510956 1.8915541 10941.2007 11008.3405
mod Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 6925.33625 6965.2951 1.1419941 1.8991873 10989.1821 11067.5119
obs Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 503.35081 523.1490 1.7133743 4.1375834 720.1419 752.4294
mod Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6905.61728 6945.5762 1.1369494 1.8569004 10790.4182 10868.7480
mod Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate 6975.21277 7009.4632 1.1553729 1.9181225 11063.0141 11130.1539
obs Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate 502.10336 519.0732 1.7185397 4.1435126 716.9221 744.5972
obs Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 503.53760 523.3358 1.7146550 4.1379041 720.2938 752.5813
mod Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate_star 7044.23384 7078.4843 1.1734164 1.9234498 11072.3521 11139.4919
mod Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate 7102.74641 7142.7053 1.1883997 1.9156034 11023.1305 11101.4603
obs Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate 503.20112 522.9993 1.7123487 4.0997069 718.6442 750.9317
obs Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 502.43482 522.2330 1.7071080 4.1765271 720.8519 753.1394
obs Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate 505.19684 524.9950 1.7260729 4.1741033 722.8484 755.1359
obs Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + phosphate 509.78816 526.7580 1.7721865 4.1595647 723.2320 750.9070
mod Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 7104.03376 7143.9926 1.1887432 1.9168338 11028.7447 11107.0745
obs Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 504.51267 524.3109 1.7213557 4.1063722 719.8694 752.1569
obs Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 503.89238 523.6906 1.7170900 4.0990145 719.1349 751.4225
mod Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7020.07390 7060.0328 1.1665448 1.9086415 11012.4273 11090.7570
obs Pacific (28.3,28.4] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 505.36876 525.1670 1.7272603 4.1789108 723.1504 755.4379

7.3 Target variable coefficients

A data frame to map the target variable is prepared.

# extend best model selection with coefficients

lm_best <- left_join(
  lm_best,
  GLODAP_tidy %>% select(data_source, basin, gamma_slab, era, model, term, estimate)
)

7.4 dcant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of dcant.

# subtract coefficients of adjacent era  
lm_best_dcant <- lm_best %>%
  select(-c(AIC, BIC, rmse, aic_sum, bic_sum, rmse_sum)) %>% 
  arrange(era) %>%
  group_by(data_source, basin, gamma_slab, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot to wide format
lm_best_dcant <- lm_best_dcant %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)
# create table of target variable coefficients in wide format
lm_best_target <- lm_best %>% 
  select(-c(AIC, BIC, rmse, aic_sum, bic_sum, rmse_sum)) %>% 
  pivot_wider(names_from = "term",
              names_prefix = "coeff_",
              values_from = "estimate",
              values_fill = 0
              )
GLODAP_augmented_best <- left_join(
  lm_best_target %>% select(data_source, basin, gamma_slab, era, model),
  GLODAP_augmented
)

7.5 Write files

lm_best_target %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_dcant %>%
  write_csv(paste(path_version_data,
                  "lm_best_dcant.csv",
                  sep = ""))

GLODAP_augmented_best %>%
  write_csv(paste(path_version_data,
                  "lm_residuals_best_models.csv",
                  sep = ""))

8 Model diagnotics

8.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

8.1.1 All models

GLODAP_glanced %>%
  group_split(era) %>%
  # head(1) %>%
  map(
    ~ ggplot(data = .x,
             aes(
               as.factor(n_predictors),
               !!sym(params_local$MLR_criterion),
               col = data_source
             )) +
      geom_hline(yintercept = c(0, 10)) +
      geom_boxplot() +
      facet_grid(gamma_slab ~ basin) +
      scale_color_brewer(palette = "Set1") +
      ylim(c(0, NA)) +
      labs(x = "Number of predictors",
           title = paste("Era:", unique(.x$era)))
  )
[[1]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17 

[[2]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26

8.1.2 Best models

left_join(lm_best_target %>% select(basin, gamma_slab, era, model),
          GLODAP_glanced) %>%
  group_split(era) %>%
  # head(1) %>%
  imap(
  ~ ggplot(data = .x,
         aes("",
             !!sym(params_local$MLR_criterion),
             col = data_source)) +
  geom_hline(yintercept = c(0, 10)) +
  geom_boxplot() +
  facet_grid(gamma_slab ~ basin) +
  scale_color_brewer(palette = "Set1") +
  ylim(c(0, NA)) +
  labs(x = "Number of predictors pooled",
           title = paste("Era:", unique(.x$era)))
  )
[[1]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
c6b3da6 jens-daniel-mueller 2021-06-14
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17 

[[2]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26

8.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjecent eras (ie check whether the same predictor combination performs equal in both eras).

8.2.1 All models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_all$rmse,
        lm_all$rmse_sum - lm_all$rmse))

lm_all %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0, max_rmse),
              ylim = c(0, max_rmse)) +
  geom_abline(slope = 1,
              col = 'red') +
  facet_grid(data_source ~ basin)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
e4ca289 jens-daniel-mueller 2020-12-16
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
ba112d3 jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
7c25f7a jens-daniel-mueller 2020-12-02
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
rm(max_rmse)

8.2.2 Best models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

lm_best %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0, max_rmse),
              ylim = c(0, max_rmse)) +
  geom_abline(slope = 1,
              col = 'red') +
  facet_grid(data_source ~ basin)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
a84ff3c jens-daniel-mueller 2020-12-17 
rm(max_rmse)

8.3 Predictor counts

The number of models where a particular predictor was included were counted for each basin, density slab and compared eras

# calculate cases of predictor used
lm_all_stats <- lm_best_dcant %>% 
  pivot_longer(starts_with("delta_coeff_"),
               names_to = "term",
               names_prefix = "delta_coeff_",
               values_to = "delta_coeff") %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(data_source, basin, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n, names_from = term)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "data_source")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - mod
(-Inf,26] 4 8 6 7 10 7 5
(26,26.5] 7 6 6 7 10 6 8
(26.5,26.75] 6 7 6 8 5 6 10
(26.75,27] 8 5 8 5 5 10 7
(27,27.25] 8 8 4 5 6 10 7
(27.25,27.5] 7 10 4 5 6 9 7
(27.5,27.75] 7 2 6 6 10 7 6
(27.75,27.85] 5 4 4 6 10 10 6
(27.85,27.95] 7 3 5 4 9 9 8
(27.95,28.05] 5 1 6 7 7 8 10
(28.05,28.1] 6 1 7 6 7 6 10
(28.1,28.15] 7 NA 7 6 6 6 10
(28.15,28.2] 6 9 3 5 5 5 10
(28.2, Inf] 10 10 1 4 6 5 5
total 93.00 — 73.00 81.00 102.00 104.00 109.00
Indian - mod
(-Inf,26] 5 6 6 8 7 7 10
(26,26.5] 6 4 6 7 4 10 10
(26.5,26.75] 5 5 5 8 4 10 10
(26.75,27] 5 5 5 8 4 10 10
(27,27.25] 4 10 5 7 7 8 8
(27.25,27.5] 6 10 4 6 5 5 10
(27.5,27.75] 2 6 4 8 6 7 10
(27.75,27.85] 4 2 5 9 6 10 5
(27.85,27.95] 3 2 3 10 8 10 6
(27.95,28.05] 4 2 4 8 10 10 5
(28.05,28.1] 5 3 3 7 10 8 9
(28.1,28.2] 3 10 2 3 7 5 10
(28.2,28.3] 7 10 3 6 9 5 6
(28.3,28.4] 7 6 7 6 7 10 5
total 66.00 81.00 62.00 101.00 94.00 115.00 114.00
Pacific - mod
(-Inf,26] 7 7 5 6 8 6 10
(26,26.5] 7 4 7 7 3 10 9
(26.5,26.75] 6 4 6 7 4 10 10
(26.75,27] 6 8 6 6 5 7 10
(27,27.25] 6 10 6 7 4 4 10
(27.25,27.5] 5 6 6 6 10 9 7
(27.5,27.75] 6 5 5 5 10 10 6
(27.75,27.85] 5 9 4 4 10 10 5
(27.85,27.95] 7 6 4 7 10 6 7
(27.95,28.05] 5 3 3 7 10 7 8
(28.05,28.1] 6 3 4 6 10 6 10
(28.1,28.2] 7 3 4 5 8 9 9
(28.2,28.3] 5 3 4 7 10 10 6
(28.3,28.4] 5 10 6 6 7 8 3
total 83.00 81.00 70.00 86.00 109.00 112.00 110.00
Atlantic - obs
(-Inf,26] 8 6 6 6 10 5 8
(26,26.5] 9 8 8 7 5 4 6
(26.5,26.75] 7 7 7 6 6 6 10
(26.75,27] 4 5 5 8 5 10 10
(27,27.25] 6 8 6 8 5 5 10
(27.25,27.5] 7 9 6 8 4 5 9
(27.5,27.75] 7 3 7 7 3 10 9
(27.75,27.85] 5 4 10 5 6 10 6
(27.85,27.95] 5 4 7 6 10 10 5
(27.95,28.05] 5 4 7 6 10 10 5
(28.05,28.1] 4 8 4 9 10 7 6
(28.1,28.15] 4 6 4 10 5 8 10
(28.15,28.2] 5 5 5 9 6 8 10
(28.2, Inf] 7 4 9 4 10 5 7
total 83.00 81.00 91.00 99.00 95.00 103.00 111.00
Indian - obs
(-Inf,26] 5 5 5 8 10 4 10
(26,26.5] 6 7 6 7 7 7 10
(26.5,26.75] 6 7 6 7 7 7 10
(26.75,27] 5 6 6 8 6 8 10
(27,27.25] 6 7 7 7 10 6 6
(27.25,27.5] 6 7 9 4 7 9 7
(27.5,27.75] 6 8 9 3 5 10 6
(27.75,27.85] 4 5 4 9 4 10 10
(27.85,27.95] 7 5 6 6 5 9 10
(27.95,28.05] 10 4 9 3 4 4 8
(28.05,28.1] 8 5 8 3 7 7 9
(28.1,28.2] 7 3 7 7 10 7 6
(28.2,28.3] 8 5 9 6 5 5 10
(28.3,28.4] 9 6 5 9 10 6 3
total 93.00 80.00 96.00 87.00 97.00 99.00 115.00
Pacific - obs
(-Inf,26] 8 8 6 6 8 5 8
(26,26.5] 6 7 6 7 7 7 10
(26.5,26.75] 6 10 6 7 4 4 10
(26.75,27] 7 10 7 7 3 3 9
(27,27.25] 7 5 7 5 10 6 8
(27.25,27.5] 5 4 6 7 10 10 5
(27.5,27.75] 5 4 6 7 10 10 5
(27.75,27.85] 4 5 5 8 5 10 10
(27.85,27.95] 4 5 5 8 5 10 10
(27.95,28.05] 6 9 7 5 5 7 9
(28.05,28.1] 6 5 7 5 9 9 7
(28.1,28.2] 7 4 7 6 10 9 4
(28.2,28.3] 7 10 9 7 6 5 6
(28.3,28.4] 4 8 9 4 10 6 7
total 82.00 94.00 93.00 89.00 102.00 101.00 108.00

8.4 RMSE alternatives

8.4.1 AIC

AIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.

lm_all %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 
lm_best %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17

8.4.2 AIC vs BIC

BIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.

lm_all %>% 
  ggplot(aes(AIC, BIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20

8.5 RMSE vs VIF

GLODAP_glanced %>% 
  ggplot(aes(rmse, log10(vif_max),col=data_source)) +
  geom_hline(yintercept = 1) +
  geom_point() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20

8.6 Residual patterns

8.6.1 Fitted vs true

Plotted are fitted vs actual target variable values, here: rparams_local$MLR_target`

i_binwidth <- 2

p_prop_prop(df = GLODAP_augmented,
            var1 = params_local$MLR_target,
            var2 = ".fitted") +
  facet_grid(basin_AIP ~ data_source) +
  labs(title = "All models")

GLODAP_augmented %>%
  ggplot(aes(!!sym(params_local$MLR_target) - .fitted)) +
  geom_histogram(binwidth = i_binwidth) +
  labs(title = "All models") +
  scale_x_continuous(limits = c(-50,50)) +
  facet_wrap(~data_source)

p_prop_prop(df = GLODAP_augmented_best,
            var1 = params_local$MLR_target,
            var2 = ".fitted") +
  labs(title = "Selected models") +
  facet_grid(basin_AIP ~ data_source)

GLODAP_augmented_best %>%
  ggplot(aes(!!sym(params_local$MLR_target) - .fitted)) +
  geom_histogram(binwidth = i_binwidth) +
  labs(title = "Selected models") +
    scale_x_continuous(limits = c(-50,50)) +
  facet_wrap(~data_source)

8.6.2 Pooled

In the following, we present residual patterns vs latitude across all domains.

i_ylim <- c(-30,30)

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "black") +
  scale_fill_viridis_c(trans = "log10") +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

Due to the few large residuals, we limit the y axis range for the plots below.

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "black") +
  scale_fill_viridis_c(trans = "log10") +
  coord_cartesian(ylim = i_ylim) +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

8.6.3 By model domain

In the following, we present residual patterns vs latitude for separate model domains, ie basins, density slabs and eras.

GLODAP_augmented_best %>% 
  group_split(basin, data_source) %>% 
  # head(1) %>% 
  map(~ ggplot(data = .x, aes(lat, .resid)) +
      geom_bin2d(binwidth = i_binwidth) +
      geom_hline(yintercept = 0, col = "black") +
      scale_fill_viridis_c(trans = "log10") +
      facet_grid(gamma_slab ~ era) +
      coord_cartesian(ylim = i_ylim) +
      labs(
        title = paste(
          "Target:",
          params_local$MLR_target,
          "| best models | basin:",
          unique(.x$basin),
          "| data_source:",
          unique(.x$data_source)
        )
      ))
[[1]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
c6b3da6 jens-daniel-mueller 2021-06-14
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24
071743d jens-daniel-mueller 2021-02-24 

[[2]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24 

[[3]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
c6b3da6 jens-daniel-mueller 2021-06-14
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26 

[[4]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26 

[[5]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14 

[[6]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14

8.6.4 Latitudinal mean

GLODAP_augmented_best <- GLODAP_augmented_best %>%
  mutate(lat_grid = as.numeric(as.character(cut(
    lat,
    seq(-90, 90, 10),
    seq(-85, 85, 10)
  ))))

lat_residual <- GLODAP_augmented_best %>%
  group_by(data_source, basin, gamma_slab, era, lat_grid) %>% 
  summarise(.resid_mean = mean(.resid)) %>% 
  ungroup()

lat_residual %>%
  group_split(basin) %>% 
  map(
  ~ggplot(data = .x,
          aes(lat_grid, .resid_mean, col=era)) +
  geom_line() +
  geom_point() +
  geom_hline(yintercept = 0, col = "black") +
  facet_grid(gamma_slab ~ data_source) +
    labs(title = paste("Basin:", unique(.x$basin)))
  )
[[1]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24 

[[2]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26 

[[3]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14

8.6.5 Latitudinal offset

# calculate residual offset for adjacent eras
lat_residual_offset <- lat_residual  %>%
  select(data_source, basin, gamma_slab, era, lat_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(data_source, basin, gamma_slab, lat_grid) %>% 
  mutate(.resid_mean_offset = .resid_mean - lag(.resid_mean)) %>% 
  ungroup() %>% 
  drop_na()

lat_residual_offset %>%
  ggplot(aes(lat_grid, .resid_mean_offset, col=data_source)) +
  geom_line() +
  geom_point() +
  geom_hline(yintercept = 0, col = "black") +
  facet_grid(gamma_slab ~ basin)

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24

8.6.6 Spatial mean

GLODAP_augmented_best <- GLODAP_augmented_best %>%
  mutate(lon_grid = as.numeric(as.character(cut(
    lon,
    seq(-360, 500, 10),
    seq(-355, 500, 10)
  ))))

spatial_residual <- GLODAP_augmented_best %>%
  group_by(data_source, gamma_slab, era, lat_grid, lon_grid) %>% 
  summarise(.resid_mean = mean(.resid)) %>% 
  ungroup()

spatial_obs <- GLODAP_augmented_best %>%
  distinct(gamma_slab, era, lat, lon)

spatial_residual %>%
  rename(lat = lat_grid,
         lon = lon_grid) %>%
  group_split(data_source, gamma_slab) %>%
  # head(1) %>%
  map(~ p_map_dcant_slab(
    df = .x,
    var = ".resid_mean",
    col = "divergent",
    title_text = "Residual distribution",
    subtitle_text = paste(
      "Data source:",
      unique(.x$data_source),
      "| density slab:",
      unique(.x$gamma_slab)
      ),
    legend_title = paste(params_local$MLR_target, "\nbias")
  ) +
    geom_raster(data = spatial_obs,
                aes(lon, lat)) +
    facet_grid(era ~ .)
  )
[[1]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[2]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[3]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[4]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[5]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[6]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[7]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[8]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[9]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[10]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[11]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[12]]

Version Author Date
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[13]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[14]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[15]]

Version Author Date
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[16]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[17]]

Version Author Date
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
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8.6.7 Spatial offset

# calculate residual offset for adjacent eras
spatial_residual_offset <- spatial_residual  %>%
  select(data_source, gamma_slab, era, lat_grid, lon_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(data_source, gamma_slab, lat_grid, lon_grid) %>% 
  mutate(.resid_mean_offset = .resid_mean - lag(.resid_mean)) %>% 
  ungroup() %>% 
  drop_na()

spatial_obs <- spatial_obs %>% 
  count(lon, lat, gamma_slab) %>% 
  filter(n == 2) %>% 
  select(-n)

spatial_residual_offset %>%
  rename(lat = lat_grid,
         lon = lon_grid) %>%
  group_split(data_source, gamma_slab) %>%
  # head(1) %>%
  map(~ p_map_dcant_slab(
    df = .x,
    var = ".resid_mean_offset",
    col = "divergent",
    title_text = "Residual offset distribution (era 2 - era 1)",
    subtitle_text = paste(
      "Data source:",
      unique(.x$data_source),
      "| density slab:",
      unique(.x$gamma_slab)
      ),
    legend_title = paste(params_local$MLR_target, "\nbias offset")
  ) +
    geom_raster(data = spatial_obs,
                aes(lon, lat))
  )
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9 VIF

GLODAP_glanced %>% 
  ggplot(aes(as.factor(n),
             log10(vif_max),
             col=data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  scale_color_brewer(palette = "Set1") +
  geom_violin() +
  facet_grid(gamma_slab~basin)

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GLODAP_glanced_vif %>% 
  ggplot(aes(Variables,
             log10(VIF),
             col = data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  geom_violin() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin) +
  coord_flip()

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sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] tictoc_1.0.1     gt_0.2.2         corrr_0.4.3      broom_0.7.5     
 [5] kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3      GGally_2.0.0    
 [9] lubridate_1.7.9  ggforce_0.3.3    metR_0.9.0       scico_1.2.0     
[13] patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0    stringr_1.4.0   
[17] dplyr_1.0.5      purrr_0.3.4      readr_1.4.0      tidyr_1.1.2     
[21] tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         utf8_1.1.4               R6_2.5.0                
[10] nortest_1.0-4            DBI_1.1.0                colorspace_1.4-1        
[13] withr_2.3.0              gridExtra_2.3            tidyselect_1.1.0        
[16] curl_4.3                 compiler_4.0.3           git2r_0.27.1            
[19] cli_2.1.0                rvest_0.3.6              xml2_1.3.2              
[22] sass_0.2.0               labeling_0.4.2           scales_1.1.1            
[25] checkmate_2.0.0          goftest_1.2-2            digest_0.6.27           
[28] foreign_0.8-80           rmarkdown_2.5            rio_0.5.16              
[31] pkgconfig_2.0.3          htmltools_0.5.0          highr_0.8               
[34] dbplyr_1.4.4             rlang_0.4.10             readxl_1.3.1            
[37] rstudioapi_0.11          farver_2.0.3             generics_0.0.2          
[40] jsonlite_1.7.1           zip_2.1.1                car_3.0-10              
[43] magrittr_1.5             Matrix_1.2-18            Rcpp_1.0.5              
[46] munsell_0.5.0            fansi_0.4.1              abind_1.4-5             
[49] lifecycle_1.0.0          stringi_1.5.3            whisker_0.4             
[52] yaml_2.2.1               carData_3.0-4            MASS_7.3-53             
[55] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[58] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[61] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[64] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[67] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[70] modelr_0.1.8             vctrs_0.3.5              tweenr_1.0.2            
[73] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[76] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[79] openxlsx_4.2.3           xfun_0.18                RcppEigen_0.3.3.7.0     
[82] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[85] here_0.1