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1 Required data

Required are:

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

2 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)

3 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

4 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)]) %>%
  group_by(gamma_slab, era, basin, data_source) %>% 
  nest()

# expand with model definitions

GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all
)

# 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)
  )


# test parallel processing
# 
# library(parallel)
# library(multidplyr)
# 
# n_cores <- detectCores()
# system.time(
# cluster <- new_cluster(5)
# )
# 
# cluster
# 
# system.time(
#   GLODAP_nested_lm <-
#     expand_grid(GLODAP,
#                 lm_all) %>%
#     group_by(gamma_slab, era, basin, data_source, model, predictors, n) %>%
#     partition(cluster)
# )
# 
# GLODAP_nested_lm 
# 
# cluster %>%
#   cluster_library(c("tidyverse",
#                     "broom",
#                     "olsrr",
#                     "purrr"))
# 
# cluster_call(cluster, search())
# 
# system.time(
# 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)
#   )
# )
# 
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm_fit %>% 
#   collect()
# )
# 
# 
# 
# library(furrr)
# 
# plan(sequential)
# plan(multisession, workers = 5)
# 
# # This does run in parallel!
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm %>% 
#   mutate(
#     fit = future_map2(.x = data, .y = model, 
#                ~ lm(as.formula(.y), data = .x))
#     # tidied = future_map(fit, tidy),
#     # glanced = future_map(fit, glance),
#     # augmented = future_map(fit, augment),
#     # vif = future_map(fit, ols_vif_tol)
#   )
# )



# print(object.size(GLODAP_nested), units = "MB")
# print(object.size(GLODAP_nested_lm), units = "MB")
# print(object.size(GLODAP_nested_lm_fit), units = "MB")

5 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)

6 Prepare coeffcients

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

6.1 VIF threshold

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

  • 100

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>

6.2 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_eras <- 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(eras = paste(lag(era), era, sep = " --> "),
         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$MLR_criterion == "aic") {
  lm_best_eras <- lm_all_eras %>%
    group_by(data_source, basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
} 

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

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


# print table
lm_best_eras %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
data_source basin gamma_slab model AIC BIC rmse eras rmse_sum aic_sum bic_sum
obs Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 752.81040 771.83989 6.5490641 2000-2009 –> 2010-2019 14.764531 1126.3560 1158.9083
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 82.44135 95.96413 0.4733383 2000-2009 –> 2010-2019 4.857575 756.9469 789.6231
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 136.58932 148.18027 0.8208010 2000-2009 –> 2010-2019 4.984959 797.3525 825.3607
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 79.93748 93.46026 0.4618604 2000-2009 –> 2010-2019 4.334575 726.1574 758.8335
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 87.37399 98.96494 0.5066282 2000-2009 –> 2010-2019 4.903610 760.5414 788.5495
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 759.32253 775.63352 6.8027215 2000-2009 –> 2010-2019 14.507992 1124.3285 1152.2305
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 758.05638 777.08587 6.7042506 2000-2009 –> 2010-2019 14.361261 1124.4215 1156.9738
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 758.08494 777.11443 6.7051053 2000-2009 –> 2010-2019 14.358472 1124.4015 1156.9538
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 81.32743 94.85021 0.4681972 2000-2009 –> 2010-2019 4.760677 751.0106 783.6867
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 750.41454 769.44403 6.4793901 2000-2009 –> 2010-2019 14.135191 1116.7636 1149.3158
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 111.71440 125.23718 0.6306816 2000-2009 –> 2010-2019 4.507887 758.1985 790.8747
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 751.53707 770.56656 6.5119416 2000-2009 –> 2010-2019 15.043120 1128.9290 1161.4813
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 134.12183 147.64461 0.7856267 2000-2009 –> 2010-2019 4.821767 789.7657 822.4418
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 758.23390 777.26339 6.7095657 2000-2009 –> 2010-2019 14.391773 1124.9341 1157.4864
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 84.51038 98.03316 0.4830378 2000-2009 –> 2010-2019 4.791162 755.0230 787.6991
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 111.62890 125.15168 0.6301531 2000-2009 –> 2010-2019 4.817546 775.6607 808.3369
mod Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 173.84187 187.36465 1.1596737 2000-2009 –> 2010-2019 5.029736 819.9055 852.5817
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 751.48267 770.51216 6.5103605 2000-2009 –> 2010-2019 14.699080 1124.6957 1157.2479
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 750.89289 769.92238 6.4932416 2000-2009 –> 2010-2019 14.675563 1124.0262 1156.5784
obs Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 748.91840 767.94789 6.4362572 2000-2009 –> 2010-2019 14.591774 1121.7170 1154.2693
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3542.30555 3568.28388 5.6265775 2000-2009 –> 2010-2019 11.803187 6470.0428 6520.6766
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2064.97869 2092.52294 3.6473331 2000-2009 –> 2010-2019 7.934961 3407.0773 3458.7184
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3533.33495 3563.64300 5.5718305 2000-2009 –> 2010-2019 11.195997 6378.7451 6437.8178
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2065.21848 2092.76274 3.6484902 2000-2009 –> 2010-2019 8.005897 3414.7753 3466.4165
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3534.81430 3565.12234 5.5791817 2000-2009 –> 2010-2019 11.290924 6394.1306 6453.2034
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2079.99693 2107.54119 3.7205133 2000-2009 –> 2010-2019 8.672038 3488.6059 3540.2471
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3544.02034 3574.32839 5.6251474 2000-2009 –> 2010-2019 11.709968 6460.2825 6519.3553
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2029.41957 2056.96383 3.4797497 2000-2009 –> 2010-2019 8.218174 3417.7047 3469.3459
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2030.07551 2057.61977 3.4827702 2000-2009 –> 2010-2019 8.338476 3429.6565 3481.2976
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2066.12427 2093.66853 3.6528642 2000-2009 –> 2010-2019 8.082841 3423.3120 3474.9532
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2020.11027 2047.65453 3.4371632 2000-2009 –> 2010-2019 8.598076 3447.8543 3499.4955
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2030.45050 2057.99476 3.4844982 2000-2009 –> 2010-2019 8.377159 3433.5343 3485.1755
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 3605.76249 3631.74081 5.9539707 2000-2009 –> 2010-2019 11.601877 6452.9636 6503.5974
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 3606.82029 3632.79861 5.9595866 2000-2009 –> 2010-2019 11.686630 6466.5444 6517.1782
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3606.51994 3636.82799 5.9473807 2000-2009 –> 2010-2019 11.511604 6442.2862 6501.3590
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3607.55226 3637.86030 5.9528552 2000-2009 –> 2010-2019 11.574870 6452.6180 6511.6908
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 2108.24061 2131.84998 3.8723692 2000-2009 –> 2010-2019 8.640725 3497.4349 3541.6988
mod Atlantic (26,26.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 2138.71235 2162.32171 4.0316392 2000-2009 –> 2010-2019 8.718289 3519.9217 3564.1856
obs Atlantic (26,26.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 3608.71410 3634.69242 5.9696542 2000-2009 –> 2010-2019 11.838675 6490.4778 6541.1116
obs Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3609.54626 3639.85430 5.9634439 2000-2009 –> 2010-2019 11.682353 6469.9912 6529.0640
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2690.47339 2719.66067 3.9777639 2000-2009 –> 2010-2019 7.145938 4592.3904 4648.9152
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2693.58533 2722.77261 3.9907333 2000-2009 –> 2010-2019 7.049442 4569.6929 4626.2177
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate_star 5189.41961 5217.69005 5.6425916 2000-2009 –> 2010-2019 11.133394 8797.9785 8852.3856
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2761.10287 2790.29014 4.2827701 2000-2009 –> 2010-2019 7.135396 4586.0118 4642.5366
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2767.31203 2796.49930 4.3106770 2000-2009 –> 2010-2019 7.109310 4578.1951 4634.7199
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5179.04600 5212.02818 5.6002819 2000-2009 –> 2010-2019 11.084244 8788.1688 8851.6438
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2701.31558 2730.50286 4.0231333 2000-2009 –> 2010-2019 6.948433 4544.6899 4601.2147
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 5186.97082 5215.24126 5.6341930 2000-2009 –> 2010-2019 11.097800 8789.8098 8844.2169
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2792.63200 2821.81927 4.4263720 2000-2009 –> 2010-2019 7.351880 4636.0586 4692.5834
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5188.77934 5221.76152 5.6335369 2000-2009 –> 2010-2019 11.092677 8792.6760 8856.1510
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 5189.41005 5217.68049 5.6425588 2000-2009 –> 2010-2019 11.139107 8799.1738 8853.5809
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2768.34174 2797.52901 4.3153226 2000-2009 –> 2010-2019 7.110017 4578.1913 4634.7161
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5178.38828 5211.37046 5.5980419 2000-2009 –> 2010-2019 11.084709 8788.0792 8851.5542
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 2724.82787 2749.84554 4.1319420 2000-2009 –> 2010-2019 7.349003 4635.9843 4684.4342
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 5146.83149 5175.10193 5.4982963 2000-2009 –> 2010-2019 10.962143 8749.7211 8804.1282
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2722.65188 2751.83915 4.1139323 2000-2009 –> 2010-2019 7.081972 4576.6727 4633.1975
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 5192.34361 5220.61406 5.6526364 2000-2009 –> 2010-2019 11.138600 8799.8869 8854.2939
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 2729.83630 2754.85396 4.1536458 2000-2009 –> 2010-2019 7.218559 4605.4314 4653.8812
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 5199.85019 5228.12063 5.6785056 2000-2009 –> 2010-2019 11.138601 8801.9484 8856.3555
obs Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5191.69163 5219.96207 5.6503951 2000-2009 –> 2010-2019 11.139111 8799.8127 8854.2198
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 4557.65080 4586.56435 2.9009076 2000-2009 –> 2010-2019 5.436797 7511.2037 7566.7533
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate_star 4651.36321 4680.27675 3.0533294 2000-2009 –> 2010-2019 6.018610 7800.7626 7856.3123
mod Atlantic (26.75,27] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4691.30913 4720.22267 3.1207114 2000-2009 –> 2010-2019 6.244877 7906.0577 7961.6073
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate_star 6074.78813 6104.35935 4.7119678 2000-2009 –> 2010-2019 11.257140 10406.7310 10463.2100
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4536.79121 4570.52368 2.8648961 2000-2009 –> 2010-2019 5.140285 7356.6354 7421.4433
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4556.35743 4590.08990 2.8956917 2000-2009 –> 2010-2019 5.245148 7416.3071 7481.1150
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6032.97645 6067.47621 4.6119480 2000-2009 –> 2010-2019 11.043913 10344.0628 10409.9550
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 6074.52020 6104.09143 4.7113495 2000-2009 –> 2010-2019 11.256668 10406.4923 10462.9714
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4778.64618 4812.37865 3.2696837 2000-2009 –> 2010-2019 5.870676 7765.9352 7830.7431
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6037.25337 6071.75313 4.6216177 2000-2009 –> 2010-2019 11.039810 10345.5318 10411.4240
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + phosphate + phosphate_star 6074.83357 6104.40480 4.7120726 2000-2009 –> 2010-2019 11.257375 10406.8025 10463.2815
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4563.54590 4597.27837 2.9070887 2000-2009 –> 2010-2019 5.289931 7441.1610 7505.9689
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6032.66633 6067.16610 4.6112476 2000-2009 –> 2010-2019 11.039674 10343.0319 10408.9241
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 6044.15542 6073.72665 4.6418095 2000-2009 –> 2010-2019 11.137858 10366.2292 10422.7082
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 4677.98472 4706.89826 3.0980717 2000-2009 –> 2010-2019 5.488690 7557.6790 7613.2286
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 4697.64956 4726.56311 3.1315425 2000-2009 –> 2010-2019 5.585263 7609.9628 7665.5125
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 6032.83472 6062.40595 4.6161469 2000-2009 –> 2010-2019 11.238885 10380.2109 10436.6899
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 6035.95090 6065.52213 4.6231967 2000-2009 –> 2010-2019 11.213970 10376.9890 10433.4680
mod Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4705.03561 4733.94915 3.1442073 2000-2009 –> 2010-2019 5.629189 7633.1989 7688.7486
obs Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6032.61345 6062.18468 4.6156467 2000-2009 –> 2010-2019 11.234737 10379.2678 10435.7468
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 5670.41869 5701.25665 2.2811622 2000-2009 –> 2010-2019 4.744613 9761.8609 9821.3716
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 5865.81736 5896.65532 2.4649283 2000-2009 –> 2010-2019 5.197406 10139.4682 10198.9789
mod Atlantic (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate_star 6001.50404 6032.34200 2.6011768 2000-2009 –> 2010-2019 5.538160 10402.0372 10461.5479
mod Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5935.91154 5966.74950 2.5343972 2000-2009 –> 2010-2019 5.363741 10270.8045 10330.3152
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + phosphate_star 11085.68847 11118.36097 6.1423012 2000-2009 –> 2010-2019 12.053172 19425.7653 19489.4724
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 5669.68134 5705.65897 2.2786876 2000-2009 –> 2010-2019 4.658261 9702.2227 9771.6519
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5747.00124 5782.97886 2.3496299 2000-2009 –> 2010-2019 4.774287 9812.5385 9881.9677
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10942.28671 10980.40463 5.8869262 2000-2009 –> 2010-2019 11.675709 19229.9733 19304.2982
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5896.23451 5932.21213 2.4928594 2000-2009 –> 2010-2019 5.142403 10117.7015 10187.1306
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10953.86382 10991.98174 5.9068645 2000-2009 –> 2010-2019 11.774852 19276.9653 19351.2901
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + phosphate + phosphate_star 11085.33568 11118.00819 6.1416683 2000-2009 –> 2010-2019 12.066665 19431.6329 19495.3400
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5766.10178 5802.07940 2.3674926 2000-2009 –> 2010-2019 4.806491 9842.0069 9911.4360
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10942.45996 10980.57788 5.8872240 2000-2009 –> 2010-2019 11.685421 19234.3812 19308.7061
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 10957.05590 10989.72841 5.9158284 2000-2009 –> 2010-2019 11.972814 19360.7688 19424.4759
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 6470.43129 6501.26925 3.1327105 2000-2009 –> 2010-2019 6.042412 10854.5579 10914.0686
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 10951.18214 10983.85464 5.9056886 2000-2009 –> 2010-2019 11.972514 19359.1250 19422.8321
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 6488.26687 6519.10483 3.1549436 2000-2009 –> 2010-2019 6.123696 10907.7143 10967.2250
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 10942.40090 10975.07340 5.8905622 2000-2009 –> 2010-2019 11.860092 19308.2121 19371.9191
obs Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 10957.77492 10990.44742 5.9170708 2000-2009 –> 2010-2019 11.994651 19370.3336 19434.0407
obs Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10942.52895 10975.20145 5.8907825 2000-2009 –> 2010-2019 11.871918 19313.4016 19377.1086
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 10943.89674 10977.60330 3.5549881 2000-2009 –> 2010-2019 6.885488 20620.8133 20687.6347
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 10892.56307 10926.26963 3.5104099 2000-2009 –> 2010-2019 7.305274 21050.5995 21117.4210
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 10917.79316 10957.11748 3.5305133 2000-2009 –> 2010-2019 6.780914 20506.9770 20584.9353
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 13218.85102 13252.62796 5.9877938 2000-2009 –> 2010-2019 10.521159 22221.3276 22287.1183
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate_star 13231.52478 13265.30172 6.0062595 2000-2009 –> 2010-2019 10.528432 22226.4175 22292.2082
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 10889.69603 10929.02034 3.5062125 2000-2009 –> 2010-2019 7.284579 21033.6727 21111.6311
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 13208.14657 13247.55300 5.9693404 2000-2009 –> 2010-2019 10.501337 22211.6966 22288.4524
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10814.51811 10853.84242 3.4420117 2000-2009 –> 2010-2019 7.106895 20846.0889 20924.0473
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13222.16412 13261.57055 5.9897044 2000-2009 –> 2010-2019 10.511724 22218.9531 22295.7090
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 11029.86720 11063.57376 3.6309164 2000-2009 –> 2010-2019 7.192958 20954.5258 21021.3473
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10793.29727 10832.62159 3.4241031 2000-2009 –> 2010-2019 6.962146 20695.0375 20772.9958
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 13224.53570 13258.31264 5.9960694 2000-2009 –> 2010-2019 10.518930 22219.8946 22285.6853
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10815.55554 10854.87986 3.4428896 2000-2009 –> 2010-2019 7.110266 20849.6336 20927.5920
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13215.04366 13254.45008 5.9793515 2000-2009 –> 2010-2019 10.502193 22212.3900 22289.1459
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 10895.21415 10928.92070 3.5126984 2000-2009 –> 2010-2019 7.307209 21052.9072 21119.7287
mod Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 11223.64509 11257.35165 3.8080595 2000-2009 –> 2010-2019 7.286725 21060.9998 21127.8213
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + phosphate 13224.72472 13252.87216 5.9992591 2000-2009 –> 2010-2019 10.700268 22336.6083 22391.4339
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 13224.62279 13258.39973 5.9961963 2000-2009 –> 2010-2019 10.683454 22329.5190 22395.3098
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate_star 13241.86832 13275.64525 6.0213723 2000-2009 –> 2010-2019 10.698796 22340.3210 22406.1117
obs Atlantic (27.25,27.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 13233.35853 13267.13547 6.0089360 2000-2009 –> 2010-2019 10.686747 22332.0651 22397.8558
obs Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate 14610.76633 14639.65320 5.1589645 2000-2009 –> 2010-2019 10.745994 26123.4778 26179.9304
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 18972.26853 19003.86590 2.4396203 2000-2009 –> 2010-2019 4.973560 34986.4050 35048.6703
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 18299.35839 18337.27523 2.2470011 2000-2009 –> 2010-2019 4.761774 34263.7561 34338.4745
obs Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 14550.58481 14585.24905 5.0921768 2000-2009 –> 2010-2019 10.536461 25970.4667 26038.2099
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 18971.18823 19009.10507 2.4387047 2000-2009 –> 2010-2019 4.945705 34914.4928 34989.2111
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 14814.41175 14849.07600 5.3816329 2000-2009 –> 2010-2019 10.723595 26164.7755 26232.5188
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 18858.94299 18896.85983 2.4055742 2000-2009 –> 2010-2019 4.867933 34679.8200 34754.5384
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 18290.59970 18334.83602 2.2440571 2000-2009 –> 2010-2019 4.738568 34201.8748 34289.0462
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 14542.77887 14583.22049 5.0817236 2000-2009 –> 2010-2019 10.280056 25795.2795 25874.3132
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18083.32663 18127.56295 2.1880849 2000-2009 –> 2010-2019 4.639353 33875.4423 33962.6137
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14569.15595 14609.59756 5.1098905 2000-2009 –> 2010-2019 10.317062 25827.8813 25906.9151
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 19061.07106 19098.98790 2.4655634 2000-2009 –> 2010-2019 4.939850 34914.8756 34989.5940
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18181.84211 18226.07842 2.2145118 2000-2009 –> 2010-2019 4.669754 33984.9975 34072.1689
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 18856.45274 18894.36958 2.4048443 2000-2009 –> 2010-2019 4.869478 34683.6238 34758.3422
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 14831.04913 14865.71337 5.4004285 2000-2009 –> 2010-2019 10.768787 26199.4731 26267.2163
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18089.35385 18133.59016 2.1896926 2000-2009 –> 2010-2019 4.643085 33887.3746 33974.5461
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14549.26822 14589.70984 5.0886389 2000-2009 –> 2010-2019 10.287221 25801.9448 25880.9785
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 14541.92975 14576.59400 5.0829494 2000-2009 –> 2010-2019 10.364514 25850.6315 25918.3747
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 14568.68140 14603.34564 5.1115242 2000-2009 –> 2010-2019 10.409532 25888.7725 25956.5158
obs Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14548.53965 14583.20390 5.0899948 2000-2009 –> 2010-2019 10.375481 25859.9604 25927.7036
obs Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate 9121.87617 9148.25549 5.6630340 2000-2009 –> 2010-2019 10.922805 16570.8029 16622.6659
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 5054.89144 5086.78674 1.2937625 2000-2009 –> 2010-2019 2.539160 9356.2059 9419.1633
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 4812.38721 4844.28251 1.1935534 2000-2009 –> 2010-2019 2.396039 9021.9029 9084.8604
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 9095.20467 9126.85986 5.6071292 2000-2009 –> 2010-2019 10.745553 16489.7395 16551.9750
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 9091.96080 9123.61599 5.6008390 2000-2009 –> 2010-2019 10.856499 16540.9985 16603.2340
mod Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 5446.89757 5478.79287 1.4738467 2000-2009 –> 2010-2019 2.856069 10021.1056 10084.0630
mod Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5436.67463 5468.56993 1.4688463 2000-2009 –> 2010-2019 2.858058 10024.0870 10087.0444
obs Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 9087.45224 9119.10743 5.5921082 2000-2009 –> 2010-2019 10.750281 16491.2548 16553.4903
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 5010.42043 5047.63161 1.2739286 2000-2009 –> 2010-2019 2.516164 9307.0783 9380.5286
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 4685.02571 4722.23690 1.1433117 2000-2009 –> 2010-2019 2.340681 8885.3784 8958.8288
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 9089.83023 9126.76128 5.5928397 2000-2009 –> 2010-2019 10.730026 16485.7832 16558.3913
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4817.32302 4854.53420 1.1947188 2000-2009 –> 2010-2019 2.432787 9105.1850 9178.6353
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9080.34097 9117.27202 5.5745058 2000-2009 –> 2010-2019 10.724770 16482.4364 16555.0445
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4824.44441 4861.65559 1.1975507 2000-2009 –> 2010-2019 2.433277 9107.3483 9180.7987
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4810.54116 4847.75234 1.1920282 2000-2009 –> 2010-2019 2.425936 9089.5891 9163.0394
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9087.60686 9124.53791 5.5885386 2000-2009 –> 2010-2019 10.729664 16485.4117 16558.0198
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 4920.94340 4952.83870 1.2374144 2000-2009 –> 2010-2019 2.558817 9377.3456 9440.3031
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 9106.80188 9138.45706 5.6296751 2000-2009 –> 2010-2019 10.773477 16503.8639 16566.0994
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 9097.63181 9129.28699 5.6118403 2000-2009 –> 2010-2019 10.765997 16499.5528 16561.7883
obs Atlantic (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 9104.58792 9136.24311 5.6253640 2000-2009 –> 2010-2019 10.772106 16503.0307 16565.2662
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 5971.52433 6003.30281 1.8243782 2000-2009 –> 2010-2019 4.732364 12517.7812 12580.6447
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 18650.91841 18693.25769 4.7548086 2000-2009 –> 2010-2019 10.156557 35541.0815 35624.7717
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 5743.65682 5775.43530 1.6887625 2000-2009 –> 2010-2019 4.413245 12118.6155 12181.4790
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 19237.92471 19274.21553 5.2240710 2000-2009 –> 2010-2019 10.862537 36359.1488 36430.8833
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 18659.77671 18696.06752 4.7630659 2000-2009 –> 2010-2019 10.165265 35548.3930 35620.1275
obs Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate 19362.43519 19398.72601 5.3290511 2000-2009 –> 2010-2019 11.068210 36579.8443 36651.5788
mod Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 6223.31955 6255.09802 1.9869355 2000-2009 –> 2010-2019 4.817687 12698.8352 12761.6986
mod Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6207.19079 6238.96927 1.9761019 2000-2009 –> 2010-2019 4.759991 12638.8362 12701.6997
obs Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 19062.70657 19098.99738 5.0798306 2000-2009 –> 2010-2019 10.639425 36107.3820 36179.1165
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 5813.07902 5850.15391 1.7278035 2000-2009 –> 2010-2019 4.623019 12349.7696 12423.1103
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 5435.28533 5472.36022 1.5201140 2000-2009 –> 2010-2019 4.244380 11812.0346 11885.3754
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 18542.04958 18584.38886 4.6728058 2000-2009 –> 2010-2019 10.042260 35399.6277 35483.3180
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5545.72357 5582.79846 1.5781006 2000-2009 –> 2010-2019 4.327110 11946.2340 12019.5747
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18506.81689 18549.15617 4.6465717 2000-2009 –> 2010-2019 10.004724 35352.9453 35436.6355
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 18540.45488 18582.79416 4.6716152 2000-2009 –> 2010-2019 10.089623 35446.9498 35530.6401
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5553.86696 5590.94185 1.5824630 2000-2009 –> 2010-2019 4.375365 11996.0069 12069.3476
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 18560.92728 18597.21809 4.6884211 2000-2009 –> 2010-2019 10.108136 35467.1338 35538.8683
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5534.03830 5571.11319 1.5718620 2000-2009 –> 2010-2019 4.312378 11926.4171 11999.7578
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18538.30705 18580.64633 4.6700121 2000-2009 –> 2010-2019 10.037131 35393.5220 35477.2122
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 5659.79066 5691.56914 1.6414283 2000-2009 –> 2010-2019 4.662716 12306.4967 12369.3601
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 20572.44716 20615.21173 5.3257699 2000-2009 –> 2010-2019 12.027990 39259.2307 39343.5843
mod Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate 9602.50852 9629.86818 3.7036033 2000-2009 –> 2010-2019 7.743635 17663.9551 17717.6419
mod Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 9551.19731 9584.02890 3.6478711 2000-2009 –> 2010-2019 7.643201 17582.8220 17647.2461
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 21042.12619 21078.78154 5.7172416 2000-2009 –> 2010-2019 12.565831 39848.3663 39920.6694
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 20635.75890 20672.41425 5.3783336 2000-2009 –> 2010-2019 12.094359 39332.1111 39404.4142
obs Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate_star 20878.25946 20914.91481 5.5780812 2000-2009 –> 2010-2019 12.507027 39750.0805 39822.3836
obs Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 20798.34605 20835.00140 5.5114502 2000-2009 –> 2010-2019 12.258039 39520.2248 39592.5279
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21125.58520 21168.34977 5.7877055 2000-2009 –> 2010-2019 12.625748 39925.1611 40009.5148
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 9456.17578 9489.00737 3.5506060 2000-2009 –> 2010-2019 7.375632 17363.2168 17427.6410
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 9486.47589 9519.30748 3.5813365 2000-2009 –> 2010-2019 7.404166 17391.8741 17456.2982
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 9299.02647 9337.33000 3.3934733 2000-2009 –> 2010-2019 7.218437 17208.0208 17283.1823
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 20681.54997 20724.31454 5.4138675 2000-2009 –> 2010-2019 12.156360 39402.0140 39486.3676
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9310.33109 9348.63461 3.4044016 2000-2009 –> 2010-2019 7.227096 17217.6279 17292.7894
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20616.89227 20659.65685 5.3614838 2000-2009 –> 2010-2019 12.075456 39313.5248 39397.8784
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20862.88909 20905.65366 5.5635298 2000-2009 –> 2010-2019 12.483261 39729.2282 39813.5819
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate_star 9567.07911 9594.43877 3.6664709 2000-2009 –> 2010-2019 7.496053 17475.5247 17529.2115
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate 20830.15614 20866.81149 5.5378773 2000-2009 –> 2010-2019 12.476708 39709.9918 39782.2949
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 9310.07745 9342.90904 3.4060929 2000-2009 –> 2010-2019 7.231439 17217.3576 17281.7818
mod Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 9599.71137 9632.54297 3.6985536 2000-2009 –> 2010-2019 7.753350 17673.5909 17738.0151
mod Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 9562.90230 9595.73389 3.6600354 2000-2009 –> 2010-2019 7.616309 17566.4317 17630.8559
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 17421.49322 17462.99963 5.5520076 2000-2009 –> 2010-2019 12.997122 30901.6244 30982.2136
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 17478.93977 17514.51669 5.6117304 2000-2009 –> 2010-2019 13.061472 30959.5132 31028.5896
obs Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 17440.29469 17475.87161 5.5728331 2000-2009 –> 2010-2019 13.072829 30947.2899 31016.3663
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 3697.24206 3726.81916 1.4681711 2000-2009 –> 2010-2019 2.609240 6097.6340 6155.0894
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17473.87782 17515.38423 5.6046021 2000-2009 –> 2010-2019 13.023030 30939.8973 31020.4864
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 3556.70580 3591.21242 1.3692778 2000-2009 –> 2010-2019 2.474232 5909.5684 5976.5998
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 3462.95988 3492.53698 1.3091761 2000-2009 –> 2010-2019 2.317829 5673.3931 5730.8486
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 17501.70037 17537.27729 5.6347665 2000-2009 –> 2010-2019 13.053737 30966.0072 31035.0836
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3458.34966 3492.85628 1.3049491 2000-2009 –> 2010-2019 2.299199 5648.6343 5715.6657
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17453.05225 17494.55866 5.5836337 2000-2009 –> 2010-2019 12.993133 30914.3390 30994.9281
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 17478.73464 17514.31156 5.6115232 2000-2009 –> 2010-2019 13.038654 30947.3618 31016.4382
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17413.15134 17454.65774 5.5436780 2000-2009 –> 2010-2019 12.970054 30883.3791 30963.9683
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 17513.02392 17548.60084 5.6462622 2000-2009 –> 2010-2019 13.076636 30983.3666 31052.4430
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 3596.98967 3626.56677 1.3978989 2000-2009 –> 2010-2019 2.593441 6069.1987 6126.6542
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 17528.34337 17563.92029 5.6618521 2000-2009 –> 2010-2019 13.105833 31005.8764 31074.9528
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 3467.35731 3492.00490 1.3132801 2000-2009 –> 2010-2019 2.389391 5775.4867 5823.3663
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate_star 3510.20212 3534.84970 1.3410986 2000-2009 –> 2010-2019 2.443277 5855.1911 5903.0707
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 3469.34553 3498.92263 1.3132725 2000-2009 –> 2010-2019 2.367179 5747.3661 5804.8215
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 3511.87425 3541.45135 1.3408835 2000-2009 –> 2010-2019 2.425666 5834.3635 5891.8189
mod Atlantic (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 3639.09903 3663.74661 1.4283933 2000-2009 –> 2010-2019 2.647323 6139.1426 6187.0222
mod Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate 5025.88803 5052.42069 1.3024477 2000-2009 –> 2010-2019 2.666431 9473.3938 9525.7113
mod Atlantic (28.1,28.15] cstar_tref ~ sal + nitrate + phosphate_star 5179.71444 5206.24710 1.3714451 2000-2009 –> 2010-2019 2.768997 9689.6074 9741.9248
mod Atlantic (28.1,28.15] cstar_tref ~ sal + nitrate + silicate + phosphate_star 5128.36905 5160.20824 1.3471131 2000-2009 –> 2010-2019 2.691181 9540.1326 9602.9135
mod Atlantic (28.1,28.15] cstar_tref ~ sal + silicate + phosphate 5022.40993 5048.94258 1.3009285 2000-2009 –> 2010-2019 2.703448 9541.4070 9593.7244
mod Atlantic (28.1,28.15] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4984.19287 5016.03206 1.2834895 2000-2009 –> 2010-2019 2.573812 9291.2435 9354.0244
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 4462.36861 4494.20780 1.0773171 2000-2009 –> 2010-2019 2.439271 8908.0542 8970.8351
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 13881.02839 13915.05097 6.1437978 2000-2009 –> 2010-2019 15.007908 23169.0732 23234.0608
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4434.00287 4471.14859 1.0663951 2000-2009 –> 2010-2019 2.326970 8683.2026 8756.4470
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 13900.14407 13934.16664 6.1712477 2000-2009 –> 2010-2019 15.045115 23191.0228 23256.0104
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13864.53607 13904.22907 6.1173593 2000-2009 –> 2010-2019 14.961322 23148.7192 23224.5381
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 13875.32628 13909.34885 6.1356333 2000-2009 –> 2010-2019 14.993016 23161.4152 23226.4028
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate 4986.94466 5018.78385 1.2846753 2000-2009 –> 2010-2019 2.676915 9489.0658 9551.8467
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 13875.08734 13909.10991 6.1352914 2000-2009 –> 2010-2019 14.983503 23158.5079 23223.4955
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate_star 4605.34661 4631.87926 1.1310248 2000-2009 –> 2010-2019 2.544480 9144.2752 9196.5926
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate_star 13888.73686 13917.08900 6.1577238 2000-2009 –> 2010-2019 15.037372 23179.2934 23233.4497
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 4598.47929 4630.31847 1.1276643 2000-2009 –> 2010-2019 2.495602 9055.4154 9118.1963
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 13882.68903 13916.71160 6.1461776 2000-2009 –> 2010-2019 15.005077 23169.2193 23234.2069
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 13870.25013 13904.27270 6.1283742 2000-2009 –> 2010-2019 14.986333 23156.5067 23221.4943
obs Atlantic (28.1,28.15] cstar_tref ~ temp + phosphate + phosphate_star 13883.17314 13911.52528 6.1497392 2000-2009 –> 2010-2019 15.020859 23171.2544 23225.4108
obs Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate_star 13880.71893 13909.07107 6.1462205 2000-2009 –> 2010-2019 15.006034 23165.5149 23219.6713
mod Atlantic (28.15,28.2] cstar_tref ~ aou + nitrate + silicate 8687.63236 8717.46356 1.0904052 2000-2009 –> 2010-2019 2.293078 15663.1722 15721.4204
mod Atlantic (28.15,28.2] cstar_tref ~ sal + nitrate + phosphate_star 8471.16785 8500.99905 1.0502149 2000-2009 –> 2010-2019 2.214224 15304.7612 15363.0094
mod Atlantic (28.15,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate_star 8445.40506 8481.20249 1.0451686 2000-2009 –> 2010-2019 2.196876 15234.8435 15304.7414
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 7882.50844 7918.30588 0.9479258 2000-2009 –> 2010-2019 2.041596 14447.3344 14517.2322
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 7956.00220 7991.79964 0.9600897 2000-2009 –> 2010-2019 2.066032 14569.3034 14639.2013
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 3955.91488 3983.69899 3.2628089 2000-2009 –> 2010-2019 7.359543 7436.4267 7490.7210
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 3968.10030 3995.88440 3.2891406 2000-2009 –> 2010-2019 7.405655 7454.5173 7508.8116
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate_star 4045.89287 4069.04628 3.4668969 2000-2009 –> 2010-2019 7.624572 7542.5077 7587.7530
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate 8514.16761 8549.96505 1.0577118 2000-2009 –> 2010-2019 2.286733 15585.8466 15655.7444
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 4028.58734 4056.37144 3.4230276 2000-2009 –> 2010-2019 7.554603 7519.4817 7573.7759
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate 8765.29558 8795.12678 1.1051966 2000-2009 –> 2010-2019 2.265753 15585.9849 15644.2332
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate 3973.63818 3996.79160 3.3055356 2000-2009 –> 2010-2019 7.358298 7438.9196 7484.1649
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate_star 8769.26625 8799.09745 1.1059582 2000-2009 –> 2010-2019 2.272374 15611.8329 15670.0811
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate_star 3981.40471 4004.55813 3.3225135 2000-2009 –> 2010-2019 7.419638 7460.0334 7505.2786
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 8076.43524 8112.23268 0.9803608 2000-2009 –> 2010-2019 2.082232 14673.7151 14743.6130
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 7687.39537 7717.22657 0.9166933 2000-2009 –> 2010-2019 1.979902 14127.5128 14185.7610
obs Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 3994.75146 4017.90487 3.3518938 2000-2009 –> 2010-2019 7.468659 7479.2432 7524.4884
obs Atlantic (28.15,28.2] cstar_tref ~ temp + phosphate + phosphate_star 3978.78258 4001.93600 3.3167717 2000-2009 –> 2010-2019 7.408606 7455.8271 7501.0724
obs Atlantic (28.15,28.2] cstar_tref ~ temp + phosphate_star 4060.59995 4079.12269 3.5053152 2000-2009 –> 2010-2019 7.665947 7556.0863 7592.2825
obs Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + phosphate_star 4045.85017 4069.00358 3.4667992 2000-2009 –> 2010-2019 7.598431 7534.7611 7580.0064
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 8863.87155 8896.12681 0.6231225 2000-2009 –> 2010-2019 1.377264 14750.9383 14812.4810
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate 9210.47458 9237.89642 3.2074122 2000-2009 –> 2010-2019 6.710101 16313.2085 16366.5837
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 9408.42219 9441.32840 3.3889018 2000-2009 –> 2010-2019 6.870752 16497.3193 16561.3696
mod Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + phosphate_star 11658.74818 11691.00345 0.8399490 2000-2009 –> 2010-2019 1.861966 19117.2516 19178.7942
mod Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 11655.21296 11693.91928 0.8394524 2000-2009 –> 2010-2019 1.814353 18871.7067 18945.5579
obs Atlantic (28.2, Inf] cstar_tref ~ sal + phosphate + phosphate_star 9330.87723 9358.29908 3.3177452 2000-2009 –> 2010-2019 6.725702 16360.8436 16414.2188
obs Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 9257.47013 9290.37634 3.2482086 2000-2009 –> 2010-2019 6.652592 16286.6526 16350.7028
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 8775.39376 8814.10008 0.6171282 2000-2009 –> 2010-2019 1.366971 14634.9041 14708.7553
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 12433.15875 12471.86507 0.9122040 2000-2009 –> 2010-2019 1.864688 19529.3883 19603.2395
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 9208.62903 9241.53524 3.2039494 2000-2009 –> 2010-2019 6.654700 16273.7146 16337.7649
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate_star 9286.01551 9318.92172 3.2743586 2000-2009 –> 2010-2019 6.649888 16292.6081 16356.6583
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9193.55850 9231.94908 3.1886229 2000-2009 –> 2010-2019 6.553852 16194.0395 16268.7648
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate_star 11239.86270 11278.56903 0.8030161 2000-2009 –> 2010-2019 1.628101 17593.7444 17667.5956
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11198.44108 11243.59845 0.7992995 2000-2009 –> 2010-2019 1.617663 17512.0359 17598.1957
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9323.31553 9361.70611 3.3069878 2000-2009 –> 2010-2019 6.838118 16451.5127 16526.2380
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 9254.14580 9287.05201 3.2451768 2000-2009 –> 2010-2019 6.645336 16280.0327 16344.0830
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12468.81496 12513.97234 0.9154899 2000-2009 –> 2010-2019 1.834241 19380.6227 19466.7824
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9174.34176 9212.73234 3.1714572 2000-2009 –> 2010-2019 6.568114 16199.4939 16274.2192
mod Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 10496.51297 10535.21929 0.7417090 2000-2009 –> 2010-2019 1.672457 17473.3902 17547.2414
mod Atlantic (28.2, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 11973.44853 12012.15485 0.8684841 2000-2009 –> 2010-2019 1.820809 19068.8138 19142.6650
obs Indian (-Inf,26] cstar_tref ~ sal + aou + phosphate_star 169.07342 177.12801 2.0765385 2000-2009 –> 2010-2019 9.231608 2048.5647 2074.7213
mod Indian (-Inf,26] cstar_tref ~ sal + temp 145.86420 152.08559 1.7342065 2000-2009 –> 2010-2019 5.915917 1572.9943 1593.2855
obs Indian (-Inf,26] cstar_tref ~ sal + temp 172.14755 178.59122 2.2239204 2000-2009 –> 2010-2019 8.333616 1962.4537 1983.3790
mod Indian (-Inf,26] cstar_tref ~ sal + temp + aou 135.27089 143.04763 1.4486697 2000-2009 –> 2010-2019 5.529769 1552.2728 1577.6368
obs Indian (-Inf,26] cstar_tref ~ sal + temp + aou 162.77442 170.82901 1.9070942 2000-2009 –> 2010-2019 6.899990 1843.6534 1869.8100
mod Indian (-Inf,26] cstar_tref ~ temp + aou + phosphate_star 138.18255 145.95929 1.5101979 2000-2009 –> 2010-2019 3.687256 1242.2452 1267.6092
mod Indian (-Inf,26] cstar_tref ~ temp + aou + silicate 95.47537 103.25211 0.8204832 2000-2009 –> 2010-2019 5.258458 1554.2254 1579.5894
obs Indian (-Inf,26] cstar_tref ~ temp + aou + silicate 153.11182 161.16641 1.6736468 2000-2009 –> 2010-2019 7.447119 1914.1729 1940.3295
obs Indian (-Inf,26] cstar_tref ~ temp + nitrate 165.09749 171.54116 2.0218248 2000-2009 –> 2010-2019 8.380506 1977.4528 1998.3781
mod Indian (-Inf,26] cstar_tref ~ temp + nitrate + phosphate_star 130.29336 138.07010 1.3492354 2000-2009 –> 2010-2019 3.768526 1286.8950 1312.2590
mod Indian (-Inf,26] cstar_tref ~ temp + nitrate + silicate 89.76314 97.53989 0.7561882 2000-2009 –> 2010-2019 5.231736 1552.7117 1578.0757
obs Indian (-Inf,26] cstar_tref ~ temp + nitrate + silicate 153.11027 161.16486 1.6736118 2000-2009 –> 2010-2019 7.347925 1904.6085 1930.7651
obs Indian (-Inf,26] cstar_tref ~ temp + phosphate 166.45887 172.90254 2.0593646 2000-2009 –> 2010-2019 8.200471 1959.5956 1980.5209
mod Indian (-Inf,26] cstar_tref ~ temp + phosphate + phosphate_star 138.37543 146.15217 1.5143650 2000-2009 –> 2010-2019 3.685578 1241.0993 1266.4633
mod Indian (-Inf,26] cstar_tref ~ temp + phosphate_star 142.03637 148.25777 1.6419209 2000-2009 –> 2010-2019 4.304942 1344.4394 1364.7306
obs Indian (-Inf,26] cstar_tref ~ temp + phosphate_star 162.20203 168.64570 1.9442430 2000-2009 –> 2010-2019 6.742438 1819.1245 1840.0497
mod Indian (-Inf,26] cstar_tref ~ temp + silicate 109.57388 115.79527 1.0326382 2000-2009 –> 2010-2019 5.872856 1609.5312 1629.8224
obs Indian (-Inf,26] cstar_tref ~ temp + silicate 168.24470 174.68837 2.1096675 2000-2009 –> 2010-2019 7.894968 1928.4356 1949.3608
mod Indian (-Inf,26] cstar_tref ~ temp + silicate + phosphate 107.47832 115.25506 0.9739541 2000-2009 –> 2010-2019 5.716784 1599.3134 1624.6774
obs Indian (-Inf,26] cstar_tref ~ temp + silicate + phosphate 150.70680 158.76139 1.6201272 2000-2009 –> 2010-2019 7.221104 1895.0243 1921.1809
mod Indian (26,26.5] cstar_tref ~ sal + nitrate + silicate + phosphate_star 138.36484 148.19036 1.2760339 2000-2009 –> 2010-2019 4.526952 2353.3637 2387.4876
obs Indian (26,26.5] cstar_tref ~ sal + phosphate + phosphate_star 226.69250 235.61345 2.8390691 2000-2009 –> 2010-2019 8.000775 3217.3328 3247.1951
obs Indian (26,26.5] cstar_tref ~ sal + temp + aou 224.90457 233.82552 2.7819687 2000-2009 –> 2010-2019 7.303602 3086.5934 3116.4556
mod Indian (26,26.5] cstar_tref ~ sal + temp + aou + silicate 100.59416 110.41967 0.7762925 2000-2009 –> 2010-2019 4.196057 2358.5309 2392.6548
obs Indian (26,26.5] cstar_tref ~ sal + temp + nitrate 214.85501 223.77596 2.4817384 2000-2009 –> 2010-2019 6.912433 3056.7550 3086.6173
mod Indian (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate 99.22416 109.04968 0.7624242 2000-2009 –> 2010-2019 3.727767 2236.2538 2270.3777
obs Indian (26,26.5] cstar_tref ~ sal + temp + phosphate 212.68015 221.60110 2.4211558 2000-2009 –> 2010-2019 6.604666 2998.6671 3028.5294
mod Indian (26,26.5] cstar_tref ~ sal + temp + silicate 99.35414 107.54207 0.7840941 2000-2009 –> 2010-2019 4.551238 2437.3310 2465.7676
obs Indian (26,26.5] cstar_tref ~ sal + temp + silicate 229.68820 238.60915 2.9373807 2000-2009 –> 2010-2019 7.788718 3159.9280 3189.7903
mod Indian (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate 101.34872 111.17424 0.7840383 2000-2009 –> 2010-2019 4.463112 2421.2651 2455.3890
obs Indian (26,26.5] cstar_tref ~ temp + aou + phosphate_star 204.68656 213.60751 2.2109200 2000-2009 –> 2010-2019 6.042575 2905.1038 2934.9661
obs Indian (26,26.5] cstar_tref ~ temp + aou + silicate 235.47271 244.39366 3.1369512 2000-2009 –> 2010-2019 8.051256 3178.2733 3208.1355
mod Indian (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 37.29980 47.12532 0.3375484 2000-2009 –> 2010-2019 2.155520 1759.4273 1793.5513
obs Indian (26,26.5] cstar_tref ~ temp + nitrate 222.72625 229.86301 2.7763372 2000-2009 –> 2010-2019 7.675781 3160.5769 3184.4667
mod Indian (26,26.5] cstar_tref ~ temp + nitrate + phosphate_star 166.55393 174.74186 1.8983434 2000-2009 –> 2010-2019 5.036859 2349.7138 2378.1504
mod Indian (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 45.05183 54.87735 0.3737957 2000-2009 –> 2010-2019 2.412077 1864.1782 1898.3022
obs Indian (26,26.5] cstar_tref ~ temp + phosphate 217.17215 224.30890 2.6065243 2000-2009 –> 2010-2019 7.421495 3138.0834 3161.9732
obs Indian (26,26.5] cstar_tref ~ temp + phosphate_star 222.56266 229.69942 2.7711809 2000-2009 –> 2010-2019 6.607533 2922.1733 2946.0631
mod Indian (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 37.67763 47.50315 0.3392307 2000-2009 –> 2010-2019 2.155973 1759.2318 1793.3558
mod Indian (26,26.5] cstar_tref ~ temp + silicate + phosphate_star 51.37127 59.55920 0.4170372 2000-2009 –> 2010-2019 2.539128 1902.6679 1931.1045
obs Indian (26.5,26.75] cstar_tref ~ aou + phosphate 335.52981 344.63647 2.3527245 2000-2009 –> 2010-2019 6.259642 5128.0320 5156.1664
obs Indian (26.5,26.75] cstar_tref ~ aou + silicate + phosphate 335.73366 347.11699 2.3235607 2000-2009 –> 2010-2019 6.223439 5127.1338 5162.3018
mod Indian (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate_star 121.79656 131.62208 1.0260875 2000-2009 –> 2010-2019 2.955375 2114.3858 2149.2164
mod Indian (26.5,26.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 126.37555 136.20107 1.0898095 2000-2009 –> 2010-2019 2.993689 2106.3176 2141.1482
mod Indian (26.5,26.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 119.56660 129.39212 0.9964180 2000-2009 –> 2010-2019 2.921471 2110.0599 2144.8905
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate_star 320.42088 334.08087 2.0603443 2000-2009 –> 2010-2019 5.363030 4827.9409 4870.1425
mod Indian (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate 102.21181 112.03733 0.7929929 2000-2009 –> 2010-2019 2.873958 2167.0007 2201.8313
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 321.43929 335.09929 2.0749674 2000-2009 –> 2010-2019 5.365781 4822.7656 4864.9671
mod Indian (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate 101.35164 111.17716 0.7840684 2000-2009 –> 2010-2019 2.769209 2121.1672 2155.9978
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 320.38065 334.04065 2.0597689 2000-2009 –> 2010-2019 5.362627 4827.9907 4870.1923
mod Indian (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate 96.39413 106.21964 0.7345557 2000-2009 –> 2010-2019 2.836929 2170.9473 2205.7779
obs Indian (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 334.15182 347.81181 2.2664775 2000-2009 –> 2010-2019 5.587625 4851.2602 4893.4618
obs Indian (26.5,26.75] cstar_tref ~ temp + aou + phosphate_star 320.84878 332.23211 2.0953772 2000-2009 –> 2010-2019 5.412265 4833.7494 4868.9174
mod Indian (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 63.44258 73.26810 0.4761309 2000-2009 –> 2010-2019 1.828822 1717.3094 1752.1400
obs Indian (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate_star 321.87194 333.25527 2.1103184 2000-2009 –> 2010-2019 5.413000 4827.3901 4862.5581
mod Indian (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 62.78767 72.61318 0.4720456 2000-2009 –> 2010-2019 1.788199 1690.5317 1725.3623
obs Indian (26.5,26.75] cstar_tref ~ temp + phosphate + phosphate_star 320.86585 332.24918 2.0956255 2000-2009 –> 2010-2019 5.412909 4833.9716 4869.1396
mod Indian (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 63.41064 73.23615 0.4759308 2000-2009 –> 2010-2019 1.829057 1717.5840 1752.4146
mod Indian (26.5,26.75] cstar_tref ~ temp + silicate + phosphate_star 62.23586 70.42379 0.4811267 2000-2009 –> 2010-2019 1.845487 1722.2974 1751.3230
obs Indian (26.5,26.75] cstar_tref ~ temp + silicate + phosphate_star 334.72800 346.11133 2.3073900 2000-2009 –> 2010-2019 5.631663 4851.4541 4886.6221
mod Indian (26.75,27] cstar_tref ~ aou + phosphate 266.53360 276.53284 1.0175108 2000-2009 –> 2010-2019 2.655189 3800.6638 3829.9693
mod Indian (26.75,27] cstar_tref ~ sal + phosphate 264.20701 274.20625 1.0044436 2000-2009 –> 2010-2019 2.607580 3759.0274 3788.3329
mod Indian (26.75,27] cstar_tref ~ sal + phosphate + phosphate_star 266.03296 278.53201 1.0034728 2000-2009 –> 2010-2019 2.603260 3758.9965 3795.6283
mod Indian (26.75,27] cstar_tref ~ sal + silicate 214.49785 224.49708 0.7620613 2000-2009 –> 2010-2019 2.404976 3754.5147 3783.8201
mod Indian (26.75,27] cstar_tref ~ sal + silicate + phosphate_star 215.86041 228.35946 0.7593674 2000-2009 –> 2010-2019 2.374364 3726.2732 3762.9050
obs Indian (26.75,27] cstar_tref ~ sal + temp + aou + phosphate_star 1233.27267 1254.70559 2.4666788 2000-2009 –> 2010-2019 5.965985 9259.7820 9313.0942
obs Indian (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1207.68940 1232.69448 2.3406600 2000-2009 –> 2010-2019 5.821252 9220.1121 9282.3098
obs Indian (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 1229.62341 1251.05633 2.4496248 2000-2009 –> 2010-2019 5.944718 9252.5192 9305.8315
obs Indian (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1217.95032 1242.95540 2.3867686 2000-2009 –> 2010-2019 5.868872 9231.6751 9293.8727
mod Indian (26.75,27] cstar_tref ~ sal + temp + phosphate 263.95910 276.45815 0.9919777 2000-2009 –> 2010-2019 2.544033 3701.0677 3737.6995
obs Indian (26.75,27] cstar_tref ~ sal + temp + phosphate + phosphate_star 1233.28750 1254.72043 2.4667484 2000-2009 –> 2010-2019 5.966812 9260.4465 9313.7588
mod Indian (26.75,27] cstar_tref ~ sal + temp + silicate 200.64438 213.14343 0.6978137 2000-2009 –> 2010-2019 2.222211 3604.5959 3641.2277
obs Indian (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1208.01039 1233.01547 2.3420889 2000-2009 –> 2010-2019 5.823987 9221.5585 9283.7561
mod Indian (26.75,27] cstar_tref ~ temp + aou + phosphate_star 245.52915 258.02820 0.8954371 2000-2009 –> 2010-2019 2.473510 3713.2931 3749.9248
obs Indian (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 1207.86646 1229.29939 2.3503679 2000-2009 –> 2010-2019 5.851515 9235.9540 9289.2662
obs Indian (26.75,27] cstar_tref ~ temp + nitrate + phosphate_star 1227.78407 1245.64484 2.4503731 2000-2009 –> 2010-2019 5.972057 9271.4173 9315.8442
obs Indian (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1216.47836 1237.91129 2.3891658 2000-2009 –> 2010-2019 5.900199 9253.0248 9306.3371
mod Indian (26.75,27] cstar_tref ~ temp + phosphate + phosphate_star 245.44796 257.94701 0.8950333 2000-2009 –> 2010-2019 2.477534 3718.3787 3755.0105
obs Indian (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1208.56757 1230.00050 2.3535028 2000-2009 –> 2010-2019 5.855745 9237.5934 9290.9056
mod Indian (26.75,27] cstar_tref ~ temp + silicate + phosphate_star 146.91178 159.41082 0.5177216 2000-2009 –> 2010-2019 2.003243 3503.2265 3539.8583
obs Indian (27,27.25] cstar_tref ~ aou + silicate + phosphate 749.64325 765.29274 2.1583739 2000-2009 –> 2010-2019 6.723886 5894.3396 5933.8545
obs Indian (27,27.25] cstar_tref ~ aou + silicate + phosphate_star 758.16922 773.81871 2.2135108 2000-2009 –> 2010-2019 6.922772 5957.0539 5996.5688
obs Indian (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 759.74702 778.52641 2.2107476 2000-2009 –> 2010-2019 6.809813 5919.2427 5966.6606
mod Indian (27,27.25] cstar_tref ~ sal + nitrate 702.93661 715.54977 1.8031746 2000-2009 –> 2010-2019 4.397290 5350.9283 5383.0835
mod Indian (27,27.25] cstar_tref ~ sal + nitrate + phosphate_star 703.21330 718.97976 1.7942159 2000-2009 –> 2010-2019 4.290873 5278.3044 5318.4984
obs Indian (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 753.33945 772.11885 2.1692326 2000-2009 –> 2010-2019 6.744218 5903.6589 5951.0768
mod Indian (27,27.25] cstar_tref ~ sal + temp + aou + phosphate_star 691.88419 710.80394 1.7264110 2000-2009 –> 2010-2019 4.350342 5366.2293 5414.4621
obs Indian (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 754.17062 776.07991 2.1617442 2000-2009 –> 2010-2019 6.707772 5895.3910 5950.7118
mod Indian (27,27.25] cstar_tref ~ sal + temp + nitrate 675.84184 691.60830 1.6577477 2000-2009 –> 2010-2019 4.204995 5290.1714 5330.3654
mod Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate_star 628.28978 647.20953 1.4365520 2000-2009 –> 2010-2019 3.712473 5024.3184 5072.5512
obs Indian (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 772.79180 794.70109 2.2841812 2000-2009 –> 2010-2019 6.861876 5926.1462 5981.4670
mod Indian (27,27.25] cstar_tref ~ sal + temp + phosphate + phosphate_star 692.16951 711.08926 1.7278352 2000-2009 –> 2010-2019 4.352421 5367.0031 5415.2359
mod Indian (27,27.25] cstar_tref ~ sal + temp + silicate 698.93235 714.69881 1.7721534 2000-2009 –> 2010-2019 4.083763 5123.3948 5163.5888
obs Indian (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 753.55242 775.46171 2.1577940 2000-2009 –> 2010-2019 6.697479 5892.3321 5947.6530
mod Indian (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 682.45952 701.37927 1.6800201 2000-2009 –> 2010-2019 3.990851 5108.2625 5156.4953
obs Indian (27,27.25] cstar_tref ~ silicate + phosphate + phosphate_star 751.58691 767.23640 2.1708213 2000-2009 –> 2010-2019 6.820844 5928.3439 5967.8588
obs Indian (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 752.55147 771.33087 2.1641813 2000-2009 –> 2010-2019 6.748442 5906.4114 5953.8293
mod Indian (27,27.25] cstar_tref ~ temp + nitrate + phosphate_star 626.49325 642.25971 1.4373970 2000-2009 –> 2010-2019 3.722378 5028.2927 5068.4867
obs Indian (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 751.91272 770.69211 2.1600953 2000-2009 –> 2010-2019 6.735014 5902.2068 5949.6247
mod Indian (27,27.25] cstar_tref ~ temp + silicate + phosphate_star 700.75349 716.51995 1.7815056 2000-2009 –> 2010-2019 4.427263 5389.3023 5429.4963
mod Indian (27.25,27.5] cstar_tref ~ aou + nitrate 635.04983 648.88817 0.9187052 2000-2009 –> 2010-2019 2.881729 5206.7157 5240.5298
obs Indian (27.25,27.5] cstar_tref ~ aou + silicate + phosphate 1119.60953 1137.25667 2.1872995 2000-2009 –> 2010-2019 6.485389 7649.1387 7691.9489
obs Indian (27.25,27.5] cstar_tref ~ aou + silicate + phosphate_star 1108.90364 1126.55078 2.1413272 2000-2009 –> 2010-2019 6.651705 7747.6775 7790.4877
obs Indian (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1086.15803 1107.33460 2.0387307 2000-2009 –> 2010-2019 6.431970 7667.3044 7718.6767
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + aou 649.44214 666.74007 0.9432505 2000-2009 –> 2010-2019 2.946640 5267.4807 5309.7483
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate_star 650.33891 671.09643 0.9410391 2000-2009 –> 2010-2019 2.926139 5250.3840 5301.1051
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate 625.72726 643.02518 0.8968375 2000-2009 –> 2010-2019 2.749782 5073.5851 5115.8527
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 620.00725 640.76476 0.8822268 2000-2009 –> 2010-2019 2.721764 5054.0341 5104.7552
obs Indian (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1107.52614 1132.23215 2.1186015 2000-2009 –> 2010-2019 6.440897 7653.7813 7713.7156
mod Indian (27.25,27.5] cstar_tref ~ sal + temp + phosphate 669.79809 687.09601 0.9850008 2000-2009 –> 2010-2019 3.029265 5331.8665 5374.1341
obs Indian (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 1116.64407 1137.82065 2.1658558 2000-2009 –> 2010-2019 6.616733 7727.3261 7778.6985
obs Indian (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 1139.07407 1160.25065 2.2644220 2000-2009 –> 2010-2019 6.586936 7683.4438 7734.8161
obs Indian (27.25,27.5] cstar_tref ~ silicate + phosphate + phosphate_star 1110.75722 1128.40436 2.1492170 2000-2009 –> 2010-2019 6.553727 7695.7095 7738.5198
mod Indian (27.25,27.5] cstar_tref ~ temp + aou + phosphate_star 671.44636 688.74428 0.9884612 2000-2009 –> 2010-2019 2.975304 5271.4046 5313.6722
obs Indian (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate_star 1109.30809 1130.48467 2.1345590 2000-2009 –> 2010-2019 6.428576 7638.6896 7690.0619
mod Indian (27.25,27.5] cstar_tref ~ temp + nitrate 642.88678 656.72513 0.9341525 2000-2009 –> 2010-2019 2.819373 5126.3900 5160.2041
mod Indian (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate_star 642.42454 659.72247 0.9292714 2000-2009 –> 2010-2019 2.769369 5075.1146 5117.3821
obs Indian (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1139.36903 1160.54560 2.2657476 2000-2009 –> 2010-2019 6.591495 7685.4332 7736.8055
mod Indian (27.25,27.5] cstar_tref ~ temp + phosphate + phosphate_star 669.92733 687.22525 0.9852717 2000-2009 –> 2010-2019 2.966539 5263.7590 5306.0266
obs Indian (27.25,27.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1110.22517 1131.40174 2.1384466 2000-2009 –> 2010-2019 6.421148 7633.6272 7684.9995
obs Indian (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate 1355.97299 1378.37304 2.1292612 2000-2009 –> 2010-2019 5.730999 9166.5982 9220.6492
obs Indian (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1343.74348 1369.87687 2.0807948 2000-2009 –> 2010-2019 5.558062 9054.7987 9117.8583
obs Indian (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate 1386.14762 1408.54766 2.2358049 2000-2009 –> 2010-2019 5.747903 9123.9868 9178.0379
obs Indian (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1353.86670 1380.00009 2.1151602 2000-2009 –> 2010-2019 5.611802 9080.9687 9144.0282
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + aou 1009.89597 1028.14084 1.4069746 2000-2009 –> 2010-2019 2.920635 6729.3188 6774.3163
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 998.39876 1020.29261 1.3739352 2000-2009 –> 2010-2019 2.874206 6692.1535 6746.1504
obs Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 1373.27528 1399.40867 2.1826419 2000-2009 –> 2010-2019 5.744643 9153.8613 9216.9209
obs Indian (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1370.11283 1396.24622 2.1715014 2000-2009 –> 2010-2019 5.769149 9179.4563 9242.5159
mod Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate 1025.17305 1047.06690 1.4402502 2000-2009 –> 2010-2019 2.915478 6666.5091 6720.5061
obs Indian (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1375.55894 1401.69233 2.1907222 2000-2009 –> 2010-2019 5.702661 9115.2673 9178.3269
obs Indian (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1371.38778 1397.52117 2.1759858 2000-2009 –> 2010-2019 5.767422 9175.7407 9238.8003
obs Indian (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1356.84522 1382.97861 2.1253791 2000-2009 –> 2010-2019 5.649008 9106.1507 9169.2103
mod Indian (27.5,27.75] cstar_tref ~ temp + aou + phosphate_star 870.17538 888.42025 1.1001590 2000-2009 –> 2010-2019 2.493969 6332.7266 6377.7240
mod Indian (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 871.87613 893.76998 1.0995796 2000-2009 –> 2010-2019 2.488816 6326.1911 6380.1880
mod Indian (27.5,27.75] cstar_tref ~ temp + nitrate + phosphate_star 850.64121 868.88608 1.0629665 2000-2009 –> 2010-2019 2.396455 6175.4202 6220.4176
obs Indian (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1356.69967 1382.83306 2.1248786 2000-2009 –> 2010-2019 5.682189 9133.4803 9196.5399
mod Indian (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 852.58187 874.47572 1.0628555 2000-2009 –> 2010-2019 2.396054 6178.6828 6232.6797
mod Indian (27.5,27.75] cstar_tref ~ temp + phosphate + phosphate_star 866.19884 884.44371 1.0924838 2000-2009 –> 2010-2019 2.481870 6318.8507 6363.8481
mod Indian (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 868.17084 890.06469 1.0924299 2000-2009 –> 2010-2019 2.478501 6315.3820 6369.3790
mod Indian (27.5,27.75] cstar_tref ~ temp + silicate + phosphate_star 942.16317 960.40804 1.2488134 2000-2009 –> 2010-2019 2.723471 6580.2960 6625.2934
mod Indian (27.75,27.85] cstar_tref ~ aou + phosphate 534.61621 546.46759 1.5255834 2000-2009 –> 2010-2019 3.470526 3206.1865 3235.8775
mod Indian (27.75,27.85] cstar_tref ~ aou + phosphate_star 545.19256 557.04394 1.5830560 2000-2009 –> 2010-2019 3.582503 3252.0844 3281.7754
mod Indian (27.75,27.85] cstar_tref ~ nitrate + phosphate_star 543.43271 555.28409 1.5733448 2000-2009 –> 2010-2019 3.575074 3251.7824 3281.4734
obs Indian (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 809.25538 832.05785 1.9194506 2000-2009 –> 2010-2019 5.190708 4625.2605 4680.2142
obs Indian (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 807.82247 830.62494 1.9123015 2000-2009 –> 2010-2019 5.179755 4622.1287 4677.0824
obs Indian (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 814.84497 837.64744 1.9475949 2000-2009 –> 2010-2019 5.187338 4616.7163 4671.6701
mod Indian (27.75,27.85] cstar_tref ~ sal + temp + phosphate 553.00072 567.81494 1.6155337 2000-2009 –> 2010-2019 3.566477 3230.5081 3267.6219
mod Indian (27.75,27.85] cstar_tref ~ sal + temp + phosphate_star 515.79228 530.60651 1.4184517 2000-2009 –> 2010-2019 3.122719 3020.5425 3057.6563
obs Indian (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 808.07293 830.87539 1.9135492 2000-2009 –> 2010-2019 5.181066 4622.4075 4677.3613
mod Indian (27.75,27.85] cstar_tref ~ silicate + phosphate_star 534.92985 546.78122 1.5272573 2000-2009 –> 2010-2019 3.529613 3243.6799 3273.3709
obs Indian (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 800.93919 823.74166 1.8783285 2000-2009 –> 2010-2019 5.060972 4576.8492 4631.8030
obs Indian (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 800.70277 823.50523 1.8771724 2000-2009 –> 2010-2019 5.065735 4579.3256 4634.2794
mod Indian (27.75,27.85] cstar_tref ~ temp + aou + phosphate_star 498.34443 513.15865 1.3345037 2000-2009 –> 2010-2019 3.016015 2985.9154 3023.0292
obs Indian (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 809.19395 828.73892 1.9291652 2000-2009 –> 2010-2019 5.209028 4627.0345 4674.1378
obs Indian (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 808.57866 828.12363 1.9260765 2000-2009 –> 2010-2019 5.202553 4624.9113 4672.0145
mod Indian (27.75,27.85] cstar_tref ~ temp + nitrate + phosphate_star 495.72577 510.54000 1.3223406 2000-2009 –> 2010-2019 2.969943 2957.2618 2994.3756
obs Indian (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 800.70712 823.50959 1.8771937 2000-2009 –> 2010-2019 5.062865 4578.0053 4632.9591
mod Indian (27.75,27.85] cstar_tref ~ temp + phosphate + phosphate_star 497.94089 512.75511 1.3326221 2000-2009 –> 2010-2019 3.014188 2985.5532 3022.6670
obs Indian (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 808.66272 828.20769 1.9264982 2000-2009 –> 2010-2019 5.203023 4625.0169 4672.1201
mod Indian (27.75,27.85] cstar_tref ~ temp + silicate + phosphate_star 476.94798 491.76220 1.2383090 2000-2009 –> 2010-2019 2.764231 2840.4325 2877.5463
mod Indian (27.85,27.95] cstar_tref ~ sal + aou + phosphate_star 634.78088 650.60481 1.4421711 2000-2009 –> 2010-2019 3.404390 4081.5107 4120.8872
mod Indian (27.85,27.95] cstar_tref ~ sal + nitrate + phosphate_star 635.49438 651.31831 1.4451141 2000-2009 –> 2010-2019 3.356828 4039.4075 4078.7840
mod Indian (27.85,27.95] cstar_tref ~ sal + phosphate + phosphate_star 659.58348 675.40741 1.5480781 2000-2009 –> 2010-2019 3.546131 4136.0290 4175.4056
mod Indian (27.85,27.95] cstar_tref ~ sal + silicate + phosphate_star 615.41473 631.23866 1.3645406 2000-2009 –> 2010-2019 2.826061 3578.4136 3617.7901
mod Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 572.93900 591.92771 1.2017085 2000-2009 –> 2010-2019 3.108723 3974.8107 4022.0625
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1486.50531 1513.43039 2.0318756 2000-2009 –> 2010-2019 4.804948 6207.5718 6268.6017
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1477.25111 1504.17619 2.0048840 2000-2009 –> 2010-2019 4.800034 6213.6218 6274.6518
mod Indian (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate_star 562.08646 581.07517 1.1650186 2000-2009 –> 2010-2019 3.003141 3903.5418 3950.7937
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1484.12959 1511.05466 2.0249119 2000-2009 –> 2010-2019 4.842863 6236.1807 6297.2107
mod Indian (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 572.19608 591.18480 1.1991605 2000-2009 –> 2010-2019 3.100183 3968.9006 4016.1524
obs Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1478.23182 1505.15689 2.0077273 2000-2009 –> 2010-2019 4.807341 6217.6822 6278.7122
mod Indian (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 576.55512 595.54383 1.2141887 2000-2009 –> 2010-2019 2.565915 3413.3224 3460.5742
obs Indian (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1444.21064 1471.13571 1.9114074 2000-2009 –> 2010-2019 4.684757 6165.4695 6226.4994
obs Indian (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1437.91981 1464.84488 1.8941100 2000-2009 –> 2010-2019 4.686211 6172.1842 6233.2142
obs Indian (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 1486.28573 1509.36436 2.0371101 2000-2009 –> 2010-2019 4.812571 6207.0138 6259.3252
obs Indian (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 1479.85952 1502.93815 2.0182801 2000-2009 –> 2010-2019 4.816551 6216.3842 6268.6956
mod Indian (27.85,27.95] cstar_tref ~ temp + nitrate + phosphate_star 689.86576 705.68969 1.6879843 2000-2009 –> 2010-2019 3.915058 4344.4934 4383.8700
obs Indian (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1440.57453 1467.49960 1.9013903 2000-2009 –> 2010-2019 4.699199 6178.7802 6239.8101
obs Indian (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1480.31181 1503.39045 2.0195997 2000-2009 –> 2010-2019 4.821976 6219.6658 6271.9772
mod Indian (27.85,27.95] cstar_tref ~ temp + silicate + phosphate_star 696.89726 712.72119 1.7222388 2000-2009 –> 2010-2019 3.935592 4341.3772 4380.7537
mod Indian (27.95,28.05] cstar_tref ~ sal + aou + phosphate_star 880.79838 898.36552 1.4003236 2000-2009 –> 2010-2019 3.341457 4355.5971 4396.7834
mod Indian (27.95,28.05] cstar_tref ~ sal + nitrate + phosphate_star 864.30652 881.87366 1.3545288 2000-2009 –> 2010-2019 3.252217 4301.4391 4342.6254
mod Indian (27.95,28.05] cstar_tref ~ sal + phosphate + phosphate_star 875.39860 892.96574 1.3851615 2000-2009 –> 2010-2019 3.347757 4368.4942 4409.6805
mod Indian (27.95,28.05] cstar_tref ~ sal + silicate + phosphate_star 819.81105 837.37820 1.2383069 2000-2009 –> 2010-2019 2.717498 3842.3736 3883.5599
obs Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2800.66148 2831.95707 2.0915809 2000-2009 –> 2010-2019 4.877749 10023.2984 10091.6689
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 878.89089 899.97146 1.3893352 2000-2009 –> 2010-2019 3.322849 4349.1444 4398.5680
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 927.25590 948.33647 1.5316345 2000-2009 –> 2010-2019 3.767198 4639.0464 4688.4699
obs Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2760.02415 2791.31975 2.0268182 2000-2009 –> 2010-2019 4.801822 9970.8168 10039.1872
obs Indian (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2750.36685 2781.66244 2.0117248 2000-2009 –> 2010-2019 4.858136 10036.1098 10104.4803
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 866.28009 887.36066 1.3544566 2000-2009 –> 2010-2019 3.234129 4289.5404 4338.9639
obs Indian (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2784.77090 2816.06650 2.0660137 2000-2009 –> 2010-2019 4.925329 10083.8573 10152.2278
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 877.02771 898.10828 1.3841261 2000-2009 –> 2010-2019 3.308450 4339.3541 4388.7777
obs Indian (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2752.08205 2783.37765 2.0143973 2000-2009 –> 2010-2019 4.866600 10043.8207 10112.1912
mod Indian (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 820.54558 841.62615 1.2351516 2000-2009 –> 2010-2019 2.564736 3667.6773 3717.1009
obs Indian (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2693.33215 2724.62775 1.9248498 2000-2009 –> 2010-2019 4.704579 9909.1440 9977.5145
obs Indian (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 2781.52488 2808.34968 2.0640221 2000-2009 –> 2010-2019 4.845042 9996.7059 10055.3092
obs Indian (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate_star 2787.68249 2814.50729 2.0738827 2000-2009 –> 2010-2019 4.927768 10079.1612 10137.7645
obs Indian (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2693.35649 2724.65209 1.9248861 2000-2009 –> 2010-2019 4.786424 9994.7348 10063.1053
mod Indian (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 922.53834 943.61891 1.5171358 2000-2009 –> 2010-2019 3.784206 4657.6167 4707.0403
obs Indian (27.95,28.05] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2786.55824 2813.38303 2.0720788 2000-2009 –> 2010-2019 4.935136 10087.5019 10146.1051
obs Indian (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1734.66161 1762.68882 2.0245249 2000-2009 –> 2010-2019 4.961035 6900.7363 6963.3383
obs Indian (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1767.52528 1791.54860 2.1135661 2000-2009 –> 2010-2019 5.050131 6931.6386 6985.2975
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou 546.42674 562.10573 1.1720885 2000-2009 –> 2010-2019 2.880437 2409.2602 2445.7452
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 547.69724 566.51203 1.1695763 2000-2009 –> 2010-2019 2.767081 2348.9348 2392.7168
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1752.37765 1780.40485 2.0692924 2000-2009 –> 2010-2019 5.053512 6951.7168 7014.3188
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 545.99748 564.81227 1.1637439 2000-2009 –> 2010-2019 2.827233 2385.6049 2429.3869
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 545.92106 564.73585 1.1634823 2000-2009 –> 2010-2019 2.829816 2387.1479 2430.9299
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate 542.56434 561.37913 1.1520521 2000-2009 –> 2010-2019 2.753606 2346.2020 2389.9840
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1768.50729 1796.53450 2.1109115 2000-2009 –> 2010-2019 4.989141 6893.2061 6955.8081
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1767.98314 1796.01035 2.1095460 2000-2009 –> 2010-2019 5.062679 6945.7089 7008.3109
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 535.38275 554.19754 1.1279733 2000-2009 –> 2010-2019 2.745750 2348.5745 2392.3566
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 545.51207 564.32686 1.1620836 2000-2009 –> 2010-2019 2.825503 2385.0799 2428.8619
obs Indian (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1768.02135 1796.04856 2.1096455 2000-2009 –> 2010-2019 5.052799 6938.7609 7001.3628
mod Indian (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 571.70078 590.51557 1.2551314 2000-2009 –> 2010-2019 2.847876 2370.1094 2413.8914
obs Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate 1750.44942 1774.47274 2.0694758 2000-2009 –> 2010-2019 5.073763 6961.6217 7015.2805
obs Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1737.70262 1765.72983 2.0321399 2000-2009 –> 2010-2019 4.960938 6898.3502 6960.9522
obs Indian (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1743.00477 1771.03198 2.0454857 2000-2009 –> 2010-2019 5.063518 6965.5985 7028.2005
mod Indian (28.05,28.1] cstar_tref ~ temp + nitrate + silicate 532.87143 548.55042 1.1262783 2000-2009 –> 2010-2019 2.973454 2469.7730 2506.2580
obs Indian (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1738.55470 1766.58191 2.0342788 2000-2009 –> 2010-2019 5.044120 6955.5391 7018.1411
mod Indian (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 520.89586 539.71065 1.0809216 2000-2009 –> 2010-2019 2.918544 2454.8817 2498.6637
obs Indian (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1667.11860 1694.79130 2.0708699 2000-2009 –> 2010-2019 4.982011 7088.9084 7151.5194
obs Indian (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 1668.50468 1692.22414 2.0799966 2000-2009 –> 2010-2019 4.991542 7088.5957 7142.2622
obs Indian (28.1,28.15] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1668.96540 1696.63810 2.0758427 2000-2009 –> 2010-2019 5.094142 7169.3418 7231.9527
obs Indian (28.1,28.15] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1675.05904 1698.77850 2.0977774 2000-2009 –> 2010-2019 5.117909 7174.7548 7228.4213
mod Indian (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 604.73114 626.07210 0.7598229 2000-2009 –> 2010-2019 1.929968 2583.6623 2631.6201
mod Indian (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 608.11535 629.45632 0.7648032 2000-2009 –> 2010-2019 1.992492 2646.9576 2694.9154
mod Indian (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 608.24959 629.59056 0.7650014 2000-2009 –> 2010-2019 1.994453 2648.8824 2696.8402
obs Indian (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1669.94757 1697.62027 2.0784922 2000-2009 –> 2010-2019 4.944697 7057.9174 7120.5283
obs Indian (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1672.25069 1699.92339 2.0847184 2000-2009 –> 2010-2019 5.012371 7106.3358 7168.9468
mod Indian (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 602.80870 624.14967 0.7570082 2000-2009 –> 2010-2019 1.958083 2614.2982 2662.2561
mod Indian (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate 593.08350 614.42447 0.7429283 2000-2009 –> 2010-2019 1.983731 2645.1859 2693.1438
obs Indian (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1675.79264 1703.46535 2.0943301 2000-2009 –> 2010-2019 5.030794 7116.4111 7179.0221
mod Indian (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 607.99946 629.34042 0.7646321 2000-2009 –> 2010-2019 1.993106 2647.6386 2695.5965
obs Indian (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1671.82590 1699.49860 2.0835686 2000-2009 –> 2010-2019 4.999595 7097.2610 7159.8719
obs Indian (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 1676.40986 1700.12932 2.1014608 2000-2009 –> 2010-2019 5.064421 7134.5569 7188.2234
mod Indian (28.1,28.15] cstar_tref ~ temp + aou + nitrate 602.91066 620.69480 0.7600863 2000-2009 –> 2010-2019 1.969453 2620.9866 2660.9515
mod Indian (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate 596.67968 618.02065 0.7481040 2000-2009 –> 2010-2019 1.909118 2565.8338 2613.7917
obs Indian (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1689.59473 1717.26743 2.1322090 2000-2009 –> 2010-2019 5.122111 7169.4201 7232.0311
mod Indian (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 601.99752 623.33849 0.7558237 2000-2009 –> 2010-2019 1.998183 2655.6646 2703.6225
mod Indian (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 596.29363 617.63459 0.7475467 2000-2009 –> 2010-2019 1.945676 2604.7193 2652.6771
obs Indian (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate 1911.35362 1935.83322 2.1259844 2000-2009 –> 2010-2019 4.805636 8035.9112 8091.2762
obs Indian (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1913.33919 1941.89872 2.1259493 2000-2009 –> 2010-2019 4.753114 7989.6116 8054.2041
obs Indian (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1920.68493 1949.24447 2.1438927 2000-2009 –> 2010-2019 4.822440 8046.1945 8110.7869
obs Indian (28.15,28.2] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 1913.18124 1937.66084 2.1304347 2000-2009 –> 2010-2019 4.870813 8094.7033 8150.0683
obs Indian (28.15,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1914.86302 1943.42255 2.1296591 2000-2009 –> 2010-2019 4.777830 8011.3804 8075.9728
mod Indian (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 502.99966 525.22235 0.5484793 2000-2009 –> 2010-2019 1.296806 2373.3721 2423.8725
obs Indian (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1909.92204 1938.48157 2.1176535 2000-2009 –> 2010-2019 4.797183 8036.3638 8100.9562
mod Indian (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 513.34311 535.56580 0.5580165 2000-2009 –> 2010-2019 1.350862 2478.8356 2529.3360
mod Indian (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 513.54991 535.77261 0.5582089 2000-2009 –> 2010-2019 1.352516 2482.0745 2532.5750
obs Indian (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1911.88845 1940.44799 2.1224234 2000-2009 –> 2010-2019 4.862712 8095.3274 8159.9198
mod Indian (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 503.67158 525.89427 0.5490938 2000-2009 –> 2010-2019 1.319812 2422.5725 2473.0730
mod Indian (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate 498.86361 521.08631 0.5447114 2000-2009 –> 2010-2019 1.345295 2480.3416 2530.8420
mod Indian (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 513.31580 535.53849 0.5579911 2000-2009 –> 2010-2019 1.351433 2480.0462 2530.5466
mod Indian (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate 504.25603 526.47873 0.5496290 2000-2009 –> 2010-2019 1.356816 2499.2553 2549.7557
mod Indian (28.15,28.2] cstar_tref ~ temp + aou + nitrate 511.84747 530.36638 0.5584858 2000-2009 –> 2010-2019 1.362886 2499.1554 2541.2391
obs Indian (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate 1911.14514 1935.62474 2.1254773 2000-2009 –> 2010-2019 4.873782 8100.0092 8155.3742
mod Indian (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 513.78954 536.01223 0.5584319 2000-2009 –> 2010-2019 1.319963 2412.9521 2463.4526
obs Indian (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1913.01832 1941.57785 2.1251690 2000-2009 –> 2010-2019 4.815365 8049.5590 8114.1514
obs Indian (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1915.92305 1944.48258 2.1322437 2000-2009 –> 2010-2019 4.862987 8090.4918 8155.0842
mod Indian (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 512.75046 534.97315 0.5574656 2000-2009 –> 2010-2019 1.348513 2474.5059 2525.0064
mod Indian (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 6489.44445 6523.93262 0.9790916 2000-2009 –> 2010-2019 1.934378 19310.6006 19383.7745
obs Indian (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3847.74433 3881.72482 1.8277369 2000-2009 –> 2010-2019 4.690154 10977.0865 11047.9738
mod Indian (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 6512.79228 6547.28045 0.9840371 2000-2009 –> 2010-2019 1.942254 19362.5187 19435.6927
mod Indian (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 6607.03640 6641.52457 1.0042549 2000-2009 –> 2010-2019 1.962425 19456.3146 19529.4885
obs Indian (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3815.21385 3849.19433 1.7966451 2000-2009 –> 2010-2019 4.650071 10935.4950 11006.3823
mod Indian (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 6466.67671 6506.91291 0.9738725 2000-2009 –> 2010-2019 1.929125 19289.5020 19374.8716
obs Indian (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 3814.73659 3843.86272 1.7980886 2000-2009 –> 2010-2019 4.651643 10933.1475 10993.9080
mod Indian (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate 6567.54526 6602.03343 0.9957329 2000-2009 –> 2010-2019 1.953779 19415.6118 19488.7858
mod Indian (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 6502.79882 6543.03502 0.9814936 2000-2009 –> 2010-2019 1.939514 19352.6154 19437.9850
obs Indian (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 3811.83039 3845.81087 1.7934418 2000-2009 –> 2010-2019 4.610047 10894.7060 10965.5933
mod Indian (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6504.95495 6545.19115 0.9819503 2000-2009 –> 2010-2019 1.939964 19354.7045 19440.0741
obs Indian (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3868.98157 3902.96205 1.8483246 2000-2009 –> 2010-2019 4.693188 10980.6078 11051.4951
mod Indian (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6521.97619 6562.21239 0.9855638 2000-2009 –> 2010-2019 1.945057 19386.1184 19471.4880
mod Indian (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6506.20191 6546.43811 0.9822146 2000-2009 –> 2010-2019 1.940252 19356.1791 19441.5487
obs Indian (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3848.84754 3882.82802 1.8288007 2000-2009 –> 2010-2019 4.656157 10942.6963 11013.5836
mod Indian (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 6577.83039 6612.31856 0.9979454 2000-2009 –> 2010-2019 1.957958 19445.0273 19518.2012
obs Indian (28.2, Inf] cstar_tref ~ temp + aou + nitrate + phosphate 3831.94389 3861.07002 1.8144816 2000-2009 –> 2010-2019 4.692180 10974.6207 11035.3812
obs Indian (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3824.36081 3858.34129 1.8053337 2000-2009 –> 2010-2019 4.650563 10936.3580 11007.2452
obs Indian (28.2, Inf] cstar_tref ~ temp + aou + phosphate 3831.74593 3856.01770 1.8162070 2000-2009 –> 2010-2019 4.694022 10972.5389 11023.1727
obs Indian (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate 3829.91593 3859.04206 1.8125419 2000-2009 –> 2010-2019 4.661900 10944.0886 11004.8491
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 18909.63580 18946.24950 4.2317065 2000-2009 –> 2010-2019 9.416090 32565.1884 32636.0498
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 25250.16923 25288.18470 4.9853087 2000-2009 –> 2010-2019 11.417823 44294.4934 44368.3458
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 18873.71700 18916.43298 4.2074786 2000-2009 –> 2010-2019 9.377609 32519.0131 32601.6848
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 25173.88330 25218.23467 4.9387426 2000-2009 –> 2010-2019 11.246611 44106.6758 44192.8369
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 18883.90420 18926.62018 4.2139740 2000-2009 –> 2010-2019 9.389312 32533.6823 32616.3540
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 25195.31367 25239.66505 4.9514464 2000-2009 –> 2010-2019 11.267137 44135.2964 44221.4574
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 18447.64033 18490.35632 3.9445922 2000-2009 –> 2010-2019 8.672488 31694.8489 31777.5206
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 25248.47110 25292.82247 4.9830991 2000-2009 –> 2010-2019 11.414405 44293.7052 44379.8663
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 20636.84318 20679.55917 5.4950192 2000-2009 –> 2010-2019 11.404404 34877.1214 34959.7931
mod Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 19041.94331 19084.65929 4.3160341 2000-2009 –> 2010-2019 9.594128 32779.2490 32861.9207
obs Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 25381.60951 25425.96088 5.0632675 2000-2009 –> 2010-2019 11.423778 44362.6211 44448.7821
mod Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 20055.73148 20092.34518 5.0336785 2000-2009 –> 2010-2019 10.980033 34321.7747 34392.6362
obs Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 25895.40004 25933.41550 5.3862132 2000-2009 –> 2010-2019 12.262614 45326.8904 45400.7427
mod Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 20004.77245 20047.48844 4.9934737 2000-2009 –> 2010-2019 10.787320 34157.1439 34239.8157
obs Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 25890.19908 25934.55045 5.3815657 2000-2009 –> 2010-2019 12.239274 45307.8967 45394.0577
mod Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 20030.41025 20073.12624 5.0128968 2000-2009 –> 2010-2019 10.883246 34241.1820 34323.8537
obs Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 25889.30252 25933.65389 5.3809874 2000-2009 –> 2010-2019 12.230120 45299.7398 45385.9008
obs Pacific (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 25973.52135 26011.53681 5.4368910 2000-2009 –> 2010-2019 12.308876 45401.2849 45475.1373
mod Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 19826.91938 19869.63536 4.8607886 2000-2009 –> 2010-2019 10.408916 33786.3600 33869.0317
obs Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 25894.84630 25939.19768 5.3845646 2000-2009 –> 2010-2019 12.156540 45239.5520 45325.7131
obs Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 12244.17182 12283.80580 4.2947588 2000-2009 –> 2010-2019 8.733516 23773.2324 23851.9988
obs Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 12270.66784 12310.30182 4.3216048 2000-2009 –> 2010-2019 8.768614 23807.0801 23885.8465
mod Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 10383.24018 10423.07538 2.5873441 2000-2009 –> 2010-2019 5.762547 20782.0068 20861.1076
obs Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 12230.29797 12269.93196 4.2807682 2000-2009 –> 2010-2019 8.598147 23649.6188 23728.3853
mod Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10530.16251 10569.99771 2.6756878 2000-2009 –> 2010-2019 5.852134 20930.5084 21009.6091
obs Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12274.43049 12314.06447 4.3254307 2000-2009 –> 2010-2019 8.678820 23726.6282 23805.3946
obs Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 12277.23500 12316.86898 4.3282846 2000-2009 –> 2010-2019 8.779964 23817.8013 23896.5677
mod Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11981.52800 12021.36320 3.7279979 2000-2009 –> 2010-2019 7.673395 23256.3915 23335.4923
obs Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12264.91142 12304.54540 4.3157581 2000-2009 –> 2010-2019 8.869004 23894.7667 23973.5331
mod Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10587.83707 10627.67228 2.7111861 2000-2009 –> 2010-2019 5.897316 21000.4624 21079.5632
obs Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12276.34491 12315.97889 4.3273786 2000-2009 –> 2010-2019 8.686072 23733.3617 23812.1281
mod Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10985.77825 11025.61345 2.9692916 2000-2009 –> 2010-2019 6.099916 21327.5083 21406.6091
obs Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12278.05994 12317.69393 4.3291244 2000-2009 –> 2010-2019 8.707055 23752.5070 23831.2734
mod Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11031.96504 11071.80024 3.0007972 2000-2009 –> 2010-2019 6.084303 21312.5180 21391.6188
obs Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 12303.65537 12343.28935 4.3552627 2000-2009 –> 2010-2019 8.753715 23796.6127 23875.3791
mod Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 11088.04049 11122.18495 3.0408872 2000-2009 –> 2010-2019 6.339100 21638.1365 21705.9372
mod Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 11131.33712 11165.48158 3.0711235 2000-2009 –> 2010-2019 6.341007 21646.6339 21714.4346
mod Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11064.28280 11104.11800 3.0230408 2000-2009 –> 2010-2019 6.099014 21334.9698 21414.0706
obs Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 12312.43599 12352.06997 4.3642659 2000-2009 –> 2010-2019 8.772732 23814.3940 23893.1604
mod Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 11156.82517 11190.96963 3.0890634 2000-2009 –> 2010-2019 6.357564 21670.4164 21738.2170
obs Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10453.09419 10491.47297 4.5646497 2000-2009 –> 2010-2019 9.482931 21400.2825 21477.1882
obs Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10464.67855 10503.05732 4.5795525 2000-2009 –> 2010-2019 9.556902 21455.2037 21532.1093
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 10367.74492 10406.79910 3.4088394 2000-2009 –> 2010-2019 6.982175 19767.5837 19844.8815
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9349.71743 9388.77160 2.6281308 2000-2009 –> 2010-2019 5.387445 17848.3654 17925.6631
obs Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 10465.78797 10504.16675 4.5809823 2000-2009 –> 2010-2019 9.568766 21463.9144 21540.8201
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9811.76937 9850.82355 2.9574398 2000-2009 –> 2010-2019 6.233460 18908.7794 18986.0771
obs Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10437.18574 10475.56451 4.5442630 2000-2009 –> 2010-2019 9.729362 21576.1464 21653.0521
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9370.28354 9409.33772 2.6419767 2000-2009 –> 2010-2019 5.415380 17886.6850 17963.9827
mod Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 10468.51354 10501.98855 3.4995295 2000-2009 –> 2010-2019 6.970399 19764.9293 19831.1845
obs Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 10491.22632 10524.12241 4.6164863 2000-2009 –> 2010-2019 9.660983 21528.3943 21594.3134
obs Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 10504.96613 10537.86222 4.6343682 2000-2009 –> 2010-2019 9.736939 21583.6858 21649.6049
obs Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10363.74154 10402.12031 4.4513185 2000-2009 –> 2010-2019 9.424509 21351.2322 21428.1379
mod Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 9429.93129 9468.98547 2.6825476 2000-2009 –> 2010-2019 5.475558 17970.8919 18048.1897
obs Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10381.30390 10419.68268 4.4733694 2000-2009 –> 2010-2019 9.523412 21424.4609 21501.3665
mod Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 9475.10236 9508.57737 2.7150730 2000-2009 –> 2010-2019 5.531852 18043.6026 18109.8577
obs Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 10506.03089 10538.92698 4.6357569 2000-2009 –> 2010-2019 9.747583 21591.3286 21657.2477
mod Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 9445.57485 9484.62903 2.6932908 2000-2009 –> 2010-2019 5.503112 18007.4534 18084.7511
obs Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10384.69305 10423.07182 4.4776373 2000-2009 –> 2010-2019 9.541912 21438.0655 21514.9712
mod Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate_star 9915.49778 9948.97278 3.0384175 2000-2009 –> 2010-2019 6.342987 19040.7552 19107.0104
mod Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 9493.75979 9527.23480 2.7280462 2000-2009 –> 2010-2019 5.559444 18080.3061 18146.5613
obs Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 16729.28718 16770.95056 4.5853107 2000-2009 –> 2010-2019 9.711485 32180.7630 32263.2727
obs Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16782.53185 16824.19523 4.6284805 2000-2009 –> 2010-2019 9.802386 32280.8675 32363.3772
mod Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12148.38910 12188.88915 3.0124538 2000-2009 –> 2010-2019 6.267484 24518.7006 24599.6158
obs Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16788.36549 16830.02887 4.6332350 2000-2009 –> 2010-2019 9.813113 32292.5339 32375.0436
obs Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 16822.56831 16858.27978 4.6628498 2000-2009 –> 2010-2019 9.886862 32367.6328 32438.3554
mod Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12098.09118 12138.59122 2.9811298 2000-2009 –> 2010-2019 6.193600 24405.8347 24486.7499
obs Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 16824.55873 16866.22211 4.6628420 2000-2009 –> 2010-2019 9.886551 32371.3302 32453.8399
mod Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12155.11875 12195.61880 3.0166697 2000-2009 –> 2010-2019 6.270335 24523.4363 24604.3515
mod Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 12250.34525 12285.05958 3.0782415 2000-2009 –> 2010-2019 6.338953 24626.9480 24696.3039
obs Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 16731.25675 16766.96822 4.5885152 2000-2009 –> 2010-2019 9.716451 32182.4692 32253.1918
obs Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 16782.58730 16818.29876 4.6301552 2000-2009 –> 2010-2019 9.805286 32280.1204 32350.8430
mod Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11858.74793 11899.24797 2.8364791 2000-2009 –> 2010-2019 6.049882 24167.8713 24248.7865
obs Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 16752.30446 16793.96784 4.6039231 2000-2009 –> 2010-2019 9.761059 32234.2254 32316.7351
mod Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 12248.99481 12283.70914 3.0773777 2000-2009 –> 2010-2019 6.332421 24617.3263 24686.6822
obs Pacific (26.75,27] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 16787.88548 16823.59695 4.6344746 2000-2009 –> 2010-2019 9.815307 32290.9854 32361.7080
mod Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11871.11798 11911.61803 2.8437801 2000-2009 –> 2010-2019 6.056958 24179.9073 24260.8225
obs Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 16762.50347 16804.16685 4.6121944 2000-2009 –> 2010-2019 9.778546 32253.4517 32335.9614
mod Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 12186.10647 12220.82079 3.0374209 2000-2009 –> 2010-2019 6.250913 24493.3610 24562.7169
mod Pacific (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 12253.21345 12287.92778 3.0800768 2000-2009 –> 2010-2019 6.333749 24619.5420 24688.8979
mod Pacific (26.75,27] cstar_tref ~ temp + silicate + phosphate_star 12300.62848 12329.55708 3.1118695 2000-2009 –> 2010-2019 6.372691 24675.3915 24733.1881
obs Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 24047.51424 24091.85890 4.3269049 2000-2009 –> 2010-2019 8.818250 50374.6989 50463.9326
obs Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 24052.58487 24090.59458 4.3305774 2000-2009 –> 2010-2019 8.823227 50380.3860 50456.8720
obs Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 24138.23122 24182.57588 4.3742612 2000-2009 –> 2010-2019 8.954116 50641.2083 50730.4420
obs Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 24190.85216 24228.86187 4.4030242 2000-2009 –> 2010-2019 8.991412 50708.5971 50785.0831
obs Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 24163.22651 24207.57117 4.3874002 2000-2009 –> 2010-2019 8.912087 50557.0363 50646.2700
obs Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 24226.12846 24270.47312 4.4206399 2000-2009 –> 2010-2019 8.966351 50661.6969 50750.9306
mod Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18194.33535 18237.29303 3.4575509 2000-2009 –> 2010-2019 6.831110 35488.0552 35573.6799
obs Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 24090.84329 24135.18795 4.3494593 2000-2009 –> 2010-2019 8.854311 50445.0775 50534.3112
obs Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 24230.76437 24275.10904 4.4230997 2000-2009 –> 2010-2019 8.971429 50671.5217 50760.7554
mod Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate_star 15581.22781 15618.04868 2.3598457 2000-2009 –> 2010-2019 5.090235 31485.7717 31559.1644
mod Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15576.78622 15619.74390 2.3576231 2000-2009 –> 2010-2019 5.061894 31420.2944 31505.9192
obs Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 24125.30184 24169.64651 4.3674802 2000-2009 –> 2010-2019 8.861363 50457.5759 50546.8096
mod Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18162.05242 18205.01009 3.4412611 2000-2009 –> 2010-2019 6.806303 35439.1939 35524.8186
obs Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 24083.03662 24127.38128 4.3453870 2000-2009 –> 2010-2019 8.847696 50432.1853 50521.4190
mod Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 15638.23403 15675.05490 2.3796071 2000-2009 –> 2010-2019 5.063282 31429.6053 31502.9980
mod Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 15618.76516 15661.72283 2.3721455 2000-2009 –> 2010-2019 5.054229 31408.2465 31493.8712
mod Pacific (27,27.25] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 15641.35463 15678.17550 2.3806936 2000-2009 –> 2010-2019 5.066738 31438.5140 31511.9066
mod Pacific (27,27.25] cstar_tref ~ temp + nitrate + phosphate_star 15666.14140 15696.82545 2.3900406 2000-2009 –> 2010-2019 5.120797 31569.5672 31630.7277
mod Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 15622.83372 15665.79140 2.3735577 2000-2009 –> 2010-2019 5.057850 31417.7135 31503.3382
mod Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 15667.00486 15703.82572 2.3896433 2000-2009 –> 2010-2019 5.097621 31517.4973 31590.8899
mod Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 20556.92512 20601.74388 2.4220068 2000-2009 –> 2010-2019 4.722302 40208.1574 40297.6378
obs Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 25063.95222 25109.04649 3.6023045 2000-2009 –> 2010-2019 7.327252 49645.5978 49735.5640
mod Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 20835.40359 20880.22235 2.4988310 2000-2009 –> 2010-2019 4.871506 40756.7835 40846.2639
obs Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 25162.17364 25200.82588 3.6414362 2000-2009 –> 2010-2019 7.406521 49838.1279 49915.2418
mod Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 20724.60248 20769.42124 2.4679765 2000-2009 –> 2010-2019 4.816740 40557.6605 40647.1409
obs Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 25184.82566 25229.91993 3.6495525 2000-2009 –> 2010-2019 7.473429 50002.0118 50091.9780
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 25605.19387 25650.28814 3.8187471 2000-2009 –> 2010-2019 7.584103 50283.7945 50373.7607
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20595.18242 20640.00118 2.4324193 2000-2009 –> 2010-2019 4.956936 41057.4793 41146.9596
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 25626.70026 25671.79453 3.8276111 2000-2009 –> 2010-2019 7.596680 50314.1587 50404.1249
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21288.44080 21333.25956 2.6290520 2000-2009 –> 2010-2019 5.180201 41842.2480 41931.7284
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 25055.95628 25101.05055 3.5992006 2000-2009 –> 2010-2019 7.231163 49410.4391 49500.4053
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20598.42522 20643.24398 2.4333040 2000-2009 –> 2010-2019 4.958864 41064.3253 41153.8056
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 25630.81247 25675.90674 3.8293084 2000-2009 –> 2010-2019 7.599556 50321.0802 50411.0464
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 20619.24788 20657.66396 2.4395392 2000-2009 –> 2010-2019 4.975319 41118.3609 41195.0583
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 21038.75224 21083.57100 2.5564640 2000-2009 –> 2010-2019 5.093290 41543.4625 41632.9428
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20446.50876 20491.32752 2.3922041 2000-2009 –> 2010-2019 4.809652 40530.9046 40620.3850
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 25132.09345 25177.18772 3.6288644 2000-2009 –> 2010-2019 7.264086 49494.6358 49584.6020
mod Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21241.08596 21285.90472 2.6151287 2000-2009 –> 2010-2019 5.150615 41741.1927 41830.6731
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 25053.19872 25098.29299 3.5981308 2000-2009 –> 2010-2019 7.229757 49406.8503 49496.8165
obs Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 25304.23068 25342.88291 3.6976321 2000-2009 –> 2010-2019 7.380548 49781.9049 49859.0188
obs Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 27935.73426 27981.70680 3.4426044 2000-2009 –> 2010-2019 6.998527 54013.6250 54105.0032
mod Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 21974.13903 22019.58790 2.2968460 2000-2009 –> 2010-2019 4.398270 43188.6585 43279.5920
obs Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 28149.00342 28188.40846 3.5138030 2000-2009 –> 2010-2019 7.122629 54368.1139 54446.4381
mod Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 22236.24976 22275.20594 2.3598615 2000-2009 –> 2010-2019 4.553115 43868.2642 43946.2072
mod Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 22050.69591 22096.14478 2.3149369 2000-2009 –> 2010-2019 4.437363 43362.7506 43453.6841
mod Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 22361.97030 22400.92648 2.3904623 2000-2009 –> 2010-2019 4.623529 44170.4312 44248.3742
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29116.69141 29162.66395 3.8517565 2000-2009 –> 2010-2019 7.152650 54472.8425 54564.2208
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 21164.24024 21209.68911 2.1139081 2000-2009 –> 2010-2019 3.926313 40927.5640 41018.4975
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 29078.28872 29117.69376 3.8384461 2000-2009 –> 2010-2019 7.150283 54464.5395 54542.8637
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 21163.36500 21202.32117 2.1141518 2000-2009 –> 2010-2019 3.926903 40926.5614 41004.5044
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20973.60560 21019.05447 2.0730111 2000-2009 –> 2010-2019 3.817757 40363.7756 40454.7091
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 27942.59085 27988.56339 3.4448498 2000-2009 –> 2010-2019 6.623291 52932.1346 53023.5128
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 29050.21823 29096.19077 3.8274857 2000-2009 –> 2010-2019 7.128417 54406.4794 54497.8576
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 21628.73577 21674.18464 2.2169668 2000-2009 –> 2010-2019 4.150534 42026.7526 42117.6861
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 28074.69646 28120.66900 3.4883981 2000-2009 –> 2010-2019 6.666880 53064.3657 53155.7439
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 29073.30944 29112.71448 3.8366290 2000-2009 –> 2010-2019 7.148646 54460.0867 54538.4109
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 21782.62991 21821.58608 2.2526695 2000-2009 –> 2010-2019 4.230803 42402.1418 42480.0848
mod Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20959.46788 21004.91675 2.0700098 2000-2009 –> 2010-2019 3.811055 40328.8112 40419.7447
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 27949.48556 27995.45811 3.4471091 2000-2009 –> 2010-2019 6.625549 52939.0254 53030.4037
obs Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 28226.85635 28266.26139 3.5399132 2000-2009 –> 2010-2019 6.718395 53214.5256 53292.8498
mod Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 7042.77064 7075.79038 1.6803139 2000-2009 –> 2010-2019 3.146563 13760.4964 13826.6893
mod Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 7044.26163 7082.78466 1.6800781 2000-2009 –> 2010-2019 3.143131 13755.8655 13833.0906
mod Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate 7059.38068 7092.40041 1.6880245 2000-2009 –> 2010-2019 3.161818 13796.2100 13862.4030
mod Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 7046.05162 7084.57465 1.6809073 2000-2009 –> 2010-2019 3.141570 13751.5690 13828.7941
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate 7094.86796 7127.88770 1.7046169 2000-2009 –> 2010-2019 3.179193 13833.6725 13899.8654
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14879.64326 14921.19238 3.4569594 2000-2009 –> 2010-2019 6.286457 26647.8429 26729.8453
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate 7079.06617 7112.08591 1.6972086 2000-2009 –> 2010-2019 3.157361 13781.2855 13847.4785
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 7052.56808 7091.09111 1.6839292 2000-2009 –> 2010-2019 3.138357 13742.1652 13819.3903
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7074.16832 7112.69135 1.6939848 2000-2009 –> 2010-2019 3.148848 13764.8804 13842.1056
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14875.13432 14916.68343 3.4541721 2000-2009 –> 2010-2019 6.279908 26636.9755 26718.9780
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + phosphate + phosphate_star 15078.73153 15114.34505 3.5835799 2000-2009 –> 2010-2019 6.435013 26881.8446 26952.1325
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate 7094.08469 7127.10442 1.7042489 2000-2009 –> 2010-2019 3.180619 13837.4154 13903.6084
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14879.72283 14921.27194 3.4570086 2000-2009 –> 2010-2019 6.286308 26647.5886 26729.5910
mod Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 7094.10607 7127.12581 1.7042590 2000-2009 –> 2010-2019 3.178951 13833.2022 13899.3951
obs Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 14877.72313 14913.33666 3.4570088 2000-2009 –> 2010-2019 6.333533 26722.7147 26793.0026
obs Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 14961.69195 14997.30547 3.5093294 2000-2009 –> 2010-2019 6.352394 26750.7567 26821.0445
obs Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 14924.71109 14960.32462 3.4861899 2000-2009 –> 2010-2019 6.327991 26711.6511 26781.9389
obs Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 14909.35973 14944.97326 3.4766292 2000-2009 –> 2010-2019 6.326306 26709.5278 26779.8156
obs Pacific (27.75,27.85] cstar_tref ~ temp + phosphate + phosphate_star 15077.53119 15107.20913 3.5840926 2000-2009 –> 2010-2019 6.437051 26881.2021 26939.7753
obs Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14923.17132 14958.78484 3.4852298 2000-2009 –> 2010-2019 6.326959 26709.9898 26780.2777
mod Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 8571.04274 8605.53091 1.5342952 2000-2009 –> 2010-2019 2.948983 16239.7561 16308.3336
mod Pacific (27.85,27.95] cstar_tref ~ sal + nitrate + silicate 8519.99113 8548.73128 1.5181401 2000-2009 –> 2010-2019 2.947663 16231.9384 16289.0864
mod Pacific (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 8509.38983 8543.87800 1.5140174 2000-2009 –> 2010-2019 2.925681 16168.8249 16237.4024
mod Pacific (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 8565.90587 8600.39404 1.5325953 2000-2009 –> 2010-2019 2.948568 16238.5568 16307.1344
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 8345.95315 8380.44133 1.4615502 2000-2009 –> 2010-2019 2.863895 15976.6716 16045.2491
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 8542.14785 8576.63602 1.5247580 2000-2009 –> 2010-2019 2.950175 16243.6244 16312.2019
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 20719.41176 20763.44381 3.2510569 2000-2009 –> 2010-2019 5.941975 37065.2189 37152.1511
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20697.13635 20741.16840 3.2419831 2000-2009 –> 2010-2019 5.938463 37056.9409 37143.8730
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 8520.49293 8554.98110 1.5176494 2000-2009 –> 2010-2019 2.946978 16233.8496 16302.4272
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8426.82400 8467.06020 1.4866387 2000-2009 –> 2010-2019 2.867701 15993.2328 16073.2400
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20701.11765 20745.14970 3.2436030 2000-2009 –> 2010-2019 5.923796 37019.8461 37106.7782
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 8343.56839 8378.05656 1.4607982 2000-2009 –> 2010-2019 2.862053 15970.9136 16039.4912
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20697.59500 20741.62705 3.2421697 2000-2009 –> 2010-2019 5.939116 37058.5730 37145.5051
mod Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 8425.33062 8459.81879 1.4868012 2000-2009 –> 2010-2019 2.868757 15992.5438 16061.1213
obs Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 20699.12294 20736.86469 3.2436052 2000-2009 –> 2010-2019 5.955863 37096.4839 37170.9971
obs Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 20752.76575 20790.50751 3.2655102 2000-2009 –> 2010-2019 5.968540 37127.0190 37201.5323
obs Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 20741.12685 20778.86860 3.2607449 2000-2009 –> 2010-2019 5.970225 37131.5410 37206.0543
obs Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 20730.98973 20768.73149 3.2566002 2000-2009 –> 2010-2019 5.950856 37083.1998 37157.7131
obs Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 20740.88209 20778.62385 3.2606448 2000-2009 –> 2010-2019 5.970952 37133.3658 37207.8791
obs Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate_star 20749.58314 20781.03460 3.2650257 2000-2009 –> 2010-2019 6.029586 37274.4447 37336.5391
obs Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 34121.46748 34169.06617 3.1648489 2000-2009 –> 2010-2019 6.013218 64448.6022 64543.2670
mod Pacific (27.95,28.05] cstar_tref ~ sal + nitrate + silicate 11584.42922 11614.85973 1.4366169 2000-2009 –> 2010-2019 2.895697 20290.6727 20350.0608
mod Pacific (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate_star 11581.79653 11618.31315 1.4355930 2000-2009 –> 2010-2019 2.877204 20231.7421 20303.0079
mod Pacific (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 11602.02682 11638.54344 1.4400694 2000-2009 –> 2010-2019 2.883039 20256.5328 20327.7986
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou 11321.19392 11351.62443 1.3795823 2000-2009 –> 2010-2019 2.852569 20073.3521 20132.7402
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 10816.46783 10852.98444 1.2760877 2000-2009 –> 2010-2019 2.516090 18737.2788 18808.5445
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 34054.25273 34101.85142 3.1488541 2000-2009 –> 2010-2019 5.992228 64359.8070 64454.4717
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 34050.40501 34098.00370 3.1479409 2000-2009 –> 2010-2019 6.017653 64469.3160 64563.9807
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 11039.84554 11076.36215 1.3207177 2000-2009 –> 2010-2019 2.660768 19336.2111 19407.4769
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 11323.22222 11359.73883 1.3795883 2000-2009 –> 2010-2019 2.812198 19942.8525 20014.1183
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 34105.60793 34153.20662 3.1610675 2000-2009 –> 2010-2019 6.013116 64448.6131 64543.2778
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 10812.99513 10849.51175 1.2754059 2000-2009 –> 2010-2019 2.515200 18732.9943 18804.2600
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate 11327.58758 11358.01810 1.3809404 2000-2009 –> 2010-2019 2.813988 19946.6984 20006.0865
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 34049.35568 34096.95436 3.1476919 2000-2009 –> 2010-2019 6.017386 64468.1885 64562.8532
mod Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 10669.40717 10705.92379 1.2475320 2000-2009 –> 2010-2019 2.482691 18571.2771 18642.5428
obs Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 34104.20096 34144.99984 3.1612088 2000-2009 –> 2010-2019 6.030948 64521.2250 64602.3662
obs Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 34134.68166 34182.28035 3.1680029 2000-2009 –> 2010-2019 5.996319 64374.9558 64469.6205
obs Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 34150.94336 34198.54205 3.1718887 2000-2009 –> 2010-2019 6.013728 64449.8605 64544.5252
obs Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 34147.57716 34195.17585 3.1710839 2000-2009 –> 2010-2019 6.011102 64438.6133 64533.2780
obs Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 34185.14478 34225.94365 3.1805562 2000-2009 –> 2010-2019 6.033356 64529.3871 64610.5283
obs Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 35118.09845 35166.05207 2.9933777 2000-2009 –> 2010-2019 5.525608 57274.1079 57367.2710
obs Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 35245.86991 35293.82354 3.0209089 2000-2009 –> 2010-2019 5.589473 57536.2210 57629.3842
obs Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 35206.90890 35248.01201 3.0129189 2000-2009 –> 2010-2019 5.554890 57397.1201 57476.9743
obs Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 35189.11478 35237.06841 3.0086486 2000-2009 –> 2010-2019 5.564536 57432.8107 57525.9738
obs Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 35298.73457 35339.83767 3.0328082 2000-2009 –> 2010-2019 5.613667 57632.1164 57711.9705
mod Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate_star 6490.15002 6517.67473 1.4394510 2000-2009 –> 2010-2019 2.754443 11405.7943 11459.7121
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou 6360.34891 6387.87362 1.3889434 2000-2009 –> 2010-2019 2.814986 11510.9415 11564.8594
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 6128.30129 6161.33094 1.3023083 2000-2009 –> 2010-2019 2.433114 10608.6381 10673.3395
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 35208.47966 35256.43328 3.0128262 2000-2009 –> 2010-2019 5.540597 57347.8665 57441.0296
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 35294.45458 35342.40821 3.0314438 2000-2009 –> 2010-2019 5.572921 57484.8329 57577.9960
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 6272.56430 6305.59395 1.3550474 2000-2009 –> 2010-2019 2.593703 11016.8977 11081.5991
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 35418.84679 35466.80041 3.0585844 2000-2009 –> 2010-2019 5.625504 57703.1595 57796.3227
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 6127.71217 6160.74183 1.3020972 2000-2009 –> 2010-2019 2.434491 10612.1156 10676.8170
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate 6257.66689 6285.19160 1.3502468 2000-2009 –> 2010-2019 2.707056 11264.0337 11317.9516
obs Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 35277.54519 35325.49881 3.0277731 2000-2009 –> 2010-2019 5.566263 57456.8358 57549.9990
mod Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 5688.68511 5721.71476 1.1539205 2000-2009 –> 2010-2019 2.213003 9979.1228 10043.8243
obs Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 35324.47272 35372.42634 3.0379712 2000-2009 –> 2010-2019 5.608081 57620.4995 57713.6627
mod Pacific (28.05,28.1] cstar_tref ~ temp + aou + phosphate_star 6660.65950 6688.18421 1.5086005 2000-2009 –> 2010-2019 2.714128 11324.4287 11378.3466
mod Pacific (28.05,28.1] cstar_tref ~ temp + phosphate + phosphate_star 6664.70408 6692.22879 1.5102805 2000-2009 –> 2010-2019 2.718876 11335.8403 11389.7582
mod Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 6529.98670 6557.51141 1.4553174 2000-2009 –> 2010-2019 2.646894 11160.0235 11213.9413
obs Pacific (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 13107.79640 13148.94349 2.8918223 2000-2009 –> 2010-2019 5.442106 23324.2761 23405.1877
obs Pacific (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 13107.30852 13148.45561 2.8915550 2000-2009 –> 2010-2019 5.465952 23364.5565 23445.4680
obs Pacific (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 13107.87142 13143.14035 2.8929594 2000-2009 –> 2010-2019 5.443572 23322.9097 23392.2624
obs Pacific (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate_star 13106.79491 13142.06384 2.8923694 2000-2009 –> 2010-2019 5.466819 23362.1302 23431.4830
obs Pacific (28.1,28.15] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 13102.94230 13144.08938 2.8891639 2000-2009 –> 2010-2019 5.455494 23346.5944 23427.5059
obs Pacific (28.1,28.15] cstar_tref ~ sal + silicate + phosphate + phosphate_star 13102.90405 13138.17298 2.8902380 2000-2009 –> 2010-2019 5.456573 23344.5644 23413.9171
mod Pacific (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 5596.32396 5628.94013 1.2553110 2000-2009 –> 2010-2019 2.349246 10221.9882 10286.5985
obs Pacific (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 13107.16753 13148.31462 2.8914778 2000-2009 –> 2010-2019 5.435198 23312.4847 23393.3962
obs Pacific (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13106.23571 13147.38280 2.8909673 2000-2009 –> 2010-2019 5.438824 23318.5919 23399.5035
mod Pacific (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 5733.34977 5765.96594 1.3070598 2000-2009 –> 2010-2019 2.502329 10629.9239 10694.5342
obs Pacific (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13163.66234 13204.80942 2.9225939 2000-2009 –> 2010-2019 5.485504 23401.5374 23482.4490
mod Pacific (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 5598.30394 5630.92011 1.2560440 2000-2009 –> 2010-2019 2.351764 10228.9561 10293.5665
mod Pacific (28.1,28.15] cstar_tref ~ sal + temp + silicate 5567.53950 5594.71964 1.2454377 2000-2009 –> 2010-2019 2.517560 10652.6741 10706.5161
obs Pacific (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13104.30595 13145.45304 2.8899105 2000-2009 –> 2010-2019 5.435816 23313.3427 23394.2543
mod Pacific (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 5122.96095 5155.57712 1.0918032 2000-2009 –> 2010-2019 2.078279 9432.4368 9497.0472
mod Pacific (28.1,28.15] cstar_tref ~ temp + aou + phosphate_star 5610.80229 5637.98242 1.2614242 2000-2009 –> 2010-2019 2.368873 10272.0130 10325.8550
mod Pacific (28.1,28.15] cstar_tref ~ temp + nitrate + phosphate_star 5737.02982 5764.20996 1.3092503 2000-2009 –> 2010-2019 2.511303 10648.9087 10702.7507
mod Pacific (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 5434.48408 5467.10025 1.1968237 2000-2009 –> 2010-2019 2.237218 9906.6932 9971.3036
mod Pacific (28.1,28.15] cstar_tref ~ temp + phosphate + phosphate_star 5613.84703 5641.02717 1.2625570 2000-2009 –> 2010-2019 2.372634 10282.3065 10336.1485
mod Pacific (28.1,28.15] cstar_tref ~ temp + silicate + phosphate_star 5433.57942 5460.75956 1.1972103 2000-2009 –> 2010-2019 2.264507 9981.8571 10035.6991
obs Pacific (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3912.52357 3946.76495 1.7542099 2000-2009 –> 2010-2019 3.978002 8615.6982 8684.6819
obs Pacific (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3877.95495 3912.19634 1.7236656 2000-2009 –> 2010-2019 3.965663 8598.3656 8667.3494
obs Pacific (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate 3912.45514 3941.80489 1.7559325 2000-2009 –> 2010-2019 3.980634 8614.4937 8673.6226
obs Pacific (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate_star 3877.98354 3907.33330 1.7254433 2000-2009 –> 2010-2019 3.967991 8596.9124 8656.0413
obs Pacific (28.15,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3890.56645 3924.80783 1.7347468 2000-2009 –> 2010-2019 3.968252 8602.9540 8671.9377
mod Pacific (28.15,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate_star 5750.70247 5784.55762 0.9581500 2000-2009 –> 2010-2019 1.994000 11335.0469 11402.2500
mod Pacific (28.15,28.2] cstar_tref ~ sal + silicate + phosphate 5659.79043 5688.00305 0.9379368 2000-2009 –> 2010-2019 1.945403 11135.6685 11191.6711
mod Pacific (28.15,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5635.16408 5669.01923 0.9319669 2000-2009 –> 2010-2019 1.927543 11067.5469 11134.7501
obs Pacific (28.15,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3889.84309 3919.19285 1.7358725 2000-2009 –> 2010-2019 3.970474 8601.2679 8660.3968
obs Pacific (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3945.44121 3979.68259 1.7837984 2000-2009 –> 2010-2019 4.067188 8704.5243 8773.5080
obs Pacific (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 3898.05974 3932.30112 1.7413646 2000-2009 –> 2010-2019 3.965464 8601.5263 8670.5100
obs Pacific (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3875.15348 3909.39486 1.7212137 2000-2009 –> 2010-2019 3.958642 8591.2506 8660.2344
mod Pacific (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate 5564.80828 5598.66343 0.9163748 2000-2009 –> 2010-2019 1.904421 10968.0995 11035.3026
mod Pacific (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4924.51955 4964.01722 0.7855620 2000-2009 –> 2010-2019 1.664996 9883.5688 9961.9725
obs Pacific (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3882.88248 3917.12386 1.7279868 2000-2009 –> 2010-2019 3.959736 8593.6073 8662.5910
mod Pacific (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 4994.68592 5028.54107 0.7992753 2000-2009 –> 2010-2019 1.679962 9957.1918 10024.3949
mod Pacific (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 5719.52673 5753.38188 0.9510134 2000-2009 –> 2010-2019 1.859272 10800.1608 10867.3639
mod Pacific (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 5742.44117 5776.29631 0.9562537 2000-2009 –> 2010-2019 1.864483 10822.9529 10890.1560
mod Pacific (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5722.85695 5756.71209 0.9517732 2000-2009 –> 2010-2019 1.860292 10804.5865 10871.7897
mod Pacific (28.15,28.2] cstar_tref ~ temp + silicate + phosphate_star 5771.79463 5800.00725 0.9634707 2000-2009 –> 2010-2019 1.874784 10863.2936 10919.2962
obs Pacific (28.2, Inf] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 5143.53029 5174.34919 1.8631022 2000-2009 –> 2010-2019 4.077078 7856.2790 7913.5786
obs Pacific (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 5145.32488 5181.28026 1.8629500 2000-2009 –> 2010-2019 4.064879 7853.4173 7920.2669
obs Pacific (28.2, Inf] cstar_tref ~ aou + phosphate + phosphate_star 5146.87041 5172.55282 1.8670640 2000-2009 –> 2010-2019 4.156594 7898.5581 7946.3078
obs Pacific (28.2, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5147.65605 5178.47495 1.8661623 2000-2009 –> 2010-2019 4.132108 7888.7116 7946.0112
obs Pacific (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5109.89221 5145.84759 1.8368775 2000-2009 –> 2010-2019 4.043937 7820.8238 7887.6734
obs Pacific (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 5109.98820 5140.80710 1.8384096 2000-2009 –> 2010-2019 4.127937 7863.6747 7920.9743
mod Pacific (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 43846.68777 43892.24586 1.0788563 2000-2009 –> 2010-2019 1.916966 71922.9765 72012.5273
mod Pacific (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 43959.35955 44004.91763 1.0830095 2000-2009 –> 2010-2019 1.920535 72019.9012 72109.4520
mod Pacific (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 43824.18593 43869.74401 1.0780287 2000-2009 –> 2010-2019 1.915632 71886.8062 71976.3570
mod Pacific (28.2, Inf] cstar_tref ~ sal + silicate + phosphate_star 43989.20940 44027.17448 1.0841865 2000-2009 –> 2010-2019 1.922484 72068.5692 72143.1949
obs Pacific (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5114.34799 5150.30337 1.8401360 2000-2009 –> 2010-2019 4.100272 7854.2717 7921.1213
mod Pacific (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 43798.47314 43851.62424 1.0770104 2000-2009 –> 2010-2019 1.900016 71465.9312 71570.4071
obs Pacific (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5121.58387 5157.53925 1.8454400 2000-2009 –> 2010-2019 4.125288 7872.1016 7938.9512
obs Pacific (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 5128.19761 5164.15300 1.8503013 2000-2009 –> 2010-2019 4.148817 7888.6641 7955.5137
mod Pacific (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 43891.65854 43944.80964 1.0804383 2000-2009 –> 2010-2019 1.898519 71423.5503 71528.0262
mod Pacific (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 43796.55328 43849.70438 1.0769399 2000-2009 –> 2010-2019 1.899962 71464.4826 71568.9585
mod Pacific (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 43898.04015 43943.59823 1.0807472 2000-2009 –> 2010-2019 1.904339 71579.5860 71669.1368
obs Pacific (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5143.40710 5179.36248 1.8615294 2000-2009 –> 2010-2019 4.158969 7903.3021 7970.1517
mod Pacific (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate_star 46898.71063 46944.26872 1.1971944 2000-2009 –> 2010-2019 2.060142 75634.7419 75724.2927
mod Pacific (28.2, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 46412.69788 46458.25597 1.1775157 2000-2009 –> 2010-2019 2.025660 74757.8361 74847.3869

6.3 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- GLODAP_glanced %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- GLODAP_glanced %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best <- full_join(
  lm_best_eras %>% select(data_source, basin, gamma_slab, model, eras),
  eras_era) %>% 
  drop_na() %>% 
  arrange(era, basin, gamma_slab, data_source)

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

rm(eras_era, eras_forward, eras_backward)

6.4 Cant coeffcients

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

# subtract coefficients of adjacent era  
lm_best_cant <- lm_best %>%
  arrange(era) %>%
  group_by(data_source, basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot to wide format
lm_best_cant <- lm_best_cant %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

6.5 Write files

# create table of target varaible coefficients in wide format
lm_best_target <- lm_best %>% 
  pivot_wider(names_from = "term",
              names_prefix = "coeff_",
              values_from = "estimate",
              values_fill = 0
              )


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

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

7 Model diagnotics

7.1 Selection criterion vs predictors

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

7.1.1 All models

GLODAP_glanced %>%
  group_split(era) %>%
  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
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
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

7.1.2 Best models

left_join(lm_best_target %>% select(basin, gamma_slab, era, model),
          GLODAP_glanced) %>%
  group_split(era) %>%
  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
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
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

7.2 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).

7.2.1 All models

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

lm_all_eras %>%
  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
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)

7.2.2 Best models

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

lm_best_eras %>%
  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
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)

7.3 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_cant %>% 
  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 9 8 6
(26,26.5] 6 6 6 6 8 6 10
(26.5,26.75] 6 7 5 8 7 5 10
(26.75,27] 6 1 6 7 7 10 7
(27,27.25] 6 2 5 7 8 10 6
(27.25,27.5] 6 5 3 5 9 9 8
(27.5,27.75] 6 2 6 6 10 5 8
(27.75,27.85] 5 4 4 6 10 10 6
(27.85,27.95] 5 4 4 6 10 10 6
(27.95,28.05] 7 1 5 5 8 6 8
(28.05,28.1] 8 2 2 6 5 6 10
(28.1,28.15] 5 3 3 7 8 6 5
(28.15,28.2] 6 4 3 6 5 4 7
(28.2, Inf] 4 8 2 6 8 5 7
total 80.00 57.00 60.00 88.00 112.00 100.00 104.00
Indian - mod
(-Inf,26] 3 2 2 4 2 4 10
(26,26.5] 2 4 2 6 5 9 9
(26.5,26.75] 3 3 3 7 6 10 7
(26.75,27] 2 NA 5 5 6 4 5
(27,27.25] 1 5 1 7 8 3 8
(27.25,27.5] 4 5 2 5 5 NA 9
(27.5,27.75] 4 3 2 7 3 6 10
(27.75,27.85] 3 2 3 8 2 2 6
(27.85,27.95] 2 3 2 10 8 3 6
(27.95,28.05] 3 3 2 9 9 4 6
(28.05,28.1] 5 4 2 5 8 4 10
(28.1,28.15] 6 6 3 4 6 4 10
(28.15,28.2] 5 6 3 4 7 4 10
(28.2, Inf] 7 3 3 5 10 10 7
total 50.00 — 35.00 86.00 85.00 — 113.00
Pacific - mod
(-Inf,26] 8 9 5 4 6 6 10
(26,26.5] 6 4 6 7 4 10 10
(26.5,26.75] 4 5 3 9 5 10 10
(26.75,27] 3 4 3 10 4 10 10
(27,27.25] 3 8 3 10 4 6 10
(27.25,27.5] 4 8 5 8 10 7 7
(27.5,27.75] 5 4 5 6 10 10 6
(27.75,27.85] 3 7 4 4 10 10 6
(27.85,27.95] 3 4 2 7 10 8 6
(27.95,28.05] 2 4 2 6 10 6 7
(28.05,28.1] 3 1 2 8 7 4 9
(28.1,28.15] 2 3 2 9 5 4 10
(28.15,28.2] 1 4 3 8 6 10 7
(28.2, Inf] 3 3 2 10 8 10 6
total 50.00 68.00 47.00 106.00 99.00 111.00 114.00
Atlantic - obs
(-Inf,26] 8 9 6 5 6 6 9
(26,26.5] 8 10 5 5 4 4 10
(26.5,26.75] 4 4 3 10 6 6 10
(26.75,27] 3 3 3 10 7 7 10
(27,27.25] 4 2 4 9 6 8 10
(27.25,27.5] 7 NA 7 6 6 6 10
(27.5,27.75] 7 NA 8 5 6 8 8
(27.75,27.85] 7 NA 7 6 6 10 6
(27.85,27.95] 5 3 7 5 10 10 5
(27.95,28.05] 6 4 4 7 10 9 5
(28.05,28.1] 5 5 1 10 10 6 7
(28.1,28.15] 3 3 2 10 5 5 10
(28.15,28.2] 3 2 2 9 4 2 10
(28.2, Inf] 5 1 6 8 10 5 6
total 75.00 — 65.00 105.00 96.00 92.00 116.00
Indian - obs
(-Inf,26] 3 2 2 2 3 4 9
(26,26.5] 3 2 3 3 5 2 9
(26.5,26.75] 4 2 4 8 4 3 8
(26.75,27] 3 4 3 10 6 6 10
(27,27.25] 5 1 5 9 5 10 5
(27.25,27.5] 3 2 5 8 4 10 6
(27.5,27.75] 5 7 9 4 7 10 6
(27.75,27.85] 6 4 6 7 4 10 10
(27.85,27.95] 6 4 6 7 4 10 10
(27.95,28.05] 6 4 7 6 5 9 10
(28.05,28.1] 8 6 8 4 6 8 8
(28.1,28.15] 5 4 7 6 9 10 6
(28.15,28.2] 6 10 9 5 7 5 5
(28.2, Inf] 8 5 10 2 6 5 9
total 71.00 57.00 84.00 81.00 75.00 102.00 111.00
Pacific - obs
(-Inf,26] 7 10 5 5 5 5 10
(26,26.5] 6 7 6 7 7 7 10
(26.5,26.75] 6 10 6 7 4 4 10
(26.75,27] 5 10 5 8 5 3 10
(27,27.25] 5 6 7 7 10 7 6
(27.25,27.5] 5 6 6 7 10 7 7
(27.5,27.75] 5 4 6 7 10 6 8
(27.75,27.85] 3 2 5 9 5 8 10
(27.85,27.95] 4 2 4 8 5 10 10
(27.95,28.05] 5 6 5 7 6 10 9
(28.05,28.1] 6 5 7 6 9 10 5
(28.1,28.15] 6 4 6 7 10 10 4
(28.15,28.2] 7 4 7 6 10 9 4
(28.2, Inf] 8 7 10 7 5 4 4
total 78.00 83.00 85.00 98.00 101.00 100.00 107.00

7.4 RMSE alternatives

7.4.1 AIC

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

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

Version Author Date
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_eras %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
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

7.4.2 AIC vs BIC

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

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

Version Author Date
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

7.5 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
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

7.6 Residual patterns

7.6.1 Fitted vs actual models

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

GLODAP_augmented_best <- left_join(
  lm_best_target %>% select(data_source, basin, gamma_slab, era, model),
  GLODAP_augmented
)
# calculate equal axis limits and binwidth
axis_lims <- GLODAP_augmented %>%
  summarise(
    max_value = max(
      c(max(.fitted, max(!!sym(params_local$MLR_target))))
      ),
    min_value = min(
      c(min(.fitted, min(!!sym(params_local$MLR_target))))
    )
  )

i_binwidth <- 1
# binwidth_value <- (axis_lims$max_value - axis_lims$min_value) / 40
axis_lims <- c(axis_lims$min_value, axis_lims$max_value)

GLODAP_augmented %>%
  ggplot(aes(cstar_tref, .fitted)) +
  geom_bin2d(binwidth = i_binwidth) +
  scale_fill_viridis_c() +
  geom_abline(slope = 1,
              col = 'red') +
  coord_equal(xlim = axis_lims,
              ylim = axis_lims) +
  labs(title = "All models") +
  facet_wrap(~data_source)

Version Author Date
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
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 
GLODAP_augmented_best %>%
  ggplot(aes(cstar_tref, .fitted)) +
  geom_bin2d(binwidth = i_binwidth) +
  scale_fill_viridis_c() +
  geom_abline(slope = 1,
              col = 'red') +
  coord_equal(xlim = axis_lims,
              ylim = axis_lims) +
  labs(title = "Selected models") +
  facet_wrap(~data_source)

Version Author Date
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 
rm(binwidth_value, axis_lims)

7.6.2 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 = "white") +
  scale_fill_viridis_c() +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Version Author Date
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 = "white") +
  scale_fill_viridis_c() +
  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
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

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

Version Author Date
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
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
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
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]]


[[6]]

7.6.4 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
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
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]]

7.6.5 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(basin, gamma_slab, lat_grid) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> "),
         .resid_mean_offset = .resid_mean - lag(.resid_mean)
         ) %>% 
  ungroup() %>% 
  select(-era) %>% 
  drop_na() %>% 
  filter(eras != paste(unique(lat_residual$era)[1],
                       unique(lat_residual$era)[3],
                       sep = " --> "))

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

Version Author Date
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 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)

Version Author Date
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
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
330dcd0 jens-daniel-mueller 2021-03-20 
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()

Version Author Date
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
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
330dcd0 jens-daniel-mueller 2021-03-20 

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] gt_0.2.2         corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] 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_0.13          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            plyr_1.8.6              
[55] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[58] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[61] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[64] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[67] RcppArmadillo_0.10.1.2.0 data.table_1.13.2        modelr_0.1.8            
[70] vctrs_0.3.5              httpuv_1.5.4             cellranger_1.1.0        
[73] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[76] xfun_0.18                openxlsx_4.2.3           RcppEigen_0.3.3.7.0     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_0.1