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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)

i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
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.

# GLODAP_NA <- GLODAP %>% 
#   filter_all(any_vars(is.na(.)))

# prepare nested data frame

GLODAP %>% 
  # filter(basin %in% unique(GLODAP$basin)[1],
  #        era %in% unique(GLODAP$era)[c(1,2)],
  #        gamma_slab %in% unique(GLODAP$gamma_slab)[c(5,6)]) %>%
  filter_all(any_vars(is.na(.)))

GLODAP_nested <- GLODAP %>% 
  # filter(basin %in% unique(GLODAP$basin)[1],
  #        era %in% unique(GLODAP$era)[c(1,2)],
  #        gamma_slab %in% unique(GLODAP$gamma_slab)[c(5,6)]) %>%
  drop_na() %>% 
  group_by(gamma_slab, era, basin) %>% 
  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)
  )

# 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)) %>%
  unnest(glanced) %>% 
  rename(n_predictors = n)

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

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

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

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

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


# extract input data
GLODAP_data <- GLODAP_nested_lm_fit %>%
  select(-c(fit, tidied, glanced, augmented)) %>%
  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 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  %>%
  select(basin, gamma_slab, model, era, AIC, rmse) %>% 
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> "),
         rmse_sum = rmse + lag(rmse),
         aic_sum = AIC + lag(AIC)
         ) %>% 
  ungroup() %>% 
  select(-c(era)) %>% 
  drop_na()

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

if (params_local$MLR_criterion == "aic") {
  lm_best_eras <- lm_all_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
} else {
  lm_best_eras <- lm_all_eras %>%
    group_by(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")
basin gamma_slab model AIC rmse eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 433.5759 5.060507 1982-1999 –> 2000-2012 11.063216 1006.3159
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 426.9397 4.822913 1982-1999 –> 2000-2012 10.638669 994.1743
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 429.6772 4.919542 1982-1999 –> 2000-2012 10.714379 996.2849
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 429.9839 4.930486 1982-1999 –> 2000-2012 10.721708 996.4830
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 431.6894 4.991797 1982-1999 –> 2000-2012 10.773905 997.9144
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 434.4733 5.093520 1982-1999 –> 2000-2012 10.882371 1000.9011
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 433.2529 5.048674 1982-1999 –> 2000-2012 10.999538 1004.4835
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 433.1999 5.046737 1982-1999 –> 2000-2012 10.977427 1003.8397
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 432.8407 5.107100 1982-1999 –> 2000-2012 11.144378 1004.5799
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 433.1747 5.045817 1982-1999 –> 2000-2012 10.939449 1002.7239
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 264.8034 2.467771 2000-2012 –> 2013-2019 7.528278 698.3793
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 263.7707 2.444286 2000-2012 –> 2013-2019 7.267199 690.7104
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 263.7465 2.443738 2000-2012 –> 2013-2019 7.363280 693.4237
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 263.7516 2.443853 2000-2012 –> 2013-2019 7.374339 693.7355
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 263.7655 2.444167 2000-2012 –> 2013-2019 7.435965 695.4548
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 264.4908 2.460638 2000-2012 –> 2013-2019 7.554158 698.9641
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate_star 262.7366 2.466246 2000-2012 –> 2013-2019 7.560904 695.2407
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 264.6962 2.465323 2000-2012 –> 2013-2019 7.513997 697.9491
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 264.6081 2.463311 2000-2012 –> 2013-2019 7.510048 697.8080
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 264.4925 2.460677 2000-2012 –> 2013-2019 7.506494 697.6672
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4216.2379 5.349300 1982-1999 –> 2000-2012 10.251367 7387.2633
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4218.2375 5.349298 1982-1999 –> 2000-2012 10.227524 7386.1435
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4215.0803 5.336876 1982-1999 –> 2000-2012 10.233900 7387.0248
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4254.3984 5.493653 1982-1999 –> 2000-2012 10.413746 7431.2777
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4274.0663 5.573797 1982-1999 –> 2000-2012 10.520996 7456.7145
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4267.8893 5.548501 1982-1999 –> 2000-2012 10.366152 7422.6754
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4252.5273 5.494174 1982-1999 –> 2000-2012 10.414350 7427.4242
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4203.1163 5.290065 1982-1999 –> 2000-2012 10.116973 7359.9183
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4252.1077 5.484394 1982-1999 –> 2000-2012 10.382229 7424.2261
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4270.3605 5.558607 1982-1999 –> 2000-2012 10.483621 7448.2894
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 711.1223 2.938581 2000-2012 –> 2013-2019 8.287880 4927.3602
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 712.6200 2.933314 2000-2012 –> 2013-2019 8.282612 4930.8575
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 712.7803 2.934994 2000-2012 –> 2013-2019 8.271870 4927.8606
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 712.5692 2.932782 2000-2012 –> 2013-2019 8.426435 4966.9676
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 712.6575 2.933706 2000-2012 –> 2013-2019 8.507503 4986.7238
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 710.8118 2.935324 2000-2012 –> 2013-2019 8.429499 4963.3391
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 712.8071 2.935275 2000-2012 –> 2013-2019 8.225340 4915.9234
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 710.8439 2.935660 2000-2012 –> 2013-2019 8.509569 4982.9375
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 712.5068 2.932129 2000-2012 –> 2013-2019 8.416523 4964.6145
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 712.6199 2.933313 2000-2012 –> 2013-2019 8.491920 4982.9804
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6295.3678 5.324324 1982-1999 –> 2000-2012 9.299431 10580.6266
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6305.2080 5.350170 1982-1999 –> 2000-2012 9.149115 10521.2961
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6296.0631 5.326146 1982-1999 –> 2000-2012 9.288517 10576.4251
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6302.8257 5.343901 1982-1999 –> 2000-2012 9.268609 10568.6132
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6296.7858 5.328041 1982-1999 –> 2000-2012 9.293241 10578.2370
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 6304.5404 5.353680 1982-1999 –> 2000-2012 9.322087 10585.2253
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6304.1559 5.347401 1982-1999 –> 2000-2012 9.262375 10566.1541
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6320.3404 5.390162 1982-1999 –> 2000-2012 9.219918 10548.7550
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 6318.5238 5.390649 1982-1999 –> 2000-2012 9.237930 10551.9056
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6315.8533 5.378273 1982-1999 –> 2000-2012 9.209640 10544.9098
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 742.4267 3.145410 2000-2012 –> 2013-2019 8.512765 7054.1511
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 742.7777 3.149300 2000-2012 –> 2013-2019 8.480674 7040.8342
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 744.3377 3.166647 2000-2012 –> 2013-2019 8.490971 7039.7055
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 740.2960 3.121900 2000-2012 –> 2013-2019 8.472070 7045.5040
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 743.5742 3.158145 2000-2012 –> 2013-2019 8.484291 7039.6373
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 744.9560 3.173548 2000-2012 –> 2013-2019 8.517450 7047.7817
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 744.1193 3.164212 2000-2012 –> 2013-2019 8.492252 7040.9050
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 738.8201 3.105718 2000-2012 –> 2013-2019 8.495880 7059.1605
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 739.0514 3.130215 2000-2012 –> 2013-2019 8.520864 7057.5753
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 740.1362 3.120144 2000-2012 –> 2013-2019 8.498417 7055.9896
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 7189.4312 5.221245 1982-1999 –> 2000-2012 9.732795 12609.9018
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 7205.5754 5.257454 1982-1999 –> 2000-2012 9.754804 12620.2205
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7178.5605 5.197004 1982-1999 –> 2000-2012 9.688738 12590.8965
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7181.7149 5.204026 1982-1999 –> 2000-2012 9.675701 12585.7794
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7177.7390 5.195176 1982-1999 –> 2000-2012 9.687639 12590.3745
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 7204.3618 5.254723 1982-1999 –> 2000-2012 9.751091 12618.6031
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7214.1164 5.276711 1982-1999 –> 2000-2012 9.761707 12623.6778
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 7170.4959 5.179093 1982-1999 –> 2000-2012 9.712437 12599.8720
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7214.0468 5.276554 1982-1999 –> 2000-2012 9.761378 12623.5375
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 7212.1700 5.276833 1982-1999 –> 2000-2012 9.772737 12624.2208
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1530.1553 3.698619 2000-2012 –> 2013-2019 8.956073 8735.7307
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1530.3716 3.700058 2000-2012 –> 2013-2019 8.897062 8708.9321
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1532.9071 3.716969 2000-2012 –> 2013-2019 8.920996 8714.6219
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1530.4432 3.700534 2000-2012 –> 2013-2019 8.895711 8708.1822
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1532.4144 3.713677 2000-2012 –> 2013-2019 8.990389 8746.5307
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1532.1990 3.712239 2000-2012 –> 2013-2019 8.891332 8702.6949
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 1530.4894 3.714179 2000-2012 –> 2013-2019 8.992068 8743.1274
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1532.4660 3.714022 2000-2012 –> 2013-2019 8.990576 8746.5128
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1531.4068 3.720312 2000-2012 –> 2013-2019 8.997145 8743.5769
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1530.5559 3.714622 2000-2012 –> 2013-2019 8.991234 8742.6280
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 14008.9246 5.193636 1982-1999 –> 2000-2012 10.547935 26478.4080
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13956.1281 5.133902 1982-1999 –> 2000-2012 10.448457 26395.6457
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13983.7586 5.165077 1982-1999 –> 2000-2012 10.453058 26403.1150
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13960.6212 5.138959 1982-1999 –> 2000-2012 10.451879 26398.9016
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 14030.5060 5.218253 1982-1999 –> 2000-2012 10.663621 26567.8232
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14019.3976 5.205568 1982-1999 –> 2000-2012 10.570529 26496.8827
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13986.6275 5.168325 1982-1999 –> 2000-2012 10.593832 26509.2483
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 14031.9895 5.222238 1982-1999 –> 2000-2012 10.666449 26566.4519
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14029.3133 5.216890 1982-1999 –> 2000-2012 10.589313 26512.3886
Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14037.2246 5.228231 1982-1999 –> 2000-2012 10.671882 26571.2729
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3182.3642 4.648874 2000-2012 –> 2013-2019 10.041796 17363.1385
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3219.2737 4.811725 2000-2012 –> 2013-2019 10.005361 17228.1983
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3224.9950 4.837474 2000-2012 –> 2013-2019 9.971376 17181.1231
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3220.9256 4.819145 2000-2012 –> 2013-2019 9.984222 17204.6842
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3225.1036 4.837964 2000-2012 –> 2013-2019 9.976923 17185.7249
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3213.1008 4.784097 2000-2012 –> 2013-2019 10.002350 17243.6068
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3183.8217 4.655199 2000-2012 –> 2013-2019 9.932056 17265.2986
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3189.8172 4.681308 2000-2012 –> 2013-2019 9.886876 17209.2148
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3233.9271 4.877949 2000-2012 –> 2013-2019 10.046274 17220.5546
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3186.8033 4.668165 2000-2012 –> 2013-2019 9.885055 17216.1166
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 14870.2320 4.330863 1982-1999 –> 2000-2012 8.857889 28521.6736
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14800.9104 4.272958 1982-1999 –> 2000-2012 8.785530 28437.4631
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14779.6966 4.255393 1982-1999 –> 2000-2012 8.798306 28447.4497
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 14823.0279 4.293015 1982-1999 –> 2000-2012 8.911248 28565.3424
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 14811.4534 4.281714 1982-1999 –> 2000-2012 8.898084 28553.8889
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 14823.8936 4.292069 1982-1999 –> 2000-2012 8.907997 28565.8830
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14812.9332 4.282945 1982-1999 –> 2000-2012 8.923908 28580.1082
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14781.5166 4.256897 1982-1999 –> 2000-2012 8.783149 28432.1619
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 14809.6091 4.281843 1982-1999 –> 2000-2012 8.919956 28571.9228
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14811.5481 4.281793 1982-1999 –> 2000-2012 8.915143 28571.0785
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2942.6816 3.577637 2000-2012 –> 2013-2019 8.007054 17926.7949
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2940.8391 3.565024 2000-2012 –> 2013-2019 7.978016 17907.8195
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2940.0365 3.562396 2000-2012 –> 2013-2019 7.893258 17810.2686
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2942.4388 3.570270 2000-2012 –> 2013-2019 7.843228 17743.3492
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2952.8867 3.604720 2000-2012 –> 2013-2019 7.860112 17732.5832
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2946.1893 3.582599 2000-2012 –> 2013-2019 7.839495 17727.7059
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate 2947.8296 3.594605 2000-2012 –> 2013-2019 8.013408 17919.5866
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2941.6876 3.567806 2000-2012 –> 2013-2019 7.986591 17915.4251
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2948.1160 3.588948 2000-2012 –> 2013-2019 7.983645 17893.7020
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2956.7590 3.617573 2000-2012 –> 2013-2019 8.008898 17898.3932
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 16751.1823 4.152263 1982-1999 –> 2000-2012 8.451399 29696.0043
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 16759.4452 4.159507 1982-1999 –> 2000-2012 8.506055 29751.5577
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 16725.6918 4.134326 1982-1999 –> 2000-2012 8.462892 29701.1737
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 16715.6765 4.127300 1982-1999 –> 2000-2012 8.470679 29706.5114
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16751.5949 4.152554 1982-1999 –> 2000-2012 8.541433 29789.2625
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16725.0149 4.133851 1982-1999 –> 2000-2012 8.503085 29742.5220
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 16750.1189 4.151514 1982-1999 –> 2000-2012 8.463084 29707.9208
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 16758.6711 4.158960 1982-1999 –> 2000-2012 8.516701 29762.3408
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 16760.0377 4.158513 1982-1999 –> 2000-2012 8.495480 29744.2331
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 16762.6478 4.160357 1982-1999 –> 2000-2012 8.498752 29748.3230
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3675.4665 4.208556 2000-2012 –> 2013-2019 8.360819 20426.6488
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3679.2441 4.220975 2000-2012 –> 2013-2019 8.469364 20565.1805
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3722.8603 4.367052 2000-2012 –> 2013-2019 8.501378 20448.5521
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3720.1045 4.357675 2000-2012 –> 2013-2019 8.484974 20435.7810
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3708.5494 4.318574 2000-2012 –> 2013-2019 8.471129 20460.1443
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3713.0869 4.333886 2000-2012 –> 2013-2019 8.467737 20438.1018
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3674.1182 4.204132 2000-2012 –> 2013-2019 8.355646 20424.2371
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3683.0043 4.233374 2000-2012 –> 2013-2019 8.418243 20480.2420
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3711.5876 4.328821 2000-2012 –> 2013-2019 8.487334 20471.6253
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3674.7194 4.206104 2000-2012 –> 2013-2019 8.366461 20437.3672
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 10960.9315 4.035712 1982-1999 –> 2000-2012 8.386675 17146.5528
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 10943.3560 4.017519 1982-1999 –> 2000-2012 8.333762 17111.8636
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 10967.5825 4.044697 1982-1999 –> 2000-2012 8.400687 17153.6702
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 10969.4607 4.044570 1982-1999 –> 2000-2012 8.400331 17157.4361
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 10953.5679 4.028079 1982-1999 –> 2000-2012 8.354890 17127.2989
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 10969.2814 4.044384 1982-1999 –> 2000-2012 8.398868 17156.6307
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10968.5248 4.043597 1982-1999 –> 2000-2012 8.406822 17160.1572
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10955.1879 4.029757 1982-1999 –> 2000-2012 8.381410 17141.1477
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10947.7098 4.022018 1982-1999 –> 2000-2012 8.383827 17138.6490
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10951.2953 4.025727 1982-1999 –> 2000-2012 8.379959 17138.5207
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2499.0765 6.311143 2000-2012 –> 2013-2019 10.346855 13460.0081
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2498.8718 6.309447 2000-2012 –> 2013-2019 10.326966 13442.2277
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2497.1884 6.295524 2000-2012 –> 2013-2019 10.340094 13466.6490
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2497.8123 6.300681 2000-2012 –> 2013-2019 10.328760 13451.3802
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2495.0481 6.277866 2000-2012 –> 2013-2019 10.324276 13466.2785
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2499.0314 6.310769 2000-2012 –> 2013-2019 10.340526 13454.2193
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2495.6602 6.282911 2000-2012 –> 2013-2019 10.304929 13443.3700
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2493.1452 6.262208 2000-2012 –> 2013-2019 10.313585 13469.1468
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2493.7794 6.283893 2000-2012 –> 2013-2019 10.335577 13468.0755
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2498.4635 6.306068 2000-2012 –> 2013-2019 10.331795 13449.7589
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 23055.6339 3.999733 1982-1999 –> 2000-2012 7.865843 35767.2152
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 22960.9228 3.953879 1982-1999 –> 2000-2012 7.867495 35728.4637
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 23059.7915 4.002732 1982-1999 –> 2000-2012 7.918332 35827.6532
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 23467.2270 4.205260 1982-1999 –> 2000-2012 8.151238 36272.4997
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 23502.7690 4.224525 1982-1999 –> 2000-2012 8.202712 36343.2916
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 23031.7050 3.988098 1982-1999 –> 2000-2012 7.913435 35812.9477
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 22976.0406 3.961162 1982-1999 –> 2000-2012 7.875385 35744.2903
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 23207.0114 4.074128 1982-1999 –> 2000-2012 7.983800 35969.9321
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 23211.1555 4.077177 1982-1999 –> 2000-2012 8.122093 36127.8981
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 23019.4237 3.982139 1982-1999 –> 2000-2012 7.902997 35795.4348
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6660.0469 4.498236 2000-2012 –> 2013-2019 8.497969 29715.6808
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6635.9432 4.450808 2000-2012 –> 2013-2019 8.404687 29596.8661
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 6660.6342 4.503357 2000-2012 –> 2013-2019 8.506090 29720.4258
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6776.4138 4.734415 2000-2012 –> 2013-2019 8.939676 30243.6408
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6780.6889 4.747498 2000-2012 –> 2013-2019 8.972022 30283.4579
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 6646.7994 4.472107 2000-2012 –> 2013-2019 8.460205 29678.5043
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6639.6492 4.458068 2000-2012 –> 2013-2019 8.419230 29615.6898
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 6642.7852 4.464220 2000-2012 –> 2013-2019 8.538348 29849.7966
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 6660.9521 4.503987 2000-2012 –> 2013-2019 8.581164 29872.1076
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6648.0388 4.474546 2000-2012 –> 2013-2019 8.456685 29667.4625
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 25208.0644 4.373660 1982-1999 –> 2000-2012 8.369543 42798.8099
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 24600.0016 4.078544 1982-1999 –> 2000-2012 7.916272 41937.6207
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 24674.5568 4.113629 1982-1999 –> 2000-2012 7.953996 42016.4837
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 24674.9018 4.114737 1982-1999 –> 2000-2012 7.955267 42015.0938
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 24760.1576 4.154285 1982-1999 –> 2000-2012 8.046228 42185.7040
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 24837.1815 4.192173 1982-1999 –> 2000-2012 8.084118 42260.7295
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 25003.8298 4.272229 1982-1999 –> 2000-2012 8.315561 42668.5659
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 24760.5561 4.154475 1982-1999 –> 2000-2012 8.023187 42148.5752
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 24676.8885 4.114731 1982-1999 –> 2000-2012 7.954975 42018.6148
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 24724.6099 4.137353 1982-1999 –> 2000-2012 7.993218 42091.7805
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6261.2507 4.933969 2000-2012 –> 2013-2019 9.012513 30861.2522
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6286.2706 4.993910 2000-2012 –> 2013-2019 9.107539 30960.8274
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 6289.2307 5.005879 2000-2012 –> 2013-2019 9.120616 30964.1325
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6311.8811 5.056019 2000-2012 –> 2013-2019 9.210303 31072.0387
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6340.8011 5.132034 2000-2012 –> 2013-2019 9.324208 31177.9826
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6260.5587 4.932322 2000-2012 –> 2013-2019 9.204551 31264.3885
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 6318.9844 5.073382 2000-2012 –> 2013-2019 9.227857 31079.5405
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6291.0314 5.005397 2000-2012 –> 2013-2019 9.120128 30967.9199
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 6288.0872 4.998290 2000-2012 –> 2013-2019 9.436360 31623.3989
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6315.0861 5.063846 2000-2012 –> 2013-2019 9.201198 31039.6960
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 19113.5536 4.269293 1982-1999 –> 2000-2012 7.996363 30940.8573
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 18794.8183 4.069609 1982-1999 –> 2000-2012 7.699954 30508.5286
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 19113.8174 4.270746 1982-1999 –> 2000-2012 8.003268 30945.4360
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18961.3396 4.172739 1982-1999 –> 2000-2012 7.904922 30794.5652
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 19123.5759 4.275728 1982-1999 –> 2000-2012 7.995614 30942.5444
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 19047.6636 4.227226 1982-1999 –> 2000-2012 7.956686 30877.7368
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19044.4131 4.225161 1982-1999 –> 2000-2012 7.955556 30875.5688
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 19042.7439 4.224101 1982-1999 –> 2000-2012 7.975878 30898.5891
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 19040.8542 4.224171 1982-1999 –> 2000-2012 7.982181 30901.8711
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 18743.8700 4.038568 1982-1999 –> 2000-2012 7.782112 30590.2257
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4504.4798 4.810151 2000-2012 –> 2013-2019 9.079444 23618.0334
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4385.6735 4.444332 2000-2012 –> 2013-2019 8.513941 23180.4918
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4508.6450 4.823508 2000-2012 –> 2013-2019 8.996248 23469.9847
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4505.8748 4.814621 2000-2012 –> 2013-2019 9.090349 23629.4508
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 4503.9572 4.814885 2000-2012 –> 2013-2019 9.091188 23626.4271
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4505.5258 4.813502 2000-2012 –> 2013-2019 9.040728 23553.1894
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4518.2078 4.854316 2000-2012 –> 2013-2019 9.079478 23562.6209
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4381.2859 4.431369 2000-2012 –> 2013-2019 8.655470 23424.0298
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 4392.8178 4.471472 2000-2012 –> 2013-2019 8.695644 23433.6720
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4379.7525 4.426847 2000-2012 –> 2013-2019 8.465415 23123.6225
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14125.2611 4.082479 1982-1999 –> 2000-2012 7.323789 21877.3003
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 14065.7929 4.034154 1982-1999 –> 2000-2012 7.274202 21816.6715
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 14123.5485 4.082714 1982-1999 –> 2000-2012 7.325598 21875.0362
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14059.5463 4.029111 1982-1999 –> 2000-2012 7.271264 21812.3614
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14124.2834 4.081680 1982-1999 –> 2000-2012 7.324152 21877.3917
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14081.0474 4.046495 1982-1999 –> 2000-2012 7.287594 21832.8928
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 14122.5881 4.081929 1982-1999 –> 2000-2012 7.325160 21874.3946
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14072.9751 4.039960 1982-1999 –> 2000-2012 7.282046 21825.7289
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 14105.8427 4.068265 1982-1999 –> 2000-2012 7.310422 21856.6617
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 14057.8655 4.027755 1982-1999 –> 2000-2012 7.317562 21854.1920
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2725.5289 4.552227 2000-2012 –> 2013-2019 8.586381 16791.3219
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2739.3209 4.620685 2000-2012 –> 2013-2019 8.649796 16798.8673
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2740.3767 4.625968 2000-2012 –> 2013-2019 8.672463 16821.4242
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2740.1183 4.624674 2000-2012 –> 2013-2019 8.664634 16813.0934
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 2738.5039 4.626604 2000-2012 –> 2013-2019 8.694869 16844.3466
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2725.5254 4.552210 2000-2012 –> 2013-2019 8.643156 16861.1328
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2739.8918 4.623541 2000-2012 –> 2013-2019 8.695509 16852.2778
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 2723.5294 4.552230 2000-2012 –> 2013-2019 8.645236 16859.6515
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2725.0409 4.549823 2000-2012 –> 2013-2019 8.577578 16782.9063
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 2738.3685 4.625927 2000-2012 –> 2013-2019 8.698034 16848.9262
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6221.8984 3.727801 1982-1999 –> 2000-2012 7.143492 9031.4666
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 6220.0525 3.728054 1982-1999 –> 2000-2012 7.150645 9029.7517
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6221.1592 3.726587 1982-1999 –> 2000-2012 7.149093 9032.8322
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 6204.4215 3.699210 1982-1999 –> 2000-2012 7.121790 9016.1173
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6217.0776 3.719892 1982-1999 –> 2000-2012 7.154906 9032.6026
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6235.8005 3.750701 1982-1999 –> 2000-2012 7.184719 9051.0196
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6211.7102 3.711107 1982-1999 –> 2000-2012 7.143123 9026.3135
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6214.5818 3.715805 1982-1999 –> 2000-2012 7.166041 9034.7765
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 6213.2155 3.716842 1982-1999 –> 2000-2012 7.173249 9033.2971
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6214.3560 3.715435 1982-1999 –> 2000-2012 7.170354 9035.9829
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1015.1912 2.781502 2000-2012 –> 2013-2019 6.509303 7237.0896
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1015.8571 2.786024 2000-2012 –> 2013-2019 6.543894 7255.9924
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 1013.2580 2.781956 2000-2012 –> 2013-2019 6.510010 7233.3105
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1015.1012 2.780892 2000-2012 –> 2013-2019 6.507479 7236.2604
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 1014.0305 2.787202 2000-2012 –> 2013-2019 6.545394 7252.3601
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 1012.8285 2.765520 2000-2012 –> 2013-2019 6.464730 7217.2500
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1015.2607 2.781974 2000-2012 –> 2013-2019 6.501867 7232.3383
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1014.9989 2.780198 2000-2012 –> 2013-2019 6.530899 7250.7994
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 1013.1182 2.781007 2000-2012 –> 2013-2019 6.532832 7247.5990
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1013.5425 2.770340 2000-2012 –> 2013-2019 6.481447 7225.2527
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 13924.3551 3.293214 1982-1999 –> 2000-2012 6.135107 19412.0497
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 13927.2209 3.296222 1982-1999 –> 2000-2012 6.149306 19421.6483
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 13914.0557 3.286854 1982-1999 –> 2000-2012 6.139310 19409.9938
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 13947.1694 3.307345 1982-1999 –> 2000-2012 6.142087 19429.2653
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 13953.2408 3.312359 1982-1999 –> 2000-2012 6.156696 19440.8450
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13921.9575 3.291732 1982-1999 –> 2000-2012 6.135665 19411.2464
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 13949.7038 3.308919 1982-1999 –> 2000-2012 6.147366 19434.7023
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13894.0345 3.274526 1982-1999 –> 2000-2012 6.147228 19405.6887
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 13919.3350 3.290112 1982-1999 –> 2000-2012 6.159024 19428.0554
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13900.2273 3.278334 1982-1999 –> 2000-2012 6.134577 19399.1134
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1718.4558 2.881953 2000-2012 –> 2013-2019 6.175166 15642.8109
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1711.9639 2.854887 2000-2012 –> 2013-2019 6.141741 15626.0196
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1712.7005 2.857945 2000-2012 –> 2013-2019 6.145358 15627.6629
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1710.8051 2.858380 2000-2012 –> 2013-2019 6.152605 15634.7963
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1718.4001 2.881720 2000-2012 –> 2013-2019 6.175698 15643.9919
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1718.3679 2.881585 2000-2012 –> 2013-2019 6.173317 15640.3255
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate_star 1716.4673 2.882001 2000-2012 –> 2013-2019 6.177233 15642.0874
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1711.9613 2.854876 2000-2012 –> 2013-2019 6.129402 15605.9958
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1719.5650 2.886603 2000-2012 –> 2013-2019 6.176715 15638.9000
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1712.7971 2.858346 2000-2012 –> 2013-2019 6.136680 15613.0244
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 28544.2040 5.838801 1982-1999 –> 2000-2012 16.870072 38856.0414
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 29046.7941 6.175597 1982-1999 –> 2000-2012 17.205373 39358.2661
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 28762.4548 5.984073 1982-1999 –> 2000-2012 17.053331 39081.5600
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 28614.9786 5.885093 1982-1999 –> 2000-2012 16.830930 38905.8547
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 28629.0482 5.894340 1982-1999 –> 2000-2012 16.836898 38919.1168
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 28762.0241 5.982451 1982-1999 –> 2000-2012 16.994357 39069.1247
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 29222.6374 6.297965 1982-1999 –> 2000-2012 17.245078 39513.8279
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29279.3852 6.337970 1982-1999 –> 2000-2012 17.278428 39568.9361
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 28706.9044 5.945769 1982-1999 –> 2000-2012 16.883143 38995.6955
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29305.3767 6.356378 1982-1999 –> 2000-2012 17.295922 39594.7026
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16970.8773 4.539189 2000-2012 –> 2013-2019 10.377990 45515.0813
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18063.3551 5.482865 2000-2012 –> 2013-2019 11.658462 47110.1492
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 17395.7162 4.886835 2000-2012 –> 2013-2019 10.870909 46158.1711
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17277.2166 4.786080 2000-2012 –> 2013-2019 10.671173 45892.1952
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17302.6985 4.807212 2000-2012 –> 2013-2019 10.701552 45931.7467
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 17389.6738 4.880045 2000-2012 –> 2013-2019 10.862496 46151.6979
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 18304.2074 5.715998 2000-2012 –> 2013-2019 12.013962 47526.8448
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17465.0495 4.944057 2000-2012 –> 2013-2019 10.889826 46171.9539
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18021.7319 5.443550 2000-2012 –> 2013-2019 11.943917 47527.8555
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 17973.3321 5.398189 2000-2012 –> 2013-2019 11.958233 47561.3566
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 18295.1417 4.692153 1982-1999 –> 2000-2012 11.685739 28750.7867
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18346.5253 4.731417 1982-1999 –> 2000-2012 11.682601 28783.2932
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 18237.9972 4.648868 1982-1999 –> 2000-2012 11.652581 28698.1334
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 18256.4609 4.662810 1982-1999 –> 2000-2012 11.686684 28725.5198
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 18380.2337 4.757354 1982-1999 –> 2000-2012 11.756038 28838.1402
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18423.0025 4.790467 1982-1999 –> 2000-2012 11.817426 28893.4244
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 18262.7106 4.667538 1982-1999 –> 2000-2012 11.695664 28733.6477
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18416.2646 4.785235 1982-1999 –> 2000-2012 11.822589 28891.2748
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18424.9106 4.791950 1982-1999 –> 2000-2012 11.820182 28895.8948
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 18443.7971 4.808209 1982-1999 –> 2000-2012 11.850379 28918.9304
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8903.6476 4.127119 2000-2012 –> 2013-2019 8.819271 27198.7893
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8821.9498 4.020922 2000-2012 –> 2013-2019 8.752340 27168.4751
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8960.0859 4.202115 2000-2012 –> 2013-2019 8.850983 27198.0831
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8988.7131 4.240674 2000-2012 –> 2013-2019 8.903484 27245.1740
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 8908.9778 4.134144 2000-2012 –> 2013-2019 8.891498 27289.2115
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8949.5390 4.187997 2000-2012 –> 2013-2019 8.978464 27372.5416
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8994.2014 4.248107 2000-2012 –> 2013-2019 8.915645 27256.9120
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8907.0176 4.131559 2000-2012 –> 2013-2019 8.916794 27323.2822
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8949.7645 4.188298 2000-2012 –> 2013-2019 8.980248 27374.6751
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 8947.8499 4.188413 2000-2012 –> 2013-2019 8.996622 27391.6470
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 20213.8979 5.498208 1982-1999 –> 2000-2012 10.794799 30483.7683
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 20212.9354 5.495691 1982-1999 –> 2000-2012 10.787309 30481.6838
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 19666.6993 5.050626 1982-1999 –> 2000-2012 10.038871 29739.1986
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 20109.6083 5.408594 1982-1999 –> 2000-2012 10.793437 30436.4070
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 19771.4287 5.133071 1982-1999 –> 2000-2012 10.201515 29896.9447
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 19841.2536 5.188785 1982-1999 –> 2000-2012 10.306174 29998.7153
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 19852.6972 5.197973 1982-1999 –> 2000-2012 10.327423 30017.9834
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 19982.7717 5.305205 1982-1999 –> 2000-2012 10.716570 30323.9015
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 19908.3613 5.242901 1982-1999 –> 2000-2012 10.652857 30250.6261
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 20164.2268 5.454460 1982-1999 –> 2000-2012 10.733430 30425.0204
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 8273.8381 4.953073 2000-2012 –> 2013-2019 10.448764 28486.7735
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8238.3748 4.889287 2000-2012 –> 2013-2019 9.939913 27905.0741
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 8362.7109 5.120345 2000-2012 –> 2013-2019 10.528975 28470.3623
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8313.4642 5.025331 2000-2012 –> 2013-2019 10.433925 28423.0725
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8259.3789 4.926966 2000-2012 –> 2013-2019 10.060037 28030.8076
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8277.8280 4.960301 2000-2012 –> 2013-2019 10.149086 28119.0816
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8361.9789 5.115235 2000-2012 –> 2013-2019 10.521628 28468.9551
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8278.8799 4.962209 2000-2012 –> 2013-2019 10.160182 28131.5771
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 8282.6829 4.972745 2000-2012 –> 2013-2019 10.277950 28265.4546
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8259.8746 4.927859 2000-2012 –> 2013-2019 10.170759 28168.2359
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 29651.7034 5.030046 1982-1999 –> 2000-2012 11.093935 48018.6134
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 29591.2103 4.997968 1982-1999 –> 2000-2012 11.013698 47914.6867
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 29515.2075 4.959231 1982-1999 –> 2000-2012 11.018827 47880.0822
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 29803.1046 5.107572 1982-1999 –> 2000-2012 11.252590 48247.7428
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29813.2618 5.112886 1982-1999 –> 2000-2012 11.213510 48216.5865
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 29499.9299 4.951480 1982-1999 –> 2000-2012 10.969063 47825.1608
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 29746.9389 5.078288 1982-1999 –> 2000-2012 11.124811 48099.5071
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 29885.7399 5.150964 1982-1999 –> 2000-2012 11.230411 48269.2502
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 29751.6554 5.080740 1982-1999 –> 2000-2012 11.221833 48192.6526
Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 29891.0109 5.153744 1982-1999 –> 2000-2012 11.237206 48278.2827
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 13484.6841 4.380519 2000-2012 –> 2013-2019 9.410565 43136.3875
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 13455.5572 4.351307 2000-2012 –> 2013-2019 9.349274 43046.7676
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 13442.2849 4.338910 2000-2012 –> 2013-2019 9.298140 42957.4924
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 13588.4835 4.477434 2000-2012 –> 2013-2019 9.609901 43439.0835
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13665.1172 4.551803 2000-2012 –> 2013-2019 9.659375 43468.2218
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 13606.2094 4.496460 2000-2012 –> 2013-2019 9.667838 43528.5839
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 13431.3651 4.328737 2000-2012 –> 2013-2019 9.280217 42931.2950
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13598.6368 4.487217 2000-2012 –> 2013-2019 9.565505 43345.5757
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 13664.2094 4.552872 2000-2012 –> 2013-2019 9.664679 43473.4100
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13666.1535 4.552817 2000-2012 –> 2013-2019 9.633558 43417.8089
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 39455.7178 4.928826 1982-1999 –> 2000-2012 10.638589 61793.5196
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 39136.4172 4.810017 1982-1999 –> 2000-2012 10.506455 61457.7187
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 39134.6601 4.810106 1982-1999 –> 2000-2012 10.642616 61620.6702
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 39080.5239 4.789516 1982-1999 –> 2000-2012 10.606401 61549.5897
Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 39335.4577 4.883737 1982-1999 –> 2000-2012 10.694394 61796.9575
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 39061.9206 4.782712 1982-1999 –> 2000-2012 10.471103 61373.2398
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 39128.4318 4.807082 1982-1999 –> 2000-2012 10.635321 61611.2674
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 39353.0682 4.890314 1982-1999 –> 2000-2012 10.660455 61765.1551
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 39085.8785 4.791476 1982-1999 –> 2000-2012 10.506997 61430.7985
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 38909.9063 4.727475 1982-1999 –> 2000-2012 10.390646 61189.8461
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 18163.3939 4.168594 2000-2012 –> 2013-2019 9.067169 57538.5510
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18141.5860 4.154360 2000-2012 –> 2013-2019 8.964377 57278.0033
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 18148.8701 4.160414 2000-2012 –> 2013-2019 8.970520 57283.5302
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18098.4574 4.126354 2000-2012 –> 2013-2019 8.915870 57178.9813
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 18121.6865 4.141414 2000-2012 –> 2013-2019 8.924126 57183.6071
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 18124.8240 4.143453 2000-2012 –> 2013-2019 8.950535 57253.2558
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18180.2852 4.179652 2000-2012 –> 2013-2019 9.042842 57460.5722
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18172.0150 4.174234 2000-2012 –> 2013-2019 9.027040 57424.3294
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18141.3754 4.154223 2000-2012 –> 2013-2019 8.945699 57227.2539
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 18077.2400 4.112646 2000-2012 –> 2013-2019 8.840120 56987.1464
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 40387.4975 4.510456 1982-1999 –> 2000-2012 9.523441 63513.6751
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 40103.3197 4.417897 1982-1999 –> 2000-2012 9.416838 63210.1037
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 40242.1135 4.463194 1982-1999 –> 2000-2012 9.552006 63482.7795
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 40141.3932 4.430100 1982-1999 –> 2000-2012 9.441176 63266.6666
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 39511.9924 4.232615 1982-1999 –> 2000-2012 9.320339 62753.0277
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 39867.0442 4.342911 1982-1999 –> 2000-2012 9.103939 62601.9652
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 39608.9016 4.262439 1982-1999 –> 2000-2012 9.579691 63186.4431
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 39648.3702 4.274645 1982-1999 –> 2000-2012 9.032025 62377.4445
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 39975.0369 4.377659 1982-1999 –> 2000-2012 9.171589 62760.4771
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 39157.2437 4.125212 1982-1999 –> 2000-2012 8.853283 61839.1915
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 19017.5303 3.306024 2000-2012 –> 2013-2019 7.609563 58758.8781
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 19088.7821 3.339513 2000-2012 –> 2013-2019 7.649397 58848.4636
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18972.2639 3.285498 2000-2012 –> 2013-2019 7.518113 58484.2563
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 19131.6224 3.358332 2000-2012 –> 2013-2019 7.757329 59175.7741
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 19286.2541 3.431492 2000-2012 –> 2013-2019 7.861920 59426.6685
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 18982.6299 3.290187 2000-2012 –> 2013-2019 7.552626 58591.5315
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19001.1483 3.298581 2000-2012 –> 2013-2019 7.605263 58752.5719
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 19097.9199 3.342795 2000-2012 –> 2013-2019 7.655454 58868.4891
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18997.8178 3.297070 2000-2012 –> 2013-2019 7.595461 58722.6472
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19560.0172 3.562231 2000-2012 –> 2013-2019 7.687442 58717.2609
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 43164.1217 3.995635 1982-1999 –> 2000-2012 8.615076 67397.0522
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 43168.5383 3.997301 1982-1999 –> 2000-2012 8.621339 67407.6359
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 43112.0251 3.982130 1982-1999 –> 2000-2012 8.602059 67345.8236
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 43223.5732 4.011623 1982-1999 –> 2000-2012 8.637709 67466.3079
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 42408.1126 3.804074 1982-1999 –> 2000-2012 8.422343 66638.9596
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 43200.4659 4.005083 1982-1999 –> 2000-2012 8.406457 67036.2900
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 42409.0515 3.804306 1982-1999 –> 2000-2012 8.602161 66953.1768
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 43360.9516 4.047072 1982-1999 –> 2000-2012 8.448346 67196.5897
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 43433.4648 4.066716 1982-1999 –> 2000-2012 8.468096 67267.2988
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 43169.6726 3.997076 1982-1999 –> 2000-2012 8.371901 66955.8107
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 21154.0122 3.072646 2000-2012 –> 2013-2019 7.088715 64396.6267
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 21380.3174 3.158150 2000-2012 –> 2013-2019 7.186987 64669.7804
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 20953.1878 2.999351 2000-2012 –> 2013-2019 6.803425 63361.3004
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 21849.2962 3.340522 2000-2012 –> 2013-2019 7.307154 64901.3157
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 20949.8236 2.998138 2000-2012 –> 2013-2019 6.802445 63358.8750
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20949.1880 2.997909 2000-2012 –> 2013-2019 6.814107 63406.2645
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21021.5683 3.024110 2000-2012 –> 2013-2019 6.832790 63448.3021
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20949.1226 2.997885 2000-2012 –> 2013-2019 6.812991 63401.7954
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 21174.1768 3.080845 2000-2012 –> 2013-2019 6.920956 63725.3754
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 21750.9178 3.301246 2000-2012 –> 2013-2019 7.298322 64920.5904
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 21338.0259 3.508736 1982-1999 –> 2000-2012 7.540668 32177.1584
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 21279.2805 3.482982 1982-1999 –> 2000-2012 7.544336 32146.3911
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21237.2138 3.464656 1982-1999 –> 2000-2012 7.543602 32120.9564
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21222.0645 3.458080 1982-1999 –> 2000-2012 7.544161 32112.5322
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21235.0696 3.463724 1982-1999 –> 2000-2012 7.547250 32123.1301
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 21370.2560 3.522947 1982-1999 –> 2000-2012 7.549289 32204.0506
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 21269.5039 3.478714 1982-1999 –> 2000-2012 7.540658 32137.1735
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 21234.1810 3.463338 1982-1999 –> 2000-2012 7.547145 32122.5068
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 21206.7330 3.451437 1982-1999 –> 2000-2012 7.492296 32054.3763
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 21234.3497 3.463411 1982-1999 –> 2000-2012 7.550558 32125.8204
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 10486.0157 2.904075 2000-2012 –> 2013-2019 6.387057 31765.2963
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10470.5016 2.893403 2000-2012 –> 2013-2019 6.358059 31707.7154
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10471.7962 2.894292 2000-2012 –> 2013-2019 6.352372 31693.8607
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10470.7163 2.893551 2000-2012 –> 2013-2019 6.357275 31705.7860
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 10469.8303 2.894316 2000-2012 –> 2013-2019 6.372906 31737.0508
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10541.4067 2.942500 2000-2012 –> 2013-2019 6.405838 31775.5877
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 10535.6450 2.938480 2000-2012 –> 2013-2019 6.389917 31742.3780
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10541.9163 2.942856 2000-2012 –> 2013-2019 6.406267 31776.2660
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 10542.3572 2.944561 2000-2012 –> 2013-2019 6.407980 31774.7247
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10550.1520 2.950013 2000-2012 –> 2013-2019 6.421442 31800.9403
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 29032.6056 3.164474 1982-1999 –> 2000-2012 7.198026 44299.8690
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 28874.1296 3.119804 1982-1999 –> 2000-2012 7.153352 44143.3863
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 28979.9410 3.149186 1982-1999 –> 2000-2012 7.177337 44241.9380
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29047.2932 3.168033 1982-1999 –> 2000-2012 7.210810 44328.9424
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 28902.1512 3.127559 1982-1999 –> 2000-2012 7.193453 44214.7155
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 29030.0985 3.163211 1982-1999 –> 2000-2012 7.196747 44299.3405
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 28872.1959 3.119270 1982-1999 –> 2000-2012 7.163972 44156.4259
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 28903.0337 3.127803 1982-1999 –> 2000-2012 7.187879 44207.8332
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 28903.1826 3.127845 1982-1999 –> 2000-2012 7.189248 44209.7552
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 28901.1839 3.127845 1982-1999 –> 2000-2012 7.195860 44214.5758
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 15048.0646 2.923028 2000-2012 –> 2013-2019 6.042832 43922.1941
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 14996.2710 2.898045 2000-2012 –> 2013-2019 6.025397 43897.6745
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14979.0913 2.889806 2000-2012 –> 2013-2019 6.023637 43903.8585
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14975.9219 2.888288 2000-2012 –> 2013-2019 6.015847 43878.0731
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14979.1268 2.889823 2000-2012 –> 2013-2019 6.024325 43906.3097
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 14977.1495 2.889834 2000-2012 –> 2013-2019 6.036581 43946.3436
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 15019.1903 2.909074 2000-2012 –> 2013-2019 6.028344 43891.3862
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 15012.4160 2.905810 2000-2012 –> 2013-2019 6.033613 43915.4497
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 15012.5878 2.905893 2000-2012 –> 2013-2019 6.033737 43915.7704
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 15018.3533 2.909635 2000-2012 –> 2013-2019 6.037480 43919.5372
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 47904.7366 2.969919 1982-1999 –> 2000-2012 6.947628 77828.1391
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 47780.9294 2.950421 1982-1999 –> 2000-2012 6.923988 77695.2015
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 47848.4212 2.961175 1982-1999 –> 2000-2012 6.952584 77808.5580
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 47903.1667 2.969364 1982-1999 –> 2000-2012 6.914800 77741.5316
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 47930.9607 2.973999 1982-1999 –> 2000-2012 6.924385 77780.7209
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 47770.3131 2.948781 1982-1999 –> 2000-2012 6.897894 77618.6297
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 47878.2409 2.965491 1982-1999 –> 2000-2012 6.907083 77706.1900
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 47862.4943 2.963047 1982-1999 –> 2000-2012 6.939657 77784.9435
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 47882.2289 2.966421 1982-1999 –> 2000-2012 6.963655 77857.9470
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 47842.3969 2.959931 1982-1999 –> 2000-2012 6.943623 77783.8561
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 27048.7232 3.056711 2000-2012 –> 2013-2019 6.026630 74953.4598
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 27050.1172 3.056537 2000-2012 –> 2013-2019 6.006958 74831.0466
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 27034.4729 3.052055 2000-2012 –> 2013-2019 6.021418 74937.6395
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 27049.0867 3.056242 2000-2012 –> 2013-2019 6.005023 74819.3998
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 27137.2607 3.081626 2000-2012 –> 2013-2019 6.047117 75015.5016
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 27007.9834 3.044480 2000-2012 –> 2013-2019 6.018294 74939.7549
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 27007.5136 3.044346 2000-2012 –> 2013-2019 6.044003 75104.5553
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 27031.2780 3.051140 2000-2012 –> 2013-2019 6.014187 74893.7723
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 27008.7941 3.044711 2000-2012 –> 2013-2019 6.017747 74935.5654
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 27148.1331 3.084771 2000-2012 –> 2013-2019 6.044702 74990.5300
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 38406.5588 2.922015 1982-1999 –> 2000-2012 6.941606 58921.1845
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 38395.9442 2.919624 1982-1999 –> 2000-2012 6.927126 58890.5938
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 38460.6636 2.932291 1982-1999 –> 2000-2012 6.946227 58965.0185
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 38354.6133 2.911805 1982-1999 –> 2000-2012 6.893139 58801.4660
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 38389.6225 2.918806 1982-1999 –> 2000-2012 6.900786 58835.6600
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 38295.4017 2.900640 1982-1999 –> 2000-2012 6.879447 58737.6229
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 38378.1269 2.916251 1982-1999 –> 2000-2012 6.891873 58814.5047
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 38350.2705 2.910985 1982-1999 –> 2000-2012 6.901698 58814.2918
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 38407.4632 2.921807 1982-1999 –> 2000-2012 6.931835 58906.7102
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 38455.3384 2.930897 1982-1999 –> 2000-2012 6.942725 58957.8588
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 26775.4943 2.847324 2000-2012 –> 2013-2019 5.769339 65182.0531
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 26675.5369 2.820708 2000-2012 –> 2013-2019 5.740332 65071.4811
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 26583.3993 2.796869 2000-2012 –> 2013-2019 5.708674 64938.0126
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 26602.2725 2.801736 2000-2012 –> 2013-2019 5.716885 64974.5743
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 26701.5915 2.828007 2000-2012 –> 2013-2019 5.746812 65091.2141
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 26728.4312 2.835007 2000-2012 –> 2013-2019 5.769902 65202.7735
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26696.2625 2.826098 2000-2012 –> 2013-2019 5.726738 64991.6642
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26665.3009 2.818049 2000-2012 –> 2013-2019 5.734300 65043.4278
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 26730.4299 2.835007 2000-2012 –> 2013-2019 5.745991 65080.7004
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 26744.7300 2.838744 2000-2012 –> 2013-2019 5.760551 65152.1933
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 49656.6076 3.063464 1982-1999 –> 2000-2012 6.992280 90576.6826
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 50385.5241 3.180129 1982-1999 –> 2000-2012 7.123399 91357.4903
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 51157.2958 3.307803 1982-1999 –> 2000-2012 7.288058 92268.2701
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 50382.8882 3.179375 1982-1999 –> 2000-2012 7.120172 91347.6473
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 51371.3395 3.344206 1982-1999 –> 2000-2012 7.240950 92171.1128
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate 51620.4122 3.387418 1982-1999 –> 2000-2012 7.290011 92440.2002
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 51381.9416 3.346020 1982-1999 –> 2000-2012 7.238398 92165.2675
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 50910.7514 3.266363 1982-1999 –> 2000-2012 7.154734 91678.9601
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 50010.9368 3.119476 1982-1999 –> 2000-2012 7.001893 90756.6574
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 51414.8685 3.351658 1982-1999 –> 2000-2012 7.321263 92486.5198
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 22649.5510 2.691568 2000-2012 –> 2013-2019 5.755032 72306.1585
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 22683.4061 2.701859 2000-2012 –> 2013-2019 5.881988 73068.9302
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 22668.9722 2.697711 2000-2012 –> 2013-2019 6.067069 74184.8397
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 22504.4311 2.650317 2000-2012 –> 2013-2019 5.958119 73661.7270
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 22670.9520 2.697706 2000-2012 –> 2013-2019 6.032091 73984.7777
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 22504.4038 2.650873 2000-2012 –> 2013-2019 6.090541 74424.1605
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 22393.4883 2.619207 2000-2012 –> 2013-2019 5.798582 72776.3765
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 22660.9150 2.694825 2000-2012 –> 2013-2019 6.039032 74032.2545
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 22476.4124 2.642425 2000-2012 –> 2013-2019 6.073219 74347.6458
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 22530.1758 2.657588 2000-2012 –> 2013-2019 5.777064 72541.1127

6.2 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(basin, gamma_slab, model, eras),
  eras_era)

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

rm(eras_era, eras_forward, eras_backward)

6.3 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(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)

6.4 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 %>%
  ggplot(aes(as.factor(n_predictors),
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = c(0,10)) +
  geom_boxplot() +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1") +
  ylim(c(0,NA)) +
  labs(x="Number of predictors")

Version Author Date
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

7.1.2 Best models

left_join(lm_best_target %>% select(basin, gamma_slab, era, model),
          GLODAP_glanced) %>%
  ggplot(aes("",
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = c(0, 10)) +
  geom_boxplot() +
  facet_grid(gamma_slab ~ era) +
  scale_color_brewer(palette = "Set1") +
  ylim(c(0, NA)) +
  labs(x = "Number of predictors pooled")

Version Author Date
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

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(eras ~ basin)

Version Author Date
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(eras ~ basin)

Version Author Date
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(basin, eras, 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", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 7 10 8 8 4 4 8
(26,26.5] 10 9 8 7 4 3 7
(26.5,26.75] 7 3 8 9 7 4 10
(26.75,27] 6 5 6 9 5 8 10
(27,27.25] 6 4 6 9 4 9 10
(27.25,27.5] 7 4 8 7 10 3 9
(27.5,27.75] 8 3 9 7 4 10 7
(27.75,27.85] 7 6 9 6 6 10 5
(27.85,27.95] 5 3 7 7 10 10 5
(27.95,28.05] 7 3 7 8 10 9 4
(28.05,28.1] 7 4 6 10 7 4 10
(28.1,28.15] 5 3 5 10 9 5 10
(28.15,28.2] 8 3 9 5 7 6 10
(28.2, Inf] 8 3 9 7 10 4 7
total 98.00 63.00 105.00 109.00 97.00 89.00 112.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 10 7 8 4 4 8
(26,26.5] 10 10 7 7 3 3 7
(26.5,26.75] 9 4 8 8 7 4 9
(26.75,27] 5 4 5 9 4 10 10
(27,27.25] 7 6 7 8 4 9 9
(27.25,27.5] 8 10 9 7 4 3 7
(27.5,27.75] 8 5 8 7 5 10 7
(27.75,27.85] 8 6 7 8 4 10 6
(27.85,27.95] 5 3 7 7 10 10 5
(27.95,28.05] 6 3 7 8 10 9 5
(28.05,28.1] 6 5 6 10 7 4 10
(28.1,28.15] 7 3 5 10 5 7 10
(28.15,28.2] 7 3 7 7 10 3 10
(28.2, Inf] 6 4 7 10 10 5 6
total 100.00 76.00 97.00 114.00 87.00 91.00 109.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 8 6 6 6 10 5 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 9 7 9 7 3 6
(26.75,27] 8 8 8 9 3 6 7
(27,27.25] 8 5 9 7 7 8 5
(27.25,27.5] 10 4 10 9 4 5 5
(27.5,27.75] 10 3 10 9 5 5 5
(27.75,27.85] 7 6 7 8 4 9 9
(27.85,27.95] 7 10 7 8 3 6 7
(27.95,28.05] 10 4 10 10 4 4 4
(28.05,28.1] 10 4 10 9 5 5 4
(28.1, Inf] 9 7 10 7 3 6 6
total 100.00 71.00 100.00 99.00 65.00 68.00 74.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 8 8 7 6 8 4 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 7 7 9 9 3 6
(26.75,27] 10 7 10 7 3 3 7
(27,27.25] 9 3 9 7 8 7 6
(27.25,27.5] 6 3 8 7 9 10 5
(27.5,27.75] 7 3 7 6 9 9 7
(27.75,27.85] 4 4 5 9 5 10 10
(27.85,27.95] 5 6 5 8 5 10 9
(27.95,28.05] 9 6 9 8 5 6 6
(28.05,28.1] 10 5 10 7 7 5 3
(28.1, Inf] 10 5 10 7 7 5 3
total 91.00 62.00 93.00 89.00 85.00 78.00 78.00

7.4 RMSE alternatives

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(eras~basin)

Version Author Date
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(eras~basin)

Version Author Date
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

7.5 Residual patterns

7.5.1 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(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")

Version Author Date
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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")

Version Author Date
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)

7.5.2 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"
    )
  )

Version Author Date
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"
    )
  )

Version Author Date
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

7.5.3 By model domain

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

p_residuals <- function(df){
    ggplot(data = df, aes(lat, .resid)) +
      geom_bin2d(binwidth = i_binwidth) +
      geom_hline(yintercept = 0, col = "black") +
      scale_fill_viridis_c() +
      facet_grid(gamma_slab ~ era) +
      coord_cartesian(ylim = i_ylim) +
      labs(
        title = paste(
          "Target variable:",
          params_local$MLR_target,
          "| selected best models | basin:",
          unique(df$basin)
        )
      )
}

GLODAP_augmented_best %>% 
  group_split(basin) %>% 
  map(p_residuals)
[[1]]

Version Author Date
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6c0bec6 jens-daniel-mueller 2021-03-05
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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
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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

7.5.4 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(basin, gamma_slab, era, lat_grid) %>% 
  summarise(.resid_mean = mean(.resid)) %>% 
  ungroup()

lat_residual %>%
  ggplot(aes(lat_grid, .resid_mean, col=era)) +
  geom_line() +
  geom_point() +
  geom_hline(yintercept = 0, col = "black") +
  facet_grid(gamma_slab ~ basin)

Version Author Date
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

7.5.5 Latitudinal offset

# calculate residual offset for adjacent eras
lat_residual_offset <- lat_residual  %>%
  select(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
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 

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_0.7.2      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_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2   
[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_0.4.9              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_0.2.0          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