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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.

# 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)]) %>%
  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)
  )

# calculate vif
GLODAP_nested_lm_fit <- GLODAP_nested_lm_fit %>% 
  mutate(
    # vif = map(fit, car::vif)
    vif = map(fit, ols_vif_tol)
  )

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

5 Tidy models

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

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

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

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

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

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

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


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

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

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

6 Prepare coeffcients

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

6.1 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) %>% 
  select(basin, gamma_slab, model, era, AIC, BIC, 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),
         bic_sum = BIC + lag(BIC)
         ) %>% 
  ungroup() %>% 
  select(-c(era)) %>% 
  drop_na()

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

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

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

if (params_local$MLR_criterion == "rmse") {
  lm_best_eras <- lm_all_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$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 BIC rmse eras rmse_sum aic_sum bic_sum
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 288.8293 301.3186 5.496553 1982-1999 –> 2000-2010 11.499263 861.5693 891.3200
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 280.4162 292.9055 4.995403 1982-1999 –> 2000-2010 10.811158 847.6508 877.4015
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 282.3829 294.8722 5.108303 1982-1999 –> 2000-2010 10.903141 848.9906 878.7412
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 282.2873 294.7766 5.102754 1982-1999 –> 2000-2010 10.893976 848.7863 878.5370
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 280.2768 292.7662 4.987500 1982-1999 –> 2000-2010 11.392397 864.3011 894.0518
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 283.5811 296.0704 5.178331 1982-1999 –> 2000-2010 10.960439 849.8061 879.5568
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 289.7931 302.2824 5.557086 1982-1999 –> 2000-2010 11.345937 856.2209 885.9716
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 288.6992 301.1885 5.488437 1982-1999 –> 2000-2010 11.439301 859.9299 889.6805
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 288.6760 301.1653 5.486986 1982-1999 –> 2000-2010 11.417676 859.3157 889.0664
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 288.6475 301.1368 5.485210 1982-1999 –> 2000-2010 11.378843 858.1966 887.9473
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 426.2550 442.8412 3.287971 2000-2010 –> 2011-2019 8.784524 715.0843 744.1598
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 413.7789 430.3650 3.038329 2000-2010 –> 2011-2019 8.033732 694.1951 723.2706
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 411.9823 428.5684 3.003976 2000-2010 –> 2011-2019 8.112279 694.3652 723.4407
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 411.8147 428.4008 3.000791 2000-2010 –> 2011-2019 8.103545 694.1020 723.1774
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 411.4512 428.0373 2.993895 2000-2010 –> 2011-2019 8.172226 695.0322 724.1077
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 411.1104 427.6965 2.987445 2000-2010 –> 2011-2019 8.544531 700.9035 729.9790
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 424.4422 441.0283 3.250461 2000-2010 –> 2011-2019 8.738898 713.1414 742.2169
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 423.6359 440.2221 3.233916 2000-2010 –> 2011-2019 8.720903 712.3119 741.3873
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 419.8646 434.0813 3.197865 2000-2010 –> 2011-2019 8.755179 707.6613 732.5832
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 421.6980 438.2842 3.194494 2000-2010 –> 2011-2019 8.679704 710.3455 739.4210
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3135.3105 3160.6340 5.396464 1982-1999 –> 2000-2010 10.298531 6306.3358 6357.2398
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3131.6623 3161.2064 5.366250 1982-1999 –> 2000-2010 10.244475 6299.5683 6358.9562
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3136.1327 3165.6768 5.390149 1982-1999 –> 2000-2010 10.287173 6308.0772 6367.4651
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3179.3420 3208.8861 5.626709 1982-1999 –> 2000-2010 10.514504 6349.3057 6408.6937
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3171.1409 3200.6850 5.581025 1982-1999 –> 2000-2010 10.501118 6348.0202 6407.4081
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3164.5037 3194.0478 5.544325 1982-1999 –> 2000-2010 10.361975 6319.2898 6378.6777
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 3169.7579 3195.0815 5.584449 1982-1999 –> 2000-2010 10.504625 6344.6548 6395.5587
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3126.6725 3156.2166 5.339699 1982-1999 –> 2000-2010 10.166608 6283.4745 6342.8624
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3154.4974 3184.0416 5.489451 1982-1999 –> 2000-2010 10.387286 6326.6158 6386.0037
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3168.9640 3198.5082 5.568962 1982-1999 –> 2000-2010 10.493975 6346.8929 6406.2808
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1738.0291 1760.5635 3.714040 2000-2010 –> 2011-2019 9.110503 4873.3396 4921.1976
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1711.7423 1738.0325 3.551474 2000-2010 –> 2011-2019 8.917723 4843.4046 4899.2389
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1708.6100 1734.9002 3.533915 2000-2010 –> 2011-2019 8.924065 4844.7427 4900.5770
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1721.5574 1747.8476 3.607059 2000-2010 –> 2011-2019 9.188084 4892.6983 4948.5326
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1724.8058 1751.0960 3.625647 2000-2010 –> 2011-2019 9.312741 4914.8866 4970.7209
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 1740.7240 1763.2585 3.729911 2000-2010 –> 2011-2019 9.314360 4910.4819 4958.3399
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1739.7539 1766.0441 3.712423 2000-2010 –> 2011-2019 9.052122 4866.4264 4922.2607
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1715.5090 1741.7992 3.572703 2000-2010 –> 2011-2019 9.062155 4870.0064 4925.8407
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1718.1769 1744.4671 3.587817 2000-2010 –> 2011-2019 9.156779 4887.1410 4942.9753
Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1724.5027 1750.7929 3.623908 2000-2010 –> 2011-2019 9.298264 4912.3276 4968.1619
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3952.5849 3983.7382 5.430917 1982-1999 –> 2000-2010 9.406023 8237.8437 8301.4578
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3952.1846 3983.3379 5.429200 1982-1999 –> 2000-2010 9.228145 8168.2727 8231.8868
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3951.8375 3982.9908 5.427712 1982-1999 –> 2000-2010 9.390083 8232.1995 8295.8136
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3953.1019 3984.2552 5.433135 1982-1999 –> 2000-2010 9.357843 8218.8895 8282.5036
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3953.3927 3984.5460 5.434384 1982-1999 –> 2000-2010 9.399584 8234.8440 8298.4581
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 3951.6985 3978.4013 5.435696 1982-1999 –> 2000-2010 9.404103 8232.3834 8286.9098
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3953.5905 3984.7437 5.435232 1982-1999 –> 2000-2010 9.350206 8215.5887 8279.2028
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3956.8813 3988.0346 5.449379 1982-1999 –> 2000-2010 9.279135 8185.2960 8248.9101
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 3955.2674 3981.9702 5.451041 1982-1999 –> 2000-2010 9.298322 8188.6492 8243.1755
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3957.1520 3988.3053 5.450544 1982-1999 –> 2000-2010 9.281911 8186.2085 8249.8226
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2891.8172 2921.6610 3.750315 2000-2010 –> 2011-2019 9.184549 6845.1751 6906.1722
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2888.7759 2918.6197 3.739468 2000-2010 –> 2011-2019 9.170385 6841.3609 6902.3579
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2903.8906 2933.7344 3.793686 2000-2010 –> 2011-2019 9.221398 6855.7281 6916.7252
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2899.0903 2928.9341 3.776382 2000-2010 –> 2011-2019 9.209518 6852.1922 6913.1893
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2882.9929 2912.8367 3.718929 2000-2010 –> 2011-2019 9.153312 6836.3857 6897.3827
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2897.2753 2927.1191 3.769860 2000-2010 –> 2011-2019 9.205093 6850.8658 6911.8628
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2930.4432 2960.2870 3.890845 2000-2010 –> 2011-2019 9.340224 6887.3245 6948.3216
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2929.2448 2959.0885 3.886407 2000-2010 –> 2011-2019 9.343022 6887.8060 6948.8031
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2912.8918 2942.7356 3.826348 2000-2010 –> 2011-2019 9.276892 6870.0438 6931.0409
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2926.5067 2956.3505 3.876286 2000-2010 –> 2011-2019 9.334490 6885.4367 6946.4338
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4912.3246 4944.8128 5.920384 1982-1999 –> 2000-2010 10.343511 10243.9122 10310.1330
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4875.3284 4907.8167 5.779125 1982-1999 –> 2000-2010 10.207630 10209.1395 10275.3603
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4907.9294 4940.4177 5.903423 1982-1999 –> 2000-2010 10.311991 10233.4834 10299.7041
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4890.4792 4922.9675 5.836562 1982-1999 –> 2000-2010 10.244657 10215.8366 10282.0574
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4911.9362 4944.4244 5.918883 1982-1999 –> 2000-2010 10.341706 10243.3979 10309.6186
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4892.2665 4924.7547 5.843375 1982-1999 –> 2000-2010 10.243957 10214.5026 10280.7233
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4889.9929 4922.4812 5.834710 1982-1999 –> 2000-2010 10.244035 10215.8610 10282.0818
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4895.7228 4928.2111 5.856573 1982-1999 –> 2000-2010 10.290194 10231.6466 10297.8674
Atlantic (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4899.9337 4927.7808 5.880364 1982-1999 –> 2000-2010 10.340122 10244.6140 10301.3746
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4887.6858 4920.1740 5.825929 1982-1999 –> 2000-2010 10.277507 10231.0066 10297.2274
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3831.7013 3863.3559 4.007609 2000-2010 –> 2011-2019 9.786734 8707.0297 8771.1726
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 3758.9213 3790.5760 3.798780 2000-2010 –> 2011-2019 9.702203 8666.8507 8730.9936
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3753.6168 3785.2715 3.783993 2000-2010 –> 2011-2019 9.620555 8644.0961 8708.2390
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3758.5171 3790.1718 3.797652 2000-2010 –> 2011-2019 9.641026 8650.7836 8714.9265
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3753.3893 3785.0439 3.783360 2000-2010 –> 2011-2019 9.618069 8643.3822 8707.5252
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 3799.7096 3826.8422 3.920198 2000-2010 –> 2011-2019 9.776779 8693.4347 8748.4144
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3757.2186 3788.8732 3.794027 2000-2010 –> 2011-2019 9.783406 8687.2934 8751.4364
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3757.1716 3788.8263 3.793896 2000-2010 –> 2011-2019 9.619825 8644.8574 8709.0003
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3757.1238 3788.7785 3.793763 2000-2010 –> 2011-2019 9.785673 8687.8463 8751.9892
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3755.2277 3782.3603 3.794053 2000-2010 –> 2011-2019 9.787725 8684.4005 8739.3801
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 9708.2287 9745.6643 5.485955 1982-1999 –> 2000-2010 10.691809 21027.4023 21103.4682
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9669.8680 9707.3037 5.418617 1982-1999 –> 2000-2010 10.594458 20967.7400 21043.8059
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9685.7666 9723.2022 5.446424 1982-1999 –> 2000-2010 10.601804 20969.0461 21045.1120
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9673.5819 9711.0175 5.425100 1982-1999 –> 2000-2010 10.600221 20970.9421 21047.0080
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 9710.2433 9747.6789 5.489514 1982-1999 –> 2000-2010 10.776014 21086.0492 21162.1151
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 9726.0560 9763.4916 5.517532 1982-1999 –> 2000-2010 10.678626 21013.4168 21089.4827
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 9676.3647 9713.8004 5.429963 1982-1999 –> 2000-2010 10.652281 21007.1702 21083.2361
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 9728.9255 9761.0132 5.526190 1982-1999 –> 2000-2010 10.750963 21059.4631 21124.6624
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 9732.7949 9770.2305 5.529517 1982-1999 –> 2000-2010 10.694911 21023.2245 21099.2903
Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 9733.4287 9765.5164 5.534207 1982-1999 –> 2000-2010 10.758751 21063.8037 21129.0030
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 7602.3998 7638.3885 4.880163 2000-2010 –> 2011-2019 10.396461 17327.7611 17401.1854
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7663.6587 7699.6474 4.999960 2000-2010 –> 2011-2019 10.418577 17333.5267 17406.9510
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 7606.0063 7641.9950 4.887135 2000-2010 –> 2011-2019 10.416049 17338.4624 17411.8867
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7658.3056 7694.2943 4.989375 2000-2010 –> 2011-2019 10.435799 17344.0721 17417.4965
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7663.6145 7699.6032 4.999873 2000-2010 –> 2011-2019 10.424972 17337.1963 17410.6207
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 7608.0479 7644.0367 4.891087 2000-2010 –> 2011-2019 10.380601 17318.2912 17391.7155
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 7512.0275 7548.0162 4.708652 2000-2010 –> 2011-2019 10.307843 17283.7147 17357.1390
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7499.5910 7535.5797 4.685527 2000-2010 –> 2011-2019 10.203059 17225.6470 17299.0713
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 7679.4920 7715.4807 5.031399 2000-2010 –> 2011-2019 10.461362 17355.8568 17429.2811
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7502.3646 7538.3533 4.690674 2000-2010 –> 2011-2019 10.220191 17235.1595 17308.5838
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 9693.4847 9731.4747 4.306591 1982-1999 –> 2000-2010 8.812258 23007.0844 23085.1794
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 9664.6803 9702.6703 4.269852 1982-1999 –> 2000-2010 8.760099 22962.6895 23040.7846
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 9664.4092 9702.3992 4.269507 1982-1999 –> 2000-2010 8.787763 22990.6986 23068.7936
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 9673.7224 9706.2853 4.283899 1982-1999 –> 2000-2010 8.865433 23061.2658 23128.2044
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 9675.0810 9713.0710 4.283081 1982-1999 –> 2000-2010 8.864359 23064.3690 23142.4640
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 9675.4408 9713.4308 4.283540 1982-1999 –> 2000-2010 8.863944 23063.8614 23141.9565
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9681.4543 9719.4444 4.291209 1982-1999 –> 2000-2010 8.889886 23087.9826 23166.0777
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9661.5928 9699.5828 4.265932 1982-1999 –> 2000-2010 8.768725 22972.2909 23050.3860
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 9675.6017 9708.1646 4.286294 1982-1999 –> 2000-2010 8.881632 23076.8265 23143.7652
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9677.4595 9715.4495 4.286113 1982-1999 –> 2000-2010 8.878660 23077.9214 23156.0164
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 7987.1358 8018.5495 4.279983 2000-2010 –> 2011-2019 8.689659 17758.1466 17822.1232
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 7985.1341 8021.7834 4.273817 2000-2010 –> 2011-2019 8.669944 17747.7990 17822.4383
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 7962.3102 7998.9595 4.238823 2000-2010 –> 2011-2019 8.545414 17655.7949 17730.4342
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 7942.1338 7978.7832 4.208126 2000-2010 –> 2011-2019 8.477978 17606.8141 17681.4534
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 7953.4754 7990.1248 4.225354 2000-2010 –> 2011-2019 8.494862 17617.8846 17692.5240
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 7940.7543 7977.4036 4.206035 2000-2010 –> 2011-2019 8.471968 17602.3471 17676.9865
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate 7983.8438 8015.2575 4.274910 2000-2010 –> 2011-2019 8.689890 17758.8962 17822.8728
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 7985.1727 8021.8220 4.273877 2000-2010 –> 2011-2019 8.682948 17757.7222 17832.3615
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 7983.9172 8020.5665 4.271944 2000-2010 –> 2011-2019 8.660643 17740.8966 17815.5360
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7993.8832 8030.5325 4.287308 2000-2010 –> 2011-2019 8.681689 17755.2128 17829.8521
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 11078.9044 11117.8468 4.278363 1982-1999 –> 2000-2010 8.576814 23671.9937 23750.7649
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 11079.3526 11112.7318 4.281083 1982-1999 –> 2000-2010 8.616144 23707.5202 23775.0383
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 11041.0553 11079.9977 4.236530 1982-1999 –> 2000-2010 8.554283 23653.7324 23732.5036
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 11024.9923 11063.9347 4.218900 1982-1999 –> 2000-2010 8.549680 23650.8401 23729.6113
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11041.5152 11080.4576 4.237036 1982-1999 –> 2000-2010 8.609579 23709.3217 23788.0929
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11027.9940 11066.9364 4.222189 1982-1999 –> 2000-2010 8.576469 23677.5015 23756.2727
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 11075.0238 11113.9662 4.274055 1982-1999 –> 2000-2010 8.584777 23680.5765 23759.3477
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 11075.4762 11108.8554 4.276777 1982-1999 –> 2000-2010 8.622025 23713.9056 23781.4237
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 11077.4655 11116.4079 4.276765 1982-1999 –> 2000-2010 8.604339 23700.0764 23778.8476
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11080.7828 11119.7252 4.280449 1982-1999 –> 2000-2010 8.617658 23713.1158 23791.8870
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 9540.7965 9578.7948 4.101544 2000-2010 –> 2011-2019 8.379907 20619.7008 20696.6416
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 9635.5973 9673.5956 4.218703 2000-2010 –> 2011-2019 8.455233 20676.6526 20753.5933
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 9632.7334 9670.7318 4.215115 2000-2010 –> 2011-2019 8.434015 20657.7257 20734.6664
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9642.4129 9680.4112 4.227254 2000-2010 –> 2011-2019 8.464289 20683.9280 20760.8688
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9632.3560 9670.3543 4.214642 2000-2010 –> 2011-2019 8.436832 20660.3499 20737.2907
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 9542.1854 9580.1838 4.103237 2000-2010 –> 2011-2019 8.377291 20617.2092 20694.1500
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 9582.0456 9620.0440 4.152116 2000-2010 –> 2011-2019 8.452259 20680.5101 20757.4508
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 9630.8842 9663.4542 4.215304 2000-2010 –> 2011-2019 8.492081 20706.3604 20772.3096
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 9631.9897 9669.9880 4.214184 2000-2010 –> 2011-2019 8.490949 20709.4552 20786.3959
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 9548.1734 9586.1718 4.110543 2000-2010 –> 2011-2019 8.390992 20628.9562 20705.8969
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 7334.9758 7371.2042 3.981827 1982-1999 –> 2000-2010 8.271951 13358.2567 13429.1476
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 7335.7408 7366.7937 3.986041 1982-1999 –> 2000-2010 8.304278 13370.6727 13431.4363
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 7337.4951 7373.7236 3.985667 1982-1999 –> 2000-2010 8.303697 13374.3274 13445.2182
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 7347.9786 7384.2071 4.001683 1982-1999 –> 2000-2010 8.303582 13376.9882 13447.8790
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 7337.4903 7373.7187 3.985659 1982-1999 –> 2000-2010 8.302613 13373.8012 13444.6921
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7342.3062 7378.5346 3.993009 1982-1999 –> 2000-2010 8.328677 13387.6577 13458.5485
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7338.1796 7374.4081 3.986711 1982-1999 –> 2000-2010 8.311803 13378.4271 13449.3179
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 7345.0352 7381.2637 3.997180 1982-1999 –> 2000-2010 8.325330 13386.7598 13457.6506
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7342.2302 7378.4586 3.992893 1982-1999 –> 2000-2010 8.329471 13388.0204 13458.9112
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7342.6203 7378.8487 3.993489 1982-1999 –> 2000-2010 8.323672 13385.3263 13456.2171
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 6231.7232 6266.2980 4.921062 2000-2010 –> 2011-2019 8.924660 13580.9525 13651.7557
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 6228.9337 6263.5085 4.914415 2000-2010 –> 2011-2019 8.896242 13563.9095 13634.7127
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6242.3285 6276.9033 4.946412 2000-2010 –> 2011-2019 8.932079 13579.8236 13650.6269
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6227.1299 6261.7047 4.910122 2000-2010 –> 2011-2019 8.911806 13575.1086 13645.9118
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6236.7491 6271.3239 4.933059 2000-2010 –> 2011-2019 8.926068 13579.0553 13649.8585
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6244.0920 6278.6667 4.950640 2000-2010 –> 2011-2019 8.937351 13582.2716 13653.0748
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6231.0732 6265.6480 4.919512 2000-2010 –> 2011-2019 8.916692 13576.1084 13646.9116
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6226.2686 6260.8434 4.908074 2000-2010 –> 2011-2019 8.900967 13568.4988 13639.3020
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6235.4368 6270.0116 4.929924 2000-2010 –> 2011-2019 8.927284 13580.5902 13651.3934
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6230.4064 6264.9812 4.917923 2000-2010 –> 2011-2019 8.911412 13573.0267 13643.8299
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 16337.2277 16379.1475 3.859457 1982-1999 –> 2000-2010 7.726366 28894.5562 28976.5471
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 16293.5145 16335.4343 3.830939 1982-1999 –> 2000-2010 7.741041 28901.1181 28983.1090
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 16350.4886 16386.4198 3.869464 1982-1999 –> 2000-2010 7.780713 28957.4211 29027.6991
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 16624.3837 16666.3035 4.052146 1982-1999 –> 2000-2010 7.992237 29266.5678 29348.5587
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 16665.1536 16701.0848 4.081658 1982-1999 –> 2000-2010 8.049397 29336.9861 29407.2641
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 16334.6766 16376.5964 3.857787 1982-1999 –> 2000-2010 7.779686 28955.9152 29037.9061
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16301.3411 16343.2609 3.836030 1982-1999 –> 2000-2010 7.746611 28909.4993 28991.4903
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 16460.2838 16502.2036 3.940883 1982-1999 –> 2000-2010 7.854084 29071.4740 29153.4649
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 16458.7944 16494.7257 3.941225 1982-1999 –> 2000-2010 7.986212 29217.8973 29288.1753
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16327.7988 16369.7186 3.853288 1982-1999 –> 2000-2010 7.770525 28943.6538 29025.6447
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 13584.9254 13625.2903 4.289875 2000-2010 –> 2011-2019 8.149332 29922.1531 30004.4378
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 13495.5351 13535.9000 4.209395 2000-2010 –> 2011-2019 8.040334 29789.0496 29871.3343
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 13585.6566 13620.2551 4.292358 2000-2010 –> 2011-2019 8.161821 29936.1452 30006.6750
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 13883.9274 13924.2924 4.570421 2000-2010 –> 2011-2019 8.622568 30508.3112 30590.5959
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 13896.2389 13930.8374 4.584300 2000-2010 –> 2011-2019 8.665958 30561.3924 30631.9222
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 13536.3023 13576.6672 4.245909 2000-2010 –> 2011-2019 8.103697 29870.9789 29953.2636
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13508.2150 13548.5799 4.220718 2000-2010 –> 2011-2019 8.056748 29809.5561 29891.8408
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 13521.9337 13562.2986 4.233004 2000-2010 –> 2011-2019 8.173887 29982.2174 30064.5022
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 13534.3297 13568.9282 4.245934 2000-2010 –> 2011-2019 8.187159 29993.1242 30063.6539
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13536.0475 13576.4124 4.245680 2000-2010 –> 2011-2019 8.098968 29863.8463 29946.1310
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18162.5936 18205.0416 4.205570 1982-1999 –> 2000-2010 8.195275 35715.6151 35800.4024
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 17789.1558 17831.6038 3.965596 1982-1999 –> 2000-2010 7.797695 35089.9492 35174.7365
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 17850.1721 17892.6201 4.003848 1982-1999 –> 2000-2010 7.840169 35157.8567 35242.6440
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 17848.3223 17884.7063 4.003943 1982-1999 –> 2000-2010 7.840314 35154.0893 35226.7641
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 17886.4129 17928.8610 4.026743 1982-1999 –> 2000-2010 7.911273 35272.2497 35357.0370
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 17941.1504 17977.5345 4.062849 1982-1999 –> 2000-2010 7.947619 35325.3729 35398.0478
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 18060.9704 18103.4185 4.138863 1982-1999 –> 2000-2010 8.170125 35678.8369 35763.6242
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 17909.0742 17951.5222 4.041125 1982-1999 –> 2000-2010 7.905555 35262.4447 35347.2320
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17846.8744 17889.3225 4.001771 1982-1999 –> 2000-2010 7.837624 35153.7944 35238.5818
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17882.9884 17925.4364 4.024574 1982-1999 –> 2000-2010 7.875985 35215.2406 35300.0279
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 13394.7850 13434.7595 4.847917 2000-2010 –> 2011-2019 8.813513 31183.9407 31266.3634
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 13395.0461 13435.0206 4.848201 2000-2010 –> 2011-2019 8.852049 31245.2182 31327.6408
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 13423.4135 13457.6775 4.881294 2000-2010 –> 2011-2019 8.885237 31271.7358 31342.3838
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 13533.6307 13573.6052 5.001073 2000-2010 –> 2011-2019 9.027816 31420.0436 31502.4662
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 13580.4243 13614.6882 5.056037 2000-2010 –> 2011-2019 9.118886 31521.5747 31592.2227
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13422.6920 13462.6666 4.878319 2000-2010 –> 2011-2019 9.017183 31483.6624 31566.0851
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 13481.2542 13521.2287 4.942738 2000-2010 –> 2011-2019 8.983863 31390.3284 31472.7510
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13414.9303 13454.9048 4.869844 2000-2010 –> 2011-2019 8.871616 31261.8047 31344.2273
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 13481.2469 13521.2215 4.942730 2000-2010 –> 2011-2019 9.251220 31797.5137 31879.9363
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13467.0277 13507.0022 4.927011 2000-2010 –> 2011-2019 8.951585 31350.0160 31432.4387
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 13599.7391 13640.2305 4.087323 1982-1999 –> 2000-2010 7.814394 25427.0428 25507.2792
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13394.0384 13434.5297 3.916073 1982-1999 –> 2000-2010 7.546418 25107.7487 25187.9850
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 13599.8553 13634.5622 4.089123 1982-1999 –> 2000-2010 7.821646 25431.4739 25500.2479
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13523.8755 13564.3669 4.023311 1982-1999 –> 2000-2010 7.755493 25357.1011 25437.3374
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 13605.7518 13646.2431 4.092440 1982-1999 –> 2000-2010 7.812326 25424.7202 25504.9566
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13567.6030 13608.0943 4.060084 1982-1999 –> 2000-2010 7.789544 25397.6761 25477.9125
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13569.8193 13610.3107 4.061956 1982-1999 –> 2000-2010 7.792352 25400.9750 25481.2113
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 13554.9409 13595.4322 4.049401 1982-1999 –> 2000-2010 7.801177 25410.7861 25491.0224
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 13553.4525 13588.1593 4.049832 1982-1999 –> 2000-2010 7.807842 25414.4693 25483.2433
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13395.6364 13436.1277 3.917376 1982-1999 –> 2000-2010 7.660919 25241.9922 25322.2285
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 10059.3105 10097.2838 4.835988 2000-2010 –> 2011-2019 8.929415 23666.2211 23744.6858
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 10097.1215 10135.0948 4.890815 2000-2010 –> 2011-2019 8.996245 23718.1052 23796.5698
Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 10088.8259 10126.7992 4.878733 2000-2010 –> 2011-2019 8.969258 23692.3289 23770.7935
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 9885.8490 9923.8223 4.592239 2000-2010 –> 2011-2019 8.508312 23279.8874 23358.3520
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10062.1179 10100.0912 4.840038 2000-2010 –> 2011-2019 8.863348 23585.9935 23664.4581
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10091.4080 10129.3813 4.882490 2000-2010 –> 2011-2019 8.942574 23659.0110 23737.4756
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10127.2848 10165.2581 4.934997 2000-2010 –> 2011-2019 8.996954 23697.1041 23775.5688
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 9970.7270 10008.7003 4.709935 2000-2010 –> 2011-2019 8.759336 23525.6679 23604.1325
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 9981.4731 10014.0217 4.727868 2000-2010 –> 2011-2019 8.777700 23534.9256 23602.1810
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 9795.9238 9833.8971 4.470751 2000-2010 –> 2011-2019 8.388126 23191.5602 23270.0249
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10330.1445 10368.7633 3.998367 1982-1999 –> 2000-2010 7.239676 18082.1837 18157.9530
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 10284.7001 10323.3190 3.949268 1982-1999 –> 2000-2010 7.189316 18035.5786 18111.3479
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 10328.6195 10361.7214 3.998883 1982-1999 –> 2000-2010 7.241767 18080.1073 18145.0523
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10297.0379 10335.6568 3.962538 1982-1999 –> 2000-2010 7.204691 18049.8529 18125.6222
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 10327.6211 10366.2399 3.995624 1982-1999 –> 2000-2010 7.238096 18080.7293 18156.4986
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10301.5818 10340.2006 3.967436 1982-1999 –> 2000-2010 7.208535 18053.4272 18129.1964
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 10328.1774 10361.2793 3.998403 1982-1999 –> 2000-2010 7.241633 18079.9840 18144.9291
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10304.9579 10343.5767 3.971080 1982-1999 –> 2000-2010 7.213166 18057.7117 18133.4809
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 10320.5589 10353.6608 3.990129 1982-1999 –> 2000-2010 7.232286 18071.3779 18136.3230
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 10282.4678 10321.0867 3.946872 1982-1999 –> 2000-2010 7.236679 18078.7944 18154.5637
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6586.8666 6622.0329 4.515600 2000-2010 –> 2011-2019 8.464868 16871.5667 16945.3519
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6586.7214 6621.8878 4.515308 2000-2010 –> 2011-2019 8.477846 16883.7594 16957.5445
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6622.9393 6658.1056 4.588710 2000-2010 –> 2011-2019 8.556147 16924.5211 16998.3062
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6600.9253 6636.0916 4.543954 2000-2010 –> 2011-2019 8.515034 16905.8832 16979.6684
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6604.7316 6639.8979 4.551661 2000-2010 –> 2011-2019 8.538706 16924.4470 16998.2321
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6588.1712 6623.3375 4.518224 2000-2010 –> 2011-2019 8.509534 16911.8187 16985.6038
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6541.2783 6576.4447 4.424869 2000-2010 –> 2011-2019 8.371740 16823.7462 16897.5313
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 6591.7661 6621.9086 4.529493 2000-2010 –> 2011-2019 8.521260 16913.8343 16977.0788
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6605.3271 6640.4934 4.552868 2000-2010 –> 2011-2019 8.550304 16934.6154 17008.4005
Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6604.7951 6634.9376 4.555845 2000-2010 –> 2011-2019 8.555786 16934.3877 16997.6321
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4918.4310 4952.0789 3.646214 1982-1999 –> 2000-2010 7.061905 7727.9992 7791.5307
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 4917.1696 4946.0106 3.647703 1982-1999 –> 2000-2010 7.070294 7726.8688 7781.3244
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4915.6130 4949.2608 3.640535 1982-1999 –> 2000-2010 7.063041 7727.2859 7790.8174
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 4914.5533 4948.2011 3.638402 1982-1999 –> 2000-2010 7.060981 7726.2490 7789.7805
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4927.9207 4961.5685 3.665402 1982-1999 –> 2000-2010 7.097418 7742.5240 7806.0555
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4916.7100 4950.3578 3.642744 1982-1999 –> 2000-2010 7.092926 7736.8879 7800.4194
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4917.5277 4951.1755 3.644392 1982-1999 –> 2000-2010 7.094629 7737.7224 7801.2538
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate + phosphate_star 4915.2535 4944.0945 3.643840 1982-1999 –> 2000-2010 7.098759 7734.8806 7789.3361
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 4915.6321 4944.4731 3.644603 1982-1999 –> 2000-2010 7.101010 7735.7137 7790.1693
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4914.4446 4948.0924 3.638183 1982-1999 –> 2000-2010 7.093102 7736.0714 7799.6029
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 2334.5648 2363.1083 3.463431 2000-2010 –> 2011-2019 7.101832 7249.1181 7311.3094
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2308.9709 2337.5144 3.363254 2000-2010 –> 2011-2019 7.039058 7242.0153 7304.2066
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2322.5095 2351.0530 3.415879 2000-2010 –> 2011-2019 7.081280 7250.4302 7312.6215
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2344.8870 2373.4305 3.504672 2000-2010 –> 2011-2019 7.149064 7262.4147 7324.6060
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2331.4349 2359.9784 3.451021 2000-2010 –> 2011-2019 7.137746 7269.8427 7332.0340
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 2348.4359 2372.9017 3.527045 2000-2010 –> 2011-2019 7.171648 7264.0679 7317.3748
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2331.6254 2360.1689 3.451776 2000-2010 –> 2011-2019 7.089958 7246.0700 7308.2613
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 2333.3468 2357.8126 3.466538 2000-2010 –> 2011-2019 7.153366 7269.8055 7323.1123
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2337.0773 2365.6208 3.473424 2000-2010 –> 2011-2019 7.148280 7269.6551 7331.8464
Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2340.2535 2364.7194 3.494104 2000-2010 –> 2011-2019 7.169556 7271.1246 7324.4314
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 10750.1547 10789.6355 3.195897 1982-1999 –> 2000-2010 6.037790 16237.8492 16312.4212
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 10755.2490 10789.0898 3.201352 1982-1999 –> 2000-2010 6.054436 16249.6765 16313.5953
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 10757.2462 10796.7270 3.201350 1982-1999 –> 2000-2010 6.053806 16253.1843 16327.7563
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10790.0423 10829.5231 3.226688 1982-1999 –> 2000-2010 6.061429 16272.1382 16346.7101
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10731.3487 10770.8295 3.181482 1982-1999 –> 2000-2010 6.060807 16248.1191 16322.6910
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 10728.7370 10768.2179 3.179486 1982-1999 –> 2000-2010 6.023418 16218.0259 16292.5979
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10731.0986 10770.5795 3.181291 1982-1999 –> 2000-2010 6.053994 16242.7529 16317.3248
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 10744.1035 10783.5844 3.191252 1982-1999 –> 2000-2010 6.060164 16252.8239 16327.3959
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 10748.0965 10781.9373 3.195853 1982-1999 –> 2000-2010 6.073061 16261.2329 16325.1517
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10750.0516 10789.5325 3.195818 1982-1999 –> 2000-2010 6.052061 16248.9378 16323.5097
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5149.7745 5183.9300 3.397095 2000-2010 –> 2011-2019 6.592993 15899.9291 15973.5655
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5110.9188 5145.0742 3.329870 2000-2010 –> 2011-2019 6.600185 15956.8299 16030.4663
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 5148.0960 5177.3721 3.397657 2000-2010 –> 2011-2019 6.599009 15903.3450 15966.4619
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5107.7700 5141.9255 3.324481 2000-2010 –> 2011-2019 6.525831 15865.0161 15938.6525
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 5136.1313 5170.2868 3.373338 2000-2010 –> 2011-2019 6.568755 15885.6616 15959.2980
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5140.2175 5169.4936 3.383915 2000-2010 –> 2011-2019 6.585412 15895.6541 15958.7710
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5149.0059 5183.1614 3.395753 2000-2010 –> 2011-2019 6.575238 15877.7429 15951.3793
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 5111.0241 5145.1796 3.330051 2000-2010 –> 2011-2019 6.564791 15911.4345 15985.0709
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5101.6502 5135.8057 3.314032 2000-2010 –> 2011-2019 6.495323 15832.7488 15906.3852
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5096.3574 5130.5129 3.305021 2000-2010 –> 2011-2019 6.500839 15846.4090 15920.0453
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 22961.4289 23004.6813 6.046591 1982-1999 –> 2000-2010 14.236288 31977.1892 32056.5130
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 23304.7553 23348.0077 6.344873 1982-1999 –> 2000-2010 14.597031 32339.9356 32419.2593
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 23126.3147 23163.3882 6.189788 1982-1999 –> 2000-2010 14.387600 32142.6063 32210.5981
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 22976.8754 23020.1278 6.059705 1982-1999 –> 2000-2010 14.104247 31946.9264 32026.2502
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 22986.7044 23029.9568 6.068064 1982-1999 –> 2000-2010 14.106606 31954.8483 32034.1721
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 23125.4654 23168.7178 6.187315 1982-1999 –> 2000-2010 14.316187 32122.1714 32201.4952
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 23409.4149 23452.6673 6.438695 1982-1999 –> 2000-2010 14.547965 32399.9501 32479.2739
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 23448.2206 23491.4730 6.473833 1982-1999 –> 2000-2010 14.569690 32434.5241 32513.8479
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 23036.5127 23079.7651 6.110602 1982-1999 –> 2000-2010 14.137054 32000.8094 32080.1332
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 23464.3603 23507.6128 6.488504 1982-1999 –> 2000-2010 14.582292 32450.0108 32529.3346
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 22455.5956 22499.3096 4.607565 2000-2010 –> 2011-2019 10.654156 45417.0244 45503.9909
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 23646.0865 23689.8005 5.387137 2000-2010 –> 2011-2019 11.732009 46950.8417 47037.8082
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 22954.8055 22992.2746 4.920990 2000-2010 –> 2011-2019 11.110778 46081.1201 46155.6628
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 22846.8547 22890.5687 4.850457 2000-2010 –> 2011-2019 10.910161 45823.7300 45910.6965
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 22875.9744 22919.6884 4.869038 2000-2010 –> 2011-2019 10.937102 45862.6787 45949.6452
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 22949.6472 22993.3612 4.916367 2000-2010 –> 2011-2019 11.103682 46075.1126 46162.0790
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 23959.1150 24002.8290 5.613169 2000-2010 –> 2011-2019 12.051864 47368.5299 47455.4963
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 24048.5769 24092.2909 5.679493 2000-2010 –> 2011-2019 12.153327 47496.7975 47583.7639
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 23070.0181 23113.7321 4.994687 2000-2010 –> 2011-2019 11.105290 46106.5308 46193.4972
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 23714.4483 23758.1623 5.435710 2000-2010 –> 2011-2019 12.123788 47394.8082 47481.7746
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16278.6346 16320.0190 4.758499 1982-1999 –> 2000-2010 11.733905 26316.1177 26394.6525
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 16326.3244 16367.7088 4.800244 1982-1999 –> 2000-2010 11.733395 26345.6887 26424.2235
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 16214.9873 16256.3717 4.703351 1982-1999 –> 2000-2010 11.693842 26258.9124 26337.4472
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16229.3888 16270.7732 4.715773 1982-1999 –> 2000-2010 11.726174 26281.7950 26360.3298
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 16352.8769 16394.2613 4.823645 1982-1999 –> 2000-2010 11.807644 26394.0318 26472.5666
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16390.2402 16431.6246 4.856766 1982-1999 –> 2000-2010 11.868495 26443.2113 26521.7462
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16234.4699 16275.8543 4.720164 1982-1999 –> 2000-2010 11.734573 26288.5805 26367.1153
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 16377.6840 16419.0684 4.845610 1982-1999 –> 2000-2010 11.859460 26431.5570 26510.0918
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16391.9135 16433.2979 4.858255 1982-1999 –> 2000-2010 11.871070 26445.3464 26523.8812
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 16408.2533 16443.7256 4.874601 1982-1999 –> 2000-2010 11.897042 26463.7768 26531.0923
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 10825.9734 10864.8940 4.041757 2000-2010 –> 2011-2019 8.800256 27104.6080 27184.9130
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 10782.4235 10821.3441 3.996178 2000-2010 –> 2011-2019 8.796422 27108.7479 27189.0529
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10896.5545 10935.4751 4.116734 2000-2010 –> 2011-2019 8.820085 27111.5418 27191.8468
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10931.9794 10970.9000 4.154887 2000-2010 –> 2011-2019 8.870660 27161.3682 27241.6732
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 10877.6390 10916.5596 4.096505 2000-2010 –> 2011-2019 8.920149 27230.5160 27310.8209
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10923.6380 10962.5585 4.145872 2000-2010 –> 2011-2019 9.002638 27313.8782 27394.1832
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 10939.5339 10978.4544 4.163069 2000-2010 –> 2011-2019 8.883233 27174.0038 27254.3088
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10895.0448 10933.9654 4.115115 2000-2010 –> 2011-2019 8.960726 27272.7288 27353.0338
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10924.4452 10963.3658 4.146743 2000-2010 –> 2011-2019 9.004998 27316.3587 27396.6637
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 10924.3283 10957.6888 4.148777 2000-2010 –> 2011-2019 9.023378 27332.5816 27401.4144
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 18108.2897 18144.1120 5.515598 1982-1999 –> 2000-2010 10.847566 28109.5779 28177.7228
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 18101.5040 18143.2967 5.507232 1982-1999 –> 2000-2010 10.833499 28101.3368 28180.8392
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 17622.8233 17664.6161 5.070097 1982-1999 –> 2000-2010 10.085528 27428.4323 27507.9347
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18041.2827 18083.0754 5.450229 1982-1999 –> 2000-2010 10.866399 28095.1800 28174.6824
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17727.2908 17769.0836 5.162438 1982-1999 –> 2000-2010 10.260131 27585.4478 27664.9502
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17792.6666 17834.4594 5.221078 1982-1999 –> 2000-2010 10.365647 27680.3893 27759.8917
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17802.8631 17844.6559 5.230284 1982-1999 –> 2000-2010 10.386866 27698.1195 27777.6219
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 17916.4183 17952.2407 5.335754 1982-1999 –> 2000-2010 10.782319 27986.3916 28054.5365
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17828.4324 17870.2251 5.253441 1982-1999 –> 2000-2010 10.697963 27899.1943 27978.6967
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18072.9574 18114.7502 5.480137 1982-1999 –> 2000-2010 10.798293 28067.8681 28147.3705
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 10253.8653 10291.9668 4.848552 2000-2010 –> 2011-2019 10.355784 28355.3692 28435.2636
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 10212.3644 10250.4660 4.790004 2000-2010 –> 2011-2019 9.860100 27835.1877 27915.0820
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 10291.1466 10329.2481 4.901758 2000-2010 –> 2011-2019 10.351987 28332.4293 28412.3236
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10232.1991 10270.3007 4.817897 2000-2010 –> 2011-2019 9.980335 27959.4900 28039.3843
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10252.9895 10291.0910 4.847309 2000-2010 –> 2011-2019 10.068387 28045.6561 28125.5504
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 10317.0223 10355.1239 4.939029 2000-2010 –> 2011-2019 10.436552 28408.3139 28488.2083
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 10254.9756 10293.0772 4.850128 2000-2010 –> 2011-2019 10.080412 28057.8388 28137.7331
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 10272.5625 10305.2209 4.878018 2000-2010 –> 2011-2019 10.213772 28188.9808 28257.4616
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10249.7820 10287.8836 4.842760 2000-2010 –> 2011-2019 10.096201 28078.2144 28158.1087
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10287.1328 10325.2343 4.896001 2000-2010 –> 2011-2019 10.434333 28421.2301 28501.1244
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 26548.6370 26586.9418 5.015004 1982-1999 –> 2000-2010 10.446224 43951.6992 44025.6175
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 26479.5872 26524.2760 4.974466 1982-1999 –> 2000-2010 10.364884 43842.4958 43928.7337
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 26440.5342 26485.2230 4.952323 1982-1999 –> 2000-2010 10.379156 43841.0792 43927.3171
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26675.5767 26720.2655 5.087093 1982-1999 –> 2000-2010 10.567073 44130.6004 44216.8383
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 26391.0780 26435.7668 4.924424 1982-1999 –> 2000-2010 10.313134 43752.2156 43838.4535
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 26609.1855 26653.8743 5.048658 1982-1999 –> 2000-2010 10.471774 44005.9003 44092.1382
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 26728.1053 26772.7941 5.117710 1982-1999 –> 2000-2010 10.576339 44161.3073 44247.5453
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 26622.6444 26667.3332 5.056426 1982-1999 –> 2000-2010 10.582280 44124.2683 44210.5062
Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 26730.7658 26775.4547 5.119265 1982-1999 –> 2000-2010 10.582158 44168.3320 44254.5699
Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 26729.3465 26767.6512 5.119605 1982-1999 –> 2000-2010 10.604272 44187.1487 44261.0669
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 16483.1695 16518.8641 4.428586 2000-2010 –> 2011-2019 9.443590 43031.8066 43105.8058
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 16463.8316 16505.4752 4.411940 2000-2010 –> 2011-2019 9.386406 42943.4188 43029.7512
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16428.4950 16470.1386 4.384510 2000-2010 –> 2011-2019 9.336833 42869.0292 42955.3617
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 16551.9213 16593.5650 4.481069 2000-2010 –> 2011-2019 9.614471 43306.8286 43393.1611
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 16694.8478 16736.4915 4.595543 2000-2010 –> 2011-2019 9.679548 43365.1100 43451.4424
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 16688.9743 16730.6180 4.590781 2000-2010 –> 2011-2019 9.677874 43364.5510 43450.8835
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 16585.8757 16621.5703 4.509594 2000-2010 –> 2011-2019 9.670673 43385.8521 43459.8513
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 16461.5367 16503.1803 4.410153 2000-2010 –> 2011-2019 9.334577 42852.6147 42938.9472
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 16579.5856 16621.2292 4.503001 2000-2010 –> 2011-2019 9.551659 43188.7711 43275.1036
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 16699.4864 16741.1301 4.599306 2000-2010 –> 2011-2019 9.655732 43322.1308 43408.4633
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 35670.0603 35716.8357 4.974370 1982-1999 –> 2000-2010 10.608943 57341.3366 57431.1146
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 35309.5480 35356.3234 4.824617 1982-1999 –> 2000-2010 10.444095 56962.3681 57052.1461
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 35308.5742 35348.6674 4.825037 1982-1999 –> 2000-2010 10.591578 57137.1300 57214.0826
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 35284.8459 35331.6213 4.814522 1982-1999 –> 2000-2010 10.566343 57097.8167 57187.5946
Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 35474.6985 35521.4739 4.892651 1982-1999 –> 2000-2010 10.628761 57268.8515 57358.6295
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 35231.4757 35278.2511 4.792785 1982-1999 –> 2000-2010 10.404049 56874.2321 56964.0100
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 35310.1065 35356.8819 4.824845 1982-1999 –> 2000-2010 10.586820 57135.2123 57224.9903
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 35510.4214 35557.1968 4.907493 1982-1999 –> 2000-2010 10.603724 57256.5760 57346.3539
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 35303.9350 35350.7104 4.822321 1982-1999 –> 2000-2010 10.455265 56973.2222 57063.0002
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 35173.8071 35220.5825 4.769407 1982-1999 –> 2000-2010 10.379146 56814.6937 56904.4717
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 21818.7859 21862.5476 4.156484 2000-2010 –> 2011-2019 9.086054 57382.1476 57472.6846
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 21829.0519 21872.8135 4.162052 2000-2010 –> 2011-2019 8.986669 57138.5999 57229.1369
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 21852.8010 21890.3110 4.176052 2000-2010 –> 2011-2019 9.001088 57161.3753 57238.9784
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 21748.6218 21792.3835 4.118624 2000-2010 –> 2011-2019 8.933147 57033.4678 57124.0048
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 21776.6548 21820.4164 4.133709 2000-2010 –> 2011-2019 8.926494 57008.1305 57098.6675
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 21790.9111 21834.6728 4.141401 2000-2010 –> 2011-2019 8.966247 57101.0177 57191.5547
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21857.3829 21901.1445 4.177458 2000-2010 –> 2011-2019 9.057590 57301.8644 57392.4014
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21848.5346 21892.2962 4.172640 2000-2010 –> 2011-2019 9.042079 57267.1450 57357.6820
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 21760.3106 21804.0722 4.124907 2000-2010 –> 2011-2019 8.947228 57064.2456 57154.7827
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 21709.3642 21753.1258 4.097592 2000-2010 –> 2011-2019 8.866999 56883.1712 56973.7083
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 35490.2196 35530.4724 4.527821 1982-1999 –> 2000-2010 9.529209 57859.7438 57937.2786
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 35268.1904 35315.1520 4.444842 1982-1999 –> 2000-2010 9.430180 57615.9867 57706.4439
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 35417.7023 35457.9552 4.500793 1982-1999 –> 2000-2010 9.570596 57887.5221 57965.0568
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 35268.3069 35315.2685 4.444885 1982-1999 –> 2000-2010 9.442561 57634.3501 57724.8073
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 34790.6996 34837.6612 4.273022 1982-1999 –> 2000-2010 9.340352 57258.9176 57349.3748
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 34993.4022 35040.3639 4.345136 1982-1999 –> 2000-2010 9.110538 57008.1285 57098.5857
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 34882.2957 34929.2573 4.305459 1982-1999 –> 2000-2010 9.598910 57672.7848 57763.2420
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 34769.1797 34816.1414 4.265437 1982-1999 –> 2000-2010 9.020252 56767.4865 56857.9437
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 35103.4606 35143.7134 4.385523 1982-1999 –> 2000-2010 9.177101 57156.6244 57234.1591
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 34416.6766 34463.6382 4.143086 1982-1999 –> 2000-2010 8.865441 56364.4154 56454.8726
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 23672.7042 23717.5543 3.394415 2000-2010 –> 2011-2019 7.742852 58675.3055 58767.1172
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 23788.8206 23827.2635 3.439468 2000-2010 –> 2011-2019 7.791026 58798.1111 58876.8068
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 23606.4332 23651.2833 3.369396 2000-2010 –> 2011-2019 7.642418 58397.1328 58488.9445
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 23817.3716 23862.2217 3.449678 2000-2010 –> 2011-2019 7.900315 59101.3422 59193.1539
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 23620.9549 23665.8050 3.374862 2000-2010 –> 2011-2019 7.680321 58503.2506 58595.0623
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 23643.5537 23688.4038 3.383387 2000-2010 –> 2011-2019 7.737249 58661.2558 58753.0675
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 23742.7748 23787.6249 3.421070 2000-2010 –> 2011-2019 7.771864 58751.9371 58843.7488
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 23640.0614 23684.9115 3.382068 2000-2010 –> 2011-2019 7.726709 58632.0839 58723.8956
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 24377.2710 24422.1211 3.672173 2000-2010 –> 2011-2019 7.937610 59146.4508 59238.2625
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 24127.5050 24172.3551 3.571200 2000-2010 –> 2011-2019 7.714286 58544.1816 58635.9933
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 37411.4844 37452.4245 3.798735 1982-1999 –> 2000-2010 8.395065 60782.7417 60861.3964
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 37329.1664 37376.9299 3.775225 1982-1999 –> 2000-2010 8.364257 60689.8157 60781.5795
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 37424.9994 37465.9396 3.802517 1982-1999 –> 2000-2010 8.395891 60791.1534 60869.8082
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 37160.4366 37208.2001 3.728615 1982-1999 –> 2000-2010 8.316642 60519.3477 60611.1115
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 37439.2685 37480.2086 3.806513 1982-1999 –> 2000-2010 8.399806 60805.2797 60883.9345
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 36877.1435 36924.9070 3.651649 1982-1999 –> 2000-2010 8.237501 60232.2915 60324.0553
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 37407.1093 37454.8727 3.796952 1982-1999 –> 2000-2010 8.167875 60381.4132 60473.1770
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 37370.5001 37418.2636 3.786732 1982-1999 –> 2000-2010 8.157635 60344.7676 60436.5315
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 37545.1263 37586.0664 3.836297 1982-1999 –> 2000-2010 8.207287 60517.5503 60596.2051
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 37323.2376 37371.0010 3.773577 1982-1999 –> 2000-2010 8.117956 60249.2110 60340.9749
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 26426.9090 26472.6156 3.287086 2000-2010 –> 2011-2019 7.251045 64418.6502 64512.1203
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 26781.3598 26820.5369 3.404881 2000-2010 –> 2011-2019 7.374287 64789.7531 64869.8703
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26569.2213 26614.9279 3.333619 2000-2010 –> 2011-2019 6.985268 63446.3647 63539.8348
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 27497.7682 27543.4748 3.653830 2000-2010 –> 2011-2019 7.439450 64864.2829 64957.7530
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 27347.5437 27393.2503 3.600013 2000-2010 –> 2011-2019 7.396965 64754.6530 64848.1231
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 26503.2206 26548.9272 3.311957 2000-2010 –> 2011-2019 6.988743 63473.5369 63567.0070
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26421.4788 26467.1854 3.285324 2000-2010 –> 2011-2019 6.994600 63511.2864 63604.7564
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26564.3461 26610.0527 3.332014 2000-2010 –> 2011-2019 7.022177 63583.9871 63677.4572
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26431.6349 26477.3415 3.288621 2000-2010 –> 2011-2019 6.996176 63515.1393 63608.6094
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 26668.9420 26708.1191 3.367282 2000-2010 –> 2011-2019 7.090629 63808.1753 63888.2925
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 17704.3157 17747.2774 3.213514 1982-1999 –> 2000-2010 7.240497 28156.2970 28237.9420
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 17703.3629 17740.1873 3.214006 1982-1999 –> 2000-2010 7.253794 28165.1283 28235.1097
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 17758.2469 17801.2087 3.238951 1982-1999 –> 2000-2010 7.240365 28186.5833 28268.2284
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 17705.0336 17747.9954 3.213851 1982-1999 –> 2000-2010 7.242544 28158.5899 28240.2349
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17749.1350 17792.0968 3.234639 1982-1999 –> 2000-2010 7.270347 28209.1493 28290.7943
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 17758.7886 17801.7503 3.239208 1982-1999 –> 2000-2010 7.266514 28211.0673 28292.7123
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 17685.1866 17728.1484 3.204539 1982-1999 –> 2000-2010 7.257858 28161.3640 28243.0090
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 17753.4811 17796.4429 3.236695 1982-1999 –> 2000-2010 7.252665 28195.2959 28276.9409
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 17683.3143 17726.2760 3.203662 1982-1999 –> 2000-2010 7.262376 28164.4294 28246.0744
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 17684.1423 17727.1040 3.204050 1982-1999 –> 2000-2010 7.238697 28143.1807 28224.8257
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 13946.1878 13987.4271 3.274557 2000-2010 –> 2011-2019 6.479096 31631.3744 31715.5755
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13890.0732 13931.3125 3.240378 2000-2010 –> 2011-2019 6.444047 31573.4036 31657.6047
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13872.8989 13914.1382 3.229989 2000-2010 –> 2011-2019 6.445734 31581.9640 31666.1650
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13889.6845 13930.9238 3.240142 2000-2010 –> 2011-2019 6.443882 31573.1654 31657.3665
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 13888.2407 13923.5886 3.240479 2000-2010 –> 2011-2019 6.473591 31632.1442 31704.3166
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13909.2389 13950.4782 3.252011 2000-2010 –> 2011-2019 6.455673 31592.5532 31676.7543
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 13865.8640 13907.1033 3.225743 2000-2010 –> 2011-2019 6.428552 31547.3576 31631.5587
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13835.6430 13876.8823 3.207566 2000-2010 –> 2011-2019 6.411615 31519.7852 31603.9863
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 13873.1643 13914.4036 3.230149 2000-2010 –> 2011-2019 6.433072 31554.9012 31639.1022
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 13911.7260 13947.0740 3.254741 2000-2010 –> 2011-2019 6.472033 31622.0796 31694.2519
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 23458.7128 23497.4778 2.891195 1982-1999 –> 2000-2010 6.933172 38123.4718 38197.4210
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 23388.5950 23433.8208 2.869220 1982-1999 –> 2000-2010 6.910043 38053.8680 38140.1421
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 23426.0533 23471.2792 2.880613 1982-1999 –> 2000-2010 6.915152 38083.2274 38169.5015
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 23454.0281 23499.2540 2.889152 1982-1999 –> 2000-2010 6.937623 38129.1422 38215.4162
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate 23490.5449 23529.3099 2.900949 1982-1999 –> 2000-2010 6.957221 38173.6762 38247.6254
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 23460.2389 23505.4647 2.891051 1982-1999 –> 2000-2010 6.933002 38126.9655 38213.2396
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 23381.0773 23426.3032 2.866939 1982-1999 –> 2000-2010 6.922452 38065.2358 38151.5099
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 23405.0802 23450.3060 2.874229 1982-1999 –> 2000-2010 6.946856 38111.1530 38197.4271
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 23376.6622 23421.8880 2.865600 1982-1999 –> 2000-2010 6.961046 38111.8115 38198.0856
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 23408.7498 23453.9757 2.875345 1982-1999 –> 2000-2010 6.949573 38116.8679 38203.1420
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 20084.9753 20128.9190 3.099919 2000-2010 –> 2011-2019 5.969139 43473.5703 43562.7398
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 20098.7765 20142.7201 3.105360 2000-2010 –> 2011-2019 5.971894 43478.5189 43567.6884
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20078.1636 20122.1072 3.097237 2000-2010 –> 2011-2019 5.971313 43482.7418 43571.9113
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20066.6977 20110.6414 3.092728 2000-2010 –> 2011-2019 5.979143 43511.7676 43600.9372
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20078.2442 20122.1879 3.097269 2000-2010 –> 2011-2019 5.972495 43486.6038 43575.7733
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 20057.0137 20100.9574 3.088925 2000-2010 –> 2011-2019 5.955864 43438.0911 43527.2606
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 20049.8487 20093.7924 3.086114 2000-2010 –> 2011-2019 5.960342 43454.9289 43544.0984
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 20132.3381 20170.0041 3.119424 2000-2010 –> 2011-2019 5.986365 43511.4238 43587.8548
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 20126.7301 20170.6737 3.116410 2000-2010 –> 2011-2019 5.982010 43503.3922 43592.5618
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 20050.0225 20093.9662 3.086182 2000-2010 –> 2011-2019 5.961527 43458.7723 43547.9418
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 40311.3322 40353.3896 2.840684 1982-1999 –> 2000-2010 6.738397 68761.4222 68842.7204
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 40262.4033 40311.4703 2.831855 1982-1999 –> 2000-2010 6.711073 68665.8242 68760.6720
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 40280.2050 40322.2624 2.835285 1982-1999 –> 2000-2010 6.762495 68807.4383 68888.7365
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 40312.9605 40362.0275 2.840619 1982-1999 –> 2000-2010 6.717811 68711.0367 68805.8846
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 40314.5711 40356.6285 2.841246 1982-1999 –> 2000-2010 6.739890 68767.1035 68848.4017
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 40223.2178 40272.2848 2.825081 1982-1999 –> 2000-2010 6.723270 68676.5558 68771.4037
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 40314.1488 40363.2158 2.840825 1982-1999 –> 2000-2010 6.727381 68736.9066 68831.7545
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 40312.6635 40361.7305 2.840568 1982-1999 –> 2000-2010 6.735407 68757.2060 68852.0539
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 40315.0642 40357.1216 2.841332 1982-1999 –> 2000-2010 6.782980 68879.8455 68961.1437
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 40278.5337 40327.6007 2.834649 1982-1999 –> 2000-2010 6.740287 68751.4084 68846.2563
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 34259.8936 34300.7519 3.118200 2000-2010 –> 2011-2019 5.958884 74571.2258 74654.1415
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 34224.2058 34271.8738 3.109441 2000-2010 –> 2011-2019 5.941296 74486.6091 74583.3441
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 34375.4048 34416.2630 3.145200 2000-2010 –> 2011-2019 5.980485 74655.6098 74738.5255
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 34261.7734 34309.4414 3.118172 2000-2010 –> 2011-2019 5.958791 74574.7340 74671.4690
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 34250.4602 34298.1282 3.115540 2000-2010 –> 2011-2019 5.940622 74473.6779 74570.4129
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 34236.4965 34284.1645 3.112295 2000-2010 –> 2011-2019 5.952792 74548.7558 74645.4908
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 34278.1438 34325.8118 3.121984 2000-2010 –> 2011-2019 5.981323 74698.5775 74795.3124
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 34258.1893 34305.8573 3.117338 2000-2010 –> 2011-2019 5.957906 74570.8527 74667.5877
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 34225.1108 34272.7788 3.109651 2000-2010 –> 2011-2019 5.952092 74548.5601 74645.2951
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 34376.7606 34424.4286 3.145049 2000-2010 –> 2011-2019 5.979697 74655.2943 74752.0292
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 29524.9390 29571.9639 2.706447 1982-1999 –> 2000-2010 6.684016 49102.6083 49192.7449
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 29541.7982 29582.1053 2.710627 1982-1999 –> 2000-2010 6.701221 49140.3144 49217.5743
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 29470.2120 29517.2370 2.694355 1982-1999 –> 2000-2010 6.662013 49030.4473 49120.5839
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 29476.1827 29516.4898 2.696113 1982-1999 –> 2000-2010 6.663828 49034.5186 49111.7785
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 29448.5325 29495.5575 2.689580 1982-1999 –> 2000-2010 6.646498 48989.8265 49079.9631
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 29454.1074 29501.1323 2.690808 1982-1999 –> 2000-2010 6.648125 48996.1075 49086.2440
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 29412.0778 29459.1027 2.681570 1982-1999 –> 2000-2010 6.652237 48977.6122 49067.7487
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 29454.8249 29501.8498 2.690965 1982-1999 –> 2000-2010 6.681217 49054.7411 49144.8776
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 29476.0879 29516.3950 2.696092 1982-1999 –> 2000-2010 6.694802 49088.8009 49166.0608
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 29455.3638 29502.3887 2.691084 1982-1999 –> 2000-2010 6.680235 49053.3526 49143.4891
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 35192.7171 35233.8588 2.961631 2000-2010 –> 2011-2019 5.668078 64715.6570 64797.1058
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 35173.8549 35221.8535 2.957235 2000-2010 –> 2011-2019 5.663683 64698.7939 64793.8175
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 35030.5646 35078.5632 2.927221 2000-2010 –> 2011-2019 5.621576 64500.7766 64595.8002
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 34976.0727 35024.0713 2.915886 2000-2010 –> 2011-2019 5.652040 64634.4312 64729.4547
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 35211.3124 35252.4541 2.965555 2000-2010 –> 2011-2019 5.661668 64687.4951 64768.9439
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 35125.9547 35173.9533 2.947168 2000-2010 –> 2011-2019 5.636748 64574.4873 64669.5108
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 35089.3057 35137.3044 2.939488 2000-2010 –> 2011-2019 5.630296 64543.4131 64638.4366
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 35115.2984 35163.2970 2.944933 2000-2010 –> 2011-2019 5.626503 64527.3761 64622.3997
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 35176.3869 35224.3855 2.957769 2000-2010 –> 2011-2019 5.665762 64708.3082 64803.3317
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 35193.8707 35241.8693 2.961453 2000-2010 –> 2011-2019 5.652418 64648.6956 64743.7191
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 39943.1941 39991.9568 3.095167 1982-1999 –> 2000-2010 7.022166 79975.8427 80072.7588
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 40345.3847 40387.1813 3.176063 1982-1999 –> 2000-2010 7.118553 80432.5698 80515.6408
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 41401.9773 41450.7400 3.397228 1982-1999 –> 2000-2010 7.369553 81599.4258 81696.3419
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 40246.0015 40294.7642 3.155575 1982-1999 –> 2000-2010 7.094079 80320.6587 80417.5747
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 41607.2888 41656.0515 3.442043 1982-1999 –> 2000-2010 7.303353 81397.6997 81494.6158
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate 41672.9863 41714.7829 3.456949 1982-1999 –> 2000-2010 7.328579 81499.7234 81582.7943
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 41468.4418 41517.2045 3.411671 1982-1999 –> 2000-2010 7.279663 81283.6817 81380.5978
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 41094.0597 41142.8224 3.331107 1982-1999 –> 2000-2010 7.190571 80877.6059 80974.5220
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 40145.4433 40194.2060 3.135385 1982-1999 –> 2000-2010 7.001291 79952.9361 80049.8522
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 41556.4978 41605.2605 3.430902 1982-1999 –> 2000-2010 7.354405 81576.3583 81673.2744
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 32015.7104 32063.3196 2.690536 2000-2010 –> 2011-2019 5.785703 71958.9044 72055.2764
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 32351.2854 32392.0933 2.759774 2000-2010 –> 2011-2019 5.935837 72696.6701 72779.2746
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 31722.2050 31769.8143 2.631750 2000-2010 –> 2011-2019 6.028978 73124.1824 73220.5543
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 31878.5023 31926.1116 2.662893 2000-2010 –> 2011-2019 6.130084 73599.8301 73696.2021
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 31786.8244 31827.6323 2.644980 2000-2010 –> 2011-2019 6.151227 73681.6383 73764.2429
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 31737.2943 31784.9035 2.634741 2000-2010 –> 2011-2019 5.790317 71983.2958 72079.6677
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 31873.3300 31920.9392 2.661857 2000-2010 –> 2011-2019 6.103900 73480.6188 73576.9907
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 31645.2256 31692.8348 2.616546 2000-2010 –> 2011-2019 6.122316 73539.9053 73636.2773
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 32611.5835 32659.1927 2.813953 2000-2010 –> 2011-2019 6.145060 73705.6432 73802.0151
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 31974.4244 32022.0337 2.682189 2000-2010 –> 2011-2019 5.817573 72119.8677 72216.2396

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
e4ca289 jens-daniel-mueller 2020-12-16
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
ba112d3 jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
7c25f7a jens-daniel-mueller 2020-12-02
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
rm(max_rmse)

7.2.2 Best models

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

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

Version Author Date
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
a84ff3c jens-daniel-mueller 2020-12-17 
rm(max_rmse)

7.3 Predictor counts

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

# calculate cases of predictor used
lm_all_stats <- lm_best_cant %>% 
  pivot_longer(starts_with("delta_coeff_"),
               names_to = "term",
               names_prefix = "delta_coeff_",
               values_to = "delta_coeff") %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(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 --> 2000-2010
(-Inf,26] 8 10 7 7 5 5 8
(26,26.5] 10 8 9 7 4 4 6
(26.5,26.75] 7 3 8 9 7 4 10
(26.75,27] 7 4 7 9 7 5 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 5 8 6 7 10 6
(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] 9 3 10 5 5 5 10
(28.2, Inf] 7 4 8 9 10 3 7
total 100.00 61.00 105.00 110.00 99.00 86.00 112.00
Atlantic - 2000-2010 --> 2011-2019
(-Inf,26] 7 10 8 8 4 4 8
(26,26.5] 9 10 8 7 3 4 7
(26.5,26.75] 7 6 7 8 6 6 10
(26.75,27] 5 3 6 9 6 9 10
(27,27.25] 6 7 6 9 5 7 10
(27.25,27.5] 8 10 9 7 4 3 7
(27.5,27.75] 8 4 8 7 4 10 8
(27.75,27.85] 7 6 8 8 5 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] 7 4 7 10 7 7 7
(28.1,28.15] 6 4 6 10 4 8 10
(28.15,28.2] 7 3 7 7 3 10 10
(28.2, Inf] 7 3 9 8 10 7 4
total 95.00 76.00 103.00 113.00 81.00 104.00 107.00
Indo-Pacific - 1982-1999 --> 2000-2010
(-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] 7 9 7 9 2 7 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 4 10 10 4 4 4
(27.75,27.85] 10 5 10 7 5 6 6
(27.85,27.95] 9 9 9 7 2 5 7
(27.95,28.05] 10 4 10 10 4 4 4
(28.05,28.1] 10 3 10 9 5 5 5
(28.1, Inf] 9 7 10 7 3 6 6
total 104.00 70.00 104.00 98.00 63.00 64.00 71.00
Indo-Pacific - 2000-2010 --> 2011-2019
(-Inf,26] 9 7 6 6 9 4 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 8 7 7 8 5 7
(26.75,27] 9 8 9 7 4 4 7
(27,27.25] 9 3 9 7 8 7 6
(27.25,27.5] 7 4 8 7 8 9 6
(27.5,27.75] 7 3 6 7 10 8 7
(27.75,27.85] 5 5 5 8 5 10 10
(27.85,27.95] 7 5 7 7 4 10 9
(27.95,28.05] 9 6 9 8 4 7 5
(28.05,28.1] 9 5 10 8 7 5 4
(28.1, Inf] 10 5 10 7 6 6 4
total 94.00 64.00 92.00 87.00 83.00 81.00 81.00

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 
lm_best_eras %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17

7.5 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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24 
GLODAP_augmented_best %>%
  ggplot(aes(cstar_tref, .fitted)) +
  geom_bin2d(binwidth = i_binwidth) +
  scale_fill_viridis_c() +
  geom_abline(slope = 1,
              col = 'red') +
  coord_equal(xlim = axis_lims,
              ylim = axis_lims) +
  labs(title = "Selected models")

Version Author Date
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24 
rm(binwidth_value, axis_lims)

7.5.2 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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

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

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

Version Author Date
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

7.5.3 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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24
071743d jens-daniel-mueller 2021-02-24 

[[2]]

Version Author Date
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24

8 VIF

GLODAP_glanced_vif_max %>% 
  ggplot(aes(as.factor(n), log10(vif_max))) + 
  geom_hline(yintercept = 1) +
  geom_violin() +
  facet_grid(gamma_slab~era)

GLODAP_glanced_vif %>% 
  ggplot(aes(Variables, log10(VIF))) + 
  geom_hline(yintercept = 1) +
  geom_violin() +
  facet_grid(gamma_slab~era)


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