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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

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

# prepare nested data frame

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

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

# expand with model definitions

GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all
)

# fit models and extract tidy model output

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

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

5 Tidy models

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

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

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

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

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

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


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

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

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

6 Prepare coeffcients

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

6.1 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

# calculate RMSE sum for adjacent eras
lm_all_eras <- GLODAP_glanced  %>%
  select(basin, gamma_slab, model, era, AIC, rmse) %>% 
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> "),
         rmse_sum = rmse + lag(rmse),
         aic_sum = AIC + lag(AIC)
         ) %>% 
  ungroup() %>% 
  select(-c(era)) %>% 
  drop_na()

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

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


# print table
lm_best_eras %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model AIC rmse eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 438.0854 5.004027 1982-1999 –> 2000-2012 10.997195 1010.5486
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 430.6608 4.745563 1982-1999 –> 2000-2012 10.546499 997.4515
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 433.4384 4.840656 1982-1999 –> 2000-2012 10.622611 999.6588
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 433.7306 4.850769 1982-1999 –> 2000-2012 10.629404 999.8511
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 435.4621 4.911136 1982-1999 –> 2000-2012 10.681741 1001.3406
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 438.7683 5.028494 1982-1999 –> 2000-2012 10.814824 1005.1203
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 437.6413 4.988178 1982-1999 –> 2000-2012 10.931135 1008.6406
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 437.5607 4.985308 1982-1999 –> 2000-2012 10.908203 1007.9716
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 436.9955 5.036662 1982-1999 –> 2000-2012 11.059966 1008.3315
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 437.4059 4.979797 1982-1999 –> 2000-2012 10.866680 1006.7556
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 264.8034 2.467771 2000-2012 –> 2013-2019 7.471798 702.8888
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 263.7707 2.444286 2000-2012 –> 2013-2019 7.189849 694.4315
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 263.7465 2.443738 2000-2012 –> 2013-2019 7.284394 697.1849
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 263.7516 2.443853 2000-2012 –> 2013-2019 7.294621 697.4822
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 263.7655 2.444167 2000-2012 –> 2013-2019 7.355303 699.2276
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 264.4908 2.460638 2000-2012 –> 2013-2019 7.489133 703.2591
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate_star 262.7366 2.466246 2000-2012 –> 2013-2019 7.494777 699.5059
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 264.6962 2.465323 2000-2012 –> 2013-2019 7.453501 702.3375
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 264.6081 2.463311 2000-2012 –> 2013-2019 7.448620 702.1688
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 264.4925 2.460677 2000-2012 –> 2013-2019 7.440474 701.8984
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4642.6401 5.216245 1982-1999 –> 2000-2012 10.096461 7808.9746
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4644.6330 5.216220 1982-1999 –> 2000-2012 10.073669 7808.0575
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4641.9917 5.207092 1982-1999 –> 2000-2012 10.082173 7809.2208
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4682.3125 5.348197 1982-1999 –> 2000-2012 10.246605 7854.5539
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4702.7322 5.421108 1982-1999 –> 2000-2012 10.346650 7880.7736
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4700.7288 5.413911 1982-1999 –> 2000-2012 10.211363 7851.1033
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4680.5695 5.349108 1982-1999 –> 2000-2012 10.247624 7850.8340
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4629.1846 5.163056 1982-1999 –> 2000-2012 9.971305 7781.9196
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4680.6412 5.342272 1982-1999 –> 2000-2012 10.219510 7848.3345
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4699.7630 5.410445 1982-1999 –> 2000-2012 10.314910 7873.3018
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 711.1223 2.938581 2000-2012 –> 2013-2019 8.154825 5353.7624
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 712.6200 2.933314 2000-2012 –> 2013-2019 8.149534 5357.2530
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 712.7803 2.934994 2000-2012 –> 2013-2019 8.142086 5354.7720
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 712.5692 2.932782 2000-2012 –> 2013-2019 8.280978 5394.8817
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 712.6575 2.933706 2000-2012 –> 2013-2019 8.354815 5415.3896
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 710.8118 2.935324 2000-2012 –> 2013-2019 8.284433 5391.3814
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 712.8071 2.935275 2000-2012 –> 2013-2019 8.098332 5341.9918
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 710.8439 2.935660 2000-2012 –> 2013-2019 8.356772 5411.5769
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 712.5068 2.932129 2000-2012 –> 2013-2019 8.274401 5393.1480
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 712.6199 2.933313 2000-2012 –> 2013-2019 8.343758 5412.3829
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6884.6532 5.226827 1982-1999 –> 2000-2012 9.203486 11170.5081
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6893.8228 5.248306 1982-1999 –> 2000-2012 9.046062 11109.4333
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6882.1452 5.220968 1982-1999 –> 2000-2012 9.186613 11163.7678
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6888.4786 5.235777 1982-1999 –> 2000-2012 9.163483 11155.4315
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6885.3149 5.228374 1982-1999 –> 2000-2012 9.195327 11167.4405
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 6892.3167 5.249465 1982-1999 –> 2000-2012 9.218961 11173.4200
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6889.8246 5.238930 1982-1999 –> 2000-2012 9.156843 11152.9683
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6902.7676 5.269343 1982-1999 –> 2000-2012 9.099264 11131.2482
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 6901.2356 5.270446 1982-1999 –> 2000-2012 9.120962 11135.9000
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6895.7687 5.252875 1982-1999 –> 2000-2012 9.088901 11126.6796
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 742.4267 3.145410 2000-2012 –> 2013-2019 8.403343 7640.3474
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 742.7777 3.149300 2000-2012 –> 2013-2019 8.387714 7632.3825
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 744.3377 3.166647 2000-2012 –> 2013-2019 8.393474 7628.9909
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 740.2960 3.121900 2000-2012 –> 2013-2019 8.370205 7634.1188
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 743.5742 3.158145 2000-2012 –> 2013-2019 8.379112 7625.7194
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 744.1193 3.164212 2000-2012 –> 2013-2019 8.392586 7629.4342
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 738.8201 3.105718 2000-2012 –> 2013-2019 8.375061 7641.5877
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 742.3607 3.144678 2000-2012 –> 2013-2019 8.397863 7638.2611
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 739.0514 3.130215 2000-2012 –> 2013-2019 8.400661 7640.2871
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 740.1362 3.120144 2000-2012 –> 2013-2019 8.373019 7635.9049
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8059.9760 5.342361 1982-1999 –> 2000-2012 9.832846 13477.6397
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 8086.9944 5.398166 1982-1999 –> 2000-2012 9.876722 13499.7368
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8059.5399 5.341464 1982-1999 –> 2000-2012 9.813981 13469.7860
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8061.5668 5.345630 1982-1999 –> 2000-2012 9.797409 13463.2151
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8058.7009 5.339741 1982-1999 –> 2000-2012 9.812951 13469.2338
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 8069.5988 5.362170 1982-1999 –> 2000-2012 9.837737 13481.1064
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 8090.0444 5.404502 1982-1999 –> 2000-2012 9.870420 13497.5588
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 8047.8071 5.317415 1982-1999 –> 2000-2012 9.834317 13476.3221
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 8090.9098 5.406301 1982-1999 –> 2000-2012 9.872085 13498.3687
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 8089.1558 5.406813 1982-1999 –> 2000-2012 9.884821 13499.6718
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 1530.1553 3.698619 2000-2012 –> 2013-2019 9.096785 9617.1497
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1530.3716 3.700058 2000-2012 –> 2013-2019 9.041523 9589.9115
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1532.9071 3.716969 2000-2012 –> 2013-2019 9.062600 9594.4738
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1530.4432 3.700534 2000-2012 –> 2013-2019 9.040276 9589.1440
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1532.4144 3.713677 2000-2012 –> 2013-2019 9.118180 9622.4587
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1532.1990 3.712239 2000-2012 –> 2013-2019 9.029654 9580.0061
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 1530.4894 3.714179 2000-2012 –> 2013-2019 9.123978 9621.0810
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1532.4660 3.714022 2000-2012 –> 2013-2019 9.120324 9623.3757
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 1531.4068 3.720312 2000-2012 –> 2013-2019 9.127125 9620.5626
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 1530.5559 3.714622 2000-2012 –> 2013-2019 9.123255 9620.5865
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 15031.9376 5.311642 1982-1999 –> 2000-2012 10.740472 28770.1790
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 14999.7978 5.276645 1982-1999 –> 2000-2012 10.605041 28655.6524
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14940.3906 5.212564 1982-1999 –> 2000-2012 10.505464 28566.7556
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14976.1386 5.251031 1982-1999 –> 2000-2012 10.516691 28579.7388
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14945.4789 5.218022 1982-1999 –> 2000-2012 10.509301 28570.4922
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 14994.2726 5.270652 1982-1999 –> 2000-2012 10.715988 28745.9081
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14997.5409 5.274197 1982-1999 –> 2000-2012 10.633899 28679.2422
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 14966.2557 5.240368 1982-1999 –> 2000-2012 10.655040 28692.9757
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 15023.7327 5.304867 1982-1999 –> 2000-2012 10.737535 28763.0918
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 15010.9023 5.288711 1982-1999 –> 2000-2012 10.654632 28697.7195
Atlantic (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3182.3642 4.648874 2000-2012 –> 2013-2019 10.119134 18357.3665
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3219.2737 4.811725 2000-2012 –> 2013-2019 10.088370 18219.0715
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3224.9950 4.837474 2000-2012 –> 2013-2019 10.050038 18165.3856
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3220.9256 4.819145 2000-2012 –> 2013-2019 10.070176 18197.0642
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3225.1036 4.837964 2000-2012 –> 2013-2019 10.055986 18170.5825
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3213.1008 4.784097 2000-2012 –> 2013-2019 10.054749 18207.3734
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3183.8217 4.655199 2000-2012 –> 2013-2019 10.008171 18253.4448
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3189.8172 4.681308 2000-2012 –> 2013-2019 9.955504 18187.3581
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3233.9271 4.877949 2000-2012 –> 2013-2019 10.118317 18200.1829
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3186.8033 4.668165 2000-2012 –> 2013-2019 9.956876 18197.7056
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16968.3971 4.342241 1982-1999 –> 2000-2012 8.923384 31163.3539
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 16886.1227 4.281825 1982-1999 –> 2000-2012 8.855311 31073.0135
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16855.1072 4.259269 1982-1999 –> 2000-2012 8.870085 31081.1972
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 16915.0199 4.304415 1982-1999 –> 2000-2012 8.973974 31200.1560
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 16897.7374 4.290303 1982-1999 –> 2000-2012 8.955129 31179.9832
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 16913.7799 4.302040 1982-1999 –> 2000-2012 8.969668 31198.9208
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16898.2470 4.290675 1982-1999 –> 2000-2012 8.989681 31215.6949
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16860.2857 4.263026 1982-1999 –> 2000-2012 8.855233 31066.8741
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 16896.6135 4.290943 1982-1999 –> 2000-2012 8.985593 31207.5898
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16897.8599 4.290392 1982-1999 –> 2000-2012 8.980790 31206.4666
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2942.6816 3.577637 2000-2012 –> 2013-2019 8.006717 20025.3508
Atlantic (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2940.8391 3.565024 2000-2012 –> 2013-2019 7.983559 20011.5107
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2940.0365 3.562396 2000-2012 –> 2013-2019 7.904637 19908.4336
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2942.4388 3.570270 2000-2012 –> 2013-2019 7.852095 19828.5615
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2952.8867 3.604720 2000-2012 –> 2013-2019 7.863988 19807.9938
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2946.1893 3.582599 2000-2012 –> 2013-2019 7.845625 19806.4751
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate 2947.8296 3.594605 2000-2012 –> 2013-2019 8.007323 20008.7663
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2941.6876 3.567806 2000-2012 –> 2013-2019 7.979281 20002.9705
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2948.1160 3.588948 2000-2012 –> 2013-2019 7.985065 19988.9196
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2956.7590 3.617573 2000-2012 –> 2013-2019 8.005632 19986.7916
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 19562.8476 4.358149 1982-1999 –> 2000-2012 8.710540 33088.9152
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 19574.6135 4.367031 1982-1999 –> 2000-2012 8.760255 33142.3463
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 19524.4460 4.333469 1982-1999 –> 2000-2012 8.696552 33061.9866
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 19511.4920 4.325176 1982-1999 –> 2000-2012 8.704793 33066.7196
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19546.3423 4.347525 1982-1999 –> 2000-2012 8.773308 33150.6024
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19520.7767 4.331119 1982-1999 –> 2000-2012 8.737390 33104.3759
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 19561.0871 4.357015 1982-1999 –> 2000-2012 8.722204 33100.8848
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 19574.4122 4.366901 1982-1999 –> 2000-2012 8.771728 33154.4790
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19575.2827 4.366171 1982-1999 –> 2000-2012 8.748521 33133.4267
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 19573.6937 4.365145 1982-1999 –> 2000-2012 8.758479 33143.5434
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3675.4665 4.208556 2000-2012 –> 2013-2019 8.566705 23238.3140
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3679.2441 4.220975 2000-2012 –> 2013-2019 8.698757 23425.2083
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3722.8603 4.367052 2000-2012 –> 2013-2019 8.700522 23247.3062
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3720.1045 4.357675 2000-2012 –> 2013-2019 8.682851 23231.5965
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3708.5494 4.318574 2000-2012 –> 2013-2019 8.666099 23254.8918
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3713.0869 4.333886 2000-2012 –> 2013-2019 8.665005 23233.8635
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3674.1182 4.204132 2000-2012 –> 2013-2019 8.561147 23235.2053
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3683.0043 4.233374 2000-2012 –> 2013-2019 8.620753 23291.0523
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3711.5876 4.328821 2000-2012 –> 2013-2019 8.694992 23286.8703
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3674.7194 4.206104 2000-2012 –> 2013-2019 8.571250 23248.4131
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 12208.9209 4.092668 1982-1999 –> 2000-2012 8.473501 18600.3037
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12182.9531 4.068095 1982-1999 –> 2000-2012 8.423255 18561.3933
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 12230.7445 4.115342 1982-1999 –> 2000-2012 8.492206 18618.1310
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 12231.9997 4.114632 1982-1999 –> 2000-2012 8.491292 18621.2838
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 12183.1679 4.068298 1982-1999 –> 2000-2012 8.445231 18572.5894
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 12232.3066 4.114925 1982-1999 –> 2000-2012 8.491650 18621.6237
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12231.2948 4.113959 1982-1999 –> 2000-2012 8.500660 18625.6249
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12202.5730 4.086647 1982-1999 –> 2000-2012 8.469948 18595.1957
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 12189.5718 4.074344 1982-1999 –> 2000-2012 8.471558 18589.1729
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 12197.8041 4.082130 1982-1999 –> 2000-2012 8.470114 18592.7781
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2499.0765 6.311143 2000-2012 –> 2013-2019 10.403811 14707.9975
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2498.8718 6.309447 2000-2012 –> 2013-2019 10.377542 14681.8248
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2497.1884 6.295524 2000-2012 –> 2013-2019 10.410155 14729.1881
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2497.8123 6.300681 2000-2012 –> 2013-2019 10.368979 14680.9802
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2495.0481 6.277866 2000-2012 –> 2013-2019 10.393675 14728.2813
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2499.0314 6.310769 2000-2012 –> 2013-2019 10.397417 14701.6044
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2495.6602 6.282911 2000-2012 –> 2013-2019 10.357255 14685.2320
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2493.1452 6.262208 2000-2012 –> 2013-2019 10.388329 14737.1685
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2493.7794 6.283893 2000-2012 –> 2013-2019 10.410024 14735.8125
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2498.4635 6.306068 2000-2012 –> 2013-2019 10.388198 14696.2676
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 24713.0965 3.972950 1982-1999 –> 2000-2012 7.845377 37681.7118
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 24581.1093 3.913979 1982-1999 –> 2000-2012 7.826486 37597.8319
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 24714.4644 3.974466 1982-1999 –> 2000-2012 7.887367 37729.6574
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 25197.6457 4.197164 1982-1999 –> 2000-2012 8.132450 38241.4895
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 25230.4636 4.213754 1982-1999 –> 2000-2012 8.177261 38305.6926
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 24667.8111 3.952617 1982-1999 –> 2000-2012 7.874854 37696.1370
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 24602.3815 3.923424 1982-1999 –> 2000-2012 7.836125 37619.3352
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 24820.2860 4.021494 1982-1999 –> 2000-2012 7.954814 37861.7948
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 24823.3447 4.023800 1982-1999 –> 2000-2012 8.093773 38022.4146
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 24654.9365 3.946856 1982-1999 –> 2000-2012 7.864799 37678.1459
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6660.0469 4.498236 2000-2012 –> 2013-2019 8.471186 31373.1434
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6635.9432 4.450808 2000-2012 –> 2013-2019 8.364787 31217.0526
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 6660.6342 4.503357 2000-2012 –> 2013-2019 8.477824 31375.0986
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6776.4138 4.734415 2000-2012 –> 2013-2019 8.931579 31974.0595
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6780.6889 4.747498 2000-2012 –> 2013-2019 8.961252 32011.1525
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 6646.7994 4.472107 2000-2012 –> 2013-2019 8.424725 31314.6104
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6639.6492 4.458068 2000-2012 –> 2013-2019 8.381492 31242.0308
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 6642.7852 4.464220 2000-2012 –> 2013-2019 8.485715 31463.0712
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 6660.9521 4.503987 2000-2012 –> 2013-2019 8.527787 31484.2968
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6648.0388 4.474546 2000-2012 –> 2013-2019 8.421401 31302.9753
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 27246.7524 4.401150 1982-1999 –> 2000-2012 8.353234 44824.2781
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 26581.0695 4.099882 1982-1999 –> 2000-2012 7.905346 43920.8775
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26671.4084 4.139524 1982-1999 –> 2000-2012 7.948782 44017.4806
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 26673.4402 4.141303 1982-1999 –> 2000-2012 7.950617 44017.6058
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 26769.3200 4.182923 1982-1999 –> 2000-2012 8.034096 44184.2053
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 26865.7265 4.227000 1982-1999 –> 2000-2012 8.078204 44278.6620
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26973.7207 4.274995 1982-1999 –> 2000-2012 8.284351 44641.7158
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 26777.3583 4.186506 1982-1999 –> 2000-2012 8.021955 44166.5164
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26675.4388 4.141302 1982-1999 –> 2000-2012 7.949318 44019.4620
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26736.0256 4.168115 1982-1999 –> 2000-2012 7.990737 44104.1208
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6261.2507 4.933969 2000-2012 –> 2013-2019 9.033851 32842.3202
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6286.2706 4.993910 2000-2012 –> 2013-2019 9.133434 32957.6790
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 6289.2307 5.005879 2000-2012 –> 2013-2019 9.147181 32962.6709
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6311.8811 5.056019 2000-2012 –> 2013-2019 9.238942 33081.2011
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6340.8011 5.132034 2000-2012 –> 2013-2019 9.359034 33206.5276
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6260.5587 4.932322 2000-2012 –> 2013-2019 9.207317 33234.2794
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 6318.9844 5.073382 2000-2012 –> 2013-2019 9.259888 33096.3428
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6291.0314 5.005397 2000-2012 –> 2013-2019 9.146699 32966.4702
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 6288.0872 4.998290 2000-2012 –> 2013-2019 9.426296 33591.9520
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6315.0861 5.063846 2000-2012 –> 2013-2019 9.231960 33051.1116
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20467.3376 4.391967 1982-1999 –> 2000-2012 8.090105 32348.2325
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 20050.5587 4.140058 1982-1999 –> 2000-2012 7.746704 31822.4296
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 20469.1235 4.394324 1982-1999 –> 2000-2012 8.097656 32354.1257
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20302.7661 4.290715 1982-1999 –> 2000-2012 7.993775 32189.4486
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20475.8819 4.397288 1982-1999 –> 2000-2012 8.088428 32348.5324
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20388.4486 4.343136 1982-1999 –> 2000-2012 8.043621 32272.1038
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20399.5212 4.349957 1982-1999 –> 2000-2012 8.051240 32284.1154
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 20238.0902 4.251566 1982-1999 –> 2000-2012 7.976344 32150.2228
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 20236.0988 4.251571 1982-1999 –> 2000-2012 7.982399 32153.2938
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19914.4275 4.060950 1982-1999 –> 2000-2012 7.777806 31817.2936
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4504.4798 4.810151 2000-2012 –> 2013-2019 9.202117 24971.8174
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4385.6735 4.444332 2000-2012 –> 2013-2019 8.584391 24436.2322
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4508.6450 4.823508 2000-2012 –> 2013-2019 9.114224 24811.4111
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4505.8748 4.814621 2000-2012 –> 2013-2019 9.211909 24981.7567
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 4503.9572 4.814885 2000-2012 –> 2013-2019 9.212208 24977.8948
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4505.5258 4.813502 2000-2012 –> 2013-2019 9.156638 24893.9744
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4518.2078 4.854316 2000-2012 –> 2013-2019 9.204273 24917.7290
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4381.2859 4.431369 2000-2012 –> 2013-2019 8.682935 24619.3761
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 4392.8178 4.471472 2000-2012 –> 2013-2019 8.723044 24628.9165
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4379.7525 4.426847 2000-2012 –> 2013-2019 8.487797 24294.1800
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14584.0184 4.105758 1982-1999 –> 2000-2012 7.339964 22329.5153
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 14515.8695 4.051743 1982-1999 –> 2000-2012 7.284336 22259.8784
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 14582.0323 4.105769 1982-1999 –> 2000-2012 7.341687 22327.1075
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14523.1251 4.057460 1982-1999 –> 2000-2012 7.292454 22269.3487
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14581.7406 4.103941 1982-1999 –> 2000-2012 7.339407 22328.3989
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14540.1668 4.070919 1982-1999 –> 2000-2012 7.304575 22285.1564
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 14580.8022 4.104788 1982-1999 –> 2000-2012 7.341059 22326.2029
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14536.6561 4.068143 1982-1999 –> 2000-2012 7.303011 22282.7630
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 14564.1046 4.091490 1982-1999 –> 2000-2012 7.326520 22308.3611
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 14508.1525 4.045672 1982-1999 –> 2000-2012 7.327825 22297.5328
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2725.5289 4.552227 2000-2012 –> 2013-2019 8.603971 17241.3984
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2739.3209 4.620685 2000-2012 –> 2013-2019 8.678145 17262.4460
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2740.3767 4.625968 2000-2012 –> 2013-2019 8.696887 17280.5436
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2740.1183 4.624674 2000-2012 –> 2013-2019 8.692817 17276.7743
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 2738.5039 4.626604 2000-2012 –> 2013-2019 8.718094 17302.6084
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2725.5254 4.552210 2000-2012 –> 2013-2019 8.658868 17310.6724
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2739.8918 4.623541 2000-2012 –> 2013-2019 8.717433 17309.0166
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 2723.5294 4.552230 2000-2012 –> 2013-2019 8.659428 17307.3529
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2725.0409 4.549823 2000-2012 –> 2013-2019 8.595495 17233.1933
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 2738.3685 4.625927 2000-2012 –> 2013-2019 8.719822 17305.4974
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6370.1568 3.693912 1982-1999 –> 2000-2012 7.109687 9179.7508
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 6368.4176 3.694326 1982-1999 –> 2000-2012 7.117262 9178.2234
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6369.2041 3.692404 1982-1999 –> 2000-2012 7.115200 9180.9666
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 6351.2686 3.664114 1982-1999 –> 2000-2012 7.087021 9163.0652
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6365.4173 3.686413 1982-1999 –> 2000-2012 7.122064 9181.1385
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6385.5808 3.718425 1982-1999 –> 2000-2012 7.153112 9201.0057
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6359.4818 3.677042 1982-1999 –> 2000-2012 7.109604 9174.2530
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6361.8957 3.680850 1982-1999 –> 2000-2012 7.130914 9182.0377
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 6360.4177 3.681674 1982-1999 –> 2000-2012 7.138314 9180.5706
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6361.2563 3.679841 1982-1999 –> 2000-2012 7.134867 9182.9158
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1015.1912 2.781502 2000-2012 –> 2013-2019 6.475415 7385.3480
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1015.8571 2.786024 2000-2012 –> 2013-2019 6.512187 7406.2858
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 1013.2580 2.781956 2000-2012 –> 2013-2019 6.476281 7381.6756
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1015.1012 2.780892 2000-2012 –> 2013-2019 6.473296 7384.3053
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 1014.0305 2.787202 2000-2012 –> 2013-2019 6.513884 7402.7836
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 1012.8285 2.765520 2000-2012 –> 2013-2019 6.429634 7364.0971
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1015.2607 2.781974 2000-2012 –> 2013-2019 6.468387 7380.6780
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1014.9989 2.780198 2000-2012 –> 2013-2019 6.498623 7400.5797
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 1013.1182 2.781007 2000-2012 –> 2013-2019 6.500966 7397.6607
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1013.5425 2.770340 2000-2012 –> 2013-2019 6.447382 7373.0243
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 14237.7674 3.309133 1982-1999 –> 2000-2012 6.150683 19725.1939
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 14245.1575 3.314852 1982-1999 –> 2000-2012 6.167923 19739.5745
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 14236.7928 3.308540 1982-1999 –> 2000-2012 6.160939 19732.6867
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14265.1728 3.325852 1982-1999 –> 2000-2012 6.161079 19747.6497
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 14276.7743 3.334181 1982-1999 –> 2000-2012 6.179394 19765.0635
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 14233.2950 3.306413 1982-1999 –> 2000-2012 6.151052 19723.1358
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 14275.7526 3.332329 1982-1999 –> 2000-2012 6.171560 19761.3650
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14208.0305 3.291087 1982-1999 –> 2000-2012 6.166059 19721.4397
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14228.8223 3.303694 1982-1999 –> 2000-2012 6.174403 19738.9339
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14218.4793 3.297417 1982-1999 –> 2000-2012 6.155556 19718.8404
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1718.4558 2.881953 2000-2012 –> 2013-2019 6.191086 15956.2232
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1711.9639 2.854887 2000-2012 –> 2013-2019 6.163427 15948.7567
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1712.7005 2.857945 2000-2012 –> 2013-2019 6.166032 15948.7488
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1710.8051 2.858380 2000-2012 –> 2013-2019 6.176426 15961.1998
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1718.4001 2.881720 2000-2012 –> 2013-2019 6.187026 15949.8752
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1718.3679 2.881585 2000-2012 –> 2013-2019 6.187997 15951.6630
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate_star 1716.4673 2.882001 2000-2012 –> 2013-2019 6.189885 15950.1814
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1711.9613 2.854876 2000-2012 –> 2013-2019 6.145963 15919.9919
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1719.5650 2.886603 2000-2012 –> 2013-2019 6.190297 15948.3874
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1712.7971 2.858346 2000-2012 –> 2013-2019 6.155763 15931.2764
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 29098.5378 5.933894 1982-1999 –> 2000-2012 15.145300 38291.0568
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 29578.2145 6.255433 1982-1999 –> 2000-2012 14.907791 38612.8297
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29180.2475 5.987474 1982-1999 –> 2000-2012 15.218293 38378.0760
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 29195.1503 5.997298 1982-1999 –> 2000-2012 15.239623 38396.1204
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 29761.0004 6.382493 1982-1999 –> 2000-2012 15.020543 38791.4414
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29818.6900 6.423128 1982-1999 –> 2000-2012 15.068244 38851.1931
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 29273.8134 6.049423 1982-1999 –> 2000-2012 15.304584 38478.2840
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 30131.3115 6.647874 1982-1999 –> 2000-2012 15.392961 39192.8116
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29844.6485 6.441497 1982-1999 –> 2000-2012 15.090033 38878.1492
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 30160.7857 6.669464 1982-1999 –> 2000-2012 15.657449 39291.3798
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16975.7498 4.538412 2000-2012 –> 2013-2019 10.472305 46074.2876
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18071.3307 5.484508 2000-2012 –> 2013-2019 11.739941 47649.5452
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 17400.7481 4.886008 2000-2012 –> 2013-2019 10.975858 46733.1065
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17282.2002 4.785264 2000-2012 –> 2013-2019 10.772738 46462.4477
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17307.6919 4.806394 2000-2012 –> 2013-2019 10.803691 46502.8421
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 17394.6862 4.879205 2000-2012 –> 2013-2019 10.967490 46726.7079
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 18311.7731 5.717224 2000-2012 –> 2013-2019 12.099717 48072.7734
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17470.1085 4.943224 2000-2012 –> 2013-2019 10.992646 46743.9219
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18026.9773 5.442627 2000-2012 –> 2013-2019 12.056328 48111.4418
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 17978.7005 5.397404 2000-2012 –> 2013-2019 12.066868 48139.4862
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 18561.6988 4.777731 1982-1999 –> 2000-2012 11.915896 30218.0151
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 18931.8634 5.072423 1982-1999 –> 2000-2012 12.688716 30809.2091
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18592.6817 4.801597 1982-1999 –> 2000-2012 12.140947 30344.6114
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 18507.8540 4.736537 1982-1999 –> 2000-2012 11.983398 30216.1578
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 18526.0900 4.750448 1982-1999 –> 2000-2012 12.051321 30259.9377
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 18886.9216 5.034273 1982-1999 –> 2000-2012 12.598690 30742.7559
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 18630.7628 4.831094 1982-1999 –> 2000-2012 12.315326 30449.9383
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18674.1111 4.864891 1982-1999 –> 2000-2012 12.414369 30523.1454
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 18532.1787 4.755102 1982-1999 –> 2000-2012 12.074485 30274.7365
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18675.9632 4.866340 1982-1999 –> 2000-2012 12.429931 30531.4221
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8972.2201 4.180238 2000-2012 –> 2013-2019 8.957969 27533.9189
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8893.9295 4.077428 2000-2012 –> 2013-2019 8.879025 27486.6111
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 9027.6434 4.254581 2000-2012 –> 2013-2019 8.991118 27535.4974
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 9055.1179 4.291924 2000-2012 –> 2013-2019 9.042372 27581.2079
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 8976.6296 4.186105 2000-2012 –> 2013-2019 9.017198 27607.3924
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9014.8850 4.237351 2000-2012 –> 2013-2019 9.102242 27688.9961
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9059.5659 4.298000 2000-2012 –> 2013-2019 9.053103 27591.7446
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8968.1548 4.174836 2000-2012 –> 2013-2019 9.032410 27632.9068
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9014.5147 4.236852 2000-2012 –> 2013-2019 9.103192 27690.4779
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 9013.2395 4.237829 2000-2012 –> 2013-2019 9.119006 27706.1311
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 20447.7025 5.580186 1982-1999 –> 2000-2012 11.182540 31708.5111
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 20448.5531 5.579201 1982-1999 –> 2000-2012 11.124607 31674.7845
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 19899.9214 5.128413 1982-1999 –> 2000-2012 10.353060 30912.8473
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 20348.8986 5.494472 1982-1999 –> 2000-2012 11.182074 31665.7721
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 20002.1569 5.209562 1982-1999 –> 2000-2012 10.579046 31112.9763
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20070.0699 5.264177 1982-1999 –> 2000-2012 10.716784 31235.8859
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20081.2386 5.273213 1982-1999 –> 2000-2012 10.754000 31265.5090
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 20505.4104 5.629856 1982-1999 –> 2000-2012 11.302683 31810.9714
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 20398.5747 5.536546 1982-1999 –> 2000-2012 11.113756 31645.2797
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 20497.5437 5.621333 1982-1999 –> 2000-2012 11.264468 31786.3181
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 8284.7702 4.961934 2000-2012 –> 2013-2019 10.541136 28733.3233
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8245.7146 4.891658 2000-2012 –> 2013-2019 10.020072 28145.6361
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 8367.9763 5.118777 2000-2012 –> 2013-2019 10.613940 28715.6950
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8320.3849 5.026899 2000-2012 –> 2013-2019 10.521370 28669.2836
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8266.7580 4.929399 2000-2012 –> 2013-2019 10.138961 28268.9149
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8285.0751 4.962487 2000-2012 –> 2013-2019 10.226664 28355.1450
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8367.2129 5.113613 2000-2012 –> 2013-2019 10.606611 28714.3650
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8286.0423 4.964240 2000-2012 –> 2013-2019 10.237453 28367.2809
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 8289.0267 4.973286 2000-2012 –> 2013-2019 10.352762 28498.1872
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8266.9271 4.929703 2000-2012 –> 2013-2019 10.256371 28413.8460
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 30028.2831 5.111520 1982-1999 –> 2000-2012 11.211808 48493.8390
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 29972.4271 5.081554 1982-1999 –> 2000-2012 11.126013 48387.4122
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 29888.0795 5.038181 1982-1999 –> 2000-2012 11.075964 48296.7447
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 30281.0980 5.243483 1982-1999 –> 2000-2012 11.342421 48747.3875
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 30239.0756 5.221139 1982-1999 –> 2000-2012 11.329398 48714.0979
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 30164.1437 5.181530 1982-1999 –> 2000-2012 11.317172 48664.7414
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 29856.3770 5.021975 1982-1999 –> 2000-2012 11.112743 48315.0020
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 30139.6168 5.168631 1982-1999 –> 2000-2012 11.349995 48682.6670
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 30169.2321 5.185264 1982-1999 –> 2000-2012 11.353727 48698.3358
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 30117.2446 5.156893 1982-1999 –> 2000-2012 11.224454 48554.0414
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 13516.1477 4.393787 2000-2012 –> 2013-2019 9.505307 43544.4309
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 13504.3041 4.380748 2000-2012 –> 2013-2019 9.462302 43476.7312
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 13479.6728 4.357644 2000-2012 –> 2013-2019 9.395825 43367.7523
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 13624.0351 4.494812 2000-2012 –> 2013-2019 9.715951 43863.1106
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13683.1436 4.552213 2000-2012 –> 2013-2019 9.733744 43847.2873
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 13637.2063 4.509476 2000-2012 –> 2013-2019 9.769688 43947.6474
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 13458.0004 4.337416 2000-2012 –> 2013-2019 9.359391 43314.3774
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13637.3191 4.507649 2000-2012 –> 2013-2019 9.676280 43776.9359
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 13682.1375 4.553185 2000-2012 –> 2013-2019 9.738449 43851.3696
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13684.1364 4.553184 2000-2012 –> 2013-2019 9.710077 43801.3810
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 40282.1241 5.108492 1982-1999 –> 2000-2012 11.028884 62304.6213
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 40040.0239 5.014920 1982-1999 –> 2000-2012 10.934954 62064.1044
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 40179.5261 5.068952 1982-1999 –> 2000-2012 11.089790 62317.8380
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 39963.3703 4.985891 1982-1999 –> 2000-2012 10.906196 61987.7658
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 39672.3681 4.877209 1982-1999 –> 2000-2012 10.897956 61812.5752
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 39614.1289 4.855744 1982-1999 –> 2000-2012 10.671868 61516.3065
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 39729.2500 4.898265 1982-1999 –> 2000-2012 11.079982 62051.0905
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 39648.2530 4.868310 1982-1999 –> 2000-2012 10.688872 61555.6816
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 39945.0202 4.979721 1982-1999 –> 2000-2012 10.819942 61873.6602
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 39463.8998 4.800811 1982-1999 –> 2000-2012 10.639238 61392.4253
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 18201.5235 4.171186 2000-2012 –> 2013-2019 9.157077 58164.8937
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18343.1139 4.264673 2000-2012 –> 2013-2019 9.168301 58086.8121
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 18342.4174 4.265543 2000-2012 –> 2013-2019 9.169190 58084.1667
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18177.5860 4.155585 2000-2012 –> 2013-2019 9.032794 57849.9540
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 18155.2836 4.141102 2000-2012 –> 2013-2019 8.996846 57769.4124
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 18218.0747 4.182008 2000-2012 –> 2013-2019 9.080272 57947.3247
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18276.9253 4.220713 2000-2012 –> 2013-2019 9.177476 58162.9314
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18270.8379 4.216693 2000-2012 –> 2013-2019 9.162759 58128.3171
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18195.4419 4.167217 2000-2012 –> 2013-2019 9.035526 57843.6949
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 18182.6213 4.158862 2000-2012 –> 2013-2019 8.959673 57646.5211
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 41100.3457 4.607705 1982-1999 –> 2000-2012 9.546071 63533.0883
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 40829.9993 4.518583 1982-1999 –> 2000-2012 9.455340 63262.3204
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 41051.3934 4.591558 1982-1999 –> 2000-2012 9.557473 63525.4933
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 40823.3834 4.516440 1982-1999 –> 2000-2012 9.433696 63226.2810
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 41253.2546 4.658511 1982-1999 –> 2000-2012 9.631700 63738.2345
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 40438.0298 4.393333 1982-1999 –> 2000-2012 9.339598 62884.6538
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 40532.7278 4.423272 1982-1999 –> 2000-2012 9.082626 62535.1273
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 40335.5595 4.361167 1982-1999 –> 2000-2012 9.029134 62351.6897
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 40648.7324 4.460863 1982-1999 –> 2000-2012 9.135282 62673.1279
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 39980.3448 4.251472 1982-1999 –> 2000-2012 8.903199 61970.5658
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 19733.9703 3.573606 2000-2012 –> 2013-2019 8.090046 60557.3538
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 19620.5005 3.518667 2000-2012 –> 2013-2019 7.912001 60058.5303
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 19761.0093 3.586823 2000-2012 –> 2013-2019 8.190780 60852.0067
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 19838.2762 3.624864 2000-2012 –> 2013-2019 8.048136 60371.0040
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 19662.7224 3.539010 2000-2012 –> 2013-2019 7.977695 60243.9532
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19702.5019 3.558285 2000-2012 –> 2013-2019 8.047930 60442.9131
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 19604.3992 3.510940 2000-2012 –> 2013-2019 7.961357 60222.4402
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19700.9941 3.557552 2000-2012 –> 2013-2019 8.040135 60419.4541
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 19973.8897 3.692608 2000-2012 –> 2013-2019 8.053775 60309.4492
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19843.5314 3.627466 2000-2012 –> 2013-2019 7.878938 59823.8762
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 46028.9779 4.199664 1982-1999 –> 2000-2012 8.717394 69538.5184
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 46023.0418 4.197597 1982-1999 –> 2000-2012 8.715323 69534.5744
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 45618.8337 4.093677 1982-1999 –> 2000-2012 8.595688 69102.3930
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 45905.9911 4.167753 1982-1999 –> 2000-2012 8.684371 69413.5557
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 45780.5458 4.134940 1982-1999 –> 2000-2012 8.643779 69276.2712
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 45492.9902 4.061851 1982-1999 –> 2000-2012 8.762959 69323.9519
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 45896.3334 4.164740 1982-1999 –> 2000-2012 8.448763 68981.4478
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 45960.0283 4.181225 1982-1999 –> 2000-2012 8.438617 68995.0832
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 46284.3761 4.266715 1982-1999 –> 2000-2012 8.552370 69370.5492
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 46286.3155 4.266699 1982-1999 –> 2000-2012 8.552137 69374.0833
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 26745.5867 3.632706 2000-2012 –> 2013-2019 7.694557 72238.5769
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 26558.4384 3.564460 2000-2012 –> 2013-2019 7.625198 72047.0055
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26431.4745 3.518893 2000-2012 –> 2013-2019 7.683633 72327.8079
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 26579.0645 3.572643 2000-2012 –> 2013-2019 7.779963 72637.4101
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 26723.4266 3.624557 2000-2012 –> 2013-2019 7.773037 72556.6811
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26557.0423 3.563956 2000-2012 –> 2013-2019 7.749348 72533.1320
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 26539.3385 3.557568 2000-2012 –> 2013-2019 7.620452 72036.4297
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26621.9984 3.587493 2000-2012 –> 2013-2019 7.749504 72507.7623
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 26570.0515 3.569381 2000-2012 –> 2013-2019 7.779890 72640.6129
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26551.1783 3.561839 2000-2012 –> 2013-2019 7.748460 72532.0020
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 21578.3314 3.536693 1982-1999 –> 2000-2012 7.401628 31678.3462
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 21595.2120 3.544127 1982-1999 –> 2000-2012 7.411869 31697.8706
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 21601.3409 3.546829 1982-1999 –> 2000-2012 7.412234 31701.7981
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 21519.4289 3.510878 1982-1999 –> 2000-2012 7.406141 31647.8966
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21476.5403 3.492199 1982-1999 –> 2000-2012 7.407255 31623.4564
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21460.5993 3.485282 1982-1999 –> 2000-2012 7.412046 31618.3845
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21474.3267 3.491238 1982-1999 –> 2000-2012 7.411770 31626.3303
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 21602.4259 3.547308 1982-1999 –> 2000-2012 7.400060 31690.9488
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 21508.0325 3.505905 1982-1999 –> 2000-2012 7.405329 31640.3857
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 21441.9399 3.477203 1982-1999 –> 2000-2012 7.348849 31548.2710
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 10486.0157 2.904075 2000-2012 –> 2013-2019 6.414953 32005.4446
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10470.5016 2.893403 2000-2012 –> 2013-2019 6.385603 31947.0419
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10471.7962 2.894292 2000-2012 –> 2013-2019 6.379574 31932.3955
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10470.7163 2.893551 2000-2012 –> 2013-2019 6.384789 31945.0431
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 10469.8303 2.894316 2000-2012 –> 2013-2019 6.400545 31976.6075
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10541.4067 2.942500 2000-2012 –> 2013-2019 6.432620 32013.1596
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 10535.6450 2.938480 2000-2012 –> 2013-2019 6.415682 31977.5848
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10541.9163 2.942856 2000-2012 –> 2013-2019 6.433075 32013.8976
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 10542.3572 2.944561 2000-2012 –> 2013-2019 6.434800 32012.3848
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10550.1520 2.950013 2000-2012 –> 2013-2019 6.448572 32039.3215
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 29367.9344 3.193516 1982-1999 –> 2000-2012 7.130427 43560.9134
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 29218.5659 3.151312 1982-1999 –> 2000-2012 7.087610 43412.7528
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 29321.6201 3.179984 1982-1999 –> 2000-2012 7.109084 43506.5024
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29382.3490 3.197002 1982-1999 –> 2000-2012 7.144178 43590.5655
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29239.4980 3.157115 1982-1999 –> 2000-2012 7.133832 43485.6237
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 29367.2367 3.192759 1982-1999 –> 2000-2012 7.129623 43562.1548
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 29212.7647 3.149706 1982-1999 –> 2000-2012 7.103214 43429.1317
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 29240.9736 3.157524 1982-1999 –> 2000-2012 7.129947 43481.6060
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 29241.0374 3.157542 1982-1999 –> 2000-2012 7.131645 43483.8190
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 29239.0421 3.157543 1982-1999 –> 2000-2012 7.139060 43489.2987
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 15048.0646 2.923028 2000-2012 –> 2013-2019 6.074340 44266.6304
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 14996.2710 2.898045 2000-2012 –> 2013-2019 6.056080 44239.0844
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14979.0913 2.889806 2000-2012 –> 2013-2019 6.053513 44242.3218
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14975.9219 2.888288 2000-2012 –> 2013-2019 6.045403 44215.4199
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14979.1268 2.889823 2000-2012 –> 2013-2019 6.054135 44244.5328
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 14977.1495 2.889834 2000-2012 –> 2013-2019 6.066030 44283.2084
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 15019.1903 2.909074 2000-2012 –> 2013-2019 6.058780 44231.9550
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 15012.4160 2.905810 2000-2012 –> 2013-2019 6.063334 44253.3896
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 15012.5878 2.905893 2000-2012 –> 2013-2019 6.063434 44253.6252
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 15018.3533 2.909635 2000-2012 –> 2013-2019 6.067178 44257.3954
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 48046.3725 2.974000 1982-1999 –> 2000-2012 6.801912 75913.9445
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 47937.2663 2.956792 1982-1999 –> 2000-2012 6.768656 75764.4583
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 47999.4320 2.966718 1982-1999 –> 2000-2012 6.825833 75948.9020
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 48046.6426 2.973731 1982-1999 –> 2000-2012 6.781239 75862.2981
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 48071.6560 2.977930 1982-1999 –> 2000-2012 6.806090 75939.8818
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 47918.9870 2.953970 1982-1999 –> 2000-2012 6.781991 75788.8447
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 48027.6228 2.970779 1982-1999 –> 2000-2012 6.784724 75860.3189
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 48013.6971 2.968619 1982-1999 –> 2000-2012 6.792264 75872.0182
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 48032.8552 2.971901 1982-1999 –> 2000-2012 6.841932 76010.8184
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 47996.2045 2.965908 1982-1999 –> 2000-2012 6.801504 75886.0058
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 27048.7232 3.056711 2000-2012 –> 2013-2019 6.030711 75095.0957
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 27050.1172 3.056537 2000-2012 –> 2013-2019 6.013329 74987.3835
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 27034.4729 3.052055 2000-2012 –> 2013-2019 6.025786 75081.1155
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 27049.0867 3.056242 2000-2012 –> 2013-2019 6.010211 74968.0737
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 27137.2607 3.081626 2000-2012 –> 2013-2019 6.052405 75164.8835
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 27007.9834 3.044480 2000-2012 –> 2013-2019 6.022390 75081.5124
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 27007.5136 3.044346 2000-2012 –> 2013-2019 6.047464 75242.4311
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 27031.2780 3.051140 2000-2012 –> 2013-2019 6.019759 75044.9751
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 27008.7941 3.044711 2000-2012 –> 2013-2019 6.023076 75085.2428
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 27148.1331 3.084771 2000-2012 –> 2013-2019 6.050678 75144.3376
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 38538.8730 2.929144 1982-1999 –> 2000-2012 6.771412 57441.3617
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 38532.3971 2.927537 1982-1999 –> 2000-2012 6.730622 57366.8553
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 38595.6414 2.939926 1982-1999 –> 2000-2012 6.756831 57452.8819
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 38477.9315 2.917235 1982-1999 –> 2000-2012 6.717324 57307.0063
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 38512.1093 2.924074 1982-1999 –> 2000-2012 6.724554 57339.8869
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 38424.0145 2.907072 1982-1999 –> 2000-2012 6.689178 57220.6805
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 38503.8881 2.922140 1982-1999 –> 2000-2012 6.710295 57311.4738
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 38474.8326 2.916650 1982-1999 –> 2000-2012 6.716545 57303.5583
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 38537.7907 2.928560 1982-1999 –> 2000-2012 6.755281 57414.5810
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 38588.0640 2.938105 1982-1999 –> 2000-2012 6.754511 57446.4127
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 26775.4943 2.847324 2000-2012 –> 2013-2019 5.776468 65314.3673
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 26675.5369 2.820708 2000-2012 –> 2013-2019 5.748245 65207.9340
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 26583.3993 2.796869 2000-2012 –> 2013-2019 5.714104 65061.3308
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 26602.2725 2.801736 2000-2012 –> 2013-2019 5.724302 65108.4108
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 26701.5915 2.828007 2000-2012 –> 2013-2019 5.752081 65213.7008
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 26728.4312 2.835007 2000-2012 –> 2013-2019 5.777063 65335.2614
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26696.2625 2.826098 2000-2012 –> 2013-2019 5.733171 65120.2770
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26665.3009 2.818049 2000-2012 –> 2013-2019 5.740190 65169.1890
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 26730.4299 2.835007 2000-2012 –> 2013-2019 5.751657 65205.2624
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 26744.7300 2.838744 2000-2012 –> 2013-2019 5.767303 65282.5207
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 49698.3618 3.070012 1982-1999 –> 2000-2012 6.987918 89653.1709
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 50435.8817 3.188329 1982-1999 –> 2000-2012 7.122260 90447.2419
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 51237.2780 3.321359 1982-1999 –> 2000-2012 7.281577 91346.1638
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 50435.8195 3.187992 1982-1999 –> 2000-2012 7.117386 90432.6251
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 51439.3931 3.355864 1982-1999 –> 2000-2012 7.207465 91149.3724
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate 51717.5497 3.404286 1982-1999 –> 2000-2012 7.267115 91467.2849
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 51495.6925 3.365539 1982-1999 –> 2000-2012 7.224744 91233.9602
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 50962.3799 3.274998 1982-1999 –> 2000-2012 7.126521 90672.0698
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 50072.9439 3.129382 1982-1999 –> 2000-2012 6.988163 89809.6381
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 51466.8050 3.360571 1982-1999 –> 2000-2012 7.275085 91409.1883
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 22649.5510 2.691568 2000-2012 –> 2013-2019 5.761580 72347.9128
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 22683.4061 2.701859 2000-2012 –> 2013-2019 5.890187 73119.2878
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 22668.9722 2.697711 2000-2012 –> 2013-2019 6.078536 74251.2806
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 22504.4311 2.650317 2000-2012 –> 2013-2019 5.971676 73741.7091
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 22670.9520 2.697706 2000-2012 –> 2013-2019 6.040928 74036.5368
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 22504.4038 2.650873 2000-2012 –> 2013-2019 6.104857 74505.3797
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 22393.4883 2.619207 2000-2012 –> 2013-2019 5.807199 72829.3078
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 22660.9150 2.694825 2000-2012 –> 2013-2019 6.050689 74100.3081
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 22476.4124 2.642425 2000-2012 –> 2013-2019 6.088414 74434.0739
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 22530.1758 2.657588 2000-2012 –> 2013-2019 5.786971 72603.1197

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
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
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
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
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
a84ff3c jens-daniel-mueller 2020-12-17 
rm(max_rmse)

7.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 7 10 8 8 4 4 8
(26,26.5] 10 9 8 7 4 3 7
(26.5,26.75] 7 3 8 9 7 4 10
(26.75,27] 6 5 6 9 5 8 10
(27,27.25] 7 5 5 9 5 8 10
(27.25,27.5] 7 4 8 7 10 3 9
(27.5,27.75] 8 3 9 7 4 10 7
(27.75,27.85] 7 6 9 6 6 10 5
(27.85,27.95] 5 3 7 7 10 10 5
(27.95,28.05] 7 3 7 8 10 9 4
(28.05,28.1] 7 4 6 10 7 4 10
(28.1,28.15] 5 3 5 10 9 5 10
(28.15,28.2] 8 3 9 5 7 6 10
(28.2, Inf] 8 3 9 7 10 4 7
total 99.00 64.00 104.00 109.00 98.00 88.00 112.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 10 7 8 4 4 8
(26,26.5] 10 10 7 7 3 3 7
(26.5,26.75] 9 5 9 7 6 4 9
(26.75,27] 5 4 5 9 4 10 10
(27,27.25] 7 6 7 8 4 9 9
(27.25,27.5] 8 10 9 7 4 3 7
(27.5,27.75] 8 5 8 7 5 10 7
(27.75,27.85] 8 6 7 8 4 10 6
(27.85,27.95] 5 3 7 7 10 10 5
(27.95,28.05] 6 3 7 8 10 9 5
(28.05,28.1] 6 5 6 10 7 4 10
(28.1,28.15] 7 3 5 10 5 7 10
(28.15,28.2] 7 3 7 7 10 3 10
(28.2, Inf] 6 4 7 10 10 5 6
total 100.00 77.00 98.00 113.00 86.00 91.00 109.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 6 6 7 8 9 6 8
(26,26.5] 8 4 8 8 10 4 7
(26.5,26.75] 9 9 9 7 5 3 6
(26.75,27] 10 6 10 8 4 4 6
(27,27.25] 10 4 10 9 4 5 5
(27.25,27.5] 10 4 10 10 4 4 4
(27.5,27.75] 10 5 10 9 5 3 5
(27.75,27.85] 8 4 8 8 6 8 8
(27.85,27.95] 7 10 7 8 3 6 7
(27.95,28.05] 10 4 10 10 4 4 4
(28.05,28.1] 10 4 10 9 5 5 4
(28.1, Inf] 9 7 10 7 3 6 6
total 107.00 67.00 109.00 101.00 62.00 58.00 70.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 8 8 7 6 8 4 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 7 7 9 9 3 6
(26.75,27] 10 7 10 7 3 3 7
(27,27.25] 9 3 9 7 8 7 6
(27.25,27.5] 8 4 8 8 8 6 8
(27.5,27.75] 6 4 6 8 10 4 10
(27.75,27.85] 4 4 5 9 5 10 10
(27.85,27.95] 5 6 5 8 5 10 9
(27.95,28.05] 9 6 9 8 5 6 6
(28.05,28.1] 10 5 10 7 7 5 3
(28.1, Inf] 10 5 10 7 7 5 3
total 92.00 64.00 92.00 92.00 85.00 69.00 84.00

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
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
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
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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")

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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")

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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"
    )
  )

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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"
    )
  )

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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]]

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[[2]]

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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)

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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)

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

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

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

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

other attached packages:
 [1] 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