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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 438.7575 5.028108 1982-1999 –> 2000-2012 11.021277 1011.2208
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 431.9199 4.788435 1982-1999 –> 2000-2012 10.589371 998.7106
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 434.6994 4.884451 1982-1999 –> 2000-2012 10.666407 1000.9198
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 435.0108 4.895329 1982-1999 –> 2000-2012 10.673964 1001.1313
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 436.7479 4.956447 1982-1999 –> 2000-2012 10.727052 1002.6264
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 439.5760 5.057591 1982-1999 –> 2000-2012 10.843921 1005.9280
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 438.4142 5.015794 1982-1999 –> 2000-2012 10.958751 1009.4135
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 438.3569 5.013740 1982-1999 –> 2000-2012 10.936635 1008.7678
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 437.9353 5.070588 1982-1999 –> 2000-2012 11.093892 1009.2713
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 438.3160 5.012275 1982-1999 –> 2000-2012 10.899157 1007.6657
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 571.2704 6.945624 2000-2012 –> 2013-2019 11.973732 1010.0279
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 573.6845 7.047372 2000-2012 –> 2013-2019 11.835807 1005.6044
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 573.8101 7.052707 2000-2012 –> 2013-2019 11.937158 1008.5095
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 573.8171 7.053006 2000-2012 –> 2013-2019 11.948335 1008.8279
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 568.9683 6.849967 2000-2012 –> 2013-2019 11.905948 1008.4997
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 573.8865 7.055954 2000-2012 –> 2013-2019 12.012400 1010.6344
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 574.6824 7.089865 2000-2012 –> 2013-2019 12.147457 1014.2585
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 570.7391 6.923432 2000-2012 –> 2013-2019 11.939226 1009.1534
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 570.4927 6.913161 2000-2012 –> 2013-2019 11.926900 1008.8496
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 569.7742 6.883305 2000-2012 –> 2013-2019 11.895579 1008.0902
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4640.7384 5.209670 1982-1999 –> 2000-2012 10.089887 7807.0728
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4642.7372 5.209666 1982-1999 –> 2000-2012 10.067116 7806.1618
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4640.3146 5.201304 1982-1999 –> 2000-2012 10.076385 7807.5437
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4716.6476 5.471365 1982-1999 –> 2000-2012 10.336137 7881.6540
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4680.8684 5.343077 1982-1999 –> 2000-2012 10.241486 7853.1098
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4694.5896 5.391916 1982-1999 –> 2000-2012 10.189367 7844.9641
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4679.2241 5.344338 1982-1999 –> 2000-2012 10.242854 7849.4885
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4626.7685 5.154791 1982-1999 –> 2000-2012 9.963039 7779.5034
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4678.9500 5.336284 1982-1999 –> 2000-2012 10.213522 7846.6433
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4698.4709 5.405811 1982-1999 –> 2000-2012 10.310277 7872.0097
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1522.4898 7.047624 2000-2012 –> 2013-2019 12.257295 6163.2282
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1524.1465 7.042224 2000-2012 –> 2013-2019 12.251891 6166.8837
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1502.9817 6.717267 2000-2012 –> 2013-2019 11.918571 6143.2963
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1504.5924 6.741461 2000-2012 –> 2013-2019 12.084538 6185.4608
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1504.6511 6.742344 2000-2012 –> 2013-2019 12.160400 6206.5339
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1524.3672 7.045694 2000-2012 –> 2013-2019 12.437610 6218.9567
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1505.8737 6.760769 2000-2012 –> 2013-2019 12.296157 6240.0647
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 1522.4038 7.046271 2000-2012 –> 2013-2019 12.390609 6201.6280
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1524.3855 7.045984 2000-2012 –> 2013-2019 12.200774 6151.1540
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1524.1085 7.041627 2000-2012 –> 2013-2019 12.377912 6203.0584
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6876.6456 5.208142 1982-1999 –> 2000-2012 9.334215 11235.8028
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6884.7406 5.227031 1982-1999 –> 2000-2012 9.137036 11161.4957
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6875.1193 5.204588 1982-1999 –> 2000-2012 9.344475 11239.3972
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6881.6136 5.219727 1982-1999 –> 2000-2012 9.316299 11229.7782
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6877.7587 5.210736 1982-1999 –> 2000-2012 9.322975 11231.7713
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 6883.7874 5.229479 1982-1999 –> 2000-2012 9.355364 11240.8749
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6882.9698 5.222893 1982-1999 –> 2000-2012 9.308750 11227.1217
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6894.8725 5.250770 1982-1999 –> 2000-2012 9.214311 11192.4614
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 6893.0956 5.251294 1982-1999 –> 2000-2012 9.228146 11193.8210
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6889.3195 5.237746 1982-1999 –> 2000-2012 9.207855 11189.4451
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1621.2571 7.394655 2000-2012 –> 2013-2019 12.611100 8501.4643
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1621.0266 7.391030 2000-2012 –> 2013-2019 12.599172 8497.6722
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1620.3396 7.380234 2000-2012 –> 2013-2019 12.590969 8498.0984
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 1626.2281 7.505149 2000-2012 –> 2013-2019 12.761906 8521.6484
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1623.5926 7.431491 2000-2012 –> 2013-2019 12.682261 8518.4651
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 1625.7438 7.497419 2000-2012 –> 2013-2019 12.750901 8519.7710
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1628.2261 7.505117 2000-2012 –> 2013-2019 12.743145 8517.6660
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1627.7259 7.497135 2000-2012 –> 2013-2019 12.748199 8522.7238
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 1625.1556 7.488042 2000-2012 –> 2013-2019 12.743620 8520.0743
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1627.1415 7.487818 2000-2012 –> 2013-2019 12.741951 8523.4456
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8036.9112 5.295178 1982-1999 –> 2000-2012 10.110427 13625.6249
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 8067.1234 5.357067 1982-1999 –> 2000-2012 10.164214 13652.6983
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8039.4224 5.300295 1982-1999 –> 2000-2012 10.109075 13625.6305
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8041.4248 5.304378 1982-1999 –> 2000-2012 10.096138 13621.0235
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8038.5609 5.298539 1982-1999 –> 2000-2012 10.108548 13625.2452
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 8047.7792 5.317358 1982-1999 –> 2000-2012 10.121488 13632.1840
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 8071.1010 5.365269 1982-1999 –> 2000-2012 10.167204 13654.6537
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 8029.5736 5.280255 1982-1999 –> 2000-2012 10.119380 13627.5070
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 8072.1051 5.367341 1982-1999 –> 2000-2012 10.168527 13655.3672
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 8070.4889 5.368133 1982-1999 –> 2000-2012 10.180384 13656.0415
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2310.5578 6.034717 2000-2012 –> 2013-2019 11.329895 10347.4690
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2307.1669 6.006125 2000-2012 –> 2013-2019 11.306420 10346.5893
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2309.6708 6.027225 2000-2012 –> 2013-2019 11.331603 10351.0956
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2307.0254 6.004935 2000-2012 –> 2013-2019 11.303474 10345.5863
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 2310.1436 6.048135 2000-2012 –> 2013-2019 11.369733 10357.9950
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2309.7054 6.027517 2000-2012 –> 2013-2019 11.344875 10357.4846
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2305.0339 5.988209 2000-2012 –> 2013-2019 11.353478 10376.1348
Atlantic (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 2308.6052 6.035118 2000-2012 –> 2013-2019 11.375729 10365.7296
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2305.1347 5.989055 2000-2012 –> 2013-2019 11.269310 10334.7083
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2304.6268 5.984796 2000-2012 –> 2013-2019 11.352137 10376.7319
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14998.5110 5.275249 1982-1999 –> 2000-2012 10.723270 28895.5740
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 14970.7652 5.245231 1982-1999 –> 2000-2012 10.601436 28792.0577
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14910.9491 5.181095 1982-1999 –> 2000-2012 10.500490 28701.4979
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14945.1646 5.217685 1982-1999 –> 2000-2012 10.509606 28712.6288
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14915.8882 5.186361 1982-1999 –> 2000-2012 10.504086 28705.0376
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 15066.6314 5.351881 1982-1999 –> 2000-2012 10.726986 28901.6266
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 14962.9606 5.236818 1982-1999 –> 2000-2012 10.699460 28871.9721
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14970.6039 5.245057 1982-1999 –> 2000-2012 10.632305 28817.6586
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 14939.4799 5.211588 1982-1999 –> 2000-2012 10.653512 28831.5518
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14983.8701 5.259388 1982-1999 –> 2000-2012 10.653670 28836.7418
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4118.4123 7.441818 2000-2012 –> 2013-2019 12.717067 19116.9233
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4132.9960 7.532963 2000-2012 –> 2013-2019 12.778194 19103.7612
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4130.6524 7.518241 2000-2012 –> 2013-2019 12.699336 19041.6015
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4119.8882 7.450992 2000-2012 –> 2013-2019 12.743562 19134.3373
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4128.1529 7.502572 2000-2012 –> 2013-2019 12.720256 19073.3174
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4130.6275 7.518085 2000-2012 –> 2013-2019 12.704446 19046.5156
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4119.4564 7.448307 2000-2012 –> 2013-2019 12.772261 19162.6513
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4113.3763 7.410601 2000-2012 –> 2013-2019 12.655657 19083.9803
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4130.8419 7.519431 2000-2012 –> 2013-2019 12.731018 19070.3218
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4115.0700 7.421085 2000-2012 –> 2013-2019 12.680472 19098.9401
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16959.4649 4.335641 1982-1999 –> 2000-2012 8.952215 31368.4877
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 16868.3828 4.268909 1982-1999 –> 2000-2012 8.878284 31269.7868
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16829.2817 4.240577 1982-1999 –> 2000-2012 8.887908 31270.7219
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 16893.0324 4.288327 1982-1999 –> 2000-2012 8.993157 31392.5046
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 16868.3805 4.268907 1982-1999 –> 2000-2012 8.968546 31364.4638
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 16891.3519 4.285640 1982-1999 –> 2000-2012 8.988533 31390.8145
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16868.1184 4.268717 1982-1999 –> 2000-2012 9.004029 31401.1197
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16837.5562 4.246557 1982-1999 –> 2000-2012 8.874993 31259.1070
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 16869.1334 4.270909 1982-1999 –> 2000-2012 9.001684 31395.4543
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16870.1913 4.270224 1982-1999 –> 2000-2012 8.996740 31394.1151
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4639.7057 7.482702 2000-2012 –> 2013-2019 11.818343 21599.1706
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4642.0247 7.495585 2000-2012 –> 2013-2019 11.840920 21614.6038
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4646.3694 7.519783 2000-2012 –> 2013-2019 11.788692 21514.7522
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4660.7070 7.600192 2000-2012 –> 2013-2019 11.840769 21489.9888
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 4649.8670 7.550514 2000-2012 –> 2013-2019 11.838841 21542.8994
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4644.0729 7.506983 2000-2012 –> 2013-2019 11.775890 21512.4535
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4648.3541 7.530863 2000-2012 –> 2013-2019 11.816503 21539.7060
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4659.3155 7.592350 2000-2012 –> 2013-2019 11.861067 21527.4339
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4654.7501 7.566680 2000-2012 –> 2013-2019 11.813237 21492.3062
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4655.9811 7.573593 2000-2012 –> 2013-2019 11.843817 21526.1724
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 19519.4770 4.330286 1982-1999 –> 2000-2012 8.921282 33607.0731
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 19524.1720 4.334576 1982-1999 –> 2000-2012 8.960878 33646.4028
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 19477.3777 4.303410 1982-1999 –> 2000-2012 8.920128 33591.6912
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 19459.9161 4.292312 1982-1999 –> 2000-2012 8.909791 33575.0177
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19488.9011 4.310750 1982-1999 –> 2000-2012 8.954265 33630.8905
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19466.3821 4.296418 1982-1999 –> 2000-2012 8.927207 33595.2481
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 19515.3948 4.327673 1982-1999 –> 2000-2012 8.921256 33605.6844
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 19521.2684 4.332715 1982-1999 –> 2000-2012 8.961949 33646.5283
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19523.0278 4.332561 1982-1999 –> 2000-2012 8.958827 33647.2211
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 19525.7151 4.334283 1982-1999 –> 2000-2012 8.942972 33631.7047
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 5424.8712 6.426161 2000-2012 –> 2013-2019 10.756447 24944.3482
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5431.1017 6.458296 2000-2012 –> 2013-2019 10.792872 24955.2737
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5431.8832 6.453528 2000-2012 –> 2013-2019 10.756939 24909.2608
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 5431.7555 6.453029 2000-2012 –> 2013-2019 10.745341 24891.6716
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5435.1755 6.466418 2000-2012 –> 2013-2019 10.777168 24924.0765
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5432.0894 6.454335 2000-2012 –> 2013-2019 10.750753 24898.4715
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5426.4751 6.432411 2000-2012 –> 2013-2019 10.760084 24941.8699
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 5431.1191 6.458364 2000-2012 –> 2013-2019 10.791079 24952.3875
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5433.0052 6.457918 2000-2012 –> 2013-2019 10.790479 24956.0330
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5428.1592 6.438980 2000-2012 –> 2013-2019 10.773262 24953.8743
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 12164.4692 4.050694 1982-1999 –> 2000-2012 8.763966 18912.8887
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12139.1176 4.026949 1982-1999 –> 2000-2012 8.696884 18866.5873
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 12184.4441 4.071390 1982-1999 –> 2000-2012 8.767580 18922.6291
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 12186.0722 4.071039 1982-1999 –> 2000-2012 8.766156 18925.7391
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 12141.6009 4.029268 1982-1999 –> 2000-2012 8.707136 18872.9198
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 12186.2500 4.071207 1982-1999 –> 2000-2012 8.763606 18924.6035
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12185.5137 4.070512 1982-1999 –> 2000-2012 8.773366 18928.9150
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12158.1910 4.044801 1982-1999 –> 2000-2012 8.759249 18907.1768
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 12146.5527 4.033898 1982-1999 –> 2000-2012 8.759122 18900.7164
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 12153.5156 4.040418 1982-1999 –> 2000-2012 8.758175 18904.0929
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3339.7700 7.788418 2000-2012 –> 2013-2019 11.839112 15504.2393
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3338.0443 7.774400 2000-2012 –> 2013-2019 11.801349 15477.1619
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3329.6820 7.706833 2000-2012 –> 2013-2019 11.858811 15600.6425
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3337.8066 7.772471 2000-2012 –> 2013-2019 11.843510 15523.8788
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3336.0194 7.757985 2000-2012 –> 2013-2019 11.787253 15477.6202
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3337.3621 7.768866 2000-2012 –> 2013-2019 11.841829 15525.4715
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3340.6678 7.795720 2000-2012 –> 2013-2019 11.866232 15526.1816
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3339.4428 7.785758 2000-2012 –> 2013-2019 11.830558 15497.6338
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3335.7672 7.755943 2000-2012 –> 2013-2019 11.789841 15482.3198
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3338.8527 7.780963 2000-2012 –> 2013-2019 11.821380 15492.3683
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 24633.1229 3.937113 1982-1999 –> 2000-2012 8.058758 38187.9951
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 24521.2343 3.887517 1982-1999 –> 2000-2012 8.050660 38123.9529
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 24634.3411 3.938549 1982-1999 –> 2000-2012 8.102268 38235.7194
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 25090.8242 4.146672 1982-1999 –> 2000-2012 8.334200 38721.4351
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 25120.8816 4.161760 1982-1999 –> 2000-2012 8.375708 38779.5297
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 24598.1643 3.921549 1982-1999 –> 2000-2012 8.096286 38214.1632
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 24538.2333 3.895011 1982-1999 –> 2000-2012 8.058445 38141.2844
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 24780.0178 4.003188 1982-1999 –> 2000-2012 8.199347 38420.4615
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 24786.6933 4.007125 1982-1999 –> 2000-2012 8.335394 38573.1847
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 24585.0586 3.915731 1982-1999 –> 2000-2012 8.085255 38195.0915
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 8460.3794 5.412077 2000-2012 –> 2013-2019 9.349190 33093.5022
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8437.7756 5.367255 2000-2012 –> 2013-2019 9.254772 32959.0100
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 8475.3291 5.445933 2000-2012 –> 2013-2019 9.384482 33109.6702
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 8574.0050 5.643124 2000-2012 –> 2013-2019 9.789796 33664.8291
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 8595.2487 5.691590 2000-2012 –> 2013-2019 9.853350 33716.1303
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 8442.3888 5.376373 2000-2012 –> 2013-2019 9.297922 33040.5531
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8439.0110 5.369695 2000-2012 –> 2013-2019 9.264707 32977.2443
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 8404.6131 5.302167 2000-2012 –> 2013-2019 9.305355 33184.6309
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 8442.3584 5.380270 2000-2012 –> 2013-2019 9.387395 33229.0516
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8442.5932 5.376777 2000-2012 –> 2013-2019 9.292508 33027.6519
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 27130.6335 4.347048 1982-1999 –> 2000-2012 8.444507 45206.9193
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 26489.2449 4.059976 1982-1999 –> 2000-2012 7.952137 44237.3784
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26586.8656 4.102414 1982-1999 –> 2000-2012 7.997418 44339.6600
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 26586.1526 4.102976 1982-1999 –> 2000-2012 7.998143 44337.2139
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 26661.2371 4.135042 1982-1999 –> 2000-2012 8.084332 44502.3929
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 26758.1855 4.178855 1982-1999 –> 2000-2012 8.128741 44598.3047
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26890.9672 4.237477 1982-1999 –> 2000-2012 8.331525 44961.9376
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 26688.3508 4.147002 1982-1999 –> 2000-2012 8.070923 44488.3661
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26587.5119 4.102696 1982-1999 –> 2000-2012 7.997667 44340.2515
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26646.1761 4.128413 1982-1999 –> 2000-2012 8.038414 44423.5036
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 8629.5932 6.550409 2000-2012 –> 2013-2019 10.610385 35118.8381
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8636.6235 6.568063 2000-2012 –> 2013-2019 10.670477 35223.4891
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 8658.1281 6.627434 2000-2012 –> 2013-2019 10.730410 35244.2807
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 8683.4518 6.686878 2000-2012 –> 2013-2019 10.821920 35344.6890
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 8715.2185 6.773884 2000-2012 –> 2013-2019 10.952740 35473.4041
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8582.7697 6.434031 2000-2012 –> 2013-2019 10.671508 35473.7369
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 8677.2604 6.671047 2000-2012 –> 2013-2019 10.818048 35365.6112
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8650.6494 6.603427 2000-2012 –> 2013-2019 10.706124 35238.1614
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 8619.3942 6.524882 2000-2012 –> 2013-2019 10.933079 35881.1655
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8671.4462 6.656214 2000-2012 –> 2013-2019 10.784627 35317.6223
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20431.2616 4.369569 1982-1999 –> 2000-2012 8.295523 32800.8156
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 20029.6757 4.127823 1982-1999 –> 2000-2012 7.965064 32297.8864
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 20432.6978 4.371697 1982-1999 –> 2000-2012 8.301335 32804.4098
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20261.7339 4.265836 1982-1999 –> 2000-2012 8.195292 32635.2400
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20439.7959 4.374857 1982-1999 –> 2000-2012 8.294596 32802.3250
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20350.1250 4.319611 1982-1999 –> 2000-2012 8.245621 32719.7413
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20357.9022 4.324375 1982-1999 –> 2000-2012 8.253026 32730.5011
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 20216.1437 4.238363 1982-1999 –> 2000-2012 8.180370 32603.7911
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 20214.1442 4.238363 1982-1999 –> 2000-2012 8.183146 32602.9123
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19888.7961 4.046225 1982-1999 –> 2000-2012 7.974306 32260.7520
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6988.4359 7.031178 2000-2012 –> 2013-2019 11.347098 27332.5304
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6988.6813 7.032011 2000-2012 –> 2013-2019 11.371402 27371.0427
Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6983.0121 7.012778 2000-2012 –> 2013-2019 11.341659 27348.2630
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6874.6228 6.655024 2000-2012 –> 2013-2019 10.782847 26904.2985
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7004.7266 7.086730 2000-2012 –> 2013-2019 11.352567 27266.4605
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6981.4876 7.007615 2000-2012 –> 2013-2019 11.382472 27421.2835
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6988.0171 7.029755 2000-2012 –> 2013-2019 11.349366 27338.1422
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6933.9581 6.848546 2000-2012 –> 2013-2019 11.086909 27150.1018
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 6949.9622 6.908372 2000-2012 –> 2013-2019 11.146735 27164.1064
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6912.3373 6.777387 2000-2012 –> 2013-2019 10.823611 26801.1333
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 14503.8249 4.042271 1982-1999 –> 2000-2012 7.786832 22894.4297
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14507.1869 4.044913 1982-1999 –> 2000-2012 7.761822 22875.1262
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14524.8739 4.058839 1982-1999 –> 2000-2012 7.784969 22900.3896
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14520.8632 4.055677 1982-1999 –> 2000-2012 7.772663 22888.8653
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 14549.7333 4.080080 1982-1999 –> 2000-2012 7.809209 22925.7096
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14553.6805 4.081624 1982-1999 –> 2000-2012 7.813642 22934.0253
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 14494.2183 4.034732 1982-1999 –> 2000-2012 7.767143 22874.8845
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 14551.6853 4.081628 1982-1999 –> 2000-2012 7.814741 22930.9274
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14564.6736 4.090352 1982-1999 –> 2000-2012 7.821707 22944.4744
Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14564.0102 4.091415 1982-1999 –> 2000-2012 7.823968 22942.7925
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5034.9358 8.431169 2000-2012 –> 2013-2019 12.526056 19605.3111
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4992.3304 8.180918 2000-2012 –> 2013-2019 12.223189 19496.1553
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5043.3241 8.481334 2000-2012 –> 2013-2019 12.526247 19550.5110
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5021.8013 8.353215 2000-2012 –> 2013-2019 12.446314 19589.9281
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5037.4748 8.446322 2000-2012 –> 2013-2019 12.501999 19558.3380
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4984.1941 8.133979 2000-2012 –> 2013-2019 12.231610 19558.0168
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 4990.5398 8.182129 2000-2012 –> 2013-2019 12.280313 19563.0568
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4982.4420 8.123906 2000-2012 –> 2013-2019 12.158638 19476.6603
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5025.5781 8.387412 2000-2012 –> 2013-2019 12.528636 19651.8585
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5026.3756 8.380282 2000-2012 –> 2013-2019 12.470634 19591.0492
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6369.1891 3.692380 1982-1999 –> 2000-2012 7.841239 9543.2394
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6368.1671 3.690762 1982-1999 –> 2000-2012 7.860092 9547.6907
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 6350.2691 3.662544 1982-1999 –> 2000-2012 7.813762 9524.9514
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6364.5822 3.685093 1982-1999 –> 2000-2012 7.851377 9543.2932
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6358.6209 3.675685 1982-1999 –> 2000-2012 7.835822 9535.6902
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6376.2685 3.703606 1982-1999 –> 2000-2012 7.843390 9547.8839
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6360.6969 3.678958 1982-1999 –> 2000-2012 7.817166 9531.8889
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 6359.2406 3.679816 1982-1999 –> 2000-2012 7.836488 9533.3831
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6360.0405 3.677923 1982-1999 –> 2000-2012 7.833031 9535.7646
Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6374.7307 3.701165 1982-1999 –> 2000-2012 7.851369 9549.1414
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1015.1912 2.781502 2000-2012 –> 2013-2019 6.473882 7384.3803
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1015.8571 2.786024 2000-2012 –> 2013-2019 6.510874 7405.4639
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 1013.2580 2.781956 2000-2012 –> 2013-2019 6.474734 7380.6989
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1015.1012 2.780892 2000-2012 –> 2013-2019 6.471654 7383.2683
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 1014.0305 2.787202 2000-2012 –> 2013-2019 6.512550 7401.9485
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 1012.8285 2.765520 2000-2012 –> 2013-2019 6.428064 7363.0976
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1015.2607 2.781974 2000-2012 –> 2013-2019 6.467067 7379.8428
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1014.9989 2.780198 2000-2012 –> 2013-2019 6.497321 7399.7627
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 1013.1182 2.781007 2000-2012 –> 2013-2019 6.499636 7396.8264
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1013.5425 2.770340 2000-2012 –> 2013-2019 6.446024 7372.1633
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 14237.8864 3.309205 1982-1999 –> 2000-2012 6.690207 20401.6285
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 14305.1446 3.350389 1982-1999 –> 2000-2012 6.754051 20484.4645
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 14245.1779 3.314864 1982-1999 –> 2000-2012 6.710926 20417.2838
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 14236.4777 3.308348 1982-1999 –> 2000-2012 6.600655 20338.2266
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14264.5385 3.325464 1982-1999 –> 2000-2012 6.734754 20447.7107
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 14276.0598 3.333743 1982-1999 –> 2000-2012 6.758201 20467.5845
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 14234.3502 3.307054 1982-1999 –> 2000-2012 6.700845 20406.8963
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 14274.8512 3.331776 1982-1999 –> 2000-2012 6.612432 20368.3332
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14209.0833 3.291724 1982-1999 –> 2000-2012 6.609355 20328.7011
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14218.8709 3.297654 1982-1999 –> 2000-2012 6.593036 20322.7971
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2017.7709 3.200287 2000-2012 –> 2013-2019 6.508635 16254.2486
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 2022.2780 3.218929 2000-2012 –> 2013-2019 6.526698 16257.8031
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2021.0618 3.222182 2000-2012 –> 2013-2019 6.539906 16270.9304
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2005.9330 3.151837 2000-2012 –> 2013-2019 6.457991 16238.8032
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2003.8191 3.143263 2000-2012 –> 2013-2019 6.450317 16238.1693
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate_star 2003.9511 3.151911 2000-2012 –> 2013-2019 6.460665 16239.0959
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1999.9462 3.127614 2000-2012 –> 2013-2019 6.419338 16209.0296
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2012.4504 3.178420 2000-2012 –> 2013-2019 6.482618 16242.1025
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 2010.5849 3.178971 2000-2012 –> 2013-2019 6.486807 16244.2210
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2005.5741 3.150379 2000-2012 –> 2013-2019 6.448034 16224.4450
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 28860.7744 5.958595 1982-1999 –> 2000-2012 17.219269 41263.4370
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 29331.0325 6.278069 1982-1999 –> 2000-2012 17.531173 41731.5258
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 29095.2337 6.117150 1982-1999 –> 2000-2012 17.606841 41560.8476
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 28943.6385 6.013685 1982-1999 –> 2000-2012 17.291446 41351.1925
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 28958.5889 6.023679 1982-1999 –> 2000-2012 17.309105 41368.3348
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 29095.0849 6.115690 1982-1999 –> 2000-2012 17.558014 41549.3719
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 29512.8670 6.406142 1982-1999 –> 2000-2012 17.674730 41917.7961
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29570.1072 6.446997 1982-1999 –> 2000-2012 17.729238 41978.9426
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 29037.0076 6.076370 1982-1999 –> 2000-2012 17.378946 41451.6523
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29596.2584 6.465749 1982-1999 –> 2000-2012 17.752842 42006.4809
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16970.8773 4.539189 2000-2012 –> 2013-2019 10.497784 45831.6517
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18063.3551 5.482865 2000-2012 –> 2013-2019 11.760933 47394.3876
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 17395.7162 4.886835 2000-2012 –> 2013-2019 11.003985 46490.9499
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17277.2166 4.786080 2000-2012 –> 2013-2019 10.799765 46220.8551
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17302.6985 4.807212 2000-2012 –> 2013-2019 10.830891 46261.2874
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 17389.6738 4.880045 2000-2012 –> 2013-2019 10.995735 46484.7588
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 18304.2074 5.715998 2000-2012 –> 2013-2019 12.122140 47817.0744
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17465.0495 4.944057 2000-2012 –> 2013-2019 11.020427 46502.0571
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18021.7319 5.443550 2000-2012 –> 2013-2019 12.086845 47861.9014
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 17973.3321 5.398189 2000-2012 –> 2013-2019 12.096434 47887.6717
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 18455.0685 4.759928 1982-1999 –> 2000-2012 12.014805 30180.7777
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18497.2126 4.792446 1982-1999 –> 2000-2012 11.980597 30191.0997
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 18413.7675 4.728274 1982-1999 –> 2000-2012 12.006403 30150.4969
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 18436.9484 4.746014 1982-1999 –> 2000-2012 12.049606 30185.7063
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 18546.3086 4.830608 1982-1999 –> 2000-2012 12.077595 30268.2703
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18593.7248 4.867753 1982-1999 –> 2000-2012 12.147792 30331.3583
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 18444.1249 4.751520 1982-1999 –> 2000-2012 12.061200 30195.7525
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18584.0621 4.860161 1982-1999 –> 2000-2012 12.200974 30350.3272
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18595.6937 4.869302 1982-1999 –> 2000-2012 12.152270 30334.7127
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 18611.8738 4.883624 1982-1999 –> 2000-2012 12.227770 30377.7017
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8903.6476 4.127119 2000-2012 –> 2013-2019 8.887046 27358.7161
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8821.9498 4.020922 2000-2012 –> 2013-2019 8.813368 27319.1624
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8960.0859 4.202115 2000-2012 –> 2013-2019 8.930389 27373.8534
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8988.7131 4.240674 2000-2012 –> 2013-2019 8.986689 27425.6615
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 8908.9778 4.134144 2000-2012 –> 2013-2019 8.964752 27455.2864
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8949.5390 4.187997 2000-2012 –> 2013-2019 9.055751 27543.2639
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8994.2014 4.248107 2000-2012 –> 2013-2019 8.999627 27438.3262
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8907.0176 4.131559 2000-2012 –> 2013-2019 8.991720 27491.0798
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8949.7645 4.188298 2000-2012 –> 2013-2019 9.057600 27545.4582
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 8947.8499 4.188413 2000-2012 –> 2013-2019 9.072037 27559.7237
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 20462.0571 5.592500 1982-1999 –> 2000-2012 11.327397 31698.9494
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 20461.3281 5.590157 1982-1999 –> 2000-2012 11.313745 31693.2210
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 19925.8888 5.148904 1982-1999 –> 2000-2012 10.559213 30958.1782
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 20343.0712 5.489557 1982-1999 –> 2000-2012 11.218625 31578.3575
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 20028.7657 5.230893 1982-1999 –> 2000-2012 10.679224 31085.8888
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20096.3551 5.285468 1982-1999 –> 2000-2012 10.771622 31178.0096
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20107.1373 5.294227 1982-1999 –> 2000-2012 10.790465 31195.3041
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 20225.3357 5.392855 1982-1999 –> 2000-2012 11.174866 31491.2406
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20155.7215 5.333873 1982-1999 –> 2000-2012 11.115883 31423.6259
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 20411.5699 5.547606 1982-1999 –> 2000-2012 11.276452 31646.7189
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 8273.8381 4.953073 2000-2012 –> 2013-2019 10.543230 28735.1662
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8238.3748 4.889287 2000-2012 –> 2013-2019 10.038191 28164.2637
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 8362.7109 5.120345 2000-2012 –> 2013-2019 10.609946 28703.8336
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8313.4642 5.025331 2000-2012 –> 2013-2019 10.514888 28656.5354
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8259.3789 4.926966 2000-2012 –> 2013-2019 10.157859 28288.1445
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8277.8280 4.960301 2000-2012 –> 2013-2019 10.245769 28374.1831
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8361.9789 5.115235 2000-2012 –> 2013-2019 10.602388 28702.1971
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8278.8799 4.962209 2000-2012 –> 2013-2019 10.256435 28386.0172
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 8282.6829 4.972745 2000-2012 –> 2013-2019 10.365600 28508.0186
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8259.8746 4.927859 2000-2012 –> 2013-2019 10.261732 28415.5961
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 30174.1854 5.181418 1982-1999 –> 2000-2012 11.455966 49640.6953
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 30123.2796 5.153645 1982-1999 –> 2000-2012 11.403505 49568.2295
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 30039.4586 5.109948 1982-1999 –> 2000-2012 11.377007 49500.8310
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 30366.8655 5.282761 1982-1999 –> 2000-2012 11.624879 49899.3860
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 30298.9085 5.246417 1982-1999 –> 2000-2012 11.583359 49826.5495
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 30345.6895 5.271409 1982-1999 –> 2000-2012 11.609340 49874.2628
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 30023.3069 5.101571 1982-1999 –> 2000-2012 11.337645 49455.0602
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 30280.1892 5.236450 1982-1999 –> 2000-2012 11.518520 49755.8580
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 30305.7072 5.251109 1982-1999 –> 2000-2012 11.591062 49834.1876
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 30258.0990 5.224713 1982-1999 –> 2000-2012 11.560856 49784.9863
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 13564.1235 4.395282 2000-2012 –> 2013-2019 9.576699 43738.3088
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 13542.3770 4.373008 2000-2012 –> 2013-2019 9.526653 43665.6566
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 13520.2721 4.352375 2000-2012 –> 2013-2019 9.462324 43559.7308
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 13667.0891 4.491259 2000-2012 –> 2013-2019 9.774020 44033.9546
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13744.6388 4.566399 2000-2012 –> 2013-2019 9.812816 44043.5474
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 13685.8529 4.511256 2000-2012 –> 2013-2019 9.833621 44124.2422
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 13509.4184 4.342280 2000-2012 –> 2013-2019 9.443851 43532.7253
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13682.1377 4.505743 2000-2012 –> 2013-2019 9.742193 43962.3269
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 13743.8934 4.567625 2000-2012 –> 2013-2019 9.818734 44049.6006
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13745.7074 4.567443 2000-2012 –> 2013-2019 9.792156 44003.8064
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 39783.0253 4.958920 1982-1999 –> 2000-2012 11.073619 63909.4733
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 39717.9967 4.934491 1982-1999 –> 2000-2012 11.119458 63929.7517
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 39483.9361 4.847556 1982-1999 –> 2000-2012 10.977684 63629.1992
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 39482.1614 4.847639 1982-1999 –> 2000-2012 11.074991 63742.9064
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 39426.1618 4.826334 1982-1999 –> 2000-2012 11.030676 63661.2690
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 39409.7548 4.820324 1982-1999 –> 2000-2012 10.923796 63522.4817
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 39475.1257 4.844313 1982-1999 –> 2000-2012 11.071526 63737.7029
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 39695.8732 4.926208 1982-1999 –> 2000-2012 11.114864 63912.0805
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 39418.4812 4.823519 1982-1999 –> 2000-2012 10.935749 63541.9134
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 39239.7736 4.758500 1982-1999 –> 2000-2012 10.842896 63329.1304
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 18247.1176 4.174924 2000-2012 –> 2013-2019 9.109415 57965.1143
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18211.2203 4.151580 2000-2012 –> 2013-2019 8.999135 57695.1564
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 18219.0988 4.157991 2000-2012 –> 2013-2019 9.005629 57701.2602
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18170.4466 4.125223 2000-2012 –> 2013-2019 8.951556 57596.6084
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 18198.3274 4.143227 2000-2012 –> 2013-2019 8.963551 57608.0823
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 18196.3603 4.141954 2000-2012 –> 2013-2019 8.986268 57671.4860
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18252.0142 4.178118 2000-2012 –> 2013-2019 9.078071 57877.5201
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18243.5347 4.172588 2000-2012 –> 2013-2019 9.062190 57841.1933
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18224.0203 4.159888 2000-2012 –> 2013-2019 8.983408 57642.5015
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 18146.2081 4.109634 2000-2012 –> 2013-2019 8.868134 57385.9817
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 40773.3453 4.550427 1982-1999 –> 2000-2012 9.722576 65301.5326
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 40492.7208 4.458787 1982-1999 –> 2000-2012 9.617668 65002.3449
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 40624.5598 4.501951 1982-1999 –> 2000-2012 9.737012 65249.5415
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 40532.4502 4.471557 1982-1999 –> 2000-2012 9.639830 65056.6371
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 39910.7280 4.275849 1982-1999 –> 2000-2012 9.508602 64534.1799
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 40260.5966 4.384903 1982-1999 –> 2000-2012 9.368322 64493.1845
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 40006.2799 4.305360 1982-1999 –> 2000-2012 9.744404 64939.2906
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 40050.0232 4.318938 1982-1999 –> 2000-2012 9.285774 64255.9250
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 40364.3767 4.418419 1982-1999 –> 2000-2012 9.418501 64621.6893
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 39564.6056 4.170631 1982-1999 –> 2000-2012 9.116249 63736.2338
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 19069.3031 3.305788 2000-2012 –> 2013-2019 7.652217 59207.4698
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 19142.8497 3.340234 2000-2012 –> 2013-2019 7.693537 59300.9729
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 19034.5074 3.290043 2000-2012 –> 2013-2019 7.565891 58945.2354
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 19179.1596 3.355996 2000-2012 –> 2013-2019 7.796650 59615.2721
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 19335.7190 3.429810 2000-2012 –> 2013-2019 7.902814 59870.6654
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 19043.9176 3.294294 2000-2012 –> 2013-2019 7.599654 59050.1975
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19061.4039 3.302207 2000-2012 –> 2013-2019 7.651023 59207.1973
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 19169.1056 3.351369 2000-2012 –> 2013-2019 7.706871 59336.2401
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19058.1542 3.300735 2000-2012 –> 2013-2019 7.641452 59178.0541
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19648.3918 3.579177 2000-2012 –> 2013-2019 7.749808 59212.9974
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 43680.1577 4.043630 1982-1999 –> 2000-2012 8.962840 69736.6573
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 43683.8245 4.045108 1982-1999 –> 2000-2012 8.970244 69748.7329
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 43638.0078 4.032653 1982-1999 –> 2000-2012 8.952270 69695.2220
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 43744.4322 4.060950 1982-1999 –> 2000-2012 8.988211 69813.0712
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 42938.8743 3.854867 1982-1999 –> 2000-2012 8.774950 68996.9077
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 43721.4826 4.054421 1982-1999 –> 2000-2012 8.805820 69477.8896
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 42939.3908 3.854996 1982-1999 –> 2000-2012 8.927107 69260.5373
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 43877.7568 4.095489 1982-1999 –> 2000-2012 8.846871 69634.1315
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 43947.2858 4.114426 1982-1999 –> 2000-2012 8.866104 69702.2010
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 43684.9492 4.044880 1982-1999 –> 2000-2012 8.772188 69397.4066
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 21221.2719 3.073082 2000-2012 –> 2013-2019 7.133163 64964.3884
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 21455.2635 3.161238 2000-2012 –> 2013-2019 7.234246 65245.6708
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 21032.3335 3.004278 2000-2012 –> 2013-2019 6.859145 63971.2078
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 21959.2337 3.357253 2000-2012 –> 2013-2019 7.374663 65538.5183
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 21028.2433 3.002805 2000-2012 –> 2013-2019 6.857801 63967.6340
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21026.8642 3.002309 2000-2012 –> 2013-2019 6.868756 64012.2483
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21107.0516 3.031301 2000-2012 –> 2013-2019 6.890792 64064.5120
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21026.8945 3.002320 2000-2012 –> 2013-2019 6.867697 64007.9863
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 21260.8188 3.088421 2000-2012 –> 2013-2019 6.978973 64340.5702
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 21859.4496 3.317343 2000-2012 –> 2013-2019 7.362223 65544.3988
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 21560.2317 3.554784 1982-1999 –> 2000-2012 7.949674 33473.2919
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 21577.5827 3.562484 1982-1999 –> 2000-2012 7.958814 33491.9868
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 21505.8842 3.530770 1982-1999 –> 2000-2012 7.949416 33441.0681
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21464.4076 3.512553 1982-1999 –> 2000-2012 7.947407 33414.6176
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21448.5838 3.505627 1982-1999 –> 2000-2012 7.955044 33412.2476
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21462.4959 3.511715 1982-1999 –> 2000-2012 7.950594 33416.4283
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 21493.9397 3.525514 1982-1999 –> 2000-2012 7.946678 33431.4613
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 21459.1690 3.510258 1982-1999 –> 2000-2012 7.950563 33414.4200
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 21433.0628 3.498848 1982-1999 –> 2000-2012 7.895645 33347.9036
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 21459.6250 3.510458 1982-1999 –> 2000-2012 7.953880 33417.7557
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 10518.2459 2.909153 2000-2012 –> 2013-2019 6.439923 32024.1300
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10502.9396 2.898631 2000-2012 –> 2013-2019 6.411183 31967.3473
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10504.1683 2.899474 2000-2012 –> 2013-2019 6.405101 31952.7521
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10503.1525 2.898777 2000-2012 –> 2013-2019 6.410492 31965.6484
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 10502.2738 2.899546 2000-2012 –> 2013-2019 6.423185 31989.9468
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10571.1152 2.945794 2000-2012 –> 2013-2019 6.456053 32030.2842
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 10568.3562 2.943871 2000-2012 –> 2013-2019 6.442719 32001.4190
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10571.7211 2.946217 2000-2012 –> 2013-2019 6.456675 32031.3460
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 10573.3857 2.948774 2000-2012 –> 2013-2019 6.459399 32031.3922
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10582.5345 2.955168 2000-2012 –> 2013-2019 6.474431 32060.2443
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 29229.2249 3.186427 1982-1999 –> 2000-2012 7.646588 46172.2820
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 29068.6505 3.141047 1982-1999 –> 2000-2012 7.600990 46013.4236
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 29177.2786 3.171297 1982-1999 –> 2000-2012 7.625189 46114.1637
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29096.2470 3.148705 1982-1999 –> 2000-2012 7.640176 46081.9476
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 29226.3952 3.185070 1982-1999 –> 2000-2012 7.644996 46171.1471
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 29066.8936 3.140560 1982-1999 –> 2000-2012 7.612737 46027.5818
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 29097.3843 3.149021 1982-1999 –> 2000-2012 7.635812 46077.0279
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 29095.6804 3.148547 1982-1999 –> 2000-2012 7.651361 46096.0344
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 29097.3786 3.149019 1982-1999 –> 2000-2012 7.637004 46078.5674
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 29095.4119 3.149028 1982-1999 –> 2000-2012 7.642648 46081.8910
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 15106.6803 2.932101 2000-2012 –> 2013-2019 6.073149 44175.3308
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 15062.0732 2.910562 2000-2012 –> 2013-2019 6.059437 44158.9323
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15044.9334 2.902328 2000-2012 –> 2013-2019 6.057552 44164.6236
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15040.9210 2.900404 2000-2012 –> 2013-2019 6.049109 44137.1680
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15044.9712 2.902346 2000-2012 –> 2013-2019 6.058204 44166.9378
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 15042.9973 2.902359 2000-2012 –> 2013-2019 6.069454 44203.2499
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 15077.9670 2.918219 2000-2012 –> 2013-2019 6.058779 44144.8606
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 15070.9625 2.914842 2000-2012 –> 2013-2019 6.063863 44168.3469
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 15071.1836 2.914948 2000-2012 –> 2013-2019 6.063968 44168.5622
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 15079.6333 2.919988 2000-2012 –> 2013-2019 6.069016 44175.0452
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 48293.3278 3.003112 1982-1999 –> 2000-2012 7.491257 81136.2171
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 48173.2247 2.984045 1982-1999 –> 2000-2012 7.472161 81018.0411
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 48239.7189 2.994726 1982-1999 –> 2000-2012 7.499751 81124.8097
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 48292.2470 3.002630 1982-1999 –> 2000-2012 7.463825 81069.4275
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 48319.7650 3.007257 1982-1999 –> 2000-2012 7.473078 81106.5975
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 48160.7932 2.982111 1982-1999 –> 2000-2012 7.438258 80925.2469
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 48267.2267 2.998714 1982-1999 –> 2000-2012 7.450925 81021.7461
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 48317.5599 3.006597 1982-1999 –> 2000-2012 7.491601 81154.5796
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 48251.9349 2.996322 1982-1999 –> 2000-2012 7.481170 81088.5612
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 48233.6615 2.993468 1982-1999 –> 2000-2012 7.491798 81104.0355
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 27113.3923 3.063616 2000-2012 –> 2013-2019 6.066728 75406.7200
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 27114.2127 3.063277 2000-2012 –> 2013-2019 6.047322 75287.4375
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 27101.9094 3.059749 2000-2012 –> 2013-2019 6.062379 75394.1564
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 27120.8534 3.065183 2000-2012 –> 2013-2019 6.047294 75281.6466
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 27212.1629 3.091511 2000-2012 –> 2013-2019 6.090225 75479.3896
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 27078.8118 3.053136 2000-2012 –> 2013-2019 6.059734 75396.3717
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 27076.3587 3.052435 2000-2012 –> 2013-2019 6.084734 75557.0990
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 27096.3819 3.058165 2000-2012 –> 2013-2019 6.054487 75348.3168
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 27070.2916 3.050701 2000-2012 –> 2013-2019 6.057038 75386.1934
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 27216.5298 3.092776 2000-2012 –> 2013-2019 6.086244 75450.1913
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 38582.7019 2.929888 1982-1999 –> 2000-2012 7.072331 60549.6349
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 38573.4524 2.927758 1982-1999 –> 2000-2012 7.064716 60532.1436
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 38636.9527 2.940184 1982-1999 –> 2000-2012 7.086596 60611.2888
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 38529.9441 2.919533 1982-1999 –> 2000-2012 7.035560 60449.4263
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 38564.6131 2.926464 1982-1999 –> 2000-2012 7.042875 60482.8174
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 38473.9417 2.908981 1982-1999 –> 2000-2012 7.025042 60393.4886
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 38553.6010 2.924003 1982-1999 –> 2000-2012 7.038393 60470.0085
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 38531.7536 2.919875 1982-1999 –> 2000-2012 7.050576 60478.7445
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 38583.3932 2.929641 1982-1999 –> 2000-2012 7.067756 60544.2463
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 38631.7106 2.938807 1982-1999 –> 2000-2012 7.084046 60605.8593
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 26786.8238 2.847709 2000-2012 –> 2013-2019 5.777598 65369.5257
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 26690.0415 2.821924 2000-2012 –> 2013-2019 5.749682 65263.4939
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 26597.6690 2.798023 2000-2012 –> 2013-2019 5.717556 65127.6131
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 26614.1883 2.802282 2000-2012 –> 2013-2019 5.726763 65170.3190
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 26723.5076 2.831155 2000-2012 –> 2013-2019 5.757618 65288.1207
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 26745.2589 2.836831 2000-2012 –> 2013-2019 5.780674 65401.4496
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26716.6910 2.828857 2000-2012 –> 2013-2019 5.737838 65190.6327
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26686.9436 2.821119 2000-2012 –> 2013-2019 5.745122 65240.5446
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 26747.2381 2.836825 2000-2012 –> 2013-2019 5.756700 65278.9917
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 26756.2176 2.839172 2000-2012 –> 2013-2019 5.768813 65339.6107
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 49656.6076 3.063464 1982-1999 –> 2000-2012 7.028543 91371.4853
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 50385.5241 3.180129 1982-1999 –> 2000-2012 7.158706 92149.0762
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 51157.2958 3.307803 1982-1999 –> 2000-2012 7.321932 93055.5084
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 50382.8882 3.179375 1982-1999 –> 2000-2012 7.155536 92139.3812
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 51371.3395 3.344206 1982-1999 –> 2000-2012 7.281587 92981.6809
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate 51620.4122 3.387418 1982-1999 –> 2000-2012 7.329891 93248.0288
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 51381.9416 3.346020 1982-1999 –> 2000-2012 7.277110 92968.4411
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 50910.7514 3.266363 1982-1999 –> 2000-2012 7.195305 92489.0979
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 50010.9368 3.119476 1982-1999 –> 2000-2012 7.040324 91558.5358
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 51414.8685 3.351658 1982-1999 –> 2000-2012 7.364347 93307.7305
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 22649.5510 2.691568 2000-2012 –> 2013-2019 5.755032 72306.1585
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 22683.4061 2.701859 2000-2012 –> 2013-2019 5.881988 73068.9302
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 22668.9722 2.697711 2000-2012 –> 2013-2019 6.067069 74184.8397
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 22504.4311 2.650317 2000-2012 –> 2013-2019 5.958119 73661.7270
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 22670.9520 2.697706 2000-2012 –> 2013-2019 6.032091 73984.7777
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 22504.4038 2.650873 2000-2012 –> 2013-2019 6.090541 74424.1605
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 22393.4883 2.619207 2000-2012 –> 2013-2019 5.798582 72776.3765
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 22660.9150 2.694825 2000-2012 –> 2013-2019 6.039032 74032.2545
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 22476.4124 2.642425 2000-2012 –> 2013-2019 6.073219 74347.6458
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 22530.1758 2.657588 2000-2012 –> 2013-2019 5.777064 72541.1127

6.2 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

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

rm(eras_era, eras_forward, eras_backward)

6.3 Cant coeffcients

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

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

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

6.4 Write files

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


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

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

7 Model diagnotics

7.1 Selection criterion vs predictors

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

7.1.1 All models

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

Version Author Date
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17

7.1.2 Best models

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

Version Author Date
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17

7.2 RMSE correlation between eras

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

7.2.1 All models

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

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

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

7.2.2 Best models

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

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

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

7.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 7 10 8 8 4 4 8
(26,26.5] 10 8 9 7 4 4 6
(26.5,26.75] 7 3 8 9 7 4 10
(26.75,27] 6 5 6 9 5 8 10
(27,27.25] 6 5 5 9 6 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 5 9 10
(28.15,28.2] 8 4 9 6 5 7 10
(28.2, Inf] 9 3 9 6 10 5 6
total 99.00 64.00 105.00 109.00 93.00 95.00 110.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 10 7 7 5 5 8
(26,26.5] 9 9 9 7 5 2 7
(26.5,26.75] 7 10 7 7 3 3 10
(26.75,27] 6 4 6 10 5 7 10
(27,27.25] 6 6 6 8 6 8 10
(27.25,27.5] 8 4 8 7 10 4 8
(27.5,27.75] 8 3 9 7 4 10 7
(27.75,27.85] 7 7 7 8 6 10 5
(27.85,27.95] 5 3 7 7 10 10 5
(27.95,28.05] 6 3 7 8 10 9 5
(28.05,28.1] 7 5 7 10 7 6 7
(28.1,28.15] 6 5 8 10 5 4 10
(28.15,28.2] 7 3 7 7 10 3 10
(28.2, Inf] 5 3 7 10 10 5 7
total 95.00 75.00 102.00 113.00 96.00 86.00 109.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 8 6 6 6 10 5 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 9 7 9 7 3 6
(26.75,27] 9 7 9 8 4 4 7
(27,27.25] 9 5 9 7 7 7 5
(27.25,27.5] 10 4 10 9 4 5 5
(27.5,27.75] 10 3 10 9 5 5 5
(27.75,27.85] 7 5 7 8 5 10 8
(27.85,27.95] 7 9 7 9 2 7 7
(27.95,28.05] 10 4 10 9 5 5 4
(28.05,28.1] 10 4 10 9 5 5 4
(28.1, Inf] 9 7 10 7 3 6 6
total 102.00 68.00 101.00 98.00 67.00 68.00 73.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 8 8 7 6 8 4 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 7 7 9 9 3 6
(26.75,27] 10 7 10 7 3 3 7
(27,27.25] 9 3 9 7 8 7 6
(27.25,27.5] 6 3 8 7 9 10 5
(27.5,27.75] 7 3 7 6 9 9 7
(27.75,27.85] 4 4 5 9 5 10 10
(27.85,27.95] 5 6 5 8 5 10 9
(27.95,28.05] 9 6 9 8 5 6 6
(28.05,28.1] 10 5 10 7 7 5 3
(28.1, Inf] 10 5 10 7 7 5 3
total 91.00 62.00 93.00 89.00 85.00 78.00 78.00

7.4 RMSE alternatives

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

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

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

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

7.5 Residual patterns

7.5.1 Fitted vs actual models

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

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

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

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

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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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85a5ed2 jens-daniel-mueller 2021-03-10
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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"
    )
  )

Version Author Date
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85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
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4bc00ea jens-daniel-mueller 2021-02-24

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

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

Version Author Date
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
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27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

7.5.3 By model domain

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

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

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

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[[2]]

Version Author Date
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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)

Version Author Date
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85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24

7.5.5 Latitudinal offset

# calculate residual offset for adjacent eras
lat_residual_offset <- lat_residual  %>%
  select(basin, gamma_slab, era, lat_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(basin, gamma_slab, lat_grid) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> "),
         .resid_mean_offset = .resid_mean - lag(.resid_mean)
         ) %>% 
  ungroup() %>% 
  select(-era) %>% 
  drop_na() %>% 
  filter(eras != paste(unique(lat_residual$era)[1],
                       unique(lat_residual$era)[3],
                       sep = " --> "))

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

Version Author Date
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85a5ed2 jens-daniel-mueller 2021-03-10
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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