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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 %>% 
  # 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()

GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all
)

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")

GLODAP_glanced <- GLODAP_nested_lm_fit %>%
  select(-c(data, fit, tidied, augmented)) %>%
  unnest(glanced)

GLODAP_glanced <- GLODAP_glanced %>% 
  rename(n_predictors = n)

# GLODAP_glanced <- GLODAP_glanced %>% 
#   mutate(rmse = sqrt ( (sigma * df.residual) / nobs) )


GLODAP_tidy <- GLODAP_nested_lm_fit %>%
  select(-c(data, fit, glanced, augmented)) %>%
  unnest(tidied)

GLODAP_augmented <- GLODAP_nested_lm_fit %>% 
  select(-c(data, fit, tidied, glanced)) %>% 
  unnest(augmented) 

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

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

GLODAP_glanced <- full_join(GLODAP_glanced, GLODAP_glanced_rmse)
rm(GLODAP_glanced_rmse)


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


# # find max predictor correlation
# i_cor_max <- GLODAP_basin_era_slab %>%
#   select(!!!syms(str_split(i_predictors, " ",
#                            simplify = TRUE))) %>%
#   correlate(quiet = TRUE) %>%
#   select(-term) %>%
#   abs() %>%
#   max(na.rm = TRUE)
# 
# 
# # calculate maximum residual
# i_resid_max <- max(abs(i_lm_fit$residuals))
# 

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

5 Prepare coeffcients

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

5.1 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 ~ sal + aou + nitrate + phosphate + phosphate_star 489.7955 6.901466 1982-1999 –> 2000-2012 12.807857 1034.161
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 496.1520 7.217422 1982-1999 –> 2000-2012 13.267957 1044.520
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 491.0353 6.961989 1982-1999 –> 2000-2012 12.846097 1034.773
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 491.1464 6.967437 1982-1999 –> 2000-2012 12.847216 1034.762
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 494.5456 7.136236 1982-1999 –> 2000-2012 13.160079 1042.180
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 491.6922 6.994268 1982-1999 –> 2000-2012 12.863175 1035.001
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 495.8135 7.200241 1982-1999 –> 2000-2012 13.043712 1038.401
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 495.5970 7.189271 1982-1999 –> 2000-2012 13.202551 1042.940
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 495.4755 7.183121 1982-1999 –> 2000-2012 13.175607 1042.243
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 495.0781 7.163047 1982-1999 –> 2000-2012 13.117181 1040.780
Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 571.2704 6.945624 2000-2012 –> 2013-2019 14.156964 1067.303
Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 573.6845 7.047372 2000-2012 –> 2013-2019 13.948838 1063.480
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 570.6484 6.919649 2000-2012 –> 2013-2019 14.137071 1066.800
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 573.8101 7.052707 2000-2012 –> 2013-2019 14.014696 1064.845
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 573.8171 7.053006 2000-2012 –> 2013-2019 14.020443 1064.964
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 568.9683 6.849967 2000-2012 –> 2013-2019 13.805204 1059.866
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 573.8865 7.055954 2000-2012 –> 2013-2019 14.050221 1065.579
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 570.7391 6.923432 2000-2012 –> 2013-2019 14.112703 1066.336
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 570.4927 6.913161 2000-2012 –> 2013-2019 14.096281 1065.968
Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 569.7742 6.883305 2000-2012 –> 2013-2019 14.046352 1064.852
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4705.7150 5.461580 1982-1999 –> 2000-2012 10.349824 7819.671
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4707.5016 5.460806 1982-1999 –> 2000-2012 10.328188 7819.044
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4704.3895 5.449533 1982-1999 –> 2000-2012 10.333577 7819.459
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4744.1579 5.595354 1982-1999 –> 2000-2012 10.501369 7863.859
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4763.7126 5.668480 1982-1999 –> 2000-2012 10.600656 7888.902
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4764.8621 5.672809 1982-1999 –> 2000-2012 10.485241 7864.688
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4742.2156 5.595568 1982-1999 –> 2000-2012 10.501616 7859.924
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4692.1270 5.405341 1982-1999 –> 2000-2012 10.227093 7793.949
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4740.4397 5.581556 1982-1999 –> 2000-2012 10.468166 7856.051
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4758.4291 5.648629 1982-1999 –> 2000-2012 10.561557 7879.584
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 1522.5299 7.048254 2000-2012 –> 2013-2019 12.509834 6228.245
Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1524.1859 7.042845 2000-2012 –> 2013-2019 12.503651 6231.688
Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1503.0259 6.717929 2000-2012 –> 2013-2019 12.167462 6207.415
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1504.6337 6.742082 2000-2012 –> 2013-2019 12.337436 6248.792
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1504.6923 6.742965 2000-2012 –> 2013-2019 12.411445 6268.405
Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1505.9136 6.761371 2000-2012 –> 2013-2019 12.542132 6299.165
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 1522.4434 7.046893 2000-2012 –> 2013-2019 12.642461 6264.659
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1524.4247 7.046599 2000-2012 –> 2013-2019 12.451940 6216.552
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1524.1474 7.042239 2000-2012 –> 2013-2019 12.623796 6264.587
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1524.1731 7.042643 2000-2012 –> 2013-2019 12.691271 6282.602
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6856.3345 5.218068 1982-1999 –> 2000-2012 9.303712 11098.656
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6866.5829 5.242126 1982-1999 –> 2000-2012 9.121238 11031.302
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6860.1244 5.226952 1982-1999 –> 2000-2012 9.322765 11106.165
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6864.4659 5.237147 1982-1999 –> 2000-2012 9.290792 11095.024
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6856.9711 5.219559 1982-1999 –> 2000-2012 9.291792 11094.374
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 6865.1031 5.243349 1982-1999 –> 2000-2012 9.329778 11105.711
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6865.4707 5.239509 1982-1999 –> 2000-2012 9.282844 11092.219
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6879.3728 5.272305 1982-1999 –> 2000-2012 9.204879 11064.569
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 6877.8338 5.273396 1982-1999 –> 2000-2012 9.218245 11065.692
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6876.4041 5.265284 1982-1999 –> 2000-2012 9.201894 11063.135
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1620.3433 7.380291 2000-2012 –> 2013-2019 12.611754 8482.390
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1620.1050 7.376551 2000-2012 –> 2013-2019 12.594619 8476.440
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1619.4122 7.365686 2000-2012 –> 2013-2019 12.585245 8476.383
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 1625.3831 7.491668 2000-2012 –> 2013-2019 12.773279 8506.685
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1622.6733 7.416970 2000-2012 –> 2013-2019 12.689274 8502.046
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 1624.8872 7.483768 2000-2012 –> 2013-2019 12.757489 8502.858
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1627.3813 7.491640 2000-2012 –> 2013-2019 12.756794 8503.731
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1626.8701 7.483495 2000-2012 –> 2013-2019 12.756141 8506.387
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 1624.2958 7.474357 2000-2012 –> 2013-2019 12.749889 8503.032
Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1626.2824 7.474144 2000-2012 –> 2013-2019 12.749324 8506.870
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8011.2738 5.382671 1982-1999 –> 2000-2012 10.245473 13504.284
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 8036.6554 5.435928 1982-1999 –> 2000-2012 10.290717 13526.655
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8009.3144 5.378582 1982-1999 –> 2000-2012 10.232802 13499.099
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8012.1810 5.384566 1982-1999 –> 2000-2012 10.221549 13495.470
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8008.4492 5.376777 1982-1999 –> 2000-2012 10.232040 13498.627
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 8023.3133 5.407867 1982-1999 –> 2000-2012 10.259738 13512.214
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 8039.0057 5.440886 1982-1999 –> 2000-2012 10.289409 13526.647
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 7999.2555 5.357636 1982-1999 –> 2000-2012 10.245974 13501.830
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 8039.0141 5.440904 1982-1999 –> 2000-2012 10.288834 13526.432
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 8037.0803 5.441043 1982-1999 –> 2000-2012 10.300335 13526.772
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2310.6002 6.035075 2000-2012 –> 2013-2019 11.417746 10321.874
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2307.1390 6.005890 2000-2012 –> 2013-2019 11.384472 10316.453
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2309.6341 6.026915 2000-2012 –> 2013-2019 11.411480 10321.815
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2306.9977 6.004702 2000-2012 –> 2013-2019 11.381479 10315.447
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2309.7938 6.028263 2000-2012 –> 2013-2019 11.436131 10333.107
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2305.0570 5.988403 2000-2012 –> 2013-2019 11.429289 10344.063
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2305.1236 5.988961 2000-2012 –> 2013-2019 11.346597 10304.379
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2305.2358 6.006705 2000-2012 –> 2013-2019 11.449134 10342.973
Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2304.6548 5.985030 2000-2012 –> 2013-2019 11.425934 10343.669
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2305.0996 6.005559 2000-2012 –> 2013-2019 11.446717 10342.234
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 15013.2836 5.428459 1982-1999 –> 2000-2012 10.895441 28788.658
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 14988.7580 5.400919 1982-1999 –> 2000-2012 10.779965 28692.557
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14927.1551 5.332359 1982-1999 –> 2000-2012 10.674002 28600.154
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14961.9272 5.370951 1982-1999 –> 2000-2012 10.684161 28611.368
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14932.4154 5.338179 1982-1999 –> 2000-2012 10.678097 28603.988
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 15079.9581 5.506324 1982-1999 –> 2000-2012 10.904833 28797.699
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 14959.8284 5.368613 1982-1999 –> 2000-2012 10.851333 28747.891
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14978.0024 5.388886 1982-1999 –> 2000-2012 10.799945 28707.993
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 14938.2903 5.344687 1982-1999 –> 2000-2012 10.813132 28714.845
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14991.8040 5.404332 1982-1999 –> 2000-2012 10.822723 28727.771
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4114.9626 7.420420 2000-2012 –> 2013-2019 12.848879 19128.246
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4129.6842 7.512168 2000-2012 –> 2013-2019 12.913087 19118.442
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4127.3570 7.497589 2000-2012 –> 2013-2019 12.829948 19054.512
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4116.4206 7.429456 2000-2012 –> 2013-2019 12.877562 19147.125
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4124.9608 7.482608 2000-2012 –> 2013-2019 12.853558 19086.888
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4127.3341 7.497446 2000-2012 –> 2013-2019 12.835625 19059.749
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4116.3399 7.428956 2000-2012 –> 2013-2019 12.901783 19168.875
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4110.2762 7.391449 2000-2012 –> 2013-2019 12.780334 19088.279
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4127.6314 7.499307 2000-2012 –> 2013-2019 12.843994 19065.922
Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4111.9578 7.401831 2000-2012 –> 2013-2019 12.806163 19103.762
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16252.0546 4.451293 1982-1999 –> 2000-2012 9.089033 30529.845
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 16172.2556 4.388044 1982-1999 –> 2000-2012 9.019600 30443.601
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16133.7447 4.357842 1982-1999 –> 2000-2012 9.028179 30445.365
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 16201.7599 4.412906 1982-1999 –> 2000-2012 9.143955 30573.763
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 16176.4811 4.391370 1982-1999 –> 2000-2012 9.116691 30544.633
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 16199.7034 4.409697 1982-1999 –> 2000-2012 9.138929 30571.851
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16175.8588 4.390880 1982-1999 –> 2000-2012 9.153335 30581.819
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16143.5772 4.365533 1982-1999 –> 2000-2012 9.016608 30435.235
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 16178.8019 4.394774 1982-1999 –> 2000-2012 9.152330 30577.791
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16179.1581 4.393479 1982-1999 –> 2000-2012 9.147065 30576.115
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4602.4522 7.428170 2000-2012 –> 2013-2019 11.879463 20854.507
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4605.5253 7.445225 2000-2012 –> 2013-2019 11.912517 20877.586
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4606.5251 7.450782 2000-2012 –> 2013-2019 11.838826 20778.781
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4614.4165 7.494790 2000-2012 –> 2013-2019 11.852632 20748.161
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 4612.9110 7.497556 2000-2012 –> 2013-2019 11.910463 20814.671
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4598.2758 7.405055 2000-2012 –> 2013-2019 11.796425 20774.757
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4612.0371 7.481493 2000-2012 –> 2013-2019 11.891190 20811.740
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4610.5744 7.473331 2000-2012 –> 2013-2019 11.838864 20754.152
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4617.3796 7.511381 2000-2012 –> 2013-2019 11.904860 20796.538
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4590.9747 7.364817 2000-2012 –> 2013-2019 11.890186 20935.058
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 18396.3108 4.371045 1982-1999 –> 2000-2012 9.014373 32183.584
Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 18441.3120 4.403508 1982-1999 –> 2000-2012 9.078354 32258.122
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18386.2516 4.364128 1982-1999 –> 2000-2012 9.029025 32195.129
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 18372.7510 4.354863 1982-1999 –> 2000-2012 9.019904 32181.773
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18397.8643 4.372114 1982-1999 –> 2000-2012 9.061612 32231.263
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18377.2112 4.357921 1982-1999 –> 2000-2012 9.035232 32198.478
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18394.5904 4.369861 1982-1999 –> 2000-2012 9.015257 32183.939
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 18435.2976 4.397956 1982-1999 –> 2000-2012 9.076851 32258.145
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 18441.5006 4.402253 1982-1999 –> 2000-2012 9.077089 32260.301
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 18402.1881 4.375091 1982-1999 –> 2000-2012 9.034563 32205.641
Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 5269.9493 6.462587 2000-2012 –> 2013-2019 10.833632 23666.260
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5281.6076 6.509849 2000-2012 –> 2013-2019 10.873977 23667.859
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 5281.1949 6.508170 2000-2012 –> 2013-2019 10.863032 23653.946
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5282.7576 6.514530 2000-2012 –> 2013-2019 10.886643 23680.622
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5281.0220 6.507467 2000-2012 –> 2013-2019 10.865388 23658.233
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5270.9255 6.466532 2000-2012 –> 2013-2019 10.836393 23665.516
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5278.5590 6.497457 2000-2012 –> 2013-2019 10.895413 23713.857
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 5279.7204 6.510308 2000-2012 –> 2013-2019 10.912612 23719.296
Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5281.6669 6.510090 2000-2012 –> 2013-2019 10.912342 23723.167
Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5272.0027 6.470887 2000-2012 –> 2013-2019 10.845978 23674.191
Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 12600.4703 4.663654 1982-1999 –> 2000-2012 9.435526 19245.720
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12575.9729 4.636874 1982-1999 –> 2000-2012 9.367800 19202.057
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 12598.8411 4.664060 1982-1999 –> 2000-2012 9.419511 19234.425
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 12599.7197 4.662831 1982-1999 –> 2000-2012 9.417270 19236.830
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 12576.0306 4.636937 1982-1999 –> 2000-2012 9.376109 19205.988
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 12600.0407 4.663183 1982-1999 –> 2000-2012 9.414587 19235.731
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12599.3007 4.662372 1982-1999 –> 2000-2012 9.425139 19240.304
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12595.1328 4.657806 1982-1999 –> 2000-2012 9.431622 19241.289
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 12585.9960 4.647812 1982-1999 –> 2000-2012 9.434206 19238.004
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 12591.5108 4.653842 1982-1999 –> 2000-2012 9.431782 19239.587
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3254.6978 7.716381 2000-2012 –> 2013-2019 12.353255 15830.671
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3245.7622 7.643066 2000-2012 –> 2013-2019 12.380697 15913.182
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3245.7869 7.643268 2000-2012 –> 2013-2019 12.306099 15845.507
Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 3254.4356 7.714219 2000-2012 –> 2013-2019 12.351157 15830.466
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 3248.3539 7.664258 2000-2012 –> 2013-2019 12.327441 15848.395
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3245.9811 7.644854 2000-2012 –> 2013-2019 12.309105 15846.996
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3248.4642 7.665162 2000-2012 –> 2013-2019 12.327533 15847.765
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3255.4395 7.722498 2000-2012 –> 2013-2019 12.380304 15850.572
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3253.1863 7.703930 2000-2012 –> 2013-2019 12.351742 15839.182
Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3255.5008 7.723003 2000-2012 –> 2013-2019 12.376845 15847.012
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 25857.0159 4.974593 1982-1999 –> 2000-2012 9.088464 38858.876
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 25747.9224 4.911509 1982-1999 –> 2000-2012 9.075460 38805.250
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 25855.3178 4.974769 1982-1999 –> 2000-2012 9.139290 38911.272
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 26188.5093 5.171299 1982-1999 –> 2000-2012 9.358673 39271.551
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 26205.4092 5.182745 1982-1999 –> 2000-2012 9.400108 39319.161
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 25753.7099 4.914835 1982-1999 –> 2000-2012 9.089378 38822.682
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 25747.2525 4.911124 1982-1999 –> 2000-2012 9.075467 38805.011
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 25864.1748 4.978761 1982-1999 –> 2000-2012 9.153894 38933.795
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 25868.6155 4.982514 1982-1999 –> 2000-2012 9.292880 39082.358
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 25751.9810 4.913841 1982-1999 –> 2000-2012 9.084490 38816.675
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 8419.7047 5.417747 2000-2012 –> 2013-2019 10.392340 34276.721
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8392.1376 5.362794 2000-2012 –> 2013-2019 10.274303 34140.060
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 8429.4810 5.441394 2000-2012 –> 2013-2019 10.416163 34284.799
Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 8534.4466 5.652592 2000-2012 –> 2013-2019 10.823891 34722.956
Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 8549.9583 5.689318 2000-2012 –> 2013-2019 10.872063 34755.368
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 8396.2185 5.370894 2000-2012 –> 2013-2019 10.285729 34149.928
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8393.1634 5.364829 2000-2012 –> 2013-2019 10.275953 34140.416
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 8366.6459 5.312474 2000-2012 –> 2013-2019 10.291236 34230.821
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 8398.1471 5.378703 2000-2012 –> 2013-2019 10.361217 34266.763
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8396.4962 5.371446 2000-2012 –> 2013-2019 10.285287 34148.477
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 30944.1547 5.955215 1982-1999 –> 2000-2012 10.047152 48966.586
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 30558.6275 5.722130 1982-1999 –> 2000-2012 9.609778 48254.927
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 30582.1535 5.736088 1982-1999 –> 2000-2012 9.624880 48280.326
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 30585.4841 5.739255 1982-1999 –> 2000-2012 9.628448 48282.312
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 30662.5997 5.784076 1982-1999 –> 2000-2012 9.729408 48452.690
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 30692.0522 5.802947 1982-1999 –> 2000-2012 9.748402 48480.342
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 30728.9471 5.823956 1982-1999 –> 2000-2012 9.916769 48752.740
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 30635.4768 5.767852 1982-1999 –> 2000-2012 9.681437 48374.119
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 30586.4468 5.738639 1982-1999 –> 2000-2012 9.627826 48285.265
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 30614.3165 5.755226 1982-1999 –> 2000-2012 9.657068 48333.823
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 8591.3969 6.520771 2000-2012 –> 2013-2019 12.242901 39150.024
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8601.5383 6.546216 2000-2012 –> 2013-2019 12.282305 39183.692
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 8621.3808 6.601357 2000-2012 –> 2013-2019 12.340613 39206.865
Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 8640.3910 6.644621 2000-2012 –> 2013-2019 12.428697 39302.991
Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 8674.0666 6.736281 2000-2012 –> 2013-2019 12.539228 39366.119
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8565.3323 6.455828 2000-2012 –> 2013-2019 12.279784 39294.279
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 8636.3405 6.634293 2000-2012 –> 2013-2019 12.402145 39271.817
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8613.4729 6.576288 2000-2012 –> 2013-2019 12.314927 39199.920
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 8579.4878 6.491018 2000-2012 –> 2013-2019 12.472280 39565.786
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8630.7824 6.620148 2000-2012 –> 2013-2019 12.375374 39245.099
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 23957.9176 6.114213 1982-1999 –> 2000-2012 9.978572 36229.647
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 23705.2294 5.909336 1982-1999 –> 2000-2012 9.711211 35904.841
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 23957.8665 6.115820 1982-1999 –> 2000-2012 9.983778 36231.714
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 23912.2472 6.076665 1982-1999 –> 2000-2012 9.944508 36187.962
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 23964.5696 6.119701 1982-1999 –> 2000-2012 9.978328 36229.732
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 23945.9268 6.104332 1982-1999 –> 2000-2012 9.971979 36221.418
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 23954.3432 6.111266 1982-1999 –> 2000-2012 9.976509 36227.084
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 23816.5903 5.998766 1982-1999 –> 2000-2012 9.913766 36145.917
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 23814.5904 5.998766 1982-1999 –> 2000-2012 9.915482 36143.856
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 23699.8007 5.905011 1982-1999 –> 2000-2012 9.809069 36016.746
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 6952.0163 6.953530 2000-2012 –> 2013-2019 13.117268 30969.745
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6968.8141 7.010296 2000-2012 –> 2013-2019 13.112118 30911.691
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6969.0149 7.010978 2000-2012 –> 2013-2019 13.123214 30924.535
Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6961.9182 6.986937 2000-2012 –> 2013-2019 13.101770 30920.588
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6863.6739 6.662463 2000-2012 –> 2013-2019 12.571799 30568.903
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6961.7096 6.986231 2000-2012 –> 2013-2019 13.105932 30926.279
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6969.2468 7.011765 2000-2012 –> 2013-2019 13.116097 30915.174
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6925.5961 6.865174 2000-2012 –> 2013-2019 12.863940 30742.186
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 6941.7473 6.925755 2000-2012 –> 2013-2019 12.924521 30756.338
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6903.9213 6.793526 2000-2012 –> 2013-2019 12.698537 30603.722
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17989.1513 6.644854 1982-1999 –> 2000-2012 10.333901 26317.735
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 17979.3331 6.632841 1982-1999 –> 2000-2012 10.315142 26302.330
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 17988.2361 6.646183 1982-1999 –> 2000-2012 10.339960 26318.731
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17981.7378 6.635782 1982-1999 –> 2000-2012 10.300604 26290.215
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17987.4536 6.642775 1982-1999 –> 2000-2012 10.330540 26314.977
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 17990.2452 6.648644 1982-1999 –> 2000-2012 10.338328 26317.356
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17979.9770 6.633629 1982-1999 –> 2000-2012 10.307143 26295.683
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 17987.4803 6.645257 1982-1999 –> 2000-2012 10.340518 26319.201
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17983.1287 6.637483 1982-1999 –> 2000-2012 10.301195 26290.680
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 17982.8134 6.639544 1982-1999 –> 2000-2012 10.314827 26297.989
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5023.9452 8.407980 2000-2012 –> 2013-2019 15.052834 23013.096
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4984.8027 8.178101 2000-2012 –> 2013-2019 14.810943 22964.136
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5010.9735 8.331092 2000-2012 –> 2013-2019 14.973868 22998.427
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 5025.7532 8.430686 2000-2012 –> 2013-2019 15.075943 23013.234
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5027.7514 8.430675 2000-2012 –> 2013-2019 15.068158 23010.880
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4976.0755 8.127710 2000-2012 –> 2013-2019 14.822795 23006.089
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 4983.1443 8.180080 2000-2012 –> 2013-2019 14.875218 23011.201
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4975.6929 8.125508 2000-2012 –> 2013-2019 14.798703 22987.937
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5013.0991 8.355469 2000-2012 –> 2013-2019 15.060287 23048.995
Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5013.8519 8.348093 2000-2012 –> 2013-2019 15.035359 23037.525
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 6195.1024 3.547214 1982-1999 –> 2000-2012 7.686954 9355.348
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6193.1700 3.544237 1982-1999 –> 2000-2012 7.707813 9359.776
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6194.0992 3.545668 1982-1999 –> 2000-2012 7.690879 9355.808
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6186.1261 3.533409 1982-1999 –> 2000-2012 7.694024 9351.944
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 6179.8447 3.523780 1982-1999 –> 2000-2012 7.673626 9342.791
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6198.0464 3.551753 1982-1999 –> 2000-2012 7.713679 9364.214
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6204.4239 3.561607 1982-1999 –> 2000-2012 7.694376 9362.802
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6202.3756 3.558439 1982-1999 –> 2000-2012 7.694880 9361.738
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 6200.7049 3.558948 1982-1999 –> 2000-2012 7.715330 9363.395
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6195.2620 3.547460 1982-1999 –> 2000-2012 7.700246 9358.993
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1015.5299 2.783801 2000-2012 –> 2013-2019 6.328038 7208.700
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 1013.7525 2.771759 2000-2012 –> 2013-2019 6.317427 7207.852
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1014.4078 2.776193 2000-2012 –> 2013-2019 6.373325 7241.680
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 1011.8758 2.772593 2000-2012 –> 2013-2019 6.318291 7203.994
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1013.7150 2.771506 2000-2012 –> 2013-2019 6.304915 7199.841
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 1011.5535 2.756933 2000-2012 –> 2013-2019 6.280713 7191.398
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1013.9777 2.773282 2000-2012 –> 2013-2019 6.337780 7220.270
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1013.5410 2.770329 2000-2012 –> 2013-2019 6.357685 7234.547
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 1011.7349 2.771640 2000-2012 –> 2013-2019 6.359878 7231.307
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1012.2665 2.761732 2000-2012 –> 2013-2019 6.313485 7210.313
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 13074.5988 3.203518 1982-1999 –> 2000-2012 6.333156 18807.317
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 12821.0924 3.046855 1982-1999 –> 2000-2012 6.195966 18567.668
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12818.6609 3.045390 1982-1999 –> 2000-2012 6.305506 18642.628
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 12827.0411 3.051649 1982-1999 –> 2000-2012 6.226811 18590.022
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 12826.6558 3.051416 1982-1999 –> 2000-2012 6.324743 18657.657
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 12828.1081 3.051085 1982-1999 –> 2000-2012 6.187020 18565.316
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 12828.8932 3.051559 1982-1999 –> 2000-2012 6.223436 18591.561
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 12827.5168 3.050729 1982-1999 –> 2000-2012 6.256676 18614.052
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12844.3443 3.060899 1982-1999 –> 2000-2012 6.315086 18664.245
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13064.1580 3.196909 1982-1999 –> 2000-2012 6.338973 18805.728
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1725.5443 2.890878 2000-2012 –> 2013-2019 5.937733 14546.637
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1723.8977 2.883988 2000-2012 –> 2013-2019 5.929378 14542.559
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1721.9891 2.884370 2000-2012 –> 2013-2019 5.935786 14548.645
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1718.2103 2.860314 2000-2012 –> 2013-2019 5.911400 14546.318
Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1718.7620 2.862602 2000-2012 –> 2013-2019 5.929777 14573.462
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1716.7714 2.862641 2000-2012 –> 2013-2019 5.934837 14577.741
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1724.8511 2.887976 2000-2012 –> 2013-2019 5.939535 14553.744
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1723.9837 2.884348 2000-2012 –> 2013-2019 5.935076 14551.501
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1717.3660 2.856816 2000-2012 –> 2013-2019 5.929672 14581.422
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1718.2512 2.860484 2000-2012 –> 2013-2019 5.921383 14562.595
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 29165.6039 5.952614 1982-1999 –> 2000-2012 17.829783 41895.959
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 29643.2481 6.273330 1982-1999 –> 2000-2012 17.844829 42288.449
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29241.7664 6.002633 1982-1999 –> 2000-2012 17.973264 41997.722
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 29256.3307 6.012245 1982-1999 –> 2000-2012 18.011336 42020.042
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 29394.3003 6.104074 1982-1999 –> 2000-2012 18.610577 42293.282
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 29819.7552 6.396171 1982-1999 –> 2000-2012 18.035387 42484.014
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29876.4014 6.436101 1982-1999 –> 2000-2012 18.104831 42548.931
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 29332.8161 6.062980 1982-1999 –> 2000-2012 18.092030 42104.671
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 30185.2033 6.658204 1982-1999 –> 2000-2012 18.461982 42895.315
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29901.7522 6.454052 1982-1999 –> 2000-2012 18.137058 42578.275
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 16967.9794 4.536916 2000-2012 –> 2013-2019 10.489530 46133.583
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18061.7234 5.481318 2000-2012 –> 2013-2019 11.754648 47704.971
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 17393.4918 4.884956 2000-2012 –> 2013-2019 10.990263 46787.630
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17274.7703 4.784056 2000-2012 –> 2013-2019 10.786689 46516.537
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17300.2964 4.805216 2000-2012 –> 2013-2019 10.817461 46556.627
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 17387.3280 4.878066 2000-2012 –> 2013-2019 10.982141 46781.628
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 18302.7503 5.714558 2000-2012 –> 2013-2019 12.110729 48122.506
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17462.8168 4.942149 2000-2012 –> 2013-2019 11.005129 46795.633
Indo-Pacific (-Inf,26] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18020.2290 5.442136 2000-2012 –> 2013-2019 12.065652 48157.889
Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 17972.0156 5.396961 2000-2012 –> 2013-2019 12.079369 48190.247
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 18684.2488 4.849393 1982-1999 –> 2000-2012 12.345384 32548.209
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 19013.3895 5.114211 1982-1999 –> 2000-2012 12.978506 33068.838
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18732.4939 4.887104 1982-1999 –> 2000-2012 12.525119 32672.169
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 18642.7033 4.817151 1982-1999 –> 2000-2012 12.456025 32582.832
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 18662.5790 4.832549 1982-1999 –> 2000-2012 12.553273 32645.702
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 18977.2860 5.083018 1982-1999 –> 2000-2012 12.930845 33026.279
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 18769.8605 4.916514 1982-1999 –> 2000-2012 12.737700 32805.136
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18811.0040 4.949101 1982-1999 –> 2000-2012 12.861671 32893.140
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 18668.3781 4.837051 1982-1999 –> 2000-2012 12.585523 32665.974
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18812.0380 4.949923 1982-1999 –> 2000-2012 12.881883 32904.047
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8911.6526 4.130189 2000-2012 –> 2013-2019 8.979582 27595.901
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8835.1781 4.030688 2000-2012 –> 2013-2019 8.917793 27567.672
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8967.7711 4.204764 2000-2012 –> 2013-2019 9.021915 27610.474
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8996.1956 4.243048 2000-2012 –> 2013-2019 9.075598 27658.775
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 8921.0302 4.142558 2000-2012 –> 2013-2019 9.059072 27690.891
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8961.0191 4.195720 2000-2012 –> 2013-2019 9.144821 27772.023
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9001.5772 4.250336 2000-2012 –> 2013-2019 9.087387 27669.955
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8915.7219 4.135552 2000-2012 –> 2013-2019 9.056822 27691.604
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8961.0964 4.195824 2000-2012 –> 2013-2019 9.145746 27773.134
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 8959.0966 4.195824 2000-2012 –> 2013-2019 9.150514 27775.130
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 20765.8498 5.808327 1982-1999 –> 2000-2012 12.090369 33791.357
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 20759.4410 5.800853 1982-1999 –> 2000-2012 12.054660 33768.948
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 20305.4559 5.411260 1982-1999 –> 2000-2012 11.271803 33055.430
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 20611.1420 5.672335 1982-1999 –> 2000-2012 12.087296 33720.317
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 20611.4869 5.670897 1982-1999 –> 2000-2012 11.901538 33606.164
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 20385.3753 5.477894 1982-1999 –> 2000-2012 11.550295 33277.255
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20437.6519 5.521924 1982-1999 –> 2000-2012 11.709021 33404.304
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 20607.9849 5.667857 1982-1999 –> 2000-2012 12.057955 33703.643
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20444.0199 5.527312 1982-1999 –> 2000-2012 11.750107 33433.662
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 20722.9285 5.768508 1982-1999 –> 2000-2012 11.974173 33701.556
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 8294.1648 4.978989 2000-2012 –> 2013-2019 10.779842 29053.606
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 8248.0448 4.895823 2000-2012 –> 2013-2019 10.307083 28553.501
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 8368.7834 5.120286 2000-2012 –> 2013-2019 10.792621 28979.925
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 8324.5196 5.034496 2000-2012 –> 2013-2019 10.705393 28936.007
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 8272.0789 4.938988 2000-2012 –> 2013-2019 10.416882 28657.454
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8291.2393 4.973672 2000-2012 –> 2013-2019 10.495596 28728.891
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 8365.9647 5.111282 2000-2012 –> 2013-2019 10.779139 28973.950
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8292.2178 4.975450 2000-2012 –> 2013-2019 10.502761 28736.238
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 8294.6731 4.983552 2000-2012 –> 2013-2019 10.559708 28794.144
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8273.4721 4.941502 2000-2012 –> 2013-2019 10.460892 28708.127
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 30925.4096 5.525180 1982-1999 –> 2000-2012 12.581190 52098.472
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 30793.8708 5.451019 1982-1999 –> 2000-2012 12.477020 51942.192
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 31021.2196 5.579009 1982-1999 –> 2000-2012 12.698265 52250.267
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 30821.0196 5.466015 1982-1999 –> 2000-2012 12.458943 51939.739
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 30966.6582 5.547168 1982-1999 –> 2000-2012 12.584590 52125.170
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 30945.6631 5.535395 1982-1999 –> 2000-2012 12.573541 52104.820
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 30753.8071 5.428964 1982-1999 –> 2000-2012 12.459585 51906.254
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 30894.9992 5.507089 1982-1999 –> 2000-2012 12.665790 52160.714
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 30948.5742 5.538147 1982-1999 –> 2000-2012 12.603547 52129.980
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 30841.7122 5.477472 1982-1999 –> 2000-2012 12.462776 51953.587
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 13576.5245 4.406959 2000-2012 –> 2013-2019 9.932139 44501.934
Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 13553.6637 4.383580 2000-2012 –> 2013-2019 9.834599 44347.534
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 13533.2085 4.364438 2000-2012 –> 2013-2019 9.830453 44354.228
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 13678.7104 4.502440 2000-2012 –> 2013-2019 10.127855 44783.787
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13757.3204 4.578805 2000-2012 –> 2013-2019 10.114201 44702.983
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13808.9882 4.629702 2000-2012 –> 2013-2019 10.156203 44738.760
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 13522.7238 4.354659 2000-2012 –> 2013-2019 9.783623 44276.531
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13692.9400 4.516169 2000-2012 –> 2013-2019 10.023257 44587.939
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 13756.5281 4.579988 2000-2012 –> 2013-2019 10.118135 44705.102
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13758.4153 4.579878 2000-2012 –> 2013-2019 10.057350 44600.128
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 40371.1752 5.121705 1982-1999 –> 2000-2012 11.805717 65631.518
Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 40157.2800 5.038754 1982-1999 –> 2000-2012 11.720812 65417.398
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 40292.6264 5.091368 1982-1999 –> 2000-2012 11.838390 65624.353
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 40078.3204 5.008753 1982-1999 –> 2000-2012 11.692533 65340.398
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 39790.5700 4.900925 1982-1999 –> 2000-2012 11.647917 65124.262
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 39754.9522 4.887741 1982-1999 –> 2000-2012 11.456942 64885.477
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 39837.3387 4.918292 1982-1999 –> 2000-2012 11.799717 65321.130
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 39764.4640 4.891258 1982-1999 –> 2000-2012 11.468504 64904.300
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 40073.4281 5.007658 1982-1999 –> 2000-2012 11.595081 65223.027
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 39585.0765 4.825345 1982-1999 –> 2000-2012 11.410953 64734.579
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 18260.5503 4.179970 2000-2012 –> 2013-2019 9.188724 58338.871
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18226.2355 4.157633 2000-2012 –> 2013-2019 9.078207 58069.709
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 18234.1511 4.164075 2000-2012 –> 2013-2019 9.084773 58075.956
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 18185.1610 4.131051 2000-2012 –> 2013-2019 9.031977 57975.731
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 18210.8090 4.147629 2000-2012 –> 2013-2019 9.035370 57965.761
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 18211.1812 4.147870 2000-2012 –> 2013-2019 9.066162 58048.520
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18266.8121 4.184060 2000-2012 –> 2013-2019 9.158629 58254.586
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18258.3643 4.178544 2000-2012 –> 2013-2019 9.142160 58216.992
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 18236.7435 4.164460 2000-2012 –> 2013-2019 9.055719 58001.208
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 18160.8170 4.115378 2000-2012 –> 2013-2019 8.940723 57745.893
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 41174.4761 4.620524 1982-1999 –> 2000-2012 9.988679 66558.351
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 40911.7979 4.533720 1982-1999 –> 2000-2012 9.901091 66296.478
Indo-Pacific (27.25,27.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 41043.6951 4.577427 1982-1999 –> 2000-2012 9.973915 66470.662
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 40913.6525 4.534323 1982-1999 –> 2000-2012 9.885777 66274.021
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 40283.3710 4.334099 1982-1999 –> 2000-2012 9.716268 65690.589
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 40630.1134 4.443130 1982-1999 –> 2000-2012 9.571162 65641.378
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 40373.5915 4.362208 1982-1999 –> 2000-2012 9.980814 66132.742
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 40427.5473 4.379105 1982-1999 –> 2000-2012 9.513160 65448.420
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + phosphate + phosphate_star 40746.3121 4.480920 1982-1999 –> 2000-2012 9.619501 65772.399
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 39944.9489 4.230264 1982-1999 –> 2000-2012 9.355803 64952.233
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 19090.0758 3.312844 2000-2012 –> 2013-2019 7.707336 59566.574
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 19162.5274 3.346851 2000-2012 –> 2013-2019 7.749101 59661.642
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 19058.9573 3.298733 2000-2012 –> 2013-2019 7.632832 59342.328
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 19196.8070 3.361704 2000-2012 –> 2013-2019 7.839568 59935.598
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 19351.3206 3.434659 2000-2012 –> 2013-2019 7.946828 60194.622
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 19068.3399 3.302981 2000-2012 –> 2013-2019 7.665189 59441.931
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19085.9191 3.310956 2000-2012 –> 2013-2019 7.716433 59597.260
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 19197.0784 3.361829 2000-2012 –> 2013-2019 7.779105 59745.748
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19082.5932 3.309446 2000-2012 –> 2013-2019 7.706352 59566.755
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 19670.7998 3.587543 2000-2012 –> 2013-2019 7.817807 59615.749
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 44036.1271 4.095478 1982-1999 –> 2000-2012 9.145887 71025.111
Indo-Pacific (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 44034.3762 4.095543 1982-1999 –> 2000-2012 9.147793 71024.596
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 44004.3553 4.087125 1982-1999 –> 2000-2012 9.124486 70970.372
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 44099.6707 4.112763 1982-1999 –> 2000-2012 9.159725 71080.593
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 43207.8378 3.883195 1982-1999 –> 2000-2012 8.923066 70178.279
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 44075.3862 4.105823 1982-1999 –> 2000-2012 8.975517 70740.873
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 43204.2783 3.882307 1982-1999 –> 2000-2012 9.086666 70459.845
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 44272.3515 4.158120 1982-1999 –> 2000-2012 9.007566 70900.847
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + phosphate + phosphate_star 44324.3716 4.172579 1982-1999 –> 2000-2012 9.042509 70988.289
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 44035.2708 4.095252 1982-1999 –> 2000-2012 8.964944 70700.753
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 21259.9453 3.083594 2000-2012 –> 2013-2019 7.107683 65022.420
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 21492.4493 3.171443 2000-2012 –> 2013-2019 7.228876 65381.336
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 21104.1990 3.026597 2000-2012 –> 2013-2019 6.909792 64312.037
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 21486.3185 3.168356 2000-2012 –> 2013-2019 7.368456 65914.998
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 21102.6688 3.026042 2000-2012 –> 2013-2019 6.908349 64306.947
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21103.6470 3.026397 2000-2012 –> 2013-2019 6.917997 64345.130
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21197.4914 3.060610 2000-2012 –> 2013-2019 6.954167 64446.800
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21103.3532 3.026290 2000-2012 –> 2013-2019 6.916765 64340.337
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 21377.5610 3.128095 2000-2012 –> 2013-2019 7.054100 64754.019
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 21936.5857 3.343940 2000-2012 –> 2013-2019 7.439193 65971.856
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 21737.5229 3.583312 1982-1999 –> 2000-2012 7.958234 33573.997
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 21679.5225 3.557619 1982-1999 –> 2000-2012 7.956487 33538.289
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21637.0691 3.538930 1982-1999 –> 2000-2012 7.954226 33511.060
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21621.9108 3.532281 1982-1999 –> 2000-2012 7.965906 33512.820
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21635.0428 3.538040 1982-1999 –> 2000-2012 7.957556 33512.935
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 21769.6274 3.597614 1982-1999 –> 2000-2012 7.964170 33598.284
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 21668.5725 3.552789 1982-1999 –> 2000-2012 7.954566 33530.039
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 21632.5168 3.536932 1982-1999 –> 2000-2012 7.957935 33511.784
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 21601.4639 3.523331 1982-1999 –> 2000-2012 7.899190 33438.813
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 21632.8779 3.537090 1982-1999 –> 2000-2012 7.961453 33515.246
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 10533.1345 2.915987 2000-2012 –> 2013-2019 6.473606 32212.657
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10517.5696 2.905267 2000-2012 –> 2013-2019 6.444197 32154.639
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10518.7033 2.906046 2000-2012 –> 2013-2019 6.438327 32140.614
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10517.7821 2.905413 2000-2012 –> 2013-2019 6.443453 32152.825
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 10516.8432 2.906142 2000-2012 –> 2013-2019 6.456809 32178.599
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10584.0566 2.951336 2000-2012 –> 2013-2019 6.488268 32216.573
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 10580.4406 2.948812 2000-2012 –> 2013-2019 6.472143 32181.905
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10584.7027 2.951787 2000-2012 –> 2013-2019 6.488878 32217.581
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 10586.5679 2.954488 2000-2012 –> 2013-2019 6.491657 32217.624
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10595.8790 2.961005 2000-2012 –> 2013-2019 6.506318 32245.472
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 29433.9782 3.199014 1982-1999 –> 2000-2012 7.654412 46300.913
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 29287.8282 3.157695 1982-1999 –> 2000-2012 7.613090 46156.760
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 29390.1365 3.186171 1982-1999 –> 2000-2012 7.636116 46251.987
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29307.6662 3.163197 1982-1999 –> 2000-2012 7.652391 46220.326
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 29433.5512 3.198333 1982-1999 –> 2000-2012 7.653635 46302.363
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 29281.6042 3.155971 1982-1999 –> 2000-2012 7.623839 46166.711
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 29309.2995 3.163651 1982-1999 –> 2000-2012 7.646141 46213.312
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 29308.3156 3.163377 1982-1999 –> 2000-2012 7.660087 46230.654
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 29309.5799 3.163728 1982-1999 –> 2000-2012 7.647595 46215.369
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 29307.6502 3.163748 1982-1999 –> 2000-2012 7.655102 46221.093
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 15182.8527 2.954551 2000-2012 –> 2013-2019 6.112246 44470.681
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 15138.3865 2.932958 2000-2012 –> 2013-2019 6.096134 44445.978
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15119.4903 2.923830 2000-2012 –> 2013-2019 6.092631 44447.329
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15114.9946 2.921662 2000-2012 –> 2013-2019 6.084859 44422.661
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15119.5461 2.923856 2000-2012 –> 2013-2019 6.093261 44449.554
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 15117.5926 2.923879 2000-2012 –> 2013-2019 6.105234 44488.488
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 15151.8461 2.939477 2000-2012 –> 2013-2019 6.095448 44433.450
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 15143.2512 2.935312 2000-2012 –> 2013-2019 6.098963 44452.551
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 15143.6577 2.935509 2000-2012 –> 2013-2019 6.099238 44453.238
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 15154.4654 2.941718 2000-2012 –> 2013-2019 6.105466 44462.116
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 48318.9347 3.002390 1982-1999 –> 2000-2012 7.495788 81075.642
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 48216.0691 2.986021 1982-1999 –> 2000-2012 7.479359 80974.626
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 48272.8258 2.995182 1982-1999 –> 2000-2012 7.504853 81070.051
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 48319.4048 3.002150 1982-1999 –> 2000-2012 7.467956 81009.076
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 48341.7370 3.005961 1982-1999 –> 2000-2012 7.476073 81040.210
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 48195.8902 2.982881 1982-1999 –> 2000-2012 7.443665 80872.951
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 48300.4227 2.999181 1982-1999 –> 2000-2012 7.455914 80967.300
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 48345.2637 3.006200 1982-1999 –> 2000-2012 7.495734 81094.328
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 48288.2854 2.997284 1982-1999 –> 2000-2012 7.487518 81039.098
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 48270.0890 2.994442 1982-1999 –> 2000-2012 7.497463 81052.772
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 27163.6986 3.072230 2000-2012 –> 2013-2019 6.074619 75482.633
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 27164.4857 3.071881 2000-2012 –> 2013-2019 6.057902 75380.555
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 27151.0408 3.068017 2000-2012 –> 2013-2019 6.070168 75470.446
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 27166.9486 3.072589 2000-2012 –> 2013-2019 6.055470 75362.839
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 27122.9945 3.059974 2000-2012 –> 2013-2019 6.066175 75468.258
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 27120.6672 3.059308 2000-2012 –> 2013-2019 6.090229 75623.026
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 27145.1506 3.066327 2000-2012 –> 2013-2019 6.063611 75433.436
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 27117.3999 3.058372 2000-2012 –> 2013-2019 6.065583 75469.108
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 27267.0217 3.101504 2000-2012 –> 2013-2019 6.095946 75537.111
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 27127.1530 3.061166 2000-2012 –> 2013-2019 6.097839 75665.879
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 38609.7481 2.932177 1982-1999 –> 2000-2012 7.071476 60542.417
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 38603.1774 2.930554 1982-1999 –> 2000-2012 7.064024 60526.969
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 38662.5588 2.942203 1982-1999 –> 2000-2012 7.085728 60603.107
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 38551.3958 2.920762 1982-1999 –> 2000-2012 7.032468 60434.430
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 38583.1484 2.927141 1982-1999 –> 2000-2012 7.039276 60464.990
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 38496.7256 2.910460 1982-1999 –> 2000-2012 7.022207 60379.838
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 38575.1118 2.925242 1982-1999 –> 2000-2012 7.035558 60455.535
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 38550.4021 2.920574 1982-1999 –> 2000-2012 7.047339 60461.658
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 38608.9344 2.931644 1982-1999 –> 2000-2012 7.066823 60535.917
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 38655.1231 2.940409 1982-1999 –> 2000-2012 7.082978 60595.889
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 26830.0550 2.855172 2000-2012 –> 2013-2019 5.787349 65439.803
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 26739.1407 2.830862 2000-2012 –> 2013-2019 5.761415 65342.318
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 26652.8892 2.808480 2000-2012 –> 2013-2019 5.729242 65204.285
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 26668.8624 2.812612 2000-2012 –> 2013-2019 5.740233 65256.550
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 26785.6598 2.843530 2000-2012 –> 2013-2019 5.770671 65368.808
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 26807.0059 2.849122 2000-2012 –> 2013-2019 5.795265 65490.270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26778.8359 2.841222 2000-2012 –> 2013-2019 5.751682 65275.561
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 26752.3979 2.834318 2000-2012 –> 2013-2019 5.759560 65327.510
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 26809.0017 2.849121 2000-2012 –> 2013-2019 5.769695 65359.404
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 26799.4915 2.846628 2000-2012 –> 2013-2019 5.778272 65408.426
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 50104.3433 3.134411 1982-1999 –> 2000-2012 7.103890 91830.163
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 50848.3740 3.256294 1982-1999 –> 2000-2012 7.240790 92628.495
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 51702.1435 3.401257 1982-1999 –> 2000-2012 7.414067 93589.838
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 50837.9350 3.254223 1982-1999 –> 2000-2012 7.237476 92615.400
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 51897.0100 3.435319 1982-1999 –> 2000-2012 7.369602 93490.039
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate 52121.1057 3.475266 1982-1999 –> 2000-2012 7.412950 93725.017
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 51905.4162 3.436796 1982-1999 –> 2000-2012 7.365221 93476.231
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 51351.7018 3.340850 1982-1999 –> 2000-2012 7.267894 92917.270
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 50473.2965 3.194108 1982-1999 –> 2000-2012 7.118973 92030.592
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 51834.2004 3.424303 1982-1999 –> 2000-2012 7.428214 93688.796
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 22743.2168 2.710158 2000-2012 –> 2013-2019 5.844570 72847.560
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 22796.5575 2.726148 2000-2012 –> 2013-2019 5.982441 73644.932
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 22732.0916 2.707531 2000-2012 –> 2013-2019 6.167224 74765.367
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 22619.8699 2.674858 2000-2012 –> 2013-2019 6.076115 74322.013
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 22732.9721 2.707209 2000-2012 –> 2013-2019 6.123153 74519.382
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 22518.2907 2.646133 2000-2012 –> 2013-2019 5.900356 73356.226
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 22729.8248 2.706303 2000-2012 –> 2013-2019 6.141622 74626.835
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 22590.5669 2.666540 2000-2012 –> 2013-2019 6.199150 75033.727
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 23199.1564 2.844736 2000-2012 –> 2013-2019 6.185585 74550.858
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 22651.1975 2.683780 2000-2012 –> 2013-2019 5.877887 73124.494

5.2 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)

5.3 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)

5.4 Write files

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 = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 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
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

6.1.2 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
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

6.2 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).

6.2.1 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
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)

6.2.2 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
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)

6.3 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] 8 8 8 8 6 4 8
(26,26.5] 10 9 8 7 4 3 7
(26.5,26.75] 7 3 8 9 7 4 10
(26.75,27] 6 5 6 9 5 8 10
(27,27.25] 6 5 5 9 6 8 10
(27.25,27.5] 7 4 8 7 10 3 9
(27.5,27.75] 8 4 8 8 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] 4 4 4 10 10 4 10
(28.15,28.2] 9 4 10 6 6 6 8
(28.2, Inf] 9 3 10 7 8 7 4
total 100.00 65.00 104.00 111.00 99.00 90.00 107.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 9 7 7 6 6 7
(26,26.5] 9 10 8 7 4 3 7
(26.5,26.75] 7 10 7 7 3 3 10
(26.75,27] 6 4 6 10 4 8 10
(27,27.25] 6 6 6 8 6 8 10
(27.25,27.5] 8 4 9 7 9 4 8
(27.5,27.75] 8 4 8 7 4 10 8
(27.75,27.85] 7 6 7 7 7 10 6
(27.85,27.95] 5 3 7 7 10 10 5
(27.95,28.05] 6 3 7 8 10 9 5
(28.05,28.1] 7 6 8 10 7 5 6
(28.1,28.15] 5 5 9 10 5 3 10
(28.15,28.2] 7 3 8 7 10 4 9
(28.2, Inf] 7 3 9 7 10 8 4
total 96.00 76.00 106.00 109.00 95.00 91.00 105.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 6 6 7 10 6 8
(26,26.5] 8 4 8 8 10 4 7
(26.5,26.75] 9 7 9 9 7 2 5
(26.75,27] 10 5 10 9 3 5 5
(27,27.25] 10 4 10 9 4 5 5
(27.25,27.5] 10 4 10 9 4 5 5
(27.5,27.75] 10 3 10 9 5 5 5
(27.75,27.85] 7 6 7 8 4 9 9
(27.85,27.95] 7 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 107.00 63.00 107.00 102.00 62.00 64.00 70.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 8 8 7 6 8 4 8
(26,26.5] 6 5 6 8 10 6 8
(26.5,26.75] 7 7 7 9 9 3 6
(26.75,27] 9 7 9 8 4 4 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] 6 3 7 7 9 10 6
(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] 8 7 9 8 4 7 6
(28.05,28.1] 10 5 10 7 7 5 3
(28.1, Inf] 10 6 10 6 6 6 4
total 88.00 64.00 92.00 90.00 84.00 82.00 78.00

6.4 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
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 
lm_best_eras %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
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 

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