Last updated: 2021-08-09

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1 Version ID

The results displayed on this site correspond to the Version_ID: v_XXX

2 Required data

Required are:

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

3 Predictor combinations

Find all possible combinations of following considered predictor variables:

  • sal, temp, aou, oxygen, nitrate, silicate
# 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,
         data_source == "obs")

i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[3]
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)

4 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:

  • 56

5 Fit all models

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

  • cstar_tref

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

# prepare nested data frame
GLODAP %>%
  filter_all(any_vars(is.na(.)))

GLODAP_nested <- GLODAP %>% 
  # filter(gamma_slab %in% unique(GLODAP$gamma_slab)[c(5,6)]) %>%
  nest(data = !c(gamma_slab, era, basin, data_source))

# expand with model definitions
GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all#[1:3,]
)

# fit models and extract tidy model output
if (params_local$MLR_function == "lm") {
GLODAP_nested_lm_fit <- GLODAP_nested_lm %>% 
  mutate(
    fit = map2(.x = data, .y = model, 
               ~ lm(as.formula(.y), data = .x))
  )
}

if (params_local$MLR_function == "rlm") {
GLODAP_nested_lm_fit <- GLODAP_nested_lm %>% 
  mutate(
    fit = map2(.x = data, .y = model, 
               ~ lm(as.formula(.y), data = .x))
  )
}


GLODAP_nested_lm_fit <- GLODAP_nested_lm_fit %>% 
  mutate(
    tidied = map(fit, tidy),
    glanced = map(fit, glance),
    augmented = map(fit, augment),
    vif = map(fit, ols_vif_tol)
  )

6 Tidy models

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

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

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

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

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

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

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

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


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

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

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

7 Prepare coeffcients

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

7.1 VIF threshold

To avoid multicollinearity among predictors, models were excluded with a VIF above:

  • 500

After removing models affected by multicollinearity, the targeted number of MLRs (10) was undercut in following fitting units:

GLODAP_glanced_clean <- GLODAP_glanced %>% 
  filter(vif_max <= params_local$vif_max)

GLODAP_glanced_clean %>% 
  group_by(data_source, era, basin, gamma_slab) %>% 
  count() %>% 
  filter(n < params_local$MLR_number)
# A tibble: 0 x 5
# Groups:   data_source, era, basin, gamma_slab [0]
# … with 5 variables: data_source <chr>, era <chr>, basin <chr>,
#   gamma_slab <chr>, n <int>

7.2 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 <- GLODAP_glanced_clean  %>%
  select(data_source, basin, gamma_slab, model, era, AIC, BIC, rmse) %>% 
  arrange(era) %>% 
  group_by(data_source, basin, gamma_slab, model) %>% 
  mutate(rmse_sum = rmse + lag(rmse),
         aic_sum = AIC + lag(AIC),
         bic_sum = BIC + lag(BIC)
         ) %>% 
  ungroup() %>% 
  select(-c(era)) %>% 
  drop_na()

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

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

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

if (params_local$MLR_criterion == "rmse") {
  lm_best <- lm_all %>%
    group_by(data_source, basin, gamma_slab) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, model)
}


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
data_source basin gamma_slab model AIC BIC rmse rmse_sum aic_sum bic_sum
mod global (-Inf,26] cstar_tref ~ sal + aou + oxygen + nitrate 11716.5613 11749.5512 6.192397 14.241458 27800.171 27867.587
obs global (-Inf,26] cstar_tref ~ sal + aou + oxygen + nitrate 15554.4633 15588.5940 8.507496 17.051564 34991.221 35060.813
mod global (-Inf,26] cstar_tref ~ sal + aou + oxygen + nitrate + silicate 11682.1157 11720.6039 6.130194 14.177423 27766.681 27845.332
obs global (-Inf,26] cstar_tref ~ sal + aou + oxygen + nitrate + silicate 15229.0342 15268.8533 7.892812 16.104589 34451.602 34532.793
obs global (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate 16570.4797 16604.6105 10.736603 20.231061 36582.055 36651.647
mod global (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 12115.4908 12148.4807 6.915941 15.170350 28314.631 28382.047
obs global (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 15831.5932 15865.7239 9.065013 18.124118 35587.357 35656.949
mod global (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 12117.3303 12155.8185 6.915633 15.141687 28302.690 28381.341
obs global (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 15563.4485 15603.2677 8.521118 17.287335 35142.097 35223.288
obs global (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 16598.9159 16633.0466 10.806760 20.477542 36710.776 36780.368
mod global (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate 12357.8151 12390.8050 7.396115 15.978352 28735.567 28802.982
obs global (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate 15975.5873 16009.7180 9.368969 18.685345 35883.969 35953.561
mod global (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 12356.6109 12395.0991 7.389553 15.925186 28711.391 28790.043
obs global (-Inf,26] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 15732.1890 15772.0082 8.856896 17.877649 35466.831 35548.021
obs global (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate 16608.6819 16642.8126 10.830960 20.544983 36744.856 36814.448
mod global (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate 12717.3428 12750.3327 8.170638 17.211680 29333.933 29401.348
mod global (-Inf,26] cstar_tref ~ temp + aou + oxygen + nitrate 12714.9330 12747.9229 8.165186 17.205504 29331.156 29398.571
mod global (-Inf,26] cstar_tref ~ temp + oxygen + nitrate 12714.5879 12742.0795 8.168930 17.247367 29348.107 29404.287
mod global (-Inf,26] cstar_tref ~ temp + oxygen + nitrate + silicate 12709.3736 12742.3635 8.152621 17.230466 29344.594 29412.009
obs global (-Inf,26] cstar_tref ~ temp + oxygen + nitrate + silicate 16626.2270 16660.3577 10.874572 21.468113 37234.774 37304.366
mod global (26,26.5] cstar_tref ~ aou + oxygen + nitrate 16714.2901 16743.7710 5.416309 10.658334 35141.261 35200.763
obs global (26,26.5] cstar_tref ~ aou + oxygen + nitrate 22608.6465 22639.1866 7.267754 13.938309 44793.712 44854.825
mod global (26,26.5] cstar_tref ~ aou + oxygen + nitrate + silicate 16509.4844 16544.8615 5.211835 10.233896 34681.765 34753.168
obs global (26,26.5] cstar_tref ~ aou + oxygen + nitrate + silicate 22308.1932 22344.8414 6.944228 13.408629 44285.367 44358.703
mod global (26,26.5] cstar_tref ~ sal + aou + oxygen + nitrate 15782.5591 15817.9362 4.552447 9.325991 33650.939 33722.343
obs global (26,26.5] cstar_tref ~ sal + aou + oxygen + nitrate 22057.3443 22093.9924 6.686855 12.875864 43743.440 43816.776
mod global (26,26.5] cstar_tref ~ sal + aou + oxygen + nitrate + silicate 15084.4599 15125.7332 3.996383 8.343155 32394.031 32477.335
obs global (26,26.5] cstar_tref ~ sal + aou + oxygen + nitrate + silicate 21498.9734 21541.7296 6.145843 12.013159 42830.187 42915.746
mod global (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 15800.7818 15836.1589 4.567910 9.184177 33468.549 33539.952
obs global (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 21924.2159 21960.8641 6.554162 12.578237 43429.716 43503.052
mod global (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 15542.0306 15583.3038 4.351562 8.653486 32789.500 32872.804
obs global (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 21636.5841 21679.3403 6.274502 12.147113 42973.829 43059.387
mod global (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate 16070.5764 16105.9535 4.803090 9.662682 34045.936 34117.339
obs global (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate 21978.9434 22015.5916 6.608389 12.704897 43564.356 43637.692
mod global (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 15941.6025 15982.8757 4.687445 9.318187 33630.116 33713.420
obs global (26,26.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 21799.5185 21842.2747 6.430325 12.441335 43292.503 43378.062
mod global (26,26.5] cstar_tref ~ temp + aou + nitrate 16923.8408 16953.3217 5.631682 10.912334 35394.773 35454.276
obs global (26,26.5] cstar_tref ~ temp + aou + nitrate 22626.7545 22657.2946 7.287595 13.981511 44835.195 44896.308
mod global (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 16847.5305 16882.9076 5.550211 10.683441 35150.915 35222.319
obs global (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate 22441.6311 22478.2792 7.085148 13.668748 44540.968 44614.304
mod global (26.5,26.75] cstar_tref ~ aou + oxygen + nitrate 17917.8601 17947.7499 5.215746 10.557020 37094.591 37154.671
obs global (26.5,26.75] cstar_tref ~ aou + oxygen + nitrate 23548.3048 23579.1727 6.686265 13.267271 48100.533 48162.501
mod global (26.5,26.75] cstar_tref ~ aou + oxygen + nitrate + silicate 16878.0046 16913.8724 4.362466 9.078366 35285.431 35357.528
obs global (26.5,26.75] cstar_tref ~ aou + oxygen + nitrate + silicate 23120.4839 23157.5254 6.293069 12.669122 47439.637 47514.000
mod global (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate 17624.4855 17660.3533 4.958161 10.026324 36478.119 36550.215
obs global (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate 23341.1191 23378.1605 6.491927 12.792184 47571.419 47645.782
mod global (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 16735.1452 16776.9910 4.255443 8.735124 34826.275 34910.388
obs global (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 22990.3872 23033.6023 6.176939 12.321569 47036.849 47123.605
mod global (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate 17735.6641 17771.5319 5.053588 10.095990 36557.734 36629.831
obs global (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate 23367.2987 23404.3402 6.515936 12.840764 47626.520 47700.882
mod global (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 17049.5849 17091.4307 4.491178 9.022713 35211.999 35296.113
obs global (26.5,26.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 23171.2013 23214.4163 6.336448 12.597451 47357.065 47443.821
mod global (26.5,26.75] cstar_tref ~ temp + aou + nitrate 18027.6688 18057.5586 5.314882 10.561633 37093.804 37153.885
obs global (26.5,26.75] cstar_tref ~ temp + aou + nitrate 23593.1815 23624.0493 6.728708 13.373270 48216.820 48278.789
mod global (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate 17288.8891 17324.7570 4.680903 9.382128 35677.011 35749.107
obs global (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate 23443.2445 23480.2859 6.586087 13.194776 48028.661 48103.023
mod global (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate 18235.6704 18265.5603 5.507861 10.802136 37357.656 37417.737
obs global (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate 23783.5819 23814.4498 6.911802 13.746400 48616.738 48678.707
mod global (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate 17690.2184 17726.0862 5.014361 9.850011 36252.963 36325.060
obs global (26.5,26.75] cstar_tref ~ temp + oxygen + nitrate + silicate 23741.8288 23778.8703 6.869292 13.703236 48576.274 48650.636
obs global (26.75,27] cstar_tref ~ aou + oxygen + nitrate 31093.2080 31125.6786 5.823524 11.654124 63191.086 63256.184
mod global (26.75,27] cstar_tref ~ aou + oxygen + nitrate + silicate 25924.8627 25963.1110 4.802652 10.160376 53993.817 54070.574
obs global (26.75,27] cstar_tref ~ aou + oxygen + nitrate + silicate 30965.8419 31004.8066 5.746937 11.576642 63064.171 63142.289
mod global (26.75,27] cstar_tref ~ sal + aou + oxygen + nitrate 27409.9924 27448.2406 5.699760 11.379990 56008.409 56085.167
obs global (26.75,27] cstar_tref ~ sal + aou + oxygen + nitrate 30990.2685 31029.2333 5.761321 11.472005 62880.590 62958.709
mod global (26.75,27] cstar_tref ~ sal + aou + oxygen + nitrate + silicate 25926.8617 25971.4847 4.802652 10.149604 53979.587 54069.137
mod global (26.75,27] cstar_tref ~ sal + temp + aou + nitrate 27169.4810 27207.7293 5.543853 11.065930 55512.120 55588.878
obs global (26.75,27] cstar_tref ~ sal + temp + aou + nitrate 31230.2951 31269.2599 5.904586 11.775793 63400.158 63478.276
mod global (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate 25780.4093 25825.0322 4.722226 9.870000 53489.271 53578.821
obs global (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + silicate 31193.4174 31238.8763 5.881142 11.747376 63356.736 63447.874
mod global (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate 27270.1277 27308.3759 5.608570 11.203782 55731.946 55808.704
obs global (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate 31527.1702 31566.1350 6.086721 12.164079 64045.029 64123.148
mod global (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 26050.4947 26095.1176 4.871612 10.089090 53881.185 53970.735
obs global (26.75,27] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 31528.7515 31574.2104 6.086461 12.119426 63974.683 64065.821
mod global (26.75,27] cstar_tref ~ temp + aou + nitrate 27456.6106 27488.4842 5.731804 11.402579 56037.935 56101.900
obs global (26.75,27] cstar_tref ~ temp + aou + nitrate 31483.3749 31515.8456 6.060744 12.230247 64150.982 64216.081
mod global (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate 25969.6219 26007.8701 4.827504 10.061602 53827.118 53903.875
obs global (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate 31484.3608 31523.3256 6.060115 12.164951 64047.712 64125.830
mod global (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate 26389.5809 26427.8292 5.067039 10.493009 54573.185 54649.943
obs global (26.75,27] cstar_tref ~ temp + oxygen + nitrate + silicate 31895.1302 31934.0950 6.320284 12.664912 64846.990 64925.108
obs global (27,27.25] cstar_tref ~ aou + oxygen + nitrate 39063.1416 39096.6467 6.237725 12.511248 79894.310 79961.533
mod global (27,27.25] cstar_tref ~ sal + aou + nitrate 33180.9030 33213.7719 5.560650 11.425338 68053.645 68119.547
mod global (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 33115.0057 33154.4483 5.525085 11.380968 67973.315 68052.398
obs global (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 39407.7603 39447.9664 6.418115 12.753874 80364.719 80445.387
obs global (27,27.25] cstar_tref ~ sal + aou + oxygen + nitrate 39037.4323 39077.6384 6.223360 12.408491 79692.659 79773.327
mod global (27,27.25] cstar_tref ~ sal + temp + aou + nitrate 32497.3157 32536.7583 5.211808 10.804623 66852.962 66932.044
obs global (27,27.25] cstar_tref ~ sal + temp + aou + nitrate 39454.3647 39494.5708 6.443052 12.876050 80602.321 80682.988
mod global (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 32308.3260 32354.3424 5.118587 10.711379 66665.929 66758.192
obs global (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 38767.8631 38814.7702 6.084308 11.928133 78713.287 78807.399
mod global (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate 32508.5533 32547.9959 5.217346 10.734738 66715.717 66794.800
obs global (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate 39794.2887 39834.4947 6.627892 13.257156 81319.110 81399.777
mod global (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 32310.0811 32356.0975 5.119435 10.635397 66516.409 66608.672
obs global (27,27.25] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 38987.4427 39034.3498 6.196496 12.141829 79148.818 79242.930
mod global (27,27.25] cstar_tref ~ temp + aou + nitrate 32716.7192 32749.5880 5.322002 11.060020 67350.668 67416.570
obs global (27,27.25] cstar_tref ~ temp + aou + nitrate 39481.5944 39515.0995 6.458741 12.996182 80829.508 80896.731
mod global (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 32573.2869 32612.7295 5.249360 10.987310 67209.105 67288.188
obs global (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 38775.6784 38815.8845 6.089280 11.992449 78845.804 78926.472
mod global (27,27.25] cstar_tref ~ temp + oxygen + nitrate 32673.2114 32706.0802 5.300165 10.922372 67084.179 67150.081
mod global (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate 32513.5981 32553.0407 5.219834 10.841216 66924.963 67004.046
obs global (27,27.25] cstar_tref ~ temp + oxygen + nitrate + silicate 39006.7949 39047.0010 6.207515 12.232850 79333.786 79414.453
obs global (27.25,27.5] cstar_tref ~ aou + nitrate + silicate 45466.0885 45500.3504 6.247022 12.454900 94478.419 94547.328
obs global (27.25,27.5] cstar_tref ~ aou + oxygen + nitrate 46853.2440 46887.5059 6.898575 13.525247 96851.485 96920.394
mod global (27.25,27.5] cstar_tref ~ aou + oxygen + nitrate + silicate 40161.1288 40201.6981 5.615740 10.847603 83487.792 83569.523
obs global (27.25,27.5] cstar_tref ~ oxygen + nitrate + silicate 46510.1194 46544.3813 6.731342 13.607179 97065.788 97134.697
mod global (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 39071.9251 39112.4944 5.156542 10.095318 81586.187 81667.917
obs global (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 44668.2700 44709.3843 5.899699 11.757079 92804.921 92887.611
obs global (27.25,27.5] cstar_tref ~ sal + aou + oxygen + nitrate 46851.0990 46892.2133 6.896531 13.497700 96793.110 96875.801
obs global (27.25,27.5] cstar_tref ~ sal + oxygen + nitrate + silicate 45626.6733 45667.7876 6.318279 12.749860 95175.632 95258.323
mod global (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate 39345.7955 39386.3648 5.268343 10.286745 82085.446 82167.177
mod global (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 38703.7468 38751.0777 5.009186 9.709867 80523.721 80619.073
obs global (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 44284.4270 44332.3936 5.739119 11.262876 91537.435 91633.908
mod global (27.25,27.5] cstar_tref ~ sal + temp + oxygen + nitrate 39054.4845 39095.0538 5.149503 10.070880 81519.015 81600.745
mod global (27.25,27.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 38434.2151 38481.5459 4.904551 9.512897 79974.628 80069.980
obs global (27.25,27.5] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 44465.3748 44513.3415 5.813874 11.407518 91908.255 92004.728
mod global (27.25,27.5] cstar_tref ~ temp + aou + nitrate 40196.7522 40230.5600 5.632313 10.887036 83582.856 83650.965
mod global (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 39592.0075 39632.5768 5.370921 10.350374 82221.861 82303.591
obs global (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 44322.3394 44363.4537 5.755525 11.282665 91582.594 91665.285
mod global (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate 39935.5197 39969.3274 5.518247 10.668688 83039.151 83107.259
mod global (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 39352.7022 39393.2715 5.271193 10.150877 81697.337 81779.068
obs global (27.25,27.5] cstar_tref ~ temp + oxygen + nitrate + silicate 44494.2375 44535.3518 5.826722 11.425636 91949.340 92032.031
obs global (27.5,27.75] cstar_tref ~ aou + nitrate + silicate 45127.3364 45161.6211 6.008495 12.069953 96104.683 96173.848
mod global (27.5,27.75] cstar_tref ~ aou + oxygen + nitrate + silicate 46605.8603 46647.5072 5.105906 9.483243 95213.902 95297.759
obs global (27.5,27.75] cstar_tref ~ aou + oxygen + nitrate + silicate 44013.0779 44054.2195 5.549471 10.824132 92792.319 92875.317
obs global (27.5,27.75] cstar_tref ~ oxygen + nitrate + silicate 46363.2010 46397.4857 6.561119 13.336658 99102.843 99172.009
mod global (27.5,27.75] cstar_tref ~ sal + aou + nitrate 46320.7605 46355.4663 5.012177 9.657946 95925.727 95995.608
mod global (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 44807.0019 44848.6488 4.538840 8.589909 92114.959 92198.817
obs global (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate 43587.4447 43628.5864 5.383829 10.705386 92506.753 92589.751
obs global (27.5,27.75] cstar_tref ~ sal + aou + oxygen + nitrate 47784.8557 47825.9974 7.258934 13.752878 99854.786 99937.784
mod global (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate 46971.8622 47013.5091 5.229684 10.235557 97831.835 97915.692
obs global (27.5,27.75] cstar_tref ~ sal + oxygen + nitrate + silicate 44240.0578 44281.1995 5.639878 11.379041 94354.830 94437.828
mod global (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate 45631.0153 45672.6622 4.790329 9.054059 93797.700 93881.557
mod global (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 44486.5729 44535.1610 4.444068 8.278463 90873.928 90971.761
obs global (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 43568.0989 43616.0975 5.375653 10.612572 92235.706 92332.537
mod global (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate 45867.5887 45909.2356 4.865073 9.215174 94370.875 94454.732
mod global (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 44679.2845 44727.8726 4.500472 8.393623 91321.882 91419.715
obs global (27.5,27.75] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 43703.7299 43751.7286 5.427813 10.741948 92602.952 92699.783
mod global (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 46894.6179 46936.2648 5.203313 9.645009 95747.633 95831.490
obs global (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate 44062.3853 44103.5270 5.568986 10.897524 93002.437 93085.436
mod global (27.5,27.75] cstar_tref ~ temp + oxygen + nitrate + silicate 47126.2844 47167.9314 5.282804 9.786346 96211.390 96295.247
obs global (27.5,27.75] cstar_tref ~ temp + oxygen + nitrate + silicate 44152.0675 44193.2091 5.604658 10.999045 93286.472 93369.471
obs global (27.75,27.85] cstar_tref ~ aou + nitrate + silicate 27981.5084 28013.5319 5.535966 10.833839 57335.515 57399.872
mod global (27.75,27.85] cstar_tref ~ aou + oxygen + nitrate 19693.7926 19725.0431 3.164800 6.160446 40632.701 40695.616
obs global (27.75,27.85] cstar_tref ~ aou + oxygen + nitrate 30077.2361 30109.2596 6.999176 12.966795 60563.100 60627.457
obs global (27.75,27.85] cstar_tref ~ oxygen + nitrate + silicate 28460.9057 28492.9291 5.841070 11.632631 58662.043 58726.401
mod global (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 21266.9902 21304.4908 3.885743 7.553932 43892.610 43968.109
obs global (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 27238.9150 27277.3432 5.093376 9.827592 55525.374 55602.602
obs global (27.75,27.85] cstar_tref ~ sal + oxygen + nitrate + silicate 27423.2735 27461.7017 5.199549 10.141078 56117.233 56194.462
mod global (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 20030.9241 20068.4247 3.306411 6.455108 41386.305 41461.804
obs global (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 30070.9580 30109.3861 6.992695 12.934794 60518.075 60595.303
mod global (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 20015.7955 20059.5461 3.299022 6.419489 41298.265 41386.347
obs global (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 27217.9521 27262.7850 5.080305 9.731101 55337.380 55427.480
mod global (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate 20269.7798 20307.2804 3.411193 6.673120 41919.033 41994.532
mod global (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 20251.3233 20295.0739 3.402090 6.632188 41821.011 41909.093
obs global (27.75,27.85] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 27227.5569 27272.3898 5.085768 9.767532 55410.085 55500.185
mod global (27.75,27.85] cstar_tref ~ temp + aou + nitrate 20172.8522 20204.1027 3.369158 6.563516 41645.992 41708.908
mod global (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 20138.8508 20176.3513 3.353352 6.512958 41523.001 41598.500
obs global (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 27294.8586 27333.2868 5.125363 9.776626 55413.241 55490.470
mod global (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate 20391.8193 20423.0698 3.466909 6.766880 42135.522 42198.438
mod global (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate + silicate 20355.1289 20392.6295 3.449433 6.711531 42004.816 42080.314
obs global (27.75,27.85] cstar_tref ~ temp + oxygen + nitrate + silicate 27276.3167 27314.7449 5.114739 9.797202 55458.264 55535.493
obs global (27.85,27.95] cstar_tref ~ aou + nitrate + silicate 37293.6173 37327.0914 5.488180 10.464840 75904.138 75971.419
obs global (27.85,27.95] cstar_tref ~ oxygen + nitrate + silicate 37598.9138 37632.3880 5.630270 10.855407 76831.423 76898.704
mod global (27.85,27.95] cstar_tref ~ sal + aou + nitrate 24885.7921 24917.6042 4.415303 8.761007 50946.692 51010.574
mod global (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 24590.8538 24629.0282 4.264870 8.333796 50060.158 50136.817
obs global (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 35776.7156 35816.8846 4.832810 9.279689 72952.342 73033.079
obs global (27.85,27.95] cstar_tref ~ sal + oxygen + nitrate + silicate 35799.8435 35840.0125 4.842178 9.426126 73363.022 73443.760
mod global (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 22148.0799 22186.2543 3.206695 6.620954 46035.109 46111.768
mod global (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 22145.3715 22189.9084 3.204933 6.597420 45976.698 46066.133
obs global (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 35764.0853 35810.9492 4.826894 9.253798 72884.239 72978.433
obs global (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 37748.4301 37788.5991 5.700239 11.275090 77809.978 77890.715
mod global (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate 22454.7665 22492.9409 3.323583 6.845102 46620.801 46697.459
mod global (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 22450.9433 22495.4802 3.321325 6.818596 46556.656 46646.091
obs global (27.85,27.95] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 35732.6058 35779.4697 4.814189 9.263565 72917.397 73011.591
mod global (27.85,27.95] cstar_tref ~ temp + aou + nitrate 22291.6725 22323.4845 3.261664 6.710579 46267.799 46331.682
mod global (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 22270.4461 22308.6205 3.252832 6.675658 46180.081 46256.740
obs global (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 36628.2792 36668.4483 5.189952 9.727070 74060.368 74141.105
obs global (27.85,27.95] cstar_tref ~ temp + nitrate + silicate 38417.5940 38451.0681 6.029720 11.873718 79079.053 79146.334
mod global (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate 22571.5742 22603.3862 3.370002 6.922636 46814.958 46878.840
mod global (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 22550.7849 22588.9593 3.361048 6.885207 46723.579 46800.238
obs global (27.85,27.95] cstar_tref ~ temp + oxygen + nitrate + silicate 36541.8463 36582.0153 5.152531 9.687185 73967.001 74047.738
obs global (27.95,28.05] cstar_tref ~ aou + nitrate + silicate 47557.5129 47592.3281 5.080787 9.798141 96967.657 97037.601
mod global (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate 29526.2105 29565.4689 4.293617 8.665426 58670.376 58748.777
obs global (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate 44505.3443 44547.1225 4.178331 7.979777 90327.195 90411.129
mod global (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate 30507.7680 30547.0263 4.724583 9.517784 60578.224 60656.625
obs global (27.95,28.05] cstar_tref ~ sal + oxygen + nitrate + silicate 44385.2488 44427.0270 4.146324 7.946232 90200.369 90284.303
mod global (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 28001.9647 28041.2231 3.700976 7.533932 55822.044 55900.445
obs global (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 47366.6859 47408.4641 5.018443 9.604945 96310.963 96394.897
mod global (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 27928.3335 27974.1349 3.673800 7.379574 55410.744 55502.212
obs global (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 44459.4959 44508.2371 4.165549 7.949979 90208.732 90306.655
obs global (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 47086.5129 47128.2911 4.929219 9.489301 95934.707 96018.641
mod global (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate 28179.6790 28218.9374 3.765626 7.741827 56369.084 56447.485
obs global (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate 47838.1750 47879.9532 5.172254 9.896326 97273.987 97357.921
mod global (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 28107.6347 28153.4361 3.738554 7.565470 55913.839 56005.307
obs global (27.95,28.05] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 44325.1554 44373.8966 4.129872 7.918609 90093.308 90191.230
mod global (27.95,28.05] cstar_tref ~ temp + aou + nitrate 28138.8236 28171.5389 3.751395 7.636524 56092.993 56158.327
mod global (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 28081.9441 28121.2024 3.729933 7.450801 55603.272 55681.673
obs global (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate 46587.2023 46628.9805 4.774124 9.169096 94822.021 94905.955
mod global (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate 28318.5384 28351.2537 3.817671 7.867790 56691.354 56756.688
mod global (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate 28262.0800 28301.3383 3.795985 7.645456 56125.437 56203.838
obs global (27.95,28.05] cstar_tref ~ temp + oxygen + nitrate + silicate 46516.1298 46557.9080 4.752447 9.141314 94727.825 94811.759
mod global (28.05,28.1] cstar_tref ~ aou + nitrate + silicate 16774.2596 16804.7710 3.063513 6.260477 33427.451 33488.355
obs global (28.05,28.1] cstar_tref ~ sal + aou + nitrate 32592.9873 32626.3847 3.862260 7.584742 64550.139 64616.902
mod global (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 16694.4941 16731.1078 3.025817 6.155571 33212.685 33285.769
obs global (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate 32016.3542 32056.4311 3.676854 7.204771 63348.059 63428.175
obs global (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate 33276.1237 33309.5211 4.093222 8.074661 66019.325 66086.088
obs global (28.05,28.1] cstar_tref ~ sal + oxygen + nitrate + silicate 32064.6010 32104.6779 3.691967 7.253221 63506.231 63586.347
mod global (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 16570.2060 16606.8197 2.969403 5.933554 32737.858 32810.942
obs global (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 32554.7185 32594.7954 3.849060 7.542042 64420.877 64500.993
mod global (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 15451.5562 15494.2722 2.505951 4.978424 30451.722 30536.987
obs global (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 31994.5955 32041.3519 3.669434 7.190703 63306.253 63399.722
mod global (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate 16467.5460 16504.1597 2.923600 6.211988 33304.544 33377.628
mod global (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate 16639.4539 16676.0676 3.000703 5.988948 32859.305 32932.389
obs global (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate 32982.6208 33022.6977 3.991667 7.802507 65215.961 65296.077
mod global (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 15514.6336 15557.3495 2.530001 5.023734 30570.006 30655.271
obs global (28.05,28.1] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 31856.8885 31903.6449 3.626724 7.125260 63092.848 63186.316
mod global (28.05,28.1] cstar_tref ~ temp + aou + nitrate 16703.5624 16734.0738 3.030892 6.222437 33345.814 33406.717
mod global (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate 15636.0338 15672.6475 2.577720 5.211066 31040.658 31113.741
obs global (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate 33155.6999 33195.7768 4.050839 7.845918 65340.601 65420.716
mod global (28.05,28.1] cstar_tref ~ temp + oxygen + nitrate + silicate 15703.5399 15740.1536 2.604205 5.259230 31161.030 31234.114
obs global (28.05,28.1] cstar_tref ~ temp + oxygen + nitrate + silicate 33151.5144 33191.5913 4.049398 7.837711 65315.557 65395.673
mod global (28.1,28.2] cstar_tref ~ aou + nitrate + silicate 33921.3525 33955.5460 2.828740 5.785120 70128.356 70196.980
mod global (28.1,28.2] cstar_tref ~ oxygen + nitrate + silicate 34455.7272 34489.9207 2.940491 6.002534 71170.584 71239.208
obs global (28.1,28.2] cstar_tref ~ sal + aou + nitrate 36525.5341 36559.5812 3.696262 7.402219 74183.164 74251.406
mod global (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate 33271.8623 33312.8945 2.698226 5.613342 69277.584 69359.933
obs global (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate 35896.9488 35937.8053 3.526276 7.121122 73136.624 73218.514
mod global (28.1,28.2] cstar_tref ~ sal + oxygen + nitrate + silicate 34027.8061 34068.8383 2.850244 5.873051 70558.155 70640.504
obs global (28.1,28.2] cstar_tref ~ sal + oxygen + nitrate + silicate 36226.8056 36267.6621 3.614196 7.562203 74759.296 74841.186
mod global (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate 34086.1672 34127.1994 2.862331 6.202528 72060.460 72142.809
obs global (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate 36283.0196 36323.8761 3.629397 7.185246 73372.218 73454.108
mod global (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 32478.7185 32526.5893 2.547065 5.383552 68091.000 68187.074
obs global (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 35634.3851 35682.0510 3.457307 6.888470 72233.141 72328.679
mod global (28.1,28.2] cstar_tref ~ sal + temp + oxygen + nitrate 34200.3853 34241.4175 2.886134 6.246407 72261.341 72343.690
obs global (28.1,28.2] cstar_tref ~ sal + temp + oxygen + nitrate 37015.4584 37056.3149 3.833394 7.567748 74780.396 74862.286
mod global (28.1,28.2] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 32618.7080 32666.5788 2.573050 5.428595 68327.836 68423.910
obs global (28.1,28.2] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 35669.1956 35716.8615 3.466304 6.918131 72350.786 72446.325
obs global (28.1,28.2] cstar_tref ~ temp + aou + nitrate 38066.2526 38100.2997 4.146865 8.152985 76798.338 76866.580
mod global (28.1,28.2] cstar_tref ~ temp + aou + nitrate + silicate 32592.6925 32633.7247 2.568573 5.405969 68207.609 68289.958
obs global (28.1,28.2] cstar_tref ~ temp + aou + nitrate + silicate 37203.5526 37244.4091 3.887607 7.675072 75163.320 75245.210
mod global (28.1,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 32740.0631 32781.0953 2.596166 5.453046 68453.948 68536.297
obs global (28.1,28.2] cstar_tref ~ temp + oxygen + nitrate + silicate 37710.8560 37751.7125 4.037676 7.873034 75843.984 75925.874
mod global (28.2,28.3] cstar_tref ~ aou + nitrate + silicate 32400.7627 32435.6428 1.874345 3.745854 65640.848 65710.740
mod global (28.2,28.3] cstar_tref ~ oxygen + nitrate + silicate 32576.0801 32610.9601 1.895229 3.868909 66679.609 66749.501
obs global (28.2,28.3] cstar_tref ~ sal + aou + nitrate 13380.7855 13410.2627 2.918196 6.092926 26647.714 26706.460
mod global (28.2,28.3] cstar_tref ~ sal + aou + nitrate + silicate 32402.6383 32444.4944 1.874330 3.701618 65256.291 65340.161
obs global (28.2,28.3] cstar_tref ~ sal + aou + nitrate + silicate 13285.3430 13320.7156 2.865721 6.016991 26516.074 26586.569
obs global (28.2,28.3] cstar_tref ~ sal + aou + oxygen + nitrate 13234.7371 13270.1097 2.838842 5.992550 26469.452 26539.947
obs global (28.2,28.3] cstar_tref ~ sal + aou + oxygen + nitrate + silicate 13185.1456 13226.4137 2.811699 5.943752 26386.377 26468.620
mod global (28.2,28.3] cstar_tref ~ sal + oxygen + nitrate + silicate 32577.8265 32619.6826 1.895199 3.771674 65862.960 65946.830
mod global (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate 33332.2949 33374.1510 1.987760 4.187529 69199.525 69283.395
obs global (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate 13242.5379 13277.9105 2.842969 5.985581 26459.102 26529.596
mod global (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + silicate 32404.5216 32453.3536 1.874316 3.701320 65257.648 65355.496
obs global (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + silicate 13162.7420 13204.0100 2.799993 5.910303 26328.096 26410.339
mod global (28.2,28.3] cstar_tref ~ sal + temp + oxygen + nitrate 33360.3390 33402.1951 1.991287 4.198109 69279.572 69363.442
obs global (28.2,28.3] cstar_tref ~ sal + temp + oxygen + nitrate 13315.4999 13350.8725 2.881860 6.035706 26550.441 26620.935
mod global (28.2,28.3] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 32487.8873 32536.7194 1.884218 3.724246 65456.401 65554.249
obs global (28.2,28.3] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 13189.0535 13230.3215 2.813745 5.896404 26308.417 26390.661
mod global (28.2,28.3] cstar_tref ~ temp + aou + nitrate + silicate 32402.7264 32444.5825 1.874341 3.727765 65487.077 65570.947
obs global (28.2,28.3] cstar_tref ~ temp + aou + nitrate + silicate 13419.0313 13454.4039 2.937960 6.201291 26829.720 26900.215
mod global (28.2,28.3] cstar_tref ~ temp + oxygen + nitrate + silicate 32485.8935 32527.7496 1.884219 3.751437 65690.688 65774.558
obs global (28.2,28.3] cstar_tref ~ temp + oxygen + nitrate + silicate 13433.6793 13469.0519 2.945985 6.180730 26799.056 26869.550
mod global (28.3,28.4] cstar_tref ~ aou + nitrate + silicate 15668.4524 15700.4725 1.397280 2.459282 28534.742 28598.647
mod global (28.3,28.4] cstar_tref ~ aou + oxygen + nitrate + silicate 15156.8951 15195.3192 1.319191 2.358166 27834.643 27911.330
mod global (28.3,28.4] cstar_tref ~ oxygen + nitrate + silicate 15228.4100 15260.4301 1.330096 2.398960 28150.682 28214.587
mod global (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate 15668.2451 15706.6692 1.396935 2.458604 28533.810 28610.496
obs global (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate 4820.8121 4850.1557 2.792813 6.213120 10813.506 10873.024
obs global (28.3,28.4] cstar_tref ~ sal + aou + oxygen + nitrate 4814.2271 4843.5708 2.783474 6.157569 10776.205 10835.724
mod global (28.3,28.4] cstar_tref ~ sal + aou + oxygen + nitrate + silicate 14148.2511 14193.0793 1.178031 2.163330 26366.934 26456.401
obs global (28.3,28.4] cstar_tref ~ sal + oxygen + nitrate 4816.1587 4840.6118 2.789046 6.195754 10797.857 10847.456
mod global (28.3,28.4] cstar_tref ~ sal + oxygen + nitrate + silicate 14782.4915 14820.9157 1.265025 2.252832 27021.276 27097.962
obs global (28.3,28.4] cstar_tref ~ sal + oxygen + nitrate + silicate 4813.6352 4842.9789 2.782636 6.172949 10786.440 10845.959
obs global (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate 4776.5969 4805.9406 2.730704 6.135202 10758.831 10818.349
mod global (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + silicate 14113.4233 14158.2514 1.173445 2.157929 26324.906 26414.373
obs global (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + silicate 4737.4007 4771.6350 2.674079 6.022298 10683.995 10753.433
obs global (28.3,28.4] cstar_tref ~ sal + temp + aou + oxygen + nitrate 4772.1634 4806.3977 2.721783 6.082136 10726.927 10796.365
obs global (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate 4762.0490 4791.3927 2.710572 6.192913 10795.329 10854.848
obs global (28.3,28.4] cstar_tref ~ sal + temp + oxygen + nitrate 4772.0532 4801.3969 2.724400 6.105723 10738.863 10798.382
mod global (28.3,28.4] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 14128.1768 14173.0050 1.175386 2.160806 26347.928 26437.395
obs global (28.3,28.4] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 4741.5948 4775.8290 2.679790 6.023078 10684.862 10754.300
mod global (28.3,28.4] cstar_tref ~ temp + aou + nitrate + silicate 15130.4656 15168.8898 1.315292 2.353664 27803.169 27879.855
mod global (28.3,28.4] cstar_tref ~ temp + oxygen + nitrate + silicate 15144.6725 15183.0967 1.317386 2.357184 27829.303 27905.989
obs global (28.4, Inf] cstar_tref ~ sal + aou + nitrate 787.5462 802.7955 2.924714 6.084173 2498.449 2532.709
obs global (28.4, Inf] cstar_tref ~ sal + aou + nitrate + silicate 789.3080 807.6071 2.922482 6.073735 2500.489 2541.601
obs global (28.4, Inf] cstar_tref ~ sal + oxygen + nitrate 789.2610 804.5103 2.940833 6.099622 2500.023 2534.283
obs global (28.4, Inf] cstar_tref ~ sal + oxygen + nitrate + silicate 791.2406 809.5398 2.940641 6.089527 2501.924 2543.036
obs global (28.4, Inf] cstar_tref ~ sal + temp + aou + nitrate 784.3325 802.6316 2.876246 6.030957 2496.239 2537.351
obs global (28.4, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 782.9158 804.2648 2.844921 5.991131 2495.037 2543.000
obs global (28.4, Inf] cstar_tref ~ sal + temp + nitrate 783.4055 798.6548 2.886155 6.054511 2496.170 2530.430
obs global (28.4, Inf] cstar_tref ~ sal + temp + nitrate + silicate 783.3859 801.6851 2.867534 6.016274 2494.039 2535.151
obs global (28.4, Inf] cstar_tref ~ sal + temp + oxygen + nitrate 785.0764 803.3756 2.883113 6.039618 2497.360 2538.472
obs global (28.4, Inf] cstar_tref ~ sal + temp + oxygen + nitrate + silicate 784.5195 805.8685 2.859582 6.005763 2496.634 2544.598

7.3 Target variable coefficients

A data frame to map the target variable is prepared.

# extend best model selection with coefficients

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

7.4 dcant coeffcients

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

# subtract coefficients of adjacent era  
lm_best_dcant <- lm_best %>%
  select(-c(AIC, BIC, rmse, aic_sum, bic_sum, rmse_sum)) %>% 
  arrange(era) %>%
  group_by(data_source, basin, gamma_slab, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot to wide format
lm_best_dcant <- lm_best_dcant %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)
# create table of target variable coefficients in wide format
lm_best_target <- lm_best %>% 
  select(-c(AIC, BIC, rmse, aic_sum, bic_sum, rmse_sum)) %>% 
  pivot_wider(names_from = "term",
              names_prefix = "coeff_",
              values_from = "estimate",
              values_fill = 0
              )
GLODAP_augmented_best <- left_join(
  lm_best_target %>% select(data_source, basin, gamma_slab, era, model),
  GLODAP_augmented
)

7.5 Write files

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

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

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

8 Model diagnotics

8.1 Selection criterion vs predictors

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

8.1.1 All models

GLODAP_glanced %>%
  group_split(era) %>%
  # head(1) %>%
  map(
    ~ ggplot(data = .x,
             aes(
               as.factor(n_predictors),
               !!sym(params_local$MLR_criterion),
               col = data_source
             )) +
      geom_hline(yintercept = c(0, 10)) +
      geom_boxplot() +
      facet_grid(gamma_slab ~ basin) +
      scale_color_brewer(palette = "Set1") +
      ylim(c(0, NA)) +
      labs(x = "Number of predictors",
           title = paste("Era:", unique(.x$era)))
  )
[[1]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17 

[[2]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26

8.1.2 Best models

left_join(lm_best_target %>% select(basin, gamma_slab, era, model),
          GLODAP_glanced) %>%
  group_split(era) %>%
  # head(1) %>%
  imap(
  ~ ggplot(data = .x,
         aes("",
             !!sym(params_local$MLR_criterion),
             col = data_source)) +
  geom_hline(yintercept = c(0, 10)) +
  geom_boxplot() +
  facet_grid(gamma_slab ~ basin) +
  scale_color_brewer(palette = "Set1") +
  ylim(c(0, NA)) +
  labs(x = "Number of predictors pooled",
           title = paste("Era:", unique(.x$era)))
  )
[[1]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
c6b3da6 jens-daniel-mueller 2021-06-14
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17 

[[2]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26

8.2 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).

8.2.1 All models

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

lm_all %>%
  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(data_source ~ basin)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
e4ca289 jens-daniel-mueller 2020-12-16
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
ba112d3 jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
7c25f7a jens-daniel-mueller 2020-12-02
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
rm(max_rmse)

8.2.2 Best models

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

lm_best %>%
  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(data_source ~ basin)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
a84ff3c jens-daniel-mueller 2020-12-17 
rm(max_rmse)

8.3 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_dcant %>% 
  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(data_source, basin, 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", "data_source")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate oxygen sal silicate temp
global - mod
(-Inf,26] 6 10 7 6 5 8
(26,26.5] 8 10 6 6 5 6
(26.5,26.75] 6 10 6 4 5 8
(26.75,27] 7 10 6 6 6 7
(27,27.25] 6 10 4 6 5 8
(27.25,27.5] 6 10 5 5 6 8
(27.5,27.75] 6 10 5 7 7 6
(27.75,27.85] 6 10 5 5 5 8
(27.85,27.95] 6 10 4 6 5 8
(27.95,28.05] 5 10 5 6 6 8
(28.05,28.1] 6 10 3 6 7 8
(28.1,28.2] 5 10 5 6 8 6
(28.2,28.3] 5 10 5 6 8 6
(28.3,28.4] 6 10 6 5 10 4
total 84.00 140.00 72.00 80.00 88.00 99.00
global - obs
(-Inf,26] 6 7 7 9 7 7
(26,26.5] 8 10 6 6 5 6
(26.5,26.75] 6 10 6 4 5 8
(26.75,27] 7 10 6 5 5 7
(27,27.25] 7 10 5 6 5 7
(27.25,27.5] 6 10 6 5 8 4
(27.5,27.75] 6 10 6 5 9 4
(27.75,27.85] 6 10 5 5 8 5
(27.85,27.95] 4 10 4 5 10 6
(27.95,28.05] 5 10 4 7 8 7
(28.05,28.1] 5 10 5 8 6 6
(28.1,28.2] 6 10 4 7 6 7
(28.2,28.3] 7 10 5 8 6 6
(28.3,28.4] 5 10 6 10 5 6
(28.4, Inf] 4 10 4 10 5 6
total 88.00 147.00 79.00 100.00 98.00 92.00

8.4 RMSE alternatives

8.4.1 AIC

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

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

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 
lm_best %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17

8.4.2 AIC vs BIC

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

lm_all %>% 
  ggplot(aes(AIC, BIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20

8.5 RMSE vs VIF

GLODAP_glanced %>% 
  ggplot(aes(rmse, log10(vif_max),col=data_source)) +
  geom_hline(yintercept = 1) +
  geom_point() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20

8.6 Residual patterns

8.6.1 Fitted vs true

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

i_binwidth <- 2

p_prop_prop(df = GLODAP_augmented,
            var1 = params_local$MLR_target,
            var2 = ".fitted") +
  facet_grid(basin_AIP ~ data_source) +
  labs(title = "All models")

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13 
GLODAP_augmented %>%
  ggplot(aes(!!sym(params_local$MLR_target) - .fitted)) +
  geom_histogram(binwidth = i_binwidth) +
  labs(title = "All models") +
  scale_x_continuous(limits = c(-50,50)) +
  facet_wrap(~data_source)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13 
p_prop_prop(df = GLODAP_augmented_best,
            var1 = params_local$MLR_target,
            var2 = ".fitted") +
  labs(title = "Selected models") +
  facet_grid(basin_AIP ~ data_source)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13 
GLODAP_augmented_best %>%
  ggplot(aes(!!sym(params_local$MLR_target) - .fitted)) +
  geom_histogram(binwidth = i_binwidth) +
  labs(title = "Selected models") +
    scale_x_continuous(limits = c(-50,50)) +
  facet_wrap(~data_source)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13

8.6.2 Pooled

In the following, we present residual patterns vs latitude across all domains.

i_ylim <- c(-30,30)

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "black") +
  scale_fill_viridis_c(trans = "log10") +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

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

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "black") +
  scale_fill_viridis_c(trans = "log10") +
  coord_cartesian(ylim = i_ylim) +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

8.6.3 By model domain

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

GLODAP_augmented_best %>% 
  group_split(basin, data_source) %>% 
  # head(1) %>% 
  map(~ ggplot(data = .x, aes(lat, .resid)) +
      geom_bin2d(binwidth = i_binwidth) +
      geom_hline(yintercept = 0, col = "black") +
      scale_fill_viridis_c(trans = "log10") +
      facet_grid(gamma_slab ~ era) +
      coord_cartesian(ylim = i_ylim) +
      labs(
        title = paste(
          "Target:",
          params_local$MLR_target,
          "| best models | basin:",
          unique(.x$basin),
          "| data_source:",
          unique(.x$data_source)
        )
      ))
[[1]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
c6b3da6 jens-daniel-mueller 2021-06-14
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24
071743d jens-daniel-mueller 2021-02-24 

[[2]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24

8.6.4 Latitudinal mean

GLODAP_augmented_best <- GLODAP_augmented_best %>%
  mutate(lat_grid = as.numeric(as.character(cut(
    lat,
    seq(-90, 90, 10),
    seq(-85, 85, 10)
  ))))

lat_residual <- GLODAP_augmented_best %>%
  group_by(data_source, basin, gamma_slab, era, lat_grid) %>% 
  summarise(.resid_mean = mean(.resid)) %>% 
  ungroup()

lat_residual %>%
  group_split(basin) %>% 
  map(
  ~ggplot(data = .x,
          aes(lat_grid, .resid_mean, col=era)) +
  geom_line() +
  geom_point() +
  geom_hline(yintercept = 0, col = "black") +
  facet_grid(gamma_slab ~ data_source) +
    labs(title = paste("Basin:", unique(.x$basin)))
  )
[[1]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24

8.6.5 Latitudinal offset

# calculate residual offset for adjacent eras
lat_residual_offset <- lat_residual  %>%
  select(data_source, basin, gamma_slab, era, lat_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(data_source, basin, gamma_slab, lat_grid) %>% 
  mutate(.resid_mean_offset = .resid_mean - lag(.resid_mean)) %>% 
  ungroup() %>% 
  drop_na()

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

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
3b6387f jens-daniel-mueller 2021-06-18
c6b3da6 jens-daniel-mueller 2021-06-14
439ee80 jens-daniel-mueller 2021-06-11
33ffcab jens-daniel-mueller 2021-06-10
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
69c79d0 jens-daniel-mueller 2021-06-08
1772903 jens-daniel-mueller 2021-06-07
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
2edc791 jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
be90356 jens-daniel-mueller 2021-06-02
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24

8.6.6 Spatial mean

GLODAP_augmented_best <- GLODAP_augmented_best %>%
  mutate(lon_grid = as.numeric(as.character(cut(
    lon,
    seq(-360, 500, 10),
    seq(-355, 500, 10)
  ))))

spatial_residual <- GLODAP_augmented_best %>%
  group_by(data_source, gamma_slab, era, lat_grid, lon_grid) %>% 
  summarise(.resid_mean = mean(.resid)) %>% 
  ungroup()

spatial_obs <- GLODAP_augmented_best %>%
  distinct(gamma_slab, era, lat, lon)

spatial_residual %>%
  rename(lat = lat_grid,
         lon = lon_grid) %>%
  group_split(data_source, gamma_slab) %>%
  # head(1) %>%
  map(~ p_map_dcant_slab(
    df = .x,
    var = ".resid_mean",
    col = "divergent",
    title_text = "Residual distribution",
    subtitle_text = paste(
      "Data source:",
      unique(.x$data_source),
      "| density slab:",
      unique(.x$gamma_slab)
      ),
    legend_title = paste(params_local$MLR_target, "\nbias")
  ) +
    geom_raster(data = spatial_obs,
                aes(lon, lat)) +
    facet_grid(era ~ .)
  )
[[1]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[2]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
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Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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[[5]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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[[6]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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[[7]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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[[8]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[9]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[10]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[11]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[12]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[13]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[14]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[15]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[16]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[17]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[18]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[19]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[20]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

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Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[22]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[23]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[24]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[25]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[26]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[27]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[28]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[29]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29

8.6.7 Spatial offset

# calculate residual offset for adjacent eras
spatial_residual_offset <- spatial_residual  %>%
  select(data_source, gamma_slab, era, lat_grid, lon_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(data_source, gamma_slab, lat_grid, lon_grid) %>% 
  mutate(.resid_mean_offset = .resid_mean - lag(.resid_mean)) %>% 
  ungroup() %>% 
  drop_na()

spatial_obs <- spatial_obs %>% 
  count(lon, lat, gamma_slab) %>% 
  filter(n == 2) %>% 
  select(-n)

spatial_residual_offset %>%
  rename(lat = lat_grid,
         lon = lon_grid) %>%
  group_split(data_source, gamma_slab) %>%
  # head(1) %>%
  map(~ p_map_dcant_slab(
    df = .x,
    var = ".resid_mean_offset",
    col = "divergent",
    title_text = "Residual offset distribution (era 2 - era 1)",
    subtitle_text = paste(
      "Data source:",
      unique(.x$data_source),
      "| density slab:",
      unique(.x$gamma_slab)
      ),
    legend_title = paste(params_local$MLR_target, "\nbias offset")
  ) +
    geom_raster(data = spatial_obs,
                aes(lon, lat))
  )
[[1]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[2]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[3]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[4]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[5]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[6]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[7]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[8]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[9]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
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[[10]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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147cb07 jens-daniel-mueller 2021-06-29 

[[11]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[12]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[13]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[14]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[15]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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da61d1a jens-daniel-mueller 2021-08-06
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955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[16]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[17]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[18]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[19]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[20]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[21]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[22]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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da61d1a jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[23]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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da61d1a jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[24]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
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da61d1a jens-daniel-mueller 2021-08-06
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910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[25]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[26]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
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c18a8b1 jens-daniel-mueller 2021-07-09
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1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[27]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[28]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29 

[[29]]

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
971ce87 jens-daniel-mueller 2021-07-13
c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
147cb07 jens-daniel-mueller 2021-06-29

9 VIF

GLODAP_glanced %>% 
  ggplot(aes(as.factor(n),
             log10(vif_max),
             col=data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  scale_color_brewer(palette = "Set1") +
  geom_violin() +
  facet_grid(gamma_slab~basin)

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
d37a85d jens-daniel-mueller 2021-05-31
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
330dcd0 jens-daniel-mueller 2021-03-20 
GLODAP_glanced_vif %>% 
  ggplot(aes(Variables,
             log10(VIF),
             col = data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  geom_violin() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin) +
  coord_flip()

Version Author Date
cd8e0d5 jens-daniel-mueller 2021-08-06
15773a0 jens-daniel-mueller 2021-08-06
da61d1a jens-daniel-mueller 2021-08-06
340d731 jens-daniel-mueller 2021-08-06
71546e4 jens-daniel-mueller 2021-08-06
29444a1 jens-daniel-mueller 2021-08-05
42e80c0 jens-daniel-mueller 2021-08-04
48f6eed jens-daniel-mueller 2021-08-04
81a46a4 jens-daniel-mueller 2021-08-03
b88c61b jens-daniel-mueller 2021-08-03
a53656d jens-daniel-mueller 2021-08-03
88f7356 jens-daniel-mueller 2021-08-02
d759279 jens-daniel-mueller 2021-08-02
127b801 jens-daniel-mueller 2021-07-24
912d90e jens-daniel-mueller 2021-07-23
2477316 jens-daniel-mueller 2021-07-23
c9ccc00 jens-daniel-mueller 2021-07-22
910d64a jens-daniel-mueller 2021-07-02
1cbf907 jens-daniel-mueller 2021-07-02
955f5dc jens-daniel-mueller 2021-06-29
9480f94 jens-daniel-mueller 2021-06-29
d054c39 jens-daniel-mueller 2021-06-24
4fcd066 jens-daniel-mueller 2021-06-24
7e1f407 jens-daniel-mueller 2021-06-10
2cbe18c jens-daniel-mueller 2021-06-10
594ed9a jens-daniel-mueller 2021-06-04
db7df0e jens-daniel-mueller 2021-06-04
207339d jens-daniel-mueller 2021-06-03
315710b jens-daniel-mueller 2021-06-03
d37a85d jens-daniel-mueller 2021-05-31
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
330dcd0 jens-daniel-mueller 2021-03-20 

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] tictoc_1.0.1     gt_0.2.2         corrr_0.4.3      broom_0.7.5     
 [5] kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3      GGally_2.0.0    
 [9] lubridate_1.7.9  ggforce_0.3.3    metR_0.9.0       scico_1.2.0     
[13] patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0    stringr_1.4.0   
[17] dplyr_1.0.5      purrr_0.3.4      readr_1.4.0      tidyr_1.1.2     
[21] tibble_3.0.4     ggplot2_3.3.3    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_0.4.10             readxl_1.3.1            
[37] rstudioapi_0.11          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_1.0.0          stringi_1.5.3            whisker_0.4             
[52] yaml_2.2.1               carData_3.0-4            MASS_7.3-53             
[55] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[58] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[61] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[64] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[67] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[70] modelr_0.1.8             vctrs_0.3.5              tweenr_1.0.2            
[73] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[76] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[79] openxlsx_4.2.3           xfun_0.18                RcppEigen_0.3.3.7.0     
[82] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[85] here_0.1