Last updated: 2021-03-26

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

This reproducible R Markdown analysis was created with workflowr (version 1.6.2). The Checks tab describes the reproducibility checks that were applied when the results were created. The Past versions tab lists the development history.


Great! Since the R Markdown file has been committed to the Git repository, you know the exact version of the code that produced these results.

Great job! The global environment was empty. Objects defined in the global environment can affect the analysis in your R Markdown file in unknown ways. For reproduciblity it’s best to always run the code in an empty environment.

The command set.seed(20200707) was run prior to running the code in the R Markdown file. Setting a seed ensures that any results that rely on randomness, e.g. subsampling or permutations, are reproducible.

Great job! Recording the operating system, R version, and package versions is critical for reproducibility.

Nice! There were no cached chunks for this analysis, so you can be confident that you successfully produced the results during this run.

Great job! Using relative paths to the files within your workflowr project makes it easier to run your code on other machines.

Great! You are using Git for version control. Tracking code development and connecting the code version to the results is critical for reproducibility.

The results in this page were generated with repository version 921c9db. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

Note that you need to be careful to ensure that all relevant files for the analysis have been committed to Git prior to generating the results (you can use wflow_publish or wflow_git_commit). workflowr only checks the R Markdown file, but you know if there are other scripts or data files that it depends on. Below is the status of the Git repository when the results were generated:


Ignored files:
    Ignored:    .Rhistory
    Ignored:    .Rproj.user/

Unstaged changes:
    Deleted:    README.md
    Deleted:    a.png
    Modified:   data/auxillary/params_local.rds

Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.


These are the previous versions of the repository in which changes were made to the R Markdown (analysis/eMLR_model_fitting.Rmd) and HTML (docs/eMLR_model_fitting.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File Version Author Date Message
Rmd 921c9db Donghe-Zhu 2021-03-26 local rebuild
html 6c53dbf Donghe-Zhu 2021-03-25 Build site.
Rmd 195db95 Donghe-Zhu 2021-03-24 local rebuild
html 1914a11 Donghe-Zhu 2021-03-24 Build site.
Rmd e32af14 Donghe-Zhu 2021-03-24 local rebuild
html 8be810e Donghe-Zhu 2021-03-23 Build site.
Rmd 85274db Donghe-Zhu 2021-03-23 local rebuild
html bf19764 Donghe-Zhu 2021-03-22 Build site.
html 3ec9d3d Donghe-Zhu 2021-03-22 Build site.
Rmd 073fa6a Donghe-Zhu 2021-03-22 local rebuild
html 134ace1 Donghe-Zhu 2021-03-22 Build site.
html f6d70a4 Donghe-Zhu 2021-03-22 Build site.
html 183443b Donghe-Zhu 2021-03-21 Build site.
Rmd adca794 Donghe-Zhu 2021-03-21 local rebuild
html 2e6976b Donghe-Zhu 2021-03-21 Build site.
Rmd 4e7de35 Donghe-Zhu 2021-03-21 local rebuild
html 51a42bd Donghe-Zhu 2021-03-16 Build site.
html f745381 Donghe-Zhu 2021-03-16 Build site.
html aecbf75 Donghe-Zhu 2021-03-14 Build site.
html 1b2a0c2 Donghe-Zhu 2021-03-14 Build site.
html 6733e48 Donghe-Zhu 2021-03-12 Build site.
html ba71e6a Donghe-Zhu 2021-03-12 Build site.
html 9dbf5bd Donghe-Zhu 2021-03-11 Build site.
html a49df30 Donghe-Zhu 2021-03-11 Build site.
html b3348a5 Donghe-Zhu 2021-03-11 Build site.
Rmd 026c061 Donghe-Zhu 2021-03-11 local rebuild
html 1c24ff7 Donghe-Zhu 2021-03-10 Build site.
Rmd dbd8ff8 Donghe-Zhu 2021-03-10 local rebuild
html 94ce5a8 Donghe-Zhu 2021-03-10 Build site.
html db33928 Donghe-Zhu 2021-03-10 Build site.
html 3d1f470 Donghe-Zhu 2021-03-10 Build site.
html 9b7bc66 Donghe-Zhu 2021-03-10 Build site.
Rmd 498be1d Donghe-Zhu 2021-03-10 local rebuild
html 4168b43 Donghe-Zhu 2021-03-10 Build site.
html 5365f80 Donghe-Zhu 2021-03-10 Build site.
html 2b6c392 Donghe-Zhu 2021-03-10 Build site.
html 9f58753 Donghe-Zhu 2021-03-10 Build site.
Rmd e255177 Donghe-Zhu 2021-03-10 local rebuild
html f2a7146 Donghe-Zhu 2021-03-10 Build site.
html fd528ed Donghe-Zhu 2021-03-10 Build site.
html 9d5a62c Donghe-Zhu 2021-03-10 Build site.
Rmd 09b27ef Donghe-Zhu 2021-03-10 local rebuild
html 5d1e70b Donghe-Zhu 2021-03-10 Build site.
Rmd 6125b2d Donghe-Zhu 2021-03-10 local rebuild
html 2093979 Donghe-Zhu 2021-03-10 Build site.
Rmd 558d285 Donghe-Zhu 2021-03-10 local rebuild
html b865899 Donghe-Zhu 2021-03-10 Build site.
html cc2a956 Donghe-Zhu 2021-03-10 Build site.
Rmd 2a633bd Donghe-Zhu 2021-03-10 local rebuild
html 60689fb Donghe-Zhu 2021-03-10 Build site.
html 9230b52 Donghe-Zhu 2021-03-10 Build site.
html dba33c8 Donghe-Zhu 2021-03-09 Build site.
Rmd 6a60e02 Donghe-Zhu 2021-03-09 local rebuild
html 17f1c4a Donghe-Zhu 2021-03-09 Build site.
Rmd 4a4a400 Donghe-Zhu 2021-03-09 local rebuild
html c024d1a Donghe-Zhu 2021-03-09 Build site.
Rmd 34744ec Donghe-Zhu 2021-03-09 local rebuild
html 02f7242 Donghe-Zhu 2021-03-09 Build site.
html 6f50bc6 Donghe-Zhu 2021-03-09 Build site.
Rmd 88f0729 Donghe-Zhu 2021-03-09 local rebuild
html 1691156 Donghe-Zhu 2021-03-08 Build site.
html c0ceaf8 Donghe-Zhu 2021-03-08 Build site.
html 058e0a1 Donghe-Zhu 2021-03-08 Build site.
html 112dea0 Donghe-Zhu 2021-03-08 Build site.
html 1843412 Donghe-Zhu 2021-03-08 Build site.
Rmd d709f6c Donghe-Zhu 2021-03-08 local rebuild
html 65b0cef Donghe-Zhu 2021-03-07 Build site.
html 4083a6c Donghe-Zhu 2021-03-07 Build site.
html 3fbbfa4 Donghe-Zhu 2021-03-07 Build site.
html 627c8fb Donghe-Zhu 2021-03-07 Build site.
html 3607f4d Donghe-Zhu 2021-03-07 Build site.
html 9ef3222 Donghe-Zhu 2021-03-05 Build site.
Rmd 2be54f9 Donghe-Zhu 2021-03-05 local rebuild
html 8c1e978 Donghe-Zhu 2021-03-05 Build site.
html 865f68c Donghe-Zhu 2021-03-05 Build site.
html ee69bc1 Donghe-Zhu 2021-03-05 Build site.
html a79291f Donghe-Zhu 2021-03-05 Build site.
html e8c6f30 Donghe-Zhu 2021-03-04 Build site.
html 59288fe Donghe-Zhu 2021-03-04 Build site.
html 731abc8 Donghe-Zhu 2021-03-04 Build site.
html e2a5a33 Donghe-Zhu 2021-03-04 Build site.
html c7892c1 Donghe-Zhu 2021-03-04 Build site.
html 924430b Donghe-Zhu 2021-03-03 Build site.
html 0d0bca1 Donghe-Zhu 2021-03-03 Build site.
html cb63c16 Donghe-Zhu 2021-03-03 Build site.
html ffda45a Donghe-Zhu 2021-03-03 Build site.
html 691ba81 Donghe-Zhu 2021-03-03 Build site.
html c5e45a2 Donghe-Zhu 2021-03-03 Build site.
html 89c3e58 Donghe-Zhu 2021-03-03 Build site.
html c407a50 Donghe-Zhu 2021-03-03 Build site.
html c911669 Donghe-Zhu 2021-03-03 Build site.
Rmd e1f9d21 Donghe-Zhu 2021-03-03 local rebuild
html b71c719 Donghe-Zhu 2021-03-01 Build site.
html 13666ca Donghe-Zhu 2021-03-01 Build site.
Rmd c3195f4 Donghe-Zhu 2021-03-01 local rebuild
html c6e60fe Donghe-Zhu 2021-03-01 Build site.
Rmd 8ef147d Donghe-Zhu 2021-03-01 local rebuild
html 7a388f7 Donghe-Zhu 2021-03-01 Build site.
html 799e913 Donghe-Zhu 2021-03-01 Build site.
Rmd aa780a7 Donghe-Zhu 2021-03-01 local rebuild
html 66ff99f Donghe-Zhu 2021-03-01 Build site.
html ac9bb7a Donghe-Zhu 2021-02-28 Build site.
html efdc047 Donghe-Zhu 2021-02-28 Build site.
html e9a7418 Donghe-Zhu 2021-02-28 Build site.
Rmd eac1b0e Donghe-Zhu 2021-02-28 local rebuild
html e152917 Donghe-Zhu 2021-02-28 Build site.
html feb991c Donghe-Zhu 2021-02-27 Build site.
Rmd 4563314 Donghe-Zhu 2021-02-27 local rebuild
html 287123c Donghe-Zhu 2021-02-27 Build site.
Rmd 764a9c2 Donghe-Zhu 2021-02-27 local rebuild
html 54d5b5b Donghe-Zhu 2021-02-27 Build site.
Rmd 2e836bf Donghe-Zhu 2021-02-27 local rebuild
html 330f064 Donghe-Zhu 2021-02-27 Build site.
Rmd f360282 Donghe-Zhu 2021-02-27 local rebuild
html adbc9bc Donghe-Zhu 2021-02-27 Build site.
Rmd a8a8f9c Donghe-Zhu 2021-02-27 local rebuild
html 5937141 Donghe-Zhu 2021-02-27 Build site.
Rmd 5f0bfca Donghe-Zhu 2021-02-27 local rebuild
html 4414bbf Donghe-Zhu 2021-02-27 Build site.
html a265efb Donghe-Zhu 2021-02-27 Build site.
html 19edd1e Donghe-Zhu 2021-02-27 Build site.
Rmd 1ae5bb4 Donghe-Zhu 2021-02-27 local rebuild
html f20483f Donghe-Zhu 2021-02-26 Build site.
html 6a2c7b3 Donghe-Zhu 2021-02-25 Build site.
html 02b976d Donghe-Zhu 2021-02-24 Build site.
html 354c224 Donghe-Zhu 2021-02-24 Build site.
Rmd d910d39 Donghe-Zhu 2021-02-24 local rebuild
html 1a0a88a Donghe-Zhu 2021-02-24 Build site.
Rmd 663e891 Donghe-Zhu 2021-02-24 local rebuild
html 57f701e Donghe-Zhu 2021-02-24 Build site.
html 06f3149 Donghe-Zhu 2021-02-16 Build site.
html 401eab3 Donghe-Zhu 2021-02-15 Build site.
html e3bba84 Donghe-Zhu 2021-02-15 Build site.
html 5dce4b1 Donghe-Zhu 2021-02-15 Build site.
Rmd 35b0f2e Donghe-Zhu 2021-02-15 local rebuild
html 4469a0c Donghe-Zhu 2021-02-13 Build site.
Rmd 8186d57 Donghe-Zhu 2021-02-10 apply nr_obs
html 5ae6a69 Donghe-Zhu 2021-02-10 Build site.
Rmd eeb6557 Donghe-Zhu 2021-02-10 local rebuild
html 05385dc Donghe-Zhu 2021-02-10 Build site.
html f791ae4 Donghe-Zhu 2021-02-09 Build site.
html f71ae34 Donghe-Zhu 2021-02-09 Build site.
html c011832 Donghe-Zhu 2021-02-09 Build site.
html a145fa7 Donghe-Zhu 2021-02-09 Build site.
Rmd 37a41c8 Donghe-Zhu 2021-02-09 local rebuild
html c344e42 Donghe-Zhu 2021-02-08 Build site.
Rmd 8f5fa79 Donghe-Zhu 2021-02-08 local rebuild
html 2f095d7 Donghe-Zhu 2021-02-07 Build site.
html 2305044 Donghe-Zhu 2021-02-07 Build site.
Rmd c3638c1 Donghe-Zhu 2021-02-07 local rebuild
html 1fad5f1 Donghe-Zhu 2021-02-07 Build site.
html ca03c39 Donghe-Zhu 2021-02-07 Build site.
html e2ffc14 Donghe-Zhu 2021-02-05 Build site.
html cd7c52c Donghe-Zhu 2021-02-04 Build site.
Rmd bcf91a8 jens-daniel-mueller 2021-02-04 separate MLR tables, added plot residuals vs location
html bcf84f4 Donghe-Zhu 2021-02-02 Build site.
html a518739 Donghe-Zhu 2021-02-01 Build site.
html 61666de Donghe-Zhu 2021-01-31 Build site.
html 865b582 Donghe-Zhu 2021-01-31 Build site.
html 3e68089 Donghe-Zhu 2021-01-31 Build site.
html ecf335c Donghe-Zhu 2021-01-31 Build site.
html a618965 Donghe-Zhu 2021-01-31 Build site.
html 59e006e Donghe-Zhu 2021-01-31 Build site.
html a1c8f87 Donghe-Zhu 2021-01-31 Build site.
html ae5c18f Donghe-Zhu 2021-01-31 Build site.
html b50fe52 Donghe-Zhu 2021-01-31 Build site.
Rmd ac99ae5 jens-daniel-mueller 2021-01-29 code review
html ac99ae5 jens-daniel-mueller 2021-01-29 code review
html b5bdcaf Donghe-Zhu 2021-01-29 Build site.
Rmd b234505 Donghe-Zhu 2021-01-29 MLR approach across all depth
html 442010d Donghe-Zhu 2021-01-29 Build site.
Rmd e67e7dd Donghe-Zhu 2021-01-29 surface equilibrium approach across all latitudes irrespective of gamma
html 372adf5 Donghe-Zhu 2021-01-29 Build site.
html af8788e Donghe-Zhu 2021-01-29 Build site.
html 21c91c9 Donghe-Zhu 2021-01-29 Build site.
html eded038 Donghe-Zhu 2021-01-29 Build site.
html 541d4dd Donghe-Zhu 2021-01-29 Build site.
html 6a75576 Donghe-Zhu 2021-01-28 Build site.
html 16fba40 Donghe-Zhu 2021-01-28 Build site.
Rmd aecf0c6 Donghe-Zhu 2021-01-28 diagnostic ploting
Rmd a02684e Donghe-Zhu 2021-01-28 error
Rmd 4584be9 Donghe-Zhu 2021-01-28 latest
html 12bc567 Donghe-Zhu 2021-01-27 Build site.
html ceed31b Donghe-Zhu 2021-01-27 Build site.
html 342402d Donghe-Zhu 2021-01-27 Build site.
html 5bad5c2 Donghe-Zhu 2021-01-27 Build site.
Rmd c2c9529 Donghe-Zhu 2021-01-27 random subsetting based on lat
html 61efb56 Donghe-Zhu 2021-01-25 Build site.
html 48f638e Donghe-Zhu 2021-01-25 Build site.
html c1cec47 Donghe-Zhu 2021-01-25 Build site.
html 05ffb0c Donghe-Zhu 2021-01-25 Build site.
html 8b97165 Donghe-Zhu 2021-01-25 Build site.
html c569946 Donghe-Zhu 2021-01-24 Build site.
html a2f0d56 Donghe-Zhu 2021-01-23 Build site.
html 28509fc Donghe-Zhu 2021-01-23 Build site.
html 4c28e4a Donghe-Zhu 2021-01-22 Build site.
html 24cc264 jens-daniel-mueller 2021-01-22 cleaned /docs before creating copies
html 88eb28f Donghe-Zhu 2021-01-21 Build site.
html 2679490 Donghe-Zhu 2021-01-21 Build site.
html 7891955 Donghe-Zhu 2021-01-21 Build site.
html d4cf1cb Donghe-Zhu 2021-01-21 Build site.
Rmd 167eeec Donghe-Zhu 2021-01-21 surface DIC calculation with atmospheric equilibrium option
html 1f3e5b6 jens-daniel-mueller 2021-01-20 Build site.
html 0e7bdf1 jens-daniel-mueller 2021-01-15 cleaning template repository
html 73cbef3 jens-daniel-mueller 2021-01-15 Build site.
html 4571843 jens-daniel-mueller 2021-01-14 revision and html deleted for template copying
html 23151cd jens-daniel-mueller 2021-01-14 Build site.
html b3564aa jens-daniel-mueller 2021-01-14 Build site.
html 8d032c3 jens-daniel-mueller 2021-01-14 Build site.
html 022871c Donghe-Zhu 2021-01-13 Build site.
Rmd d44f36f Donghe-Zhu 2021-01-13 reorder analysis final
html 17dee1d jens-daniel-mueller 2021-01-13 Build site.
Rmd 9e04fd7 jens-daniel-mueller 2021-01-13 local rebuild after revision
html a076226 Donghe-Zhu 2021-01-11 Build site.
Rmd 52eff18 Donghe-Zhu 2021-01-09 Implemet model_run and subsetting
html 7cdea0c jens-daniel-mueller 2021-01-06 Build site.
Rmd b5934dd jens-daniel-mueller 2021-01-06 local rebuild after revision
html fa85b93 jens-daniel-mueller 2021-01-06 Build site.
html e5cb81a Donghe-Zhu 2021-01-05 Build site.
Rmd 608cc45 Donghe-Zhu 2021-01-05 modification of analysis
html a499f10 Donghe-Zhu 2021-01-05 Build site.
Rmd 715bdb4 Donghe-Zhu 2021-01-02 model modification
html fb8a752 Donghe-Zhu 2020-12-23 Build site.
Rmd 82e3c9c Donghe-Zhu 2020-12-23 first build after creating model template
html 8fae0b2 Donghe-Zhu 2020-12-21 Build site.
Rmd 00a1322 Donghe-Zhu 2020-12-21 first build after creating model template
Rmd d73ae35 Donghe-Zhu 2020-12-21 first version with lm error
html c8b76b3 jens-daniel-mueller 2020-12-19 Build site.
Rmd b5fedce jens-daniel-mueller 2020-12-19 first build after creating model template
Rmd 8e8abf5 Jens Müller 2020-12-18 Initial commit

1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
# lm_rm_ph <- lm_all %>%
#   filter(str_detect(lm_coeff, "phosphate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
#   filter(
#     str_detect(lm_coeff_filter, "oxygen") &
#       str_detect(lm_coeff_filter, "phosphate")
#   )

# lm_rm_si <- lm_all %>%
#   filter(str_detect(lm_coeff, "silicate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
#   filter(str_detect(lm_coeff_filter, "silicate"))

# lm_rm_o2 <- lm_all %>%
#   filter(str_detect(lm_coeff, "phosphate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
#   filter(
#     str_detect(lm_coeff_filter, "phosphate") &
#       str_detect(lm_coeff_filter, "oxygen")
#   )

# lm_rm <- bind_rows(lm_rm_ph, lm_rm_o2) %>%
#   select(-lm_coeff_filter) %>%
#   unique()

# lm_rm <- lm_rm_ph %>%
#   select(-lm_coeff_filter) %>%
#   unique()
# 
# lm_all <- anti_join(lm_all, lm_rm)

# remove temp sal predictor combination
# lm_all <- lm_all %>%
# # filter(!(
# #   str_detect(lm_coeff, "temp") &
# #     str_detect(lm_coeff, "phosphate_star")
# # )) %>%
# mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
# filter(!(str_detect(lm_coeff_filter, "nitrate") &
#            str_detect(lm_coeff_filter, "phosphate")
# )) %>%
# filter(!(
#   str_detect(lm_coeff_filter, "temp") &
#     str_detect(lm_coeff_filter, "sal")
# )) %>%
# # filter(!(
# #   str_detect(lm_coeff_filter, "oxygen") &
# #     str_detect(lm_coeff_filter, "aou")
# # )) %>%
# select(-lm_coeff_filter)

# remove helper objects
rm(
  i_gamma_slab,
  i_era,
  i_basin,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  lm_full,
  lm_rm_ph,
  lm_rm_si,
  lm_rm_o2,
  lm_rm
)

# lm_full <- lm(paste(
#   params_local$MLR_target,
#   paste(params_local$MLR_predictors, collapse = " + "),
#   sep = " ~ "
# ),
# data = GLODAP_basin_era_slab)
# 
# lm_full <-
#   loess(
#     cstar_tref ~ sal + temp + aou + phosphate,
#     span = 0.1,
#     degree = 1,
#     data = GLODAP_basin_era_slab
#   )

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # number of observations used for each fitting model
      i_nr_obs = nrow(GLODAP_basin_era_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[100]
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        if (i_nr_obs > i_n_predictors) {
          # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                     simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # calculate max VIF
          if (is.na(max(i_lm_fit$coefficients))){
            i_vif_max <- as.double("NA")
          } else{
          i_vif_max <- max(vif(i_lm_fit))
          }
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              nr_obs = i_nr_obs,
              rmse = i_rmse,
              aic = i_aic,
              vif_max = i_vif_max,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
      }
    }
  }
}

rm(
  i_lm_fit,
  coefficients,
  i_rmse,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  i_lm,
  i_basin,
  i_era,
  i_gamma_slab,
  i_nr_obs,
  i_predictors,
  i_aic,
  i_vif_max,
  i_n_predictors,
  i_resid_max
)

5 Prepare coeffcients

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

5.1 Formatting

# select relevant columns
lm_all_fitted <- lm_all_fitted %>%
  select(
    basin,
    gamma_slab,
    era,
    model,
    nr_obs,
    n_predictors,
    term,
    estimate,
    rmse,
    aic,
    vif_max,
    resid_max,
    na_predictor,
    cor_max
  )

# set coefficient to zero if not fitted (=NA)
lm_all_fitted <- lm_all_fitted %>%
  mutate(estimate = if_else(is.na(estimate), 0, estimate))

# Prepare model coefficients for mapping of target variable
lm_all_fitted_wide <- lm_all_fitted %>%
  pivot_wider(
    values_from = estimate,
    names_from = term,
    names_prefix = "coeff_",
    values_fill = 0
  )

5.2 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.

Please note, that currently the lm() function produces NAs for some predictors. It is not yet entirely clear when this happens, but presumably it is caused by some form of collinearity between predictors, such that including another predictor does not help to explain the target variable any better. The issues also expresses as exactly identical rmse values of different models. As an interim solution, models with fitted NA predictors were not included.

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)

5.3 VIF threshold

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

  • 10

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

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(vif_max <= params_local$vif_max)

lm_all_fitted_wide_check <- lm_all_fitted_wide %>%
  group_by(era, basin, gamma_slab) %>% 
  count() %>% 
  filter(n < params_local$MLR_number)
# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide %>%
  select(basin, gamma_slab, n_predictors, model, era, nr_obs, rmse, aic, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    aic_sum = aic + lag(aic)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na() %>%
  filter(eras != "1982-1999 --> 2010-2019")

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

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

5.4 RMSE tables

5.4.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab n_predictors model nr_obs rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 123 1.0325315 370.9342 3.750361 1982-1999 –> 2000-2009 2.3684292 1095.6877
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 123 1.0373298 370.0748 4.024648 1982-1999 –> 2000-2009 2.3736782 1092.9686
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 123 1.0372836 372.0638 4.010956 1982-1999 –> 2000-2009 2.3729762 1096.7534
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 123 1.0385588 372.3660 3.912876 1982-1999 –> 2000-2009 2.3758121 1097.5414
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 123 1.0400680 372.7233 3.948811 1982-1999 –> 2000-2009 2.3776095 1097.9883
Atlantic (-Inf,26] 4 cstar_tref ~ sal + temp + aou + phosphate 123 1.0434351 371.5184 4.185501 1982-1999 –> 2000-2009 2.3813481 1094.8990
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 123 1.0306965 370.4966 3.625466 1982-1999 –> 2000-2009 2.3668840 1095.3404
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 123 1.0434089 373.5122 4.175389 1982-1999 –> 2000-2009 2.3803532 1098.5915
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 123 1.0447623 373.8311 4.206456 1982-1999 –> 2000-2009 2.3819670 1098.9914
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 123 1.0420859 373.2001 3.990360 1982-1999 –> 2000-2009 2.3804372 1098.7169
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 107 1.0777950 333.6851 2.797934 2000-2009 –> 2010-2019 2.1103265 704.6194
Atlantic (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 107 1.2078500 356.0650 3.540525 2000-2009 –> 2010-2019 2.2451798 726.1398
Atlantic (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 107 1.1371667 345.1604 3.199051 2000-2009 –> 2010-2019 2.1744503 717.2242
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 107 1.0822293 334.5638 2.817675 2000-2009 –> 2010-2019 2.1207882 706.9298
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 107 1.0844509 335.0026 2.825586 2000-2009 –> 2010-2019 2.1245189 707.7259
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 107 1.2078499 358.0650 3.541927 2000-2009 –> 2010-2019 2.2385464 728.5616
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 107 1.1426679 346.1931 3.375978 2000-2009 –> 2010-2019 2.1860767 719.7053
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 107 1.1451135 346.6507 3.438334 2000-2009 –> 2010-2019 2.1898759 720.4817
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 107 1.0867390 335.4537 2.830156 2000-2009 –> 2010-2019 2.1288249 708.6538
Atlantic (-Inf,26] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 107 1.1463671 346.8848 3.464326 2000-2009 –> 2010-2019 2.1930429 721.1660
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 821 3.2829467 4295.8105 13.818871 1982-1999 –> 2000-2009 6.5475642 12246.1579
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 821 3.5428368 4420.9085 13.548854 1982-1999 –> 2000-2009 6.9895818 12536.8334
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + aou + nitrate 821 3.4333789 4367.3778 15.749969 1982-1999 –> 2000-2009 6.8681178 12470.6600
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 821 3.3533061 4330.6296 14.511590 1982-1999 –> 2000-2009 6.7148555 12370.2182
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 821 3.3566519 4332.2672 14.564484 1982-1999 –> 2000-2009 6.7223976 12375.6608
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 821 3.2858870 4297.2804 14.997443 1982-1999 –> 2000-2009 6.6243388 12315.8398
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 821 3.6049736 4449.4574 14.254127 1982-1999 –> 2000-2009 7.1413754 12643.7047
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 821 3.6130845 4453.1476 14.367489 1982-1999 –> 2000-2009 7.1605228 12656.8987
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 821 3.3734134 4340.4461 14.755803 1982-1999 –> 2000-2009 6.7626486 12405.0517
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 821 3.6144538 4453.7698 14.406160 1982-1999 –> 2000-2009 7.1663179 12661.3236
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 792 3.2824341 4144.3177 10.799840 2000-2009 –> 2010-2019 6.5653808 8440.1281
Atlantic (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 792 3.6009407 4291.0117 11.213529 2000-2009 –> 2010-2019 7.1437775 8711.9202
Atlantic (26,26.5] 4 cstar_tref ~ sal + temp + aou + nitrate 792 3.3868137 4191.9037 10.570209 2000-2009 –> 2010-2019 6.8201926 8559.2815
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 792 3.3416892 4172.6573 10.112063 2000-2009 –> 2010-2019 6.6949953 8503.2869
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 792 3.3438703 4173.6908 10.113205 2000-2009 –> 2010-2019 6.7005222 8505.9580
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 792 3.2434298 4125.3827 10.619757 2000-2009 –> 2010-2019 6.5293168 8422.6631
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 792 3.6456610 4310.5623 10.558861 2000-2009 –> 2010-2019 7.2506346 8760.0197
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 792 3.6511837 4312.9601 10.565733 2000-2009 –> 2010-2019 7.2642682 8766.1077
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 792 3.3568471 4179.8261 10.136893 2000-2009 –> 2010-2019 6.7302604 8520.2721
Atlantic (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 792 3.6514965 4313.0958 10.569140 2000-2009 –> 2010-2019 7.2659502 8766.8655
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1062 3.1174403 5442.8394 9.457124 1982-1999 –> 2000-2009 6.1732643 15078.3772
Atlantic (26.5,26.75] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1062 3.1882859 5488.5682 10.210495 1982-1999 –> 2000-2009 6.2868994 15174.8634
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1062 3.2029266 5500.2994 9.635434 1982-1999 –> 2000-2009 6.3435029 15239.6298
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1062 3.1279799 5450.0083 10.324034 1982-1999 –> 2000-2009 6.1871300 15089.6734
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1062 3.1458329 5462.0966 10.510256 1982-1999 –> 2000-2009 6.2281889 15130.4333
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1062 3.1633266 5473.8752 10.703716 1982-1999 –> 2000-2009 6.2678257 15169.3699
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1062 3.1680484 5477.0433 10.749854 1982-1999 –> 2000-2009 6.2794390 15180.9508
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1062 3.1764844 5482.6917 9.784024 1982-1999 –> 2000-2009 6.2916664 15191.2195
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1062 3.2040904 5501.0710 9.921703 1982-1999 –> 2000-2009 6.3488333 15245.4316
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1062 3.0706532 5410.7205 9.342972 1982-1999 –> 2000-2009 6.0536869 14954.7906
Atlantic (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 991 3.4589265 5285.9155 9.305480 2000-2009 –> 2010-2019 6.5763667 10728.7549
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 991 3.4996009 5309.0864 9.676753 2000-2009 –> 2010-2019 6.7025276 10809.3858
Atlantic (26.5,26.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 991 3.5344503 5326.7257 11.170343 2000-2009 –> 2010-2019 6.7511387 10834.1316
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 991 3.5094388 5314.6502 11.405243 2000-2009 –> 2010-2019 6.6374187 10764.6585
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 991 3.5181132 5319.5432 11.394774 2000-2009 –> 2010-2019 6.6639461 10781.6398
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 991 3.5335249 5328.2067 11.447911 2000-2009 –> 2010-2019 6.6968515 10802.0819
Atlantic (26.5,26.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 991 3.5373943 5330.3759 11.456164 2000-2009 –> 2010-2019 6.7054427 10807.4192
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 991 3.5039859 5311.5682 9.359935 2000-2009 –> 2010-2019 6.6804703 10794.2599
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 991 3.5232375 5322.4280 9.360483 2000-2009 –> 2010-2019 6.7273279 10823.4990
Atlantic (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 991 3.4937733 5305.7831 10.866053 2000-2009 –> 2010-2019 6.5644265 10716.5036
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1823 2.0174770 7746.3868 12.816682 1982-1999 –> 2000-2009 3.6572760 19777.2434
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1823 2.0659770 7830.9993 14.424827 1982-1999 –> 2000-2009 3.7385144 19984.0002
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1823 1.9766315 7671.8129 13.781569 1982-1999 –> 2000-2009 3.6296205 19752.9816
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1823 2.0499436 7804.5935 13.904779 1982-1999 –> 2000-2009 3.7732788 20147.4896
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1823 2.1289287 7942.4364 21.053826 1982-1999 –> 2000-2009 3.8927498 20431.1607
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1823 2.1595222 7994.4580 23.932999 1982-1999 –> 2000-2009 3.9379086 20534.8281
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1823 2.1074981 7905.5485 13.059966 1982-1999 –> 2000-2009 3.8560682 20339.7360
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1823 2.1758816 8021.9740 15.627762 1982-1999 –> 2000-2009 3.9715478 20623.0696
Atlantic (26.75,27] 4 cstar_tref ~ temp + aou + silicate + phosphate 1823 2.1683983 8007.4129 14.911858 1982-1999 –> 2000-2009 3.9559898 20578.2054
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1823 2.0641208 7829.7220 15.633375 1982-1999 –> 2000-2009 3.5775700 19357.0333
Atlantic (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1838 2.3838792 8423.4661 22.754277 2000-2009 –> 2010-2019 4.4013562 16169.8528
Atlantic (26.75,27] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1838 2.4862011 8575.9566 27.327135 2000-2009 –> 2010-2019 4.5521781 16406.9559
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1838 2.4115905 8465.9512 22.597595 2000-2009 –> 2010-2019 4.5909150 16493.6896
Atlantic (26.75,27] 4 cstar_tref ~ sal + aou + silicate + phosphate 1838 2.4303333 8492.4104 24.551490 2000-2009 –> 2010-2019 4.6134986 16524.5690
Atlantic (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1838 2.3752932 8410.2024 25.710403 2000-2009 –> 2010-2019 4.3519247 16082.0153
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1838 2.4071291 8459.1444 25.463849 2000-2009 –> 2010-2019 4.4570727 16263.7379
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1838 2.4398471 8508.7725 25.630834 2000-2009 –> 2010-2019 4.5687758 16451.2089
Atlantic (26.75,27] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1838 2.4510436 8525.6031 25.660188 2000-2009 –> 2010-2019 4.6105658 16520.0611
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1838 2.4950646 8591.0386 23.116995 2000-2009 –> 2010-2019 4.6025628 16496.5871
Atlantic (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1838 2.1210877 7994.1091 22.432680 2000-2009 –> 2010-2019 4.1852085 15823.8311
Atlantic (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1559 1.9154566 6464.8132 15.287781 1982-1999 –> 2000-2009 3.6595914 16793.2928
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1559 1.8319102 6325.7606 10.694444 1982-1999 –> 2000-2009 3.5337055 16525.9099
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1559 1.8793477 6403.4736 8.998018 1982-1999 –> 2000-2009 3.5957228 16646.1713
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1559 1.8550315 6364.8678 9.477884 1982-1999 –> 2000-2009 3.4250171 16144.0336
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1559 1.8625185 6377.4268 9.147187 1982-1999 –> 2000-2009 3.4192895 16112.4532
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1559 1.8837810 6412.8203 8.440864 1982-1999 –> 2000-2009 3.4652098 16229.9098
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1559 1.8884128 6420.4774 8.297018 1982-1999 –> 2000-2009 3.4817695 16276.8061
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1559 2.0014493 6601.7419 13.608198 1982-1999 –> 2000-2009 3.6686259 16694.5678
Atlantic (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1559 2.0141946 6621.5344 13.514345 1982-1999 –> 2000-2009 3.6907733 16743.7273
Atlantic (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1559 2.0633498 6696.7137 12.523181 1982-1999 –> 2000-2009 3.7734219 16922.1993
Atlantic (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1614 2.3200971 7311.0476 17.981749 2000-2009 –> 2010-2019 4.2355537 13775.8608
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1614 2.0820949 6961.6667 10.747860 2000-2009 –> 2010-2019 3.9140052 13287.4272
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1614 2.2004347 7140.1116 11.848841 2000-2009 –> 2010-2019 4.2653036 13839.1202
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate 1614 2.1987074 7135.5768 13.608209 2000-2009 –> 2010-2019 4.0780550 13539.0504
Atlantic (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1614 2.1986925 7137.5549 13.623827 2000-2009 –> 2010-2019 4.0537240 13502.4226
Atlantic (27,27.25] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 1614 2.2884650 7264.7344 14.940040 2000-2009 –> 2010-2019 4.3937238 14022.1437
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1614 2.1974375 7135.7119 13.756871 2000-2009 –> 2010-2019 4.0599560 13513.1387
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1614 2.2179016 7165.6341 13.737545 2000-2009 –> 2010-2019 4.1016826 13578.4544
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1614 2.3138470 7302.3400 14.937176 2000-2009 –> 2010-2019 4.3045484 13887.2928
Atlantic (27,27.25] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1614 2.2217600 7171.2449 13.731026 2000-2009 –> 2010-2019 4.1101729 13591.7224
Atlantic (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1594 2.2130263 7069.9987 21.291778 1982-1999 –> 2000-2009 3.8695038 18156.4240
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1594 2.4679546 7417.5825 16.398524 1982-1999 –> 2000-2009 4.8896550 20690.0017
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1594 2.4527680 7397.9044 12.750566 1982-1999 –> 2000-2009 4.9877365 20933.4378
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1594 2.6239029 7612.9213 20.990014 1982-1999 –> 2000-2009 4.7909510 20245.8255
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1594 2.1002437 6903.2422 12.770827 1982-1999 –> 2000-2009 3.7990850 18135.0241
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1594 2.6454546 7638.9993 21.615505 1982-1999 –> 2000-2009 4.8723562 20428.7276
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + nitrate + silicate 1594 2.3114030 7206.6568 11.878827 1982-1999 –> 2000-2009 4.0314825 18507.9516
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1594 2.1964193 7045.9852 13.524871 1982-1999 –> 2000-2009 3.9154267 18345.6912
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1594 2.1906270 7037.5667 15.334826 1982-1999 –> 2000-2009 3.9065256 18326.8539
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1594 2.2507764 7123.9215 10.211508 1982-1999 –> 2000-2009 4.0798197 18780.7643
Atlantic (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1540 2.6693731 7408.4092 20.822684 2000-2009 –> 2010-2019 4.8823994 14478.4079
Atlantic (27.25,27.5] 4 cstar_tref ~ aou + nitrate + silicate + phosphate_star 1540 2.9151600 7677.6988 21.564785 2000-2009 –> 2010-2019 5.6783520 15453.5151
Atlantic (27.25,27.5] 4 cstar_tref ~ sal + aou + nitrate + silicate 1540 2.8583983 7617.1359 15.682935 2000-2009 –> 2010-2019 5.3858945 15108.7185
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1540 2.8539542 7614.3435 14.757453 2000-2009 –> 2010-2019 5.3219088 15031.9260
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1540 2.6885411 7430.4467 16.633928 2000-2009 –> 2010-2019 5.1413090 14828.3510
Atlantic (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1540 2.6767284 7416.8842 13.592298 2000-2009 –> 2010-2019 4.7769720 14320.1264
Atlantic (27.25,27.5] 4 cstar_tref ~ temp + aou + nitrate + silicate 1540 2.9918179 7757.6448 11.502937 2000-2009 –> 2010-2019 5.3032209 14964.3016
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1540 2.7123999 7457.6589 13.908112 2000-2009 –> 2010-2019 4.9088192 14503.6440
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1540 2.6851756 7426.5888 16.530589 2000-2009 –> 2010-2019 4.8758026 14464.1555
Atlantic (27.25,27.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1540 2.7878499 7542.1643 13.993253 2000-2009 –> 2010-2019 5.0386263 14666.0858
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2189 2.5471933 10319.5082 17.587851 1982-1999 –> 2000-2009 4.7569311 26851.3231
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2189 2.3971701 10053.7498 15.636844 1982-1999 –> 2000-2009 4.6982905 26888.1851
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2189 2.3972116 10053.8255 14.482314 1982-1999 –> 2000-2009 4.4977795 26207.2660
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2189 2.5467402 10318.7294 17.602962 1982-1999 –> 2000-2009 4.7456787 26813.9576
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2189 2.3935619 10047.1550 14.390315 1982-1999 –> 2000-2009 4.4603554 26079.5439
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2189 2.4106189 10078.2430 14.012959 1982-1999 –> 2000-2009 4.4771004 26109.5044
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2189 2.5804698 10376.3320 17.181024 1982-1999 –> 2000-2009 4.8029182 26950.9805
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2189 2.4118766 10080.5265 13.977321 1982-1999 –> 2000-2009 4.4803366 26118.9344
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2189 2.4097563 10076.6760 14.011715 1982-1999 –> 2000-2009 4.4771321 26111.1685
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2189 2.4275673 10106.9158 14.419301 1982-1999 –> 2000-2009 4.5277677 26257.0494
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2130 2.7686691 10396.9205 20.221873 2000-2009 –> 2010-2019 5.3158624 20716.4287
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2130 2.5794122 10095.2903 18.353391 2000-2009 –> 2010-2019 4.9765823 20149.0400
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate 2130 2.7306643 10336.0394 14.849561 2000-2009 –> 2010-2019 5.1855552 20491.9568
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2130 2.7161747 10315.3747 14.691108 2000-2009 –> 2010-2019 5.1133863 20369.2002
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2130 2.7574710 10379.6556 20.154808 2000-2009 –> 2010-2019 5.3042112 20698.3850
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 2130 2.7135601 10311.2719 14.940345 2000-2009 –> 2010-2019 5.1071219 20358.4270
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2130 2.7211804 10323.2183 16.311948 2000-2009 –> 2010-2019 5.1317993 20401.4613
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2130 2.7321112 10340.2962 16.221118 2000-2009 –> 2010-2019 5.1439878 20420.8227
Atlantic (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2130 2.7198078 10321.0690 16.219806 2000-2009 –> 2010-2019 5.1295641 20397.7450
Atlantic (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 2130 2.7949699 10435.1971 18.121932 2000-2009 –> 2010-2019 5.2225372 20542.1129
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + nitrate + phosphate 779 1.6304551 2984.3489 13.534985 1982-1999 –> 2000-2009 3.3134011 8116.5875
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 779 1.5167730 2873.7457 13.982378 1982-1999 –> 2000-2009 3.0428640 7749.6967
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 779 1.6222130 2978.4530 12.586270 1982-1999 –> 2000-2009 3.2855914 8081.8167
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 779 1.5517635 2909.2790 12.833744 1982-1999 –> 2000-2009 3.1488085 7905.2060
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 779 1.5324938 2889.8107 14.232985 1982-1999 –> 2000-2009 3.0714680 7787.9550
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 779 1.6574424 3011.9257 15.359880 1982-1999 –> 2000-2009 3.2666645 8027.9059
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 779 1.6266658 2982.7237 11.366852 1982-1999 –> 2000-2009 3.1944663 7929.8599
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 779 1.5855732 2942.8600 12.925051 1982-1999 –> 2000-2009 3.2149441 7991.6899
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 779 1.5657381 2923.2469 14.739541 1982-1999 –> 2000-2009 3.1313985 7866.7771
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 779 1.6331099 2988.8836 13.049400 1982-1999 –> 2000-2009 3.3044843 8104.9075
Atlantic (27.75,27.85] 4 cstar_tref ~ sal + aou + nitrate + phosphate 770 1.6783957 2994.6365 13.209865 2000-2009 –> 2010-2019 3.3088508 5978.9853
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 770 1.5971833 2920.2575 13.396783 2000-2009 –> 2010-2019 3.1139563 5794.0032
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 770 1.6530124 2973.1683 11.506021 2000-2009 –> 2010-2019 3.2752253 5951.6213
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 770 1.6743257 2992.8976 12.064362 2000-2009 –> 2010-2019 3.2260893 5902.1766
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 770 1.6063416 2929.0626 13.673612 2000-2009 –> 2010-2019 3.1388353 5818.8733
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 770 1.7252972 3039.0803 15.355009 2000-2009 –> 2010-2019 3.3827396 6051.0061
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 770 1.6984963 3014.9701 12.119011 2000-2009 –> 2010-2019 3.2840695 5957.8301
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 770 1.7409349 3052.9757 12.271227 2000-2009 –> 2010-2019 3.3797863 6047.3271
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 770 1.6277139 2949.4172 14.213820 2000-2009 –> 2010-2019 3.1934520 5872.6641
Atlantic (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 770 1.7331404 3046.0653 12.207818 2000-2009 –> 2010-2019 3.3662503 6034.9488
Atlantic (27.85,27.95] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 738 3.2104369 3827.9700 33.050238 1982-1999 –> 2000-2009 6.1141219 10479.6741
Atlantic (27.85,27.95] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 738 3.2068423 3828.3165 33.006872 1982-1999 –> 2000-2009 6.0726524 10446.9383
Atlantic (27.85,27.95] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 738 3.2074758 3826.6080 32.807267 1982-1999 –> 2000-2009 6.0850738 10454.1981
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 738 3.1807276 3816.2476 25.171328 1982-1999 –> 2000-2009 5.8979120 10292.5724
Atlantic (27.85,27.95] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 738 3.1856526 3816.5312 26.631992 1982-1999 –> 2000-2009 5.9156598 10303.4360
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 738 3.1780149 3814.9882 25.036548 1982-1999 –> 2000-2009 5.9078930 10303.7666
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 738 2.7069777 3578.2025 21.146803 1982-1999 –> 2000-2009 5.4358303 10065.9769
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 738 2.8296759 3643.6326 21.637149 1982-1999 –> 2000-2009 5.7253286 10289.9350
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 738 2.8358734 3644.8618 21.642649 1982-1999 –> 2000-2009 5.7526791 10308.6123
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 738 2.8294063 3643.4920 21.495006 1982-1999 –> 2000-2009 5.6936617 10260.6639
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 814 3.1902690 4212.6833 30.064558 2000-2009 –> 2010-2019 6.3709966 8028.9309
Atlantic (27.85,27.95] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 814 3.3630474 4296.5477 31.974580 2000-2009 –> 2010-2019 6.5487000 8113.0790
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 814 3.2920626 4263.8172 30.727354 2000-2009 –> 2010-2019 6.4700774 8078.8054
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 814 3.1875331 4211.2866 30.175457 2000-2009 –> 2010-2019 6.6471017 8151.5682
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 814 3.1966521 4215.9373 30.479841 2000-2009 –> 2010-2019 6.7398447 8191.4722
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 814 3.2842760 4259.9620 30.509318 2000-2009 –> 2010-2019 5.9912538 7838.1645
Atlantic (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 814 3.3122438 4273.7668 30.903220 2000-2009 –> 2010-2019 6.7670082 8211.9974
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 814 3.6564838 4434.7371 24.134915 2000-2009 –> 2010-2019 6.4861596 8078.3698
Atlantic (27.85,27.95] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 814 3.6638256 4436.0027 23.510018 2000-2009 –> 2010-2019 6.4996991 8080.8646
Atlantic (27.85,27.95] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 814 3.6356054 4425.4147 24.695960 2000-2009 –> 2010-2019 6.4650117 8068.9067
Atlantic (27.95,28.05] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 924 4.1757198 5277.5203 25.244412 1982-1999 –> 2000-2009 7.8478655 14408.0040
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 924 4.3144718 5337.9280 28.227537 1982-1999 –> 2000-2009 7.8918359 14380.7571
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 924 4.3587015 5356.7763 29.119231 1982-1999 –> 2000-2009 7.9527767 14415.2273
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 924 4.1742910 5276.8879 23.705230 1982-1999 –> 2000-2009 8.1029820 14633.7325
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 924 4.0524374 5222.1390 22.484599 1982-1999 –> 2000-2009 7.8121678 14431.6330
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 924 4.1551247 5268.3832 23.504996 1982-1999 –> 2000-2009 8.0628986 14607.3335
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 924 3.9566070 5177.9133 19.155773 1982-1999 –> 2000-2009 7.7935057 14455.5103
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 924 4.1217790 5253.4928 24.422880 1982-1999 –> 2000-2009 7.7643666 14356.8861
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 924 4.0129472 5204.0423 24.166708 1982-1999 –> 2000-2009 7.5447565 14203.9124
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 924 4.1111159 5248.7058 24.251236 1982-1999 –> 2000-2009 7.7479094 14346.7630
Atlantic (27.95,28.05] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 946 3.4935772 5065.3841 28.673679 2000-2009 –> 2010-2019 7.6692970 10342.9044
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 946 3.4788083 5057.3688 32.055293 2000-2009 –> 2010-2019 7.7932801 10395.2968
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 946 3.4836314 5059.9901 32.483938 2000-2009 –> 2010-2019 7.8423329 10416.7664
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 946 3.6843888 5165.9977 24.692669 2000-2009 –> 2010-2019 7.8586797 10442.8856
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 946 3.5668713 5104.6669 25.031565 2000-2009 –> 2010-2019 7.6193087 10326.8060
Atlantic (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 946 3.6716514 5159.4455 24.606873 2000-2009 –> 2010-2019 7.8267760 10427.8287
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 946 3.7145899 5181.4433 21.023841 2000-2009 –> 2010-2019 7.6711968 10359.3566
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 946 3.4691355 5052.1008 28.260932 2000-2009 –> 2010-2019 7.5909145 10305.5936
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 946 3.4174477 5023.6991 27.294519 2000-2009 –> 2010-2019 7.4303949 10227.7415
Atlantic (27.95,28.05] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 946 3.4663668 5050.5902 28.181459 2000-2009 –> 2010-2019 7.5774827 10299.2960
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 622 0.9998555 1778.9797 6.138973 1982-1999 –> 2000-2009 1.8893779 4594.5995
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 622 1.0115009 1793.3850 5.997384 1982-1999 –> 2000-2009 1.9038566 4615.8484
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 622 1.0025546 1782.3334 6.048695 1982-1999 –> 2000-2009 1.8964906 4608.6045
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 622 1.0107476 1792.4582 5.883123 1982-1999 –> 2000-2009 1.9132933 4639.3567
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 622 0.9841424 1759.2746 7.226845 1982-1999 –> 2000-2009 1.8548096 4528.7879
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 622 1.0157076 1798.5480 5.873878 1982-1999 –> 2000-2009 1.9140977 4635.5150
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 622 1.0208400 1804.8181 5.756190 1982-1999 –> 2000-2009 1.9275865 4661.7093
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 622 1.0043925 1784.6118 6.004830 1982-1999 –> 2000-2009 1.9018442 4619.3300
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 622 1.0184964 1801.9589 5.816384 1982-1999 –> 2000-2009 1.9216078 4650.2056
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 622 1.0763763 1870.7181 11.424966 1982-1999 –> 2000-2009 1.9156532 4561.2119
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 616 1.0390641 1809.3431 8.425358 2000-2009 –> 2010-2019 2.0389196 3588.3228
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 616 1.0470929 1818.8260 8.314273 2000-2009 –> 2010-2019 2.0585938 3612.2110
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 616 1.0451768 1816.5694 8.277114 2000-2009 –> 2010-2019 2.0477313 3598.9028
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 616 1.0578173 1831.3801 8.134986 2000-2009 –> 2010-2019 2.0685649 3623.8383
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 616 0.9896539 1749.3195 9.758830 2000-2009 –> 2010-2019 1.9737963 3508.5941
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 616 1.0547209 1827.7686 8.133869 2000-2009 –> 2010-2019 2.0704286 3626.3165
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 616 1.0615985 1835.7761 8.019139 2000-2009 –> 2010-2019 2.0824386 3640.5942
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 616 1.0476595 1819.4925 8.244426 2000-2009 –> 2010-2019 2.0520519 3604.1042
Atlantic (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 616 1.0579259 1831.5066 8.093710 2000-2009 –> 2010-2019 2.0764223 3633.4654
Atlantic (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 616 1.0216517 1788.5225 13.142089 2000-2009 –> 2010-2019 2.0946162 3655.2912
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 732 0.7713130 1711.1824 5.453134 1982-1999 –> 2000-2009 1.4036967 4213.3423
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 732 0.7664085 1701.8434 5.326021 1982-1999 –> 2000-2009 1.3958613 4191.9721
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 732 0.7743331 1716.9033 5.356663 1982-1999 –> 2000-2009 1.4121118 4241.0657
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 732 0.7774233 1722.7343 5.284710 1982-1999 –> 2000-2009 1.4195851 4264.6354
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 732 0.7702560 1709.1747 5.243834 1982-1999 –> 2000-2009 1.4053891 4222.5708
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 732 0.7749842 1718.1339 5.174655 1982-1999 –> 2000-2009 1.4176773 4262.1771
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 732 0.7763969 1720.8001 5.310723 1982-1999 –> 2000-2009 1.4186747 4263.1689
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 732 0.7823123 1731.9121 5.376068 1982-1999 –> 2000-2009 1.4239501 4271.6990
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 732 0.7727055 1713.8229 5.212222 1982-1999 –> 2000-2009 1.4122125 4244.9944
Atlantic (28.1,28.15] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 732 0.8104758 1783.6902 9.303686 1982-1999 –> 2000-2009 1.3992656 4100.8539
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 701 0.8135518 1714.0552 6.721442 2000-2009 –> 2010-2019 1.5848648 3425.2375
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 701 0.8144621 1713.6231 6.686258 2000-2009 –> 2010-2019 1.5956869 3441.4986
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 701 0.8130228 1713.1432 6.684612 2000-2009 –> 2010-2019 1.5794312 3414.9866
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 701 0.8199440 1725.0278 6.565216 2000-2009 –> 2010-2019 1.5942770 3441.9312
Atlantic (28.1,28.15] 4 cstar_tref ~ sal + temp + aou + phosphate 701 0.8201541 1723.3871 6.548175 2000-2009 –> 2010-2019 1.6013753 3451.2560
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 701 0.7996303 1689.8566 7.409766 2000-2009 –> 2010-2019 1.5807366 3419.5101
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 701 0.8196724 1724.5633 6.546798 2000-2009 –> 2010-2019 1.5899284 3433.7380
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 701 0.8269045 1736.8791 6.440395 2000-2009 –> 2010-2019 1.6018886 3455.0130
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 701 0.8232070 1730.5961 6.518310 2000-2009 –> 2010-2019 1.5996039 3451.3962
Atlantic (28.1,28.15] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 701 0.8230329 1730.2995 6.511281 2000-2009 –> 2010-2019 1.5957383 3444.1224
Atlantic (28.15,28.2] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1187 0.5419498 1928.2908 2.198355 1982-1999 –> 2000-2009 1.0823995 5516.6362
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1187 0.5625414 2016.8202 1.834439 1982-1999 –> 2000-2009 1.0822126 5430.7804
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1187 0.5399010 1919.2989 2.036715 1982-1999 –> 2000-2009 1.0575998 5316.3450
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + temp + aou + nitrate 1187 0.5717205 2053.2448 1.824204 1982-1999 –> 2000-2009 1.1003283 5541.0449
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1187 0.5714117 2053.9622 1.844706 1982-1999 –> 2000-2009 1.0973898 5521.5796
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1187 0.5716988 2055.1545 1.828374 1982-1999 –> 2000-2009 1.0965490 5513.2239
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1187 0.5570781 1993.6517 2.045841 1982-1999 –> 2000-2009 1.0853728 5480.8175
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1187 0.3375829 804.5289 1.524746 1982-1999 –> 2000-2009 0.7432046 3116.3841
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1187 0.5505443 1965.6435 2.265494 1982-1999 –> 2000-2009 1.1010624 5636.0907
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1187 0.5473605 1951.8747 2.270904 1982-1999 –> 2000-2009 1.0974097 5618.5321
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1172 0.7100351 2537.3105 5.446448 2000-2009 –> 2010-2019 1.2725765 4554.1308
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 1172 0.7148953 2551.3005 5.206240 2000-2009 –> 2010-2019 1.3025346 4669.7426
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 1172 0.7306117 2604.2733 6.039772 2000-2009 –> 2010-2019 1.2975943 4639.7624
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1172 0.7068049 2526.6226 5.901941 2000-2009 –> 2010-2019 1.2467059 4445.9215
Atlantic (28.15,28.2] 4 cstar_tref ~ sal + temp + aou + nitrate 1172 0.7339259 2612.8820 6.454355 2000-2009 –> 2010-2019 1.3056464 4666.1268
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1172 0.7158055 2556.2829 5.399483 2000-2009 –> 2010-2019 1.2872172 4610.2451
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1172 0.7129486 2546.9091 5.341940 2000-2009 –> 2010-2019 1.2846474 4602.0636
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1172 0.7291771 2599.6661 5.725495 2000-2009 –> 2010-2019 1.2862552 4593.3178
Atlantic (28.15,28.2] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1172 0.7220409 2576.6132 5.429331 2000-2009 –> 2010-2019 1.3001816 4658.3684
Atlantic (28.15,28.2] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1172 0.6300585 2257.1983 9.797814 2000-2009 –> 2010-2019 0.9676414 3061.7272
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate 2098 0.3461942 1514.9361 1.967321 1982-1999 –> 2000-2009 0.6483996 3176.7746
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2098 0.3439914 1490.1519 2.094965 1982-1999 –> 2000-2009 0.6458920 3146.5019
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 2098 0.3507038 1569.2412 1.905473 1982-1999 –> 2000-2009 0.6526544 3224.8185
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2098 0.3215811 1207.4805 2.070664 1982-1999 –> 2000-2009 0.6212927 2809.8178
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2098 0.3431791 1480.2329 1.865403 1982-1999 –> 2000-2009 0.6422665 3067.0946
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + temp + aou + nitrate 2098 0.3553655 1624.6493 1.942998 1982-1999 –> 2000-2009 0.6594262 3331.9124
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2098 0.3441469 1492.0485 2.090295 1982-1999 –> 2000-2009 0.6459110 3145.0400
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2098 0.3443450 1494.4634 2.088833 1982-1999 –> 2000-2009 0.6462902 3151.9078
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2098 0.3547213 1619.0359 1.977626 1982-1999 –> 2000-2009 0.6585642 3322.9815
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2098 0.3426963 1474.3247 2.091905 1982-1999 –> 2000-2009 0.6406669 3033.4231
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate 2152 0.3787264 1940.1806 2.433037 2000-2009 –> 2010-2019 0.7249206 3455.1167
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2152 0.3725257 1871.1298 2.592618 2000-2009 –> 2010-2019 0.7165170 3361.2817
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 2152 0.3892246 2057.8628 2.334603 2000-2009 –> 2010-2019 0.7399284 3627.1040
Atlantic (28.2, Inf] 4 cstar_tref ~ sal + aou + nitrate + silicate 2152 0.3982608 2156.6413 2.382638 2000-2009 –> 2010-2019 0.7534353 3779.0350
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 2152 0.3451383 1542.4735 2.599095 2000-2009 –> 2010-2019 0.6667194 2749.9540
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2152 0.3815918 1974.6210 2.527483 2000-2009 –> 2010-2019 0.7247709 3454.8539
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2152 0.3727497 1873.7165 2.589800 2000-2009 –> 2010-2019 0.7168965 3365.7650
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2152 0.3730090 1876.7100 2.589051 2000-2009 –> 2010-2019 0.7173540 3371.1734
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2152 0.3958285 2132.2747 2.481379 2000-2009 –> 2010-2019 0.7505498 3751.3105
Atlantic (28.2, Inf] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2152 0.3716010 1860.4332 2.590160 2000-2009 –> 2010-2019 0.7142973 3334.7579
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4068 5.8941008 25991.3573 33.665781 1982-1999 –> 2000-2009 12.1116161 72706.7570
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4068 6.2543379 26472.0117 30.183795 1982-1999 –> 2000-2009 12.7838792 73889.8410
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4068 6.2120635 26418.8320 29.738900 1982-1999 –> 2000-2009 12.6909147 73726.5445
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 4068 5.9957900 26130.5282 34.207390 1982-1999 –> 2000-2009 12.3125012 73073.6344
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4068 6.0441722 26195.9170 34.408881 1982-1999 –> 2000-2009 12.4075430 73244.8975
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + aou + phosphate 4068 6.3781166 26631.4574 30.525573 1982-1999 –> 2000-2009 13.0262793 74308.2900
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4068 6.2512904 26470.0464 30.096092 1982-1999 –> 2000-2009 12.7793607 73886.6344
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4068 6.3295850 26571.3133 30.048939 1982-1999 –> 2000-2009 12.9168204 74117.6970
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4068 6.3896745 26648.1875 30.157338 1982-1999 –> 2000-2009 13.0299422 74309.9259
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4068 6.0656718 26224.8061 34.407139 1982-1999 –> 2000-2009 12.4510561 73323.4679
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4036 5.7406329 25574.0526 27.355465 2000-2009 –> 2010-2019 11.6347338 51565.4099
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4036 6.0300164 25969.0357 24.745097 2000-2009 –> 2010-2019 12.2843543 52441.0473
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4036 5.9649172 25883.4176 24.031741 2000-2009 –> 2010-2019 12.1769807 52302.2496
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 4036 5.8404596 25713.2140 28.185384 2000-2009 –> 2010-2019 11.8362496 51843.7423
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4036 5.8933163 25785.9378 28.802535 2000-2009 –> 2010-2019 11.9374885 51981.8549
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4036 6.0272256 25967.2990 24.593762 2000-2009 –> 2010-2019 12.2785161 52437.3453
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4036 6.0836103 26042.4614 24.810940 2000-2009 –> 2010-2019 12.4131953 52613.7747
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4036 5.9073104 25805.0827 28.348916 2000-2009 –> 2010-2019 11.9729822 52029.8888
Indo-Pacific (-Inf,26] 4 cstar_tref ~ sal + temp + nitrate + phosphate_star 4036 6.0716998 26024.6426 27.350124 2000-2009 –> 2010-2019 12.4623689 52672.0964
Indo-Pacific (-Inf,26] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4036 6.0704269 26024.9502 27.248593 2000-2009 –> 2010-2019 12.4566700 52668.7672
Indo-Pacific (26,26.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4229 4.6525115 25018.7721 48.602127 1982-1999 –> 2000-2009 9.1305628 70041.9552
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4229 4.4636654 24668.2986 44.432429 1982-1999 –> 2000-2009 8.7100381 68872.1153
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 4229 4.7066265 25116.5822 52.045092 1982-1999 –> 2000-2009 9.1334727 69962.3809
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4229 4.7589267 25210.0496 52.305883 1982-1999 –> 2000-2009 9.2089340 70136.3354
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4229 4.5257730 24785.1724 40.047276 1982-1999 –> 2000-2009 8.8199216 69161.5553
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4229 4.6046688 24931.3466 38.348204 1982-1999 –> 2000-2009 8.9521587 69498.1439
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4229 4.6137243 24947.9636 39.385693 1982-1999 –> 2000-2009 8.9723226 69554.1211
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4229 4.6329783 24983.1870 47.519126 1982-1999 –> 2000-2009 9.0465441 69782.6448
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4229 4.6694437 25049.4980 49.056615 1982-1999 –> 2000-2009 9.0810856 69842.2307
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4229 4.6802749 25069.0943 51.307302 1982-1999 –> 2000-2009 9.0954313 69874.1095
Indo-Pacific (26,26.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4214 4.7462138 25098.1362 48.742049 2000-2009 –> 2010-2019 9.3987253 50116.9083
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4214 4.5543122 24750.2900 44.713879 2000-2009 –> 2010-2019 9.0179775 49418.5885
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 4214 4.8641923 25305.0729 50.595743 2000-2009 –> 2010-2019 9.5708188 50421.6551
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4214 4.6220263 24874.6762 39.926251 2000-2009 –> 2010-2019 9.1477994 49659.8486
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4214 4.6898692 24997.4848 38.609227 2000-2009 –> 2010-2019 9.2945381 49928.8313
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4214 4.7856203 25167.8227 38.227382 2000-2009 –> 2010-2019 9.6471742 50558.3318
Indo-Pacific (26,26.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4214 4.6946880 25006.1400 38.518122 2000-2009 –> 2010-2019 9.3084123 49954.1036
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4214 4.7030918 25021.2131 48.287445 2000-2009 –> 2010-2019 9.3360700 50004.4001
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4214 4.7170670 25046.2198 47.449192 2000-2009 –> 2010-2019 9.3865107 50095.7177
Indo-Pacific (26,26.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4214 4.7218846 25054.8230 47.256289 2000-2009 –> 2010-2019 9.4021595 50123.9173
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3529 3.8603731 19562.5593 26.478142 1982-1999 –> 2000-2009 7.7331612 54448.7159
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3529 3.9072257 19647.7052 25.212562 1982-1999 –> 2000-2009 7.7025525 54279.7743
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3529 3.9057203 19644.9853 19.477812 1982-1999 –> 2000-2009 7.6631149 54150.7321
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 3529 3.9390444 19704.9496 26.440379 1982-1999 –> 2000-2009 7.7780495 54480.9224
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3529 3.9860175 19788.6185 28.612438 1982-1999 –> 2000-2009 7.8723865 54718.7987
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 3529 4.0064489 19824.7036 20.794816 1982-1999 –> 2000-2009 7.8588274 54644.4096
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3529 3.9843440 19785.6545 28.326102 1982-1999 –> 2000-2009 7.8725374 54721.7374
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3529 3.8967582 19628.7714 26.962578 1982-1999 –> 2000-2009 7.7813500 54553.1996
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3529 3.9165813 19664.5849 27.060403 1982-1999 –> 2000-2009 7.8458065 54732.6860
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3529 3.9261530 19681.8129 19.620117 1982-1999 –> 2000-2009 7.8033451 54582.2623
Indo-Pacific (26.5,26.75] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 3462 4.2366844 19833.4698 32.418174 2000-2009 –> 2010-2019 8.2131846 39603.2159
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 3462 4.1110317 19627.0093 32.089978 2000-2009 –> 2010-2019 7.9714047 39189.5685
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 3462 4.1425663 19679.9188 32.010881 2000-2009 –> 2010-2019 8.0497920 39327.6240
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3462 4.1730388 19730.6649 25.147334 2000-2009 –> 2010-2019 8.0787591 39375.6502
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 3462 4.2007772 19776.5368 33.066024 2000-2009 –> 2010-2019 8.1398215 39481.4864
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3462 4.1692701 19724.4090 34.141146 2000-2009 –> 2010-2019 8.0660283 39353.1804
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 3462 4.2146178 19799.3124 30.824233 2000-2009 –> 2010-2019 8.1791977 39549.8690
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3462 4.1777623 19738.4979 32.318530 2000-2009 –> 2010-2019 8.0943436 39403.0827
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3462 4.1748258 19733.6293 23.080937 2000-2009 –> 2010-2019 8.1009788 39415.4422
Indo-Pacific (26.5,26.75] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3462 4.2436962 19846.9198 32.027999 2000-2009 –> 2010-2019 8.2254163 39627.9248
Indo-Pacific (26.75,27] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4017 4.4182297 23348.1800 21.058772 1982-1999 –> 2000-2009 8.3590846 65388.2240
Indo-Pacific (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4017 4.3544809 23233.4163 19.572555 1982-1999 –> 2000-2009 8.2530855 65113.1076
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4017 4.2081005 22958.7015 22.869540 1982-1999 –> 2000-2009 7.8569351 63841.1241
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4017 4.2724631 23078.6506 21.763079 1982-1999 –> 2000-2009 7.9602701 64119.0945
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4017 4.2553571 23048.4198 20.824445 1982-1999 –> 2000-2009 7.9292548 64033.9468
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 4017 4.4458629 23400.2711 23.067083 1982-1999 –> 2000-2009 8.3441542 65278.7517
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4017 4.1325162 22813.0860 22.568982 1982-1999 –> 2000-2009 7.7194625 63437.8496
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4017 4.1463178 22839.8731 22.843632 1982-1999 –> 2000-2009 7.8104564 63785.3369
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4017 4.1775858 22898.2313 22.992091 1982-1999 –> 2000-2009 7.8577816 63907.5565
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4017 4.1420159 22831.5333 21.346253 1982-1999 –> 2000-2009 7.7944796 63728.9293
Indo-Pacific (26.75,27] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4205 4.7153792 24987.7479 21.887444 2000-2009 –> 2010-2019 9.1336089 48335.9279
Indo-Pacific (26.75,27] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4205 4.6632826 24896.3151 20.573829 2000-2009 –> 2010-2019 9.0177635 48129.7314
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4205 4.5103665 24615.9156 22.588402 2000-2009 –> 2010-2019 8.7184670 47574.6170
Indo-Pacific (26.75,27] 4 cstar_tref ~ sal + aou + phosphate + phosphate_star 4205 4.5888051 24758.9144 20.740957 2000-2009 –> 2010-2019 8.8612682 47837.5650
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4205 4.5761631 24737.7133 19.887036 2000-2009 –> 2010-2019 8.8315203 47786.1330
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 4205 4.7627491 25073.8116 23.389632 2000-2009 –> 2010-2019 9.2086120 48474.0828
Indo-Pacific (26.75,27] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4205 4.4525537 24507.4214 22.537617 2000-2009 –> 2010-2019 8.5850699 47320.5074
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4205 4.4505776 24503.6880 22.782897 2000-2009 –> 2010-2019 8.5968954 47343.5611
Indo-Pacific (26.75,27] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4205 4.4888244 24573.6520 23.022818 2000-2009 –> 2010-2019 8.6664102 47471.8834
Indo-Pacific (26.75,27] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4205 4.4625670 24526.3133 21.572068 2000-2009 –> 2010-2019 8.6045830 47357.8466
Indo-Pacific (27,27.25] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 5080 4.3322150 29323.7776 63.603870 1982-1999 –> 2000-2009 7.8706943 76748.6793
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 5080 3.8276250 28067.6197 48.589403 1982-1999 –> 2000-2009 6.9915580 73517.1328
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 5080 4.2286647 29079.9799 64.777358 1982-1999 –> 2000-2009 7.6544330 75934.7516
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5080 4.2999639 29249.8588 40.839339 1982-1999 –> 2000-2009 7.8656988 76812.3751
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5080 4.1985708 29007.4164 45.116404 1982-1999 –> 2000-2009 7.7116612 76307.0484
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 5080 4.1370527 28857.4490 53.010094 1982-1999 –> 2000-2009 7.5861855 75832.3520
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5080 3.9513517 28390.8419 49.141370 1982-1999 –> 2000-2009 7.2112580 74368.5003
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5080 4.0799080 28716.1318 50.111785 1982-1999 –> 2000-2009 7.4465610 75263.2572
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5080 3.8887413 28228.5645 28.959201 1982-1999 –> 2000-2009 7.1915720 74437.4241
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5080 4.0526421 28648.0050 49.161268 1982-1999 –> 2000-2009 7.4078270 75134.8233
Indo-Pacific (27,27.25] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4856 4.5630084 28537.3736 38.660623 2000-2009 –> 2010-2019 8.3906334 56604.9933
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4856 4.8211232 29071.7743 27.985265 2000-2009 –> 2010-2019 9.1357650 58356.2552
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4856 4.9583633 29344.3782 34.171998 2000-2009 –> 2010-2019 9.2583272 58594.2370
Indo-Pacific (27,27.25] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4856 4.9276508 29284.0344 42.495790 2000-2009 –> 2010-2019 9.1262216 58291.4508
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 4856 4.9486515 29325.3371 43.779971 2000-2009 –> 2010-2019 9.0857042 58182.7861
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4856 4.6728001 28768.2895 37.551859 2000-2009 –> 2010-2019 8.6241518 57159.1314
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4856 4.8015633 29032.2914 37.525132 2000-2009 –> 2010-2019 8.8814713 57748.4232
Indo-Pacific (27,27.25] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 4856 4.9799171 29384.5045 40.500297 2000-2009 –> 2010-2019 9.2562136 58576.2873
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4856 4.3662850 28109.3696 26.056968 2000-2009 –> 2010-2019 8.2550263 56337.9341
Indo-Pacific (27,27.25] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4856 4.7531780 28933.9271 36.765210 2000-2009 –> 2010-2019 8.8058201 57581.9321
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ aou + nitrate + silicate + phosphate 4470 3.5765511 24090.4372 34.076764 1982-1999 –> 2000-2009 6.6478287 64210.0888
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4470 3.5457158 24015.0266 32.388831 1982-1999 –> 2000-2009 6.5923364 64009.4491
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4470 3.4330130 23726.2488 30.886925 1982-1999 –> 2000-2009 6.3886839 63242.3007
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4470 3.4019672 23645.0339 32.108393 1982-1999 –> 2000-2009 6.3233528 62976.9235
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4470 3.3984893 23635.8896 31.587780 1982-1999 –> 2000-2009 6.3117238 62923.6784
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4470 3.6022232 24156.3783 32.430162 1982-1999 –> 2000-2009 6.6409526 64109.8648
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4470 3.6116471 24179.7360 32.595637 1982-1999 –> 2000-2009 6.6647659 64207.7884
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4470 3.5581322 24046.2780 32.767251 1982-1999 –> 2000-2009 6.6120948 64078.6922
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4470 3.3062995 23390.0270 33.165974 1982-1999 –> 2000-2009 6.2305929 62737.6192
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4470 3.5797472 24100.4226 32.943007 1982-1999 –> 2000-2009 6.6540185 64237.4523
Indo-Pacific (27.25,27.5] 4 cstar_tref ~ aou + nitrate + silicate + phosphate 4504 4.0834754 25467.5899 33.157995 2000-2009 –> 2010-2019 7.6600266 49558.0272
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4504 4.0172536 25322.3094 29.951094 2000-2009 –> 2010-2019 7.5629693 49337.3359
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4504 3.8438403 24924.8176 29.570812 2000-2009 –> 2010-2019 7.2768533 48651.0665
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4504 3.8140363 24854.7001 30.783245 2000-2009 –> 2010-2019 7.2160035 48499.7340
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4504 3.8124930 24851.0543 29.876647 2000-2009 –> 2010-2019 7.2109822 48486.9438
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4504 4.0569212 25410.8209 32.606515 2000-2009 –> 2010-2019 7.6591444 49567.1992
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4504 3.9139583 25087.6577 34.857066 2000-2009 –> 2010-2019 7.4894569 49177.4636
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4504 4.0397896 25372.7014 30.519363 2000-2009 –> 2010-2019 7.5979218 49418.9794
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4504 3.7002625 24581.8995 32.621905 2000-2009 –> 2010-2019 7.0065620 47971.9265
Indo-Pacific (27.25,27.5] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4504 4.0640129 25426.5535 30.773268 2000-2009 –> 2010-2019 7.6437601 49526.9761
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4498 3.1606333 23131.1197 23.034111 1982-1999 –> 2000-2009 5.4745944 59745.6683
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4498 3.1217590 23019.7870 9.533753 1982-1999 –> 2000-2009 5.4653163 59840.3513
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + aou + silicate + phosphate_star 4498 3.2598479 23407.1692 21.545886 1982-1999 –> 2000-2009 5.6214408 60350.0047
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4498 3.1922427 23220.6416 25.299174 1982-1999 –> 2000-2009 5.5124874 59879.1488
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 4498 3.1088809 22982.5994 9.643046 1982-1999 –> 2000-2009 5.6474054 61098.5534
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4498 3.0716192 22874.1257 8.608839 1982-1999 –> 2000-2009 5.3871560 59499.7092
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4498 3.0788663 22895.3257 8.664529 1982-1999 –> 2000-2009 5.4077482 59614.0638
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4498 3.0335239 22761.8566 11.868568 1982-1999 –> 2000-2009 5.4039757 59767.3863
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 4498 3.0777847 22890.1651 11.482710 1982-1999 –> 2000-2009 5.4535817 59930.2054
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4498 3.0687135 22865.6117 8.570056 1982-1999 –> 2000-2009 5.3917430 59543.5628
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4442 3.8394394 24571.7294 26.123588 2000-2009 –> 2010-2019 7.0000727 47702.8491
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4442 3.7122834 24272.5232 10.437560 2000-2009 –> 2010-2019 6.8340423 47292.3102
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4442 3.8890693 24685.8310 28.811184 2000-2009 –> 2010-2019 7.0813120 47906.4726
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 4442 3.6033625 24007.9603 10.626447 2000-2009 –> 2010-2019 6.7122435 46990.5598
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + aou + silicate 4442 3.6544877 24131.1222 9.933819 2000-2009 –> 2010-2019 6.7875265 47181.3558
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 4442 3.6372579 24091.1379 9.946522 2000-2009 –> 2010-2019 6.7088771 46965.2637
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4442 3.6414873 24101.4622 9.952025 2000-2009 –> 2010-2019 6.7203535 46996.7878
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4442 3.6091258 24022.1582 16.153797 2000-2009 –> 2010-2019 6.6426497 46784.0147
Indo-Pacific (27.5,27.75] 4 cstar_tref ~ sal + temp + silicate + phosphate 4442 3.7003343 24241.8814 15.667369 2000-2009 –> 2010-2019 6.7781191 47132.0465
Indo-Pacific (27.5,27.75] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4442 3.6275294 24067.3442 9.930817 2000-2009 –> 2010-2019 6.6962429 46932.9559
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1730 2.7146583 8378.9120 19.968826 1982-1999 –> 2000-2009 4.6353049 21365.2738
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ aou + silicate + phosphate + phosphate_star 1730 2.7179751 8381.1368 19.481765 1982-1999 –> 2000-2009 4.6498640 21402.0459
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1730 2.7175373 8382.5795 19.621909 1982-1999 –> 2000-2009 4.6392611 21372.4525
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1730 2.7360456 8406.0646 22.108053 1982-1999 –> 2000-2009 4.6588129 21399.3370
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1730 2.7253945 8392.5690 19.415736 1982-1999 –> 2000-2009 4.6588955 21420.7011
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1730 2.7214359 8387.5397 19.238427 1982-1999 –> 2000-2009 4.6616358 21437.3300
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1730 2.7233956 8390.0304 19.668124 1982-1999 –> 2000-2009 4.6554723 21413.5479
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1730 2.7189556 8384.3848 19.533390 1982-1999 –> 2000-2009 4.6553732 21421.9559
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1730 2.6311961 8270.8646 19.372096 1982-1999 –> 2000-2009 4.5387783 21214.4866
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1730 2.7183192 8383.5749 19.436781 1982-1999 –> 2000-2009 4.6567791 21427.7469
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1851 2.9988950 9332.6093 30.958206 2000-2009 –> 2010-2019 5.7135534 17711.5214
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1851 2.9837109 9313.8177 30.614565 2000-2009 –> 2010-2019 5.7020863 17697.4640
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1851 3.0123528 9349.1852 30.142298 2000-2009 –> 2010-2019 5.7298901 17731.7647
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 1851 2.9882659 9319.4648 29.818902 2000-2009 –> 2010-2019 5.7054019 17701.5334
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ sal + nitrate + silicate + phosphate_star 1851 2.9968978 9328.1430 28.185677 2000-2009 –> 2010-2019 5.7180086 17713.2694
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1851 2.9034131 9212.8240 33.875999 2000-2009 –> 2010-2019 5.6394587 17618.8886
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1851 2.9945534 9327.2459 28.891157 2000-2009 –> 2010-2019 5.7147772 17713.2442
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 1851 2.9590480 9283.0903 32.325681 2000-2009 –> 2010-2019 5.6814950 17671.9152
Indo-Pacific (27.75,27.85] 4 cstar_tref ~ temp + aou + phosphate + phosphate_star 1851 2.9638075 9287.0400 31.214195 2000-2009 –> 2010-2019 5.7013663 17693.0177
Indo-Pacific (27.75,27.85] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1851 2.9099823 9221.1906 28.356597 2000-2009 –> 2010-2019 5.5411784 17492.0552
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2180 2.8267189 10729.1206 25.164459 1982-1999 –> 2000-2009 4.9390920 28118.4599
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2180 2.8213675 10722.8586 24.766101 1982-1999 –> 2000-2009 4.9321066 28107.9919
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2180 2.8263845 10730.6048 25.079288 1982-1999 –> 2000-2009 4.9385238 28121.0561
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2180 2.8345536 10743.1883 25.034036 1982-1999 –> 2000-2009 4.9522775 28154.8171
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2180 2.8334326 10741.4637 24.945025 1982-1999 –> 2000-2009 4.9535509 28162.1550
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ temp + aou + nitrate + phosphate 2180 2.8345536 10741.1883 25.034341 1982-1999 –> 2000-2009 4.9531202 28154.0079
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2180 2.7848617 10666.0762 24.858642 1982-1999 –> 2000-2009 4.8865357 28016.6911
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2180 2.8283251 10733.5974 24.626664 1982-1999 –> 2000-2009 4.9459725 28144.9363
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2180 2.8295985 10735.5599 24.650947 1982-1999 –> 2000-2009 4.9502721 28158.3516
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2180 2.8275894 10732.4630 24.564563 1982-1999 –> 2000-2009 4.9479669 28154.1350
Indo-Pacific (27.85,27.95] 4 cstar_tref ~ aou + nitrate + phosphate + phosphate_star 2269 2.9791291 11404.9646 35.896725 2000-2009 –> 2010-2019 5.8058480 22134.0852
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2269 2.9706721 11394.0640 35.504194 2000-2009 –> 2010-2019 5.7920396 22116.9226
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2269 2.9663130 11387.4001 36.683479 2000-2009 –> 2010-2019 5.7926975 22118.0049
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 2269 2.9776415 11404.6981 36.549320 2000-2009 –> 2010-2019 5.8121952 22147.8864
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2269 2.9761341 11402.4001 36.560311 2000-2009 –> 2010-2019 5.8120146 22147.6289
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 2269 2.9760331 11402.2462 36.058406 2000-2009 –> 2010-2019 5.8111591 22146.3147
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2269 2.9762907 11402.6388 36.377103 2000-2009 –> 2010-2019 5.8097233 22144.1025
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 2269 2.9754091 11401.2944 36.996369 2000-2009 –> 2010-2019 5.8063682 22138.9503
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 2269 2.8917924 11271.9387 35.660076 2000-2009 –> 2010-2019 5.6766541 21938.0149
Indo-Pacific (27.85,27.95] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2269 2.9849744 11415.8599 35.035079 2000-2009 –> 2010-2019 5.8125638 22148.3229
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1874 2.2135121 8310.2692 8.008434 1982-1999 –> 2000-2009 4.1355290 23008.6836
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1874 2.1853867 8262.3409 8.414958 1982-1999 –> 2000-2009 4.0761054 22844.4168
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1874 2.1593636 8217.4429 8.518529 1982-1999 –> 2000-2009 4.0477830 22790.8963
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1874 2.1933602 8275.9909 8.464467 1982-1999 –> 2000-2009 4.0898132 22879.5253
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1874 2.1940030 8277.0892 8.457935 1982-1999 –> 2000-2009 4.0919401 22886.1666
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1874 2.1657741 8228.5530 8.082846 1982-1999 –> 2000-2009 4.1420625 23124.2802
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1874 2.1898347 8269.9618 8.700158 1982-1999 –> 2000-2009 4.0854850 22870.4960
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1874 2.1940611 8277.1884 8.466176 1982-1999 –> 2000-2009 4.0919221 22885.9818
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1874 2.1942028 8275.4304 8.508795 1982-1999 –> 2000-2009 4.0924998 22883.8515
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1874 2.1612514 8220.7181 7.893376 1982-1999 –> 2000-2009 4.0369110 22746.1298
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 1947 2.3459260 8859.6834 8.675710 2000-2009 –> 2010-2019 4.5142029 17092.5652
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + aou + nitrate + phosphate_star 1947 2.3580969 8877.8336 8.240477 2000-2009 –> 2010-2019 4.5565937 17160.5916
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1947 2.3523310 8870.3005 8.333592 2000-2009 –> 2010-2019 4.5288129 17117.3383
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate 1947 2.3470339 8861.5219 8.631689 2000-2009 –> 2010-2019 4.5141906 17092.4668
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1947 2.3463199 8860.3372 8.653064 2000-2009 –> 2010-2019 4.5138987 17092.0119
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1947 2.4136134 8970.4472 9.133530 2000-2009 –> 2010-2019 4.5729770 17187.8900
Indo-Pacific (27.95,28.05] 4 cstar_tref ~ sal + temp + nitrate + phosphate 1947 2.3581244 8877.8791 7.929174 2000-2009 –> 2010-2019 4.5641584 17173.4645
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 1947 2.3471464 8861.7087 8.622588 2000-2009 –> 2010-2019 4.5141565 17092.4000
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1947 2.3474775 8862.2578 8.101480 2000-2009 –> 2010-2019 4.5132516 17090.8108
Indo-Pacific (27.95,28.05] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1947 2.3763489 8909.8577 8.844696 2000-2009 –> 2010-2019 4.5376004 17130.5758
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1324 1.8544982 5406.7916 10.076261 1982-1999 –> 2000-2009 3.4486971 15050.9542
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1324 1.8544164 5406.6747 9.352571 1982-1999 –> 2000-2009 3.4508616 15058.0298
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1324 1.8602504 5414.9923 9.361206 1982-1999 –> 2000-2009 3.4592150 15074.4023
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1324 1.8615087 5416.7828 9.360446 1982-1999 –> 2000-2009 3.4621366 15081.5035
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1324 1.8667389 5424.2123 9.303539 1982-1999 –> 2000-2009 3.4737076 15109.1280
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1324 1.8611114 5416.2175 9.354942 1982-1999 –> 2000-2009 3.4614455 15080.0008
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 1324 1.8651937 5422.0195 10.105205 1982-1999 –> 2000-2009 3.4685695 15095.5021
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1324 1.8686285 5426.8914 10.096758 1982-1999 –> 2000-2009 3.4780984 15119.7516
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1324 1.8163894 5351.8098 9.232290 1982-1999 –> 2000-2009 3.4429985 15098.7772
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 1324 1.8660163 5423.1871 10.096839 1982-1999 –> 2000-2009 3.4709536 15101.6416
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 1360 1.9936532 5750.2278 10.461123 2000-2009 –> 2010-2019 3.8481515 11157.0193
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1360 1.9697576 5717.4293 9.651852 2000-2009 –> 2010-2019 3.8241740 11124.1040
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + nitrate + silicate 1360 1.9797376 5731.1758 9.438806 2000-2009 –> 2010-2019 3.8709013 11189.8103
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 1360 1.9760165 5726.0584 9.666162 2000-2009 –> 2010-2019 3.8362670 11141.0507
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1360 1.9765901 5726.8478 9.663178 2000-2009 –> 2010-2019 3.8380987 11143.6306
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate 1360 1.9756333 5725.5309 9.761549 2000-2009 –> 2010-2019 3.8517581 11163.0239
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1360 1.9785476 5729.5403 9.543284 2000-2009 –> 2010-2019 3.8452866 11153.7527
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1360 1.9761237 5726.2060 9.658181 2000-2009 –> 2010-2019 3.8372351 11142.4235
Indo-Pacific (28.05,28.1] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 1360 1.9920190 5745.9972 9.872167 2000-2009 –> 2010-2019 3.8681929 11181.5596
Indo-Pacific (28.05,28.1] 5 cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1360 1.9324371 5665.3997 9.085089 2000-2009 –> 2010-2019 3.7488265 11017.2096
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 11224 1.3225928 38142.6603 13.111764 1982-1999 –> 2000-2009 2.4270878 99907.0057
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 11224 1.2267167 36453.3847 11.812487 1982-1999 –> 2000-2009 2.2867597 96547.0600
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 11224 1.2914644 37608.0083 9.244378 1982-1999 –> 2000-2009 2.4415203 101016.3359
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11224 1.3186145 38075.0354 15.950113 1982-1999 –> 2000-2009 2.4873732 102139.4350
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11224 1.3146752 38007.8727 16.233771 1982-1999 –> 2000-2009 2.4718833 101668.3413
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11224 1.3186150 38075.0434 15.950312 1982-1999 –> 2000-2009 2.4873607 102138.9912
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 11224 1.3186970 38074.4400 16.001226 1982-1999 –> 2000-2009 2.4883540 102168.0855
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 11224 1.3310075 38285.0276 12.922029 1982-1999 –> 2000-2009 2.4420494 100289.7366
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11224 1.3473166 38558.4163 12.863312 1982-1999 –> 2000-2009 2.4731726 101101.8134
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11224 1.3372510 38390.0809 12.766216 1982-1999 –> 2000-2009 2.4552196 100647.5546
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 11207 1.5144088 41120.4621 11.440530 2000-2009 –> 2010-2019 2.8370017 79263.1224
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + nitrate + silicate + phosphate 11207 1.3842488 39106.1703 9.567526 2000-2009 –> 2010-2019 2.6109655 75559.5551
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 11207 1.4639299 40360.6136 12.963230 2000-2009 –> 2010-2019 2.7829262 78442.1476
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 11207 1.4340576 39898.5122 8.104468 2000-2009 –> 2010-2019 2.7255219 77506.5205
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate 11207 1.4641258 40363.6126 12.947702 2000-2009 –> 2010-2019 2.7829107 78441.5490
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11207 1.4644109 40367.9773 12.930189 2000-2009 –> 2010-2019 2.7830254 78443.0126
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11207 1.4646222 40371.2102 13.330678 2000-2009 –> 2010-2019 2.7792974 78379.0829
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11207 1.4644059 40367.9003 12.929960 2000-2009 –> 2010-2019 2.7830209 78442.9437
Indo-Pacific (28.1, Inf] 4 cstar_tref ~ sal + temp + silicate + phosphate_star 11207 1.4656759 40385.3306 13.168099 2000-2009 –> 2010-2019 2.7843729 78459.7707
Indo-Pacific (28.1, Inf] 5 cstar_tref ~ temp + aou + nitrate + silicate + phosphate 11207 1.5232470 41250.8916 11.251004 2000-2009 –> 2010-2019 2.8542545 79535.9192

5.4.2 per fitting unit

lm_best %>%
  select(-n_predictors) %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab eras rmse_sum_mean ais_sum_mean
Atlantic (-Inf,26] 1982-1999 –> 2000-2009 2.3759495 1096.7478
Atlantic (-Inf,26] 2000-2009 –> 2010-2019 2.1711631 716.1207
Atlantic (26,26.5] 1982-1999 –> 2000-2009 6.8697720 12468.2349
Atlantic (26,26.5] 2000-2009 –> 2010-2019 6.8965299 8595.6503
Atlantic (26.5,26.75] 1982-1999 –> 2000-2009 6.2460437 15145.4740
Atlantic (26.5,26.75] 2000-2009 –> 2010-2019 6.6705917 10786.2334
Atlantic (26.75,27] 1982-1999 –> 2000-2009 3.7990524 20152.5748
Atlantic (26.75,27] 2000-2009 –> 2010-2019 4.4934058 16323.2509
Atlantic (27,27.25] 1982-1999 –> 2000-2009 3.5713127 16508.9071
Atlantic (27,27.25] 2000-2009 –> 2010-2019 4.1516725 13653.6633
Atlantic (27.25,27.5] 1982-1999 –> 2000-2009 4.3142542 19255.0702
Atlantic (27.25,27.5] 2000-2009 –> 2010-2019 5.1313305 14781.9232
Atlantic (27.5,27.75] 1982-1999 –> 2000-2009 4.5924290 26438.7913
Atlantic (27.5,27.75] 2000-2009 –> 2010-2019 5.1630608 20454.5580
Atlantic (27.75,27.85] 1982-1999 –> 2000-2009 3.1974091 7956.2402
Atlantic (27.75,27.85] 2000-2009 –> 2010-2019 3.2669255 5940.9436
Atlantic (27.85,27.95] 1982-1999 –> 2000-2009 5.8600813 10320.5774
Atlantic (27.85,27.95] 2000-2009 –> 2010-2019 6.4985853 8084.2159
Atlantic (27.95,28.05] 1982-1999 –> 2000-2009 7.8521065 14423.9759
Atlantic (27.95,28.05] 2000-2009 –> 2010-2019 7.6879663 10354.4476
Atlantic (28.05,28.1] 1982-1999 –> 2000-2009 1.9038617 4611.5169
Atlantic (28.05,28.1] 2000-2009 –> 2010-2019 2.0563563 3609.1641
Atlantic (28.1,28.15] 1982-1999 –> 2000-2009 1.4108424 4227.6479
Atlantic (28.1,28.15] 2000-2009 –> 2010-2019 1.5923531 3437.8690
Atlantic (28.15,28.2] 1982-1999 –> 2000-2009 1.0543529 5269.1434
Atlantic (28.15,28.2] 2000-2009 –> 2010-2019 1.2551000 4450.1406
Atlantic (28.2, Inf] 1982-1999 –> 2000-2009 0.6461364 3141.0272
Atlantic (28.2, Inf] 2000-2009 –> 2010-2019 0.7225389 3425.0352
Indo-Pacific (-Inf,26] 1982-1999 –> 2000-2009 12.6509913 73658.7689
Indo-Pacific (-Inf,26] 2000-2009 –> 2010-2019 12.1453539 52255.6176
Indo-Pacific (26,26.5] 1982-1999 –> 2000-2009 9.0150472 69672.5592
Indo-Pacific (26,26.5] 2000-2009 –> 2010-2019 9.3510186 50028.2303
Indo-Pacific (26.5,26.75] 1982-1999 –> 2000-2009 7.7911131 54531.3238
Indo-Pacific (26.5,26.75] 2000-2009 –> 2010-2019 8.1118927 39432.7044
Indo-Pacific (26.75,27] 1982-1999 –> 2000-2009 7.9884964 64263.3921
Indo-Pacific (26.75,27] 2000-2009 –> 2010-2019 8.8224198 47763.1856
Indo-Pacific (27,27.25] 1982-1999 –> 2000-2009 7.4937449 75435.6344
Indo-Pacific (27,27.25] 2000-2009 –> 2010-2019 8.8819335 57743.3431
Indo-Pacific (27.25,27.5] 1982-1999 –> 2000-2009 6.5066350 63673.3857
Indo-Pacific (27.25,27.5] 2000-2009 –> 2010-2019 7.4323680 49019.5652
Indo-Pacific (27.5,27.75] 1982-1999 –> 2000-2009 5.4765449 59926.8654
Indo-Pacific (27.5,27.75] 2000-2009 –> 2010-2019 6.7961439 47188.4616
Indo-Pacific (27.75,27.85] 1982-1999 –> 2000-2009 4.6410177 21387.4878
Indo-Pacific (27.75,27.85] 2000-2009 –> 2010-2019 5.6847216 17674.4674
Indo-Pacific (27.85,27.95] 1982-1999 –> 2000-2009 4.9399418 28129.2602
Indo-Pacific (27.85,27.95] 2000-2009 –> 2010-2019 5.7931263 22118.0233
Indo-Pacific (27.95,28.05] 1982-1999 –> 2000-2009 4.0890051 22892.0428
Indo-Pacific (27.95,28.05] 2000-2009 –> 2010-2019 4.5329843 17123.0115
Indo-Pacific (28.05,28.1] 1982-1999 –> 2000-2009 3.4616683 15086.9691
Indo-Pacific (28.05,28.1] 2000-2009 –> 2010-2019 3.8368892 11141.3584
Indo-Pacific (28.1, Inf] 1982-1999 –> 2000-2009 2.4460780 100762.4359
Indo-Pacific (28.1, Inf] 2000-2009 –> 2010-2019 2.7723297 78247.3624

5.5 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.6 Plot selected model residuals

# plot model diagnostics, if activated
if (params_local$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
      predictors = str_replace_all(predictors, "\\+ ", "")
    )
  
  # loop across all basins, era, gamma slabs, and MLRs
  # fit all MLR models
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[2]
      print(i_basin)
      print(i_era)
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin, era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
        print(i_gamma_slab)
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        lm_best_basin_era_slab <- lm_best_plot %>%
          filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
        
        for (i_eras in unique(lm_best_basin_era_slab$eras)) {
          #i_eras <- unique(lm_best_basin_era_slab$eras)[1]
          print(i_eras)
          
          lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
            filter(eras == i_eras)
          
          for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
            #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
            print(i_predictors)
            # extract one model definition
            i_lm <- lm_all %>%
              filter(predictors == i_predictors) %>%
              select(lm_coeff) %>%
              pull()
            
             # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
            
            # plot model diagnostics vs predictors
            
            p_model_predictors <- ggnostic(
              i_lm_fit,
              columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
              title = paste(
                "era:",
                i_era,
                "| eras:",
                i_eras,
                "| basin:",
                i_basin,
                "| gamma slab:",
                i_gamma_slab,
                "| predictors:",
                i_predictors
              )
            )
            
            ggsave(
              plot = p_model_predictors,
              path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
              filename = paste(
                "MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_predictors)
            
            
            # plot model diagnostics vs location
            
            GLODAP_basin_era_slab <- GLODAP_basin_era_slab %>%
              mutate(fitted = i_lm_fit$fitted.values,
                     residuals = i_lm_fit$residuals)
            
            GLODAP_basin_era_slab_long <- GLODAP_basin_era_slab %>% 
              pivot_longer(cols = c(params_local$MLR_target , fitted, residuals),
                           names_to = "estimate",
                           values_to = "value"
              ) %>% 
              pivot_longer(cols = c(lat, lon, depth),
                           names_to = "coordinate_type",
                           values_to = "coordinate_value"
              )

             p_model_coordinate <- GLODAP_basin_era_slab_long %>%
              ggplot(aes(coordinate_value, value)) +
              geom_bin2d() +
              scale_fill_viridis_c() +
              labs(
                title = paste(
                  "era:",
                  i_era,
                  "| eras:",
                  i_eras,
                  "| basin:",
                  i_basin,
                  "| gamma slab:",
                  i_gamma_slab,
                  "| predictors:",
                  i_predictors
                )
              ) +
              facet_grid(estimate~coordinate_type,
                         scales = "free")

            ggsave(
              plot = p_model_coordinate,
              path = paste(path_version_figures, "eMLR_diagnostics", sep = ""),
              filename = paste(
                "Location_MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_coordinate)
            
          }
          
        }
        
      }
    }
  }
  
  rm(
    lm_best_plot,
    lm_best_basin_era_slab,
    i_rmse,
    GLODAP_basin_era,
    GLODAP_basin_era_slab,
    i_lm,
    lm_all_fitted,
    i_basin,
    i_era,
    i_gamma_slab,
    i_predictors,
    lm_all,
    i_aic,
    i_n_predictors,
    i_resid_max
  )
  
}

Individual residual plots of the MLR models for each basin, era, eras and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/eMLR_diagnostics/

5.7 Cant coeffcients

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

# pivot long format
lm_best_long <- lm_best_target %>%
  pivot_longer(cols = starts_with("coeff_"),
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

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

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

5.8 Write files

lm_best_target %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_cant %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    starts_with("delta_coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_cant.csv",
                  sep = ""))

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

6 Model diagnotics

6.1 Selection criterion vs predictors

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

6.1.1 All models

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

Version Author Date
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

lm_all_fitted_wide_eras %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Version Author Date
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19
rm(max_rmse)

6.2.2 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)) +
  facet_grid(eras ~ basin)

Version Author Date
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19
rm(max_rmse)

6.3 Predictor counts

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

# calculate cases of predictor used
lm_all_stats <- lm_best_long %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(basin, eras, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n,
              names_from = term,
              values_fill = 0)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26] 9 4 8 7 10 3 7
(26,26.5] 8 6 6 6 10 5 8
(26.5,26.75] 9 4 8 7 5 10 6
(26.75,27] 9 3 8 7 4 10 7
(27,27.25] 8 5 8 6 6 10 6
(27.25,27.5] 9 8 6 5 5 10 6
(27.5,27.75] 6 5 7 7 10 7 7
(27.75,27.85] 8 7 8 6 10 4 6
(27.85,27.95] 10 4 10 10 4 4 4
(27.95,28.05] 7 10 8 7 5 6 7
(28.05,28.1] 8 4 8 8 9 5 8
(28.1,28.15] 7 5 7 8 9 6 8
(28.15,28.2] 10 10 5 6 6 5 7
(28.2, Inf] 9 10 5 5 10 3 5
total 117.00 85.00 102.00 95.00 103.00 88.00 92.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26] 8 4 8 8 10 4 7
(26,26.5] 8 6 6 6 10 5 8
(26.5,26.75] 9 4 8 6 6 10 6
(26.75,27] 9 3 9 6 6 10 5
(27,27.25] 8 4 6 7 9 10 4
(27.25,27.5] 9 10 4 5 4 10 5
(27.5,27.75] 7 4 7 6 10 8 6
(27.75,27.85] 8 7 7 6 10 5 6
(27.85,27.95] 10 4 9 8 7 3 7
(27.95,28.05] 7 10 8 7 5 6 7
(28.05,28.1] 8 5 8 8 9 4 8
(28.1,28.15] 8 3 9 7 10 4 7
(28.15,28.2] 9 10 5 6 9 3 6
(28.2, Inf] 9 10 5 5 10 4 4
total 117.00 84.00 99.00 91.00 115.00 86.00 86.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26] 9 4 8 7 10 3 7
(26,26.5] 8 6 7 7 6 8 8
(26.5,26.75] 8 7 8 7 7 6 7
(26.75,27] 10 5 10 9 5 3 5
(27,27.25] 9 7 9 9 3 6 6
(27.25,27.5] 7 7 9 6 5 10 5
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 9 4 8 8 4 9 7
(27.85,27.95] 8 10 9 7 3 4 7
(27.95,28.05] 6 4 6 7 8 10 8
(28.05,28.1] 7 5 7 8 5 10 8
(28.1, Inf] 5 7 6 8 6 10 7
total 92.00 70.00 93.00 89.00 72.00 89.00 81.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26] 7 6 7 8 10 3 7
(26,26.5] 7 6 7 7 6 9 8
(26.5,26.75] 8 8 9 8 4 6 6
(26.75,27] 10 5 10 9 5 3 5
(27,27.25] 9 6 9 8 3 7 7
(27.25,27.5] 7 8 9 5 5 10 5
(27.5,27.75] 6 4 6 5 10 10 7
(27.75,27.85] 7 6 7 10 6 7 5
(27.85,27.95] 7 10 8 7 6 4 7
(27.95,28.05] 7 9 6 6 9 4 7
(28.05,28.1] 6 4 6 7 8 10 8
(28.1, Inf] 6 5 7 7 8 10 6
total 87.00 77.00 91.00 87.00 80.00 83.00 78.00

6.4 RMSE alternatives

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

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

Version Author Date
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
02b976d Donghe-Zhu 2021-02-24
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
6c53dbf Donghe-Zhu 2021-03-25
1914a11 Donghe-Zhu 2021-03-24
8be810e Donghe-Zhu 2021-03-23
bf19764 Donghe-Zhu 2021-03-22
3ec9d3d Donghe-Zhu 2021-03-22
134ace1 Donghe-Zhu 2021-03-22
f6d70a4 Donghe-Zhu 2021-03-22
183443b Donghe-Zhu 2021-03-21
2e6976b Donghe-Zhu 2021-03-21
51a42bd Donghe-Zhu 2021-03-16
f745381 Donghe-Zhu 2021-03-16
aecbf75 Donghe-Zhu 2021-03-14
1b2a0c2 Donghe-Zhu 2021-03-14
6733e48 Donghe-Zhu 2021-03-12
ba71e6a Donghe-Zhu 2021-03-12
9dbf5bd Donghe-Zhu 2021-03-11
a49df30 Donghe-Zhu 2021-03-11
b3348a5 Donghe-Zhu 2021-03-11
1c24ff7 Donghe-Zhu 2021-03-10
94ce5a8 Donghe-Zhu 2021-03-10
db33928 Donghe-Zhu 2021-03-10
3d1f470 Donghe-Zhu 2021-03-10
9b7bc66 Donghe-Zhu 2021-03-10
4168b43 Donghe-Zhu 2021-03-10
5365f80 Donghe-Zhu 2021-03-10
2b6c392 Donghe-Zhu 2021-03-10
9f58753 Donghe-Zhu 2021-03-10
fd528ed Donghe-Zhu 2021-03-10
9d5a62c Donghe-Zhu 2021-03-10
5d1e70b Donghe-Zhu 2021-03-10
2093979 Donghe-Zhu 2021-03-10
b865899 Donghe-Zhu 2021-03-10
cc2a956 Donghe-Zhu 2021-03-10
60689fb Donghe-Zhu 2021-03-10
dba33c8 Donghe-Zhu 2021-03-09
17f1c4a Donghe-Zhu 2021-03-09
c024d1a Donghe-Zhu 2021-03-09
02f7242 Donghe-Zhu 2021-03-09
6f50bc6 Donghe-Zhu 2021-03-09
1691156 Donghe-Zhu 2021-03-08
c0ceaf8 Donghe-Zhu 2021-03-08
058e0a1 Donghe-Zhu 2021-03-08
112dea0 Donghe-Zhu 2021-03-08
1843412 Donghe-Zhu 2021-03-08
3fbbfa4 Donghe-Zhu 2021-03-07
627c8fb Donghe-Zhu 2021-03-07
9ef3222 Donghe-Zhu 2021-03-05
8c1e978 Donghe-Zhu 2021-03-05
865f68c Donghe-Zhu 2021-03-05
ee69bc1 Donghe-Zhu 2021-03-05
a79291f Donghe-Zhu 2021-03-05
e8c6f30 Donghe-Zhu 2021-03-04
59288fe Donghe-Zhu 2021-03-04
731abc8 Donghe-Zhu 2021-03-04
e2a5a33 Donghe-Zhu 2021-03-04
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c407a50 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
b71c719 Donghe-Zhu 2021-03-01
13666ca Donghe-Zhu 2021-03-01
c6e60fe Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
e152917 Donghe-Zhu 2021-02-28
287123c Donghe-Zhu 2021-02-27
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
adbc9bc Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
401eab3 Donghe-Zhu 2021-02-15
e3bba84 Donghe-Zhu 2021-02-15
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
c011832 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
2f095d7 Donghe-Zhu 2021-02-07
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
e2ffc14 Donghe-Zhu 2021-02-05
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
a518739 Donghe-Zhu 2021-02-01
61666de Donghe-Zhu 2021-01-31
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

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] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  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         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               plyr_1.8.6              
[52] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[55] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[58] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[61] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[64] RcppArmadillo_0.10.1.2.2 data.table_1.13.6        modelr_0.1.8            
[67] vctrs_0.3.6              httpuv_1.5.4             cellranger_1.1.0        
[70] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[73] xfun_0.20                openxlsx_4.2.3           RcppEigen_0.3.3.9.1     
[76] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[79] here_1.0.1