eMLR - model fitting

workflowr

• Summary
• Checks
• Past versions

Last updated: 2021-06-06

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.

---

R Markdown file: up-to-date

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.

Environment: empty

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.

Seed: set.seed(20200707)

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.

Session information: recorded

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

Cache: none

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

File paths: relative

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

Repository version: 6ecd057

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 6ecd057. 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/

Untracked files:
    Untracked:  docs_GV_2020_standard/

Unstaged changes:
    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
html	5d8fa90	Donghe-Zhu	2021-06-06	Build site.
html	dbe2a95	Donghe-Zhu	2021-05-28	Build site.
html	d50b039	Donghe-Zhu	2021-05-28	Build site.
html	441ebe5	Donghe-Zhu	2021-05-28	Build site.
html	6262ad3	Donghe-Zhu	2021-05-28	Build site.
html	a61aa77	Donghe-Zhu	2021-05-28	Build site.
html	b8dbce4	Donghe-Zhu	2021-05-28	Build site.
html	94a833e	Donghe-Zhu	2021-05-27	Build site.
html	5e0bd64	Donghe-Zhu	2021-05-27	Build site.
html	af1eadd	Donghe-Zhu	2021-05-27	Build site.
html	9179bfe	Donghe-Zhu	2021-05-27	Build site.
html	28cbe5e	Donghe-Zhu	2021-05-27	Build site.
html	a618f02	Donghe-Zhu	2021-05-27	Build site.
html	4623e38	Donghe-Zhu	2021-05-27	Build site.
html	b81bb49	Donghe-Zhu	2021-05-27	Build site.
html	951e188	Donghe-Zhu	2021-05-27	Build site.
html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
html	2705a04	Donghe-Zhu	2021-03-28	Build site.
html	cd5f759	Donghe-Zhu	2021-03-28	Build site.
Rmd	347fb44	Donghe-Zhu	2021-03-28	local rebuild
html	75dda4d	Donghe-Zhu	2021-03-27	Build site.
html	0b19f6e	Donghe-Zhu	2021-03-27	Build site.
html	e2704ca	Donghe-Zhu	2021-03-27	Build site.
Rmd	b1706de	Donghe-Zhu	2021-03-27	local rebuild
html	3061a0b	Donghe-Zhu	2021-03-27	Build site.
html	b883157	Donghe-Zhu	2021-03-27	Build site.
html	0c20513	Donghe-Zhu	2021-03-26	Build site.
html	d19654d	Donghe-Zhu	2021-03-26	Build site.
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

# lm_all_fitted <- lm_all_fitted_1

# lm_all_fitted <-
#   read_csv(paste(path_version_data,
#                   "lm_all_fitted.csv",
#                   sep = ""))

# 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:

• 1000

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, vif_max, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    rmse_lag = lag(rmse),
    aic_sum = aic + lag(aic),
    vif_max_sum = vif_max + lag(vif_max)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na() %>%
  filter(eras != "1982-1999 --> 2010-2019",
         eras != "1982-1999 --> 2008-2019")

#filter tripairs
lm_all_fitted_wide_eras <- lm_all_fitted_wide_eras %>%
  mutate(rmse = round(rmse, digits = 7), rmse_lag = round(rmse_lag, digits = 7)) %>%
  group_by(basin, gamma_slab, eras, rmse) %>%
  sample_n(1) %>%
  ungroup()

# calculate rank for each era
lm_all_fitted_wide_eras <- lm_all_fitted_wide_eras %>%
  group_by(eras, basin, gamma_slab) %>% 
  mutate(rank = rank(rmse, ties.method="first"),
         rank_sum = rank + rank(rmse_lag, ties.method="first")) %>%
  ungroup()

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

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	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	26	0.4450286	45.68473	39.503284	1.0682985	1982-1999 –> 2000-2009	2.2784176	1.8333891	270.29562	50.698663	1	3
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	26	0.4584940	47.23478	24.216078	1.1190183	1982-1999 –> 2000-2009	2.2860715	1.8275775	271.51549	33.466290	3	4
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	26	0.4584876	47.23406	39.421855	1.1189189	1982-1999 –> 2000-2009	2.2947015	1.8362140	272.00507	49.769859	2	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	26	0.4589059	47.28148	89.383082	1.1203109	1982-1999 –> 2000-2009	2.3155101	1.8566042	273.20099	112.661254	5	11
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	26	0.4678743	48.28791	58.089036	1.5811594	1982-1999 –> 2000-2009	2.4153823	1.9475080	279.17878	131.125609	7	18
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	26	0.4612966	47.55167	287.575449	1.1237758	1982-1999 –> 2000-2009	2.4644429	2.0031463	281.37206	355.807329	6	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	26	0.5013115	51.87737	85.193922	1.3009263	1982-1999 –> 2000-2009	2.5012093	1.9998978	285.52897	251.141574	8	20
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	26	0.5336323	53.12630	20.397873	1.1898626	1982-1999 –> 2000-2009	2.5579229	2.0242906	286.03872	26.502074	10	25
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	26	0.7265098	71.17063	49.048599	2.6740539	1982-1999 –> 2000-2009	2.5603198	1.8338100	295.80540	63.944583	12	15
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	26	0.7278357	71.26545	49.388598	2.6800267	1982-1999 –> 2000-2009	2.5759784	1.8481427	296.70990	62.037710	13	18
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	26	0.2609157	17.91980	18.736726	0.6909568	2000-2009 –> 2010-2019	0.7059443	0.4450286	63.60453	58.240010	2	3
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	26	0.2749403	20.64233	15.863993	0.7285522	2000-2009 –> 2010-2019	0.7334343	0.4584940	67.87711	40.080071	5	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	26	0.2782978	21.27350	15.832456	0.7394145	2000-2009 –> 2010-2019	0.7367854	0.4584876	68.50756	55.254311	6	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	26	0.2790915	21.42158	79.710371	0.7403142	2000-2009 –> 2010-2019	0.7379973	0.4589059	68.70306	169.093453	7	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	26	0.2727615	20.22861	79.638885	0.6440915	2000-2009 –> 2010-2019	0.7406358	0.4678743	68.51653	137.727922	3	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	26	0.2506018	15.82252	127.868061	0.4743830	2000-2009 –> 2010-2019	0.7519133	0.5013115	67.69989	213.061983	1	9
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	26	0.2946619	24.24461	205.366279	0.7713187	2000-2009 –> 2010-2019	0.7559584	0.4612966	71.79628	492.941728	9	15
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	26	0.2743139	18.52373	10.682350	0.7065044	2000-2009 –> 2010-2019	0.7756628	0.5013489	68.40498	29.455461	4	13
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	26	0.2833559	20.21013	14.354360	0.7252885	2000-2009 –> 2010-2019	0.8169883	0.5336323	73.33643	34.752232	8	18
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate	26	0.3887163	36.64972	12.537425	0.8436407	2000-2009 –> 2010-2019	1.0028604	0.6141441	97.08319	31.415134	10	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	195	4.2121666	1128.19712	188.345939	10.4631952	1982-1999 –> 2000-2009	7.2964370	3.0842703	2867.87909	493.944110	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	195	4.2358016	1130.37934	186.971373	9.5121560	1982-1999 –> 2000-2009	7.3628248	3.1270232	2879.39492	497.894100	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	195	4.3050687	1136.70533	10.466403	10.9027558	1982-1999 –> 2000-2009	7.4929724	3.1879037	2898.79415	24.719389	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	195	4.3272566	1138.71019	11.950683	11.0127213	1982-1999 –> 2000-2009	7.5347245	3.2074679	2904.94719	25.210442	4	8
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	195	4.3360442	1139.50139	10.873913	10.9822045	1982-1999 –> 2000-2009	7.5511513	3.2151071	2907.35125	24.257380	5	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	195	4.3374769	1139.63023	11.471181	9.9260162	1982-1999 –> 2000-2009	7.5720102	3.2345332	2911.56434	27.904063	6	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	195	4.3443157	1140.24465	11.989102	11.3072321	1982-1999 –> 2000-2009	7.5851708	3.2408551	2913.50260	25.655446	7	14
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	195	4.3511486	1140.85757	11.861712	10.0334319	1982-1999 –> 2000-2009	7.5962934	3.2451448	2915.01237	24.959606	8	16
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	195	4.3784146	1143.29384	10.459977	10.0170066	1982-1999 –> 2000-2009	7.6468844	3.2684698	2922.30444	25.092112	9	18
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	195	4.4744559	1151.75609	68.662333	10.7896397	1982-1999 –> 2000-2009	7.9164457	3.4419897	2965.83812	121.421421	10	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	280	3.5179481	1513.01720	349.014066	14.3863133	2000-2009 –> 2010-2019	7.7301147	4.2121666	2641.21432	537.360004	2	3
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	280	3.4879104	1508.21515	12.514029	15.1596208	2000-2009 –> 2010-2019	7.8322261	4.3443157	2648.45980	24.503131	1	8
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	280	3.5280245	1514.61891	12.518965	14.3935647	2000-2009 –> 2010-2019	7.8330932	4.3050687	2651.32424	22.985368	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	280	3.5316531	1515.19457	12.323423	14.3791024	2000-2009 –> 2010-2019	7.8589096	4.3272566	2653.90476	24.274106	4	8
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	280	3.5337546	1515.52770	11.324713	14.3625309	2000-2009 –> 2010-2019	7.8697988	4.3360442	2655.02908	22.198625	5	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	280	3.6791944	1538.11411	347.088778	12.9487717	2000-2009 –> 2010-2019	7.9149960	4.2358016	2668.49345	534.060151	18	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	280	3.6885346	1539.53396	13.055270	12.9504155	2000-2009 –> 2010-2019	8.0260115	4.3374769	2679.16419	24.526451	19	25
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	280	3.6904295	1539.82158	12.226428	12.9472472	2000-2009 –> 2010-2019	8.0415781	4.3511486	2680.67915	24.088140	20	28
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	280	3.6950679	1540.52498	11.515567	12.9230879	2000-2009 –> 2010-2019	8.0734825	4.3784146	2683.81881	21.975544	23	32
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	280	3.5480863	1517.79428	195.779083	17.0800491	2000-2009 –> 2010-2019	8.0752334	4.5271471	2674.11617	346.400904	6	22
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	266	2.9759262	1349.05073	18.738818	7.0393155	1982-1999 –> 2000-2009	5.7419127	2.7659865	3190.30265	51.168943	1	6
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	266	3.0832651	1367.90151	100.099837	9.7437457	1982-1999 –> 2000-2009	5.7507884	2.6675234	3181.96826	314.010061	6	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	266	2.9763191	1349.12095	19.519203	7.1250744	1982-1999 –> 2000-2009	5.7760658	2.7997468	3199.47158	52.246934	2	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	266	2.9768698	1349.21938	19.142726	7.1462711	1982-1999 –> 2000-2009	5.7885455	2.8116757	3202.75877	52.022389	3	12
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	266	3.1148181	1373.31814	46.482688	7.7324317	1982-1999 –> 2000-2009	5.8443928	2.7295747	3204.63140	113.215622	8	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	266	3.1720764	1381.00886	80.516790	7.8194486	1982-1999 –> 2000-2009	5.8827065	2.7106300	3205.09858	290.525594	16	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	266	3.1295698	1375.83173	45.383851	7.7973121	1982-1999 –> 2000-2009	5.8943301	2.7647603	3216.75108	111.805304	9	13
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	266	2.9959557	1352.61937	49.126420	8.6471002	1982-1999 –> 2000-2009	5.9234581	2.9275023	3236.43548	115.528387	4	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	266	3.1428803	1378.08961	47.473573	7.9021141	1982-1999 –> 2000-2009	5.9291099	2.7862296	3224.81047	114.727245	14	21
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	266	3.0065134	1352.49082	7.766272	8.2809872	1982-1999 –> 2000-2009	5.9352142	2.9287008	3234.61392	28.492442	5	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	399	4.0481592	2262.12624	381.785758	11.6682058	2000-2009 –> 2010-2019	7.1314243	3.0832651	3630.02775	481.885595	1	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	399	4.0497790	2262.44548	44.962488	11.1047560	2000-2009 –> 2010-2019	7.1990919	3.1493128	3641.62282	64.134007	2	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	399	4.0610781	2264.66883	45.580981	11.1620397	2000-2009 –> 2010-2019	7.2024003	3.1413222	3642.49464	65.213110	3	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	399	4.0879171	2269.92534	99.351459	11.7699890	2000-2009 –> 2010-2019	7.2027352	3.1148181	3643.24348	145.834147	4	12
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	399	4.0887332	2270.08463	45.313911	11.3809634	2000-2009 –> 2010-2019	7.2207378	3.1320047	3646.33011	65.538863	5	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	399	4.2468642	2300.36529	39.355075	13.1771635	2000-2009 –> 2010-2019	7.2227904	2.9759262	3649.41602	58.093893	13	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	399	4.1025726	2272.78112	98.946009	11.7994935	2000-2009 –> 2010-2019	7.2321424	3.1295698	3648.61285	144.329860	6	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	399	4.2695196	2304.61100	39.730218	13.3064103	2000-2009 –> 2010-2019	7.2458386	2.9763191	3653.73195	59.249421	15	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	399	4.2741491	2305.47581	39.815790	13.3246836	2000-2009 –> 2010-2019	7.2510189	2.9768698	3654.69519	58.958516	16	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	399	4.1174451	2275.66876	99.792980	11.8960769	2000-2009 –> 2010-2019	7.2603254	3.1428803	3653.75837	147.266553	8	22
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	437	2.2563607	1965.37256	138.502939	6.7544677	1982-1999 –> 2000-2009	3.9467597	1.6903990	5000.19804	312.387066	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	437	2.3258848	1989.89614	86.902743	10.1912322	1982-1999 –> 2000-2009	4.0464360	1.7205512	5050.19648	247.262753	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	437	2.3904831	2015.83934	87.195481	6.1759019	1982-1999 –> 2000-2009	4.2399778	1.8494947	5190.44376	141.523829	3	6
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	437	2.4136640	2024.27382	40.322144	9.4271827	1982-1999 –> 2000-2009	4.2924413	1.8787773	5223.28960	83.809454	4	8
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	437	2.4414961	2034.29431	85.380464	5.9087131	1982-1999 –> 2000-2009	4.3637303	1.9222341	5268.84532	139.575360	5	11
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	437	2.5022807	2053.78734	16.221759	10.6705256	1982-1999 –> 2000-2009	4.3866544	1.8843737	5255.42523	44.900757	8	13
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	437	2.4901171	2051.52846	40.438819	9.5746019	1982-1999 –> 2000-2009	4.4450789	1.9549618	5312.31493	84.060531	6	13
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	437	2.4936948	2052.78330	89.866240	6.1766706	1982-1999 –> 2000-2009	4.4554475	1.9617527	5318.95848	144.428984	7	16
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	437	2.5198585	2061.90546	40.415520	9.5823668	1982-1999 –> 2000-2009	4.5064895	1.9866311	5347.66413	84.053538	9	19
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	437	2.5762166	2079.23761	3.425530	10.8121253	1982-1999 –> 2000-2009	4.5370931	1.9608765	5342.71859	7.456456	10	18
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	718	2.4769462	3354.08566	367.130080	8.0320187	2000-2009 –> 2010-2019	4.7333068	2.2563607	5319.45823	505.633019	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	718	2.5100961	3373.17672	91.218577	8.2219439	2000-2009 –> 2010-2019	4.9005792	2.3904831	5389.01605	178.414059	2	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	718	2.5228723	3380.46734	90.238087	8.2625661	2000-2009 –> 2010-2019	4.9643684	2.4414961	5414.76165	175.618551	3	8
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	718	2.5532499	3397.65479	94.418509	8.4070927	2000-2009 –> 2010-2019	5.0469447	2.4936948	5450.43808	184.284749	4	11
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	718	2.8589493	3560.04793	30.863811	13.6254278	2000-2009 –> 2010-2019	5.2726133	2.4136640	5584.32175	71.185955	7	11
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	718	2.9696399	3612.59660	313.790321	13.9488001	2000-2009 –> 2010-2019	5.2955248	2.3258848	5602.49274	400.693063	11	13
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	718	2.6719290	3462.89752	102.346679	8.7435497	2000-2009 –> 2010-2019	5.3010271	2.6290981	5561.89389	201.687221	5	17
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	718	2.8870239	3574.08052	24.645979	13.7078252	2000-2009 –> 2010-2019	5.3771410	2.4901171	5625.60898	65.084798	9	15
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	718	2.8976761	3579.36917	24.654230	13.7183699	2000-2009 –> 2010-2019	5.4175346	2.5198585	5641.27463	65.069750	10	19
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	718	2.8813379	3569.24956	30.455891	13.4684527	2000-2009 –> 2010-2019	5.5113724	2.6300345	5666.55718	47.964368	8	21
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	532	1.8720745	2190.92880	244.467007	6.0350504	1982-1999 –> 2000-2009	3.2982588	1.4261843	5657.01820	585.331363	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	532	2.0076108	2265.30046	113.950821	7.1133256	1982-1999 –> 2000-2009	3.5036649	1.4960541	5824.46402	230.533067	6	11
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	532	1.9807149	2250.94976	92.356300	6.7823323	1982-1999 –> 2000-2009	3.5121789	1.5314640	5855.63632	203.006193	2	9
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	532	1.9864705	2254.03707	90.472591	6.7937677	1982-1999 –> 2000-2009	3.5533153	1.5668448	5903.16980	200.121820	4	12
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	532	2.1904752	2358.05269	38.698165	10.0860683	1982-1999 –> 2000-2009	3.5981713	1.4076961	5798.75032	138.745896	8	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	532	2.2258811	2375.11320	27.706280	10.0970598	1982-1999 –> 2000-2009	3.6771068	1.4512257	5875.07460	50.847546	11	14
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	532	2.0677086	2296.68389	104.517812	7.2196765	1982-1999 –> 2000-2009	3.6774913	1.6097827	5998.42730	216.887442	7	16
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	532	2.2344064	2379.18064	27.632125	10.1032253	1982-1999 –> 2000-2009	3.6983967	1.4639903	5896.18371	50.732872	12	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	532	2.1943693	2357.94254	36.167918	9.9168850	1982-1999 –> 2000-2009	3.7017445	1.5073752	5929.77663	121.238517	9	15
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	532	2.4000543	2455.27342	26.465921	12.9291034	1982-1999 –> 2000-2009	4.1135752	1.7135209	6278.54657	48.916962	14	25
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	993	1.9788983	4187.53696	390.029960	9.0909913	2000-2009 –> 2010-2019	3.8509729	1.8720745	6378.46576	634.496967	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	993	2.0125378	4221.01340	107.756265	9.7400104	2000-2009 –> 2010-2019	3.9982529	1.9857151	6474.64579	153.910026	2	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	993	2.0230370	4231.34721	229.065664	9.0217246	2000-2009 –> 2010-2019	4.0306478	2.0076108	6496.64767	343.016485	3	9
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	993	2.0934467	4299.29227	197.739381	9.7133649	2000-2009 –> 2010-2019	4.0741616	1.9807149	6550.24203	290.095681	5	7
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	993	2.0888173	4294.89556	193.859881	9.7051217	2000-2009 –> 2010-2019	4.0752878	1.9864705	6548.93262	284.332472	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	993	2.1023896	4305.75809	105.741143	9.6134739	2000-2009 –> 2010-2019	4.1043825	2.0019929	6566.07696	151.239028	6	11
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	993	2.1740649	4374.33681	213.823960	10.0889611	2000-2009 –> 2010-2019	4.2417735	2.0677086	6671.02070	318.341772	8	15
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	993	2.1242832	4328.33268	312.465498	9.5947536	2000-2009 –> 2010-2019	4.3456159	2.2213327	6701.26948	461.114002	7	17
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	993	2.2307291	4425.43632	64.578961	11.3758512	2000-2009 –> 2010-2019	4.4212043	2.1904752	6783.48900	103.277126	9	17
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	993	2.2463168	4437.26561	59.130414	11.9545741	2000-2009 –> 2010-2019	4.4406861	2.1943693	6795.20815	95.298332	10	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1146	3.0609354	5830.31460	308.638645	7.5696476	1982-1999 –> 2000-2009	4.5828490	1.5219137	10757.87428	718.705006	1	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1146	3.4629436	6113.14380	45.989871	13.8886795	1982-1999 –> 2000-2009	4.8280311	1.3650875	10750.12352	80.558024	8	13
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1146	3.5777878	6187.92193	46.401626	15.5407138	1982-1999 –> 2000-2009	4.8677210	1.2899332	10673.59125	80.774291	15	17
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1146	3.5824413	6190.90111	45.473993	15.4457626	1982-1999 –> 2000-2009	4.8883080	1.3058667	10709.37338	79.718784	16	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1146	3.4217842	6085.73865	353.016682	10.2052540	1982-1999 –> 2000-2009	4.8918674	1.4700833	10920.71486	910.745453	6	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1146	3.7223836	6278.72988	46.084288	14.2697860	1982-1999 –> 2000-2009	4.9676432	1.2452596	10670.22095	115.558540	22	23
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1146	3.1771583	5915.72977	319.697936	9.9721428	1982-1999 –> 2000-2009	5.0203569	1.8431985	11355.06793	1063.275943	2	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1146	3.7606715	6302.18468	315.507384	15.0121679	1982-1999 –> 2000-2009	5.0768650	1.3161935	10841.70406	1158.966425	24	28
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1146	3.5123400	6145.60654	198.031860	8.3861841	1982-1999 –> 2000-2009	5.0947381	1.5823982	11177.30205	475.546921	11	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1146	3.3336920	6025.95938	208.637174	9.4485997	1982-1999 –> 2000-2009	5.1325438	1.7988518	11400.22410	669.667313	3	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1481	3.0103932	7481.22932	33.518104	8.5526966	2000-2009 –> 2010-2019	6.4733367	3.4629436	13594.37312	79.507976	1	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1481	3.0852387	7553.97109	495.320896	9.4787069	2000-2009 –> 2010-2019	6.5352142	3.4499756	13658.51572	650.855684	7	14
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1481	3.1212077	7588.30365	623.937238	9.2308580	2000-2009 –> 2010-2019	6.5429919	3.4217842	13674.04230	976.953920	13	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1481	3.0105839	7481.41694	33.356547	8.6069108	2000-2009 –> 2010-2019	6.5883717	3.5777878	13669.33887	79.758172	2	17
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1481	3.5290741	7952.08322	382.082594	9.6500374	2000-2009 –> 2010-2019	6.5900095	3.0609354	13782.39782	690.721240	23	24
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1481	3.0117753	7482.58891	33.341504	8.6149081	2000-2009 –> 2010-2019	6.5942166	3.5824413	13673.49002	78.815497	3	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1481	3.4931167	7921.74889	726.898511	11.9393875	2000-2009 –> 2010-2019	6.6702751	3.1771583	13837.47866	1046.596446	18	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1481	3.2982541	7751.72678	64.819586	8.9832350	2000-2009 –> 2010-2019	6.6723393	3.3740852	13805.29066	109.015140	15	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1481	3.0202896	7488.95071	33.333352	8.9268723	2000-2009 –> 2010-2019	6.7623769	3.7420873	13777.78086	78.770848	4	27
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	1481	3.3112919	7761.41229	64.180581	9.4536252	2000-2009 –> 2010-2019	6.7875362	3.4762443	13881.34251	101.987531	16	25
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2232	2.4966766	10432.52525	19.100207	17.4199840	1982-1999 –> 2000-2009	3.9130570	1.4163804	20144.05787	34.539032	2	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2232	2.4941516	10428.00823	20.738272	18.2048947	1982-1999 –> 2000-2009	3.9159150	1.4217634	20160.35876	36.570565	1	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2232	2.4981354	10435.13283	20.801417	17.9164450	1982-1999 –> 2000-2009	3.9190869	1.4209515	20164.34856	36.715926	3	5
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2232	2.5503283	10527.43705	29.026052	15.8715208	1982-1999 –> 2000-2009	4.0741275	1.5237992	20640.15398	63.228792	7	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2232	2.5191731	10470.56836	15.635759	17.0816422	1982-1999 –> 2000-2009	4.1691207	1.6499476	21017.78341	29.495495	4	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2232	2.5235307	10478.28335	15.743644	16.7130937	1982-1999 –> 2000-2009	4.1739521	1.6504214	21027.07424	30.109717	5	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2232	2.7629081	10882.83240	15.795223	22.8972812	1982-1999 –> 2000-2009	4.1941246	1.4312165	20649.55096	30.799644	13	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2232	2.5358726	10500.06233	16.351046	15.8510013	1982-1999 –> 2000-2009	4.1955134	1.6596408	21079.42434	30.517471	6	15
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2232	2.5672933	10557.03362	432.315978	15.5711461	1982-1999 –> 2000-2009	4.2072062	1.6399129	21072.76965	1107.810610	8	14
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	2232	2.5760984	10570.31770	15.609063	14.5786172	1982-1999 –> 2000-2009	4.2907486	1.7146502	21328.63184	29.361431	9	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2445	2.1072455	10597.52569	18.488278	9.2920764	2000-2009 –> 2010-2019	4.6013971	2.4941516	21025.53392	39.226550	5	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2445	2.1049524	10592.20138	18.815923	9.2385623	2000-2009 –> 2010-2019	4.6030878	2.4981354	21027.33421	39.617340	4	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2445	2.0380307	10434.21107	797.915951	9.2449209	2000-2009 –> 2010-2019	4.6133456	2.5753150	21005.17098	1602.199083	1	13
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2445	2.1183958	10623.33254	18.685877	9.3062709	2000-2009 –> 2010-2019	4.6150725	2.4966766	21055.85780	37.786083	7	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2445	2.0929814	10564.31237	32.180955	9.3559664	2000-2009 –> 2010-2019	4.6433097	2.5503283	21091.74942	61.207007	3	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2445	2.0911881	10560.12082	682.718037	9.0148908	2000-2009 –> 2010-2019	4.6584814	2.5672933	21117.15444	1115.034015	2	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	2445	2.1082755	10597.91528	32.005576	9.1080725	2000-2009 –> 2010-2019	4.6863009	2.5780254	21171.57087	60.497577	6	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2445	2.2258838	10865.36263	672.480713	10.5219647	2000-2009 –> 2010-2019	4.7956215	2.5697378	21426.64466	1294.862725	10	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2445	2.3393694	11108.52957	763.906451	11.4438471	2000-2009 –> 2010-2019	4.8621236	2.5227542	21587.43908	1488.685981	16	22
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2445	2.2695228	10958.30462	634.662877	9.9816986	2000-2009 –> 2010-2019	4.8652388	2.5957161	21562.48812	1210.698888	11	26
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	943	1.1248948	2912.08047	32.400493	5.4321788	1982-1999 –> 2000-2009	1.8070002	0.6821054	4922.12417	63.109667	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	943	1.1722742	2989.88951	29.202281	5.6523079	1982-1999 –> 2000-2009	1.8929717	0.7206975	5105.93118	55.911617	5	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	943	1.1727790	2990.70151	28.143076	5.6610359	1982-1999 –> 2000-2009	1.8943764	0.7215974	5109.14657	53.997155	6	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	943	1.1767772	2997.12026	28.913923	5.6967216	1982-1999 –> 2000-2009	1.8977700	0.7209928	5113.95094	52.892103	7	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	943	1.1342061	2925.62765	30.580025	5.3272771	1982-1999 –> 2000-2009	1.9497394	0.8155332	5277.76663	59.644270	2	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	943	1.2500677	3109.06890	26.039072	6.8721427	1982-1999 –> 2000-2009	1.9734232	0.7233555	5230.20091	48.603914	8	13
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	943	1.1634252	2975.59894	26.908462	5.6191665	1982-1999 –> 2000-2009	2.0201933	0.8567681	5424.73806	54.480629	3	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	943	1.1636155	2973.90739	25.798537	5.6480419	1982-1999 –> 2000-2009	2.0682682	0.9046527	5525.78971	52.196357	4	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	943	1.3924927	3312.56404	24.280266	5.9569480	1982-1999 –> 2000-2009	2.4023741	1.0098814	6076.37791	46.653004	11	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	943	1.4537842	3393.80256	27.596765	6.2582405	1982-1999 –> 2000-2009	2.5163044	1.0625202	6255.47780	52.429450	14	24
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	949	1.2572889	3141.70705	33.759490	5.3430480	2000-2009 –> 2010-2019	2.3821836	1.1248948	6053.78753	66.159983	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	949	1.3353100	3253.97758	15.211869	4.7733283	2000-2009 –> 2010-2019	2.4695161	1.1342061	6179.60523	45.791894	5	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	949	1.3146656	3226.40457	38.444606	5.4986088	2000-2009 –> 2010-2019	2.4869398	1.1722742	6216.29408	67.646887	2	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	949	1.3208536	3235.31730	38.470571	5.5135714	2000-2009 –> 2010-2019	2.4936326	1.1727790	6226.01882	66.613647	4	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	949	1.3175362	3230.54444	37.031074	5.4985631	2000-2009 –> 2010-2019	2.4943134	1.1767772	6227.66470	65.944997	3	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	949	1.4140011	3364.65685	33.525210	6.0791153	2000-2009 –> 2010-2019	2.5774263	1.1634252	6340.25578	60.433672	7	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	949	1.3586293	3286.83739	35.877971	5.2832963	2000-2009 –> 2010-2019	2.6086970	1.2500677	6395.90629	61.917043	6	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	949	1.4650510	3429.97272	13.453935	5.5731310	2000-2009 –> 2010-2019	2.6286666	1.1636155	6403.88010	39.252472	8	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	949	1.6528959	3658.94513	17.351641	6.5609548	2000-2009 –> 2010-2019	3.0166033	1.3637074	6932.11357	46.332276	9	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	949	1.6612245	3668.48464	16.505239	6.6690331	2000-2009 –> 2010-2019	3.0184419	1.3572174	6932.65612	42.105002	10	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	836	1.1444639	2612.07871	45.806632	12.2962059	1982-1999 –> 2000-2009	2.2214064	1.0769426	5692.83339	74.837144	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	836	1.1896038	2676.75838	65.660803	12.5643609	1982-1999 –> 2000-2009	2.3074365	1.1178328	5834.05682	109.555341	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	836	1.1971504	2687.33177	45.296160	12.6608195	1982-1999 –> 2000-2009	2.3156704	1.1185199	5845.89252	68.676692	4	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	836	1.2144466	2711.31559	51.981778	12.7945273	1982-1999 –> 2000-2009	2.3345440	1.1200974	5872.77109	94.171617	5	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	836	1.2845451	2803.14176	22.863594	13.5542533	1982-1999 –> 2000-2009	2.4063350	1.1217899	5965.69853	43.274699	8	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	836	1.1904520	2675.95014	45.083702	12.3757354	1982-1999 –> 2000-2009	2.4202516	1.2297996	6027.32234	72.243131	3	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	836	1.2561931	2765.82468	18.139024	13.5375590	1982-1999 –> 2000-2009	2.4996987	1.2435056	6139.96194	38.014517	6	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	836	1.3062289	2831.13048	44.741879	13.8273554	1982-1999 –> 2000-2009	2.6071974	1.3009685	6298.05613	86.080572	9	18
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	836	1.3491497	2887.18663	39.221896	12.7698625	1982-1999 –> 2000-2009	2.6117197	1.2625700	6294.57508	64.384276	11	19
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	836	1.3222585	2851.52379	19.526111	14.0460376	1982-1999 –> 2000-2009	2.6272420	1.3049835	6324.77869	41.016345	10	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	941	1.7396021	3726.42368	31.138758	10.0969727	2000-2009 –> 2010-2019	2.8840660	1.1444639	6338.50239	76.945390	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	941	1.7969381	3787.45272	48.763083	10.0977272	2000-2009 –> 2010-2019	2.9865419	1.1896038	6464.21110	114.423886	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	941	1.8046688	3795.53204	34.639325	10.1543304	2000-2009 –> 2010-2019	3.0018193	1.1971504	6482.86381	79.935485	3	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	941	1.8100710	3801.15722	45.955037	10.1705079	2000-2009 –> 2010-2019	3.0245175	1.2144466	6512.47281	97.936815	4	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	941	1.9732662	3961.61920	21.550380	10.4646836	2000-2009 –> 2010-2019	3.1637183	1.1904520	6637.56933	66.634082	6	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	941	1.8911204	3881.59520	31.427376	11.1884212	2000-2009 –> 2010-2019	3.1756654	1.2845451	6684.73696	54.290969	5	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	941	1.9932316	3982.56542	30.795428	11.0220596	2000-2009 –> 2010-2019	3.3423812	1.3491497	6869.75205	70.017323	7	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	941	2.1532022	4127.85375	536.276833	11.4040493	2000-2009 –> 2010-2019	3.4988777	1.3456755	7010.72929	1209.292064	9	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	941	2.1537663	4126.34675	18.394283	11.4162466	2000-2009 –> 2010-2019	3.5064689	1.3527026	7015.93078	56.197806	10	23
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	941	2.3502645	4290.66375	31.051022	11.8634170	2000-2009 –> 2010-2019	3.6064576	1.2561931	7056.48844	49.190046	18	24
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	995	4.2762166	5729.29431	80.550310	24.0600190	1982-1999 –> 2000-2009	7.6590075	3.3827908	12490.37637	144.214758	1	2
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate	995	4.3159781	5743.71240	997.585162	16.4076602	1982-1999 –> 2000-2009	7.7856648	3.4696866	12565.67362	1590.139647	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	995	4.3255793	5750.13435	78.011893	24.1190431	1982-1999 –> 2000-2009	7.8915670	3.5659877	12644.12540	138.606276	3	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	995	4.3284416	5753.45075	97.038179	20.6865992	1982-1999 –> 2000-2009	7.9256027	3.5971611	12671.70632	171.059464	5	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	995	4.3284676	5753.46271	31.622611	20.6944100	1982-1999 –> 2000-2009	7.9261044	3.5976368	12672.05651	56.241431	6	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	995	4.3277920	5753.15206	31.954231	20.7482070	1982-1999 –> 2000-2009	7.9274880	3.5996960	12673.20960	64.030986	4	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	995	4.4516917	5807.32322	64.396105	26.2165554	1982-1999 –> 2000-2009	7.9447386	3.4930469	12648.44888	118.458754	12	15
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	995	4.3292121	5751.80497	22.638099	20.6613065	1982-1999 –> 2000-2009	8.0969460	3.7677339	12786.56953	41.201130	8	21
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	995	4.3317263	5752.96031	25.864352	20.5562224	1982-1999 –> 2000-2009	8.1113716	3.7796453	12795.79903	45.932695	10	24
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	995	4.3315476	5752.87820	82.960279	20.5429702	1982-1999 –> 2000-2009	8.1138672	3.7823197	12797.52627	156.915795	9	24
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate	1159	3.8041081	6396.13656	963.142043	12.7435162	2000-2009 –> 2010-2019	8.1200862	4.3159781	12139.84896	1960.727205	1	3
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1159	4.0054252	6519.67162	92.209070	17.9440600	2000-2009 –> 2010-2019	8.2816418	4.2762166	12248.96593	172.759380	2	3
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1159	4.0482803	6544.34078	43.691896	18.9624450	2000-2009 –> 2010-2019	8.3760723	4.3277920	12297.49284	75.646127	3	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1159	4.0563421	6548.95227	48.531971	18.9329125	2000-2009 –> 2010-2019	8.3848097	4.3284676	12302.41497	80.154583	4	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1159	4.0569436	6549.29599	107.363718	18.9435544	2000-2009 –> 2010-2019	8.3853852	4.3284416	12302.74673	204.401896	5	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1159	4.0658120	6552.35757	28.403489	19.3353744	2000-2009 –> 2010-2019	8.3947185	4.3289065	12304.02203	48.526254	6	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	1159	4.2218818	6639.67076	40.820089	19.5998699	2000-2009 –> 2010-2019	8.5510939	4.3292121	12391.47573	63.458188	7	15
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1159	4.2470185	6653.43098	100.623218	19.6579895	2000-2009 –> 2010-2019	8.5785660	4.3315476	12406.30918	183.583497	8	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1159	4.2508228	6655.50647	46.938055	19.6268851	2000-2009 –> 2010-2019	8.5825491	4.3317263	12408.46678	72.802407	9	19
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1159	4.3086436	6686.82395	91.542924	19.0173788	2000-2009 –> 2010-2019	8.6342228	4.3255793	12436.95830	169.554816	12	15
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	565	1.0974449	1722.47317	52.206458	10.3109206	1982-1999 –> 2000-2009	1.8192737	0.7218288	3321.28150	117.557630	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	565	1.1215021	1744.97644	40.872566	10.9486884	1982-1999 –> 2000-2009	1.8442077	0.7227056	3343.54500	98.084541	3	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	565	1.1146675	1740.06897	154.387126	10.2509880	1982-1999 –> 2000-2009	1.8455010	0.7308335	3356.85400	422.378973	2	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	565	1.1216857	1747.16142	43.710626	10.3099008	1982-1999 –> 2000-2009	1.8560840	0.7343984	3371.00197	109.198386	4	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	565	1.1357850	1759.27670	143.675991	10.8644466	1982-1999 –> 2000-2009	1.8670710	0.7312860	3374.95907	304.112436	5	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	565	1.1405227	1763.98047	42.663220	10.8839663	1982-1999 –> 2000-2009	1.8750862	0.7345635	3386.14708	78.375979	6	12
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	565	1.1488371	1774.18825	139.911499	10.7635437	1982-1999 –> 2000-2009	1.8921023	0.7432652	3415.43068	389.800715	7	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	565	1.1509409	1774.25572	138.401079	10.8988877	1982-1999 –> 2000-2009	1.8993672	0.7484263	3423.53186	323.985224	8	17
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	565	1.2387635	1859.34898	46.582008	11.0718802	1982-1999 –> 2000-2009	2.0205157	0.7817523	3573.79464	114.697382	17	28
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	565	1.1603790	1783.48433	52.036014	10.0072905	1982-1999 –> 2000-2009	2.0222263	0.8618472	3637.36318	116.762235	9	29
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	709	1.4049495	2508.17674	111.104637	7.1987803	2000-2009 –> 2010-2019	2.5023943	1.0974449	4230.64990	163.311096	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	709	1.4061790	2507.41713	109.173280	7.1204143	2000-2009 –> 2010-2019	2.5276811	1.1215021	4252.39357	150.045846	3	6
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	709	1.4186299	2521.91741	382.857846	7.1244727	2000-2009 –> 2010-2019	2.5332973	1.1146675	4261.98638	537.244972	5	7
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	709	1.4262217	2529.48564	88.745818	7.2102560	2000-2009 –> 2010-2019	2.5479074	1.1216857	4276.64706	132.456444	9	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	709	1.4203184	2521.60419	324.854089	7.0237882	2000-2009 –> 2010-2019	2.5561034	1.1357850	4280.88090	468.530079	7	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	709	1.4053727	2506.60384	104.771518	7.1576762	2000-2009 –> 2010-2019	2.5657517	1.1603790	4290.08817	156.807532	2	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	709	1.4291975	2530.44121	87.476367	7.0828734	2000-2009 –> 2010-2019	2.5697202	1.1405227	4294.42169	130.139586	11	17
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	709	1.4361561	2539.32850	330.450777	7.3544350	2000-2009 –> 2010-2019	2.5849931	1.1488371	4313.51675	470.362276	13	20
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	709	1.4063242	2505.56360	100.369605	7.1025853	2000-2009 –> 2010-2019	2.5961588	1.1898346	4315.37430	141.223951	4	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	709	1.4192333	2520.52046	373.464166	7.0724254	2000-2009 –> 2010-2019	2.6023616	1.1831283	4325.94411	516.803709	6	16
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	908	1.2931994	3057.72103	73.312397	8.4302400	1982-1999 –> 2000-2009	1.9156353	0.6224359	4670.36306	142.569907	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	908	1.2958815	3061.48357	96.953131	8.4132194	1982-1999 –> 2000-2009	1.9270548	0.6311733	4697.71178	314.277327	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	908	1.3037300	3072.44888	50.838202	8.2709463	1982-1999 –> 2000-2009	1.9403664	0.6366364	4723.25924	90.052272	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + silicate + phosphate	908	1.3188288	3091.35967	72.778781	8.4089254	1982-1999 –> 2000-2009	1.9844557	0.6656268	4815.51552	129.050771	4	10
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	908	1.3979588	3199.17629	75.004084	8.3214944	1982-1999 –> 2000-2009	2.0482099	0.6502511	4885.78913	265.230960	8	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	908	1.3421234	3123.15578	49.045667	8.7981261	1982-1999 –> 2000-2009	2.0652326	0.7231093	4987.46191	104.916219	5	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	908	1.4273322	3234.93803	67.006778	8.1154709	1982-1999 –> 2000-2009	2.0913754	0.6640433	4955.06380	228.346284	12	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	908	1.3861573	3181.78062	63.298308	11.4432238	1982-1999 –> 2000-2009	2.1044403	0.7182830	5034.75608	132.046335	6	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	908	1.4230899	3229.53249	44.343094	7.9937040	1982-1999 –> 2000-2009	2.1055886	0.6824988	4996.04170	112.942585	10	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	908	1.4247736	3231.67987	70.211410	7.9610051	1982-1999 –> 2000-2009	2.1127541	0.6879805	5011.72476	211.569172	11	19
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	935	1.1312888	2898.09365	153.153471	5.3762523	2000-2009 –> 2010-2019	2.4244882	1.2931994	5955.81467	226.465869	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	935	1.1410608	2914.17712	294.452696	5.3167024	2000-2009 –> 2010-2019	2.4369423	1.2958815	5975.66070	391.405827	5	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	935	1.1496793	2928.24838	101.734577	5.4072068	2000-2009 –> 2010-2019	2.4534093	1.3037300	6000.69726	152.572779	8	11
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	935	1.1368036	2905.18727	116.741213	5.2155147	2000-2009 –> 2010-2019	2.5229609	1.3861573	6086.96789	180.039521	3	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	935	1.1472120	2922.23091	288.018739	5.1353650	2000-2009 –> 2010-2019	2.5384485	1.3912365	6110.65363	356.685797	7	14
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	935	1.1563498	2937.06675	76.869049	5.2227317	2000-2009 –> 2010-2019	2.5585048	1.4021550	6139.68595	122.247472	11	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	935	1.1366547	2904.94231	132.405391	5.5332637	2000-2009 –> 2010-2019	2.5597445	1.4230899	6134.47480	176.748484	2	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	935	1.1457690	2919.87716	274.298436	5.4752567	2000-2009 –> 2010-2019	2.5705426	1.4247736	6151.55702	344.509846	6	17
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	935	1.1736875	2966.89651	250.292483	5.7061304	2000-2009 –> 2010-2019	2.5716463	1.3979588	6166.07280	325.296567	13	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	935	1.1529490	2931.55916	88.598214	5.5336777	2000-2009 –> 2010-2019	2.5812076	1.4282586	6167.67551	133.067909	10	23
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1598	1.0204592	4613.65538	141.923676	10.5439663	1982-1999 –> 2000-2009	1.6729567	0.6524975	7591.72296	209.397391	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1598	1.0207059	4612.42787	62.613538	10.3934017	1982-1999 –> 2000-2009	1.6748479	0.6541420	7596.01682	108.973759	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1598	1.0020469	4553.46288	915.855948	12.0525803	1982-1999 –> 2000-2009	1.6958905	0.6938435	7713.11090	1863.657484	1	9
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1598	1.0488403	4701.32897	633.460569	10.5196453	1982-1999 –> 2000-2009	1.6959275	0.6470873	7654.51823	972.819115	18	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1598	1.0514181	4707.17436	509.151152	10.2935183	1982-1999 –> 2000-2009	1.6986481	0.6472300	7659.02254	709.479575	19	21
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1598	1.0739511	4774.94449	909.258670	11.3419725	1982-1999 –> 2000-2009	1.7212962	0.6473451	7727.32406	1243.931435	21	24
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	1598	1.0708126	4765.59079	140.288429	11.2013456	1982-1999 –> 2000-2009	1.7266001	0.6557875	7756.68677	203.333488	20	26
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1598	1.0200555	4610.39074	330.382971	12.3312229	1982-1999 –> 2000-2009	1.7273555	0.7073000	7827.43354	471.690479	3	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1598	1.0253866	4627.05044	343.288820	12.3555901	1982-1999 –> 2000-2009	1.7373960	0.7120094	7863.92230	479.261980	7	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1598	1.0276369	4634.05663	402.498180	12.4551418	1982-1999 –> 2000-2009	1.7453476	0.7177107	7894.75897	601.072406	8	19
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1799	0.8535794	4549.71738	251.614192	4.9644937	2000-2009 –> 2010-2019	1.8740387	1.0204592	9163.37275	393.537868	1	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1799	0.8620081	4583.07169	276.246496	4.9755187	2000-2009 –> 2010-2019	1.8820636	1.0200555	9193.46243	606.629468	3	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1799	0.8659964	4599.68039	285.332987	4.9509907	2000-2009 –> 2010-2019	1.8913831	1.0253866	9226.73083	628.621806	4	10
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1799	0.8788967	4654.88273	170.686467	4.4796307	2000-2009 –> 2010-2019	1.8950880	1.0161912	9255.14295	270.520869	7	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1799	0.8767991	4644.28504	145.615282	4.7467079	2000-2009 –> 2010-2019	1.8975050	1.0207059	9256.71292	208.228819	6	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	1799	0.8537088	4548.26281	107.777598	4.9744233	2000-2009 –> 2010-2019	1.8976241	1.0439153	9232.54904	176.301739	2	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1799	0.8703916	4617.89523	442.443493	4.8708249	2000-2009 –> 2010-2019	1.8980286	1.0276369	9251.95186	844.941673	5	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1799	0.8858872	4681.38666	169.853191	4.3787888	2000-2009 –> 2010-2019	1.9084695	1.0225824	9299.68467	242.794292	9	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1799	0.8789447	4653.07910	134.541314	4.4564612	2000-2009 –> 2010-2019	1.9120797	1.0331350	9304.18935	201.815665	8	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	1799	0.8974410	4726.00886	103.128823	3.6707340	2000-2009 –> 2010-2019	1.9309103	1.0334693	9376.15316	162.670488	11	22
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2503	0.7188280	5464.55942	181.975873	3.7938297	1982-1999 –> 2000-2009	1.2261529	0.5073249	9089.91294	602.399644	1	3
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2503	0.7456953	5648.25491	635.019473	3.7066617	1982-1999 –> 2000-2009	1.2517208	0.5060254	9261.09802	917.967644	9	10
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2503	0.7424889	5626.68295	583.959456	3.7234726	1982-1999 –> 2000-2009	1.2521063	0.5096174	9274.02968	866.464800	4	7
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2503	0.7427126	5628.19100	595.220927	3.7143011	1982-1999 –> 2000-2009	1.2533461	0.5106335	9285.25363	874.281929	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2503	0.7433965	5630.79844	333.438664	3.8567442	1982-1999 –> 2000-2009	1.2539903	0.5105938	9285.48189	572.345085	7	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2503	0.7265701	5518.18850	50.034880	3.7520993	1982-1999 –> 2000-2009	1.2610625	0.5344923	9398.00673	98.674336	2	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2503	0.7427187	5626.23188	102.909051	3.7225076	1982-1999 –> 2000-2009	1.2612431	0.5185245	9356.09953	266.659126	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	2503	0.7280124	5526.11563	31.861578	3.7500934	1982-1999 –> 2000-2009	1.2626263	0.5346139	9405.04325	80.029851	3	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	2503	0.7434053	5630.85786	11.514572	3.6904591	1982-1999 –> 2000-2009	1.2857437	0.5423384	9579.76225	46.004604	8	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	2503	0.7478861	5658.94055	8.699278	3.9533271	1982-1999 –> 2000-2009	1.2950329	0.5471468	9648.90226	40.651795	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4184	0.5658093	7122.11624	621.510711	3.8433141	2000-2009 –> 2010-2019	1.2846372	0.7188280	12586.67566	803.486583	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4184	0.6055580	7690.24709	252.457297	3.7505322	2000-2009 –> 2010-2019	1.3321281	0.7265701	13208.43559	302.492177	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	4184	0.6072181	7711.15695	225.416925	3.5915793	2000-2009 –> 2010-2019	1.3352305	0.7280124	13237.27258	257.278503	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4184	0.6210308	7901.37552	859.889198	3.7592164	2000-2009 –> 2010-2019	1.3637434	0.7427126	13529.56652	1455.110126	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4184	0.6210622	7899.79746	608.168814	3.7812284	2000-2009 –> 2010-2019	1.3637808	0.7427187	13526.02934	711.077865	6	12
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4184	0.6214339	7906.80535	885.099598	3.7601977	2000-2009 –> 2010-2019	1.3639228	0.7424889	13533.48831	1469.059055	7	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4184	0.6236731	7936.90308	909.164951	3.7401585	2000-2009 –> 2010-2019	1.3693685	0.7456953	13585.15799	1544.184424	8	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4184	0.6260611	7966.88244	847.697525	3.5083580	2000-2009 –> 2010-2019	1.3694576	0.7433965	13597.68087	1181.136189	9	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	4184	0.6278295	7990.48602	21.431344	3.8823927	2000-2009 –> 2010-2019	1.3712349	0.7434053	13621.34388	32.945916	10	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	4184	0.6314407	8036.47922	11.103387	3.6485577	2000-2009 –> 2010-2019	1.3793268	0.7478861	13695.41977	19.802665	11	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1870	5.5723358	11745.45570	106.657932	27.9741821	1982-1999 –> 2000-2009	10.7930679	5.2207321	18559.92534	204.520923	1	9
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1870	5.8719382	11941.32115	21.486627	32.0912255	1982-1999 –> 2000-2009	10.7938984	4.9219602	18625.31805	52.265267	3	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1870	5.6773350	11815.27255	106.515290	22.8831084	1982-1999 –> 2000-2009	10.8455704	5.1682354	18607.36680	214.427605	2	7
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1870	6.0078479	12026.89916	14.878379	22.9150820	1982-1999 –> 2000-2009	10.9871046	4.9792567	18736.52039	40.308487	6	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1870	5.9779183	12008.22091	16.000619	35.1896101	1982-1999 –> 2000-2009	11.0594274	5.0815090	18762.84753	29.031256	5	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1870	6.0414750	12047.77433	17.066486	33.1165944	1982-1999 –> 2000-2009	11.1846578	5.1431828	18829.11028	32.776637	7	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1870	5.9369868	11980.52462	106.507916	24.3591049	1982-1999 –> 2000-2009	11.2229843	5.2859975	18820.50034	204.314511	4	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1870	6.1502900	12114.53725	6.143581	23.4211186	1982-1999 –> 2000-2009	11.3358115	5.1855215	18914.02425	13.047466	8	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1870	6.1766158	12130.51184	8.012942	23.4218468	1982-1999 –> 2000-2009	11.4008529	5.2242371	18946.46738	17.991905	9	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	1870	6.2977802	12201.16770	13.579659	22.9356677	1982-1999 –> 2000-2009	11.4901246	5.1923444	19001.56590	37.389536	10	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2886	4.1302229	16390.72192	196.340615	15.7392806	2000-2009 –> 2010-2019	9.7025587	5.5723358	28136.17762	302.998547	2	3
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2886	4.2974429	16619.80561	56.566238	17.5543020	2000-2009 –> 2010-2019	10.1693811	5.8719382	28561.12676	78.052865	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2886	4.2991757	16622.13252	53.928728	17.2990517	2000-2009 –> 2010-2019	10.2770940	5.9779183	28630.35343	69.929347	4	9
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2886	3.9649307	16154.97619	30.835681	17.2402482	2000-2009 –> 2010-2019	10.4675221	6.5025913	28477.83717	41.607375	1	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2886	4.4339077	16800.24481	57.551921	18.6649548	2000-2009 –> 2010-2019	10.4753827	6.0414750	28848.01913	74.618408	6	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2886	5.1162063	17626.40221	197.226921	23.0261491	2000-2009 –> 2010-2019	10.7935413	5.6773350	29441.67476	303.742211	12	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	2886	4.2991951	16620.15863	26.145139	17.2633536	2000-2009 –> 2010-2019	11.2916590	6.9924639	29212.66410	36.437279	5	23
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2886	5.4725451	18013.03434	195.257510	23.3019252	2000-2009 –> 2010-2019	11.4095319	5.9369868	29993.55896	301.765426	13	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2886	5.4794782	18022.34217	31.011452	30.5719314	2000-2009 –> 2010-2019	11.4873260	6.0078479	30049.24134	45.889830	14	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2886	5.5761821	18123.32022	11.715929	32.1824977	2000-2009 –> 2010-2019	11.7264721	6.1502900	30237.85746	17.859510	16	24
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2140	4.3118926	12341.75013	52.609683	15.9832553	1982-1999 –> 2000-2009	7.7358537	3.4239611	20437.44688	98.445776	3	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2140	4.3337619	12363.40287	510.888374	14.6466597	1982-1999 –> 2000-2009	7.7925132	3.4587512	20489.93362	1353.829899	6	8
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2140	4.4676017	12493.58236	30.306635	16.7086034	1982-1999 –> 2000-2009	7.9870443	3.5194425	20673.16785	50.265699	10	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2140	4.1648510	12193.24950	516.745016	15.3956493	1982-1999 –> 2000-2009	8.0042505	3.8393995	20638.22573	1327.603805	1	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2140	4.5070941	12531.25012	32.892061	16.8344788	1982-1999 –> 2000-2009	8.0461941	3.5391000	20727.82363	54.200439	11	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2140	4.1715467	12200.12479	53.369631	17.9633425	1982-1999 –> 2000-2009	8.0675851	3.8960384	20689.76602	98.692532	2	11
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2140	4.3195906	12349.38445	53.476387	13.5717701	1982-1999 –> 2000-2009	8.1850964	3.8655058	20815.02921	106.877037	4	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2140	4.3221480	12351.91758	18.998271	13.3774609	1982-1999 –> 2000-2009	8.2039083	3.8817604	20830.36079	30.405639	5	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2140	4.3381491	12367.73340	26.394022	13.4826494	1982-1999 –> 2000-2009	8.2309728	3.8928238	20854.85705	41.872820	7	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2140	4.3435829	12373.09100	30.144658	18.1460689	1982-1999 –> 2000-2009	8.3218557	3.9782729	20926.43924	49.110835	8	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1913	2.5851110	9076.67291	449.753008	12.9033093	2000-2009 –> 2010-2019	6.7499620	4.1648510	21269.92240	966.498023	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1913	2.7786148	9352.84926	42.081617	15.4771250	2000-2009 –> 2010-2019	6.9501616	4.1715467	21552.97405	95.451247	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1913	2.8600245	9463.33508	12.902281	16.2427072	2000-2009 –> 2010-2019	7.2036073	4.3435829	21836.42608	43.046939	3	11
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1913	2.8850273	9496.63729	13.108597	16.4496799	2000-2009 –> 2010-2019	7.2608638	4.3758365	21901.39235	45.103836	4	13
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1913	3.2697275	9975.54649	39.889196	18.3773372	2000-2009 –> 2010-2019	7.5893182	4.3195906	22324.93094	93.365583	6	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1913	3.2948075	10004.78135	15.434691	18.3284170	2000-2009 –> 2010-2019	7.6169555	4.3221480	22356.69893	34.432963	7	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1913	3.3096092	10021.93088	15.488549	18.2931662	2000-2009 –> 2010-2019	7.6477583	4.3381491	22389.66428	41.882571	8	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1913	3.2490762	9951.30513	236.471287	18.6491290	2000-2009 –> 2010-2019	7.7604415	4.5113653	22486.60937	502.597237	5	17
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1913	3.5870593	10329.93387	444.246717	19.2021860	2000-2009 –> 2010-2019	7.9208212	4.3337619	22693.33674	955.135091	13	19
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	1913	3.3988187	10121.69412	39.097749	20.0516412	2000-2009 –> 2010-2019	8.0969944	4.6981757	22828.65693	92.331277	10	23
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1907	4.4329880	11105.15924	120.543935	21.2070279	1982-1999 –> 2000-2009	7.6190576	3.1860696	17383.03488	205.863426	2	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1907	4.3964132	11073.56087	781.604089	22.1807811	1982-1999 –> 2000-2009	7.6526864	3.2562733	17404.39912	1381.821544	1	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1907	4.5113568	11171.99616	57.078234	21.9247837	1982-1999 –> 2000-2009	7.8170664	3.3057096	17539.44909	110.536433	5	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1907	4.4700813	11136.94030	120.663029	23.4566610	1982-1999 –> 2000-2009	7.8243682	3.3542870	17539.84223	206.640130	4	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1907	4.5194424	11178.82577	61.212983	21.9357588	1982-1999 –> 2000-2009	7.8400210	3.3205786	17557.18426	119.061412	6	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1907	4.4411063	11112.13753	114.408469	17.1466081	1982-1999 –> 2000-2009	7.8841920	3.4430857	17578.53259	187.492922	3	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1907	4.5398664	11196.02298	25.846634	24.1822569	1982-1999 –> 2000-2009	8.0116413	3.4717749	17682.58191	46.010472	7	15
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1907	4.5514670	11205.75630	38.946042	24.2456479	1982-1999 –> 2000-2009	8.0438369	3.4923699	17706.68771	68.742297	9	18
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1907	4.5475343	11202.45943	55.794340	17.4342860	1982-1999 –> 2000-2009	8.1338161	3.5862818	17767.87182	104.538308	8	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1907	4.5544558	11208.26006	58.847537	17.4349460	1982-1999 –> 2000-2009	8.1465072	3.5920514	17777.57867	109.227527	10	24
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1727	2.8272040	8504.71529	83.934576	15.0932636	2000-2009 –> 2010-2019	7.2683103	4.4411063	19616.85282	198.343045	1	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1727	2.9833281	8690.37208	480.057400	17.1567458	2000-2009 –> 2010-2019	7.3797412	4.3964132	19763.93295	1261.661489	4	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1727	2.9117390	8606.47793	29.201903	15.9131905	2000-2009 –> 2010-2019	7.4592733	4.5475343	19808.93736	84.996243	2	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1727	2.9217342	8618.31426	30.180998	15.9525946	2000-2009 –> 2010-2019	7.4761900	4.5544558	19826.57431	89.028535	3	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1727	3.0964406	8818.90846	100.322008	17.8201392	2000-2009 –> 2010-2019	7.5665219	4.4700813	19955.84877	220.985037	7	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1727	3.0422649	8757.94195	28.035447	16.2343561	2000-2009 –> 2010-2019	7.6660717	4.6238068	20023.84033	77.410942	6	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1727	2.9861050	8691.58564	429.260857	17.0485110	2000-2009 –> 2010-2019	7.6897791	4.7036741	20020.80091	1130.390175	5	18
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1727	3.1641183	8893.58798	12.774114	18.6149966	2000-2009 –> 2010-2019	7.7039847	4.5398664	20089.61096	38.620748	9	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1727	3.1733717	8903.67442	17.381611	18.7008703	2000-2009 –> 2010-2019	7.7248387	4.5514670	20109.43073	56.327653	11	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1727	3.2020552	8932.75419	27.991468	15.0409563	2000-2009 –> 2010-2019	7.8653470	4.6632918	20229.08392	76.766871	13	25
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2861	3.7117385	15637.57134	143.963828	13.5830674	1982-1999 –> 2000-2009	6.6551111	2.9433727	24671.13693	241.608776	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2861	3.9128245	15939.45913	835.513309	14.4028520	1982-1999 –> 2000-2009	6.8819828	2.9691582	25004.51258	1398.116190	6	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2861	3.8026290	15775.99968	73.486240	14.7400015	1982-1999 –> 2000-2009	6.9137102	3.1110813	25009.61073	133.760118	2	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2861	3.8057482	15780.69148	82.923652	14.7076553	1982-1999 –> 2000-2009	6.9304968	3.1247485	25030.12684	150.377063	3	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2861	3.9172204	15943.88388	777.659037	14.4947878	1982-1999 –> 2000-2009	6.9448118	3.0275914	25077.29226	1322.087045	7	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2861	3.8161980	15796.38138	51.558424	13.9784932	1982-1999 –> 2000-2009	7.0264397	3.2102416	25143.25930	103.067634	4	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2861	3.8189064	15798.44079	49.445736	14.1423806	1982-1999 –> 2000-2009	7.0308304	3.2119240	25145.21013	99.114350	5	14
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2861	3.9444009	15985.45022	144.125144	16.7734682	1982-1999 –> 2000-2009	7.0377716	3.0933706	25198.45166	242.953034	8	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2861	3.9654263	16013.86992	141.608124	16.8316043	1982-1999 –> 2000-2009	7.1352845	3.1698582	25313.04762	239.228631	9	16
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2861	4.0512146	16138.34012	35.344118	18.0566294	1982-1999 –> 2000-2009	7.3276416	3.2764269	25558.88826	63.476513	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2096	2.9407868	10484.00500	229.918545	18.7299973	2000-2009 –> 2010-2019	6.6525253	3.7117385	26121.57634	373.882373	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2096	3.0256984	10598.27722	46.515929	17.4216289	2000-2009 –> 2010-2019	6.8418965	3.8161980	26394.65860	98.074353	2	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2096	3.1334151	10744.84993	107.569753	19.9197774	2000-2009 –> 2010-2019	6.9360441	3.8026290	26520.84961	181.055993	3	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2096	3.1465455	10762.37123	122.356977	19.8948787	2000-2009 –> 2010-2019	6.9522938	3.8057482	26543.06271	205.280630	4	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2096	3.2286989	10868.36444	39.800527	18.4921685	2000-2009 –> 2010-2019	7.0476052	3.8189064	26666.80523	89.246263	6	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2096	3.2144138	10851.78509	746.964349	17.5305634	2000-2009 –> 2010-2019	7.1272384	3.9128245	26791.24423	1582.477658	5	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2096	3.2907026	10955.28607	150.595767	19.2063486	2000-2009 –> 2010-2019	7.2351035	3.9444009	26940.73629	294.720911	7	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2096	3.5049991	11212.40968	741.452313	19.2108935	2000-2009 –> 2010-2019	7.4222195	3.9172204	27156.29356	1519.111351	16	23
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2096	3.3829160	11065.86488	29.830534	19.8551896	2000-2009 –> 2010-2019	7.4341306	4.0512146	27204.20500	65.174651	9	19
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2096	3.3849577	11068.39298	44.420457	19.7936554	2000-2009 –> 2010-2019	7.4403514	4.0553937	27212.63263	100.299416	10	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3710	3.0493469	18815.28541	768.684692	9.6613802	1982-1999 –> 2000-2009	5.4937635	2.4444166	28750.96155	1457.952683	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3710	3.1795160	19125.45299	128.390614	10.3415987	1982-1999 –> 2000-2009	5.6274001	2.4478841	29067.21032	251.966190	2	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3710	3.2378490	19260.35042	130.983371	10.4943300	1982-1999 –> 2000-2009	5.6438987	2.4060497	29128.15780	256.836546	4	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3710	3.2264502	19232.18217	721.628986	10.1381957	1982-1999 –> 2000-2009	5.7083438	2.4818936	29231.13210	1311.382535	3	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3710	3.2930111	19383.69762	123.518481	10.3992334	1982-1999 –> 2000-2009	5.7554645	2.4624534	29348.91243	246.354981	5	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3710	3.3461856	19504.55624	63.509863	11.4221962	1982-1999 –> 2000-2009	5.8304734	2.4842878	29509.64256	126.918803	10	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3710	3.3103902	19424.75410	23.724770	10.9031059	1982-1999 –> 2000-2009	5.8374016	2.5270114	29502.99066	57.560034	6	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3710	3.3545843	19523.15652	70.566055	11.4541169	1982-1999 –> 2000-2009	5.8553349	2.5007506	29556.57794	140.417904	11	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3710	3.3141067	19433.07976	34.654367	10.9320085	1982-1999 –> 2000-2009	5.8563444	2.5422377	29537.08769	79.339242	8	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3710	3.3873041	19593.17883	21.628951	10.9410687	1982-1999 –> 2000-2009	5.9203247	2.5330206	29679.60478	53.364490	12	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3146	2.4335351	14537.71977	731.194017	9.5273069	2000-2009 –> 2010-2019	5.4828819	3.0493469	33353.00518	1499.878708	4	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3146	2.2941153	14166.50622	245.803639	11.2555665	2000-2009 –> 2010-2019	5.5319643	3.2378490	33426.85665	376.787011	1	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3146	2.5083676	14728.28687	164.715750	8.8762052	2000-2009 –> 2010-2019	5.6878836	3.1795160	33853.73986	293.106364	8	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3146	2.4953597	14693.57287	710.780474	10.9676714	2000-2009 –> 2010-2019	5.7218098	3.2264502	33925.75504	1432.409461	6	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3146	2.3871860	14416.72641	75.506630	11.7142066	2000-2009 –> 2010-2019	5.7333716	3.3461856	33921.28265	139.016493	2	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3146	2.3932215	14432.61445	86.337330	11.6918539	2000-2009 –> 2010-2019	5.7478058	3.3545843	33955.77098	156.903384	3	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3146	2.4700796	14631.50466	34.590613	9.7698157	2000-2009 –> 2010-2019	5.7831637	3.3130841	34062.29458	80.649459	5	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3146	2.5270641	14773.01142	160.053994	9.2714288	2000-2009 –> 2010-2019	5.8200752	3.2930111	34156.70904	283.572475	9	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3146	2.5895749	14928.75978	21.371028	9.5353746	2000-2009 –> 2010-2019	5.8999651	3.3103902	34353.51388	45.095797	10	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3146	2.5906181	14931.29406	33.722660	9.5008761	2000-2009 –> 2010-2019	5.9047248	3.3141067	34364.37382	68.377027	11	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4723	3.0922603	24080.90450	24.849676	10.2493784	1982-1999 –> 2000-2009	5.3547979	2.2625377	36201.96944	58.886389	2	6
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4723	3.1867515	24365.22687	322.436416	11.3039234	1982-1999 –> 2000-2009	5.3647053	2.1779538	36279.93560	662.415770	3	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4723	3.0694002	24010.81383	81.465851	9.5273998	1982-1999 –> 2000-2009	5.4022359	2.3328357	36297.59492	150.670055	1	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4723	3.2411441	24525.09409	257.335761	12.5267489	1982-1999 –> 2000-2009	5.4519557	2.2108115	36520.90112	449.416224	5	7
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4723	3.3162731	24739.55093	207.182263	13.5951688	1982-1999 –> 2000-2009	5.5372893	2.2210163	36758.29978	366.189151	11	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4723	3.2789265	24634.57018	58.806216	11.6305600	1982-1999 –> 2000-2009	5.5469304	2.2680039	36768.70429	131.392030	7	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4723	3.2793211	24635.70709	73.798051	11.5477968	1982-1999 –> 2000-2009	5.5599014	2.2805803	36799.79057	168.283089	8	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4723	3.3154188	24739.11750	38.003340	12.7631833	1982-1999 –> 2000-2009	5.6068014	2.2913825	36928.79408	86.168445	10	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4723	3.3219850	24757.80665	41.787761	12.7774103	1982-1999 –> 2000-2009	5.6291764	2.3071914	36984.72143	96.745359	12	20
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4723	3.2793410	24633.76440	19.100621	11.5238313	1982-1999 –> 2000-2009	5.6446429	2.3653019	36993.40062	40.114523	9	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4209	2.6036984	20014.08565	17.577948	12.2772378	2000-2009 –> 2010-2019	5.6959586	3.0922603	44094.99014	42.427624	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4209	2.5705434	19906.20403	251.773545	12.0284335	2000-2009 –> 2010-2019	5.7572949	3.1867515	44271.43090	574.209960	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4209	2.7886584	20591.79399	79.904114	9.7366112	2000-2009 –> 2010-2019	5.8580586	3.0694002	44602.60782	161.369966	13	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4209	2.6436136	20142.15612	395.845826	13.7774351	2000-2009 –> 2010-2019	5.8847577	3.2411441	44667.25021	653.181588	6	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4209	2.6286790	20094.46521	39.349547	12.4167622	2000-2009 –> 2010-2019	5.9076054	3.2789265	44729.03539	98.155763	3	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4209	2.6292045	20096.14791	40.602148	12.3783555	2000-2009 –> 2010-2019	5.9085256	3.2793211	44731.85500	114.400198	4	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4209	2.6301530	20097.18445	14.471333	12.2067200	2000-2009 –> 2010-2019	5.9094941	3.2793410	44730.94885	33.571954	5	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4209	2.6454215	20145.91086	191.436267	13.8183509	2000-2009 –> 2010-2019	5.9616945	3.3162731	44885.46179	398.618530	7	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4209	2.6947966	20303.57922	41.996438	14.1087890	2000-2009 –> 2010-2019	6.0102154	3.3154188	45042.69672	79.999778	8	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4209	2.6976958	20312.63103	46.752056	14.1218880	2000-2009 –> 2010-2019	6.0196808	3.3219850	45070.43768	88.539817	9	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5652	2.9103964	28129.62341	135.034232	9.2295589	1982-1999 –> 2000-2009	4.8731636	1.9627672	40962.95482	244.857175	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5652	2.9165840	28153.63033	48.478403	9.4572980	1982-1999 –> 2000-2009	4.9471957	2.0306118	41195.06640	107.297117	3	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5652	2.9110502	28132.16252	45.880294	9.4452271	1982-1999 –> 2000-2009	4.9499242	2.0388739	41198.46542	99.103973	2	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5652	2.9622712	28329.33104	32.334408	10.6633756	1982-1999 –> 2000-2009	5.0129371	2.0506659	41430.95045	60.863621	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	5652	3.0338245	28597.13218	32.283609	13.9982016	1982-1999 –> 2000-2009	5.0867953	2.0529708	41703.63097	57.528336	10	16
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5652	2.9979523	28464.67599	421.904233	9.5171895	1982-1999 –> 2000-2009	5.2187162	2.2207639	42054.29666	950.299417	5	15
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5652	3.0055395	28493.24792	61.757517	9.6101486	1982-1999 –> 2000-2009	5.2501891	2.2446496	42148.38422	117.288657	6	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5652	3.1989760	29198.32002	478.040888	10.1437744	1982-1999 –> 2000-2009	5.2507837	2.0518077	42303.34828	842.413895	14	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5652	3.0134620	28523.00593	61.658667	9.6768862	1982-1999 –> 2000-2009	5.2624978	2.2490358	42190.09721	115.029211	7	21
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	5652	3.0296571	28581.59389	39.922080	9.7718451	1982-1999 –> 2000-2009	5.2793301	2.2496730	42248.41994	66.493701	9	24
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4619	2.4973853	21577.18096	43.192983	10.5525952	2000-2009 –> 2010-2019	5.4139692	2.9165840	49730.81129	91.671386	7	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4619	2.5074458	21614.32075	40.750578	10.7513520	2000-2009 –> 2010-2019	5.4184960	2.9110502	49746.48327	86.630872	8	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4619	2.5361623	21719.51762	132.321834	11.3438121	2000-2009 –> 2010-2019	5.4465587	2.9103964	49849.14103	267.356066	9	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4619	2.4534769	21413.31606	49.145480	11.2067407	2000-2009 –> 2010-2019	5.4681977	3.0147208	49941.04284	98.855997	1	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4619	2.4709766	21478.97325	582.191720	13.3043515	2000-2009 –> 2010-2019	5.4689289	2.9979523	49943.64924	1004.095954	4	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4619	2.4640763	21453.13966	77.782824	13.2307510	2000-2009 –> 2010-2019	5.4696157	3.0055395	49946.38759	139.540342	3	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4619	2.4709837	21478.99980	77.698945	13.3568503	2000-2009 –> 2010-2019	5.4844457	3.0134620	50002.00573	139.357612	5	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	4619	2.5416732	21737.56945	34.616672	12.5592372	2000-2009 –> 2010-2019	5.5805071	3.0388339	50353.35110	73.784926	10	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4619	2.6806280	22231.29409	23.787378	13.0629680	2000-2009 –> 2010-2019	5.6428992	2.9622712	50560.62513	56.121786	13	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4619	2.4601804	21438.52212	61.630967	13.0214235	2000-2009 –> 2010-2019	5.6719440	3.2117636	50681.93892	138.103603	2	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2200	2.3061575	9933.89345	539.641291	8.6243669	1982-1999 –> 2000-2009	3.7410840	1.4349265	14469.22595	1133.691752	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2200	2.3138702	9948.58426	135.424723	8.6965226	1982-1999 –> 2000-2009	3.7740742	1.4602040	14528.27159	237.316521	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2200	2.3194630	9959.20658	133.574966	8.7663173	1982-1999 –> 2000-2009	3.7938657	1.4744027	14563.47306	238.557049	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2200	2.4694317	10232.87694	539.488722	8.6984232	1982-1999 –> 2000-2009	4.0000623	1.5306306	14930.20755	1113.269920	48	52
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2200	2.3723106	10058.33302	316.700441	9.2024525	1982-1999 –> 2000-2009	4.0188629	1.6465523	14943.09320	767.655756	10	19
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2200	2.3477736	10012.58637	547.231525	8.6106968	1982-1999 –> 2000-2009	4.0243856	1.6766120	14943.29897	1511.725400	4	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2200	2.4753933	10245.48645	167.273426	8.4185244	1982-1999 –> 2000-2009	4.0244075	1.5490142	14975.14187	346.748415	49	54
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2200	2.4775140	10247.25433	135.422948	8.6075843	1982-1999 –> 2000-2009	4.0359396	1.5584256	14990.29548	231.658383	50	56
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2200	2.3487828	10012.47740	391.993746	8.7673748	1982-1999 –> 2000-2009	4.0390964	1.6903136	14961.86307	865.753735	5	16
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2200	2.4811720	10255.74606	165.723115	8.3818755	1982-1999 –> 2000-2009	4.0462749	1.5651029	15011.64696	351.527856	51	58
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1782	1.8347419	7234.10217	855.552871	9.0128253	2000-2009 –> 2010-2019	4.1408994	2.3061575	17167.99562	1395.194163	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1782	1.8367205	7237.94350	136.410189	8.9680131	2000-2009 –> 2010-2019	4.1505907	2.3138702	17186.52776	271.834912	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1782	1.8378860	7240.20442	134.544642	8.9473404	2000-2009 –> 2010-2019	4.1573490	2.3194630	17199.41100	268.119608	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1782	1.8689173	7299.87747	420.601175	8.8360743	2000-2009 –> 2010-2019	4.2412280	2.3723106	17358.21049	737.301616	4	13
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	1782	1.8987907	7354.39504	530.973172	8.6033626	2000-2009 –> 2010-2019	4.2475735	2.3487828	17366.87244	922.966918	11	15
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1782	1.8990734	7356.92575	124.702997	8.7709699	2000-2009 –> 2010-2019	4.2540960	2.3550225	17383.07657	208.111111	12	17
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1782	1.9001552	7356.95534	10.628369	8.6977785	2000-2009 –> 2010-2019	4.2561538	2.3559986	17382.92940	24.754363	14	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1782	1.8993216	7357.39137	123.765599	8.7867986	2000-2009 –> 2010-2019	4.2567715	2.3574499	17388.07506	206.755492	13	20
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1782	1.9004767	7357.55822	10.741769	8.7163543	2000-2009 –> 2010-2019	4.2585774	2.3581007	17387.45640	25.097710	15	23
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1782	1.8804859	7321.87065	120.637926	9.0926855	2000-2009 –> 2010-2019	4.2695330	2.3890470	17411.13620	253.934879	5	17
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2628	1.9958604	11104.23227	426.674115	7.3529297	1982-1999 –> 2000-2009	3.5746210	1.5787607	16283.57595	1028.633993	2	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2628	1.9968602	11106.86462	350.154653	7.3287790	1982-1999 –> 2000-2009	3.5855210	1.5886608	16303.42430	598.751626	3	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2628	1.9693862	11034.04741	306.935451	8.0404805	1982-1999 –> 2000-2009	3.5960146	1.6266284	16295.65098	591.258228	1	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2628	2.0066584	11132.59165	345.533169	7.4654486	1982-1999 –> 2000-2009	3.6115182	1.6048599	16357.09074	611.850847	5	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	2628	1.9983204	11108.70668	278.685955	7.1967445	1982-1999 –> 2000-2009	3.6464026	1.6480822	16404.39566	495.596986	4	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2628	2.0604986	11271.75548	354.023093	7.9430136	1982-1999 –> 2000-2009	3.7837360	1.7232374	16692.25208	632.933759	6	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2628	2.0940365	11356.61656	367.505836	8.2979617	1982-1999 –> 2000-2009	3.8318477	1.7378112	16800.30633	842.011229	7	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	2628	2.1072540	11387.68798	207.770970	8.6373261	1982-1999 –> 2000-2009	3.8450779	1.7378239	16829.39794	403.814954	13	27
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2628	2.1841080	11577.96768	472.378946	6.9417381	1982-1999 –> 2000-2009	3.8538553	1.6697473	16911.62393	1243.260365	25	31
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2628	2.0967994	11363.54685	442.408355	8.0587364	1982-1999 –> 2000-2009	3.8553903	1.7585909	16839.97195	1205.280794	8	24
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2208	1.4660121	7969.35494	571.854229	5.9791437	2000-2009 –> 2010-2019	3.4353983	1.9693862	19003.40235	878.789680	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2208	1.4699357	7981.15825	807.658581	7.5690873	2000-2009 –> 2010-2019	3.4657961	1.9958604	19085.39052	1234.332695	4	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2208	1.4693691	7979.45572	589.953118	7.5246303	2000-2009 –> 2010-2019	3.4662293	1.9968602	19086.32034	940.107771	3	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2208	1.4687198	7977.50376	568.128806	7.4481855	2000-2009 –> 2010-2019	3.4753781	2.0066584	19110.09541	913.661975	2	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	2208	1.5183293	8122.20097	497.426239	6.8401044	2000-2009 –> 2010-2019	3.5166497	1.9983204	19230.90765	776.112194	5	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2208	1.5407226	8188.85533	575.811785	7.0875272	2000-2009 –> 2010-2019	3.6012212	2.0604986	19460.61080	929.834879	9	15
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2208	1.5369741	8178.09827	980.186064	6.8782465	2000-2009 –> 2010-2019	3.6337735	2.0967994	19541.64512	1422.594419	6	14
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2208	1.5377568	8180.34648	130.575860	6.8215278	2000-2009 –> 2010-2019	3.6399523	2.1021956	19557.40238	213.106416	7	17
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2208	1.5379348	8180.85772	125.782380	6.8075783	2000-2009 –> 2010-2019	3.6425269	2.1045921	19563.90203	206.969695	8	19
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2208	1.5527046	8223.06523	586.896720	7.2715929	2000-2009 –> 2010-2019	3.6467411	2.0940365	19579.68179	954.402556	13	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2918	1.6631032	11263.61258	372.490688	8.8182407	1982-1999 –> 2000-2009	3.3840560	1.7209527	17947.78900	614.912191	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2918	1.6980639	11385.02141	989.827762	9.0021398	1982-1999 –> 2000-2009	3.4521589	1.7540950	18134.05278	1436.744329	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2918	1.6983084	11385.86185	866.862563	8.9835131	1982-1999 –> 2000-2009	3.4548598	1.7565513	18139.65108	1126.214031	3	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2918	1.7014919	11396.79114	948.390829	9.0006823	1982-1999 –> 2000-2009	3.4659648	1.7644729	18165.87900	1237.456198	5	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	2918	1.6993817	11387.54869	348.275057	8.7993916	1982-1999 –> 2000-2009	3.4717165	1.7723348	18169.75214	546.366042	4	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2918	1.7737860	11639.63155	414.964572	9.4096993	1982-1999 –> 2000-2009	3.6182538	1.8444679	18559.47132	834.389310	6	13
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2918	1.7810319	11663.42326	72.902616	9.3712731	1982-1999 –> 2000-2009	3.6358574	1.8548254	18602.30229	139.303065	7	16
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2918	1.7830351	11669.98357	76.951842	9.3709163	1982-1999 –> 2000-2009	3.6404239	1.8573888	18613.55811	149.782215	8	18
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	2918	1.7916083	11695.97682	378.555356	9.4110689	1982-1999 –> 2000-2009	3.6567560	1.8651477	18651.72473	707.197236	9	21
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2918	1.7974556	11714.99307	11.961412	9.3810088	1982-1999 –> 2000-2009	3.6720071	1.8745514	18687.84000	28.011036	10	23
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3148	1.4377505	11233.58688	542.309656	9.8466889	2000-2009 –> 2010-2019	3.1008537	1.6631032	22497.19946	914.800344	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	3148	1.5262886	11607.83175	516.832051	10.9819324	2000-2009 –> 2010-2019	3.2256703	1.6993817	22995.38044	865.107107	8	10
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3148	1.4716705	11380.39959	530.795543	9.5390125	2000-2009 –> 2010-2019	3.2454564	1.7737860	23020.03114	945.760115	2	5
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3148	1.4718009	11380.95742	132.393699	9.5242804	2000-2009 –> 2010-2019	3.2528328	1.7810319	23044.38068	205.296315	3	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3148	1.4718100	11380.99662	128.412026	9.5226060	2000-2009 –> 2010-2019	3.2548452	1.7830351	23050.98018	205.363868	4	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3148	1.4723761	11383.41773	123.767135	9.2694242	2000-2009 –> 2010-2019	3.3032518	1.8308756	23207.92282	196.188053	5	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3148	1.4726331	11382.51655	17.869018	9.3596381	2000-2009 –> 2010-2019	3.3333596	1.8607265	23299.40538	28.300607	6	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3148	1.5492203	11701.72229	505.073231	10.5047049	2000-2009 –> 2010-2019	3.3408286	1.7916083	23397.69911	883.628587	14	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3148	1.5487276	11699.71960	21.428243	10.5119127	2000-2009 –> 2010-2019	3.3461833	1.7974556	23414.71266	33.389655	13	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3148	1.5482670	11697.84692	22.842843	10.5022140	2000-2009 –> 2010-2019	3.3481423	1.7998753	23420.69085	35.394039	12	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1642	1.5771329	6170.01273	74.972546	7.0503737	1982-1999 –> 2000-2009	3.1240409	1.5469080	10143.00228	162.161959	4	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1642	1.5728107	6161.00039	300.825485	7.0282181	1982-1999 –> 2000-2009	3.1266067	1.5537960	10143.47107	514.095018	1	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1642	1.5771001	6169.94434	104.939283	7.0640396	1982-1999 –> 2000-2009	3.1344740	1.5573739	10157.32338	202.433418	3	6
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1642	1.5769953	6169.72627	95.673054	7.0660555	1982-1999 –> 2000-2009	3.1352743	1.5582790	10158.34505	182.356943	2	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1642	1.5774940	6168.76459	14.377569	7.0426149	1982-1999 –> 2000-2009	3.1589266	1.5814326	10186.85809	34.630082	5	12
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1642	1.5955807	6208.20292	845.659653	7.1183867	1982-1999 –> 2000-2009	3.1749353	1.5793546	10225.49055	1111.189145	6	11
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1642	1.6012339	6217.81776	300.820008	7.0827976	1982-1999 –> 2000-2009	3.1820091	1.5807752	10235.02392	503.033354	7	13
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1642	1.6027622	6222.95057	959.099003	7.0811386	1982-1999 –> 2000-2009	3.1880643	1.5853022	10248.25930	1242.703371	8	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1642	1.6070641	6229.75327	104.836625	7.1240958	1982-1999 –> 2000-2009	3.1922963	1.5852321	10252.96775	201.193431	11	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1642	1.6069551	6229.53048	95.609580	7.1272850	1982-1999 –> 2000-2009	3.1933365	1.5863814	10254.29156	181.332733	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1799	1.3069266	6082.44736	369.162273	6.6873236	2000-2009 –> 2010-2019	2.8797373	1.5728107	12243.44774	669.987758	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1799	1.3069792	6082.59217	173.897126	6.6826474	2000-2009 –> 2010-2019	2.8839746	1.5769953	12252.31844	269.570180	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1799	1.3069632	6082.54793	179.082414	6.6835097	2000-2009 –> 2010-2019	2.8840632	1.5771001	12252.49227	284.021697	2	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1799	1.3071988	6083.19658	127.838727	6.7069823	2000-2009 –> 2010-2019	2.8843317	1.5771329	12253.20931	202.811273	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1799	1.3237771	6126.54071	19.340662	7.3000093	2000-2009 –> 2010-2019	2.9012712	1.5774940	12295.30530	33.718231	6	11
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1799	1.3177498	6112.12096	381.044600	6.4893078	2000-2009 –> 2010-2019	2.9667025	1.6489527	12428.37606	727.106451	5	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1799	1.5126650	6606.45595	332.437951	8.0037680	2000-2009 –> 2010-2019	3.1138990	1.6012339	12824.27372	633.257959	24	30
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1799	1.5133621	6608.11364	127.770689	7.9667013	2000-2009 –> 2010-2019	3.1192447	1.6058826	12835.45149	201.873456	25	32
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1799	1.5138000	6609.15456	178.925785	7.9619124	2000-2009 –> 2010-2019	3.1208641	1.6070641	12838.90783	283.762410	27	36
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1799	1.5146155	6611.09233	173.643458	7.9820553	2000-2009 –> 2010-2019	3.1215706	1.6069551	12840.62281	269.253038	28	36
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4439	1.3234209	15099.12931	123.194035	7.4934412	1982-1999 –> 2000-2009	2.6704109	1.3469900	24088.61711	261.132617	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4439	1.3247890	15108.30191	51.241636	7.5098205	1982-1999 –> 2000-2009	2.6747813	1.3499924	24109.42985	101.703644	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4439	1.3249765	15109.55838	49.875806	7.5144914	1982-1999 –> 2000-2009	2.6754258	1.3504494	24112.45575	93.252096	3	6
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4439	1.3326573	15160.87498	44.589543	7.7091699	1982-1999 –> 2000-2009	2.7042869	1.3716297	24245.13141	90.175721	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4439	1.3338688	15166.94231	6.721723	7.7671697	1982-1999 –> 2000-2009	2.7141508	1.3802820	24282.07376	14.252497	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4439	1.4063754	15638.87418	464.832336	6.4444191	1982-1999 –> 2000-2009	2.8083810	1.4020056	24837.64573	737.115224	7	13
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4439	1.4175554	15709.17077	438.600528	6.5814403	1982-1999 –> 2000-2009	2.8728002	1.4552448	25102.79189	692.484490	8	15
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4439	1.3818891	15482.93831	499.271709	7.0865979	1982-1999 –> 2000-2009	2.9028855	1.5209964	25107.59271	712.255473	6	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4439	1.4554731	15943.52521	497.239846	7.0437991	1982-1999 –> 2000-2009	2.9322989	1.4768258	25414.10708	673.432526	10	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	4439	1.4193718	15718.53940	436.124767	6.6740509	1982-1999 –> 2000-2009	2.9403688	1.5209970	25341.19567	645.823920	9	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3965	1.0458843	11621.94436	321.991366	6.0610244	2000-2009 –> 2010-2019	2.3693052	1.3234209	26721.07367	445.185400	2	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3965	1.0468784	11629.47777	106.074413	6.0472863	2000-2009 –> 2010-2019	2.3716673	1.3247890	26737.77968	157.316049	3	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3965	1.0471286	11631.37293	105.749990	6.0509724	2000-2009 –> 2010-2019	2.3721051	1.3249765	26740.93131	155.625796	4	7
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3965	1.0436524	11605.00323	97.316496	5.9979174	2000-2009 –> 2010-2019	2.3763096	1.3326573	26765.87821	141.906039	1	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3965	1.0649378	11763.10947	19.017029	6.6146386	2000-2009 –> 2010-2019	2.3988066	1.3338688	26930.05179	25.738753	6	11
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3965	1.0540237	11683.41915	308.693485	5.7039133	2000-2009 –> 2010-2019	2.5143378	1.4603141	27656.42397	455.038297	5	11
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate	3965	1.1187273	12153.86291	105.809793	4.3030969	2000-2009 –> 2010-2019	2.6186235	1.4998962	28362.30396	155.289591	7	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + nitrate + silicate	3965	1.1212624	12171.81239	95.783238	4.2667585	2000-2009 –> 2010-2019	2.6662609	1.5449985	28643.28213	140.288982	8	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	3965	1.1837782	12602.06223	310.362447	5.1700862	2000-2009 –> 2010-2019	2.7158075	1.5320293	28998.69311	428.830571	11	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + silicate	3965	1.1620894	12455.42370	76.928865	4.2890606	2000-2009 –> 2010-2019	2.7272008	1.5651114	29041.72247	121.318181	9	24
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	10176	0.6512141	20162.92235	249.925896	3.5761825	1982-1999 –> 2000-2009	1.3073244	0.6561103	32304.67564	343.284380	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	10176	0.6565714	20329.66509	224.624594	3.3176007	1982-1999 –> 2000-2009	1.3744717	0.7179003	33565.66046	305.853360	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	10176	0.8305805	25114.28754	18.632385	4.9085065	1982-1999 –> 2000-2009	1.5975833	0.7670028	39154.65227	30.821848	10	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10176	0.8305468	25113.46108	18.641194	4.9072130	1982-1999 –> 2000-2009	1.5977121	0.7671653	39156.40173	32.525040	9	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	10176	0.8303208	25107.92112	91.669365	4.9001296	1982-1999 –> 2000-2009	1.5991961	0.7688754	39177.93232	175.327369	8	13
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	10176	0.7674202	23504.63844	282.541561	3.0820452	1982-1999 –> 2000-2009	1.6044274	0.8370072	38606.91039	377.520572	5	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	10176	0.8289085	25073.27532	284.469685	5.0701572	1982-1999 –> 2000-2009	1.6544769	0.8255684	40008.24661	398.149010	6	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	10176	0.7291031	22462.22353	280.367851	4.2659292	1982-1999 –> 2000-2009	1.6585948	0.9294917	38838.71738	348.108498	3	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	10176	0.8487471	25554.63068	17.584564	5.2710948	1982-1999 –> 2000-2009	1.6594498	0.8107027	40268.68199	32.792589	13	19
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	10176	0.8299225	25098.15816	314.468247	5.0827766	1982-1999 –> 2000-2009	1.6627377	0.8328151	40139.38434	427.389908	7	17
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	11522	0.6399813	22427.10695	726.035232	4.9652880	2000-2009 –> 2010-2019	1.2911954	0.6512141	42590.02930	975.961128	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	11522	0.6458889	22638.84717	701.680293	4.6727251	2000-2009 –> 2010-2019	1.3024603	0.6565714	42968.51226	926.304887	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	11522	0.6579240	23064.28417	919.867678	4.2543293	2000-2009 –> 2010-2019	1.3870271	0.7291031	45526.50769	1200.235529	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	11522	0.6580982	23068.38325	697.373444	4.2235543	2000-2009 –> 2010-2019	1.3941874	0.7360893	45722.68815	920.127258	4	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	11522	0.7207801	25166.92742	921.250079	3.8081362	2000-2009 –> 2010-2019	1.4882003	0.7674202	48671.56586	1203.791640	12	17
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	11522	0.6746447	23642.61185	188.267217	5.5595488	2000-2009 –> 2010-2019	1.5049654	0.8303208	48750.53297	279.936582	5	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	11522	0.6753612	23667.07450	34.875572	5.5489190	2000-2009 –> 2010-2019	1.5059080	0.8305468	48780.53558	53.516766	6	14
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	11522	0.6754172	23668.98620	34.883873	5.5501421	2000-2009 –> 2010-2019	1.5059978	0.8305805	48783.27374	53.516258	7	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	11522	0.6775847	23742.81718	32.531875	5.6226167	2000-2009 –> 2010-2019	1.5263318	0.8487471	49297.44786	50.116438	8	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	11522	0.6789092	23785.81957	9.478561	5.7149940	2000-2009 –> 2010-2019	1.5329650	0.8540558	49465.34954	15.023562	9	22
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4462	0.9351833	12078.58637	363.309830	3.3580509	1982-1999 –> 2000-2009	1.5203956	0.5852122	17986.78186	777.957064	1	3
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4462	0.9368993	12094.94559	157.193312	3.2692459	1982-1999 –> 2000-2009	1.5220029	0.5851036	18001.90197	302.460949	3	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4462	0.9363472	12089.68572	377.027150	3.3522520	1982-1999 –> 2000-2009	1.5228248	0.5864776	18012.29649	821.232550	2	7
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4462	0.9376419	12100.01631	39.800719	3.3240196	1982-1999 –> 2000-2009	1.5230136	0.5853717	18008.03010	74.545256	4	7
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4462	0.9379378	12104.83229	238.828663	3.2610930	1982-1999 –> 2000-2009	1.5243505	0.5864126	18026.70349	502.053365	5	9
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4462	0.9387541	12110.59570	46.940290	3.3186982	1982-1999 –> 2000-2009	1.5254224	0.5866683	18033.37544	92.257825	7	13
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4462	0.9383708	12108.95068	261.587150	3.3622444	1982-1999 –> 2000-2009	1.5259228	0.5875520	18043.77691	535.744723	6	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4462	0.9397707	12122.25425	256.105419	3.2755793	1982-1999 –> 2000-2009	1.5273035	0.5875328	18056.86171	501.569153	8	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4462	0.9405220	12127.38604	131.597127	3.3301554	1982-1999 –> 2000-2009	1.5283529	0.5878308	18063.37826	263.996992	9	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4462	0.9410149	12134.06104	652.357702	3.3476213	1982-1999 –> 2000-2009	1.5296544	0.5886395	18081.22886	1449.936606	10	21
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4018	1.0563542	11857.15220	258.079713	3.3467223	2000-2009 –> 2010-2019	1.9932535	0.9368993	23952.09779	415.273025	2	3
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4018	1.0557511	11852.56307	358.413830	3.3473593	2000-2009 –> 2010-2019	1.9936890	0.9379378	23957.39536	597.242494	1	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4018	1.0577208	11867.54121	437.944538	3.3487592	2000-2009 –> 2010-2019	1.9974915	0.9397707	23989.79546	694.049958	3	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4018	1.0658428	11929.01274	628.513325	3.3699630	2000-2009 –> 2010-2019	2.0079329	0.9420900	24073.26384	1038.963644	4	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4018	1.1116628	12267.25642	954.371120	3.7234133	2000-2009 –> 2010-2019	2.0500336	0.9383708	24376.20710	1215.958271	8	12
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate	4018	1.0758359	12002.00528	87.888968	3.3365654	2000-2009 –> 2010-2019	2.0522755	0.9764396	24463.84302	131.488971	5	20
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4018	1.1170360	12304.00474	89.768317	3.7297107	2000-2009 –> 2010-2019	2.0546779	0.9376419	24404.02104	129.569036	9	11
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4018	1.1171433	12304.77632	89.349140	3.7269488	2000-2009 –> 2010-2019	2.0558974	0.9387541	24415.37202	136.289431	10	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4018	1.1179375	12310.48748	136.171443	3.7146028	2000-2009 –> 2010-2019	2.0584596	0.9405220	24437.87352	267.768571	11	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4018	1.1194852	12321.60503	160.553756	3.6874762	2000-2009 –> 2010-2019	2.0618901	0.9424049	24466.83840	243.361605	12	21

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	2.424996	281.16510
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	0.775818	71.55296
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	7.555491	2908.65884
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	7.925544	2663.62040
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	5.846652	3209.68422
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.216850	3646.39332
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	4.322011	5231.00546
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	5.182041	5525.58232
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	3.633390	5901.70474
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	4.158298	6596.59982
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	4.935092	10925.61964
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	6.621667	13735.40505
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.105285	20728.41536
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.694398	21207.09435
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.042242	5404.15039
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	2.617642	6390.81822
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	2.435150	6029.59465
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	3.219051	6707.32570
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.938236	12674.54915
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	8.428915	12323.87015
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.894143	3420.39090
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	2.558637	4284.19028
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.029511	4877.76870
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.521790	6088.92602
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.709627	7728.45171
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.898719	9255.99499
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.260303	9358.35902
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.353283	13412.10705
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	11.111350	18780.36463
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	10.780047	29158.85107
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.057527	20708.30500
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	7.479688	22164.06121
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	7.897319	17593.71623
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	7.580006	19944.49130
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	6.988408	25115.15363
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.108941	26755.20642
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	5.752875	29331.22778
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	5.731365	33937.33017
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.509844	36653.41118
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	5.891329	44682.67145
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.113153	41743.56144
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	5.506556	50075.54361
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.949805	14831.65177
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.223277	17323.16909
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.718399	16571.76899
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.552367	19321.93584
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.545205	18367.20204
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.275142	23134.84027
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	3.160996	10200.50329
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.987566	12506.44050
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.789579	24664.10410
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.513042	27659.81403
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.571597	38122.12631
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.443924	47055.64430
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.524924	18031.43351
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.032560	24253.67076

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

if (params_local$MLR_criterion != "rank") {
lm_all_fitted_wide %>%
  ggplot(aes(as.factor(n_predictors),
             !!sym(params_local$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")
}

6.1.2 Best models

if (params_local$MLR_criterion != "rank") {
lm_best_target %>%
  ggplot(aes("",
             !!sym(params_local$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")
}

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)

Past versions of rmse_correlation_across_eras_all_models-1.png

Version	Author	Date
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
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)

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
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]	6	5	5	6	10	8	9
(26,26.5]	7	6	6	7	10	6	8
(26.5,26.75]	8	5	8	6	5	10	6
(26.75,27]	8	4	7	7	3	10	8
(27,27.25]	7	6	7	6	6	10	7
(27.25,27.5]	6	6	6	8	8	8	8
(27.5,27.75]	5	2	5	8	10	6	9
(27.75,27.85]	6	3	5	5	10	8	8
(27.85,27.95]	6	2	5	6	10	7	9
(27.95,28.05]	4	4	5	7	9	5	9
(28.05,28.1]	6	3	5	6	9	6	10
(28.1,28.15]	5	2	7	6	9	7	8
(28.15,28.2]	9	10	4	5	6	3	5
(28.2, Inf]	9	10	3	4	10	3	5
total	92.00	68.00	78.00	87.00	115.00	97.00	109.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	5	4	5	4	10	10	9
(26,26.5]	7	6	6	8	9	6	8
(26.5,26.75]	7	7	7	7	6	7	9
(26.75,27]	8	5	8	6	5	10	6
(27,27.25]	9	8	6	4	5	10	6
(27.25,27.5]	5	7	4	7	9	9	7
(27.5,27.75]	7	5	8	5	10	7	6
(27.75,27.85]	5	4	4	6	10	10	6
(27.85,27.95]	7	4	4	5	10	9	7
(27.95,28.05]	4	3	5	7	10	5	9
(28.05,28.1]	6	1	7	6	7	6	10
(28.1,28.15]	6	1	6	7	7	7	10
(28.15,28.2]	5	10	2	6	4	4	10
(28.2, Inf]	9	10	3	4	10	3	5
total	90.00	75.00	75.00	82.00	112.00	103.00	108.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	4	8	7	10	4	7
(26,26.5]	8	7	7	7	7	6	8
(26.5,26.75]	7	7	7	7	6	7	9
(26.75,27]	7	10	6	7	5	4	8
(27,27.25]	8	10	7	7	3	4	8
(27.25,27.5]	6	10	6	6	5	6	9
(27.5,27.75]	6	6	5	7	10	9	5
(27.75,27.85]	8	8	7	5	6	4	9
(27.85,27.95]	9	9	5	3	9	6	7
(27.95,28.05]	8	5	5	5	10	4	10
(28.05,28.1]	6	3	5	7	5	10	10
(28.1,28.2]	4	6	7	5	9	10	7
(28.2,28.3]	5	7	7	6	8	10	7
(28.3, Inf]	7	10	9	7	3	4	7
total	97.00	102.00	91.00	86.00	96.00	88.00	111.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	9	6	6	6	10	4	7
(26,26.5]	8	5	8	7	5	9	7
(26.5,26.75]	6	5	6	8	5	10	8
(26.75,27]	6	10	6	8	5	5	8
(27,27.25]	7	10	7	7	4	5	8
(27.25,27.5]	6	10	6	6	5	6	9
(27.5,27.75]	5	6	6	5	10	10	7
(27.75,27.85]	7	5	6	7	10	4	8
(27.85,27.95]	8	7	5	5	10	6	8
(27.95,28.05]	6	3	4	6	10	6	10
(28.05,28.1]	5	3	4	7	6	10	10
(28.1,28.2]	5	3	4	4	10	10	9
(28.2,28.3]	4	6	6	6	10	10	6
(28.3, Inf]	7	10	8	7	5	1	7
total	89.00	89.00	82.00	89.00	105.00	96.00	112.00

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)

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
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)

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
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

Session information

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