eMLR - model fitting

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Last updated: 2021-07-27

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.

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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: 1f04ac9

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 1f04ac9. 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:

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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	0d0b48d	Donghe-Zhu	2021-07-27	Build site.
Rmd	376ec48	Donghe-Zhu	2021-07-27	local rebuild
html	d0d97c6	Donghe-Zhu	2021-07-27	Build site.
html	829510d	Donghe-Zhu	2021-07-27	Build site.
html	780627d	Donghe-Zhu	2021-07-27	Build site.
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html	d19760f	Donghe-Zhu	2021-07-27	Build site.
html	cac5680	Donghe-Zhu	2021-07-23	Build site.
html	7bb279a	Donghe-Zhu	2021-07-23	Build site.
html	d52eac4	Donghe-Zhu	2021-07-23	Build site.
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html	419cb72	Donghe-Zhu	2021-07-22	Build site.
html	9447d10	Donghe-Zhu	2021-07-22	Build site.
html	639c9a0	Donghe-Zhu	2021-07-22	Build site.
html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
Rmd	573cc5d	Donghe-Zhu	2021-07-22	local rebuild
html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
Rmd	ec15bf2	Donghe-Zhu	2021-07-20	local rebuild
html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
html	db1e7b7	Donghe-Zhu	2021-07-19	Build site.
Rmd	38a8d51	Donghe-Zhu	2021-07-19	local rebuild
html	ff0575d	Donghe-Zhu	2021-07-19	Build site.
html	5d60eac	Donghe-Zhu	2021-07-19	Build site.
html	57d0420	Donghe-Zhu	2021-07-16	Build site.
html	c1be8f6	Donghe-Zhu	2021-07-16	1
html	26a7c15	Donghe-Zhu	2021-07-16	Build site.
html	046902b	Donghe-Zhu	2021-07-16	Build site.
html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
html	be6fff9	Donghe-Zhu	2021-07-15	Build site.
Rmd	b8bd687	Donghe-Zhu	2021-07-15	local rebuild
html	b473472	Donghe-Zhu	2021-07-15	Build site.
html	363270a	Donghe-Zhu	2021-07-15	Build site.
Rmd	bb00951	Donghe-Zhu	2021-07-15	local rebuild
html	8b75a03	Donghe-Zhu	2021-07-15	Build site.
Rmd	4f7d192	Donghe-Zhu	2021-07-15	local rebuild
html	294f8ca	Donghe-Zhu	2021-07-15	Build site.
html	a01e135	Donghe-Zhu	2021-07-07	Build site.
html	bc83ef2	Donghe-Zhu	2021-07-07	Build site.
Rmd	0a4ac57	Donghe-Zhu	2021-07-07	local rebuild
html	75e7b07	Donghe-Zhu	2021-07-06	Build site.
html	697aa6d	Donghe-Zhu	2021-07-06	Build site.
html	d52e2de	Donghe-Zhu	2021-07-06	Build site.
html	f2bde6b	Donghe-Zhu	2021-07-06	Build site.
html	1133f28	Donghe-Zhu	2021-07-06	Build site.
html	fe3a1cd	Donghe-Zhu	2021-07-06	Build site.
html	d9cdf15	Donghe-Zhu	2021-07-06	Build site.
html	ee4cd2d	Donghe-Zhu	2021-07-06	Build site.
html	93821c1	Donghe-Zhu	2021-07-05	Build site.
html	d44db8e	Donghe-Zhu	2021-07-05	Build site.
html	20b3436	Donghe-Zhu	2021-07-05	Build site.
html	d982ea5	Donghe-Zhu	2021-07-05	Build site.
html	7397e53	Donghe-Zhu	2021-07-05	Build site.
html	f2e4805	Donghe-Zhu	2021-07-05	Build site.
html	e2d011a	Donghe-Zhu	2021-07-05	Build site.
html	85e0349	Donghe-Zhu	2021-07-05	Build site.
html	6ee0146	Donghe-Zhu	2021-07-05	Build site.
html	a482a6b	Donghe-Zhu	2021-07-05	Build site.
html	f59f1b3	Donghe-Zhu	2021-07-05	Build site.
html	116bcab	Donghe-Zhu	2021-07-04	Build site.
html	cb1c8dc	Donghe-Zhu	2021-07-04	Build site.
html	c9bdd83	Donghe-Zhu	2021-07-04	Build site.
html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
html	90a9da5	Donghe-Zhu	2021-06-25	Build site.
html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
html	e7a5266	Donghe-Zhu	2021-06-24	Build site.
html	7c57720	Donghe-Zhu	2021-06-24	Build site.
html	b5b95a9	Donghe-Zhu	2021-06-24	Build site.
html	472aad4	Donghe-Zhu	2021-06-24	Build site.
Rmd	76ce72b	Donghe-Zhu	2021-06-24	local rebuild
html	d517836	Donghe-Zhu	2021-06-24	0
html	9221bfe	Donghe-Zhu	2021-06-24	Build site.
html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
html	256a616	Donghe-Zhu	2021-06-23	Build site.
html	00072e2	Donghe-Zhu	2021-06-23	Build site.
Rmd	71d2509	Donghe-Zhu	2021-06-23	local rebuild
html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
html	72c2f2e	Donghe-Zhu	2021-06-15	Build site.
html	d97dcb6	Donghe-Zhu	2021-06-08	1
html	25dda1d	Donghe-Zhu	2021-06-08	Build site.
html	bd2bcc3	Donghe-Zhu	2021-06-08	Build site.
html	e9b27d7	Donghe-Zhu	2021-06-07	Build site.
html	7ae0d4b	Donghe-Zhu	2021-06-07	Build site.
html	325391f	Donghe-Zhu	2021-06-07	Build site.
html	ed89970	Donghe-Zhu	2021-06-07	Build site.
html	df37958	Donghe-Zhu	2021-06-07	1
html	812bf63	Donghe-Zhu	2021-06-06	Build site.
html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
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.
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---

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_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") &
#            str_detect(lm_coeff_filter, "nitrate")) %>%
#   select(-lm_coeff_filter)
# 
# 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, "phosphate") &
#            str_detect(lm_coeff_filter, "oxygen")) %>%
#   select(-lm_coeff_filter)
# 
# lm_rm <- bind_rows(lm_rm_ph, lm_rm_si) %>%
#   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 + aou + silicate + phosphate_star	2858	7.2698976	19463.723	35.979657	25.903825	1982-1999 –> 2000-2009	13.817844	6.5479469	36640.984	54.250891	1	4
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2858	7.2861540	19476.490	50.330869	24.986826	1982-1999 –> 2000-2009	13.818140	6.5319859	36641.051	73.597500	2	4
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2858	7.3984735	19563.933	7.294502	24.343504	1982-1999 –> 2000-2009	13.927871	6.5293973	36726.431	15.636654	4	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2858	7.2893074	19478.964	13.733980	28.387716	1982-1999 –> 2000-2009	14.045114	6.7558062	36818.854	22.426261	3	13
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2858	7.5414030	19673.306	38.697709	26.197554	1982-1999 –> 2000-2009	14.173285	6.6318817	36916.850	58.276144	6	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2858	7.5901097	19710.105	32.673496	26.219945	1982-1999 –> 2000-2009	14.337167	6.7470569	37043.250	46.977145	7	15
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2858	7.6033759	19720.087	55.255520	25.948935	1982-1999 –> 2000-2009	14.347572	6.7441958	37051.025	81.506669	8	15
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2858	7.6204025	19730.872	35.947524	25.523622	1982-1999 –> 2000-2009	14.351542	6.7311398	37049.727	53.778616	9	15
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2858	7.6316879	19739.331	32.540716	26.440621	1982-1999 –> 2000-2009	14.378747	6.7470588	37070.478	46.228868	11	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2858	7.7277917	19812.862	6.235873	24.567191	1982-1999 –> 2000-2009	14.417761	6.6899696	37101.789	16.333318	12	17
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2376	7.0307385	16024.582	13.480040	21.359984	2000-2009 –> 2010-2019	14.316892	7.2861540	35501.073	63.810908	7	9
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2376	7.0789838	16057.079	10.176741	21.588030	2000-2009 –> 2010-2019	14.348881	7.2698976	35520.803	46.156398	10	11
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2376	6.9654488	15980.248	4.706390	21.140327	2000-2009 –> 2010-2019	14.363922	7.3984735	35544.181	12.000893	4	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2376	7.1956256	16134.741	10.356512	21.854159	2000-2009 –> 2010-2019	14.484933	7.2893074	35613.705	24.090492	16	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2376	7.0523862	16039.191	16.395525	21.473189	2000-2009 –> 2010-2019	14.655762	7.6033759	35759.278	71.651045	8	16
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2376	7.1225044	16086.205	10.916025	21.147762	2000-2009 –> 2010-2019	14.663907	7.5414030	35759.511	49.613734	13	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2376	7.0834059	16060.047	8.129721	21.489326	2000-2009 –> 2010-2019	14.673516	7.5901097	35770.152	40.803217	11	18
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2376	6.9806790	15990.627	5.191031	21.443801	2000-2009 –> 2010-2019	14.708471	7.7277917	35803.488	11.426905	5	17
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2376	7.1561411	16106.594	8.013552	20.774573	2000-2009 –> 2010-2019	14.787829	7.6316879	35845.925	40.554268	14	25
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2376	6.9526776	15971.527	442.404179	30.190237	2000-2009 –> 2010-2019	14.822595	7.8699177	35888.559	729.901704	3	17
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1426	4.3152018	8230.848	26.252801	19.148219	1982-1999 –> 2000-2009	8.674397	4.3591950	17034.175	56.616892	1	5
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1426	4.3252979	8237.513	26.628571	18.591624	1982-1999 –> 2000-2009	8.683751	4.3584526	17040.322	56.754521	2	5
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	1426	4.3980047	8285.055	258.028851	20.462964	1982-1999 –> 2000-2009	8.725817	4.3278128	17066.418	419.201347	5	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1426	4.3862785	8277.441	54.380384	20.719766	1982-1999 –> 2000-2009	8.734358	4.3480794	17073.006	92.141861	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1426	4.3966233	8284.159	46.717929	20.956287	1982-1999 –> 2000-2009	8.758709	4.3620861	17089.502	80.713600	4	9
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1426	4.4063588	8288.468	10.224237	20.655629	1982-1999 –> 2000-2009	8.772349	4.3659902	17094.529	27.648548	6	13
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1426	4.4167445	8295.182	11.541471	20.196483	1982-1999 –> 2000-2009	8.781422	4.3646775	17100.330	25.760560	7	13
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1426	4.4348641	8308.858	24.529856	19.591802	1982-1999 –> 2000-2009	9.052631	4.6177667	17287.361	52.900682	8	17
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1426	4.5088595	8356.051	57.719617	20.454290	1982-1999 –> 2000-2009	9.073305	4.5644455	17299.247	109.457259	9	17
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1426	4.5795086	8398.392	15.240316	19.651967	1982-1999 –> 2000-2009	9.226644	4.6471350	17394.168	31.020329	10	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1427	6.3033388	9318.091	33.667796	21.702040	2000-2009 –> 2010-2019	10.689617	4.3862785	17595.532	88.048179	1	4
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1427	6.3962357	9359.846	57.895904	20.273981	2000-2009 –> 2010-2019	10.711438	4.3152018	17590.694	84.148704	4	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1427	6.3150174	9323.374	33.652988	21.676901	2000-2009 –> 2010-2019	10.711641	4.3966233	17607.534	80.370917	2	6
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1427	6.4972332	9404.559	52.824261	21.845813	2000-2009 –> 2010-2019	10.822531	4.3252979	17642.071	79.452832	8	10
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	1427	6.4280215	9373.994	250.986196	23.290103	2000-2009 –> 2010-2019	10.826026	4.3980047	17659.049	509.015048	5	10
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1427	6.4313631	9373.477	13.997367	23.327879	2000-2009 –> 2010-2019	10.837722	4.4063588	17661.944	24.221604	6	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1427	6.3663411	9346.476	38.316817	21.682920	2000-2009 –> 2010-2019	10.875201	4.5088595	17702.527	96.036434	3	12
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1427	6.5072936	9406.975	11.615004	23.415135	2000-2009 –> 2010-2019	10.924038	4.4167445	17702.156	23.156475	10	17
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1427	6.6329727	9463.570	57.839727	20.812988	2000-2009 –> 2010-2019	11.067837	4.4348641	17772.428	82.369583	20	28
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1427	6.4758120	9395.134	33.565889	20.406979	2000-2009 –> 2010-2019	11.070465	4.5946526	17804.942	79.955504	7	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1042	3.0204845	5274.757	38.059207	16.663338	1982-1999 –> 2000-2009	5.905121	2.8846365	11018.674	90.082458	1	8
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1042	3.2081419	5400.370	46.912016	16.347109	1982-1999 –> 2000-2009	5.935394	2.7272522	11014.573	99.599700	2	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1042	3.3227291	5473.507	303.293356	15.597562	1982-1999 –> 2000-2009	6.121630	2.7989008	11147.665	670.084911	4	8
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1042	3.3519340	5491.744	90.914402	16.172323	1982-1999 –> 2000-2009	6.205347	2.8534127	11210.498	150.141213	5	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1042	3.3220644	5473.090	89.077375	16.125539	1982-1999 –> 2000-2009	6.243180	2.9211159	11246.060	145.717292	3	13
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1042	3.4967208	5579.872	42.530663	16.456014	1982-1999 –> 2000-2009	6.282600	2.7858794	11243.249	96.052908	7	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1042	3.5722786	5624.424	76.396898	16.368692	1982-1999 –> 2000-2009	6.349127	2.7768489	11280.295	135.863408	9	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1042	3.6195218	5649.804	9.742096	14.966210	1982-1999 –> 2000-2009	6.474772	2.8552500	11368.047	14.559375	13	19
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1042	3.5463718	5607.256	13.599354	14.992930	1982-1999 –> 2000-2009	6.491199	2.9448269	11396.917	20.416153	8	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1042	3.6035575	5642.592	70.422106	16.682396	1982-1999 –> 2000-2009	6.493549	2.8899915	11390.797	156.167744	10	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	999	4.3912663	5805.315	59.278816	19.348787	2000-2009 –> 2010-2019	7.411751	3.0204845	11080.073	97.338023	3	4
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	999	4.3202479	5772.738	61.005181	18.802505	2000-2009 –> 2010-2019	7.528390	3.2081419	11173.108	107.917197	1	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	999	4.4660958	5839.075	442.209407	16.128947	2000-2009 –> 2010-2019	7.788825	3.3227291	11312.582	745.502764	4	8
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	999	4.4816821	5846.036	85.605064	15.866318	2000-2009 –> 2010-2019	7.803746	3.3220644	11319.126	174.682439	7	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	999	4.4713056	5841.405	88.695222	15.948228	2000-2009 –> 2010-2019	7.823240	3.3519340	11333.149	179.609624	5	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	999	4.3704527	5795.823	61.561675	17.469910	2000-2009 –> 2010-2019	7.867173	3.4967208	11375.695	104.092338	2	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	999	4.5049776	5854.395	8.445369	17.048761	2000-2009 –> 2010-2019	8.051349	3.5463718	11461.650	22.044723	9	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	999	4.5020969	5855.117	94.745504	16.304710	2000-2009 –> 2010-2019	8.074376	3.5722786	11479.541	171.142402	8	17
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	999	4.4797755	5843.186	5.723392	16.646335	2000-2009 –> 2010-2019	8.099297	3.6195218	11492.990	15.465488	6	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	999	4.7688103	5970.109	65.248537	21.615864	2000-2009 –> 2010-2019	8.179845	3.4110344	11498.277	111.958271	14	20
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1349	2.5544873	6372.620	72.192504	13.204744	1982-1999 –> 2000-2009	4.704225	2.1497377	13267.115	148.640336	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1349	2.6906654	6512.746	87.645489	12.799575	1982-1999 –> 2000-2009	4.893676	2.2030109	13484.351	166.584998	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1349	2.9681250	6777.533	76.200159	15.342437	1982-1999 –> 2000-2009	5.189594	2.2214691	13775.420	137.583741	4	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1349	3.0024530	6808.557	77.018574	15.472643	1982-1999 –> 2000-2009	5.224651	2.2221975	13807.478	139.634521	5	9
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1349	2.8268584	6645.966	77.515156	12.421458	1982-1999 –> 2000-2009	5.295832	2.4689739	13976.601	155.392434	3	11
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1349	3.1934975	6972.989	6.241839	15.024094	1982-1999 –> 2000-2009	5.472117	2.2786199	14048.891	12.847477	8	13
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1349	3.1858810	6968.547	77.241618	15.755751	1982-1999 –> 2000-2009	5.551545	2.3656641	14164.538	140.308842	7	14
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1349	3.2714176	7038.029	5.764799	15.033610	1982-1999 –> 2000-2009	5.588753	2.3173352	14167.002	12.335394	11	17
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1349	3.0459137	6847.331	95.661494	16.116029	1982-1999 –> 2000-2009	5.693110	2.6471965	14397.516	180.864071	6	17
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1349	3.2489383	7021.426	186.092096	16.486688	1982-1999 –> 2000-2009	5.763131	2.5141928	14409.230	449.346616	9	18
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1452	2.8258662	7151.316	100.933952	14.283556	2000-2009 –> 2010-2019	5.380354	2.5544873	13523.936	173.126456	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1452	3.0729494	7394.738	108.214207	12.894624	2000-2009 –> 2010-2019	5.763615	2.6906654	13907.483	195.859696	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1452	3.2389288	7547.502	105.354669	12.197286	2000-2009 –> 2010-2019	6.065787	2.8268584	14193.468	182.869825	4	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1452	3.1486756	7465.433	119.741773	15.660548	2000-2009 –> 2010-2019	6.194589	3.0459137	14312.764	215.403267	3	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1452	3.3993473	7687.884	99.223610	15.817681	2000-2009 –> 2010-2019	6.367472	2.9681250	14465.416	175.423769	6	10
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1452	3.4203049	7705.733	100.286883	15.719091	2000-2009 –> 2010-2019	6.422758	3.0024530	14514.290	177.305457	7	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1452	3.5671049	7827.772	104.362234	15.530052	2000-2009 –> 2010-2019	6.752986	3.1858810	14796.319	181.603852	9	16
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1452	3.5512864	7814.865	259.886146	16.015390	2000-2009 –> 2010-2019	6.800225	3.2489383	14836.291	445.978242	8	17
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	1452	3.5679499	7826.460	14.493315	15.476532	2000-2009 –> 2010-2019	6.826126	3.2581765	14853.546	26.954769	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1452	3.3827101	7673.636	126.230774	17.613575	2000-2009 –> 2010-2019	6.898867	3.5161572	14908.313	242.158739	5	21
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1714	2.8834388	8508.317	72.284496	14.548990	1982-1999 –> 2000-2009	5.337660	2.4542211	16389.993	231.634353	1	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1714	3.2687858	8938.308	57.467352	13.889080	1982-1999 –> 2000-2009	5.662173	2.3933869	16734.745	136.796049	5	7
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1714	3.3151771	8986.617	58.019646	14.135887	1982-1999 –> 2000-2009	5.707274	2.3920971	16781.223	137.468415	8	9
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1714	3.2627443	8931.967	87.478936	14.668990	1982-1999 –> 2000-2009	5.810224	2.5474799	16940.297	235.186058	4	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1714	3.2561868	8925.070	97.628076	14.650962	1982-1999 –> 2000-2009	5.859572	2.6033857	17007.122	284.174953	3	11
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1714	3.4670719	9140.189	62.238304	15.694264	1982-1999 –> 2000-2009	6.021749	2.5546766	17158.100	143.426703	11	17
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1714	3.3052191	8976.305	75.563068	15.394479	1982-1999 –> 2000-2009	6.080198	2.7749786	17275.124	233.879771	6	18
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1714	3.5419999	9213.484	175.338661	14.843388	1982-1999 –> 2000-2009	6.144776	2.6027761	17294.740	594.173261	12	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1714	3.6347335	9302.078	59.463113	14.543138	1982-1999 –> 2000-2009	6.181730	2.5469967	17309.764	140.960611	13	17
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1714	3.6366461	9301.881	21.200879	14.630079	1982-1999 –> 2000-2009	6.240673	2.6040273	17382.770	47.959539	14	23
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1794	3.0544970	9111.566	199.632781	10.575540	2000-2009 –> 2010-2019	5.937936	2.8834388	17619.883	271.917277	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1794	3.2512911	9335.591	269.413618	12.947698	2000-2009 –> 2010-2019	6.507478	3.2561868	18260.661	367.041694	2	5
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1794	3.3433782	9435.802	189.960949	11.013699	2000-2009 –> 2010-2019	6.606122	3.2627443	18367.769	277.439885	4	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1794	3.3520351	9445.080	88.565374	13.968311	2000-2009 –> 2010-2019	6.620821	3.2687858	18383.388	146.032725	5	10
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1794	3.3986249	9494.606	80.625340	12.358988	2000-2009 –> 2010-2019	6.629169	3.2305437	18392.573	139.824946	7	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1794	3.3570382	9450.432	88.595196	13.935861	2000-2009 –> 2010-2019	6.672215	3.3151771	18437.049	146.614842	6	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1794	3.3333316	9425.004	271.294984	14.896086	2000-2009 –> 2010-2019	6.682460	3.3491280	18446.549	400.411195	3	12
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1794	3.4111293	9507.783	199.608060	11.549943	2000-2009 –> 2010-2019	6.716348	3.3052191	18484.088	275.171129	9	15
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1794	3.4378351	9533.764	24.907100	11.778982	2000-2009 –> 2010-2019	6.743442	3.3056065	18508.471	49.492640	10	17
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1794	3.4086428	9505.167	90.339833	15.072121	2000-2009 –> 2010-2019	6.875715	3.4670719	18645.356	152.578136	8	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2221	3.9925282	12466.539	118.744904	18.264205	1982-1999 –> 2000-2009	6.799865	2.8073371	24334.421	351.470957	1	5
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2221	4.1077571	12592.925	125.873595	16.783425	1982-1999 –> 2000-2009	6.884829	2.7770722	24408.389	361.548467	7	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2221	4.0895339	12573.175	36.545674	15.564925	1982-1999 –> 2000-2009	6.939639	2.8501051	24514.175	73.699783	5	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2221	4.1588174	12647.800	37.965229	14.080745	1982-1999 –> 2000-2009	7.001942	2.8431245	24576.941	72.750040	8	13
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2221	4.1768704	12667.041	39.029774	13.877953	1982-1999 –> 2000-2009	7.022604	2.8457336	24600.617	79.248017	10	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2221	4.2438371	12737.693	116.828363	17.537139	1982-1999 –> 2000-2009	7.047859	2.8040219	24599.861	352.668061	13	15
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2221	4.0278609	12505.677	210.533092	19.496232	1982-1999 –> 2000-2009	7.056460	3.0285993	24740.436	726.441664	2	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2221	4.0792907	12562.036	174.696854	18.197495	1982-1999 –> 2000-2009	7.098862	3.0195709	24782.357	533.423774	3	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2221	4.0812851	12562.207	118.744853	20.458809	1982-1999 –> 2000-2009	7.149437	3.0681523	24857.715	318.168782	4	24
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2221	4.1060938	12589.126	36.009604	16.708921	1982-1999 –> 2000-2009	7.153315	3.0472212	24851.530	70.017328	6	23
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2672	3.8986381	14868.000	40.175792	13.291749	2000-2009 –> 2010-2019	7.988172	4.0895339	27441.175	76.721466	3	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2672	3.9886236	14989.944	532.651471	17.045199	2000-2009 –> 2010-2019	8.016485	4.0278609	27495.621	743.184563	6	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2672	3.8728453	14832.527	39.716595	13.829188	2000-2009 –> 2010-2019	8.031663	4.1588174	27480.327	77.681824	1	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2672	3.8747290	14835.126	42.729639	13.908305	2000-2009 –> 2010-2019	8.051599	4.1768704	27502.166	81.759413	2	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2672	3.9914788	14993.768	390.903377	15.923047	2000-2009 –> 2010-2019	8.070770	4.0792907	27555.804	565.600231	7	10
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2672	4.1916120	15255.216	211.245702	11.729636	2000-2009 –> 2010-2019	8.184140	3.9925282	27721.755	329.990606	18	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2672	4.1223620	15164.190	37.939736	12.283162	2000-2009 –> 2010-2019	8.228456	4.1060938	27753.316	73.949340	16	22
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2672	4.0570355	15078.826	37.298780	13.275217	2000-2009 –> 2010-2019	8.232000	4.1749648	27741.839	72.690129	9	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2672	4.0644640	15088.602	38.958779	13.397393	2000-2009 –> 2010-2019	8.262419	4.1979550	27776.009	76.295568	10	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2672	3.9621660	14954.378	41.584717	14.643667	2000-2009 –> 2010-2019	8.338474	4.3763080	27828.607	80.781451	5	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3637	2.8737763	18013.989	22.040127	16.894122	1982-1999 –> 2000-2009	4.720020	1.8462437	33906.754	50.128982	8	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3637	2.9155911	18119.067	209.624903	18.217291	1982-1999 –> 2000-2009	4.755623	1.8400318	33985.496	512.855463	10	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	3637	2.8745484	18013.943	17.125057	16.809260	1982-1999 –> 2000-2009	4.838829	1.9642807	34388.964	31.146194	9	13
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3637	2.6851109	17520.049	347.867806	14.393757	1982-1999 –> 2000-2009	4.873517	2.1884062	34741.353	1284.715880	1	14
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3637	2.9156726	18117.270	209.579102	18.189304	1982-1999 –> 2000-2009	4.876571	1.9608989	34478.827	492.106007	11	14
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3637	2.8483335	17949.303	20.742374	13.246573	1982-1999 –> 2000-2009	4.877330	2.0289961	34579.615	37.865127	4	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3637	2.6886327	17527.583	335.303421	14.681376	1982-1999 –> 2000-2009	4.882822	2.1941888	34767.507	1168.790165	2	16
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3637	2.8581521	17974.334	28.217254	12.509156	1982-1999 –> 2000-2009	4.893435	2.0352834	34628.822	49.156957	6	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3637	2.7630481	17728.176	331.164346	15.341314	1982-1999 –> 2000-2009	4.897322	2.1342737	34753.761	1318.551729	3	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3637	2.9414764	18183.362	20.636038	14.087079	1982-1999 –> 2000-2009	4.978575	2.0370987	34844.817	37.707874	12	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4438	2.4657363	20619.004	474.909513	14.172758	2000-2009 –> 2010-2019	5.150847	2.6851109	38139.053	822.777319	1	5
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4438	2.6954414	21409.603	517.456728	13.574055	2000-2009 –> 2010-2019	5.351187	2.6557458	38849.663	897.682963	3	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4438	2.6909182	21394.695	546.808710	13.575886	2000-2009 –> 2010-2019	5.359156	2.6682377	38868.890	937.026938	2	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4438	2.6965590	21411.282	460.182436	13.570254	2000-2009 –> 2010-2019	5.385192	2.6886327	38938.865	795.485857	4	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4438	2.8068945	21769.229	583.724362	13.840349	2000-2009 –> 2010-2019	5.470731	2.6638362	39231.415	1033.417448	5	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4438	2.9438607	22192.110	21.026850	12.430277	2000-2009 –> 2010-2019	5.817637	2.8737763	40206.099	43.066977	6	17
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4438	2.9715226	22275.124	25.189858	13.196611	2000-2009 –> 2010-2019	5.819856	2.8483335	40224.426	45.932232	8	15
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4438	2.9822106	22306.991	22.995127	13.448007	2000-2009 –> 2010-2019	5.840363	2.8581521	40281.325	51.212382	9	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4438	3.0916454	22626.870	412.396139	14.058405	2000-2009 –> 2010-2019	5.854693	2.7630481	40355.046	743.560485	13	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4438	2.9675731	22263.318	277.061673	13.571633	2000-2009 –> 2010-2019	5.883164	2.9155911	40382.385	486.686576	7	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1381	1.4784162	5012.971	433.558747	12.651953	1982-1999 –> 2000-2009	2.359374	0.8809575	8407.347	1038.742888	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1381	1.5497248	5143.078	32.584587	12.666922	1982-1999 –> 2000-2009	2.490641	0.9409159	8709.703	66.266835	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1381	1.5806095	5195.581	430.691842	11.240587	1982-1999 –> 2000-2009	2.672840	1.0922308	9150.313	937.316227	3	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1381	1.6576780	5329.072	39.280969	12.746824	1982-1999 –> 2000-2009	2.711155	1.0534769	9191.299	78.501612	4	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1381	1.6683292	5346.762	41.740496	12.875717	1982-1999 –> 2000-2009	2.723868	1.0555391	9214.105	72.452226	6	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1381	1.6870202	5377.534	36.150350	13.184382	1982-1999 –> 2000-2009	2.742905	1.0558847	9245.733	74.079444	7	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1381	1.7112487	5414.919	30.421674	13.911589	1982-1999 –> 2000-2009	2.774222	1.0629736	9298.622	60.764635	8	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	1381	1.6595764	5330.234	18.760174	11.159721	1982-1999 –> 2000-2009	2.823188	1.1636117	9450.576	35.384127	5	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1381	1.7773408	5519.585	36.741167	11.118412	1982-1999 –> 2000-2009	3.065812	1.2884713	9906.571	62.137844	9	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1381	1.8015779	5556.995	21.464231	11.165049	1982-1999 –> 2000-2009	3.096619	1.2950410	9957.285	40.033474	10	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1678	1.6157851	6386.237	456.587504	7.358873	2000-2009 –> 2010-2019	3.094201	1.4784162	11399.208	890.146250	1	3
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1678	1.6590634	6474.944	24.559849	7.374274	2000-2009 –> 2010-2019	3.208788	1.5497248	11618.021	57.144437	2	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1678	1.7279177	6611.411	39.197797	7.382962	2000-2009 –> 2010-2019	3.385596	1.6576780	11940.484	78.478766	3	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1678	1.7296918	6614.855	29.388285	7.380847	2000-2009 –> 2010-2019	3.398021	1.6683292	11961.618	71.128781	4	12
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1678	1.7346677	6624.496	33.595560	7.369872	2000-2009 –> 2010-2019	3.421688	1.6870202	12002.030	69.745910	5	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1678	1.7346682	6622.497	27.302408	7.370741	2000-2009 –> 2010-2019	3.445917	1.7112487	12037.416	57.724083	6	16
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1678	1.8937601	6918.980	501.085601	9.397088	2000-2009 –> 2010-2019	3.631465	1.7377048	12378.273	1375.277866	7	18
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1678	2.2705012	7527.880	471.537035	9.163297	2000-2009 –> 2010-2019	3.700091	1.4295903	12448.093	1155.424044	9	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1678	2.3232129	7604.902	608.626663	9.084987	2000-2009 –> 2010-2019	3.831567	1.5083540	12673.244	1456.850433	10	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1678	2.1011826	7265.789	14.042827	10.147937	2000-2009 –> 2010-2019	3.947003	1.8458200	12889.792	46.524487	8	23
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1364	2.7108218	6605.367	742.161815	23.747575	1982-1999 –> 2000-2009	3.457466	0.7466437	9909.540	1643.738476	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1364	2.7501698	6644.680	35.602603	23.825692	1982-1999 –> 2000-2009	3.552475	0.8023050	10158.802	71.132384	3	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1364	2.7166214	6609.197	694.505396	23.882519	1982-1999 –> 2000-2009	3.604542	0.8879210	10417.390	1488.672818	2	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1364	2.7961737	6689.936	79.554244	23.972989	1982-1999 –> 2000-2009	3.687244	0.8910703	10510.467	139.429743	5	11
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1364	2.8160940	6709.301	34.641549	24.109320	1982-1999 –> 2000-2009	3.706837	0.8907434	10528.761	62.797825	7	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	1364	2.7524784	6644.969	21.746463	23.917015	1982-1999 –> 2000-2009	3.723975	0.9714967	10715.831	38.110897	4	12
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1364	2.8426164	6734.874	75.649764	24.321770	1982-1999 –> 2000-2009	3.732781	0.8901643	10552.435	133.139470	9	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1364	2.9905478	6871.270	30.116200	25.264336	1982-1999 –> 2000-2009	3.881690	0.8911418	10690.035	57.362924	18	25
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1364	2.7967921	6688.539	78.053971	24.021918	1982-1999 –> 2000-2009	3.886585	1.0897930	11094.924	129.694499	6	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1364	2.8160958	6707.303	25.778017	24.106848	1982-1999 –> 2000-2009	3.909695	1.0935990	11123.868	44.632697	8	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1584	1.3639305	5492.451	561.787285	9.090709	2000-2009 –> 2010-2019	4.074752	2.7108218	12097.819	1303.949100	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1584	1.4189336	5617.698	24.015910	9.376532	2000-2009 –> 2010-2019	4.169103	2.7501698	12262.378	59.618513	2	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1584	1.4828676	5757.319	78.904944	9.658387	2000-2009 –> 2010-2019	4.279041	2.7961737	12447.255	158.459188	3	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1584	1.4844998	5760.804	29.891162	9.647566	2000-2009 –> 2010-2019	4.300594	2.8160940	12470.105	64.532711	4	11
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1584	1.4851856	5762.267	70.944043	9.650258	2000-2009 –> 2010-2019	4.327802	2.8426164	12497.141	146.593807	5	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1584	1.4870380	5764.216	29.432344	9.585831	2000-2009 –> 2010-2019	4.477586	2.9905478	12635.486	59.548544	6	24
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1584	1.6717537	6137.148	23.624166	10.509721	2000-2009 –> 2010-2019	4.610297	2.9385430	12962.561	54.763151	7	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1584	2.0175805	6730.813	557.567020	8.799183	2000-2009 –> 2010-2019	4.734202	2.7166214	13340.011	1252.072416	9	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	1584	2.1136099	6878.120	23.975213	9.081264	2000-2009 –> 2010-2019	4.866088	2.7524784	13523.089	45.721676	11	15
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1584	1.9654268	6649.845	385.956425	10.866961	2000-2009 –> 2010-2019	4.941463	2.9760366	13509.845	793.785988	8	23
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1448	3.6312910	7857.894	120.279272	20.478504	1982-1999 –> 2000-2009	6.760878	3.1295867	16826.212	209.582026	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1448	3.6650460	7882.689	115.993919	19.519182	1982-1999 –> 2000-2009	6.825036	3.1599903	16882.826	195.323539	2	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1448	3.6987935	7911.233	142.177185	19.802962	1982-1999 –> 2000-2009	6.955065	3.2562719	17018.360	243.715550	6	11
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1448	3.6984987	7911.003	34.117111	19.825439	1982-1999 –> 2000-2009	6.955746	3.2572475	17019.177	60.628805	5	11
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1448	3.6949734	7908.241	29.711415	20.085063	1982-1999 –> 2000-2009	6.959339	3.2643652	17024.050	68.102027	3	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1448	3.7481928	7947.655	85.524531	20.271138	1982-1999 –> 2000-2009	6.961718	3.2135256	17006.557	154.793310	11	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	1448	3.6958598	7906.935	26.513684	19.919604	1982-1999 –> 2000-2009	6.985551	3.2896911	17047.779	46.959592	4	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	1448	3.7760607	7967.107	80.150771	19.389465	1982-1999 –> 2000-2009	6.998280	3.2222196	17033.461	145.625652	12	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1448	3.7031891	7912.673	32.154531	19.442994	1982-1999 –> 2000-2009	6.998892	3.2957024	17059.902	56.924699	8	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1448	3.7033206	7912.776	123.910999	19.437377	1982-1999 –> 2000-2009	7.000823	3.2975022	17061.915	223.061084	9	19
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1755	2.7964395	8603.972	137.967130	17.350175	2000-2009 –> 2010-2019	6.427731	3.6312910	16461.866	258.246401	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1755	2.8734785	8699.361	35.305786	18.510846	2000-2009 –> 2010-2019	6.568452	3.6949734	16607.602	65.017201	2	5
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1755	2.8789069	8705.986	43.213125	18.429530	2000-2009 –> 2010-2019	6.577406	3.6984987	16616.988	77.330236	3	8
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1755	2.8806988	8708.170	165.301793	18.424851	2000-2009 –> 2010-2019	6.579492	3.6987935	16619.403	307.478979	4	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1755	2.9781996	8823.004	29.717421	19.712120	2000-2009 –> 2010-2019	6.680480	3.7022803	16734.966	52.607376	5	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1755	3.0597772	8917.855	137.116378	18.053204	2000-2009 –> 2010-2019	6.724823	3.6650460	16800.544	253.110296	7	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	1755	3.0504440	8907.132	34.176940	18.993487	2000-2009 –> 2010-2019	6.746304	3.6958598	16814.068	60.690624	6	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1755	3.0952020	8958.259	42.804640	18.996111	2000-2009 –> 2010-2019	6.798391	3.7031891	16870.932	74.959172	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1755	3.0959856	8959.147	153.297786	19.047550	2000-2009 –> 2010-2019	6.799306	3.7033206	16871.923	277.208785	9	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + phosphate_star	1755	3.0966921	8957.948	15.287520	19.162481	2000-2009 –> 2010-2019	6.800330	3.7036382	16868.972	25.587317	10	20
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	795	0.7161886	1739.352	58.700971	4.509036	1982-1999 –> 2000-2009	1.111919	0.3957304	2694.880	132.226962	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	795	0.7161894	1737.353	52.388929	4.509663	1982-1999 –> 2000-2009	1.112440	0.3962505	2693.395	125.232007	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	795	0.7583191	1830.237	226.414836	4.729888	1982-1999 –> 2000-2009	1.184507	0.4261877	2927.682	506.674476	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	795	0.7586762	1828.986	199.861941	4.742057	1982-1999 –> 2000-2009	1.190373	0.4316969	2949.014	444.896898	4	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	795	0.7650345	1844.256	44.924444	4.759066	1982-1999 –> 2000-2009	1.192834	0.4277996	2948.926	91.979450	5	9
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	795	0.7655932	1845.416	197.732308	4.647905	1982-1999 –> 2000-2009	1.194541	0.4289481	2955.218	438.398998	6	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	795	0.7659888	1844.238	44.227983	4.781676	1982-1999 –> 2000-2009	1.200468	0.4344790	2976.561	90.969915	7	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	795	0.7732971	1859.336	192.948949	4.691416	1982-1999 –> 2000-2009	1.216758	0.4434610	3030.824	430.251019	8	17
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	795	0.8271375	1966.355	36.626310	5.916859	1982-1999 –> 2000-2009	1.267788	0.4406501	3125.673	75.664613	14	22
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	795	0.7781793	1869.343	58.262635	3.456825	1982-1999 –> 2000-2009	1.307334	0.5291550	3378.980	130.609571	9	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	995	0.6725642	2048.339	105.216472	2.479413	2000-2009 –> 2010-2019	1.388753	0.7161886	3787.690	163.917442	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	995	0.7062859	2143.695	105.108621	2.666565	2000-2009 –> 2010-2019	1.422475	0.7161894	3881.048	157.497550	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	995	0.7067808	2147.089	441.819679	2.630924	2000-2009 –> 2010-2019	1.465100	0.7583191	3977.326	668.234515	3	6
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	995	0.7083497	2151.501	81.724668	2.655402	2000-2009 –> 2010-2019	1.473384	0.7650345	3995.757	126.649112	4	9
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	995	0.7091762	2153.822	363.151798	2.643785	2000-2009 –> 2010-2019	1.474769	0.7655932	3999.238	560.884106	5	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	995	0.7496525	2262.278	336.470832	2.905864	2000-2009 –> 2010-2019	1.508329	0.7586762	4091.264	536.332773	7	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	995	0.7561164	2279.363	81.543323	2.981525	2000-2009 –> 2010-2019	1.522105	0.7659888	4123.601	125.771305	8	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	995	0.7133561	2163.516	53.139128	2.819604	2000-2009 –> 2010-2019	1.540493	0.8271375	4129.871	89.765438	6	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	995	0.7817515	2345.713	333.081118	3.144663	2000-2009 –> 2010-2019	1.555049	0.7732971	4205.049	526.030067	10	18
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	995	0.7719907	2322.710	98.898324	2.813196	2000-2009 –> 2010-2019	1.580441	0.8084502	4254.731	152.153968	9	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1250	0.7323091	2782.465	87.299980	5.236816	1982-1999 –> 2000-2009	1.164049	0.4317403	4166.397	156.811634	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1250	0.7420628	2813.543	86.636267	4.917532	1982-1999 –> 2000-2009	1.196980	0.4549173	4319.196	156.044929	3	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1250	0.7659433	2894.729	251.853408	5.467948	1982-1999 –> 2000-2009	1.223073	0.4571297	4413.861	448.363940	5	8
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1250	0.7674345	2899.591	214.047329	5.463849	1982-1999 –> 2000-2009	1.229670	0.4622353	4445.002	382.641296	6	11
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1250	0.7712264	2911.913	54.137455	5.519038	1982-1999 –> 2000-2009	1.232026	0.4607993	4449.962	92.743224	8	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1250	0.7390306	2803.306	76.499747	5.043639	1982-1999 –> 2000-2009	1.237002	0.4979716	4522.911	137.714750	2	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	1250	0.7446954	2820.396	76.399974	4.848278	1982-1999 –> 2000-2009	1.254535	0.5098397	4593.728	137.607370	4	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1250	0.7680490	2899.592	208.907155	5.391355	1982-1999 –> 2000-2009	1.263890	0.4958407	4609.050	377.385626	7	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1250	0.7796705	2937.136	213.365324	5.087543	1982-1999 –> 2000-2009	1.268110	0.4884398	4611.014	386.405851	11	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1250	0.7834108	2949.101	53.664139	5.148880	1982-1999 –> 2000-2009	1.274965	0.4915541	4638.016	92.185948	14	21
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1472	0.6280792	2822.133	156.892872	2.891879	2000-2009 –> 2010-2019	1.360388	0.7323091	5604.598	244.192852	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1472	0.6286543	2822.827	153.746865	2.905736	2000-2009 –> 2010-2019	1.367685	0.7390306	5626.134	230.246612	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1472	0.6494040	2920.429	332.384384	2.967745	2000-2009 –> 2010-2019	1.416838	0.7674345	5820.020	546.431714	3	9
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1472	0.6513683	2929.321	426.062952	2.988081	2000-2009 –> 2010-2019	1.417312	0.7659433	5824.049	677.916360	4	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1472	0.6516809	2928.734	326.506503	2.946482	2000-2009 –> 2010-2019	1.419730	0.7680490	5828.326	535.413658	6	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1472	0.6513742	2927.348	357.223004	2.989652	2000-2009 –> 2010-2019	1.422771	0.7713966	5837.812	570.684841	5	14
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1472	0.6539021	2940.751	101.780855	3.008111	2000-2009 –> 2010-2019	1.425129	0.7712264	5852.664	155.918310	7	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1472	0.6539365	2938.906	100.089610	3.004675	2000-2009 –> 2010-2019	1.429059	0.7751224	5861.416	147.739040	8	18
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1472	0.6673759	3000.796	150.888828	3.166801	2000-2009 –> 2010-2019	1.450561	0.7831848	5951.176	229.711926	9	22
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1472	0.6772846	3042.185	75.557129	3.171250	2000-2009 –> 2010-2019	1.482193	0.8049087	6058.966	125.542163	10	28
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2159	0.6554771	4315.088	923.186039	3.547735	1982-1999 –> 2000-2009	1.152981	0.4975040	7295.289	1763.522290	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2159	0.6806659	4479.912	155.818436	3.821649	1982-1999 –> 2000-2009	1.182572	0.5019060	7498.389	279.113593	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2159	0.6808122	4480.841	951.744453	3.766794	1982-1999 –> 2000-2009	1.188197	0.5073847	7544.025	1619.709931	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2159	0.6808293	4478.949	110.555081	3.773441	1982-1999 –> 2000-2009	1.197907	0.5170782	7618.064	187.486725	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2159	0.6984595	4589.341	336.037727	3.818900	1982-1999 –> 2000-2009	1.220573	0.5221140	7768.368	549.386004	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2159	0.7082179	4649.251	344.251948	3.838715	1982-1999 –> 2000-2009	1.239672	0.5314540	7901.294	564.790455	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2159	0.7290067	4774.176	530.824394	3.945992	1982-1999 –> 2000-2009	1.276067	0.5470604	8145.404	873.907983	7	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2159	0.7392044	4834.160	110.382515	4.063538	1982-1999 –> 2000-2009	1.298112	0.5589080	8293.618	202.771828	8	17
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2159	0.7699675	5012.222	754.744189	4.621240	1982-1999 –> 2000-2009	1.311572	0.5416047	8344.175	1155.088778	9	16
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2159	0.7833805	5086.794	161.549032	6.305473	1982-1999 –> 2000-2009	1.434718	0.6513375	9178.484	299.749673	10	22
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2865	0.6527941	5700.710	244.661932	3.325047	2000-2009 –> 2010-2019	1.333460	0.6806659	10180.622	400.480368	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2865	0.6590479	5753.342	157.390313	2.965231	2000-2009 –> 2010-2019	1.339877	0.6808293	10232.291	267.945393	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2865	0.6830023	5957.915	312.082038	3.180626	2000-2009 –> 2010-2019	1.381462	0.6984595	10547.255	648.119765	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2865	0.6908765	6023.597	319.435060	3.206227	2000-2009 –> 2010-2019	1.399094	0.7082179	10672.848	663.687007	5	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2865	0.6926713	6038.463	194.187971	3.696252	2000-2009 –> 2010-2019	1.431876	0.7392044	10872.623	304.570486	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2865	0.7073940	6158.979	612.590586	3.303374	2000-2009 –> 2010-2019	1.436401	0.7290067	10933.155	1143.414980	7	12
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2865	0.6843511	5971.219	868.687082	3.627171	2000-2009 –> 2010-2019	1.454319	0.7699675	10983.441	1623.431271	4	11
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2865	0.7894598	6789.910	245.641457	3.048407	2000-2009 –> 2010-2019	1.576755	0.7872948	11898.226	393.459818	8	17
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2865	0.8108210	6942.891	249.843716	3.277420	2000-2009 –> 2010-2019	1.594202	0.7833805	12029.685	411.392748	13	21
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	2865	0.7944870	6822.282	157.306268	2.917600	2000-2009 –> 2010-2019	1.596638	0.8021514	12007.321	260.070609	9	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2645	0.7730614	6158.556	182.210748	4.527328	1982-1999 –> 2000-2009	1.283910	0.5108485	11321.152	390.453314	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2645	0.7833392	6228.422	50.958618	4.467527	1982-1999 –> 2000-2009	1.303639	0.5202995	11517.322	88.870969	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	2645	0.7849151	6237.054	31.514534	4.436857	1982-1999 –> 2000-2009	1.305768	0.5208532	11531.283	62.561578	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2645	0.8209142	6476.273	633.917968	4.349360	1982-1999 –> 2000-2009	1.349610	0.5286962	11875.478	999.267173	4	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2645	0.8220026	6483.283	635.662996	4.351643	1982-1999 –> 2000-2009	1.350725	0.5287222	11882.826	993.532733	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2645	0.8220656	6481.688	89.984366	4.355005	1982-1999 –> 2000-2009	1.351112	0.5290467	11883.459	184.094890	6	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	2645	0.8251271	6501.353	10.697342	4.335309	1982-1999 –> 2000-2009	1.353916	0.5287889	11899.765	30.522899	7	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2645	0.8265027	6510.165	305.688815	4.383857	1982-1999 –> 2000-2009	1.356357	0.5298542	11922.444	512.122074	8	16
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2645	0.8271050	6516.018	651.700818	4.379764	1982-1999 –> 2000-2009	1.358265	0.5311605	11947.262	1016.422492	9	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	2645	0.8586742	6710.170	10.085041	4.418741	1982-1999 –> 2000-2009	1.390687	0.5320128	12148.462	29.663818	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4656	0.6559939	9301.181	713.806088	4.113312	2000-2009 –> 2010-2019	1.429055	0.7730614	15459.737	896.016837	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4656	0.6991503	9894.488	308.625629	4.043197	2000-2009 –> 2010-2019	1.482489	0.7833392	16122.910	359.584248	3	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	4656	0.7045759	9964.473	256.947569	3.907592	2000-2009 –> 2010-2019	1.489491	0.7849151	16201.527	288.462104	4	7
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4656	0.7340897	10348.592	887.914143	4.227225	2000-2009 –> 2010-2019	1.555004	0.8209142	16824.866	1521.832111	7	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4656	0.7338307	10345.307	861.260606	4.231681	2000-2009 –> 2010-2019	1.555833	0.8220026	16828.589	1496.923602	6	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4656	0.7349020	10356.891	713.369565	4.235827	2000-2009 –> 2010-2019	1.556968	0.8220656	16838.580	803.353931	9	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	4656	0.7349007	10356.874	71.045399	4.182416	2000-2009 –> 2010-2019	1.560028	0.8251271	16858.227	81.742742	8	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4656	0.7386147	10403.816	857.419245	4.161764	2000-2009 –> 2010-2019	1.565117	0.8265027	16913.981	1163.108060	10	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	4656	0.7396939	10415.412	16.169105	4.107700	2000-2009 –> 2010-2019	1.598368	0.8586742	17125.582	26.254145	11	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4656	0.6957848	9849.555	740.898442	5.450796	2000-2009 –> 2010-2019	1.639206	0.9434209	17061.636	1607.155486	2	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	12447	10.5547910	94001.755	403.083482	34.935417	1982-1999 –> 2000-2009	18.704196	8.1494051	162756.759	1125.411134	3	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	12447	10.4409922	93731.898	18.007150	37.478660	1982-1999 –> 2000-2009	18.819587	8.3785949	163029.016	34.010395	1	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	12447	10.5293156	93941.598	14.957945	37.419572	1982-1999 –> 2000-2009	18.928167	8.3988514	163285.914	29.664724	2	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12447	10.6132724	94139.306	5.999480	36.299889	1982-1999 –> 2000-2009	18.961422	8.3481493	163365.270	11.553804	4	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	12447	10.6297163	94177.846	4.659874	36.386127	1982-1999 –> 2000-2009	18.996579	8.3668626	163447.575	8.680117	6	9
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	12447	10.6242601	94165.065	4.248729	36.235374	1982-1999 –> 2000-2009	19.015574	8.3913136	163491.831	8.188728	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	12447	10.6440202	94209.322	3.842507	36.364463	1982-1999 –> 2000-2009	19.048030	8.4040099	163563.640	6.560647	7	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	12447	10.6552526	94235.578	4.200591	36.395015	1982-1999 –> 2000-2009	19.063317	8.4080647	163599.325	7.311415	8	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	12447	10.7566240	94471.294	3.690307	36.858657	1982-1999 –> 2000-2009	19.162657	8.4060332	163830.318	6.394899	11	20
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	12447	10.7740564	94511.605	5.082098	37.010720	1982-1999 –> 2000-2009	19.177179	8.4031223	163863.859	8.631800	12	19
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	17455	9.2309271	127138.696	28.743872	57.124635	2000-2009 –> 2010-2019	19.671919	10.4409922	220870.594	46.751022	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	17455	9.2931350	127373.168	23.705957	50.879546	2000-2009 –> 2010-2019	19.822451	10.5293156	221314.766	38.663902	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	17455	9.3683369	127654.529	25.327072	51.426136	2000-2009 –> 2010-2019	20.025716	10.6573791	221897.076	40.786066	3	12
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	17455	9.5348110	128269.428	15.245353	70.635929	2000-2009 –> 2010-2019	20.275718	10.7409068	222706.322	22.684039	4	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	17455	9.7421913	129020.575	7.513834	36.163458	2000-2009 –> 2010-2019	20.366451	10.6242601	223185.640	11.762563	6	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	17455	9.7428930	129021.089	7.508666	35.950649	2000-2009 –> 2010-2019	20.398145	10.6552526	223256.668	11.709257	7	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	17455	9.8264591	129321.240	9.312538	36.731656	2000-2009 –> 2010-2019	20.439732	10.6132724	223460.546	15.312019	8	12
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	17455	9.8987325	129577.063	541.862452	36.696089	2000-2009 –> 2010-2019	20.453523	10.5547910	223578.818	944.945934	12	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	17455	9.8270922	129323.489	7.441071	36.744752	2000-2009 –> 2010-2019	20.456809	10.6297163	223501.335	12.100945	9	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	17455	9.8330464	129342.635	7.198481	36.637276	2000-2009 –> 2010-2019	20.477067	10.6440202	223551.957	11.040988	10	17
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4596	5.9841894	29502.482	42.836860	20.915468	1982-1999 –> 2000-2009	10.417793	4.4336036	49739.766	85.638806	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4596	6.1166638	29703.750	345.079097	19.482620	1982-1999 –> 2000-2009	10.598550	4.4818865	50016.355	745.854852	4	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4596	6.0911409	29665.314	62.140878	21.077237	1982-1999 –> 2000-2009	10.658958	4.5678171	50109.985	104.766039	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4596	6.1071775	29689.483	65.649262	20.994604	1982-1999 –> 2000-2009	10.701606	4.5944289	50174.550	109.457720	3	7
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4596	6.1910940	29814.927	44.633336	19.999906	1982-1999 –> 2000-2009	10.881588	4.6904939	50443.896	97.236962	5	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4596	6.3225996	30008.130	356.360374	21.728429	1982-1999 –> 2000-2009	11.072155	4.7495558	50724.116	745.687386	10	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4596	6.2746083	29938.093	62.208463	20.167173	1982-1999 –> 2000-2009	11.110348	4.8357399	50779.133	105.847977	8	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4596	6.2324131	29876.070	61.892709	19.417827	1982-1999 –> 2000-2009	11.120340	4.8879273	50791.756	104.837563	6	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4596	6.2360191	29879.387	60.633027	19.207765	1982-1999 –> 2000-2009	11.132841	4.8968219	50805.715	103.091342	7	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4596	6.2936323	29965.920	66.487081	20.113817	1982-1999 –> 2000-2009	11.152409	4.8587765	50840.009	114.337813	9	18
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4454	5.0409295	27063.401	60.349342	25.639410	2000-2009 –> 2010-2019	11.025119	5.9841894	56565.883	103.186202	3	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4454	5.0047028	26999.152	52.252257	26.997097	2000-2009 –> 2010-2019	11.095844	6.0911409	56664.466	114.393135	1	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4454	5.0185878	27023.832	51.940818	27.281197	2000-2009 –> 2010-2019	11.125765	6.1071775	56713.315	117.590080	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4454	5.5406481	27905.393	374.576923	23.475920	2000-2009 –> 2010-2019	11.657312	6.1166638	57609.143	719.656021	11	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4454	5.5322806	27891.930	52.388818	25.900249	2000-2009 –> 2010-2019	11.764694	6.2324131	57768.000	114.281526	10	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4454	5.3901208	27660.034	58.578289	26.576628	2000-2009 –> 2010-2019	11.868096	6.4779755	57891.324	103.199808	4	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	4454	5.3901212	27658.035	58.378971	26.577817	2000-2009 –> 2010-2019	11.959358	6.5692369	58015.917	100.662395	5	24
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4454	5.5715261	27954.900	242.262003	24.418450	2000-2009 –> 2010-2019	11.993077	6.4215507	58105.774	447.270995	12	26
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4454	5.4312255	27727.708	26.796320	27.650340	2000-2009 –> 2010-2019	12.033907	6.6026813	58134.269	55.281337	6	26
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4454	5.6012846	28000.353	241.813588	24.263886	2000-2009 –> 2010-2019	12.058848	6.4575633	58200.632	443.382249	13	28
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2973	4.7268985	17686.748	63.818796	13.717360	1982-1999 –> 2000-2009	8.046062	3.3191633	30191.714	125.932099	2	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2973	4.8432703	17831.360	602.198015	13.227416	1982-1999 –> 2000-2009	8.144101	3.3008308	30309.907	1162.149806	7	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2973	4.8341814	17820.191	63.571125	15.734264	1982-1999 –> 2000-2009	8.155679	3.3214982	30328.512	143.559136	6	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2973	4.7233861	17682.328	76.226317	14.598828	1982-1999 –> 2000-2009	8.174559	3.4511732	30373.331	132.503407	1	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2973	4.7615332	17730.156	78.427408	13.826349	1982-1999 –> 2000-2009	8.207795	3.4462618	30414.367	134.855901	3	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2973	4.7616382	17730.287	82.565429	13.822840	1982-1999 –> 2000-2009	8.213686	3.4520476	30422.499	140.784534	4	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2973	4.9161646	17920.184	581.814587	14.802671	1982-1999 –> 2000-2009	8.217270	3.3011054	30399.129	1113.069245	12	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2973	4.7616506	17728.303	75.362641	13.821037	1982-1999 –> 2000-2009	8.243758	3.4821075	30459.871	131.263814	5	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2973	4.8684560	17862.200	357.353588	16.721650	1982-1999 –> 2000-2009	8.262947	3.3944914	30474.211	712.768713	8	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2973	4.8977502	17897.870	77.770619	15.970634	1982-1999 –> 2000-2009	8.375301	3.4775506	30625.193	134.733133	9	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3051	3.9651932	17078.201	77.144587	18.589339	2000-2009 –> 2010-2019	8.692092	4.7268985	34764.949	140.963383	1	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3051	3.9711933	17087.428	65.438614	18.875984	2000-2009 –> 2010-2019	8.732727	4.7615332	34817.584	143.866022	2	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3051	3.9757068	17094.359	66.167615	18.868712	2000-2009 –> 2010-2019	8.737345	4.7616382	34824.646	148.733044	3	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3051	4.1448101	17348.534	66.703057	16.690140	2000-2009 –> 2010-2019	8.868196	4.7233861	35030.862	142.929373	6	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3051	4.1573517	17366.970	765.322472	16.800014	2000-2009 –> 2010-2019	9.000622	4.8432703	35198.330	1367.520487	7	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3051	4.2486898	17497.581	65.366840	15.808058	2000-2009 –> 2010-2019	9.010340	4.7616506	35225.884	140.729481	14	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3051	4.1751117	17392.982	443.931322	16.689932	2000-2009 –> 2010-2019	9.043568	4.8684560	35255.182	801.284910	8	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3051	4.1364248	17336.177	79.239757	17.314305	2000-2009 –> 2010-2019	9.080174	4.9437494	35289.631	142.482388	4	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3051	4.1768225	17393.482	405.718529	16.611750	2000-2009 –> 2010-2019	9.106048	4.9292260	35327.442	757.111812	9	22
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	3051	4.1405234	17340.220	72.234520	17.180022	2000-2009 –> 2010-2019	9.173768	5.0332447	35398.350	135.442534	5	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3754	3.8566532	20801.687	83.824080	13.051280	1982-1999 –> 2000-2009	6.930928	3.0742749	34878.073	162.027100	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3754	3.9354071	20953.458	943.875599	15.450909	1982-1999 –> 2000-2009	7.030790	3.0953832	35067.698	1558.195255	6	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3754	3.9335463	20949.907	54.548292	14.366617	1982-1999 –> 2000-2009	7.164658	3.2311119	35301.550	97.461472	3	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3754	3.9335905	20949.992	59.882047	14.364156	1982-1999 –> 2000-2009	7.173836	3.2402450	35317.249	107.582097	4	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3754	3.9296493	20942.465	49.157735	14.396908	1982-1999 –> 2000-2009	7.220346	3.2906968	35395.195	87.252525	2	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3754	3.9336032	20948.016	47.510727	14.365541	1982-1999 –> 2000-2009	7.227290	3.2936863	35403.769	85.301980	5	15
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3754	4.0579342	21183.651	471.978401	14.082823	1982-1999 –> 2000-2009	7.284258	3.2263235	35527.090	869.123358	7	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3754	4.0579346	21181.652	465.930795	14.083402	1982-1999 –> 2000-2009	7.289450	3.2315158	35531.987	840.227764	8	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3754	4.0869392	21237.125	83.766270	16.182513	1982-1999 –> 2000-2009	7.449160	3.3622206	35808.806	163.246269	9	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3754	4.0949966	21249.913	83.631440	16.125431	1982-1999 –> 2000-2009	7.471284	3.3762873	35842.689	159.570631	10	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3526	3.5782254	19005.329	48.091243	14.922329	2000-2009 –> 2010-2019	7.507875	3.9296493	39947.794	97.248977	4	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3526	3.7225067	19289.484	102.051940	17.149883	2000-2009 –> 2010-2019	7.579160	3.8566532	40091.171	185.876019	6	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3526	3.5301707	18915.368	100.787731	17.698168	2000-2009 –> 2010-2019	7.617110	4.0869392	40152.494	184.554001	1	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3526	3.6207695	19088.657	570.619465	15.024969	2000-2009 –> 2010-2019	7.678704	4.0579342	40272.308	1042.597865	5	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3526	3.7938791	19417.909	56.332049	18.420127	2000-2009 –> 2010-2019	7.727425	3.9335463	40367.817	110.880341	8	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3526	3.7985084	19426.506	62.469752	18.402183	2000-2009 –> 2010-2019	7.732099	3.9335905	40376.498	122.351799	9	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3526	3.5719749	18993.003	23.930424	19.024773	2000-2009 –> 2010-2019	7.774096	4.2021211	40438.799	46.788978	2	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3526	3.5779202	19004.727	31.247423	19.069563	2000-2009 –> 2010-2019	7.781828	4.2039080	40453.715	62.644677	3	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3526	3.8523641	19523.760	42.596895	16.702508	2000-2009 –> 2010-2019	7.785967	3.9336032	40471.776	90.107622	10	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3526	3.7247229	19286.214	16.177318	16.529319	2000-2009 –> 2010-2019	7.930546	4.2058226	40736.620	34.588562	7	19
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4749	3.1496947	24388.186	665.452712	14.926213	1982-1999 –> 2000-2009	6.049448	2.8997534	40431.110	1216.192275	1	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4749	3.2761120	24761.950	90.606571	15.914128	1982-1999 –> 2000-2009	6.106057	2.8299448	40647.599	170.663189	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4749	3.4107522	25144.486	21.744337	16.591074	1982-1999 –> 2000-2009	6.268645	2.8578928	41093.562	46.768820	6	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4749	3.4116955	25147.113	28.289593	16.577044	1982-1999 –> 2000-2009	6.272987	2.8612919	41103.860	58.985757	7	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4749	3.3907449	25088.608	87.973759	14.605800	1982-1999 –> 2000-2009	6.296050	2.9053053	41143.876	157.807315	4	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4749	3.3968449	25105.679	39.021368	15.670301	1982-1999 –> 2000-2009	6.313879	2.9170338	41186.950	72.123464	5	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4749	3.4220047	25173.770	86.929777	15.817561	1982-1999 –> 2000-2009	6.329491	2.9074867	41231.883	156.609135	9	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4749	3.4124210	25147.132	13.899954	16.539686	1982-1999 –> 2000-2009	6.334366	2.9219455	41237.261	28.530169	8	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4749	3.3472294	24963.925	638.135499	14.700376	1982-1999 –> 2000-2009	6.367633	3.0204040	41267.945	1087.214344	3	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4749	3.5030620	25398.127	44.626173	15.528927	1982-1999 –> 2000-2009	6.415051	2.9119885	41468.225	79.643324	10	17
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4568	3.1087311	23339.607	730.317486	62.559720	2000-2009 –> 2010-2019	6.258426	3.1496947	47727.794	1395.770198	1	2
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4568	3.1501592	23460.553	109.441146	52.231391	2000-2009 –> 2010-2019	6.426271	3.2761120	48222.503	200.047718	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4568	3.1607087	23489.097	714.843801	63.845107	2000-2009 –> 2010-2019	6.507938	3.3472294	48453.022	1352.979300	4	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4568	3.1601739	23489.551	113.116164	54.832782	2000-2009 –> 2010-2019	6.550919	3.3907449	48578.159	201.089923	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4568	3.1708182	23518.272	108.266568	52.933296	2000-2009 –> 2010-2019	6.592823	3.4220047	48692.042	195.196344	5	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4568	3.2345461	23702.069	31.358962	46.575036	2000-2009 –> 2010-2019	6.631391	3.3968449	48807.748	70.380330	10	15
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4568	3.2309528	23691.914	17.873741	45.402957	2000-2009 –> 2010-2019	6.641705	3.4107522	48836.400	39.618079	8	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4568	3.2327929	23697.116	21.559894	45.248170	2000-2009 –> 2010-2019	6.644488	3.4116955	48844.229	49.849487	9	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4568	3.2439318	23726.540	12.242934	44.911239	2000-2009 –> 2010-2019	6.656353	3.4124210	48873.673	26.142888	13	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4568	3.2282538	23684.279	39.799553	47.734676	2000-2009 –> 2010-2019	6.731316	3.5030620	49082.405	84.425726	6	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6186	3.1784508	31876.013	81.308716	9.758015	1982-1999 –> 2000-2009	5.801309	2.6228582	54263.524	162.472185	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6186	3.2835723	32278.573	21.156736	14.235152	1982-1999 –> 2000-2009	5.862448	2.5788756	54507.323	45.128651	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6186	3.3739898	32614.647	37.377950	12.501444	1982-1999 –> 2000-2009	6.239235	2.8652454	55831.958	64.461762	3	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6186	3.5626260	33287.708	45.995766	10.310440	1982-1999 –> 2000-2009	6.255517	2.6928906	55922.598	83.268788	6	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6186	3.5713513	33317.971	51.738532	10.684469	1982-1999 –> 2000-2009	6.276998	2.7056468	55997.228	91.442262	9	13
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6186	3.5672868	33303.883	42.159691	10.554682	1982-1999 –> 2000-2009	6.347569	2.7802823	56238.600	78.688211	7	13
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6186	3.5742103	33327.872	40.885000	10.887273	1982-1999 –> 2000-2009	6.351879	2.7776682	56253.758	71.126527	10	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6186	3.5600360	33278.710	152.433289	9.833659	1982-1999 –> 2000-2009	6.373977	2.8139413	56326.399	298.428950	5	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	6186	3.5712830	33315.734	78.970502	9.700959	1982-1999 –> 2000-2009	6.388778	2.8174950	56373.272	154.006810	8	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6186	3.6367742	33542.561	196.009210	12.064535	1982-1999 –> 2000-2009	6.467674	2.8308997	56646.657	366.327711	12	22
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6027	3.3542958	31706.140	75.649182	11.916941	2000-2009 –> 2010-2019	6.532747	3.1784508	63582.153	156.957898	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6027	3.4524373	32053.761	31.809689	14.056942	2000-2009 –> 2010-2019	6.826427	3.3739898	64668.408	69.187640	2	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6027	3.7465118	33039.112	19.945281	23.533370	2000-2009 –> 2010-2019	7.030084	3.2835723	65317.686	41.102017	12	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6027	3.5498921	32389.305	32.411632	17.478691	2000-2009 –> 2010-2019	7.046710	3.4968181	65446.344	71.721351	3	7
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6027	3.5687226	32453.077	32.107967	13.972231	2000-2009 –> 2010-2019	7.131349	3.5626260	65740.785	78.103733	4	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6027	3.5716084	32462.820	33.023080	13.920151	2000-2009 –> 2010-2019	7.142960	3.5713513	65780.792	84.761612	5	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6027	3.5902390	32525.534	179.301849	14.203619	2000-2009 –> 2010-2019	7.227013	3.6367742	66068.095	375.311059	6	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6027	3.6815221	32828.180	133.388729	14.389768	2000-2009 –> 2010-2019	7.241558	3.5600360	66106.890	285.822018	7	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6027	3.7043502	32902.693	31.291258	14.542979	2000-2009 –> 2010-2019	7.271637	3.5672868	66206.576	73.450948	8	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	6027	3.7233984	32962.517	69.163618	11.033687	2000-2009 –> 2010-2019	7.294681	3.5712830	66278.251	148.134120	11	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7264	3.1180994	37149.924	34.022626	10.572436	1982-1999 –> 2000-2009	5.483703	2.3656035	60889.310	63.705684	3	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7264	3.1051687	37089.552	137.786222	8.575207	1982-1999 –> 2000-2009	5.484947	2.3797779	60891.103	282.184987	1	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7264	3.2051755	37550.072	253.099219	12.164233	1982-1999 –> 2000-2009	5.675251	2.4700755	61739.158	532.161902	5	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7264	3.2114675	37578.563	46.979701	12.091448	1982-1999 –> 2000-2009	5.703518	2.4920506	61859.818	87.805566	6	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7264	3.2149813	37594.450	48.245418	12.001125	1982-1999 –> 2000-2009	5.707904	2.4929230	61879.347	91.956313	8	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	7264	3.2628042	37806.963	137.728694	9.434824	1982-1999 –> 2000-2009	5.747388	2.4845834	62054.990	275.381947	11	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	7264	3.1154611	37137.626	48.139364	12.959783	1982-1999 –> 2000-2009	5.748000	2.6325386	61989.574	86.104528	2	22
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7264	3.1406795	37254.751	58.056702	13.738681	1982-1999 –> 2000-2009	5.800834	2.6601543	62215.291	110.356401	4	26
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7264	3.3656467	38259.812	43.198180	9.480344	1982-1999 –> 2000-2009	5.801554	2.4359072	62303.949	84.080461	12	15
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7264	3.3679453	38269.731	44.674457	9.472674	1982-1999 –> 2000-2009	5.807951	2.4400061	62331.363	87.487677	13	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7396	3.4994257	39531.381	118.131822	19.552984	2000-2009 –> 2010-2019	6.604594	3.1051687	76620.933	255.918044	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7396	3.5045676	39553.100	25.525357	14.917208	2000-2009 –> 2010-2019	6.622667	3.1180994	76703.024	59.547983	2	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	7396	3.6859783	40299.635	44.072589	25.118634	2000-2009 –> 2010-2019	6.801439	3.1154611	77437.261	92.211952	11	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7396	3.6318105	40080.644	171.813472	19.157951	2000-2009 –> 2010-2019	6.836986	3.2051755	77630.716	424.912690	5	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7396	3.6398458	40113.335	38.695196	18.911158	2000-2009 –> 2010-2019	6.851313	3.2114675	77691.898	85.674897	7	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7396	3.6419492	40121.880	42.714958	18.813223	2000-2009 –> 2010-2019	6.856931	3.2149813	77716.331	90.960376	8	16
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7396	3.7497959	40553.546	44.076546	25.734759	2000-2009 –> 2010-2019	6.890475	3.1406795	77808.297	102.133248	18	22
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	7396	3.6356010	40094.074	112.796796	20.115865	2000-2009 –> 2010-2019	6.898405	3.2628042	77901.037	250.525489	6	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	7396	3.7517188	40559.129	34.145816	24.943017	2000-2009 –> 2010-2019	6.965637	3.2139184	78146.776	71.908270	19	26
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7396	3.6273780	40062.580	30.208039	14.616022	2000-2009 –> 2010-2019	6.993025	3.3656467	78322.392	73.406219	3	15
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2707	2.3606655	12346.454	136.104955	8.412449	1982-1999 –> 2000-2009	4.374550	2.0138847	20844.946	261.888748	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2707	2.3637325	12353.483	145.541266	8.397009	1982-1999 –> 2000-2009	4.378433	2.0147003	20853.597	289.897425	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2707	2.3700940	12368.034	599.702525	8.328074	1982-1999 –> 2000-2009	4.387710	2.0176164	20873.939	1108.695568	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2707	2.3713703	12370.949	400.822081	8.354542	1982-1999 –> 2000-2009	4.427608	2.0562382	20952.775	779.104256	4	8
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2707	2.3970650	12429.296	539.341991	8.136162	1982-1999 –> 2000-2009	4.526689	2.1296242	21151.532	1016.052921	10	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2707	2.3870308	12404.585	399.856943	7.829875	1982-1999 –> 2000-2009	4.529213	2.1421823	21148.363	771.338768	5	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2707	2.4059722	12449.377	160.624630	8.658467	1982-1999 –> 2000-2009	4.530574	2.1246014	21162.158	323.749276	13	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2707	2.3934604	12421.149	74.279410	8.214081	1982-1999 –> 2000-2009	4.531958	2.1384971	21160.032	138.661778	8	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2707	2.3928251	12419.711	69.753475	8.231513	1982-1999 –> 2000-2009	4.532801	2.1399762	21161.363	125.761003	6	17
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2707	2.3982947	12430.073	476.014224	8.244418	1982-1999 –> 2000-2009	4.539297	2.1410020	21171.644	889.343794	11	23
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2910	2.5503968	13721.191	137.199016	12.597398	2000-2009 –> 2010-2019	4.911062	2.3606655	26067.645	273.303971	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2910	2.5541856	13729.831	158.044351	12.582385	2000-2009 –> 2010-2019	4.917918	2.3637325	26083.314	303.585617	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2910	2.5629018	13749.658	478.409893	12.524394	2000-2009 –> 2010-2019	4.932996	2.3700940	26117.692	1078.112418	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2910	2.6334745	13907.752	68.395517	13.254319	2000-2009 –> 2010-2019	5.026300	2.3928251	26327.463	138.148992	4	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2910	2.6358745	13913.054	78.036721	13.222990	2000-2009 –> 2010-2019	5.029335	2.3934604	26334.202	152.316131	5	13
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2910	2.6457472	13934.812	444.177675	13.116653	2000-2009 –> 2010-2019	5.042812	2.3970650	26364.108	983.519666	6	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2910	2.6784084	14004.219	44.888244	12.875787	2000-2009 –> 2010-2019	5.071657	2.3932487	26422.888	77.471913	8	15
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2910	2.6782909	14003.963	43.679836	12.871525	2000-2009 –> 2010-2019	5.072367	2.3940759	26424.504	75.494562	7	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2910	2.6791604	14005.852	429.572590	12.821289	2000-2009 –> 2010-2019	5.077455	2.3982947	26435.925	905.586814	9	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2910	2.8005405	14265.731	347.199730	12.409112	2000-2009 –> 2010-2019	5.171911	2.3713703	26636.679	748.021811	14	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3092	1.9761254	13000.874	295.630944	6.377490	1982-1999 –> 2000-2009	3.713401	1.7372754	21333.577	531.207357	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3092	1.9652871	12966.863	313.866605	9.104258	1982-1999 –> 2000-2009	3.733961	1.7686740	21375.155	581.508702	1	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3092	1.9727360	12990.258	309.603847	9.130603	1982-1999 –> 2000-2009	3.743662	1.7709259	21403.919	586.536145	2	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3092	1.9796178	13011.793	682.716841	9.049181	1982-1999 –> 2000-2009	3.752689	1.7730716	21430.564	1224.476468	4	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3092	2.0468641	13218.370	317.558423	7.481136	1982-1999 –> 2000-2009	3.812289	1.7654244	21618.901	582.018784	11	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3092	2.0651524	13273.378	416.308630	8.366831	1982-1999 –> 2000-2009	3.844686	1.7795334	21707.500	722.832232	13	19
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3092	2.0652826	13271.768	237.023101	8.412798	1982-1999 –> 2000-2009	3.846857	1.7815741	21708.727	453.605540	14	21
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3092	2.0347450	13181.647	694.255382	8.415309	1982-1999 –> 2000-2009	3.849389	1.8146441	21698.221	1234.940849	7	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3092	2.0385781	13191.286	282.391596	7.120169	1982-1999 –> 2000-2009	3.852509	1.8139312	21704.201	499.206539	8	16
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3092	2.0331161	13176.694	74.139869	8.444524	1982-1999 –> 2000-2009	3.853028	1.8199116	21705.500	146.786206	6	16
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3495	1.9982402	14771.326	402.866532	10.626196	2000-2009 –> 2010-2019	3.963527	1.9652871	27738.189	716.733137	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3495	2.0105078	14814.108	440.400603	10.650184	2000-2009 –> 2010-2019	3.983244	1.9727360	27804.366	750.004450	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3495	2.0160806	14833.456	788.466859	10.544484	2000-2009 –> 2010-2019	3.995698	1.9796178	27845.249	1471.183700	3	7
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3495	2.0293363	14879.265	350.206222	9.630946	2000-2009 –> 2010-2019	4.005462	1.9761254	27880.139	645.837166	4	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3495	2.0327638	14889.061	348.322369	9.813592	2000-2009 –> 2010-2019	4.071342	2.0385781	28080.347	630.713965	5	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3495	2.1139366	15164.758	84.720053	11.209464	2000-2009 –> 2010-2019	4.146863	2.0329262	28340.875	158.744910	6	11
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3495	2.1164609	15173.100	94.040969	11.182558	2000-2009 –> 2010-2019	4.149577	2.0331161	28349.795	168.180838	7	13
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3495	2.1237190	15197.030	721.653928	11.088210	2000-2009 –> 2010-2019	4.158464	2.0347450	28378.678	1415.909310	8	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3495	2.1239620	15195.830	64.214726	10.921914	2000-2009 –> 2010-2019	4.168884	2.0449217	28406.329	97.428049	9	18
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3495	2.1250090	15199.275	61.789136	10.922054	2000-2009 –> 2010-2019	4.170985	2.0459765	28412.963	93.703023	10	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3351	1.6548333	12899.525	630.166041	9.428297	1982-1999 –> 2000-2009	3.218824	1.5639904	22274.279	1098.294918	3	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3351	1.6557688	12903.313	82.512676	9.287078	1982-1999 –> 2000-2009	3.223844	1.5680749	22291.149	166.823316	4	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3351	1.6562246	12905.158	84.793049	9.252776	1982-1999 –> 2000-2009	3.225398	1.5691730	22296.506	170.330514	5	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3351	1.6492676	12876.946	830.343724	9.774396	1982-1999 –> 2000-2009	3.229069	1.5798016	22302.155	1131.286673	1	5
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3351	1.6534565	12893.947	746.670965	9.891908	1982-1999 –> 2000-2009	3.234585	1.5811285	22323.367	1032.626937	2	7
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3351	1.6725819	12969.023	29.857871	9.938037	1982-1999 –> 2000-2009	3.264850	1.5922679	22431.658	56.272826	7	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3351	1.6724395	12968.453	31.555382	9.882614	1982-1999 –> 2000-2009	3.265169	1.5927299	22432.543	60.362878	6	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3351	1.6745797	12977.024	580.545939	10.108379	1982-1999 –> 2000-2009	3.266840	1.5922601	22439.634	963.531403	8	14
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3351	1.6970343	13068.294	82.578760	8.791888	1982-1999 –> 2000-2009	3.309364	1.6123295	22595.733	156.500826	9	18
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3351	1.7545596	13289.710	25.924252	7.069730	1982-1999 –> 2000-2009	3.384657	1.6300976	22870.124	48.220261	12	22
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4725	1.6708491	18273.956	577.564395	6.698280	2000-2009 –> 2010-2019	3.397363	1.7265139	31457.673	1010.401690	1	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4725	1.7640703	18787.014	108.439211	6.822472	2000-2009 –> 2010-2019	3.420295	1.6562246	31692.171	193.232260	3	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4725	1.7649520	18791.736	114.968640	6.812169	2000-2009 –> 2010-2019	3.420721	1.6557688	31695.049	197.481315	4	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4725	1.7682902	18809.593	672.861883	6.750253	2000-2009 –> 2010-2019	3.423123	1.6548333	31709.118	1303.027923	5	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4725	1.7816620	18878.785	42.961234	6.605146	2000-2009 –> 2010-2019	3.454102	1.6724395	31847.238	74.516616	6	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4725	1.7843700	18893.137	40.562816	6.571325	2000-2009 –> 2010-2019	3.456952	1.6725819	31862.161	70.420687	7	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4725	1.7890753	18918.024	670.806346	6.502743	2000-2009 –> 2010-2019	3.463655	1.6745797	31895.047	1251.352285	8	14
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4725	1.7893328	18921.384	119.999117	6.987960	2000-2009 –> 2010-2019	3.486367	1.6970343	31989.678	202.577877	9	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4725	1.7380680	18644.685	555.376713	6.290784	2000-2009 –> 2010-2019	3.503027	1.7649594	31974.003	961.738797	2	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4725	1.7941036	18944.546	38.960853	7.064252	2000-2009 –> 2010-2019	3.548663	1.7545596	32234.257	64.885106	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1958	1.2984815	6593.405	566.241073	5.533043	1982-1999 –> 2000-2009	2.514930	1.2164484	11571.528	1096.485680	1	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1958	1.3077432	6621.238	120.569213	5.575526	1982-1999 –> 2000-2009	2.523516	1.2157723	11597.651	253.974758	2	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1958	1.3090559	6625.166	126.686988	5.569188	1982-1999 –> 2000-2009	2.524842	1.2157860	11601.615	269.996160	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1958	1.3152153	6643.549	84.700303	5.406095	1982-1999 –> 2000-2009	2.537066	1.2218506	11635.293	180.779700	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1958	1.3489745	6740.797	25.802331	5.027124	1982-1999 –> 2000-2009	2.594913	1.2459385	11790.553	46.371984	5	10
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1958	1.3631693	6783.788	941.065159	6.541392	1982-1999 –> 2000-2009	2.657470	1.2943005	11952.606	1571.680705	6	16
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1958	1.3693774	6801.582	837.606120	6.576821	1982-1999 –> 2000-2009	2.661587	1.2922093	11965.429	1393.526019	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1958	1.3688640	6798.114	486.346313	6.567242	1982-1999 –> 2000-2009	2.663482	1.2946184	11965.687	866.690559	7	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1958	1.3729925	6811.907	926.834308	6.606738	1982-1999 –> 2000-2009	2.664807	1.2918148	11974.815	1540.732826	9	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1958	1.3781947	6824.716	28.985887	6.609951	1982-1999 –> 2000-2009	2.670468	1.2922729	11986.715	53.436479	10	19
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2578	1.4406431	9212.449	609.417073	6.481402	2000-2009 –> 2010-2019	2.739125	1.2984815	15805.854	1175.658147	5	6
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2578	1.4387846	9205.793	206.693181	6.613376	2000-2009 –> 2010-2019	2.746528	1.3077432	15827.031	327.262395	2	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2578	1.4387126	9205.535	210.808494	6.621221	2000-2009 –> 2010-2019	2.747768	1.3090559	15830.701	337.495482	1	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2578	1.4397271	9209.170	151.764692	6.474663	2000-2009 –> 2010-2019	2.754942	1.3152153	15852.719	236.464995	3	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2578	1.4402260	9208.956	29.265511	6.533495	2000-2009 –> 2010-2019	2.789200	1.3489745	15949.753	55.067842	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2578	1.5117533	9458.868	571.080117	6.902614	2000-2009 –> 2010-2019	2.880617	1.3688640	16256.981	1057.426430	9	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2578	1.5093444	9450.645	29.666808	7.015184	2000-2009 –> 2010-2019	2.887539	1.3781947	16275.361	58.652695	8	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2578	1.5084101	9447.453	31.570596	7.060149	2000-2009 –> 2010-2019	2.889709	1.3812992	16280.980	62.521125	7	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2578	1.5618076	9626.818	31.132759	7.167071	2000-2009 –> 2010-2019	2.999788	1.4379805	16617.828	61.410145	11	25
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2578	1.4705375	9318.345	622.631813	5.818044	2000-2009 –> 2010-2019	3.041909	1.5713712	16658.739	1239.959065	6	28
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4837	1.0500563	14213.326	40.809903	5.137695	1982-1999 –> 2000-2009	2.145361	1.0953048	25449.432	95.203015	1	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4837	1.0580118	14286.342	374.804297	5.076848	1982-1999 –> 2000-2009	2.146371	1.0883588	25475.167	789.568017	2	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4837	1.0637090	14338.295	52.277146	5.205901	1982-1999 –> 2000-2009	2.152772	1.0890634	25531.930	122.849123	3	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4837	1.0643167	14343.821	58.798985	5.216882	1982-1999 –> 2000-2009	2.153566	1.0892488	25538.721	139.399463	4	7
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4837	1.1021357	14679.607	12.327898	5.536569	1982-1999 –> 2000-2009	2.215631	1.1134957	26036.130	26.318810	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4837	1.3020050	16293.832	494.916049	6.752970	1982-1999 –> 2000-2009	2.540992	1.2389868	28446.016	948.035771	6	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4837	1.3239504	16455.529	619.158918	7.008775	1982-1999 –> 2000-2009	2.573598	1.2496473	28671.386	900.825823	7	14
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4837	1.3301206	16500.509	537.069318	7.097981	1982-1999 –> 2000-2009	2.581324	1.2512039	28725.618	777.408030	8	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4837	1.3459202	16612.743	35.423968	7.026488	1982-1999 –> 2000-2009	2.615951	1.2700313	28946.851	68.067044	11	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4837	1.3461555	16616.435	534.241453	6.105983	1982-1999 –> 2000-2009	2.741701	1.3955459	29652.965	885.456159	12	25
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5445	1.0469895	15966.297	73.364511	7.045769	2000-2009 –> 2010-2019	2.097046	1.0500563	30179.623	114.174414	4	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5445	1.0416084	15910.183	630.504933	6.965559	2000-2009 –> 2010-2019	2.099620	1.0580118	30196.525	1005.309229	1	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5445	1.0435090	15930.036	83.163530	7.087765	2000-2009 –> 2010-2019	2.107218	1.0637090	30268.331	135.440675	2	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5445	1.0436592	15931.603	91.531150	7.092960	2000-2009 –> 2010-2019	2.107976	1.0643167	30275.425	150.330135	3	7
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5445	1.0532691	16029.418	19.068672	6.725755	2000-2009 –> 2010-2019	2.155405	1.1021357	30709.024	31.396571	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5445	1.3140407	18440.375	758.169325	8.328750	2000-2009 –> 2010-2019	2.616046	1.3020050	34734.207	1253.085374	13	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5445	1.2851256	18198.068	742.741504	8.202779	2000-2009 –> 2010-2019	2.628898	1.3437723	34797.360	1221.941285	8	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5445	1.2841195	18189.538	608.221611	8.313944	2000-2009 –> 2010-2019	2.629685	1.3455658	34801.734	1070.566933	7	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5445	1.2839641	18188.221	698.280021	8.336870	2000-2009 –> 2010-2019	2.630120	1.3461555	34804.655	1232.521474	6	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5445	1.2885614	18225.143	33.107155	8.261454	2000-2009 –> 2010-2019	2.637548	1.3489868	34859.904	53.861936	9	24
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	10984	0.7396725	24560.841	270.136172	8.856215	1982-1999 –> 2000-2009	1.636600	0.8969271	45854.424	458.049878	8	9
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	10984	0.7487731	24829.475	294.134716	8.983373	1982-1999 –> 2000-2009	1.659202	0.9104289	46365.735	414.707799	10	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	10984	0.7604010	25168.002	244.204078	9.267448	1982-1999 –> 2000-2009	1.677112	0.9167107	46815.943	340.389158	12	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	10984	0.7288284	24236.390	145.381302	3.940356	1982-1999 –> 2000-2009	1.688833	0.9600050	46633.844	284.077298	3	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	10984	0.7294738	24255.836	14.309839	3.991831	1982-1999 –> 2000-2009	1.689000	0.9595257	46645.179	31.582965	4	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	10984	0.7299738	24270.887	15.017841	3.920866	1982-1999 –> 2000-2009	1.699866	0.9698920	46834.760	32.660980	6	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10984	0.7299566	24270.369	15.030232	3.921903	1982-1999 –> 2000-2009	1.699919	0.9699625	46835.422	35.582846	5	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	10984	0.7309250	24297.494	10.175565	3.934618	1982-1999 –> 2000-2009	1.701180	0.9702553	46865.450	22.897894	7	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	10984	0.6165560	20561.382	271.022220	2.833518	1982-1999 –> 2000-2009	1.862734	1.2461783	47196.346	385.983221	1	18
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	10984	0.8692176	28104.167	9.755338	9.313094	1982-1999 –> 2000-2009	1.893782	1.0245645	51556.721	22.167790	16	25
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	14697	0.6772848	30268.512	232.548994	5.235062	2000-2009 –> 2010-2019	1.293841	0.6165560	50829.895	503.571214	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	14697	0.6959523	31067.715	150.521775	4.744363	2000-2009 –> 2010-2019	1.359192	0.6632391	53232.464	358.135422	3	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	14697	0.6872977	30699.891	157.754802	4.002963	2000-2009 –> 2010-2019	1.432547	0.7452492	55425.736	393.793100	2	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	14697	0.7004532	31255.200	144.567449	4.362714	2000-2009 –> 2010-2019	1.451222	0.7507686	56141.143	352.108432	4	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	14697	0.7252212	32278.615	193.823489	5.143794	2000-2009 –> 2010-2019	1.454049	0.7288284	56515.005	339.204791	7	10
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	14697	0.7248752	32264.590	16.832453	5.158649	2000-2009 –> 2010-2019	1.454849	0.7299738	56535.477	31.850294	5	11
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	14697	0.7248955	32265.413	16.833639	5.157739	2000-2009 –> 2010-2019	1.454852	0.7299566	56535.782	31.863871	6	11
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	14697	0.7387663	32822.550	18.463981	5.129482	2000-2009 –> 2010-2019	1.468240	0.7294738	57078.386	32.773820	8	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	14697	0.7445619	33050.246	12.353124	5.086479	2000-2009 –> 2010-2019	1.475487	0.7309250	57347.740	22.528689	9	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	14697	0.7898682	34788.551	232.607085	8.376274	2000-2009 –> 2010-2019	1.529541	0.7396725	59349.392	502.743256	10	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5168	1.2818335	17246.489	320.114959	4.452828	1982-1999 –> 2000-2009	2.285610	1.0037766	31393.671	755.538359	8	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5168	1.2714394	17162.336	72.809847	4.285113	1982-1999 –> 2000-2009	2.299421	1.0279818	31546.224	150.433061	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5168	1.2788643	17222.520	79.788582	4.262597	1982-1999 –> 2000-2009	2.309569	1.0307044	31632.683	171.077077	5	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5168	1.2783703	17218.526	48.671972	4.226537	1982-1999 –> 2000-2009	2.312042	1.0336713	31657.245	114.254994	4	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5168	1.2812074	17241.440	51.257182	4.226922	1982-1999 –> 2000-2009	2.324496	1.0432889	31772.159	115.692623	6	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5168	1.2834543	17259.550	49.118571	4.261183	1982-1999 –> 2000-2009	2.325503	1.0420489	31778.456	114.557681	13	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5168	1.2842757	17266.163	414.270744	4.458806	1982-1999 –> 2000-2009	2.332132	1.0478560	31840.275	1000.922997	15	23
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	5168	1.2904432	17313.681	23.904210	3.945948	1982-1999 –> 2000-2009	2.334449	1.0440060	31849.227	43.237288	26	33
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5168	1.2814235	17243.183	386.994209	4.403685	1982-1999 –> 2000-2009	2.343400	1.0619770	31950.272	923.677402	7	16
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5168	1.2714314	17162.271	192.836449	4.270514	1982-1999 –> 2000-2009	2.346072	1.0746406	31987.118	340.386962	1	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6286	1.4238108	22295.047	502.256445	7.304933	2000-2009 –> 2010-2019	2.705872	1.2820611	39543.371	855.342428	2	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6286	1.4319674	22366.863	76.210457	7.146367	2000-2009 –> 2010-2019	2.710832	1.2788643	39589.383	155.999039	9	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6286	1.4303417	22352.582	41.746465	7.168979	2000-2009 –> 2010-2019	2.711549	1.2812074	39594.022	93.003647	5	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6286	1.4315306	22363.027	489.632759	7.159557	2000-2009 –> 2010-2019	2.712954	1.2814235	39606.210	876.626968	6	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6286	1.4315726	22361.396	27.719194	7.175290	2000-2009 –> 2010-2019	2.713641	1.2820685	39607.781	76.545722	7	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6286	1.4227076	22285.302	479.526368	7.236019	2000-2009 –> 2010-2019	2.714747	1.2920390	39613.758	807.981117	1	28
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6286	1.4448609	22479.555	78.970132	6.819299	2000-2009 –> 2010-2019	2.716300	1.2714394	39641.891	151.779979	30	32
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6286	1.4404055	22440.728	41.363299	6.852639	2000-2009 –> 2010-2019	2.718776	1.2783703	39659.255	90.035271	23	27
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6286	1.4415785	22450.962	420.842127	6.816022	2000-2009 –> 2010-2019	2.723412	1.2818335	39697.452	740.957086	24	32
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6286	1.4416032	22449.177	30.906574	6.824247	2000-2009 –> 2010-2019	2.723587	1.2819834	39694.876	77.040121	25	34

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	14.161504	36906.044
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	14.582671	35700.667
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	8.848338	17147.906
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	10.853651	17673.888
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.250192	11231.677
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.862799	11352.619
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	5.337663	13949.814
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	6.347278	14431.183
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	5.904603	17027.388
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	6.599170	18354.579
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.015481	24626.644
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.140418	27629.662
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.859404	34507.592
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	5.593283	39547.717
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.746062	9253.155
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	3.506434	12134.818
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	3.714329	10570.205
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	4.478093	12774.569
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	6.940133	16998.024
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.670272	16726.726
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.197896	2968.115
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	1.493090	4044.558
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.234430	4476.914
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	1.419166	5826.516
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.250237	7958.711
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.454408	11035.747
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.340399	11792.945
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.543156	16623.563
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	18.987671	163423.351
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	20.238753	222732.372
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	10.884659	50442.528
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	11.658202	57566.872
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	8.204116	30399.873
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	8.944488	35113.286
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	7.224200	35407.411
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.711481	40330.899
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	6.275361	41081.227
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	6.564163	48611.797
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.236538	55836.132
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.074517	65519.598
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.696105	61815.390
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.832147	77597.867
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	4.475883	21048.035
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	5.025381	26321.442
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.800247	21568.627
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	4.081405	28123.693
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.262260	22425.715
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.457427	31835.639
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.601308	11804.189
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.847713	16135.595
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.386727	27247.422
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.370956	32562.679
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.720823	47160.383
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.437382	55899.102
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.321270	31740.733
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.715167	39624.800

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
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
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
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
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]	4	6	5	7	10	6	10
(26,26.5]	7	10	7	7	3	3	10
(26.5,26.75]	7	3	7	8	4	10	9
(26.75,27]	7	4	7	7	5	10	8
(27,27.25]	7	5	7	6	7	10	7
(27.25,27.5]	4	8	5	9	6	6	10
(27.5,27.75]	8	4	7	6	10	6	6
(27.75,27.85]	6	1	6	8	10	6	8
(27.85,27.95]	6	1	6	8	10	6	8
(27.95,28.05]	4	4	4	8	8	5	10
(28.05,28.1]	5	2	5	7	9	6	10
(28.1,28.15]	6	2	6	6	6	7	10
(28.15,28.2]	9	9	4	5	4	5	8
(28.2, Inf]	9	10	3	4	10	3	5
total	89.00	69.00	79.00	96.00	102.00	89.00	119.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	5	6	6	7	10	5	10
(26,26.5]	8	9	7	6	4	4	10
(26.5,26.75]	7	4	7	7	4	10	9
(26.75,27]	8	5	7	6	7	10	6
(27,27.25]	7	8	4	6	6	10	8
(27.25,27.5]	4	5	5	9	9	5	10
(27.5,27.75]	8	6	8	6	10	5	6
(27.75,27.85]	6	4	7	6	10	8	7
(27.85,27.95]	7	3	5	7	10	8	7
(27.95,28.05]	4	2	4	8	10	5	10
(28.05,28.1]	5	3	4	7	10	6	10
(28.1,28.15]	5	3	4	7	10	6	10
(28.15,28.2]	8	9	3	4	5	5	9
(28.2, Inf]	10	10	2	4	9	4	5
total	92.00	77.00	73.00	90.00	114.00	91.00	117.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	4	4	4	10	10	4	10
(26,26.5]	6	5	6	8	10	6	8
(26.5,26.75]	7	5	6	8	9	7	7
(26.75,27]	7	10	7	7	6	3	7
(27,27.25]	7	10	6	7	3	6	8
(27.25,27.5]	6	6	7	6	7	10	7
(27.5,27.75]	6	6	6	7	10	8	6
(27.75,27.85]	8	6	7	5	10	5	7
(27.85,27.95]	9	8	4	4	10	6	7
(27.95,28.05]	5	3	5	8	10	5	10
(28.05,28.1]	6	4	5	7	10	5	10
(28.1,28.2]	4	6	5	8	6	9	10
(28.2,28.3]	5	6	5	7	6	10	9
(28.3, Inf]	8	5	5	6	10	8	7
total	88.00	84.00	78.00	98.00	117.00	92.00	113.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	5	6	4	8	10	5	10
(26,26.5]	8	4	7	7	5	10	7
(26.5,26.75]	7	3	7	7	6	10	7
(26.75,27]	5	10	5	8	5	6	9
(27,27.25]	7	10	6	7	3	6	8
(27.25,27.5]	6	7	7	6	7	10	6
(27.5,27.75]	5	5	7	7	10	9	5
(27.75,27.85]	7	4	7	6	10	4	9
(27.85,27.95]	7	5	5	6	10	4	10
(27.95,28.05]	6	3	4	6	10	6	10
(28.05,28.1]	5	3	4	7	10	6	10
(28.1,28.2]	5	5	6	7	9	6	10
(28.2,28.3]	4	6	7	5	9	10	7
(28.3, Inf]	7	6	4	7	10	10	4
total	84.00	77.00	80.00	94.00	114.00	102.00	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
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
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
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
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  ggforce_0.3.3    metR_0.9.0      
[13] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[17] stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4      readr_1.4.0     
[21] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[25] 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               MASS_7.3-53             
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              tweenr_1.0.2            
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[76] openxlsx_4.2.3           xfun_0.20                RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1