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

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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

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Repository version: 2c713c2

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 2c713c2. 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
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html	2777f33	Donghe-Zhu	2021-07-27	Build site.
html	d19760f	Donghe-Zhu	2021-07-27	Build site.
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html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
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html	9447d10	Donghe-Zhu	2021-07-22	Build site.
html	639c9a0	Donghe-Zhu	2021-07-22	Build site.
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html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
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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.
html	8b97165	Donghe-Zhu	2021-01-25	Build site.
html	c569946	Donghe-Zhu	2021-01-24	Build site.
html	a2f0d56	Donghe-Zhu	2021-01-23	Build site.
html	28509fc	Donghe-Zhu	2021-01-23	Build site.
html	4c28e4a	Donghe-Zhu	2021-01-22	Build site.
html	24cc264	jens-daniel-mueller	2021-01-22	cleaned /docs before creating copies
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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, oxygen, aou, 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_o2) %>%
#   select(-lm_coeff_filter) %>%
#   unique()

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

# 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:

• 49

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]	4	cstar_tref ~ sal + oxygen + aou + phosphate	174	7.1700107	1191.31830	130.703983	18.0893723	1982-1999 –> 2000-2009	14.4738023	7.3037916	2838.83772	208.976754	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	174	7.2404417	1194.72002	27.262007	19.2440260	1982-1999 –> 2000-2009	14.5562728	7.3158311	2843.03002	45.451799	3	5
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + oxygen + phosphate_star	174	7.2541426	1193.37791	8.454267	19.8086282	1982-1999 –> 2000-2009	14.5754711	7.3213285	2840.04847	19.897005	4	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	174	7.2729618	1196.27954	22.099678	18.9837970	1982-1999 –> 2000-2009	14.6019182	7.3289565	2845.44995	39.886446	5	9
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	174	7.3018975	1197.66133	43.706939	18.3892997	1982-1999 –> 2000-2009	14.6509662	7.3490687	2848.14715	69.739715	6	11
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + phosphate_star	174	7.3364391	1197.30366	8.565178	19.7944895	1982-1999 –> 2000-2009	14.6962117	7.3597726	2846.48809	20.239707	13	19
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + phosphate	174	7.3142782	1196.25088	103.839958	18.5695716	1982-1999 –> 2000-2009	14.7111372	7.3968590	2847.84799	141.940850	8	17
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + oxygen + phosphate_star	174	7.3301432	1197.00489	25.185573	18.2339283	1982-1999 –> 2000-2009	14.7196967	7.3895535	2848.12769	32.592419	10	17
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + oxygen + aou	174	7.1840347	1189.99829	49.875687	18.0175395	1982-1999 –> 2000-2009	14.7358718	7.5518371	2851.54840	126.461871	2	19
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	174	7.3468456	1197.79694	21.111726	18.2081249	1982-1999 –> 2000-2009	14.7419520	7.3951064	2849.28030	28.686665	14	22
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate	267	6.8552491	1797.67100	81.096819	16.7953189	2000-2009 –> 2010-2019	14.0252598	7.1700107	2988.98930	211.800802	1	2
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + oxygen + aou	267	6.8692508	1796.76057	53.516241	17.2330066	2000-2009 –> 2010-2019	14.0532855	7.1840347	2986.75887	103.391927	2	4
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	267	6.8801168	1799.60461	22.773196	17.0039406	2000-2009 –> 2010-2019	14.1205586	7.2404417	2994.32463	65.004002	4	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	267	6.8827764	1799.81098	19.311583	17.0962941	2000-2009 –> 2010-2019	14.1557381	7.2729618	2996.09053	41.411261	5	10
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + oxygen + phosphate_star	267	6.9113717	1800.02495	7.684893	16.8781325	2000-2009 –> 2010-2019	14.1655143	7.2541426	2993.40287	16.139160	19	23
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + phosphate_star	267	6.8732259	1797.06950	41.451892	17.3055223	2000-2009 –> 2010-2019	14.1875041	7.3142782	2993.32038	145.291851	3	11
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	267	6.8876900	1800.19207	15.937730	17.2475521	2000-2009 –> 2010-2019	14.1895876	7.3018975	2997.85340	59.644669	9	15
Atlantic	(-Inf,26]	2	cstar_tref ~ oxygen + aou	267	6.8870188	1796.14003	3.585514	17.6302971	2000-2009 –> 2010-2019	14.2107539	7.3237351	2990.84056	8.315925	8	17
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + oxygen + phosphate_star	267	6.8850908	1797.99052	13.588382	17.2256336	2000-2009 –> 2010-2019	14.2152340	7.3301432	2994.99541	38.773955	6	16
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + temp + oxygen	267	6.9052401	1799.55100	11.791426	17.7922058	2000-2009 –> 2010-2019	14.2156961	7.3104560	2995.61997	20.416566	12	19
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	597	5.2509838	3686.36065	142.699605	21.4595390	1982-1999 –> 2000-2009	11.2527461	6.0017624	8174.48306	290.752518	1	3
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	597	5.2832247	3693.66936	47.769731	21.9684529	1982-1999 –> 2000-2009	11.3079296	6.0247049	8187.11036	87.705415	2	5
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	597	5.2971703	3696.81690	54.382400	22.1531568	1982-1999 –> 2000-2009	11.3319345	6.0347642	8192.58348	97.325356	3	8
Atlantic	(26,26.5]	3	cstar_tref ~ oxygen + aou + phosphate	597	5.3690412	3710.90792	285.228047	22.6258191	1982-1999 –> 2000-2009	11.3541048	5.9850636	8193.14639	683.539057	5	6
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	597	5.4896232	3737.42699	105.141123	24.4080432	1982-1999 –> 2000-2009	11.5162592	6.0266361	8229.31475	253.179649	6	10
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	597	5.3487278	3706.38194	66.423465	20.1286252	1982-1999 –> 2000-2009	11.5217773	6.1730496	8231.73125	181.428781	4	12
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	597	5.5819769	3757.34694	21.494941	25.3863769	1982-1999 –> 2000-2009	11.6395793	6.0576025	8256.37909	61.344214	9	15
Atlantic	(26,26.5]	3	cstar_tref ~ temp + oxygen + phosphate	597	5.6188215	3765.20221	112.165164	25.7239260	1982-1999 –> 2000-2009	11.6892150	6.0703934	8267.17478	260.822635	10	17
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	597	5.5161030	3743.17253	8.239012	21.2889058	1982-1999 –> 2000-2009	11.8339638	6.3178608	8300.84550	27.946306	7	16
Atlantic	(26,26.5]	3	cstar_tref ~ sal + oxygen + phosphate	597	5.5796812	3756.85580	36.168355	21.5983253	1982-1999 –> 2000-2009	11.9431417	6.3634604	8324.55393	95.835223	8	18
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	806	6.5700108	5333.94387	189.439868	20.5356632	2000-2009 –> 2010-2019	11.8209946	5.2509838	9020.30451	332.139473	2	3
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	806	6.4933263	5313.01809	799.442477	20.6354456	2000-2009 –> 2010-2019	11.8623675	5.3690412	9023.92601	1214.044493	1	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	806	6.6382632	5350.60369	50.179293	21.1378521	2000-2009 –> 2010-2019	11.9214879	5.2832247	9044.27306	97.949025	4	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	806	6.6601021	5355.89823	50.286087	21.4523847	2000-2009 –> 2010-2019	11.9572724	5.2971703	9052.71513	104.668487	6	9
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	806	6.5705598	5332.07856	189.064053	20.6909073	2000-2009 –> 2010-2019	12.0601830	5.4896232	9069.50554	294.205175	3	9
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	806	6.6453012	5350.31186	50.163354	21.1722615	2000-2009 –> 2010-2019	12.2272781	5.5819769	9107.65880	71.658295	5	14
Atlantic	(26,26.5]	3	cstar_tref ~ temp + oxygen + phosphate_star	806	6.6698777	5356.26257	50.048214	21.4816786	2000-2009 –> 2010-2019	12.2886992	5.6188215	9121.46479	71.868978	7	17
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	806	7.1420364	5466.51761	126.883555	24.8844284	2000-2009 –> 2010-2019	12.4907642	5.3487278	9172.89955	193.307020	8	12
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	806	7.4019376	5524.13671	19.113310	24.2924933	2000-2009 –> 2010-2019	12.9180406	5.5161030	9267.30923	27.352322	13	20
Atlantic	(26,26.5]	3	cstar_tref ~ sal + oxygen + phosphate_star	806	7.4205235	5528.17928	15.211355	23.6093841	2000-2009 –> 2010-2019	13.0002047	5.5796812	9285.03508	22.247596	14	22
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	640	3.7903874	3533.80065	50.696668	12.4961634	1982-1999 –> 2000-2009	8.0296910	4.2393036	7669.00671	96.258466	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	640	3.7968813	3535.99176	46.071412	12.5172652	1982-1999 –> 2000-2009	8.0405771	4.2436957	7672.68897	88.100880	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	640	3.8308690	3547.39867	276.839488	12.6368006	1982-1999 –> 2000-2009	8.0925818	4.2617128	7690.19660	455.435715	3	6
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	640	3.8334421	3546.25811	201.550846	12.1992250	1982-1999 –> 2000-2009	8.1117413	4.2782993	7692.64961	321.013335	4	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	640	3.8785051	3561.21707	18.609572	15.2772303	1982-1999 –> 2000-2009	8.2374542	4.3589490	7734.50117	30.100034	5	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + phosphate	640	3.9073800	3570.71117	128.132965	15.8364179	1982-1999 –> 2000-2009	8.2959467	4.3885667	7753.74652	208.256030	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + phosphate_star	640	4.6121342	3782.96543	828.788417	14.3243511	1982-1999 –> 2000-2009	9.0819470	4.4698128	7992.41591	1427.155898	7	17
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate	640	4.6947324	3805.68596	264.211274	14.4083462	1982-1999 –> 2000-2009	9.1576925	4.4629601	8012.92708	427.396199	8	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate_star	640	4.7613123	3823.71119	34.280974	14.4620469	1982-1999 –> 2000-2009	9.2275746	4.4662623	8032.01738	55.950383	10	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + oxygen + phosphate	640	4.7792611	3828.52735	258.264672	14.4822398	1982-1999 –> 2000-2009	9.2473892	4.4681281	8037.43497	422.629852	11	20
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	678	4.5259257	3983.39947	286.960584	19.3727884	2000-2009 –> 2010-2019	8.3567948	3.8308690	7530.79814	563.800072	1	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	678	4.5647070	3994.96913	66.325583	20.1765796	2000-2009 –> 2010-2019	8.3615884	3.7968813	7530.96088	112.396995	3	5
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	678	4.5285037	3982.17162	191.177043	19.2959165	2000-2009 –> 2010-2019	8.3619457	3.8334421	7528.42973	392.727889	2	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	678	4.5721657	3997.18300	281.250163	20.3189888	2000-2009 –> 2010-2019	8.3625531	3.7903874	7530.98365	546.701066	4	5
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	678	4.6100216	4006.36397	22.085721	20.5618214	2000-2009 –> 2010-2019	8.4885267	3.8785051	7567.58104	40.695293	5	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + phosphate	678	4.6304298	4012.35365	115.392530	20.7386926	2000-2009 –> 2010-2019	8.5378098	3.9073800	7583.06482	243.525495	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + phosphate_star	678	5.0520212	4130.51374	898.375510	19.9535475	2000-2009 –> 2010-2019	9.6641555	4.6121342	7913.47916	1727.163926	9	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate_star	678	4.9334544	4098.31013	35.187186	21.6387359	2000-2009 –> 2010-2019	9.6728059	4.7393515	7916.10384	59.552192	7	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + phosphate	678	5.1903403	4167.14044	273.237892	20.1398254	2000-2009 –> 2010-2019	9.8850727	4.6947324	7972.82640	537.449167	10	18
Atlantic	(26.5,26.75]	2	cstar_tref ~ sal + phosphate_star	678	5.0104962	4117.32205	3.499871	21.5640534	2000-2009 –> 2010-2019	10.0090615	4.9985653	8001.27657	6.688586	8	20
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	971	3.2686503	5067.63903	127.562410	15.4996539	1982-1999 –> 2000-2009	6.6919080	3.4232577	10823.82262	286.157707	1	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	971	3.3060920	5089.75778	30.009842	15.5607466	1982-1999 –> 2000-2009	6.7268963	3.4208044	10844.38709	54.139159	3	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	971	3.3079956	5090.87566	32.592219	15.5613765	1982-1999 –> 2000-2009	6.7290041	3.4210085	10845.63434	66.130356	4	6
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	971	3.2743546	5069.02520	102.509835	15.2318150	1982-1999 –> 2000-2009	6.7507906	3.4764359	10856.62845	239.974849	2	6
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	971	3.5174465	5208.10060	14.091583	13.8859401	1982-1999 –> 2000-2009	7.2922399	3.7747933	11174.21268	30.072715	6	11
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + phosphate	971	3.5220837	5210.65912	70.323826	13.8944112	1982-1999 –> 2000-2009	7.3244864	3.8024027	11192.57053	164.200750	7	13
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + phosphate_star	971	3.4306532	5159.58046	21.255478	15.1835878	1982-1999 –> 2000-2009	7.4673371	4.0366839	11271.11744	38.900949	5	16
Atlantic	(26.75,27]	2	cstar_tref ~ sal + phosphate_star	971	3.5317701	5213.99265	5.726175	14.0148849	1982-1999 –> 2000-2009	7.5957551	4.0639851	11338.14302	12.596728	8	20
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + phosphate_star	971	4.1884221	5547.15197	741.039890	17.8484492	1982-1999 –> 2000-2009	8.1517701	3.9633481	11618.93996	1666.260148	9	16
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	971	4.3666635	5628.08513	126.622724	18.0518694	1982-1999 –> 2000-2009	8.3417984	3.9751348	11706.31106	274.276486	10	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	1009	3.6837802	5506.76778	142.165122	22.5579186	2000-2009 –> 2010-2019	6.9524305	3.2686503	10574.40681	269.727531	1	2
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	1009	3.6919407	5509.23323	100.018522	22.3474928	2000-2009 –> 2010-2019	6.9662954	3.2743546	10578.25843	202.528357	2	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1009	3.7002454	5515.76745	35.745483	22.6259579	2000-2009 –> 2010-2019	7.0063374	3.3060920	10605.52524	65.755325	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1009	3.6999650	5515.61448	133.043119	22.6241473	2000-2009 –> 2010-2019	7.0079606	3.3079956	10606.49015	251.208894	3	7
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + phosphate_star	1009	3.7103577	5519.27487	22.264096	22.6758776	2000-2009 –> 2010-2019	7.1410110	3.4306532	10678.85533	43.519574	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	1009	3.7677858	5550.26974	17.223744	22.9642837	2000-2009 –> 2010-2019	7.2898695	3.5220837	10760.92886	36.444458	6	13
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	1009	3.7755094	5554.40220	13.255200	23.0045298	2000-2009 –> 2010-2019	7.2929559	3.5174465	10762.50280	27.346782	7	13
Atlantic	(26.75,27]	2	cstar_tref ~ sal + phosphate_star	1009	3.8884973	5611.90793	6.222815	23.5850035	2000-2009 –> 2010-2019	7.4202674	3.5317701	10825.90057	11.948990	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + phosphate_star	1009	5.0242111	6131.01168	853.340676	17.2077707	2000-2009 –> 2010-2019	9.2126331	4.1884221	11678.16364	1594.380566	10	19
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	1009	5.1214856	6169.70906	141.974173	17.4218371	2000-2009 –> 2010-2019	9.4881491	4.3666635	11797.79419	268.596897	11	21
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1165	2.9192724	5814.33593	439.740103	20.5601765	1982-1999 –> 2000-2009	5.8565179	2.9372456	14908.27838	1104.009135	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	1165	2.9192905	5814.35042	47.416795	20.4892535	1982-1999 –> 2000-2009	5.8596298	2.9403392	14912.12261	165.353039	2	4
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	1165	2.9200977	5812.99459	42.151698	20.1914801	1982-1999 –> 2000-2009	5.8655042	2.9454065	14915.03098	138.185800	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	1165	2.9235601	5817.75563	28.098630	19.4280461	1982-1999 –> 2000-2009	5.8889943	2.9654342	14946.44539	72.188552	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1165	2.9261614	5819.82791	27.459000	19.1275381	1982-1999 –> 2000-2009	5.8949677	2.9688062	14952.65211	71.583880	5	10
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + phosphate_star	1165	3.0585498	5920.92901	16.896056	13.6599718	1982-1999 –> 2000-2009	6.2368632	3.1783135	15299.83126	42.130817	6	12
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	1165	3.1448716	5985.77800	17.061812	12.0431737	1982-1999 –> 2000-2009	6.3732233	3.2283517	15421.50945	42.447917	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + phosphate	1165	3.7830155	6416.24173	315.127048	15.1279288	1982-1999 –> 2000-2009	7.5255873	3.7425718	16389.67441	926.943799	8	16
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	1165	3.7911924	6421.27257	39.903696	15.0453272	1982-1999 –> 2000-2009	7.5630866	3.7718941	16423.09715	124.290797	9	18
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + phosphate_star	1165	3.7997301	6426.51377	20.270350	15.0049231	1982-1999 –> 2000-2009	7.5928701	3.7931400	16448.77257	51.591432	10	20
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	1291	4.4086731	7506.28671	66.336586	28.3126144	2000-2009 –> 2010-2019	7.3279636	2.9192905	13320.63713	113.753381	1	3
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1291	4.4342250	7521.20835	538.053181	28.9720842	2000-2009 –> 2010-2019	7.3534974	2.9192724	13335.54428	977.793284	2	3
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	1291	4.4562925	7532.02613	56.638374	28.7342159	2000-2009 –> 2010-2019	7.3763902	2.9200977	13345.02071	98.790072	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1291	4.4568711	7534.36136	30.239047	29.2266014	2000-2009 –> 2010-2019	7.3804312	2.9235601	13352.11699	58.712316	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1291	4.4720057	7543.11444	28.233388	29.5987748	2000-2009 –> 2010-2019	7.3981671	2.9261614	13362.94235	55.692389	6	11
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + phosphate	1291	4.4651177	7537.13448	39.593538	28.7288693	2000-2009 –> 2010-2019	7.5236675	3.0585498	13458.06348	71.031183	5	11
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	1291	4.5039406	7559.48718	18.088486	28.6588150	2000-2009 –> 2010-2019	7.6488122	3.1448716	13545.26518	35.150298	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + phosphate_star	1291	5.4914249	8071.33009	452.983167	16.4886929	2000-2009 –> 2010-2019	9.2744403	3.7830155	14487.57182	768.110215	9	17
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	1291	5.5137428	8081.80243	53.072072	18.2590229	2000-2009 –> 2010-2019	9.3049352	3.7911924	14503.07500	92.975768	10	19
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + phosphate	1291	5.5245312	8086.84953	49.819082	18.9025197	2000-2009 –> 2010-2019	9.3242613	3.7997301	14513.36330	87.375992	11	21
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1719	2.6762659	8274.75522	26.222371	12.6788633	1982-1999 –> 2000-2009	5.2825808	2.6063149	17713.44476	97.290607	1	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1719	2.7014093	8306.90426	27.586365	12.9190569	1982-1999 –> 2000-2009	5.3022891	2.6008799	17737.31479	99.974824	2	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	1719	2.7198548	8330.29949	24.350992	13.1272597	1982-1999 –> 2000-2009	5.3150720	2.5952172	17752.06584	105.557909	3	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1719	2.7259986	8338.05676	542.731445	13.2750837	1982-1999 –> 2000-2009	5.3210862	2.5950876	17759.62506	1323.906095	4	5
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	1719	2.7269178	8337.21586	19.674297	13.3152898	1982-1999 –> 2000-2009	5.3224652	2.5955474	17757.48668	87.874378	5	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	1719	2.7626672	8381.99460	19.087804	13.6593908	1982-1999 –> 2000-2009	5.4527949	2.6901277	17944.21344	61.458575	6	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	1719	2.9502117	8607.80354	13.594731	14.0700449	1982-1999 –> 2000-2009	5.7478431	2.7976314	18325.42802	56.042965	8	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	1719	2.9354930	8590.60833	14.765022	12.8711543	1982-1999 –> 2000-2009	5.9423753	3.0068823	18594.30282	56.893923	7	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + phosphate	1719	2.9711324	8632.09729	17.220911	12.8367010	1982-1999 –> 2000-2009	5.9949597	3.0238273	18658.07909	59.212294	9	18
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	1719	2.9901585	8654.04280	18.434953	12.9023071	1982-1999 –> 2000-2009	6.0390163	3.0488578	18712.71912	63.299397	10	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1720	4.5381883	10096.24443	40.147330	26.9029509	2000-2009 –> 2010-2019	7.2144541	2.6762659	18370.99965	66.369701	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1720	4.5429899	10099.88222	37.968753	30.0187233	2000-2009 –> 2010-2019	7.2443992	2.7014093	18406.78648	65.555118	3	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	1720	4.5464607	10102.50934	32.316669	30.9822644	2000-2009 –> 2010-2019	7.2663155	2.7198548	18432.80883	56.667662	4	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1720	4.5405413	10098.02758	167.575020	28.4796583	2000-2009 –> 2010-2019	7.2665398	2.7259986	18436.08434	373.258270	2	6
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	1720	4.5492088	10102.58802	24.947341	32.0677490	2000-2009 –> 2010-2019	7.3118761	2.7626672	18484.58262	44.035145	5	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	1720	4.5871232	10131.13915	28.032451	34.6787406	2000-2009 –> 2010-2019	7.3140410	2.7269178	18468.35501	47.706747	7	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	1720	4.5612784	10111.70262	25.754898	22.6890400	2000-2009 –> 2010-2019	7.5114900	2.9502117	18719.50617	39.349630	6	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate_star	1720	4.7550516	10254.82249	28.811100	20.8190015	2000-2009 –> 2010-2019	7.6905445	2.9354930	18845.43082	43.576122	9	16
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	1720	4.7774071	10270.95748	30.526162	20.6153481	2000-2009 –> 2010-2019	7.7485395	2.9711324	18903.05477	53.638328	10	19
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + phosphate	1720	4.7808682	10273.44880	22.583209	20.6009627	2000-2009 –> 2010-2019	7.7710267	2.9901585	18927.49160	41.018163	11	21
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2279	3.6177415	12340.42581	25.190708	18.1093870	1982-1999 –> 2000-2009	6.4191495	2.8014080	24876.92219	53.269004	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + phosphate	2279	3.6350433	12362.17240	126.376148	18.5786594	1982-1999 –> 2000-2009	6.4468419	2.8117987	24917.60194	222.186836	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	2279	3.6428448	12371.94437	21.300074	19.6659241	1982-1999 –> 2000-2009	6.4610282	2.8181834	24938.97299	46.119648	3	7
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	2279	3.6464024	12374.39346	18.521758	20.3804478	1982-1999 –> 2000-2009	6.4757490	2.8293466	24959.63943	35.925190	4	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	2279	3.6581272	12391.02595	27.037760	20.3054911	1982-1999 –> 2000-2009	6.4758233	2.8176961	24957.17019	58.333178	6	9
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	2279	3.6880458	12426.15265	19.229067	21.5991833	1982-1999 –> 2000-2009	6.5121510	2.8241053	25001.91610	36.235192	9	15
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate_star	2279	3.6612255	12392.88483	11.991632	16.2504733	1982-1999 –> 2000-2009	6.5137400	2.8525144	25019.83570	25.476250	7	16
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	2279	3.6539052	12383.76235	15.838075	20.8001970	1982-1999 –> 2000-2009	6.6006001	2.9466949	25176.83278	32.109192	5	15
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	2279	3.6846928	12422.00695	19.681943	22.5099480	1982-1999 –> 2000-2009	6.6675699	2.9828771	25277.48934	37.368019	8	20
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + temp + phosphate	2279	3.8653265	12640.14817	18.329166	17.1416092	1982-1999 –> 2000-2009	6.6841806	2.8188541	25206.39377	43.043514	15	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2583	4.6732606	15307.46986	20.281885	18.7409326	2000-2009 –> 2010-2019	8.2910021	3.6177415	27647.89568	45.472593	2	3
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2583	4.6691433	15302.91640	341.742785	18.3925841	2000-2009 –> 2010-2019	8.3041865	3.6350433	27665.08880	776.126026	1	3
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	2583	4.6806956	15315.68230	16.860278	19.1515857	2000-2009 –> 2010-2019	8.3235405	3.6428448	27687.62667	38.160352	3	6
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	2583	4.6973862	15334.07064	23.062643	19.5937283	2000-2009 –> 2010-2019	8.3555134	3.6581272	27725.09660	50.100402	4	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate_star	2583	4.6982947	15333.06963	9.552345	18.5515139	2000-2009 –> 2010-2019	8.3595202	3.6612255	27725.95446	21.543976	5	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	2583	4.7407369	15379.52732	12.160706	19.6808437	2000-2009 –> 2010-2019	8.3946421	3.6539052	27763.28966	27.998781	6	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	2583	4.7497081	15389.29408	13.629433	20.0827444	2000-2009 –> 2010-2019	8.4344009	3.6846928	27811.30104	33.311376	9	17
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	2583	4.7410727	15379.89332	204.455927	19.7702885	2000-2009 –> 2010-2019	8.4369449	3.6958722	27815.70829	487.639983	7	17
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	2583	4.8106586	15455.16488	12.916945	19.4096188	2000-2009 –> 2010-2019	8.4570610	3.6464024	27829.55833	31.438703	11	15
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + phosphate + phosphate_star	2583	4.7700134	15411.33203	23.832031	20.5390767	2000-2009 –> 2010-2019	8.4758287	3.7058153	27859.39306	51.607363	10	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1437	4.6241883	8490.98797	870.002154	29.8502276	1982-1999 –> 2000-2009	7.8591960	3.2350077	15566.23781	1769.984726	1	2
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	1437	4.6625581	8512.73702	289.919381	36.7695567	1982-1999 –> 2000-2009	7.9009751	3.2384170	15588.85610	596.889405	3	5
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	1437	4.6652432	8516.39159	31.229782	34.3213192	1982-1999 –> 2000-2009	7.9209920	3.2557488	15609.05053	62.283207	4	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1437	4.6681945	8518.20919	36.324921	34.3734244	1982-1999 –> 2000-2009	7.9260247	3.2578301	15612.60893	72.949061	5	10
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + aou	1437	4.6614542	8512.05647	177.487464	29.0058457	1982-1999 –> 2000-2009	7.9353194	3.2738652	15617.83089	298.669420	2	9
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	1437	4.6904773	8529.89505	23.318799	38.8268199	1982-1999 –> 2000-2009	7.9475435	3.2570662	15621.65599	47.025776	7	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	1437	4.6936653	8531.84779	13.042365	38.8904490	1982-1999 –> 2000-2009	7.9528376	3.2591723	15625.36956	28.279144	8	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	1437	4.6831822	8525.42165	26.470801	32.7861672	1982-1999 –> 2000-2009	7.9621137	3.2789315	15635.40814	52.115884	6	15
Atlantic	(27.75,27.85]	2	cstar_tref ~ oxygen + aou	1437	4.6945594	8530.39521	7.755739	35.5301676	1982-1999 –> 2000-2009	7.9696893	3.2751299	15635.22168	12.860079	9	17
Atlantic	(27.75,27.85]	2	cstar_tref ~ temp + aou	1437	4.7085468	8538.94555	1.033152	37.3022928	1982-1999 –> 2000-2009	7.9885851	3.2800383	15647.85141	2.182896	10	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1732	5.3957502	10766.16183	936.139919	17.7931048	2000-2009 –> 2010-2019	10.0199385	4.6241883	19257.14980	1806.142073	3	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	1732	5.3923109	10763.95310	30.893985	17.5533608	2000-2009 –> 2010-2019	10.0575540	4.6652432	19280.34469	62.123766	1	5
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1732	5.3923889	10764.00324	37.614972	17.4898446	2000-2009 –> 2010-2019	10.0605835	4.6681945	19282.21243	73.939892	2	7
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	1732	5.4083087	10772.21485	237.667534	16.9658386	2000-2009 –> 2010-2019	10.0708669	4.6625581	19284.95186	527.586915	5	8
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	1732	5.4121004	10774.64255	15.945177	16.5791101	2000-2009 –> 2010-2019	10.1025777	4.6904773	19304.53760	39.263976	6	13
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	1732	5.4132422	10775.37327	8.197802	16.4716821	2000-2009 –> 2010-2019	10.1069075	4.6936653	19307.22106	21.240167	7	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	1732	5.3994046	10768.50708	39.735861	16.9303928	2000-2009 –> 2010-2019	10.1086140	4.7092095	19311.85705	78.163806	4	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + aou	1732	5.4590442	10804.55926	110.641094	14.5205991	2000-2009 –> 2010-2019	10.1204984	4.6614542	19316.61572	288.128558	14	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	1732	5.4523210	10800.29042	18.101409	14.3299987	2000-2009 –> 2010-2019	10.1355032	4.6831822	19325.71207	44.572210	11	17
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + temp + oxygen	1732	5.4337438	10788.46775	18.113451	14.4160991	2000-2009 –> 2010-2019	10.1490318	4.7152880	19333.52502	44.425790	9	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	4644	5.0214302	28179.28404	10.425816	25.0246384	1982-1999 –> 2000-2009	9.9134816	4.8920514	48834.25815	24.137372	1	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	4644	5.0268463	28189.29671	19.187417	23.4724739	1982-1999 –> 2000-2009	9.9144813	4.8876350	48838.06954	43.551758	2	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4644	5.0293441	28193.91074	9.739681	22.8513294	1982-1999 –> 2000-2009	9.9161095	4.8867654	48841.46189	23.443781	3	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4644	5.0482357	28228.73357	412.327881	21.8867757	1982-1999 –> 2000-2009	9.9263213	4.8780857	48864.07869	908.564294	4	5
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + aou	4644	5.1167872	28352.00946	159.403383	20.4510808	1982-1999 –> 2000-2009	10.0082420	4.8914548	49004.14610	323.339837	7	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + aou	4644	5.1105231	28340.63200	8.008886	26.3813335	1982-1999 –> 2000-2009	10.0206614	4.9101382	49018.94411	18.771440	6	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + oxygen	4644	5.1097530	28339.23220	8.134107	28.7906350	1982-1999 –> 2000-2009	10.0294239	4.9196709	49030.86132	18.878746	5	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate_star	4644	5.2261162	28548.37325	6.548391	29.0937540	1982-1999 –> 2000-2009	10.3173934	5.0912772	49475.41742	16.258475	8	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	4644	5.3228317	28718.68756	17.839272	33.7512819	1982-1999 –> 2000-2009	10.4842000	5.1613683	49739.61056	40.905018	10	19
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + phosphate	4644	5.3143205	28703.82418	8.737694	30.5024879	1982-1999 –> 2000-2009	10.5361884	5.2218679	49804.75983	21.154203	9	23
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	4783	6.0492021	30803.66172	10.371403	52.2368754	2000-2009 –> 2010-2019	11.0706322	5.0214302	58982.94576	20.797218	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4783	6.0733503	30841.77287	9.921775	56.0593138	2000-2009 –> 2010-2019	11.1026944	5.0293441	59035.68361	19.661456	2	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	4783	6.0834993	30857.74491	14.444678	58.5394374	2000-2009 –> 2010-2019	11.1103455	5.0268463	59047.04162	33.632095	3	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + phosphate	4783	6.1516674	30964.33983	232.381143	65.8055489	2000-2009 –> 2010-2019	11.1999031	5.0482357	59193.07339	449.263126	4	8
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + oxygen	4783	6.4122196	31359.15959	7.442131	123.8748301	2000-2009 –> 2010-2019	11.5219726	5.1097530	59698.39179	15.576238	5	10
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + aou	4783	6.4757193	31453.42494	7.426401	131.2044421	2000-2009 –> 2010-2019	11.5862424	5.1105231	59794.05693	15.435287	10	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + aou	4783	6.5727900	31595.75473	139.138623	130.4346203	2000-2009 –> 2010-2019	11.6895772	5.1167872	59947.76418	298.542007	11	18
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate_star	4783	6.6752888	31743.77976	4.131003	43.4836523	2000-2009 –> 2010-2019	11.9014051	5.2261162	60292.15300	10.679393	14	22
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	4783	6.4524028	31418.91945	8.460903	43.6284257	2000-2009 –> 2010-2019	11.9284446	5.4760418	60401.17362	19.071322	8	21
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	4783	6.6115527	31652.00411	12.069071	29.1877843	2000-2009 –> 2010-2019	11.9343844	5.3228317	60370.69167	29.908344	12	22
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3512	3.1570996	18053.79218	379.097612	38.6018732	1982-1999 –> 2000-2009	6.2721392	3.1150396	35272.37701	706.940899	1	2
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + aou	3512	3.2759287	18311.31245	128.677504	33.9848789	1982-1999 –> 2000-2009	6.4141147	3.1381861	35577.74960	269.123777	5	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3512	3.2153378	18182.18169	19.967052	40.8620602	1982-1999 –> 2000-2009	6.4337369	3.2183991	35620.57894	47.609479	2	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3512	3.2385901	18232.79423	54.619495	40.7009496	1982-1999 –> 2000-2009	6.4427706	3.2041805	35641.37545	112.381510	3	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3512	3.2735464	18308.20276	18.169398	41.3397112	1982-1999 –> 2000-2009	6.5545078	3.2809614	35876.24596	43.772680	4	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + aou	3512	3.3531075	18474.87422	4.743181	36.0851898	1982-1999 –> 2000-2009	6.5876153	3.2345078	35944.89240	10.147554	7	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	3512	3.3048123	18372.97102	17.349028	46.3413091	1982-1999 –> 2000-2009	6.6837553	3.3789431	36137.17207	42.968390	6	22
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + oxygen	3512	3.4042445	18581.18607	4.503003	36.7225734	1982-1999 –> 2000-2009	6.7047245	3.3004800	36187.17137	9.800946	8	19
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + phosphate	3512	3.6702852	19109.71625	156.136779	33.4807833	1982-1999 –> 2000-2009	6.7930067	3.1227215	36342.88719	306.694309	12	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	3512	3.4751572	18725.99762	54.281692	51.0226471	1982-1999 –> 2000-2009	6.8167231	3.3415659	36415.29341	111.807150	9	21
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3542	4.1146480	20084.45612	130.061431	39.8799493	2000-2009 –> 2010-2019	7.2717476	3.1570996	38138.24830	286.523069	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3542	4.2204712	20264.34364	21.318053	38.4171452	2000-2009 –> 2010-2019	7.4358091	3.2153378	38446.52533	41.285105	3	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3542	4.2042835	20237.12055	17.687701	38.6151479	2000-2009 –> 2010-2019	7.4428737	3.2385901	38469.91478	72.307196	2	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3542	4.2621334	20333.93014	20.539542	38.1476075	2000-2009 –> 2010-2019	7.5356799	3.2735464	38642.13290	38.708940	4	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + phosphate + phosphate_star	3542	4.4931757	20705.89376	80.559720	35.9110234	2000-2009 –> 2010-2019	8.1634609	3.6702852	39815.61001	459.589404	5	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + aou	3542	4.9418225	21380.10963	50.166050	31.0916932	2000-2009 –> 2010-2019	8.2177512	3.2759287	39691.42208	178.843554	13	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	3542	4.9135334	21339.44127	2.277821	40.9056804	2000-2009 –> 2010-2019	8.2183457	3.3048123	39712.41229	19.626849	12	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + aou	3542	4.8948363	21312.43360	12.081695	31.7872804	2000-2009 –> 2010-2019	8.2479438	3.3531075	39787.30782	16.824876	11	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + oxygen	3542	4.8462263	21241.73161	10.382236	31.8801532	2000-2009 –> 2010-2019	8.2504708	3.4042445	39822.91768	14.885239	10	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	3542	4.5957367	20865.77496	6.886110	38.2149121	2000-2009 –> 2010-2019	8.2905818	3.6948451	40022.33614	21.089609	6	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1585	2.8225696	7799.37823	68.015307	23.7934438	1982-1999 –> 2000-2009	4.6585141	1.8359445	14932.49078	100.031985	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1585	2.8347000	7812.97262	92.080016	23.9724146	1982-1999 –> 2000-2009	4.6730147	1.8383147	14950.61880	142.538024	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1585	2.8395120	7818.34921	397.151110	23.9937646	1982-1999 –> 2000-2009	4.6863384	1.8468265	14972.22840	693.693196	3	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1585	2.8463561	7825.98075	52.832532	24.1444850	1982-1999 –> 2000-2009	4.6872066	1.8408505	14968.47082	89.018389	6	9
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	1585	2.8463593	7823.98426	25.192882	24.1412461	1982-1999 –> 2000-2009	4.7074162	1.8610570	15002.83633	51.677070	7	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + phosphate	1585	2.8403947	7817.33456	19.186102	23.9285524	1982-1999 –> 2000-2009	4.7087526	1.8683579	15009.94511	40.640153	4	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	1585	2.8412370	7818.27447	16.184470	24.1591298	1982-1999 –> 2000-2009	4.7312192	1.8899822	15051.32236	29.863921	5	20
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	1585	2.8934782	7876.03113	37.424512	26.6318082	1982-1999 –> 2000-2009	4.7490598	1.8555817	15044.52966	59.820405	8	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	1585	2.9010686	7884.33601	81.040658	26.7118959	1982-1999 –> 2000-2009	4.7604202	1.8593516	15059.96664	130.504719	10	16
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1585	2.9155221	7900.09019	45.198683	26.9041058	1982-1999 –> 2000-2009	4.7780742	1.8625521	15081.76423	81.148171	11	19
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2047	2.2488044	9138.90670	65.466204	28.9516851	2000-2009 –> 2010-2019	5.0713740	2.8225696	16938.28493	133.481511	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2047	2.2517796	9144.31946	101.875438	29.0505208	2000-2009 –> 2010-2019	5.0864796	2.8347000	16957.29208	193.955454	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2047	2.2567537	9153.35298	61.416771	29.2644791	2000-2009 –> 2010-2019	5.1031098	2.8463561	16979.33373	114.249303	5	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate	2047	2.2663990	9170.81328	365.356925	29.5975703	2000-2009 –> 2010-2019	5.1059109	2.8395120	16989.16249	762.508035	7	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	2047	2.2896928	9210.67633	38.029014	29.7237311	2000-2009 –> 2010-2019	5.1360521	2.8463593	17034.66060	63.221896	9	16
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + phosphate	2047	2.3026051	9233.69877	29.104085	30.0151959	2000-2009 –> 2010-2019	5.1429998	2.8403947	17051.03333	48.290187	10	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	2047	2.2538153	9146.01889	46.714540	29.5726395	2000-2009 –> 2010-2019	5.1472935	2.8934782	17022.05002	84.139051	3	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + phosphate_star	2047	2.2561406	9150.24053	46.669508	29.6242587	2000-2009 –> 2010-2019	5.1572091	2.9010686	17034.57654	86.416570	4	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	2047	2.3320892	9285.78838	22.576080	30.5425165	2000-2009 –> 2010-2019	5.1733263	2.8412370	17104.06285	38.760550	11	16
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	2047	2.2605956	9158.31673	61.379910	29.7991410	2000-2009 –> 2010-2019	5.1761177	2.9155221	17058.40692	106.578593	6	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1311	1.5232365	4835.89243	59.530919	9.9079419	1982-1999 –> 2000-2009	2.8650362	1.3417997	9942.20657	108.632041	2	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1311	1.5222029	4834.11265	49.837814	9.8389103	1982-1999 –> 2000-2009	2.8651544	1.3429515	9942.97855	85.984223	1	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1311	1.5259045	4840.48094	963.575411	10.0302843	1982-1999 –> 2000-2009	2.8653626	1.3394581	9941.60053	1770.757066	4	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1311	1.5258974	4840.46873	49.808067	10.0465614	1982-1999 –> 2000-2009	2.8657318	1.3398344	9942.42372	85.785122	3	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	1311	1.5259110	4838.49201	22.190009	10.0377433	1982-1999 –> 2000-2009	2.8669072	1.3409962	9941.02489	51.534970	5	8
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + oxygen + phosphate_star	1311	1.5698855	4912.98584	18.174650	9.6008232	1982-1999 –> 2000-2009	2.9436381	1.3737526	10087.29119	37.125595	6	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate_star	1311	1.6441489	5034.17522	17.994065	9.4487776	1982-1999 –> 2000-2009	3.0618913	1.4177423	10302.21982	37.575603	7	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + phosphate	1311	1.9112323	5428.85267	88.275231	14.2274651	1982-1999 –> 2000-2009	3.3027094	1.3914771	10641.28385	161.896206	11	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	1311	1.9080831	5424.52872	21.488699	13.9170689	1982-1999 –> 2000-2009	3.3048328	1.3967497	10648.20777	47.113822	10	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + oxygen + phosphate	1311	1.9078255	5424.17475	21.731987	13.7822980	1982-1999 –> 2000-2009	3.3086416	1.4008161	10656.49945	46.825150	8	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	2418	1.3822654	8439.51483	56.223996	10.4185473	2000-2009 –> 2010-2019	2.9081628	1.5258974	13279.98356	106.032063	1	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + phosphate	2418	1.3846082	8447.70434	119.408799	10.4042142	2000-2009 –> 2010-2019	2.9105127	1.5259045	13288.18528	363.186382	2	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	2418	1.3855421	8448.96507	46.518362	10.4495111	2000-2009 –> 2010-2019	2.9114531	1.5259110	13287.45707	68.708371	3	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	2418	1.3929453	8476.73587	56.397882	10.3735653	2000-2009 –> 2010-2019	2.9161818	1.5232365	13312.62830	115.928801	4	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2418	1.3998568	8500.67179	56.519624	10.2900299	2000-2009 –> 2010-2019	2.9220597	1.5222029	13334.78444	106.357439	5	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + phosphate + phosphate_star	2418	1.4065868	8521.86583	47.504851	10.8569280	2000-2009 –> 2010-2019	2.9764723	1.5698855	13434.85166	73.744446	6	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate_star	2418	1.4594338	8700.22957	36.550681	11.6393919	2000-2009 –> 2010-2019	3.1035827	1.6441489	13734.40479	54.544746	7	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + phosphate_star	2418	1.6061327	9163.42499	75.124397	18.5715103	2000-2009 –> 2010-2019	3.5173650	1.9112323	14592.27767	163.399629	8	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	2418	1.6271605	9226.32794	34.572589	18.7599257	2000-2009 –> 2010-2019	3.5352436	1.9080831	14650.85666	56.061288	9	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + phosphate + phosphate_star	2418	1.6369381	9255.30047	66.590894	18.8045837	2000-2009 –> 2010-2019	3.5447636	1.9078255	14679.47523	113.332564	10	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	847	0.5536185	1414.05455	35.640854	4.2207805	1982-1999 –> 2000-2009	1.0937124	0.5400938	2644.89643	51.952286	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	847	0.5576199	1426.25434	63.186652	4.2540428	1982-1999 –> 2000-2009	1.1005958	0.5429759	2665.17502	96.313421	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	847	0.5595929	1432.23729	540.247168	4.2548594	1982-1999 –> 2000-2009	1.1065516	0.5469587	2682.25215	641.890531	3	7
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	847	0.5618157	1438.95281	50.975523	4.2805090	1982-1999 –> 2000-2009	1.1084373	0.5466216	2688.03191	67.266178	4	7
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	847	0.5822219	1497.39119	42.882153	4.4651109	1982-1999 –> 2000-2009	1.1295230	0.5473011	2746.35605	56.699318	6	11
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + oxygen + phosphate	847	0.5752135	1476.87627	48.882517	4.0273797	1982-1999 –> 2000-2009	1.1768579	0.6016444	2869.54630	64.102834	5	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate_star	847	0.7247488	1868.33222	7.460986	4.3620681	1982-1999 –> 2000-2009	1.2928323	0.5680834	3173.87172	13.308382	7	13
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + oxygen + phosphate_star	847	0.7305319	1881.79561	10.643581	4.4019878	1982-1999 –> 2000-2009	1.3015559	0.5710241	3195.17257	18.663582	9	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate	847	0.7334714	1888.59825	15.374377	4.4113530	1982-1999 –> 2000-2009	1.3068182	0.5733468	3208.13751	21.334278	10	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	847	0.7375757	1898.05114	352.804312	4.4201418	1982-1999 –> 2000-2009	1.3128971	0.5753214	3222.80919	435.341758	11	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1090	0.6205976	2065.26805	15.732527	2.4864395	2000-2009 –> 2010-2019	1.1742161	0.5536185	3479.32260	51.373381	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1090	0.6232912	2074.70948	33.884651	2.5015200	2000-2009 –> 2010-2019	1.1809111	0.5576199	3500.96382	97.071303	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + phosphate	1090	0.6240483	2077.35595	51.088190	2.5164413	2000-2009 –> 2010-2019	1.1836411	0.5595929	3509.59324	243.639637	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	1090	0.6248542	2080.16941	15.681235	2.5112078	2000-2009 –> 2010-2019	1.1866698	0.5618157	3519.12222	66.656758	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + oxygen + phosphate	1090	0.6300862	2096.34700	14.823385	2.7083888	2000-2009 –> 2010-2019	1.2052998	0.5752135	3573.22328	63.705902	5	10
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	1090	0.6330593	2106.60923	13.357568	2.3280718	2000-2009 –> 2010-2019	1.2152812	0.5822219	3604.00042	56.239721	6	12
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate_star	1090	0.7364953	2436.52764	5.102331	2.6972388	2000-2009 –> 2010-2019	1.4612441	0.7247488	4304.85986	12.563317	9	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + oxygen + phosphate_star	1090	0.7377568	2440.25841	8.096943	2.6837730	2000-2009 –> 2010-2019	1.4682886	0.7305319	4322.05402	18.740524	10	19
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + phosphate	1090	0.7379088	2440.70757	6.487637	2.6850420	2000-2009 –> 2010-2019	1.4713801	0.7334714	4329.30582	21.862014	11	21
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	1090	0.7385685	2442.65561	82.232358	2.6909069	2000-2009 –> 2010-2019	1.4761442	0.7375757	4340.70675	435.036671	12	23
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	941	0.7329169	2097.66163	154.500365	4.0563094	1982-1999 –> 2000-2009	1.0699930	0.3370761	2630.10417	282.382893	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	941	0.7342917	2101.18858	152.660525	4.0763453	1982-1999 –> 2000-2009	1.0716557	0.3373640	2634.97152	280.330807	2	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	941	0.7368343	2107.69409	315.641038	4.0998792	1982-1999 –> 2000-2009	1.0776373	0.3408030	2657.39998	586.168809	3	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	941	0.7368927	2107.84331	414.525934	4.1067838	1982-1999 –> 2000-2009	1.0777256	0.3408329	2657.68706	869.984466	4	11
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + phosphate	941	0.7369686	2106.03708	4.717285	4.1255931	1982-1999 –> 2000-2009	1.0778045	0.3408360	2653.89484	13.859281	5	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	941	0.7436188	2122.94369	332.696190	3.8450731	1982-1999 –> 2000-2009	1.0807698	0.3371510	2653.73474	476.891068	6	8
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	941	0.7458318	2128.53601	2.633343	3.8601878	1982-1999 –> 2000-2009	1.0832611	0.3374294	2660.62297	9.566619	7	11
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate	941	0.7489695	2136.43711	5.364841	3.8739391	1982-1999 –> 2000-2009	1.0897820	0.3408124	2684.18653	19.092245	8	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + oxygen + phosphate_star	941	0.7499720	2138.95429	2.680013	3.8791215	1982-1999 –> 2000-2009	1.0908053	0.3408334	2686.80008	11.433234	9	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	941	0.8602297	2397.09627	128.813935	5.1469648	1982-1999 –> 2000-2009	1.2075000	0.3472703	2974.31639	255.881040	10	21
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1306	0.2323442	-94.03937	69.515060	2.3686665	2000-2009 –> 2010-2019	0.9652610	0.7329169	2003.62227	463.113126	3	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	1306	0.2298684	-122.02087	25.967944	2.3567037	2000-2009 –> 2010-2019	0.9667611	0.7368927	1985.82244	176.030802	1	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	1306	0.2302749	-117.40660	52.634154	2.3585595	2000-2009 –> 2010-2019	0.9671091	0.7368343	1990.28749	368.275193	2	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1306	0.2330416	-86.21107	26.263101	2.3612169	2000-2009 –> 2010-2019	0.9673332	0.7342917	2014.97751	178.923626	4	6
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + phosphate	1306	0.2379333	-33.95037	1.713344	2.4031295	2000-2009 –> 2010-2019	0.9749019	0.7369686	2072.08671	6.430629	8	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ oxygen + aou + phosphate_star	1306	0.2375673	-37.97143	21.986538	2.4337976	2000-2009 –> 2010-2019	0.9811861	0.7436188	2084.97227	67.477290	7	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	1306	0.2381933	-31.09817	2.279514	2.4268865	2000-2009 –> 2010-2019	0.9840250	0.7458318	2097.43784	4.912857	9	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + phosphate	1306	0.2359310	-56.02499	4.552492	2.4269847	2000-2009 –> 2010-2019	0.9849005	0.7489695	2080.41212	9.917333	6	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + phosphate + phosphate_star	1306	0.2352942	-63.08396	7.508289	2.4234267	2000-2009 –> 2010-2019	0.9852662	0.7499720	2075.87034	29.009109	5	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	1306	0.2808573	399.26659	25.891527	2.7716740	2000-2009 –> 2010-2019	1.1410870	0.8602297	2796.36286	154.705462	10	20
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3594	11.4612513	27742.66014	114.679201	40.9303876	1982-1999 –> 2000-2009	22.7707329	11.3094816	45009.13513	328.984227	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	3594	11.7432834	27917.39727	27.813686	41.0010463	1982-1999 –> 2000-2009	23.3688693	11.6255858	45307.59245	73.062468	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3594	11.9102354	28018.86808	9.625017	43.5337582	1982-1999 –> 2000-2009	23.7864623	11.8762269	45504.79374	18.845764	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + phosphate	3594	11.9946594	28069.63946	25.097276	45.0044371	1982-1999 –> 2000-2009	23.9952131	12.0005537	45602.30371	67.241407	4	8
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate	3594	13.7451794	29046.83675	26.369992	45.2559282	1982-1999 –> 2000-2009	26.2920735	12.5468941	46777.30840	68.307215	13	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	3594	13.6768734	29011.02729	8.842180	43.4740637	1982-1999 –> 2000-2009	26.3050688	12.6281955	46770.48646	17.151419	12	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + phosphate + phosphate_star	3594	13.6627659	29003.60914	16.593323	45.6453229	1982-1999 –> 2000-2009	26.3522925	12.6895267	46784.81237	32.743036	11	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ oxygen + aou + phosphate_star	3594	13.8405029	29096.51384	58.563814	46.2454227	1982-1999 –> 2000-2009	26.3702746	12.5297717	46820.85666	158.699603	14	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + phosphate_star	3594	13.4120807	28870.49841	5.324679	50.6573681	1982-1999 –> 2000-2009	28.4392492	15.0271685	47410.54531	10.124204	6	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + oxygen + aou	3594	13.3989783	28863.47294	17.728916	59.1672086	1982-1999 –> 2000-2009	28.4506455	15.0516672	47410.83065	79.327089	5	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	5188	10.7561262	39382.83971	74.252867	49.0636091	2000-2009 –> 2010-2019	22.2173775	11.4612513	67125.49985	137.826801	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	5188	11.4178181	40002.28334	32.024743	76.2435074	2000-2009 –> 2010-2019	23.1611015	11.7432834	67919.68061	59.838430	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5188	11.9560596	40480.23409	9.919842	94.5148002	2000-2009 –> 2010-2019	23.8662950	11.9102354	68499.10217	19.544858	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + phosphate	5188	12.1887785	40680.25743	27.522670	98.9779209	2000-2009 –> 2010-2019	24.1834379	11.9946594	68749.89688	52.619947	4	8
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	5188	12.6963164	41101.55855	108.692012	47.5275017	2000-2009 –> 2010-2019	26.5368193	13.8405029	70198.07239	206.409682	5	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate	5188	12.8219513	41203.72832	31.851777	64.6621803	2000-2009 –> 2010-2019	26.5671306	13.7451794	70250.56507	58.221769	6	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + phosphate_star	5188	13.1096844	41433.99854	9.739879	87.1194869	2000-2009 –> 2010-2019	26.7865578	13.6768734	70445.02583	18.582059	7	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + phosphate + phosphate_star	5188	13.2893968	41575.27049	18.867372	95.2605742	2000-2009 –> 2010-2019	26.9521627	13.6627659	70578.87963	35.460695	8	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + phosphate_star	5188	13.5874778	41805.43227	5.420789	51.1068415	2000-2009 –> 2010-2019	26.9995585	13.4120807	70675.93069	10.745468	9	15
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + oxygen + aou	5188	14.0702059	42167.66768	17.274330	61.9483792	2000-2009 –> 2010-2019	27.4691843	13.3989783	71031.14062	35.003245	10	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	2958	9.7715644	21891.82376	506.446000	38.0622443	1982-1999 –> 2000-2009	18.8686300	9.0970657	39436.21215	1221.046860	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	2958	9.9113310	21975.84323	105.223162	44.5480515	1982-1999 –> 2000-2009	19.0358287	9.1244977	39534.78653	184.744009	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2958	10.0687890	22069.09002	24.726703	53.0993151	1982-1999 –> 2000-2009	19.2771944	9.2084054	39672.28301	41.749970	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2958	10.1239296	22101.39994	44.275485	55.2551363	1982-1999 –> 2000-2009	19.3690951	9.2451655	39723.85193	65.102131	4	8
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + phosphate_star	2958	11.6214996	22915.54119	321.484357	53.2064808	1982-1999 –> 2000-2009	21.1360554	9.5145558	40674.83553	624.691031	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	2958	11.6220121	22915.80208	105.070754	58.8624587	1982-1999 –> 2000-2009	21.1558141	9.5338019	40684.86482	184.296619	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	2958	11.6686876	22939.51387	24.645796	67.7107889	1982-1999 –> 2000-2009	21.2738647	9.6051772	40744.63178	36.152077	7	14
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + phosphate + phosphate_star	2958	11.6925070	22951.57797	44.108855	70.0611215	1982-1999 –> 2000-2009	21.3304752	9.6379682	40773.17051	64.901387	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	2958	12.3624017	23281.16742	82.565069	57.6599853	1982-1999 –> 2000-2009	22.4769939	10.1145922	41336.09151	149.948802	10	19
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	2958	12.3626281	23279.27576	28.051652	57.7778022	1982-1999 –> 2000-2009	22.8240838	10.4614557	41495.19491	60.067040	11	21
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3029	11.1402829	23211.14833	334.511488	54.9974244	2000-2009 –> 2010-2019	20.9118472	9.7715644	45102.97209	840.957488	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	3029	11.6998659	23508.04942	57.684843	53.5661497	2000-2009 –> 2010-2019	21.6111969	9.9113310	45483.89264	162.908005	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3029	12.1127090	23718.12784	16.913323	62.8016168	2000-2009 –> 2010-2019	22.1814980	10.0687890	45787.21786	41.640025	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3029	12.2260207	23774.53565	22.794960	64.6395742	2000-2009 –> 2010-2019	22.3499503	10.1239296	45875.93558	67.070445	4	8
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + phosphate_star	3029	13.0604078	24172.47765	214.529703	62.0080663	2000-2009 –> 2010-2019	24.6819074	11.6214996	47088.01884	536.014059	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate	3029	13.2749262	24271.17255	57.680687	70.3911893	2000-2009 –> 2010-2019	24.8969384	11.6220121	47186.97463	162.751441	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + phosphate_star	3029	13.6635395	24445.96962	13.106619	80.3829522	2000-2009 –> 2010-2019	25.3322270	11.6686876	47385.48349	37.752415	7	14
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + oxygen + phosphate	3029	13.7780629	24496.53422	54.411723	82.4569600	2000-2009 –> 2010-2019	25.4705699	11.6925070	47448.11219	155.121770	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	3029	13.9842333	24586.51262	44.994015	72.9651939	2000-2009 –> 2010-2019	26.3466350	12.3624017	47867.68004	127.559084	9	19
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	3029	13.9846862	24584.70881	16.302557	72.8154954	2000-2009 –> 2010-2019	26.3473143	12.3626281	47863.98457	44.354209	10	21
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2731	8.6972263	19576.57100	60.908614	37.4008991	1982-1999 –> 2000-2009	17.4235876	8.7263613	34998.13456	111.148789	2	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2731	8.7016960	19579.37730	52.734574	37.3281866	1982-1999 –> 2000-2009	17.4373423	8.7356463	35005.51162	98.385608	3	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	2731	8.6826910	19567.43492	182.608843	37.2990249	1982-1999 –> 2000-2009	17.5277694	8.8450785	35047.07617	352.186689	1	7
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate_star	2731	8.7905367	19632.85934	30.967002	35.8477715	1982-1999 –> 2000-2009	17.5782151	8.7876783	35082.51781	58.751570	5	8
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + phosphate_star	2731	8.9522051	19732.39944	18.281431	36.7358727	1982-1999 –> 2000-2009	17.8598352	8.9076301	35240.32880	30.586720	9	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	2731	8.9841938	19751.88190	139.550907	34.5100988	1982-1999 –> 2000-2009	17.8716151	8.8874213	35250.04927	267.928368	11	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	2731	9.0153302	19770.77873	20.021151	36.2533206	1982-1999 –> 2000-2009	17.9237822	8.9084520	35279.10463	33.704034	13	24
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate	2731	8.7532093	19609.61653	29.322343	39.2660495	1982-1999 –> 2000-2009	18.0320695	9.2788602	35293.03536	54.990822	4	21
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + aou	2731	8.8071227	19643.15532	726.344527	41.5486875	1982-1999 –> 2000-2009	18.1678161	9.3606934	35364.31338	1528.386874	6	26
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + phosphate	2731	8.9842254	19749.90107	1.588859	34.4455212	1982-1999 –> 2000-2009	18.2814848	9.2972594	35439.83402	2.641112	12	30
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	2483	11.6082447	19233.66839	142.374492	35.9779752	2000-2009 –> 2010-2019	20.2909356	8.6826910	38801.10330	324.983335	3	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	2483	11.6068980	19233.09225	138.615974	35.9900374	2000-2009 –> 2010-2019	20.3041243	8.6972263	38809.66325	327.818049	1	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2483	11.6078280	19233.49014	44.040490	35.9959399	2000-2009 –> 2010-2019	20.3095240	8.7016960	38812.86744	96.775064	2	5
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + phosphate	2483	11.6486115	19248.90735	21.268518	34.8468060	2000-2009 –> 2010-2019	20.4018208	8.7532093	38858.52388	50.590861	12	16
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + aou	2483	11.6121867	19233.35450	457.290963	35.7265504	2000-2009 –> 2010-2019	20.4193094	8.8071227	38876.50982	1183.635490	8	14
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + oxygen	2483	11.6106828	19232.71133	21.068163	35.6409370	2000-2009 –> 2010-2019	20.4637667	8.8530838	38904.29668	50.513143	4	11
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + aou	2483	11.6118589	19233.21430	21.080641	35.6349255	2000-2009 –> 2010-2019	20.4762633	8.8644044	38911.77957	50.527267	7	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	2483	11.6192023	19236.35386	17.457758	36.1981273	2000-2009 –> 2010-2019	20.5714075	8.9522051	38968.75330	47.185022	10	19
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + oxygen	2483	11.6203644	19234.85050	1.035816	36.5675198	2000-2009 –> 2010-2019	20.5749553	8.9545909	38966.70540	2.151508	11	21
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	2483	11.6107940	19232.75889	102.043489	36.2250808	2000-2009 –> 2010-2019	20.5949879	8.9841938	38984.64079	241.594396	5	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3383	6.4206897	22194.08796	34.480643	22.6825333	1982-1999 –> 2000-2009	11.9669604	5.5462707	39438.70570	70.374371	1	2
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + oxygen	3383	6.4219558	22193.42195	17.050823	22.6286414	1982-1999 –> 2000-2009	11.9791901	5.5572343	39446.90506	42.803505	2	6
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	3383	6.4606766	22236.09472	78.967073	22.5440701	1982-1999 –> 2000-2009	12.0134183	5.5527417	39487.12802	140.691905	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3383	6.4618238	22237.29601	33.168162	22.6173391	1982-1999 –> 2000-2009	12.0183958	5.5565720	39492.12335	68.105283	4	7
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + oxygen + phosphate	3383	6.4620348	22235.51690	79.190691	21.4828190	1982-1999 –> 2000-2009	12.0193959	5.5573611	39489.12555	147.534158	5	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + aou	3383	6.4620666	22235.55026	17.240439	22.5939025	1982-1999 –> 2000-2009	12.0322487	5.5701820	39501.83747	43.013311	6	15
Indo-Pacific	(26.75,27]	2	cstar_tref ~ temp + oxygen	3383	6.4710217	22242.92006	1.011723	21.1730075	1982-1999 –> 2000-2009	12.0390215	5.5679998	39505.05129	2.072285	7	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3383	6.4731897	22249.18647	876.063490	23.4111407	1982-1999 –> 2000-2009	12.0482988	5.5751091	39522.33831	1629.152265	8	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3383	6.4795859	22253.86865	6.098357	23.0860925	1982-1999 –> 2000-2009	12.0636860	5.5841002	39533.88650	14.085428	11	23
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	3383	6.5036159	22278.91444	10.846996	21.4064026	1982-1999 –> 2000-2009	12.0717622	5.5681463	39543.19050	21.779124	14	22
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + phosphate	3600	7.0894142	24330.29702	50.203026	27.4528459	2000-2009 –> 2010-2019	13.5101040	6.4206897	46524.38497	135.845803	1	2
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + oxygen + phosphate	3600	7.1327690	24372.19397	48.802881	26.5405842	2000-2009 –> 2010-2019	13.5948038	6.4620348	46607.71086	127.993572	2	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3600	7.1383715	24379.84708	24.986477	27.3721635	2000-2009 –> 2010-2019	13.6001953	6.4618238	46617.14309	58.154639	3	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	3600	7.1934075	24435.14529	46.484659	26.9100873	2000-2009 –> 2010-2019	13.6540841	6.4606766	46671.24001	125.451733	5	8
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate_star	3600	7.1829140	24422.63448	7.920965	26.4448192	2000-2009 –> 2010-2019	13.6865298	6.5036159	46701.54892	18.767961	4	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + phosphate	3600	7.2435322	24483.14193	44.829536	25.9003713	2000-2009 –> 2010-2019	13.7521414	6.5086092	46767.24915	117.903389	6	22
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3600	7.2906669	24531.84164	519.323591	27.1202532	2000-2009 –> 2010-2019	13.7638566	6.4731897	46781.02812	1395.387081	7	15
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	3600	7.3416139	24579.98008	35.993210	27.7303894	2000-2009 –> 2010-2019	13.8178608	6.4762469	46830.36123	93.035283	8	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3600	7.3930295	24630.22816	4.598952	27.2163207	2000-2009 –> 2010-2019	13.8726154	6.4795859	46884.09681	10.697309	9	20
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + temp + oxygen	3600	7.4795541	24714.00428	14.028590	22.5555684	2000-2009 –> 2010-2019	13.9015098	6.4219558	46907.42623	31.079413	11	13
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	4501	4.6272814	26576.07440	77.479003	14.3117750	1982-1999 –> 2000-2009	8.2103110	3.5830295	46192.57526	121.706152	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + phosphate	4501	4.6369784	26594.91942	79.742855	14.2559892	1982-1999 –> 2000-2009	8.2307402	3.5937617	46233.17535	128.990943	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4501	4.6523456	26624.70316	15.627491	14.2641524	1982-1999 –> 2000-2009	8.2573551	3.6050095	46285.68975	38.231945	3	6
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + phosphate	4501	4.6616981	26640.78149	6.210362	13.9287215	1982-1999 –> 2000-2009	8.3199061	3.6582079	46406.32486	20.121504	4	8
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4501	4.6893469	26694.01510	2.522042	15.1670546	1982-1999 –> 2000-2009	8.4231923	3.7338454	46608.42266	7.151942	5	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + oxygen + phosphate	4501	4.7033857	26720.92466	31.868676	15.4895485	1982-1999 –> 2000-2009	8.4704000	3.7670144	46699.66427	62.387614	6	13
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	4501	4.7749788	26856.91726	68.021746	16.4350403	1982-1999 –> 2000-2009	8.5346451	3.7596663	46821.45401	111.800839	9	15
Indo-Pacific	(27,27.25]	3	cstar_tref ~ oxygen + aou + phosphate_star	4501	4.7726592	26852.54321	465.083323	16.4645513	1982-1999 –> 2000-2009	8.5569098	3.7842505	46864.48943	815.154598	8	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + phosphate_star	4501	4.7922265	26889.37482	5.706518	16.4378321	1982-1999 –> 2000-2009	8.5652667	3.7730402	46879.74072	13.280190	11	19
Indo-Pacific	(27,27.25]	2	cstar_tref ~ phosphate + phosphate_star	4501	4.8031080	26907.79214	1.000260	16.3781224	1982-1999 –> 2000-2009	8.5909605	3.7878525	46924.65865	2.007782	13	25
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	4514	5.0334139	27412.31401	45.711725	15.2657414	2000-2009 –> 2010-2019	9.6606953	4.6272814	53988.38841	123.190728	2	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	4514	5.0249038	27397.03717	13.709884	15.2107149	2000-2009 –> 2010-2019	9.6618822	4.6369784	53991.95659	28.955950	1	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4514	5.0448493	27432.80146	14.158372	15.2319247	2000-2009 –> 2010-2019	9.6971949	4.6523456	54057.50463	29.785863	3	6
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + phosphate	4514	5.0503708	27440.67701	6.909775	15.4925906	2000-2009 –> 2010-2019	9.7120689	4.6616981	54081.45850	13.120137	4	8
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4514	5.1344391	27589.71967	2.719269	16.5359485	2000-2009 –> 2010-2019	9.8237860	4.6893469	54283.73478	5.241310	13	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + oxygen	4514	5.0522722	27444.07521	6.658627	15.0029414	2000-2009 –> 2010-2019	9.8481121	4.7958399	54340.23508	12.730311	5	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	4514	5.0826980	27498.28073	42.788829	16.3827449	2000-2009 –> 2010-2019	9.8576768	4.7749788	54355.19799	110.810575	8	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + phosphate	4514	5.0771594	27488.43749	43.897522	16.3612739	2000-2009 –> 2010-2019	9.8693859	4.7922265	54377.81231	114.043661	7	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + phosphate + phosphate_star	4514	5.1715774	27654.78577	2.615828	16.9479290	2000-2009 –> 2010-2019	9.8749630	4.7033857	54375.71043	5.009519	16	22
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + aou	4514	5.0727094	27480.52129	6.657128	15.0226521	2000-2009 –> 2010-2019	9.8846643	4.8119549	54406.87895	12.727904	6	21
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	5928	3.5749211	31938.80461	98.712498	14.9071674	1982-1999 –> 2000-2009	6.7460477	3.1711266	54716.93389	137.771329	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	5928	3.5759819	31940.32239	52.269222	14.8897398	1982-1999 –> 2000-2009	6.7713341	3.1953521	54783.78815	80.405571	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5928	3.5934320	32000.03666	7.881913	15.3145094	1982-1999 –> 2000-2009	6.7983113	3.2048792	54871.84396	20.170333	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5928	3.5961087	32008.86462	8.391440	15.3764752	1982-1999 –> 2000-2009	6.8029976	3.2068889	54886.21852	20.909865	4	9
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + phosphate	5928	3.6207268	32087.75139	33.069169	15.2954623	1982-1999 –> 2000-2009	6.8259076	3.2051809	54958.39140	55.680067	5	9
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	5928	3.6281799	32112.13137	2.394500	15.3724880	1982-1999 –> 2000-2009	6.8357324	3.2075525	54989.31595	5.701400	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate_star	5928	3.7856543	32615.86456	4.713316	16.8688392	1982-1999 –> 2000-2009	7.0371313	3.2514770	55613.39241	16.576396	7	14
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	5928	3.8070095	32680.55751	1.758845	17.3220736	1982-1999 –> 2000-2009	7.0590238	3.2520142	55677.54705	4.835396	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + phosphate_star	5928	3.9786673	33205.44181	759.917485	11.3721258	1982-1999 –> 2000-2009	7.3499264	3.3712591	56523.06316	1094.744334	14	23
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate	5928	3.8431366	32794.53579	2.667497	16.4709944	1982-1999 –> 2000-2009	7.4433099	3.6001734	56693.43271	9.111979	9	23
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	5799	3.4739760	30911.83574	54.109183	13.4729829	2000-2009 –> 2010-2019	7.0488971	3.5749211	62850.64035	152.821681	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	5799	3.4745908	30911.88812	33.438521	13.5369862	2000-2009 –> 2010-2019	7.0505728	3.5759819	62852.21051	85.707743	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + phosphate	5799	3.4905016	30966.87621	56.939660	13.4598626	2000-2009 –> 2010-2019	7.0839336	3.5934320	62966.91286	161.047145	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5799	3.4934002	30976.50366	8.016623	13.4840925	2000-2009 –> 2010-2019	7.0895089	3.5961087	62985.36828	16.408064	4	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	5799	3.4944080	30977.84879	2.031353	13.3289252	2000-2009 –> 2010-2019	7.1151348	3.6207268	63065.60018	4.099843	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	5799	3.4989634	30992.95867	2.398941	13.3545386	2000-2009 –> 2010-2019	7.1271433	3.6281799	63105.09004	4.793442	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate_star	5799	3.5849344	31274.48170	5.450764	15.1523230	2000-2009 –> 2010-2019	7.3705887	3.7856543	63890.34626	10.164080	7	14
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	5799	3.5985788	31316.54018	1.776682	15.8468936	2000-2009 –> 2010-2019	7.4055883	3.8070095	63997.09769	3.535528	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + phosphate	5799	3.5987418	31319.06563	3.006985	13.4131494	2000-2009 –> 2010-2019	7.4418784	3.8431366	64113.60142	5.674482	9	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + temp + oxygen	5799	3.6092109	31352.75626	2.985285	13.7445083	2000-2009 –> 2010-2019	7.4626692	3.8534583	64179.09182	5.613758	10	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + phosphate	6555	1.9650543	27470.34949	435.023312	12.2463413	1982-1999 –> 2000-2009	4.1104055	2.1453512	48863.95476	744.592335	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	6555	2.0046482	27731.87726	94.471224	12.9154213	1982-1999 –> 2000-2009	4.2178369	2.2131887	49430.50469	144.307018	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6555	2.0166453	27810.10182	4.770931	13.1770062	1982-1999 –> 2000-2009	4.2578529	2.2412077	49631.99317	9.902062	3	8
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate	6555	2.1154944	28435.45727	399.092263	10.7683052	1982-1999 –> 2000-2009	4.2610963	2.1456019	49828.20725	626.277469	5	7
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate	6555	2.0192552	27827.05771	99.791001	13.2167142	1982-1999 –> 2000-2009	4.2658616	2.2466064	49672.52243	155.128864	4	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	6555	2.2013849	28957.21028	90.609996	11.2013777	1982-1999 –> 2000-2009	4.4159785	2.2145936	50660.05518	138.114126	6	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	6555	2.2200391	29067.83470	4.555423	11.4407055	1982-1999 –> 2000-2009	4.4631669	2.2431277	50896.11647	9.387382	7	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + phosphate + phosphate_star	6555	2.2250920	29097.63929	3.661561	11.4607537	1982-1999 –> 2000-2009	4.4738551	2.2487631	50950.50569	7.844556	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + aou	6555	2.2374027	29169.97302	277.961409	14.2617916	1982-1999 –> 2000-2009	4.8838793	2.6464765	52618.43185	501.533359	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + aou	6555	2.2685793	29351.39030	1.489466	14.8531334	1982-1999 –> 2000-2009	4.9516694	2.6830901	52934.47363	4.723341	10	21
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + phosphate	7033	2.1629470	30822.30978	402.144678	14.3381198	2000-2009 –> 2010-2019	4.1280013	1.9650543	58292.65927	837.167990	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	7033	2.2176125	31173.39030	84.828710	12.6533455	2000-2009 –> 2010-2019	4.2222607	2.0046482	58905.26756	179.299934	3	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7033	2.2348197	31282.11151	6.198824	12.9646643	2000-2009 –> 2010-2019	4.2514649	2.0166453	59092.21333	10.969756	4	7
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	7033	2.2381045	31302.77099	6.201423	13.0121451	2000-2009 –> 2010-2019	4.2573597	2.0192552	59129.82870	10.973328	5	9
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + phosphate_star	7033	2.1946527	31025.00048	408.569874	14.7072943	2000-2009 –> 2010-2019	4.3101472	2.1154944	59460.45775	855.002428	2	7
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	7033	2.2710150	31506.10026	83.682952	12.3009156	2000-2009 –> 2010-2019	4.4723999	2.2013849	60463.31054	174.292948	6	12
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate_star	7033	2.2918928	31634.82084	6.076905	11.7247284	2000-2009 –> 2010-2019	4.5119320	2.2200391	60702.65554	10.632328	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + phosphate	7033	2.2963127	31661.92105	89.683036	11.7576887	2000-2009 –> 2010-2019	4.5214047	2.2250920	60759.56033	184.415561	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + aou	7033	2.3978230	32270.36812	209.414412	12.7632790	2000-2009 –> 2010-2019	4.6352258	2.2374027	61440.34114	487.375821	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + temp + aou	7033	2.4394757	32512.61121	1.779466	13.1350696	2000-2009 –> 2010-2019	4.7080550	2.2685793	61864.00151	3.268932	11	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3178	1.1280130	9796.40229	862.255458	5.7751254	1982-1999 –> 2000-2009	2.4705257	1.3425127	17878.90045	1640.338152	1	2
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + phosphate_star	3178	1.1356163	9837.10107	434.468601	5.6867626	1982-1999 –> 2000-2009	2.4806408	1.3450245	17926.40299	669.825692	2	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	3178	1.1402431	9864.94444	96.099107	5.7521375	1982-1999 –> 2000-2009	2.4839000	1.3436569	17951.45486	179.622386	3	5
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	3178	1.1443246	9885.65472	95.719684	5.6860001	1982-1999 –> 2000-2009	2.4897732	1.3454486	17976.44178	178.443449	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3178	1.1459244	9896.53439	3.610548	5.7235830	1982-1999 –> 2000-2009	2.4915635	1.3456391	17989.98833	12.177598	5	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3178	1.1472964	9904.13992	3.668049	5.7199646	1982-1999 –> 2000-2009	2.4935839	1.3462875	17999.86275	12.425148	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3178	1.1492052	9912.70612	1.850977	5.6666021	1982-1999 –> 2000-2009	2.4963553	1.3471500	18009.44553	4.437824	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + phosphate	3178	1.1504021	9919.32244	95.719035	5.6646208	1982-1999 –> 2000-2009	2.4981278	1.3477257	18018.07392	180.994249	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + oxygen	3178	1.7959299	12750.35705	3.043980	9.9132249	1982-1999 –> 2000-2009	3.6649868	1.8690569	22389.35159	10.916512	9	19
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	3178	1.7981402	12758.17479	2.988118	10.0261061	1982-1999 –> 2000-2009	3.6692464	1.8711062	22402.33062	10.692853	10	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + phosphate	3706	1.2997676	12472.49110	884.384739	10.2421304	2000-2009 –> 2010-2019	2.4277806	1.1280130	22268.89338	1746.640197	1	2
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + phosphate	3706	1.3052796	12501.85742	405.742169	9.7997526	2000-2009 –> 2010-2019	2.4408960	1.1356163	22338.95849	836.043379	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	3706	1.3076632	12517.38037	148.515218	8.6567455	2000-2009 –> 2010-2019	2.4479064	1.1402431	22382.32481	244.614325	3	6
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	3706	1.3098612	12527.82792	143.317309	8.4558383	2000-2009 –> 2010-2019	2.4541857	1.1443246	22413.48264	239.036993	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3706	1.3110432	12536.51356	4.390923	8.1872395	2000-2009 –> 2010-2019	2.4569676	1.1459244	22433.04795	8.001472	5	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3706	1.3117851	12540.70683	4.482048	8.0856105	2000-2009 –> 2010-2019	2.4590815	1.1472964	22444.84676	8.150097	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	3706	1.3125619	12543.09490	2.252297	8.0089265	2000-2009 –> 2010-2019	2.4617672	1.1492052	22455.80101	4.103274	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + phosphate_star	3706	1.3131689	12546.52135	2.253136	7.9162560	2000-2009 –> 2010-2019	2.4635710	1.1504021	22465.84378	4.136203	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + oxygen	3706	1.6504016	14240.72267	4.052978	14.2983366	2000-2009 –> 2010-2019	3.4463315	1.7959299	26991.07973	7.096958	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + aou	3706	1.6506362	14241.77603	3.931195	14.4213018	2000-2009 –> 2010-2019	3.4487764	1.7981402	26999.95082	6.919313	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	4190	1.0168070	12042.37671	4.613658	9.9774715	1982-1999 –> 2000-2009	2.2541023	1.2372954	21920.64088	11.212899	3	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4190	1.0165326	12040.11506	4.371531	10.0432457	1982-1999 –> 2000-2009	2.2560659	1.2395334	21929.30519	10.608174	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	4190	1.0163190	12038.35406	73.935117	10.3500332	1982-1999 –> 2000-2009	2.2661260	1.2498071	21977.44904	135.706140	1	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4190	1.0223830	12088.20591	838.063640	11.0778150	1982-1999 –> 2000-2009	2.2937536	1.2713707	22130.72613	1605.293584	4	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + phosphate_star	4190	1.0326037	12169.56463	3.490400	10.2797226	1982-1999 –> 2000-2009	2.3003490	1.2677453	22192.81964	6.586898	8	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	4190	1.0317019	12162.24308	3.501101	10.3396082	1982-1999 –> 2000-2009	2.3012807	1.2695788	22194.23611	6.609987	7	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	4190	1.0288225	12138.82178	72.897348	10.6120110	1982-1999 –> 2000-2009	2.3068839	1.2780614	22211.07655	134.471091	5	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	4190	1.0299139	12147.70674	593.623631	11.4405258	1982-1999 –> 2000-2009	2.3304252	1.3005114	22325.24132	934.494411	6	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	4190	1.9293116	17407.73294	63.195633	10.0725103	1982-1999 –> 2000-2009	3.6921983	1.7628867	29424.43088	118.508637	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate_star	4190	2.2401724	18659.61756	2.204660	9.5513379	1982-1999 –> 2000-2009	4.3688701	2.1286977	31816.33578	4.390279	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	5197	0.8680390	13289.50194	148.695417	4.2875985	2000-2009 –> 2010-2019	1.8843579	1.0163190	25327.85600	222.630535	3	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	5197	0.8640714	13241.88496	789.727778	4.8659149	2000-2009 –> 2010-2019	1.8864544	1.0223830	25330.09088	1627.791417	1	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5197	0.8703645	13317.31082	2.588319	4.3872338	2000-2009 –> 2010-2019	1.8868971	1.0165326	25357.42588	6.959850	5	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5197	0.8709545	13324.35400	2.982771	4.4138328	2000-2009 –> 2010-2019	1.8877614	1.0168070	25366.73071	7.596429	6	9
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + phosphate_star	5197	0.8641544	13240.88337	489.501936	4.8525865	2000-2009 –> 2010-2019	1.8940683	1.0299139	25388.59011	1014.452975	2	8
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	5197	0.8701736	13313.03116	143.386207	4.3640855	2000-2009 –> 2010-2019	1.8989961	1.0288225	25451.85294	216.283555	4	9
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	5197	0.8739024	13357.47495	2.463257	4.3564500	2000-2009 –> 2010-2019	1.9056043	1.0317019	25519.71803	5.964359	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + phosphate	5197	0.8748771	13369.06195	141.582507	4.3554806	2000-2009 –> 2010-2019	1.9074808	1.0326037	25538.62658	213.304353	8	16
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	5197	1.7413970	20523.87089	148.692242	14.3977603	2000-2009 –> 2010-2019	3.6707086	1.9293116	37931.60383	211.887875	17	26
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + temp + oxygen	5197	1.4800117	18833.41480	2.207778	14.3930013	2000-2009 –> 2010-2019	3.7545494	2.2745377	37620.60959	5.011559	9	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7889	1.0699408	23466.65714	16.124841	6.8218364	1982-1999 –> 2000-2009	2.3846484	1.3147076	43362.76801	28.213637	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7889	1.0701163	23469.24519	12.189186	6.8036976	1982-1999 –> 2000-2009	2.3890375	1.3189212	43402.94784	22.430664	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	7889	1.0714583	23489.01946	116.273599	6.7293154	1982-1999 –> 2000-2009	2.4066708	1.3352125	43566.94383	200.545441	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	7889	1.1533991	24649.74274	110.505877	8.3282790	1982-1999 –> 2000-2009	2.5926190	1.4392199	45606.89399	194.777718	4	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	7889	1.1630777	24781.58984	10.900058	8.4622533	1982-1999 –> 2000-2009	2.5978290	1.4347512	45702.20764	19.185992	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + phosphate	7889	1.1661829	24823.65793	113.205114	8.5013186	1982-1999 –> 2000-2009	2.5999803	1.4337974	45736.46283	199.008407	6	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	7889	1.3263465	26854.16394	73.134501	5.4655577	1982-1999 –> 2000-2009	2.8663744	1.5400279	48606.64636	127.914765	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	7889	1.4719724	28497.83869	5.032008	6.3531654	1982-1999 –> 2000-2009	3.2164075	1.7444351	51714.47729	8.875226	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + phosphate_star	7889	1.5029299	28826.22966	4.982984	6.4318817	1982-1999 –> 2000-2009	3.2939739	1.7910439	52352.63798	8.704254	9	18
Indo-Pacific	(27.95,28.05]	2	cstar_tref ~ aou + phosphate	7889	1.6149451	29958.42308	18.923392	7.5920127	1982-1999 –> 2000-2009	3.7127910	2.0978459	55340.33582	40.782844	10	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	9114	0.7164028	19797.14154	6.447422	6.1520626	2000-2009 –> 2010-2019	1.7863436	1.0699408	43263.79868	19.260661	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9114	0.7166585	19803.64719	6.472101	6.0774011	2000-2009 –> 2010-2019	1.7867748	1.0701163	43272.89238	18.661288	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	9114	0.7177836	19832.24124	140.242567	5.8211465	2000-2009 –> 2010-2019	1.7892419	1.0714583	43321.26071	256.516165	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	9114	0.8288477	22452.67224	138.260108	6.7822295	2000-2009 –> 2010-2019	1.9822468	1.1533991	47102.41498	248.765985	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	9114	0.8366239	22622.88964	6.163067	6.9862624	2000-2009 –> 2010-2019	1.9997016	1.1630777	47404.47949	17.063125	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + phosphate	9114	0.8395043	22685.53723	137.735768	7.0659644	2000-2009 –> 2010-2019	2.0056872	1.1661829	47509.19516	250.940882	6	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	9114	1.0382023	26557.79122	99.549092	5.3187687	2000-2009 –> 2010-2019	2.3645488	1.3263465	53411.95516	172.683593	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	9114	1.1546376	28495.35246	2.962955	6.2820539	2000-2009 –> 2010-2019	2.6266100	1.4719724	56993.19115	7.994963	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + phosphate_star	9114	1.1862060	28987.02505	2.883926	6.7515766	2000-2009 –> 2010-2019	2.6891360	1.5029299	57813.25471	7.866910	9	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + oxygen	9114	1.2201023	29500.59348	2.748774	11.5353103	2000-2009 –> 2010-2019	2.9588238	1.7387215	60626.20772	7.998199	10	24
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate	5300	0.6754981	10894.31628	120.096174	7.4336898	1982-1999 –> 2000-2009	1.5255658	0.8500677	20659.26310	239.150973	4	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5300	0.6749239	10885.30247	20.389447	7.4004814	1982-1999 –> 2000-2009	1.5264862	0.8515623	20663.88491	40.658045	3	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	5300	0.6723689	10845.09776	106.711872	7.2307291	1982-1999 –> 2000-2009	1.5313641	0.8589952	20691.13748	211.937470	1	5
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	5300	0.6738516	10866.44723	86.863919	6.9247345	1982-1999 –> 2000-2009	1.5577832	0.8839317	20932.60719	148.710095	2	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	5300	0.7075928	11384.35229	10.026157	8.5590370	1982-1999 –> 2000-2009	1.5635578	0.8559649	21200.96123	16.629619	5	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + phosphate	5300	0.7181495	11541.32609	69.224496	8.7112204	1982-1999 –> 2000-2009	1.5788842	0.8607347	21401.06809	111.403093	6	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	5300	0.9686410	14713.01989	12.286582	8.9697298	1982-1999 –> 2000-2009	2.0609272	1.0922862	26421.99524	20.046586	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	5300	1.0027074	15079.40823	100.387234	8.0972836	1982-1999 –> 2000-2009	2.2183307	1.2156233	27618.79365	204.477033	8	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	5300	1.0123790	15181.16019	14.661794	8.2444580	1982-1999 –> 2000-2009	2.2282875	1.2159085	27722.36633	30.377953	9	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + phosphate	5300	1.0157770	15216.67924	112.015344	8.2953052	1982-1999 –> 2000-2009	2.2319147	1.2161377	27759.34851	229.543870	10	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	7425	0.4849760	10336.94670	72.371894	6.1335384	2000-2009 –> 2010-2019	1.1573448	0.6723689	21182.04447	179.083765	1	2
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	7425	0.4864809	10380.95697	69.946817	6.1213276	2000-2009 –> 2010-2019	1.1603325	0.6738516	21247.40420	156.810736	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7425	0.4874677	10413.04883	7.302199	6.3128827	2000-2009 –> 2010-2019	1.1623917	0.6749239	21298.35129	27.691646	3	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate	7425	0.4880790	10431.65769	76.300334	6.3525096	2000-2009 –> 2010-2019	1.1635771	0.6754981	21325.97397	196.396508	4	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	7425	0.5454553	12080.14150	4.881878	6.0085367	2000-2009 –> 2010-2019	1.2530482	0.7075928	23464.49379	14.908036	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + phosphate + phosphate_star	7425	0.5600255	12471.60845	5.646543	5.9052570	2000-2009 –> 2010-2019	1.2781749	0.7181495	24012.93453	16.838787	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	7425	0.7508413	16825.80697	69.463191	7.9573683	2000-2009 –> 2010-2019	1.7535487	1.0027074	31905.21520	169.850425	7	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	7425	0.7572910	16952.82362	4.893967	8.0880119	2000-2009 –> 2010-2019	1.7696700	1.0123790	32133.98382	19.555761	8	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + phosphate	7425	0.7600083	17006.01306	73.681168	8.1463427	2000-2009 –> 2010-2019	1.7757854	1.0157770	32222.69230	185.696512	9	19
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	7425	0.8160407	18062.36568	5.341837	4.8983986	2000-2009 –> 2010-2019	1.7846818	0.9686410	32775.38557	17.628419	10	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	8032	0.7424525	18022.02720	41.401126	13.0071696	1982-1999 –> 2000-2009	1.3756480	0.6331955	32088.29938	82.240812	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + phosphate	8032	0.7459068	18096.59258	218.901724	13.0911499	1982-1999 –> 2000-2009	1.3821174	0.6362106	32232.26707	456.591264	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8032	0.7499884	18184.25475	8.101073	13.2179894	1982-1999 –> 2000-2009	1.3894048	0.6394164	32393.36375	16.082715	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate	8032	0.7512540	18211.33976	58.360629	13.2538083	1982-1999 –> 2000-2009	1.3921580	0.6409040	32454.39912	113.615312	4	8
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	8032	0.7832248	18878.82180	6.584754	12.9367881	1982-1999 –> 2000-2009	1.4481286	0.6649038	33656.98487	12.186936	6	11
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate	8032	0.7782497	18776.45844	38.032686	12.2796563	1982-1999 –> 2000-2009	1.4514940	0.6732443	33736.74719	72.523063	5	11
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + phosphate	8032	0.7949394	19117.31183	33.057028	12.8392294	1982-1999 –> 2000-2009	1.4783096	0.6833701	34295.70420	60.136286	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	8032	0.8746884	20653.05828	6.526329	11.8743062	1982-1999 –> 2000-2009	1.7350536	0.8603653	39196.43182	11.664979	8	20
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ sal + phosphate_star	8032	0.9107944	21300.83910	6.019770	11.3345015	1982-1999 –> 2000-2009	1.8512400	0.9404456	41142.45573	9.726114	9	25
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ oxygen + aou + phosphate	8032	1.2049114	25798.25493	217.444918	6.8761260	1982-1999 –> 2000-2009	2.0544798	0.8495684	44157.12456	453.238552	10	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	9882	0.6518730	19598.77581	35.876978	6.7933584	2000-2009 –> 2010-2019	1.3943255	0.7424525	37620.80301	77.278104	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	9882	0.6554803	19707.84453	148.621075	6.9963535	2000-2009 –> 2010-2019	1.4013871	0.7459068	37804.43711	367.522799	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9882	0.6568181	19748.13857	4.663974	7.0558598	2000-2009 –> 2010-2019	1.4068064	0.7499884	37932.39332	12.765047	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	9882	0.6576800	19774.05822	6.202109	7.1000690	2000-2009 –> 2010-2019	1.4089340	0.7512540	37985.39797	17.467728	4	8
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	9882	0.6668500	20045.72460	3.329937	6.7411253	2000-2009 –> 2010-2019	1.4500748	0.7832248	38924.54640	9.914692	5	11
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	9882	0.6780431	20374.71026	3.328570	6.5936673	2000-2009 –> 2010-2019	1.4729826	0.7949394	39492.02209	9.942314	6	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate	9882	0.7457933	22256.98656	34.651959	6.4319361	2000-2009 –> 2010-2019	1.5240431	0.7782497	41033.44500	72.684645	7	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	9882	0.7813971	23178.67882	3.214228	5.4306851	2000-2009 –> 2010-2019	1.6560854	0.8746884	43831.73710	9.740557	8	16
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ sal + phosphate_star	9882	0.8840601	25616.37899	3.027097	5.1125142	2000-2009 –> 2010-2019	1.7948545	0.9107944	46917.21810	9.046867	9	18
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ oxygen + aou + phosphate	9882	1.0577154	29162.88580	148.555305	12.7051733	2000-2009 –> 2010-2019	2.2626268	1.2049114	54961.14072	366.000223	11	21
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate	1143	0.7631723	2637.85282	35.825342	2.8260959	1982-1999 –> 2000-2009	1.2523158	0.4891435	4415.08167	84.431485	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1143	0.7637808	2639.67490	440.136703	2.7921283	1982-1999 –> 2000-2009	1.2536648	0.4898840	4420.69727	1032.320499	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1143	0.7650739	2643.54179	54.683803	2.7806320	1982-1999 –> 2000-2009	1.2550152	0.4899414	4424.85801	132.771250	4	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + oxygen + phosphate	1143	0.7657119	2643.44754	28.950855	2.7546980	1982-1999 –> 2000-2009	1.2558071	0.4900951	4423.55072	43.551917	5	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1143	0.7728768	2666.73842	27.151019	2.8323107	1982-1999 –> 2000-2009	1.2633667	0.4904899	4450.86096	73.456178	6	11
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate	1143	0.7822795	2692.38181	27.705510	3.8622154	1982-1999 –> 2000-2009	1.2991607	0.5168812	4605.94435	73.399890	8	19
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + oxygen + phosphate_star	1143	0.7851902	2700.87161	26.966758	3.8467851	1982-1999 –> 2000-2009	1.3003386	0.5151485	4606.01264	72.879572	9	17
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ oxygen + aou + phosphate	1143	0.7853398	2701.30724	228.851216	3.9048085	1982-1999 –> 2000-2009	1.3007537	0.5154139	4607.74021	560.747233	10	19
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ oxygen + phosphate_star	1143	0.7853685	2699.39061	7.851742	3.8890265	1982-1999 –> 2000-2009	1.3018603	0.5164919	4609.06367	17.033530	11	21
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate_star	1143	0.7924055	2721.78241	26.786990	3.8840054	1982-1999 –> 2000-2009	1.3067169	0.5143114	4622.84479	72.618924	13	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate	1624	0.3218704	938.75923	91.140600	1.5685882	2000-2009 –> 2010-2019	1.0850427	0.7631723	3576.61205	126.965941	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1624	0.3219441	939.50228	104.109950	1.5734376	2000-2009 –> 2010-2019	1.0857249	0.7637808	3579.17718	349.823913	3	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + phosphate	1624	0.3219329	939.39000	113.857282	1.5730468	2000-2009 –> 2010-2019	1.0870068	0.7650739	3582.93180	168.541084	2	6
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + phosphate + phosphate_star	1624	0.3226272	944.38700	59.722261	1.5249463	2000-2009 –> 2010-2019	1.0883391	0.7657119	3587.83454	77.868793	5	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1624	0.3220283	940.35201	63.757045	1.5797353	2000-2009 –> 2010-2019	1.0949051	0.7728768	3607.09043	90.908064	4	10
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate	1624	0.3394742	1109.71173	52.299979	1.7550411	2000-2009 –> 2010-2019	1.1034344	0.7639602	3747.92366	82.783211	11	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate	1624	0.3230640	948.78128	12.668671	1.5875244	2000-2009 –> 2010-2019	1.1053435	0.7822795	3641.16309	40.374181	9	17
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + oxygen + phosphate_star	1624	0.3230483	948.62354	8.131106	1.5921269	2000-2009 –> 2010-2019	1.1082385	0.7851902	3649.49515	35.097864	8	17
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ oxygen + aou + phosphate	1624	0.3230460	948.60069	96.504522	1.5930768	2000-2009 –> 2010-2019	1.1083858	0.7853398	3649.90794	325.355738	7	17
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ phosphate + phosphate_star	1624	0.3243702	959.88715	1.058841	1.5288554	2000-2009 –> 2010-2019	1.1097386	0.7853685	3659.27776	2.599505	10	21
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + phosphate_star	56	0.0015096	-558.61891	12.336862	0.0035473	1982-1999 –> 2000-2009	0.6934154	0.6919057	-206.11255	282.343912	9	10
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + aou	56	0.0035132	-464.01711	16.627819	0.0078569	1982-1999 –> 2000-2009	0.7592677	0.7557546	-82.73573	361.390885	12	14
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + oxygen	56	0.0034653	-465.55404	1.527106	0.0077508	1982-1999 –> 2000-2009	0.7599368	0.7564715	-83.96355	518.733292	11	14
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + phosphate	56	0.0009699	-608.17550	6.220332	0.0027957	1982-1999 –> 2000-2009	0.7831524	0.7821825	-215.68903	178.055970	4	8
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + phosphate	56	0.0009764	-607.41840	8.778050	0.0028090	1982-1999 –> 2000-2009	0.8167139	0.8157375	-201.23848	355.835739	5	11
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate	56	0.0014004	-569.03023	4.994846	0.0034185	1982-1999 –> 2000-2009	0.8215701	0.8201697	-163.08381	8.369175	7	14
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + phosphate_star	56	0.0008742	-619.80499	25.204242	0.0025419	1982-1999 –> 2000-2009	0.8223844	0.8215102	-211.32621	462.135733	3	11
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + oxygen + phosphate	56	0.0008521	-622.66736	3.067627	0.0024386	1982-1999 –> 2000-2009	0.8225829	0.8217307	-214.10106	939.284460	2	11
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + phosphate	56	0.0008477	-623.25869	33.821684	0.0024145	1982-1999 –> 2000-2009	0.8242377	0.8233901	-214.03475	657.593108	1	11
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ temp + phosphate_star	56	0.0240529	-250.55891	1.084057	0.0704139	1982-1999 –> 2000-2009	0.8503848	0.8263320	157.82772	225.249551	17	28

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	14.6463300	2845.8806
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	14.1539132	2993.2196
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	11.5390651	8235.7323
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	12.2547292	9116.5092
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	8.5522595	7828.7585
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	8.9700314	7707.5504
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	7.3071986	11167.1767
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	7.5777910	10886.8826
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	6.4657244	15461.7414
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	7.9912566	13722.3600
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.5720483	18095.4680
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.4339226	18599.5100
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	6.5256833	25033.2774
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	8.3832640	27753.0913
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	7.9363276	15616.0091
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	10.0932075	19300.4127
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	10.1066503	49145.1608
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	11.5045602	59676.2976
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	6.5703094	35901.5743
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.9074664	39254.8827
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	4.7140016	15007.4173
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	5.1299873	17016.8863
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	3.0249905	10204.5736
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	3.1245797	13759.4905
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.1929781	2909.6249
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.3023076	3848.3152
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.0926934	2689.3718
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.9917831	2120.1852
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	25.6130882	46339.8665
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	25.4739625	69547.3794
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	20.6748035	40407.5923
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	24.0130084	46709.0272
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	17.8103517	35199.9906
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	20.4407095	38889.4843
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	12.0252378	39496.0292
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.7153701	46729.2189
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.4159687	46591.6195
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.7890430	54225.8878
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.9669722	55371.3927
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.2195915	63400.5959
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	4.4301602	50548.6765
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	4.4018251	60011.0296
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.7238703	18854.2253
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.6507264	23319.4229
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.6370055	23812.2262
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.2576878	27883.3105
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.8060332	47539.2322
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.1989114	50071.8650
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.8023101	23507.1426
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.4258555	26156.8479
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.5558034	35535.3778
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.5772120	41650.3141
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.2789000	4518.6654
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.0976159	3628.1414
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.7953646	-143.4457

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
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
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	oxygen	phosphate	phosphate_star	sal	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	6	3	6	7	5
(26,26.5]	7	4	6	4	6	6
(26.5,26.75]	7	4	5	5	6	6
(26.75,27]	6	2	5	6	8	5
(27,27.25]	7	5	5	5	7	5
(27.25,27.5]	7	2	7	5	7	6
(27.5,27.75]	7	2	6	5	8	6
(27.75,27.85]	10	2	4	4	5	6
(27.85,27.95]	7	3	4	4	10	6
(27.95,28.05]	8	3	5	4	9	5
(28.05,28.1]	7	2	7	5	7	6
(28.1,28.15]	7	3	7	5	7	5
(28.15,28.2]	7	2	7	6	6	6
(28.2, Inf]	7	2	5	7	6	7
total	101.00	42.00	76.00	71.00	99.00	80.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	6	7	3	5	7	5
(26,26.5]	7	3	4	7	6	6
(26.5,26.75]	6	3	5	5	8	5
(26.75,27]	6	2	5	6	8	5
(27,27.25]	7	4	6	5	7	5
(27.25,27.5]	7	1	7	6	7	6
(27.5,27.75]	8	1	7	6	6	6
(27.75,27.85]	8	3	4	5	7	7
(27.85,27.95]	7	4	4	4	9	6
(27.95,28.05]	8	3	4	5	8	6
(28.05,28.1]	7	3	6	5	7	6
(28.1,28.15]	7	3	6	6	7	5
(28.15,28.2]	7	3	7	5	6	6
(28.2, Inf]	7	2	5	7	6	7
total	98.00	42.00	73.00	77.00	99.00	81.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	7	3	5	6	6	7
(26,26.5]	8	2	6	6	5	6
(26.5,26.75]	5	2	5	5	10	5
(26.75,27]	6	4	3	5	7	8
(27,27.25]	5	4	6	5	6	6
(27.25,27.5]	5	2	5	6	9	5
(27.5,27.75]	8	4	6	3	6	7
(27.75,27.85]	7	4	4	5	6	8
(27.85,27.95]	8	2	5	7	6	6
(27.95,28.05]	7	2	6	5	6	6
(28.05,28.1]	6	3	6	4	7	7
(28.1,28.2]	6	4	6	4	9	4
(28.2,28.3]	6	6	5	5	5	6
(28.3, Inf]	4	2	5	3	6	8
total	88.00	44.00	73.00	69.00	94.00	89.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	3	5	6	6	7
(26,26.5]	8	3	6	5	5	6
(26.5,26.75]	5	4	5	2	10	6
(26.75,27]	7	4	5	4	7	7
(27,27.25]	5	3	5	4	8	8
(27.25,27.5]	4	2	5	5	10	6
(27.5,27.75]	8	5	4	4	6	7
(27.75,27.85]	7	4	5	4	6	8
(27.85,27.95]	7	3	6	5	6	7
(27.95,28.05]	6	4	4	5	7	7
(28.05,28.1]	6	2	6	5	7	7
(28.1,28.2]	6	1	6	7	9	4
(28.2,28.3]	6	3	8	5	6	5
total	82.00	41.00	70.00	61.00	93.00	85.00

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
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
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