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: dacc0a7

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 dacc0a7. 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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File	Version	Author	Date	Message
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Rmd	376ec48	Donghe-Zhu	2021-07-27	local rebuild
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html	780627d	Donghe-Zhu	2021-07-27	Build site.
html	e9838c9	Donghe-Zhu	2021-07-27	Build site.
html	2777f33	Donghe-Zhu	2021-07-27	Build site.
html	d19760f	Donghe-Zhu	2021-07-27	Build site.
html	cac5680	Donghe-Zhu	2021-07-23	Build site.
html	7bb279a	Donghe-Zhu	2021-07-23	Build site.
html	d52eac4	Donghe-Zhu	2021-07-23	Build site.
html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
html	419cb72	Donghe-Zhu	2021-07-22	Build site.
html	9447d10	Donghe-Zhu	2021-07-22	Build site.
html	639c9a0	Donghe-Zhu	2021-07-22	Build site.
html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
Rmd	573cc5d	Donghe-Zhu	2021-07-22	local rebuild
html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
Rmd	ec15bf2	Donghe-Zhu	2021-07-20	local rebuild
html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
html	db1e7b7	Donghe-Zhu	2021-07-19	Build site.
Rmd	38a8d51	Donghe-Zhu	2021-07-19	local rebuild
html	ff0575d	Donghe-Zhu	2021-07-19	Build site.
html	5d60eac	Donghe-Zhu	2021-07-19	Build site.
html	57d0420	Donghe-Zhu	2021-07-16	Build site.
html	c1be8f6	Donghe-Zhu	2021-07-16	1
html	26a7c15	Donghe-Zhu	2021-07-16	Build site.
html	046902b	Donghe-Zhu	2021-07-16	Build site.
html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
html	be6fff9	Donghe-Zhu	2021-07-15	Build site.
Rmd	b8bd687	Donghe-Zhu	2021-07-15	local rebuild
html	b473472	Donghe-Zhu	2021-07-15	Build site.
html	363270a	Donghe-Zhu	2021-07-15	Build site.
Rmd	bb00951	Donghe-Zhu	2021-07-15	local rebuild
html	8b75a03	Donghe-Zhu	2021-07-15	Build site.
Rmd	4f7d192	Donghe-Zhu	2021-07-15	local rebuild
html	294f8ca	Donghe-Zhu	2021-07-15	Build site.
html	a01e135	Donghe-Zhu	2021-07-07	Build site.
html	bc83ef2	Donghe-Zhu	2021-07-07	Build site.
Rmd	0a4ac57	Donghe-Zhu	2021-07-07	local rebuild
html	75e7b07	Donghe-Zhu	2021-07-06	Build site.
html	697aa6d	Donghe-Zhu	2021-07-06	Build site.
html	d52e2de	Donghe-Zhu	2021-07-06	Build site.
html	f2bde6b	Donghe-Zhu	2021-07-06	Build site.
html	1133f28	Donghe-Zhu	2021-07-06	Build site.
html	fe3a1cd	Donghe-Zhu	2021-07-06	Build site.
html	d9cdf15	Donghe-Zhu	2021-07-06	Build site.
html	ee4cd2d	Donghe-Zhu	2021-07-06	Build site.
html	93821c1	Donghe-Zhu	2021-07-05	Build site.
html	d44db8e	Donghe-Zhu	2021-07-05	Build site.
html	20b3436	Donghe-Zhu	2021-07-05	Build site.
html	d982ea5	Donghe-Zhu	2021-07-05	Build site.
html	7397e53	Donghe-Zhu	2021-07-05	Build site.
html	f2e4805	Donghe-Zhu	2021-07-05	Build site.
html	e2d011a	Donghe-Zhu	2021-07-05	Build site.
html	85e0349	Donghe-Zhu	2021-07-05	Build site.
html	6ee0146	Donghe-Zhu	2021-07-05	Build site.
html	a482a6b	Donghe-Zhu	2021-07-05	Build site.
html	f59f1b3	Donghe-Zhu	2021-07-05	Build site.
html	116bcab	Donghe-Zhu	2021-07-04	Build site.
html	cb1c8dc	Donghe-Zhu	2021-07-04	Build site.
html	c9bdd83	Donghe-Zhu	2021-07-04	Build site.
html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
html	90a9da5	Donghe-Zhu	2021-06-25	Build site.
html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
html	e7a5266	Donghe-Zhu	2021-06-24	Build site.
html	7c57720	Donghe-Zhu	2021-06-24	Build site.
html	b5b95a9	Donghe-Zhu	2021-06-24	Build site.
html	472aad4	Donghe-Zhu	2021-06-24	Build site.
Rmd	76ce72b	Donghe-Zhu	2021-06-24	local rebuild
html	d517836	Donghe-Zhu	2021-06-24	0
html	9221bfe	Donghe-Zhu	2021-06-24	Build site.
html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
html	256a616	Donghe-Zhu	2021-06-23	Build site.
html	00072e2	Donghe-Zhu	2021-06-23	Build site.
Rmd	71d2509	Donghe-Zhu	2021-06-23	local rebuild
html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
html	72c2f2e	Donghe-Zhu	2021-06-15	Build site.
html	d97dcb6	Donghe-Zhu	2021-06-08	1
html	25dda1d	Donghe-Zhu	2021-06-08	Build site.
html	bd2bcc3	Donghe-Zhu	2021-06-08	Build site.
html	e9b27d7	Donghe-Zhu	2021-06-07	Build site.
html	7ae0d4b	Donghe-Zhu	2021-06-07	Build site.
html	325391f	Donghe-Zhu	2021-06-07	Build site.
html	ed89970	Donghe-Zhu	2021-06-07	Build site.
html	df37958	Donghe-Zhu	2021-06-07	1
html	812bf63	Donghe-Zhu	2021-06-06	Build site.
html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
html	5d8fa90	Donghe-Zhu	2021-06-06	Build site.
html	dbe2a95	Donghe-Zhu	2021-05-28	Build site.
html	d50b039	Donghe-Zhu	2021-05-28	Build site.
html	441ebe5	Donghe-Zhu	2021-05-28	Build site.
html	6262ad3	Donghe-Zhu	2021-05-28	Build site.
html	a61aa77	Donghe-Zhu	2021-05-28	Build site.
html	b8dbce4	Donghe-Zhu	2021-05-28	Build site.
html	94a833e	Donghe-Zhu	2021-05-27	Build site.
html	5e0bd64	Donghe-Zhu	2021-05-27	Build site.
html	af1eadd	Donghe-Zhu	2021-05-27	Build site.
html	9179bfe	Donghe-Zhu	2021-05-27	Build site.
html	28cbe5e	Donghe-Zhu	2021-05-27	Build site.
html	a618f02	Donghe-Zhu	2021-05-27	Build site.
html	4623e38	Donghe-Zhu	2021-05-27	Build site.
html	b81bb49	Donghe-Zhu	2021-05-27	Build site.
html	951e188	Donghe-Zhu	2021-05-27	Build site.
html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
html	2705a04	Donghe-Zhu	2021-03-28	Build site.
html	cd5f759	Donghe-Zhu	2021-03-28	Build site.
Rmd	347fb44	Donghe-Zhu	2021-03-28	local rebuild
html	75dda4d	Donghe-Zhu	2021-03-27	Build site.
html	0b19f6e	Donghe-Zhu	2021-03-27	Build site.
html	e2704ca	Donghe-Zhu	2021-03-27	Build site.
Rmd	b1706de	Donghe-Zhu	2021-03-27	local rebuild
html	3061a0b	Donghe-Zhu	2021-03-27	Build site.
html	b883157	Donghe-Zhu	2021-03-27	Build site.
html	0c20513	Donghe-Zhu	2021-03-26	Build site.
html	d19654d	Donghe-Zhu	2021-03-26	Build site.
Rmd	921c9db	Donghe-Zhu	2021-03-26	local rebuild
html	6c53dbf	Donghe-Zhu	2021-03-25	Build site.
Rmd	195db95	Donghe-Zhu	2021-03-24	local rebuild
html	1914a11	Donghe-Zhu	2021-03-24	Build site.
Rmd	e32af14	Donghe-Zhu	2021-03-24	local rebuild
html	8be810e	Donghe-Zhu	2021-03-23	Build site.
Rmd	85274db	Donghe-Zhu	2021-03-23	local rebuild
html	bf19764	Donghe-Zhu	2021-03-22	Build site.
html	3ec9d3d	Donghe-Zhu	2021-03-22	Build site.
Rmd	073fa6a	Donghe-Zhu	2021-03-22	local rebuild
html	134ace1	Donghe-Zhu	2021-03-22	Build site.
html	f6d70a4	Donghe-Zhu	2021-03-22	Build site.
html	183443b	Donghe-Zhu	2021-03-21	Build site.
Rmd	adca794	Donghe-Zhu	2021-03-21	local rebuild
html	2e6976b	Donghe-Zhu	2021-03-21	Build site.
Rmd	4e7de35	Donghe-Zhu	2021-03-21	local rebuild
html	51a42bd	Donghe-Zhu	2021-03-16	Build site.
html	f745381	Donghe-Zhu	2021-03-16	Build site.
html	aecbf75	Donghe-Zhu	2021-03-14	Build site.
html	1b2a0c2	Donghe-Zhu	2021-03-14	Build site.
html	6733e48	Donghe-Zhu	2021-03-12	Build site.
html	ba71e6a	Donghe-Zhu	2021-03-12	Build site.
html	9dbf5bd	Donghe-Zhu	2021-03-11	Build site.
html	a49df30	Donghe-Zhu	2021-03-11	Build site.
html	b3348a5	Donghe-Zhu	2021-03-11	Build site.
Rmd	026c061	Donghe-Zhu	2021-03-11	local rebuild
html	1c24ff7	Donghe-Zhu	2021-03-10	Build site.
Rmd	dbd8ff8	Donghe-Zhu	2021-03-10	local rebuild
html	94ce5a8	Donghe-Zhu	2021-03-10	Build site.
html	db33928	Donghe-Zhu	2021-03-10	Build site.
html	3d1f470	Donghe-Zhu	2021-03-10	Build site.
html	9b7bc66	Donghe-Zhu	2021-03-10	Build site.
Rmd	498be1d	Donghe-Zhu	2021-03-10	local rebuild
html	4168b43	Donghe-Zhu	2021-03-10	Build site.
html	5365f80	Donghe-Zhu	2021-03-10	Build site.
html	2b6c392	Donghe-Zhu	2021-03-10	Build site.
html	9f58753	Donghe-Zhu	2021-03-10	Build site.
Rmd	e255177	Donghe-Zhu	2021-03-10	local rebuild
html	f2a7146	Donghe-Zhu	2021-03-10	Build site.
html	fd528ed	Donghe-Zhu	2021-03-10	Build site.
html	9d5a62c	Donghe-Zhu	2021-03-10	Build site.
Rmd	09b27ef	Donghe-Zhu	2021-03-10	local rebuild
html	5d1e70b	Donghe-Zhu	2021-03-10	Build site.
Rmd	6125b2d	Donghe-Zhu	2021-03-10	local rebuild
html	2093979	Donghe-Zhu	2021-03-10	Build site.
Rmd	558d285	Donghe-Zhu	2021-03-10	local rebuild
html	b865899	Donghe-Zhu	2021-03-10	Build site.
html	cc2a956	Donghe-Zhu	2021-03-10	Build site.
Rmd	2a633bd	Donghe-Zhu	2021-03-10	local rebuild
html	60689fb	Donghe-Zhu	2021-03-10	Build site.
html	9230b52	Donghe-Zhu	2021-03-10	Build site.
html	dba33c8	Donghe-Zhu	2021-03-09	Build site.
Rmd	6a60e02	Donghe-Zhu	2021-03-09	local rebuild
html	17f1c4a	Donghe-Zhu	2021-03-09	Build site.
Rmd	4a4a400	Donghe-Zhu	2021-03-09	local rebuild
html	c024d1a	Donghe-Zhu	2021-03-09	Build site.
Rmd	34744ec	Donghe-Zhu	2021-03-09	local rebuild
html	02f7242	Donghe-Zhu	2021-03-09	Build site.
html	6f50bc6	Donghe-Zhu	2021-03-09	Build site.
Rmd	88f0729	Donghe-Zhu	2021-03-09	local rebuild
html	1691156	Donghe-Zhu	2021-03-08	Build site.
html	c0ceaf8	Donghe-Zhu	2021-03-08	Build site.
html	058e0a1	Donghe-Zhu	2021-03-08	Build site.
html	112dea0	Donghe-Zhu	2021-03-08	Build site.
html	1843412	Donghe-Zhu	2021-03-08	Build site.
Rmd	d709f6c	Donghe-Zhu	2021-03-08	local rebuild
html	65b0cef	Donghe-Zhu	2021-03-07	Build site.
html	4083a6c	Donghe-Zhu	2021-03-07	Build site.
html	3fbbfa4	Donghe-Zhu	2021-03-07	Build site.
html	627c8fb	Donghe-Zhu	2021-03-07	Build site.
html	3607f4d	Donghe-Zhu	2021-03-07	Build site.
html	9ef3222	Donghe-Zhu	2021-03-05	Build site.
Rmd	2be54f9	Donghe-Zhu	2021-03-05	local rebuild
html	8c1e978	Donghe-Zhu	2021-03-05	Build site.
html	865f68c	Donghe-Zhu	2021-03-05	Build site.
html	ee69bc1	Donghe-Zhu	2021-03-05	Build site.
html	a79291f	Donghe-Zhu	2021-03-05	Build site.
html	e8c6f30	Donghe-Zhu	2021-03-04	Build site.
html	59288fe	Donghe-Zhu	2021-03-04	Build site.
html	731abc8	Donghe-Zhu	2021-03-04	Build site.
html	e2a5a33	Donghe-Zhu	2021-03-04	Build site.
html	c7892c1	Donghe-Zhu	2021-03-04	Build site.
html	924430b	Donghe-Zhu	2021-03-03	Build site.
html	0d0bca1	Donghe-Zhu	2021-03-03	Build site.
html	cb63c16	Donghe-Zhu	2021-03-03	Build site.
html	ffda45a	Donghe-Zhu	2021-03-03	Build site.
html	691ba81	Donghe-Zhu	2021-03-03	Build site.
html	c5e45a2	Donghe-Zhu	2021-03-03	Build site.
html	89c3e58	Donghe-Zhu	2021-03-03	Build site.
html	c407a50	Donghe-Zhu	2021-03-03	Build site.
html	c911669	Donghe-Zhu	2021-03-03	Build site.
Rmd	e1f9d21	Donghe-Zhu	2021-03-03	local rebuild
html	b71c719	Donghe-Zhu	2021-03-01	Build site.
html	13666ca	Donghe-Zhu	2021-03-01	Build site.
Rmd	c3195f4	Donghe-Zhu	2021-03-01	local rebuild
html	c6e60fe	Donghe-Zhu	2021-03-01	Build site.
Rmd	8ef147d	Donghe-Zhu	2021-03-01	local rebuild
html	7a388f7	Donghe-Zhu	2021-03-01	Build site.
html	799e913	Donghe-Zhu	2021-03-01	Build site.
Rmd	aa780a7	Donghe-Zhu	2021-03-01	local rebuild
html	66ff99f	Donghe-Zhu	2021-03-01	Build site.
html	ac9bb7a	Donghe-Zhu	2021-02-28	Build site.
html	efdc047	Donghe-Zhu	2021-02-28	Build site.
html	e9a7418	Donghe-Zhu	2021-02-28	Build site.
Rmd	eac1b0e	Donghe-Zhu	2021-02-28	local rebuild
html	e152917	Donghe-Zhu	2021-02-28	Build site.
html	feb991c	Donghe-Zhu	2021-02-27	Build site.
Rmd	4563314	Donghe-Zhu	2021-02-27	local rebuild
html	287123c	Donghe-Zhu	2021-02-27	Build site.
Rmd	764a9c2	Donghe-Zhu	2021-02-27	local rebuild
html	54d5b5b	Donghe-Zhu	2021-02-27	Build site.
Rmd	2e836bf	Donghe-Zhu	2021-02-27	local rebuild
html	330f064	Donghe-Zhu	2021-02-27	Build site.
Rmd	f360282	Donghe-Zhu	2021-02-27	local rebuild
html	adbc9bc	Donghe-Zhu	2021-02-27	Build site.
Rmd	a8a8f9c	Donghe-Zhu	2021-02-27	local rebuild
html	5937141	Donghe-Zhu	2021-02-27	Build site.
Rmd	5f0bfca	Donghe-Zhu	2021-02-27	local rebuild
html	4414bbf	Donghe-Zhu	2021-02-27	Build site.
html	a265efb	Donghe-Zhu	2021-02-27	Build site.
html	19edd1e	Donghe-Zhu	2021-02-27	Build site.
Rmd	1ae5bb4	Donghe-Zhu	2021-02-27	local rebuild
html	f20483f	Donghe-Zhu	2021-02-26	Build site.
html	6a2c7b3	Donghe-Zhu	2021-02-25	Build site.
html	02b976d	Donghe-Zhu	2021-02-24	Build site.
html	354c224	Donghe-Zhu	2021-02-24	Build site.
Rmd	d910d39	Donghe-Zhu	2021-02-24	local rebuild
html	1a0a88a	Donghe-Zhu	2021-02-24	Build site.
Rmd	663e891	Donghe-Zhu	2021-02-24	local rebuild
html	57f701e	Donghe-Zhu	2021-02-24	Build site.
html	06f3149	Donghe-Zhu	2021-02-16	Build site.
html	401eab3	Donghe-Zhu	2021-02-15	Build site.
html	e3bba84	Donghe-Zhu	2021-02-15	Build site.
html	5dce4b1	Donghe-Zhu	2021-02-15	Build site.
Rmd	35b0f2e	Donghe-Zhu	2021-02-15	local rebuild
html	4469a0c	Donghe-Zhu	2021-02-13	Build site.
Rmd	8186d57	Donghe-Zhu	2021-02-10	apply nr_obs
html	5ae6a69	Donghe-Zhu	2021-02-10	Build site.
Rmd	eeb6557	Donghe-Zhu	2021-02-10	local rebuild
html	05385dc	Donghe-Zhu	2021-02-10	Build site.
html	f791ae4	Donghe-Zhu	2021-02-09	Build site.
html	f71ae34	Donghe-Zhu	2021-02-09	Build site.
html	c011832	Donghe-Zhu	2021-02-09	Build site.
html	a145fa7	Donghe-Zhu	2021-02-09	Build site.
Rmd	37a41c8	Donghe-Zhu	2021-02-09	local rebuild
html	c344e42	Donghe-Zhu	2021-02-08	Build site.
Rmd	8f5fa79	Donghe-Zhu	2021-02-08	local rebuild
html	2f095d7	Donghe-Zhu	2021-02-07	Build site.
html	2305044	Donghe-Zhu	2021-02-07	Build site.
Rmd	c3638c1	Donghe-Zhu	2021-02-07	local rebuild
html	1fad5f1	Donghe-Zhu	2021-02-07	Build site.
html	ca03c39	Donghe-Zhu	2021-02-07	Build site.
html	e2ffc14	Donghe-Zhu	2021-02-05	Build site.
html	cd7c52c	Donghe-Zhu	2021-02-04	Build site.
Rmd	bcf91a8	jens-daniel-mueller	2021-02-04	separate MLR tables, added plot residuals vs location
html	bcf84f4	Donghe-Zhu	2021-02-02	Build site.
html	a518739	Donghe-Zhu	2021-02-01	Build site.
html	61666de	Donghe-Zhu	2021-01-31	Build site.
html	865b582	Donghe-Zhu	2021-01-31	Build site.
html	3e68089	Donghe-Zhu	2021-01-31	Build site.
html	ecf335c	Donghe-Zhu	2021-01-31	Build site.
html	a618965	Donghe-Zhu	2021-01-31	Build site.
html	59e006e	Donghe-Zhu	2021-01-31	Build site.
html	a1c8f87	Donghe-Zhu	2021-01-31	Build site.
html	ae5c18f	Donghe-Zhu	2021-01-31	Build site.
html	b50fe52	Donghe-Zhu	2021-01-31	Build site.
Rmd	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	b5bdcaf	Donghe-Zhu	2021-01-29	Build site.
Rmd	b234505	Donghe-Zhu	2021-01-29	MLR approach across all depth
html	442010d	Donghe-Zhu	2021-01-29	Build site.
Rmd	e67e7dd	Donghe-Zhu	2021-01-29	surface equilibrium approach across all latitudes irrespective of gamma
html	372adf5	Donghe-Zhu	2021-01-29	Build site.
html	af8788e	Donghe-Zhu	2021-01-29	Build site.
html	21c91c9	Donghe-Zhu	2021-01-29	Build site.
html	eded038	Donghe-Zhu	2021-01-29	Build site.
html	541d4dd	Donghe-Zhu	2021-01-29	Build site.
html	6a75576	Donghe-Zhu	2021-01-28	Build site.
html	16fba40	Donghe-Zhu	2021-01-28	Build site.
Rmd	aecf0c6	Donghe-Zhu	2021-01-28	diagnostic ploting
Rmd	a02684e	Donghe-Zhu	2021-01-28	error
Rmd	4584be9	Donghe-Zhu	2021-01-28	latest
html	12bc567	Donghe-Zhu	2021-01-27	Build site.
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, aou, nitrate, silicate

# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
# lm_rm_si <- lm_all %>%
#   filter(str_detect(lm_coeff, "silicate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
#   filter(str_detect(lm_coeff_filter, "silicate") &
#            str_detect(lm_coeff_filter, "nitrate")) %>%
#   select(-lm_coeff_filter)
# 
# lm_rm_ph <- lm_all %>%
#   filter(str_detect(lm_coeff, "phosphate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
#   filter(str_detect(lm_coeff_filter, "phosphate") &
#            str_detect(lm_coeff_filter, "oxygen")) %>%
#   select(-lm_coeff_filter)
# 
# lm_rm <- bind_rows(lm_rm_ph, lm_rm_si) %>%
#   unique()
# 
#  lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

• 26

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

Within each basin and slab, the following number of best linear regression models was selected:

• 10

The criterion used to select the best models was:

• rmse

The criterion was summed up for two adjacent eras, and the models with lowest summed values were selected.

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

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

5.3 VIF threshold

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

• 1000

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

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

# lm_all_fitted_wide_check <- lm_all_fitted_wide %>%
#   group_by(era, basin, gamma_slab) %>% 
#   count() 
#   filter(n < params_local$MLR_number)

# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide %>%
  select(basin, gamma_slab, n_predictors, model, era, nr_obs, rmse, aic, vif_max, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    rmse_lag = lag(rmse),
    aic_sum = aic + lag(aic),
    vif_max_sum = vif_max + lag(vif_max)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na() %>%
  filter(eras != "1982-1999 --> 2010-2019",
         eras != "1982-1999 --> 2008-2019")

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

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

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

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

5.4 RMSE tables

5.4.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	114	2.2437199	521.7728	135.143490	5.908305	1982-1999 –> 2000-2009	3.3806566	1.1369368	774.0533	276.736073	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	114	2.7654902	567.4437	84.588130	6.669285	1982-1999 –> 2000-2009	4.1282351	1.3627449	845.6233	93.727256	3	5
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	114	2.7852585	569.0677	35.965320	7.430635	1982-1999 –> 2000-2009	4.2829577	1.4976992	861.7894	52.069657	4	7
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	114	2.3956115	534.7076	21.038332	6.730417	1982-1999 –> 2000-2009	6.1224655	3.7268540	967.8210	140.749491	2	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + silicate	114	3.8974926	645.6740	45.830416	12.080948	1982-1999 –> 2000-2009	6.6301782	2.7326856	1031.0044	99.486405	7	11
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + silicate	114	4.0769893	653.9398	5.749747	12.708201	1982-1999 –> 2000-2009	7.0481684	2.9711791	1050.1560	9.440215	8	13
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + nitrate + silicate	114	3.6039078	625.8183	3.010524	10.220868	1982-1999 –> 2000-2009	7.4693203	3.8654126	1062.5533	11.524579	6	13
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	114	2.9994827	583.9623	8.252996	7.068819	1982-1999 –> 2000-2009	8.1419569	5.1424742	1064.6591	20.905927	5	16
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	114	5.3542285	716.0761	7.152066	14.064780	1982-1999 –> 2000-2009	9.4098975	4.0556691	1160.2105	11.161044	9	17
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + silicate	114	7.5527468	794.5138	4.007828	20.061646	1982-1999 –> 2000-2009	11.6546006	4.1018539	1240.3919	50.970836	11	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	58	0.7375296	143.2808	218.226307	2.707713	2000-2009 –> 2010-2019	2.9812495	2.2437199	665.0536	353.369797	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	58	0.7968470	150.2541	6.163668	2.715764	2000-2009 –> 2010-2019	3.5821055	2.7852585	719.3218	42.128988	2	6
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	58	1.1064551	188.3316	14.121315	3.821622	2000-2009 –> 2010-2019	3.8719453	2.7654902	755.7753	98.709445	4	7
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	58	2.0519285	259.9754	66.263357	7.497042	2000-2009 –> 2010-2019	4.4475400	2.3956115	794.6829	87.301689	7	9
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + silicate	58	1.0475282	181.9831	129.615937	3.660900	2000-2009 –> 2010-2019	4.9450208	3.8974926	827.6571	175.446353	3	10
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + silicate	58	1.1733802	193.1440	8.992897	4.099807	2000-2009 –> 2010-2019	5.2503695	4.0769893	847.0837	14.742644	5	13
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + nitrate + silicate	58	2.2857641	270.4941	9.624612	8.530495	2000-2009 –> 2010-2019	5.8896719	3.6039078	896.3124	12.635136	9	15
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	58	1.4449901	217.2968	6.087231	4.982718	2000-2009 –> 2010-2019	6.7992186	5.3542285	933.3729	13.239297	6	15
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	58	4.6553157	353.0060	5.124190	11.709641	2000-2009 –> 2010-2019	7.6547984	2.9994827	936.9683	13.377187	13	18
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + silicate	58	2.2850596	270.4584	66.092167	8.147722	2000-2009 –> 2010-2019	9.8378064	7.5527468	1064.9721	70.099996	8	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	324	4.9004826	1963.3604	50.347656	16.650256	1982-1999 –> 2000-2009	9.0351631	4.1346806	4707.8518	93.819281	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	324	5.0128859	1976.0558	8.961997	21.072089	1982-1999 –> 2000-2009	9.8171896	4.8043037	4862.9453	17.536605	2	5
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	324	5.2088438	2000.9041	50.113670	11.647754	1982-1999 –> 2000-2009	10.0133630	4.8045192	4887.8368	93.511226	3	7
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	324	5.5828074	2045.8324	9.266645	12.732781	1982-1999 –> 2000-2009	10.3739130	4.7911056	4930.0756	17.895597	5	7
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	324	5.3165142	2012.1621	4.091367	19.316571	1982-1999 –> 2000-2009	10.6300180	5.3135039	4993.9629	8.325740	4	9
Atlantic	(26,26.5]	3	cstar_tref ~ temp + nitrate + silicate	324	5.9594455	2086.1375	2.345431	12.434870	1982-1999 –> 2000-2009	11.4053853	5.4459398	5091.6217	4.225532	6	12
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	324	6.0849418	2101.6417	49.693361	13.168068	1982-1999 –> 2000-2009	11.6186694	5.5337276	5124.5095	89.894274	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + nitrate + silicate	324	6.5767573	2150.0073	2.229876	14.257222	1982-1999 –> 2000-2009	12.3430263	5.7662690	5210.4744	4.003407	9	17
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	324	6.3358171	2125.8219	4.111121	21.018334	1982-1999 –> 2000-2009	12.8504881	6.5146710	5303.6834	8.292549	8	19
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + silicate	324	7.3489970	2221.9495	39.238476	20.871796	1982-1999 –> 2000-2009	13.1384948	5.7894978	5286.2842	63.622773	10	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	396	4.2314643	2280.2974	69.137731	16.401666	2000-2009 –> 2010-2019	9.1319469	4.9004826	4243.6578	119.485388	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	396	4.4540275	2318.8958	66.619109	17.425868	2000-2009 –> 2010-2019	9.6628713	5.2088438	4319.7999	116.732778	3	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	396	4.2407115	2280.0263	9.180306	17.491812	2000-2009 –> 2010-2019	9.8235189	5.5828074	4325.8588	18.446951	2	7
Atlantic	(26,26.5]	3	cstar_tref ~ temp + nitrate + silicate	396	4.4982953	2324.7285	4.803919	18.695522	2000-2009 –> 2010-2019	10.4577408	5.9594455	4410.8661	7.149350	4	10
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	396	4.5686859	2339.0260	59.846692	20.431228	2000-2009 –> 2010-2019	10.6536277	6.0849418	4440.6677	109.540052	5	12
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	396	5.7489283	2521.0180	8.030113	20.898089	2000-2009 –> 2010-2019	10.7618143	5.0128859	4497.0738	16.992110	9	11
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	396	5.8142795	2527.9703	3.964918	20.775492	2000-2009 –> 2010-2019	11.1307937	5.3165142	4540.1324	8.056285	10	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + nitrate + silicate	396	4.5710558	2337.4367	3.668581	20.304068	2000-2009 –> 2010-2019	11.1478130	6.5767573	4487.4440	5.898457	7	16
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + silicate	396	4.5706721	2337.3702	24.525173	20.287306	2000-2009 –> 2010-2019	11.9196691	7.3489970	4559.3198	63.763649	6	16
Atlantic	(26,26.5]	2	cstar_tref ~ nitrate + silicate	396	4.5713181	2335.4822	2.080043	20.271747	2000-2009 –> 2010-2019	11.9669249	7.3956068	4559.5286	4.187429	8	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	539	3.2557735	2816.1191	66.069493	10.626683	1982-1999 –> 2000-2009	6.8695677	3.6137943	6755.8869	112.559364	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	539	3.2755649	2820.6523	29.606790	10.413080	1982-1999 –> 2000-2009	6.9502886	3.6747237	6782.6970	68.349767	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	539	3.5945118	2920.8178	29.138178	11.863508	1982-1999 –> 2000-2009	7.2804224	3.6859105	6887.2761	68.274377	3	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	539	5.4227808	3364.0920	66.011115	14.190306	1982-1999 –> 2000-2009	9.5972519	4.1744711	7511.2808	111.901201	7	11
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	539	5.4323540	3363.9934	16.831186	14.162468	1982-1999 –> 2000-2009	9.6410366	4.2086826	7521.0334	40.571846	8	13
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	539	5.5993404	3396.6311	16.616346	14.383256	1982-1999 –> 2000-2009	9.8848410	4.2855006	7579.9346	40.465134	9	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + silicate	539	4.9971060	3275.9657	65.239420	12.050796	1982-1999 –> 2000-2009	11.5994164	6.6023105	8088.7978	111.698471	4	11
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + silicate	539	4.9974288	3274.0353	2.426763	12.026069	1982-1999 –> 2000-2009	11.6058363	6.6084075	8086.2077	5.002520	5	13
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + nitrate + silicate	539	5.3679525	3351.1371	2.352913	14.009849	1982-1999 –> 2000-2009	12.0270902	6.6591377	8174.4134	4.906595	6	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	539	8.7935893	3883.2125	65.175788	16.224468	1982-1999 –> 2000-2009	17.2678560	8.4742667	9056.4848	110.691758	10	20
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	589	4.7611868	3523.7750	43.100945	15.863662	2000-2009 –> 2010-2019	8.0169603	3.2557735	6339.8942	109.170437	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	589	4.8126428	3534.4378	42.482400	15.568087	2000-2009 –> 2010-2019	8.0882076	3.2755649	6355.0901	72.089191	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	589	4.8648423	3547.1460	40.462829	15.839545	2000-2009 –> 2010-2019	8.4593541	3.5945118	6467.9638	69.601007	3	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	589	5.6260579	3718.3974	22.729992	21.880724	2000-2009 –> 2010-2019	11.0488387	5.4227808	7082.4894	88.741106	4	11
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	589	5.6270639	3716.6080	15.558674	21.397696	2000-2009 –> 2010-2019	11.0594179	5.4323540	7080.6014	32.389860	5	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + silicate	589	6.1265861	3818.7968	23.198943	21.131962	2000-2009 –> 2010-2019	11.1236920	4.9971060	7094.7624	88.438363	7	11
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + silicate	589	6.2546080	3841.1588	2.368246	23.326969	2000-2009 –> 2010-2019	11.2520368	4.9974288	7115.1941	4.795009	9	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + nitrate + silicate	589	6.1266283	3816.8049	2.377085	21.121934	2000-2009 –> 2010-2019	11.4945808	5.3679525	7167.9420	4.729999	8	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	589	5.9648308	3785.2770	15.623949	27.643391	2000-2009 –> 2010-2019	11.5641711	5.5993404	7181.9082	32.240295	6	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	589	9.9641853	4389.7283	22.729549	24.062477	2000-2009 –> 2010-2019	18.7577746	8.7935893	8272.9408	87.905337	12	22
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	896	3.9977103	5039.9513	78.056410	30.203424	1982-1999 –> 2000-2009	7.4095853	3.4118750	12151.0611	142.446494	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	896	3.9997393	5038.8606	76.763028	30.026910	1982-1999 –> 2000-2009	7.4216509	3.4219116	12155.8484	134.520863	2	4
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	896	4.5034165	5251.4046	75.145173	33.036302	1982-1999 –> 2000-2009	8.3120162	3.8085997	12655.5333	131.574692	3	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	896	4.9131724	5407.4582	43.761488	13.870349	1982-1999 –> 2000-2009	8.5617989	3.6486265	12696.5002	90.804331	6	9
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	896	4.9246279	5409.6315	38.089666	13.854653	1982-1999 –> 2000-2009	8.5800978	3.6554699	12701.6992	64.876201	7	11
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	896	5.4838722	5602.3840	36.622523	13.464483	1982-1999 –> 2000-2009	9.5107179	4.0268457	13153.9585	62.687688	9	15
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + silicate	896	4.6511045	5309.2295	42.698249	39.865984	1982-1999 –> 2000-2009	11.8343264	7.1832219	14415.0508	85.214660	4	11
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + silicate	896	4.6560076	5309.1176	4.628511	40.290081	1982-1999 –> 2000-2009	12.0508445	7.3948369	14490.8082	11.403194	5	13
Atlantic	(26.75,27]	3	cstar_tref ~ temp + nitrate + silicate	896	5.3237381	5549.2767	4.635077	45.582134	1982-1999 –> 2000-2009	13.4706934	8.1469553	14990.7518	11.239231	8	17
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + nitrate	896	6.6659570	5952.1861	39.703620	20.512269	1982-1999 –> 2000-2009	15.3695318	8.7035748	15570.9134	80.714209	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1106	5.4729455	6912.6872	70.712077	31.197678	2000-2009 –> 2010-2019	9.4706558	3.9977103	11952.6384	148.768487	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	1106	5.4784590	6912.9144	64.805452	30.856001	2000-2009 –> 2010-2019	9.4781984	3.9997393	11951.7750	141.568480	2	4
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	1106	5.9873204	7109.3845	65.241323	28.314988	2000-2009 –> 2010-2019	10.4907369	4.5034165	12360.7891	140.386496	3	6
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1106	6.1275814	7160.6059	43.400985	16.896662	2000-2009 –> 2010-2019	11.0407538	4.9131724	12568.0641	87.162474	4	10
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1106	6.1346857	7161.1690	37.913063	16.758135	2000-2009 –> 2010-2019	11.0593136	4.9246279	12570.8006	76.002729	5	12
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + silicate	1106	6.6844995	7353.0305	27.581267	53.170465	2000-2009 –> 2010-2019	11.3356040	4.6511045	12662.2600	70.279516	7	11
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + silicate	1106	6.8237210	7396.6277	4.912832	53.466663	2000-2009 –> 2010-2019	11.4797286	4.6560076	12705.7453	9.541343	8	13
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	1106	6.5671151	7311.8411	39.276425	15.118742	2000-2009 –> 2010-2019	12.0509872	5.4838722	12914.2251	75.898948	6	15
Atlantic	(26.75,27]	3	cstar_tref ~ temp + nitrate + silicate	1106	7.5380386	7616.8480	4.823331	53.987491	2000-2009 –> 2010-2019	12.8617767	5.3237381	13166.1247	9.458408	9	17
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + nitrate	1106	8.2861914	7826.1661	27.334079	29.812987	2000-2009 –> 2010-2019	14.9521484	6.6659570	13778.3522	67.037699	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1339	3.3748940	7071.3399	96.317306	17.369318	1982-1999 –> 2000-2009	5.7509300	2.3760360	14637.4740	211.938845	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1339	3.3855039	7077.7458	44.059491	15.605146	1982-1999 –> 2000-2009	5.7884124	2.4029084	14679.0602	64.837394	2	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1339	3.4047804	7092.9506	91.657169	17.465652	1982-1999 –> 2000-2009	5.7887875	2.3840071	14668.1571	202.572677	3	5
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1339	3.4085569	7093.9194	14.888979	16.365527	1982-1999 –> 2000-2009	5.8152684	2.4067115	14698.4620	33.032989	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1339	4.7433583	7980.8816	90.272270	20.977758	1982-1999 –> 2000-2009	8.3108645	3.5675061	16888.6840	200.777309	5	10
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1339	4.7921155	8006.2683	14.888137	22.699097	1982-1999 –> 2000-2009	8.3656506	3.5735351	16917.6530	33.142394	6	12
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + silicate	1339	5.6040179	8427.4071	45.405346	47.925111	1982-1999 –> 2000-2009	10.7769302	5.1729123	18563.6167	66.558294	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + silicate	1339	5.7728210	8504.8822	5.329445	50.187300	1982-1999 –> 2000-2009	11.0560158	5.2831947	18708.8324	11.054514	8	16
Atlantic	(27,27.25]	3	cstar_tref ~ temp + nitrate + silicate	1339	7.1305764	9070.5594	5.223629	55.458818	1982-1999 –> 2000-2009	13.3577489	6.2271725	19817.9875	10.701712	9	18
Atlantic	(27,27.25]	3	cstar_tref ~ sal + temp + nitrate	1339	9.0618391	9712.4224	44.056331	36.166477	1982-1999 –> 2000-2009	18.3131988	9.2513598	21768.5246	64.824792	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1533	3.3207907	8044.2877	123.133310	23.778593	2000-2009 –> 2010-2019	6.6956846	3.3748940	15115.6276	219.450615	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1533	3.3720839	8089.2833	43.376611	19.403668	2000-2009 –> 2010-2019	6.7575878	3.3855039	15167.0291	87.436102	2	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1533	3.5871287	8278.8270	123.118683	26.535330	2000-2009 –> 2010-2019	6.9919091	3.4047804	15371.7776	214.775852	3	6
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1533	3.6207977	8305.4704	16.002049	22.778098	2000-2009 –> 2010-2019	7.0293546	3.4085569	15399.3898	30.891028	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1533	5.2964028	9473.5730	122.094669	30.088190	2000-2009 –> 2010-2019	10.0397611	4.7433583	17454.4545	212.366939	7	12
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1533	5.2964113	9471.5779	16.135050	30.162242	2000-2009 –> 2010-2019	10.0885268	4.7921155	17477.8462	31.023187	8	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + silicate	1533	4.8745498	9219.0947	44.229104	52.132130	2000-2009 –> 2010-2019	10.4785677	5.6040179	17646.5017	89.634450	5	12
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + silicate	1533	5.0367582	9317.4598	4.956447	54.458956	2000-2009 –> 2010-2019	10.8095792	5.7728210	17822.3420	10.285891	6	14
Atlantic	(27,27.25]	3	cstar_tref ~ temp + nitrate + silicate	1533	6.4809853	10090.4288	4.763605	60.016812	2000-2009 –> 2010-2019	13.6115617	7.1305764	19160.9882	9.987234	9	18
Atlantic	(27,27.25]	3	cstar_tref ~ sal + temp + nitrate	1533	8.7243104	11001.7693	42.135676	43.347428	2000-2009 –> 2010-2019	17.7861494	9.0618391	20714.1917	86.192007	10	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2283	4.5006852	13361.1860	37.332085	16.914506	1982-1999 –> 2000-2009	7.1941342	2.6934489	25501.1035	106.025877	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2283	4.5311172	13389.9556	37.257787	17.165748	1982-1999 –> 2000-2009	7.2246696	2.6935525	25528.0666	68.274207	2	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2283	4.6016307	13460.4647	35.809773	17.671647	1982-1999 –> 2000-2009	7.6275459	3.0259152	26184.0623	104.328435	3	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2283	4.6268037	13483.3748	6.654390	18.824313	1982-1999 –> 2000-2009	7.6533165	3.0265128	26205.9659	16.669491	4	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2283	4.8909955	13738.9228	35.815672	19.220554	1982-1999 –> 2000-2009	7.8400155	2.9490200	26332.9932	104.482480	5	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	2283	4.9267859	13770.2134	6.603820	19.530231	1982-1999 –> 2000-2009	7.8773999	2.9506140	26365.0030	16.616159	6	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	2283	8.1314601	16060.0245	37.262511	32.789395	1982-1999 –> 2000-2009	14.9048762	6.7734161	32838.3671	68.204198	7	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + silicate	2283	8.1587555	16073.3258	5.717351	32.733989	1982-1999 –> 2000-2009	14.9913193	6.8325637	32893.4187	11.261030	8	16
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + silicate	2283	8.3048253	16154.3498	5.722541	32.664229	1982-1999 –> 2000-2009	15.2063246	6.9014992	33024.9575	11.306784	9	18
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + temp + nitrate	2283	10.4736771	17213.7917	37.249115	35.789726	1982-1999 –> 2000-2009	21.5251146	11.0514376	36453.5749	68.189980	10	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2414	3.9673259	13518.0648	45.519501	24.833379	2000-2009 –> 2010-2019	8.4680111	4.5006852	26879.2508	82.851586	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2414	4.0231354	13583.5084	45.109749	22.885171	2000-2009 –> 2010-2019	8.5542526	4.5311172	26973.4641	82.367537	3	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2414	3.9684172	13517.3927	41.592971	25.072112	2000-2009 –> 2010-2019	8.5700479	4.6016307	26977.8574	77.402744	2	5
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2414	4.0262027	13585.1879	6.834031	23.246394	2000-2009 –> 2010-2019	8.6530064	4.6268037	27068.5627	13.488421	4	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2414	4.7946137	14430.4922	41.558417	16.489136	2000-2009 –> 2010-2019	9.6856092	4.8909955	28169.4150	77.374090	5	10
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	2414	4.8065603	14440.5070	6.725389	15.623809	2000-2009 –> 2010-2019	9.7333462	4.9267859	28210.7204	13.329209	6	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	2414	7.6261157	16671.0969	45.469949	38.953811	2000-2009 –> 2010-2019	15.7575758	8.1314601	32731.1214	82.732460	7	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + silicate	2414	7.6270898	16669.7135	5.460572	38.643889	2000-2009 –> 2010-2019	15.7858453	8.1587555	32743.0393	11.177924	8	16
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + silicate	2414	8.1046278	16962.9125	5.426541	32.237148	2000-2009 –> 2010-2019	16.4094531	8.3048253	33117.2623	11.149082	9	18
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + temp + nitrate	2414	11.9325898	18830.5667	44.914690	35.281855	2000-2009 –> 2010-2019	22.4062668	10.4736771	36044.3584	82.163805	10	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4346	2.2682625	19466.2845	26.565947	13.295971	1982-1999 –> 2000-2009	3.8981796	1.6299171	38802.9319	69.426216	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	4346	2.2987248	19580.2392	15.828609	12.335846	1982-1999 –> 2000-2009	3.9811315	1.6824067	39235.9691	31.571796	3	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	4346	2.2803854	19510.6159	26.155436	13.411941	1982-1999 –> 2000-2009	4.2488031	1.9684177	40756.8033	67.797824	2	5
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	4346	2.3161607	19643.9196	3.158853	12.385065	1982-1999 –> 2000-2009	4.3695367	2.0533761	41316.1530	8.431288	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	4346	3.5902691	23455.7641	25.956946	12.818851	1982-1999 –> 2000-2009	5.9932665	2.4029974	46722.7535	67.587611	5	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	4346	3.5927635	23459.8011	3.081380	12.985922	1982-1999 –> 2000-2009	5.9980943	2.4053307	46734.6219	8.423920	6	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + silicate	4346	5.9758149	27884.2801	16.353483	34.479657	1982-1999 –> 2000-2009	11.8740331	5.8982182	60247.3351	32.200390	7	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + silicate	4346	5.9805973	27889.2335	6.780352	34.023502	1982-1999 –> 2000-2009	11.8789848	5.8983875	60250.5792	12.996801	8	16
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + silicate	4346	6.6605284	28825.1739	6.420719	28.985572	1982-1999 –> 2000-2009	13.0630743	6.4025459	62017.3487	12.509718	9	18
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	4346	8.8525952	31298.1507	15.439086	35.601973	1982-1999 –> 2000-2009	18.9474606	10.0948654	69102.8308	31.017988	10	22
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4600	2.2161806	20389.4587	24.678747	20.039857	2000-2009 –> 2010-2019	4.4844431	2.2682625	39855.7432	51.244694	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	4600	2.2252752	20425.1360	24.578379	20.103971	2000-2009 –> 2010-2019	4.5056606	2.2803854	39935.7518	50.733815	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	4600	2.5164584	21556.4775	17.137369	16.664465	2000-2009 –> 2010-2019	4.8151831	2.2987248	41136.7167	32.965978	3	6
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	4600	2.5211199	21571.5041	3.114961	16.730824	2000-2009 –> 2010-2019	4.8372806	2.3161607	41215.4237	6.273814	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	4600	4.0774796	25996.6417	24.266518	16.664199	2000-2009 –> 2010-2019	7.6677486	3.5902691	49452.4058	50.223464	5	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	4600	4.1423608	26139.8804	3.182091	14.775762	2000-2009 –> 2010-2019	7.7351243	3.5927635	49599.6815	6.263471	6	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + silicate	4600	6.4383932	30199.2014	16.933906	33.739874	2000-2009 –> 2010-2019	12.4142081	5.9758149	58083.4815	33.287389	7	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + silicate	4600	6.5150013	30306.0227	6.877083	31.816839	2000-2009 –> 2010-2019	12.4955986	5.9805973	58195.2562	13.657436	8	16
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + silicate	4600	7.5649629	31680.6869	6.858052	28.024158	2000-2009 –> 2010-2019	14.2254913	6.6605284	60505.8608	13.278771	9	18
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + temp + nitrate	4600	10.2615938	34485.5896	16.772060	35.495635	2000-2009 –> 2010-2019	19.1141889	8.8525952	65783.7404	32.211146	10	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1746	1.1682299	5511.9033	25.471613	12.746379	1982-1999 –> 2000-2009	1.9531242	0.7848943	9780.9673	65.216020	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1746	1.1995277	5602.2256	24.620772	12.585357	1982-1999 –> 2000-2009	2.1096170	0.9100893	10404.4347	62.123972	2	5
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1746	1.3722588	6072.0052	22.063813	11.772827	1982-1999 –> 2000-2009	2.2719134	0.8996546	10832.5153	43.255071	3	5
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	1746	1.3963725	6130.8346	3.412304	11.626706	1982-1999 –> 2000-2009	2.4195550	1.0231826	11354.5876	8.556268	4	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	1746	1.8419468	7099.9275	24.073301	13.685035	1982-1999 –> 2000-2009	3.1307511	1.2888043	13160.2422	61.004079	5	10
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	1746	1.9187093	7240.5047	4.057284	12.905128	1982-1999 –> 2000-2009	3.2334240	1.3147146	13370.7951	10.140734	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + silicate	1746	4.0526907	9853.5719	18.993123	25.100822	1982-1999 –> 2000-2009	7.9425664	3.8898757	19908.3456	37.605277	7	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + silicate	1746	4.2467203	10014.8787	13.733601	25.495320	1982-1999 –> 2000-2009	8.2499582	4.0032378	20171.5267	23.669967	8	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + silicate	1746	4.7268818	10388.9373	23.838818	17.829593	1982-1999 –> 2000-2009	8.9447423	4.2178605	20734.4291	60.727468	10	19
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + silicate	1746	4.7137649	10379.2337	14.627387	23.513460	1982-1999 –> 2000-2009	9.1312076	4.4174427	20891.9039	25.349089	9	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1752	1.1468062	5465.9415	26.017183	5.116951	2000-2009 –> 2010-2019	2.3150361	1.1682299	10977.8448	51.488796	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1752	1.2203474	5681.7316	18.250832	5.859747	2000-2009 –> 2010-2019	2.4198751	1.1995277	11283.9572	42.871604	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1752	2.0002856	7413.2486	25.766676	8.816615	2000-2009 –> 2010-2019	3.3725444	1.3722588	13485.2538	47.830488	4	7
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	1752	2.0829144	7553.0839	4.210120	10.921117	2000-2009 –> 2010-2019	3.4792868	1.3963725	13683.9184	7.622424	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	1752	1.9548903	7332.8113	18.375426	7.674057	2000-2009 –> 2010-2019	3.7968372	1.8419468	14432.7388	42.448727	3	8
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	1752	2.3293832	7944.9554	5.259869	6.957632	2000-2009 –> 2010-2019	4.2480925	1.9187093	15185.4601	9.317153	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + silicate	1752	4.3892165	10166.9048	20.294686	19.317959	2000-2009 –> 2010-2019	8.4419072	4.0526907	20020.4768	39.287810	7	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + silicate	1752	4.7354166	10430.9248	13.833529	20.019397	2000-2009 –> 2010-2019	8.9821369	4.2467203	20445.8035	27.567130	8	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + silicate	1752	4.8551447	10518.4170	18.192813	12.138055	2000-2009 –> 2010-2019	9.5820265	4.7268818	20907.3543	42.031630	9	19
Atlantic	(27.75,27.85]	2	cstar_tref ~ aou + nitrate	1752	4.8650694	10523.5724	1.510919	12.442370	2000-2009 –> 2010-2019	9.7564582	4.8913888	21029.9729	3.228798	10	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1725	2.4726093	8032.5332	27.356277	24.592128	1982-1999 –> 2000-2009	3.1163915	0.6437822	11982.2361	64.198681	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	1725	2.4805146	8041.5457	15.794657	24.531230	1982-1999 –> 2000-2009	3.2177245	0.7372099	12534.2785	30.945961	2	4
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	1725	2.5078126	8079.3055	26.016115	24.130727	1982-1999 –> 2000-2009	3.3769921	0.8691795	13234.3693	59.764023	3	6
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	1725	2.5130226	8084.4654	5.945238	24.096469	1982-1999 –> 2000-2009	3.4485721	0.9355495	13533.4858	14.120972	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	1725	2.8730000	8548.3189	24.491838	26.565430	1982-1999 –> 2000-2009	4.1637813	1.2907813	15293.8958	57.304616	5	10
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	1725	2.8833101	8558.6774	8.154320	26.745100	1982-1999 –> 2000-2009	4.1742916	1.2909815	15302.8782	19.401553	6	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + silicate	1725	3.6654917	9388.7585	24.462546	23.866791	1982-1999 –> 2000-2009	6.7539322	3.0884405	19643.2030	40.815663	7	15
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + silicate	1725	3.9515203	9645.9843	24.366167	26.507008	1982-1999 –> 2000-2009	6.8404252	2.8889049	19629.8044	57.134306	11	18
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + silicate	1725	3.7972406	9508.5855	23.761120	24.965663	1982-1999 –> 2000-2009	7.0273760	3.2301353	19941.4480	38.781430	9	19
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + nitrate	1725	3.7053219	9424.0449	11.945489	23.680335	1982-1999 –> 2000-2009	7.3094371	3.6041152	20297.5266	22.795289	8	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1795	1.0568220	5306.3953	22.232325	8.390648	2000-2009 –> 2010-2019	3.5294313	2.4726093	13338.9285	49.588602	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	1795	1.2940931	6031.5277	19.178858	7.829815	2000-2009 –> 2010-2019	3.8019056	2.5078126	14110.8332	45.194973	2	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	1795	1.6662127	6938.8754	22.200890	8.401745	2000-2009 –> 2010-2019	4.1467273	2.4805146	14980.4211	37.995548	3	5
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	1795	1.8068627	7227.8048	7.150497	8.355237	2000-2009 –> 2010-2019	4.3198853	2.5130226	15312.2702	13.095736	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	1795	2.0262672	7641.2303	18.628956	11.285806	2000-2009 –> 2010-2019	4.8992672	2.8730000	16189.5492	43.120794	5	10
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	1795	2.1667513	7879.8813	9.715982	10.850621	2000-2009 –> 2010-2019	5.0500614	2.8833101	16438.5587	17.870302	6	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + silicate	1795	3.4907353	9593.8929	19.121630	13.014308	2000-2009 –> 2010-2019	7.1562270	3.6654917	18982.6514	43.584176	7	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + nitrate	1795	3.6510466	9753.0891	16.093584	11.872931	2000-2009 –> 2010-2019	7.3563685	3.7053219	19177.1341	28.039073	8	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + silicate	1795	3.6837837	9785.1354	19.121426	13.753529	2000-2009 –> 2010-2019	7.4810243	3.7972406	19293.7209	42.882546	9	18
Atlantic	(27.85,27.95]	2	cstar_tref ~ sal + nitrate	1795	3.8371111	9929.5333	1.417760	13.692108	2000-2009 –> 2010-2019	7.7020343	3.8649232	19497.0705	2.589835	11	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1893	4.2558135	10869.3118	30.298295	36.747303	1982-1999 –> 2000-2009	7.0499343	2.7941208	22513.7638	66.124485	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	1893	4.2683310	10878.4311	24.245066	39.595320	1982-1999 –> 2000-2009	7.1725866	2.9042556	22704.6709	54.372825	2	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	1893	4.3447413	10945.6074	22.497732	42.286898	1982-1999 –> 2000-2009	7.1790990	2.8343577	22656.0313	43.624876	3	5
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	1893	4.4085612	10998.8154	12.875103	51.531644	1982-1999 –> 2000-2009	7.3411844	2.9326233	22869.2651	29.784765	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	1893	4.4978786	11076.7531	22.823802	38.433313	1982-1999 –> 2000-2009	7.5614302	3.0635516	23156.8460	53.417318	5	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	1893	4.8719050	11377.1757	6.795075	53.471124	1982-1999 –> 2000-2009	7.9391685	3.0672635	23461.0250	16.254006	8	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + silicate	1893	4.8236558	11341.4938	17.916197	31.686294	1982-1999 –> 2000-2009	8.6795116	3.8558558	24515.0926	33.217595	6	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + silicate	1893	4.8458620	11356.8831	12.940362	29.453317	1982-1999 –> 2000-2009	8.7714643	3.9256023	24613.7060	23.929400	7	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + nitrate	1893	5.0365332	11502.9956	8.873684	40.217833	1982-1999 –> 2000-2009	9.0121564	3.9756232	24820.0123	15.576414	10	19
Atlantic	(27.95,28.05]	2	cstar_tref ~ sal + nitrate	1893	5.0488992	11510.2798	1.385536	43.426392	1982-1999 –> 2000-2009	9.2896750	4.2407758	25132.2372	2.504593	11	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2099	2.5939797	9972.2092	30.875683	18.705637	2000-2009 –> 2010-2019	6.8497932	4.2558135	20841.5210	61.173977	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	2099	2.7755598	10254.2425	27.213733	19.634968	2000-2009 –> 2010-2019	7.1203010	4.3447413	21199.8499	49.711465	2	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	2099	3.0853891	10698.4972	30.585953	20.928536	2000-2009 –> 2010-2019	7.3537201	4.2683310	21576.9283	54.831019	4	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	2099	3.0532600	10654.5530	22.784762	20.141880	2000-2009 –> 2010-2019	7.5511386	4.4978786	21731.3061	45.608564	3	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	2099	3.1448161	10776.5852	27.206204	21.320329	2000-2009 –> 2010-2019	7.5533773	4.4085612	21775.4006	40.081306	6	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	2099	3.1069443	10725.7235	15.044423	20.589148	2000-2009 –> 2010-2019	7.9788494	4.8719050	22102.8991	21.839497	5	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + silicate	2099	3.8945557	11676.2192	20.135255	25.049698	2000-2009 –> 2010-2019	8.7182115	4.8236558	23017.7130	38.051453	7	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + silicate	2099	3.9872785	11772.9952	19.978790	25.295449	2000-2009 –> 2010-2019	8.8331405	4.8458620	23129.8783	32.919152	9	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + nitrate	2099	3.8981575	11678.0998	14.880557	25.133760	2000-2009 –> 2010-2019	8.9346907	5.0365332	23181.0954	23.754240	8	18
Atlantic	(27.95,28.05]	2	cstar_tref ~ sal + nitrate	2099	3.9947277	11778.8307	2.289956	25.423391	2000-2009 –> 2010-2019	9.0436269	5.0488992	23289.1105	3.675492	10	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1044	0.5413749	1695.4565	53.782521	5.188537	1982-1999 –> 2000-2009	0.8971261	0.3557512	2699.9729	122.110321	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1044	0.5551042	1745.7481	53.133767	5.030969	1982-1999 –> 2000-2009	0.9188820	0.3637778	2805.6053	120.789543	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1044	0.6359478	2029.6340	53.583176	4.551091	1982-1999 –> 2000-2009	1.1139065	0.4779586	3791.0521	119.779264	3	6
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1044	0.6618800	2111.0867	53.036869	4.250029	1982-1999 –> 2000-2009	1.1681241	0.5062440	4018.2661	117.663035	4	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	1044	0.9838312	2940.7073	41.227390	6.846464	1982-1999 –> 2000-2009	1.6950791	0.7112479	5723.6924	85.154957	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	1044	1.0554172	3085.3622	37.474980	6.752742	1982-1999 –> 2000-2009	1.8414028	0.7859857	6123.1353	80.106813	6	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + silicate	1044	1.4815378	3795.4959	32.759929	12.198703	1982-1999 –> 2000-2009	2.7252890	1.2437512	8014.7672	60.484779	7	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + silicate	1044	1.4963842	3814.3155	27.238353	13.195821	1982-1999 –> 2000-2009	2.8006428	1.3042586	8153.6689	53.496576	8	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + silicate	1044	1.6922329	4071.1337	31.209208	19.152439	1982-1999 –> 2000-2009	2.9174166	1.2251837	8249.7491	68.646995	11	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + silicate	1044	1.5878159	3938.1502	25.148085	16.662250	1982-1999 –> 2000-2009	2.9555953	1.3677793	8399.7167	47.308745	9	19
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1181	0.6378032	2303.2812	99.364735	2.531099	2000-2009 –> 2010-2019	1.1791781	0.5413749	3998.7377	153.147256	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1181	0.6467930	2334.3411	94.700093	2.638262	2000-2009 –> 2010-2019	1.2018972	0.5551042	4080.0892	147.833860	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1181	0.7723308	2753.3283	89.283875	2.371523	2000-2009 –> 2010-2019	1.4082786	0.6359478	4782.9622	142.867051	3	6
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1181	0.7825800	2782.4669	88.838950	2.508349	2000-2009 –> 2010-2019	1.4444600	0.6618800	4893.5536	141.875819	4	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	1181	1.2323279	3856.9664	70.102402	5.562850	2000-2009 –> 2010-2019	2.2161591	0.9838312	6797.6737	111.329793	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	1181	1.2462247	3881.4533	69.585379	5.839349	2000-2009 –> 2010-2019	2.3016419	1.0554172	6966.8156	107.060360	6	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + silicate	1181	1.3465914	4066.4085	50.026247	5.279750	2000-2009 –> 2010-2019	2.8281292	1.4815378	7861.9044	82.786176	7	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + silicate	1181	1.3902427	4139.7606	30.250655	5.086943	2000-2009 –> 2010-2019	2.8866269	1.4963842	7954.0762	57.489007	9	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + silicate	1181	1.3489299	4068.5068	25.911262	5.603243	2000-2009 –> 2010-2019	2.9367458	1.5878159	8006.6570	51.059347	8	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + temp + nitrate	1181	1.5128229	4339.3474	41.398620	6.038620	2000-2009 –> 2010-2019	3.1988817	1.6860588	8402.8491	71.633828	10	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1610	0.5643692	2740.9922	83.278564	4.336217	1982-1999 –> 2000-2009	0.9907346	0.4263654	4569.9937	139.838676	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	1610	0.5820920	2838.5536	79.290537	4.130670	1982-1999 –> 2000-2009	1.0171613	0.4350693	4730.3039	135.476487	2	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1610	0.6326111	3106.5461	81.970627	6.729076	1982-1999 –> 2000-2009	1.1926034	0.5599922	5807.0423	137.978318	3	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1610	0.6341533	3112.3863	79.072703	6.520804	1982-1999 –> 2000-2009	1.1941741	0.5600208	5811.0458	134.871318	4	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + silicate	1610	0.9554520	4434.2442	76.211337	5.699898	1982-1999 –> 2000-2009	1.7714993	0.8160473	8341.2047	129.689613	5	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + silicate	1610	1.2517430	5303.9910	36.347623	12.850045	1982-1999 –> 2000-2009	2.4882141	1.2364711	10542.3557	64.040436	6	13
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + silicate	1610	1.2517535	5302.0181	27.925395	12.867811	1982-1999 –> 2000-2009	2.4882329	1.2364794	10538.4043	47.216127	7	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	1610	1.3160283	5463.2530	65.220106	6.331618	1982-1999 –> 2000-2009	2.5077824	1.1917541	10581.5978	114.750015	8	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + silicate	1610	1.3187538	5469.9147	24.528864	16.004856	1982-1999 –> 2000-2009	2.6447641	1.3260103	10930.2815	46.612492	9	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + silicate	1610	1.4718083	5823.4856	38.080404	19.338404	1982-1999 –> 2000-2009	2.8150774	1.3432691	11325.2852	80.367924	10	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1751	0.6315256	3373.5445	149.596245	3.598205	2000-2009 –> 2010-2019	1.1958948	0.5643692	6114.5367	232.874809	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1751	0.6477090	3460.1558	146.964768	3.869302	2000-2009 –> 2010-2019	1.2803201	0.6326111	6566.7019	228.935395	2	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	1751	0.7233726	3847.0672	123.141028	3.904807	2000-2009 –> 2010-2019	1.3054646	0.5820920	6685.6208	202.431565	3	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1751	0.7419543	3933.8890	121.396895	3.952232	2000-2009 –> 2010-2019	1.3761076	0.6341533	7046.2753	200.469598	4	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + silicate	1751	1.1659258	5518.7338	121.285751	5.569505	2000-2009 –> 2010-2019	2.1213778	0.9554520	9952.9780	197.497088	6	11
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + silicate	1751	1.1657264	5518.1348	42.837844	3.646952	2000-2009 –> 2010-2019	2.4174693	1.2517430	10822.1258	79.185468	5	11
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + silicate	1751	1.2406818	5734.3678	29.188792	5.109656	2000-2009 –> 2010-2019	2.4924353	1.2517535	11036.3858	57.114187	8	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + silicate	1751	1.1783048	5553.7196	29.047473	3.207968	2000-2009 –> 2010-2019	2.4970585	1.3187538	11023.6343	53.576337	7	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	1751	1.3692016	6079.5486	119.990438	6.019478	2000-2009 –> 2010-2019	2.6852299	1.3160283	11542.8016	185.210545	9	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + silicate	1751	1.5111118	6424.9083	41.541090	5.463827	2000-2009 –> 2010-2019	2.9829201	1.4718083	12248.3938	79.621494	12	22
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2861	0.8552690	7238.5933	157.355672	4.744130	1982-1999 –> 2000-2009	1.6283355	0.7730665	14224.2062	276.484555	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2861	0.9631933	7916.5849	106.711884	5.308287	1982-1999 –> 2000-2009	1.8483315	0.8851382	15712.7410	178.619823	2	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2861	0.9789386	8009.3657	118.785529	6.875823	1982-1999 –> 2000-2009	1.8637497	0.8848111	15803.3035	208.768020	3	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	2861	1.2793409	9540.7526	148.405506	13.608931	1982-1999 –> 2000-2009	2.4323056	1.1529647	18923.5261	266.887540	5	9
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + silicate	2861	1.2924719	9597.1831	22.275278	17.467879	1982-1999 –> 2000-2009	2.4872848	1.1948129	19191.9459	61.051397	6	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + silicate	2861	1.2268800	9301.1687	70.829494	22.966569	1982-1999 –> 2000-2009	2.6088920	1.3820120	19771.5271	128.697386	4	10
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + silicate	2861	1.3111737	9679.3861	23.042818	18.198708	1982-1999 –> 2000-2009	2.7853337	1.4741599	20535.1611	40.760915	7	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + silicate	2861	1.3330543	9774.0854	58.991443	20.724586	1982-1999 –> 2000-2009	2.8107780	1.4777237	20644.3529	105.123793	8	17
Atlantic	(28.15,28.2]	2	cstar_tref ~ nitrate + silicate	2861	1.3352268	9781.4033	10.983798	19.853820	1982-1999 –> 2000-2009	2.8206495	1.4854227	20680.8600	20.006921	9	19
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + temp + nitrate	2861	1.3874109	10002.7741	17.006591	28.408674	1982-1999 –> 2000-2009	2.9310114	1.5436006	21134.8177	30.899149	10	21
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3263	0.9255260	8768.9256	247.260051	4.045677	2000-2009 –> 2010-2019	1.7807950	0.8552690	16007.5190	404.615723	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	3263	0.9976126	9256.3940	155.852031	4.773660	2000-2009 –> 2010-2019	1.9608059	0.9631933	17172.9789	262.563915	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	3263	1.0861413	9811.2451	200.122690	4.162166	2000-2009 –> 2010-2019	2.0650799	0.9789386	17820.6109	318.908219	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + silicate	3263	1.1701119	10297.2235	82.602799	3.665478	2000-2009 –> 2010-2019	2.3969919	1.2268800	19598.3921	153.432292	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + silicate	3263	1.2664550	10811.5756	22.791017	4.313586	2000-2009 –> 2010-2019	2.5776288	1.3111737	20490.9617	45.833835	5	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	3263	1.3705865	11329.2412	233.928217	6.799269	2000-2009 –> 2010-2019	2.6499275	1.2793409	20869.9937	382.333723	7	12
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + silicate	3263	1.3957509	11445.9735	39.315393	6.261332	2000-2009 –> 2010-2019	2.6882228	1.2924719	21043.1566	61.590672	9	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + silicate	3263	1.3848345	11394.7321	66.900661	5.977839	2000-2009 –> 2010-2019	2.7178888	1.3330543	21168.8176	125.892103	8	16
Atlantic	(28.15,28.2]	2	cstar_tref ~ nitrate + silicate	3263	1.3959817	11445.0529	9.426224	6.204003	2000-2009 –> 2010-2019	2.7312086	1.3352268	21226.4562	20.410023	10	19
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + temp + nitrate	3263	1.3477450	11217.5653	21.347969	3.006985	2000-2009 –> 2010-2019	2.7351558	1.3874109	21220.3394	38.354560	6	16
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3547	1.2087616	11424.9463	54.932543	5.528690	1982-1999 –> 2000-2009	2.1951925	0.9864309	22228.6599	95.512241	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	3547	1.2161842	11466.3750	37.999616	5.486039	1982-1999 –> 2000-2009	2.2133070	0.9971228	22350.8623	71.686045	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	3547	1.2587360	11710.3363	15.142121	6.118665	1982-1999 –> 2000-2009	2.2647652	1.0060292	22663.0997	32.213460	3	6
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + silicate	3547	1.5128093	13012.6419	9.020644	11.517782	1982-1999 –> 2000-2009	2.6516646	1.1388553	24915.5732	20.677248	6	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	3547	1.3826584	12376.4629	14.040463	9.003410	1982-1999 –> 2000-2009	2.9533658	1.5707074	26749.8905	35.710235	4	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	3547	1.6184641	13493.5522	43.423713	8.445485	1982-1999 –> 2000-2009	3.4217227	1.8032586	28927.0753	81.341348	7	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + nitrate + silicate	3547	1.6197939	13497.3786	19.140341	8.969261	1982-1999 –> 2000-2009	3.4479710	1.8281771	29034.2746	43.050012	8	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + nitrate + silicate	3547	1.6311749	13547.0482	4.746916	10.477239	1982-1999 –> 2000-2009	3.5092734	1.8780985	29290.7933	10.742557	9	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	3547	1.4722087	12819.6524	11.995026	9.529282	1982-1999 –> 2000-2009	3.5688144	2.0966056	29408.4369	28.614620	5	16
Atlantic	(28.2, Inf]	2	cstar_tref ~ nitrate + silicate	3547	1.7066906	13866.0914	2.738647	13.564911	1982-1999 –> 2000-2009	3.5965498	1.8898592	29655.7665	5.927768	13	22
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5357	1.1740107	16935.3094	130.668328	7.419547	2000-2009 –> 2010-2019	2.3827722	1.2087616	28360.2557	185.600871	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	5357	1.1939317	17113.5831	111.872672	7.158516	2000-2009 –> 2010-2019	2.4101158	1.2161842	28579.9581	149.872287	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	5357	1.2446157	17559.0183	85.550237	9.334002	2000-2009 –> 2010-2019	2.5033517	1.2587360	29269.3546	100.692358	3	6
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + silicate	5357	1.3316295	18281.0331	11.358513	9.817736	2000-2009 –> 2010-2019	2.8444388	1.5128093	31293.6749	20.379157	4	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	5357	1.5014909	19569.3045	69.697518	10.926320	2000-2009 –> 2010-2019	2.8841493	1.3826584	31945.7674	83.737982	5	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	5357	1.5476457	19893.6850	52.789298	9.846753	2000-2009 –> 2010-2019	3.1661098	1.6184641	33387.2372	96.213012	6	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + nitrate + silicate	5357	1.5982609	20236.4746	9.321433	12.310832	2000-2009 –> 2010-2019	3.2294358	1.6311749	33783.5228	14.068348	8	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	5357	1.7619456	21281.1171	69.433753	15.121306	2000-2009 –> 2010-2019	3.2341543	1.4722087	34100.7694	81.428779	13	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	5357	1.5964618	20224.4072	18.057909	13.319494	2000-2009 –> 2010-2019	3.2756970	1.6792352	33977.4502	31.133971	7	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + nitrate + silicate	5357	1.6956187	20870.0106	45.838755	13.758336	2000-2009 –> 2010-2019	3.3154127	1.6197939	34367.3892	64.979096	9	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2482	6.2561418	16159.4209	11.841924	28.299194	1982-1999 –> 2000-2009	12.4105931	6.1544513	25040.3737	22.469471	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	2482	6.3422187	16225.2539	11.213615	27.237406	1982-1999 –> 2000-2009	12.5378422	6.1956235	25122.4758	21.252402	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	2482	8.0768504	17425.4168	11.840169	31.825788	1982-1999 –> 2000-2009	16.8969139	8.8200635	27290.3680	22.385451	3	6
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	2482	8.6971432	17790.7161	11.134925	30.320414	1982-1999 –> 2000-2009	19.8902121	11.1930689	28306.5152	21.067805	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	2482	11.0797795	18994.6354	5.878490	88.695742	1982-1999 –> 2000-2009	25.1078163	14.0280368	30131.0258	10.434560	5	10
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + nitrate	2482	11.2549488	19070.5014	3.886433	105.337681	1982-1999 –> 2000-2009	25.8876322	14.6326834	30320.5189	5.429992	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + silicate	2482	13.0928111	19823.3331	9.665730	43.131054	1982-1999 –> 2000-2009	29.7751443	16.6823332	31434.5445	18.372230	7	14
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + silicate	2482	13.1321390	19836.2216	8.946463	47.889458	1982-1999 –> 2000-2009	29.8841206	16.7519816	31456.8485	16.064982	8	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	2482	13.1435690	19840.5403	8.474901	47.406078	1982-1999 –> 2000-2009	30.2227484	17.0791794	31514.1686	15.502919	9	18
Indo-Pacific	(-Inf,26]	2	cstar_tref ~ aou + nitrate	2482	13.3005199	19897.4656	5.271346	58.391384	1982-1999 –> 2000-2009	31.2008118	17.9002919	31697.7558	11.650578	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3760	6.1514472	24345.9068	15.415739	34.434646	2000-2009 –> 2010-2019	12.4075890	6.2561418	40505.3278	27.257662	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	3760	6.1652085	24360.7109	13.840991	33.874349	2000-2009 –> 2010-2019	12.5074272	6.3422187	40585.9648	25.054606	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	3760	7.2778228	25608.3525	14.378115	38.251947	2000-2009 –> 2010-2019	15.3546732	8.0768504	43033.7693	26.218284	3	6
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	3760	7.5091655	25841.6728	13.446355	37.721911	2000-2009 –> 2010-2019	16.2063087	8.6971432	43632.3889	24.581280	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	3760	10.3727718	28273.0835	8.389422	75.589876	2000-2009 –> 2010-2019	21.4525513	11.0797795	47267.7189	14.267912	5	10
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + nitrate	3760	10.7738191	28556.3529	4.236131	105.792780	2000-2009 –> 2010-2019	22.0287678	11.2549488	47626.8543	8.122564	9	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + silicate	3760	10.5740874	28417.6340	12.275780	79.021734	2000-2009 –> 2010-2019	23.6668985	13.0928111	48240.9672	21.941510	6	13
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	3760	10.6767278	28488.2771	9.465981	82.243234	2000-2009 –> 2010-2019	23.8202969	13.1435690	48328.8174	17.940881	7	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + silicate	3760	10.7131558	28513.8910	12.269371	84.396076	2000-2009 –> 2010-2019	23.8452948	13.1321390	48350.1125	21.215834	8	16
Indo-Pacific	(-Inf,26]	2	cstar_tref ~ aou + nitrate	3760	11.1796287	28832.3990	7.516449	100.917101	2000-2009 –> 2010-2019	24.4801486	13.3005199	48729.8646	12.787795	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2511	3.8011109	13845.7526	14.529196	20.396035	1982-1999 –> 2000-2009	7.3714387	3.5703278	26009.6167	28.559162	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2511	4.2996840	14462.7049	14.412985	18.804011	1982-1999 –> 2000-2009	8.0045168	3.7048328	26791.5000	28.269699	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2511	4.4204608	14601.8263	11.121948	17.552550	1982-1999 –> 2000-2009	8.4782848	4.0578241	27341.4349	17.786025	3	6
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	2511	4.9677124	15185.9717	9.260105	16.381829	1982-1999 –> 2000-2009	9.2399139	4.2722014	28155.9717	14.297893	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2511	7.7003160	17389.1239	10.968718	21.676627	1982-1999 –> 2000-2009	14.3056172	6.6053012	32328.0691	17.711942	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	2511	7.8295072	17470.6810	9.069518	23.180364	1982-1999 –> 2000-2009	14.4453873	6.6158801	32414.8499	13.969750	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + silicate	2511	11.2187279	19277.0188	9.064778	45.002383	1982-1999 –> 2000-2009	20.8855175	9.6667896	35933.0022	13.203821	7	14
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + nitrate	2511	11.4247427	19366.4036	4.472928	46.561010	1982-1999 –> 2000-2009	22.3792349	10.9544922	36584.8779	7.535479	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	2511	16.1144787	21097.6539	14.208410	105.305108	1982-1999 –> 2000-2009	36.2643480	20.1498693	41071.1774	27.961577	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + nitrate + silicate	2511	16.6316653	21254.3002	6.942124	103.220786	1982-1999 –> 2000-2009	36.9750784	20.3434131	41268.9747	10.423910	12	22
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2929	3.3807201	15461.7058	13.666648	18.568837	2000-2009 –> 2010-2019	7.1818311	3.8011109	29307.4584	28.195844	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2929	4.0858062	16569.3885	10.667781	16.500287	2000-2009 –> 2010-2019	8.3854902	4.2996840	31032.0935	25.080766	3	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2929	4.0092529	16458.5895	13.654045	17.796185	2000-2009 –> 2010-2019	8.4297136	4.4204608	31060.4158	24.775993	2	5
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	2929	5.0303090	17785.6320	10.265525	17.365981	2000-2009 –> 2010-2019	9.9980214	4.9677124	32971.6037	19.525630	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2929	7.7900964	20349.7562	13.379994	27.058224	2000-2009 –> 2010-2019	15.4904123	7.7003160	37738.8800	24.348712	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	2929	8.0672671	20552.5609	10.325912	29.519274	2000-2009 –> 2010-2019	15.8967743	7.8295072	38023.2418	19.395430	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + silicate	2929	10.0528736	21841.5771	12.437291	65.309094	2000-2009 –> 2010-2019	21.2716015	11.2187279	41118.5959	21.502069	7	14
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + nitrate	2929	10.1826194	21914.6987	5.082538	70.385591	2000-2009 –> 2010-2019	21.6073621	11.4247427	41281.1023	9.555466	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	2929	15.1260086	24236.9050	9.357814	108.582255	2000-2009 –> 2010-2019	31.2404873	16.1144787	45334.5590	23.566224	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + temp + nitrate	2929	15.1588684	24247.6171	8.982260	114.697303	2000-2009 –> 2010-2019	31.5361343	16.3772660	45424.5069	23.096652	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2243	3.9425887	12533.4214	38.130159	22.358717	1982-1999 –> 2000-2009	6.6097385	2.6671499	22516.8094	68.798356	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2243	4.3129808	12934.2271	37.562410	21.420312	1982-1999 –> 2000-2009	7.0677150	2.7547342	23049.8331	66.472504	3	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2243	4.3013619	12922.1258	10.224900	25.214835	1982-1999 –> 2000-2009	7.2589688	2.9576069	23332.9129	17.808583	2	5
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2243	4.7323842	13348.5273	9.510687	24.009969	1982-1999 –> 2000-2009	7.7706295	3.0382454	23869.0558	15.155303	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	2243	5.9647626	14388.7677	10.278523	31.538871	1982-1999 –> 2000-2009	10.3356805	4.3709179	26422.0764	17.362363	5	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2243	6.1248853	14505.6054	9.605787	34.259017	1982-1999 –> 2000-2009	10.4981809	4.3732956	26539.1731	15.133692	6	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + silicate	2243	9.4041717	16429.1724	8.520479	64.778296	1982-1999 –> 2000-2009	16.7124734	7.3083017	30595.7944	13.432588	7	14
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ aou + nitrate	2243	10.0270984	16714.8949	4.702978	67.772937	1982-1999 –> 2000-2009	19.4583519	9.4312535	31938.8621	8.087575	8	16
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + silicate	2243	19.5832190	19721.7415	37.984615	97.360511	1982-1999 –> 2000-2009	39.0043903	19.4211712	37950.2872	66.628884	9	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + silicate	2243	19.6744555	19740.5928	7.502441	98.836822	1982-1999 –> 2000-2009	39.1558339	19.4813785	37979.9964	11.811906	10	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2689	3.0069168	13565.7735	25.732520	16.244108	2000-2009 –> 2010-2019	6.9495054	3.9425887	26099.1949	63.862679	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2689	3.3530453	14149.7267	11.144738	17.820666	2000-2009 –> 2010-2019	7.6544071	4.3013619	27071.8525	21.369638	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2689	3.9315728	15005.7462	23.157546	15.482365	2000-2009 –> 2010-2019	8.2445536	4.3129808	27939.9733	60.719956	3	6
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2689	4.6107266	15860.7084	8.291760	17.934775	2000-2009 –> 2010-2019	9.3431108	4.7323842	29209.2357	17.802448	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	2689	5.6523548	16958.1360	10.982925	27.685726	2000-2009 –> 2010-2019	11.6171174	5.9647626	31346.9037	21.261449	5	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2689	6.5259816	17729.0574	8.483331	31.553497	2000-2009 –> 2010-2019	12.6508669	6.1248853	32234.6628	18.089118	6	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + silicate	2689	10.4718762	20272.3235	10.126163	57.716781	2000-2009 –> 2010-2019	19.8760479	9.4041717	36701.4958	18.646642	7	14
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ aou + nitrate	2689	10.6069708	20339.2598	4.128665	58.955088	2000-2009 –> 2010-2019	20.6340692	10.0270984	37054.1547	8.831643	8	16
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + silicate	2689	17.5869371	23062.6186	24.770175	128.009563	2000-2009 –> 2010-2019	37.1701562	19.5832190	42784.3601	62.754790	9	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + silicate	2689	18.1604626	23233.2010	7.631363	136.644801	2000-2009 –> 2010-2019	37.8349181	19.6744555	42973.7938	15.133805	11	21
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3336	3.6844038	18182.1712	37.910867	15.715508	1982-1999 –> 2000-2009	6.5396593	2.8552555	31015.4819	67.451806	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3336	3.6970611	18203.0529	37.385966	15.415222	1982-1999 –> 2000-2009	6.5736235	2.8765624	31072.9790	65.188584	2	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3336	3.9157374	18586.4624	12.539202	20.131175	1982-1999 –> 2000-2009	7.0305406	3.1148031	31869.6751	25.008829	3	6
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3336	3.9432406	18631.1610	10.050516	19.854696	1982-1999 –> 2000-2009	7.0822299	3.1389894	31952.5489	17.106381	4	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	3336	5.8844098	21303.9865	12.654463	25.266851	1982-1999 –> 2000-2009	11.0536202	5.1692104	37218.2407	24.388600	5	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3336	5.8844213	21301.9995	10.182801	25.264899	1982-1999 –> 2000-2009	11.1045672	5.2201460	37265.1830	17.085297	6	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + nitrate + silicate	3336	10.5761648	25213.7562	9.347595	44.723032	1982-1999 –> 2000-2009	19.4612095	8.8850447	43939.3381	15.765952	7	14
Indo-Pacific	(26.75,27]	2	cstar_tref ~ aou + nitrate	3336	11.9810702	26043.9218	5.423546	56.858631	1982-1999 –> 2000-2009	24.0244919	12.0434217	46347.2541	9.279393	8	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + silicate	3336	18.0943420	28798.5964	37.893219	82.143081	1982-1999 –> 2000-2009	36.3862040	18.2918620	51276.6969	65.702816	9	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + nitrate + silicate	3336	18.1189477	28805.6632	8.679737	80.477481	1982-1999 –> 2000-2009	36.4262746	18.3073269	51286.1532	15.205694	11	21
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3379	2.9482744	16910.0717	25.113473	16.244123	2000-2009 –> 2010-2019	6.6326782	3.6844038	35092.2429	63.024341	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3379	3.1616693	17380.3213	8.035643	18.923432	2000-2009 –> 2010-2019	7.0774067	3.9157374	35966.7838	20.574845	2	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3379	3.4412099	17952.8792	23.855272	16.196695	2000-2009 –> 2010-2019	7.1382710	3.6970611	36155.9321	61.241238	3	5
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3379	3.7862467	18596.6203	6.487790	19.988887	2000-2009 –> 2010-2019	7.7294872	3.9432406	37227.7812	16.538306	4	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	3379	5.5166649	21142.3198	8.442465	23.112847	2000-2009 –> 2010-2019	11.4010747	5.8844098	42446.3064	21.096928	5	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3379	5.8631718	21551.9985	6.420217	23.190999	2000-2009 –> 2010-2019	11.7475931	5.8844213	42853.9980	16.603018	6	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + nitrate + silicate	3379	10.7737290	25663.7005	7.120157	47.305458	2000-2009 –> 2010-2019	21.3498938	10.5761648	50877.4567	16.467752	7	14
Indo-Pacific	(26.75,27]	2	cstar_tref ~ aou + nitrate	3379	11.2772700	25970.3960	3.598508	48.884193	2000-2009 –> 2010-2019	23.2583402	11.9810702	52014.3178	9.022054	8	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + silicate	3379	19.9676011	29835.3888	24.999356	96.859785	2000-2009 –> 2010-2019	38.0619431	18.0943420	58633.9852	62.892575	9	18
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + nitrate + silicate	3379	20.1048545	29879.6831	6.838171	94.256676	2000-2009 –> 2010-2019	38.2181850	18.1133305	58683.2775	15.700818	10	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4286	3.0967007	21866.3920	34.687795	8.706663	1982-1999 –> 2000-2009	5.5770079	2.4803072	35574.3484	71.160520	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	4286	3.1225260	21935.5827	20.719164	9.794178	1982-1999 –> 2000-2009	5.6790229	2.5564970	35819.5627	44.099194	2	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	4286	3.2154637	22186.9934	31.904012	9.342038	1982-1999 –> 2000-2009	5.7206853	2.5052216	35951.7591	63.813657	3	5
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	4286	3.2551604	22290.1718	14.917395	9.981338	1982-1999 –> 2000-2009	5.8422439	2.5870834	36242.1314	28.629448	4	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	4286	4.6117408	25278.3465	19.072964	16.340519	1982-1999 –> 2000-2009	8.8996218	4.2878810	42205.2650	39.628066	5	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	4286	5.0262995	26014.2126	14.027265	17.442650	1982-1999 –> 2000-2009	9.6386862	4.6123866	43368.3851	27.366075	6	12
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + silicate	4286	8.7240585	30740.8179	15.055265	32.513935	1982-1999 –> 2000-2009	16.6790774	7.9550189	51302.1093	28.561950	7	14
Indo-Pacific	(27,27.25]	2	cstar_tref ~ aou + nitrate	4286	10.6310852	32433.4828	8.225441	46.049643	1982-1999 –> 2000-2009	22.6813597	12.0502745	55436.3076	15.325354	8	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + silicate	4286	14.3237352	34993.1019	31.148105	61.418701	1982-1999 –> 2000-2009	28.9468968	14.6231616	59138.5939	62.996298	9	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + silicate	4286	14.5147581	35104.6634	12.166533	66.534749	1982-1999 –> 2000-2009	29.1425623	14.6278042	59250.0233	25.551236	11	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4475	2.7849934	21880.4973	20.189888	10.094226	2000-2009 –> 2010-2019	5.8816941	3.0967007	43746.8893	54.877683	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	4475	2.8386728	22049.3627	15.131252	9.629942	2000-2009 –> 2010-2019	5.9611988	3.1225260	43984.9454	35.850416	3	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	4475	2.7860709	21881.9591	19.075967	10.255451	2000-2009 –> 2010-2019	6.0015345	3.2154637	44068.9524	50.979979	2	5
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	4475	2.8395876	22050.2463	8.426920	9.772036	2000-2009 –> 2010-2019	6.0947480	3.2551604	44340.4180	23.344315	4	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	4475	4.8385389	26822.1844	14.297812	13.386128	2000-2009 –> 2010-2019	9.4502797	4.6117408	52100.5309	33.370776	5	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	4475	4.9481714	27020.7118	7.956232	14.066049	2000-2009 –> 2010-2019	9.9744709	5.0262995	53034.9245	21.983497	6	12
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + silicate	4475	8.5671914	31933.5625	10.223133	37.228380	2000-2009 –> 2010-2019	17.2912499	8.7240585	62674.3804	25.278399	7	14
Indo-Pacific	(27,27.25]	2	cstar_tref ~ aou + nitrate	4475	10.2837577	33566.0631	5.157521	35.549938	2000-2009 –> 2010-2019	20.9148429	10.6310852	65999.5459	13.382962	8	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + silicate	4475	15.8488267	37441.2043	18.688119	56.055087	2000-2009 –> 2010-2019	30.1725618	14.3237352	72434.3062	49.836224	9	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + silicate	4475	15.8795196	37456.5202	8.862831	57.539117	2000-2009 –> 2010-2019	30.3717512	14.4922316	72547.8698	20.965538	11	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5523	3.0102591	27860.5760	49.711696	8.728618	1982-1999 –> 2000-2009	5.5418509	2.5315918	48295.6255	87.269335	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	5523	3.0901732	28147.9921	48.770195	9.875161	1982-1999 –> 2000-2009	5.6219340	2.5317608	48581.6223	86.274299	2	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	5523	3.1497674	28358.9870	21.156992	10.952044	1982-1999 –> 2000-2009	5.6813909	2.5316235	48792.1455	36.354644	3	5
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	5523	3.2020235	28538.7414	21.108512	11.715192	1982-1999 –> 2000-2009	5.7338218	2.5317983	48970.5005	35.918873	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	5523	3.9639311	30898.5466	31.157960	14.995872	1982-1999 –> 2000-2009	8.1369720	4.1730409	55678.8281	56.930566	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	5523	5.0700126	33615.0451	18.051978	13.953064	1982-1999 –> 2000-2009	9.8150650	4.7450524	59510.6498	30.289899	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + nitrate + silicate	5523	5.5608399	34635.7602	20.103310	19.199669	1982-1999 –> 2000-2009	11.2584258	5.6975859	62122.5777	34.526341	7	14
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ aou + nitrate	5523	8.8054701	39710.7666	12.680841	32.352767	1982-1999 –> 2000-2009	18.1742668	9.3687967	71521.4659	20.576923	8	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	5523	10.0285698	41151.4632	18.937184	44.223488	1982-1999 –> 2000-2009	21.8605717	11.8320019	74996.4775	33.125411	9	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + silicate	5523	10.3495984	41497.5195	18.930353	48.103831	1982-1999 –> 2000-2009	22.2775086	11.9279102	75410.7542	32.950229	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5808	2.9994655	29255.8008	41.282922	13.438514	2000-2009 –> 2010-2019	6.0097247	3.0102591	57116.3767	90.994619	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	5808	3.0086662	29289.3775	41.199684	13.713253	2000-2009 –> 2010-2019	6.0988394	3.0901732	57437.3696	89.969879	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	5808	3.1053200	29656.6742	10.975522	16.072519	2000-2009 –> 2010-2019	6.2550874	3.1497674	58015.6612	32.132514	3	6
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	5808	3.1117037	29678.5293	10.969227	16.276206	2000-2009 –> 2010-2019	6.3137272	3.2020235	58217.2707	32.077739	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	5808	3.9880588	32562.8561	23.725938	13.862721	2000-2009 –> 2010-2019	7.9519899	3.9639311	63461.4026	54.883899	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	5808	5.1899541	35620.7458	9.622981	17.244746	2000-2009 –> 2010-2019	10.2599666	5.0700126	69235.7909	27.674959	7	13
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + nitrate + silicate	5808	4.7250944	34530.7317	13.672231	18.990630	2000-2009 –> 2010-2019	10.2859343	5.5608399	69166.4919	33.775541	6	13
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ aou + nitrate	5808	8.0750662	40753.6708	7.381309	27.589878	2000-2009 –> 2010-2019	16.8805363	8.8054701	80464.4375	20.062149	8	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	5808	10.4563755	43759.6032	13.176703	34.348425	2000-2009 –> 2010-2019	20.4849452	10.0285698	84911.0664	32.113887	9	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + silicate	5808	10.5355993	43845.2813	13.105251	38.093721	2000-2009 –> 2010-2019	20.8851976	10.3495984	85342.8008	32.035604	10	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6595	3.4932848	35228.4116	75.197296	10.185614	1982-1999 –> 2000-2009	6.1863718	2.6930871	58206.1539	135.102019	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6595	3.5952866	35606.0358	40.539094	11.261772	1982-1999 –> 2000-2009	6.2963986	2.7011120	58610.1337	75.844398	2	4
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	6595	3.9961828	37000.4285	74.930362	12.428011	1982-1999 –> 2000-2009	6.9493793	2.9531965	60854.8368	134.674288	3	6
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	6595	4.1053534	37353.9284	39.989336	14.422340	1982-1999 –> 2000-2009	7.0585631	2.9532097	61206.3792	75.117704	5	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6595	4.0889002	37302.9600	39.796797	13.893029	1982-1999 –> 2000-2009	8.0378811	3.9489810	63926.4948	76.317911	4	9
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	6595	4.8034821	39425.4082	28.685339	18.287393	1982-1999 –> 2000-2009	8.9230457	4.1195636	66449.9635	55.198300	6	12
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + silicate	6595	5.5544112	41341.2734	38.141174	19.970023	1982-1999 –> 2000-2009	11.1624448	5.6080336	71305.3850	67.808873	7	14
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ aou + nitrate	6595	7.7223111	45685.6588	22.773836	33.789092	1982-1999 –> 2000-2009	15.1527271	7.4304159	78329.3379	38.510412	8	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + silicate	6595	8.5780310	47075.8053	30.755917	54.007939	1982-1999 –> 2000-2009	18.2162642	9.6382332	82202.7708	52.444377	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + silicate	6595	8.9106329	47575.5644	30.303913	53.683556	1982-1999 –> 2000-2009	18.5767293	9.6660964	82728.0405	51.156541	10	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6438	3.4603627	34268.1767	59.315694	17.009687	2000-2009 –> 2010-2019	6.9536475	3.4932848	69496.5883	134.512990	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6438	3.4738887	34316.4088	14.869213	17.950349	2000-2009 –> 2010-2019	7.0691753	3.5952866	69922.4446	55.408307	2	4
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	6438	3.5728653	34678.1372	59.257101	18.370882	2000-2009 –> 2010-2019	7.5690480	3.9961828	71678.5657	134.187462	3	6
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	6438	3.5836982	34715.1182	14.726553	19.213120	2000-2009 –> 2010-2019	7.6890516	4.1053534	72069.0466	54.715890	4	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6438	4.2211821	36825.1760	24.624836	16.054222	2000-2009 –> 2010-2019	8.3100823	4.0889002	74128.1360	64.421633	5	9
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	6438	5.3856547	39960.0744	11.776424	16.351309	2000-2009 –> 2010-2019	10.1891368	4.8034821	79385.4826	40.461763	7	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + silicate	6438	4.8190750	38528.8185	16.082425	21.904141	2000-2009 –> 2010-2019	10.3734863	5.5544112	79870.0919	54.223599	6	13
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ aou + nitrate	6438	7.5662915	44335.4530	10.312372	29.927208	2000-2009 –> 2010-2019	15.2886026	7.7223111	90021.1118	33.086208	8	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + silicate	6438	8.7008393	46138.4419	15.468561	34.957677	2000-2009 –> 2010-2019	17.2788703	8.5780310	93214.2472	46.224478	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + nitrate + silicate	6438	8.8564888	46364.7450	15.318883	35.083172	2000-2009 –> 2010-2019	17.7671217	8.9106329	93940.3094	45.622795	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2505	2.9503258	12543.2793	159.614811	15.455126	1982-1999 –> 2000-2009	5.5689907	2.6186648	21373.9740	316.037945	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2505	2.9565454	12551.8297	130.120261	15.129877	1982-1999 –> 2000-2009	5.5879801	2.6314347	21398.5332	256.652922	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2505	3.1335800	12843.1844	159.613388	17.140874	1982-1999 –> 2000-2009	5.9223087	2.7887287	21904.8136	304.880359	3	6
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	2505	3.1402635	12851.8587	130.109231	16.797421	1982-1999 –> 2000-2009	5.9368535	2.7965900	21921.9090	247.271934	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2505	3.4234236	13286.3939	128.581560	13.526826	1982-1999 –> 2000-2009	6.5863017	3.1628782	22814.0923	265.625469	5	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2505	3.4606649	13338.6004	113.292744	14.005010	1982-1999 –> 2000-2009	6.6464974	3.1858325	22891.0687	232.710238	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + silicate	2505	5.0472872	15229.3251	121.335737	19.574384	1982-1999 –> 2000-2009	9.7284831	4.6811960	26206.4711	200.133270	7	14
Indo-Pacific	(27.75,27.85]	2	cstar_tref ~ aou + nitrate	2505	5.6499331	15792.4170	75.795739	28.320916	1982-1999 –> 2000-2009	10.9320349	5.2821018	27214.6553	111.643017	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + silicate	2505	6.2960933	16338.9280	63.083484	50.127895	1982-1999 –> 2000-2009	12.4852683	6.1891750	28351.8507	106.354061	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + silicate	2505	6.3675295	16393.4519	59.664874	52.306249	1982-1999 –> 2000-2009	12.5603939	6.1928644	28406.5808	100.211280	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2492	2.5282473	11708.7806	144.081904	17.636923	2000-2009 –> 2010-2019	5.4785731	2.9503258	24252.0599	303.696714	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2492	2.6734175	11985.0440	108.765789	16.358972	2000-2009 –> 2010-2019	5.6299629	2.9565454	24536.8737	238.886050	3	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2492	2.6177893	11880.2433	144.081802	18.869577	2000-2009 –> 2010-2019	5.7513693	3.1335800	24723.4278	303.695190	2	5
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	2492	2.7746231	12168.2360	108.577285	17.632865	2000-2009 –> 2010-2019	5.9148866	3.1402635	25020.0948	238.686516	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2492	3.4779603	13296.2766	105.293809	16.341244	2000-2009 –> 2010-2019	6.9013839	3.4234236	26582.6705	233.875369	5	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2492	3.5052538	13333.2361	92.103585	16.583145	2000-2009 –> 2010-2019	6.9659188	3.4606649	26671.8366	205.396329	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + silicate	2492	4.8842308	14986.6725	97.039309	19.996538	2000-2009 –> 2010-2019	9.9315180	5.0472872	30215.9976	218.375046	7	14
Indo-Pacific	(27.75,27.85]	2	cstar_tref ~ aou + nitrate	2492	5.4960469	15572.8707	54.598694	27.234767	2000-2009 –> 2010-2019	11.1459801	5.6499331	31365.2877	130.394433	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + silicate	2492	6.3169653	16270.6925	52.943541	46.675954	2000-2009 –> 2010-2019	12.6130586	6.2960933	32609.6204	116.027025	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + nitrate + silicate	2492	6.3528141	16296.8967	52.571353	47.540900	2000-2009 –> 2010-2019	12.7341080	6.3812939	32701.1669	115.654323	10	21
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3007	2.4009349	13814.9076	272.027843	15.729844	1982-1999 –> 2000-2009	4.6019183	2.2009834	22964.9611	556.050454	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3007	2.4037816	13820.0339	256.252437	15.930512	1982-1999 –> 2000-2009	4.6062544	2.2024728	22970.8867	520.932185	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3007	2.5946968	14279.6628	269.738534	17.453034	1982-1999 –> 2000-2009	4.9057542	2.3110574	23629.6545	501.270250	3	6
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	3007	2.5956884	14279.9609	253.370421	17.570477	1982-1999 –> 2000-2009	4.9081214	2.3124330	23630.4148	465.670923	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3007	3.0553164	15262.4317	221.486273	12.170927	1982-1999 –> 2000-2009	5.9251860	2.8698696	25508.5544	474.254477	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	3007	3.1467592	15437.7841	202.699438	12.801433	1982-1999 –> 2000-2009	6.0673599	2.9206007	25754.4160	447.952383	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + silicate	3007	4.3605179	17399.6577	175.070620	20.026106	1982-1999 –> 2000-2009	8.1302033	3.7696854	28772.3163	286.600437	10	17
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + silicate	3007	4.2922459	17306.7523	61.061242	25.325428	1982-1999 –> 2000-2009	8.4808695	4.1886236	29117.4761	110.691372	7	16
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + silicate	3007	4.2945106	17307.9246	58.318159	25.162838	1982-1999 –> 2000-2009	8.5410735	4.2465630	29173.4952	104.749977	8	18
Indo-Pacific	(27.85,27.95]	2	cstar_tref ~ aou + nitrate	3007	4.6320741	17760.9868	109.266019	21.221905	1982-1999 –> 2000-2009	8.6172738	3.9851997	29361.7012	162.751353	15	23
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3072	2.1639077	13474.6085	262.384026	17.842938	2000-2009 –> 2010-2019	4.5648426	2.4009349	27289.5162	534.411868	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3072	2.1787913	13514.7228	256.079013	17.405634	2000-2009 –> 2010-2019	4.5825729	2.4037816	27334.7567	512.331450	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3072	2.2661391	13756.2267	256.344427	19.305486	2000-2009 –> 2010-2019	4.8608358	2.5946968	28035.8895	526.082961	3	6
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	3072	2.3010635	13848.1923	246.890102	18.784075	2000-2009 –> 2010-2019	4.8967520	2.5956884	28128.1532	500.260523	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3072	3.2947588	16055.6520	239.240856	13.745492	2000-2009 –> 2010-2019	6.3500752	3.0553164	31318.0837	460.727129	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	3072	3.3993083	16245.5845	198.544701	14.042043	2000-2009 –> 2010-2019	6.5460675	3.1467592	31683.3686	401.244140	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + silicate	3072	4.3118207	17708.5558	60.425344	28.214807	2000-2009 –> 2010-2019	8.6040666	4.2922459	35015.3081	121.486586	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + silicate	3072	4.3131829	17708.4965	57.812400	28.282702	2000-2009 –> 2010-2019	8.6559115	4.3427286	35083.5690	118.873087	8	17
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + silicate	3072	4.3767635	17798.4041	50.475031	27.609258	2000-2009 –> 2010-2019	8.6712741	4.2945106	35106.3287	108.793191	11	19
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + temp + nitrate	3072	4.3242677	17724.2662	5.148044	28.300530	2000-2009 –> 2010-2019	8.7322089	4.4079412	35188.9765	10.876874	9	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3323	1.7930299	13324.9104	412.225812	12.658100	1982-1999 –> 2000-2009	3.5132678	1.7202379	22977.2355	733.023957	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	3323	1.8055167	13369.0336	384.805672	13.166222	1982-1999 –> 2000-2009	3.5281317	1.7226150	23026.1443	669.682645	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	3323	1.9382840	13840.6087	411.093785	14.201142	1982-1999 –> 2000-2009	3.7659900	1.8277060	23788.7174	648.312984	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	3323	1.9383681	13838.8970	376.771013	14.167996	1982-1999 –> 2000-2009	3.7668378	1.8284697	23787.0585	570.901667	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	3323	2.3774147	15197.7922	274.769954	10.121681	1982-1999 –> 2000-2009	4.9115641	2.5341494	26751.7785	525.033020	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	3323	2.5852013	15752.6587	252.082313	11.148585	1982-1999 –> 2000-2009	5.2728721	2.6876709	27593.6714	493.800897	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + silicate	3323	2.7744355	16224.1583	65.183010	11.247791	1982-1999 –> 2000-2009	6.0254469	3.2510114	29002.2619	114.553456	7	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + silicate	3323	2.7916798	16263.3382	56.744357	11.313009	1982-1999 –> 2000-2009	6.1055325	3.3138527	29133.5218	102.119380	8	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + silicate	3323	2.8442058	16387.2221	60.477640	11.858021	1982-1999 –> 2000-2009	6.2227090	3.3785032	29352.3508	107.040916	9	20
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + silicate	3323	3.3168401	17408.9029	157.795851	12.704255	1982-1999 –> 2000-2009	6.3031266	2.9862865	29767.6334	237.973185	13	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4478	2.2032598	19796.6980	563.271275	9.870513	2000-2009 –> 2010-2019	3.9962896	1.7930299	33121.6085	975.497086	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4478	2.2133905	19835.7841	541.923928	10.110950	2000-2009 –> 2010-2019	4.0189073	1.8055167	33204.8177	926.729601	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	4478	2.3390710	20330.4091	508.717355	10.347354	2000-2009 –> 2010-2019	4.2773551	1.9382840	34171.0177	919.811140	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	4478	2.3452096	20351.8822	505.726061	10.183628	2000-2009 –> 2010-2019	4.2835778	1.9383681	34190.7791	882.497075	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	4478	2.6196823	21345.1167	540.113981	12.839973	2000-2009 –> 2010-2019	4.9970971	2.3774147	36542.9090	814.883935	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	4478	2.7679213	21836.0866	395.338946	12.116314	2000-2009 –> 2010-2019	5.3531226	2.5852013	37588.7453	647.421259	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + silicate	4478	2.7762190	21864.8950	112.481017	14.390403	2000-2009 –> 2010-2019	5.5506545	2.7744355	38089.0533	177.664026	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + silicate	4478	2.8009321	21942.2660	94.936754	13.551192	2000-2009 –> 2010-2019	5.6451380	2.8442058	38329.4882	155.414394	9	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + nitrate	4478	2.7790986	21872.1795	13.450461	14.074587	2000-2009 –> 2010-2019	5.6623323	2.8832337	38349.9774	21.306212	8	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + silicate	4478	2.8722507	22167.4527	84.419777	15.323699	2000-2009 –> 2010-2019	5.6639305	2.7916798	38430.7909	141.164135	11	19
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1938	1.3626411	6713.1362	624.360897	6.674011	1982-1999 –> 2000-2009	2.4747986	1.1121575	11495.0376	1229.139288	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1938	1.3912788	6791.7514	543.377074	6.848167	1982-1999 –> 2000-2009	2.5245014	1.1332225	11630.3076	923.705430	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1938	1.4491347	6949.6722	427.530501	8.252865	1982-1999 –> 2000-2009	2.5912896	1.1421550	11812.7720	910.292098	3	6
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1938	1.4812440	7032.6174	358.895172	8.494202	1982-1999 –> 2000-2009	2.6496003	1.1683563	11964.6183	648.388735	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	1938	1.8385856	7872.2765	503.963930	9.274497	1982-1999 –> 2000-2009	3.7333544	1.8947688	14317.6950	1026.206390	5	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + silicate	1938	1.9211089	8042.4562	67.514796	7.366098	1982-1999 –> 2000-2009	3.9264350	2.0053260	14665.1496	147.840165	6	13
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	1938	2.0945969	8375.5695	387.110310	11.530480	1982-1999 –> 2000-2009	4.0986681	2.0040712	14994.3062	826.363392	9	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + silicate	1938	1.9338664	8066.1103	64.948751	7.825379	1982-1999 –> 2000-2009	4.1781179	2.2442515	15038.6832	140.704347	7	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + silicate	1938	2.0488048	8289.8923	65.965509	8.180930	1982-1999 –> 2000-2009	4.2840611	2.2352563	15249.9107	145.594314	8	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + silicate	1938	2.2543215	8660.4086	119.804260	9.013925	1982-1999 –> 2000-2009	4.4026394	2.1483179	15496.4163	208.728225	10	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2534	1.6372795	9703.8871	644.241227	7.694056	2000-2009 –> 2010-2019	2.9999206	1.3626411	16417.0233	1268.602124	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	2534	1.7145982	9935.7386	491.741726	7.753739	2000-2009 –> 2010-2019	3.1058770	1.3912788	16727.4900	1035.118800	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2534	1.7808397	10127.8471	552.706676	9.677626	2000-2009 –> 2010-2019	3.2299743	1.4491347	17077.5194	980.237177	3	6
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2534	1.8579353	10340.6332	406.871444	10.041134	2000-2009 –> 2010-2019	3.3391792	1.4812440	17373.2505	765.766617	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	2534	2.0280158	10786.5498	581.589747	13.012231	2000-2009 –> 2010-2019	3.8666014	1.8385856	18658.8262	1085.553677	7	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + silicate	2534	2.0049517	10728.5826	132.915974	11.688187	2000-2009 –> 2010-2019	3.9260607	1.9211089	18771.0388	200.430770	5	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + silicate	2534	2.0059021	10728.9843	128.080925	11.835875	2000-2009 –> 2010-2019	3.9397685	1.9338664	18795.0946	193.029675	6	13
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + silicate	2534	2.1894634	11172.7516	130.291013	12.514022	2000-2009 –> 2010-2019	4.2382682	2.0488048	19462.6439	196.256522	8	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2534	2.2697530	11355.2732	519.320894	15.993383	2000-2009 –> 2010-2019	4.3643499	2.0945969	19730.8427	906.431204	9	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + silicate	2534	2.5117319	11868.6692	203.170151	11.387617	2000-2009 –> 2010-2019	4.7660534	2.2543215	20529.0778	322.974411	12	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4870	1.0778097	14564.2885	377.706514	4.853969	1982-1999 –> 2000-2009	2.0797987	1.0019890	25209.6538	752.016773	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	4870	1.3418979	16696.8491	365.384096	7.624674	1982-1999 –> 2000-2009	2.4757474	1.1338494	28265.2243	675.061662	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	4870	1.4301947	17317.5364	329.137332	7.825701	1982-1999 –> 2000-2009	2.6540932	1.2238985	29457.7072	693.560730	3	6
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	4870	1.4811719	17656.6608	265.178916	8.586690	1982-1999 –> 2000-2009	2.7183967	1.2372248	29875.8582	496.374011	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	4870	1.4925768	17733.3707	144.021664	5.990524	1982-1999 –> 2000-2009	3.0552443	1.5626674	31701.7906	334.032100	5	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + nitrate + silicate	4870	1.6595789	18766.3938	37.698273	6.191401	1982-1999 –> 2000-2009	3.4727241	1.8131452	33847.1532	87.936211	6	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + silicate	4870	1.6601775	18767.9062	31.100178	6.186584	1982-1999 –> 2000-2009	3.4787733	1.8185958	33869.1241	70.634561	7	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + nitrate + silicate	4870	1.7583424	19327.4404	23.855390	6.391621	1982-1999 –> 2000-2009	3.5746366	1.8162942	34419.1831	51.234222	8	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + nitrate + silicate	4870	1.8947944	20055.3961	64.094036	8.214141	1982-1999 –> 2000-2009	3.6546947	1.7599003	34911.1482	109.793226	9	15
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ nitrate + silicate	4870	1.9042552	20101.9071	23.598661	9.052039	1982-1999 –> 2000-2009	3.7229559	1.8187008	35201.5568	49.228388	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5541	1.1703931	17482.3147	532.213654	9.670896	2000-2009 –> 2010-2019	2.2482028	1.0778097	32046.6033	909.920168	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	5541	1.3703418	19228.1743	515.054369	10.362465	2000-2009 –> 2010-2019	2.7122398	1.3418979	35925.0234	880.438465	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	5541	1.3793189	19300.5352	517.673845	10.737723	2000-2009 –> 2010-2019	2.8095136	1.4301947	36618.0716	846.811177	3	6
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	5541	1.4105387	19546.5709	433.252725	10.728123	2000-2009 –> 2010-2019	2.8917106	1.4811719	37203.2317	698.431641	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	5541	1.6354647	21188.2114	276.969449	9.366963	2000-2009 –> 2010-2019	3.1280415	1.4925768	38921.5821	420.991114	5	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + nitrate + silicate	5541	1.7928850	22206.6374	70.831602	9.928148	2000-2009 –> 2010-2019	3.4524640	1.6595789	40973.0312	108.529875	6	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + silicate	5541	1.8024010	22263.3010	47.282531	10.031079	2000-2009 –> 2010-2019	3.4625785	1.6601775	41031.2072	78.382709	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + nitrate + silicate	5541	1.8551582	22583.0199	33.731149	8.832255	2000-2009 –> 2010-2019	3.6135006	1.7583424	41910.4603	57.586539	8	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + nitrate + silicate	5541	2.0690533	23792.3013	98.047327	10.560572	2000-2009 –> 2010-2019	3.9638478	1.8947944	43847.6974	162.141363	11	20
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ nitrate + silicate	5541	2.1045962	23979.0545	32.830408	12.292143	2000-2009 –> 2010-2019	4.0088513	1.9042552	44080.9616	56.429070	12	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	11082	0.6417217	21631.3900	134.084321	4.957359	1982-1999 –> 2000-2009	1.4304459	0.7887242	41493.9062	246.836737	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	11082	0.6734503	22699.0133	84.210323	4.911576	1982-1999 –> 2000-2009	1.6524362	0.9789859	46189.5860	176.015532	2	5
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + silicate	11082	0.8007730	26537.0067	133.772434	9.799257	1982-1999 –> 2000-2009	1.6546624	0.8538893	47731.0299	234.549040	3	5
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + silicate	11082	0.9928469	31300.2435	35.303128	9.342935	1982-1999 –> 2000-2009	2.1732403	1.1803934	57931.4834	60.269217	6	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + silicate	11082	0.8868654	28800.2990	10.589876	4.802859	1982-1999 –> 2000-2009	2.2382894	1.3514239	57706.4942	26.547255	4	9
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + silicate	11082	0.9302661	29857.2373	8.633802	5.542814	1982-1999 –> 2000-2009	2.2838500	1.3535839	58788.2592	21.589263	5	12
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + silicate	11082	0.9944953	31337.0114	5.289560	7.161606	1982-1999 –> 2000-2009	2.3463036	1.3518083	60245.9828	13.283687	7	13
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + silicate	11082	1.0069115	31610.0137	4.526151	8.100559	1982-1999 –> 2000-2009	2.3718368	1.3649252	60679.1953	11.204595	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	11082	1.6220161	42181.4124	129.169591	20.336235	1982-1999 –> 2000-2009	3.0761912	1.4541751	72318.5653	231.095416	9	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + temp + nitrate	11082	1.6558672	42637.2101	4.612572	18.279247	1982-1999 –> 2000-2009	3.2948332	1.6389659	74781.8523	9.583684	10	20
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	15069	0.8229657	36905.8591	147.199674	7.261181	2000-2009 –> 2010-2019	1.4646874	0.6417217	58537.2491	281.283995	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	15069	0.8570495	38126.8922	123.525934	7.414064	2000-2009 –> 2010-2019	1.5304997	0.6734503	60825.9055	207.736257	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + silicate	15069	0.9550320	41389.3067	136.958837	11.302532	2000-2009 –> 2010-2019	1.7558050	0.8007730	67926.3134	270.731271	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + silicate	15069	1.0669329	44728.5541	13.141241	6.827191	2000-2009 –> 2010-2019	1.9537984	0.8868654	73528.8531	23.731117	4	8
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + silicate	15069	1.0732112	44903.3769	11.646017	6.773488	2000-2009 –> 2010-2019	2.0034772	0.9302661	74760.6141	20.279819	5	10
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + silicate	15069	1.1129410	45998.9190	6.673052	9.764147	2000-2009 –> 2010-2019	2.1074364	0.9944953	77335.9304	11.962612	6	13
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + silicate	15069	1.1285112	46417.6315	49.960114	12.196326	2000-2009 –> 2010-2019	2.1213582	0.9928469	77717.8750	85.263243	7	13
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + silicate	15069	1.1388074	46689.3530	4.603190	11.215553	2000-2009 –> 2010-2019	2.1457189	1.0069115	78299.3667	9.129341	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	15069	1.4886624	54767.2164	121.455250	19.798836	2000-2009 –> 2010-2019	3.1106784	1.6220161	96948.6287	250.624841	9	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + temp + nitrate	15069	1.4990783	54975.3521	7.674184	19.066136	2000-2009 –> 2010-2019	3.1549455	1.6558672	97612.5622	12.286756	10	20
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5277	1.2718735	17527.6193	79.011747	4.289554	1982-1999 –> 2000-2009	2.3285639	1.0566904	33137.3885	164.058578	1	2
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	5277	1.2889873	17666.6829	34.933575	4.127751	1982-1999 –> 2000-2009	2.3568694	1.0678821	33385.9186	81.821190	2	4
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	5277	1.3093142	17831.8170	29.820207	3.759595	1982-1999 –> 2000-2009	2.4162883	1.1069741	33931.4350	38.543788	5	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	5277	1.3126482	17858.6572	72.817863	4.916525	1982-1999 –> 2000-2009	2.4263168	1.1136686	34022.0657	94.347502	8	12
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + nitrate + silicate	5277	1.3777477	18367.5074	6.145168	4.025695	1982-1999 –> 2000-2009	2.4916535	1.1139057	34531.1685	12.727052	13	18
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + nitrate	5277	1.3203596	17918.4772	18.771237	4.688109	1982-1999 –> 2000-2009	2.5130128	1.1926532	34804.8354	30.192851	11	17
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + nitrate	5277	1.3097649	17833.4494	12.089849	3.733739	1982-1999 –> 2000-2009	2.5265875	1.2168226	34932.0704	17.159845	6	13
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + nitrate	5277	1.4431347	18854.8703	2.413924	4.117203	1982-1999 –> 2000-2009	2.6609079	1.2177732	35959.7536	3.982832	14	22
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	5277	1.2967951	17730.4191	42.394734	4.244222	1982-1999 –> 2000-2009	3.0865194	1.7897242	38913.0000	96.205546	3	12
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ aou + nitrate + silicate	5277	1.3177540	17897.6296	8.544550	4.754667	1982-1999 –> 2000-2009	3.3713294	2.0535754	40533.1807	22.399886	10	20
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6434	1.4329095	22901.6106	78.928824	7.232165	2000-2009 –> 2010-2019	2.7047830	1.2718735	40429.2299	157.940571	1	2
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	6434	1.4331014	22901.3336	18.180398	7.289601	2000-2009 –> 2010-2019	2.7424156	1.3093142	40733.1506	48.000605	2	7
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	6434	1.4461316	23017.8051	61.954340	6.502236	2000-2009 –> 2010-2019	2.7429268	1.2967951	40748.2242	104.349074	5	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	6434	1.4357605	22925.1879	48.958689	7.248075	2000-2009 –> 2010-2019	2.7484087	1.3126482	40783.8451	121.776553	3	11
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + nitrate + silicate	6434	1.4518379	23066.4811	8.106874	6.605914	2000-2009 –> 2010-2019	2.7623704	1.3105325	40906.1137	12.408464	6	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	6434	1.4796604	23312.7458	47.720411	6.123216	2000-2009 –> 2010-2019	2.7686477	1.2889873	40979.4287	82.653986	8	10
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ aou + nitrate + silicate	6434	1.4537821	23083.7018	19.823513	6.373713	2000-2009 –> 2010-2019	2.7715361	1.3177540	40981.3313	28.368063	7	17
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + nitrate	6434	1.4870636	23374.9677	47.576155	6.454973	2000-2009 –> 2010-2019	2.7844369	1.2973733	41108.0910	82.453361	10	14
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + nitrate	6434	1.4803401	23316.6551	24.391079	6.148961	2000-2009 –> 2010-2019	2.8006997	1.3203596	41235.1323	43.162316	9	20
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + nitrate	6434	1.4880263	23381.2951	14.853309	6.505117	2000-2009 –> 2010-2019	2.8089400	1.3209138	41302.2011	21.537151	11	23

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	6.826844	1005.826
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	5.525973	844.120
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	11.122571	5039.925
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	10.665672	4438.435
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	10.272361	7644.401
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	11.086503	7015.879
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	10.252126	13498.212
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	11.421990	12663.077
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	9.332381	17134.845
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	10.028868	17133.015
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	11.204472	29132.751
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	12.402341	29891.505
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	8.425256	50518.733
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	9.229493	50376.406
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	4.938686	15060.975
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	5.639420	16145.278
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	4.942892	16139.313
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	5.544293	16732.114
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.999621	23644.265
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.993685	22184.570
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.903346	5797.963
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	2.160200	6374.532
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.911024	8317.752
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.035428	9303.945
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	2.421667	18662.244
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	2.430370	19661.923
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	2.982263	26522.443
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	2.924564	31906.538
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	23.381383	29231.459
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	19.576996	45630.179
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	17.834934	32789.947
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	17.103783	37329.246
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	16.387196	28419.480
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	17.197475	33341.563
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	16.568242	39324.355
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	17.261487	44995.208
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	13.880716	45428.849
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	14.211433	55493.276
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	11.410181	59388.065
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	11.142595	68336.867
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	10.655981	68381.950
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	10.848822	79372.602
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	8.195511	24248.395
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	8.306676	27867.904
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	6.478401	26088.388
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	6.646461	31418.395
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	4.941548	26518.037
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	4.944840	36201.919
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	3.486347	13666.490
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	3.777605	18354.281
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	3.088706	31675.840
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	3.229095	39255.787
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	2.252209	57786.635
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	2.134841	76349.330
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.617805	35415.082
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.763517	40920.675

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
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )

	aou	nitrate	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	10	6	7	6
(26,26.5]	7	10	6	7	6
(26.5,26.75]	6	10	7	6	7
(26.75,27]	6	10	7	6	7
(27,27.25]	6	10	7	6	7
(27.25,27.5]	6	10	7	6	7
(27.5,27.75]	6	10	7	6	7
(27.75,27.85]	7	10	6	7	6
(27.85,27.95]	7	10	7	6	6
(27.95,28.05]	6	10	8	5	6
(28.05,28.1]	7	10	6	7	6
(28.1,28.15]	7	10	6	7	6
(28.15,28.2]	5	10	6	8	6
(28.2, Inf]	6	10	5	8	6
total	89.00	140.00	91.00	92.00	89.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	10	6	7	6
(26,26.5]	6	10	5	8	6
(26.5,26.75]	6	10	7	6	7
(26.75,27]	6	10	7	6	7
(27,27.25]	6	10	7	6	7
(27.25,27.5]	6	10	7	6	7
(27.5,27.75]	6	10	7	6	7
(27.75,27.85]	8	10	6	6	5
(27.85,27.95]	6	10	8	5	6
(27.95,28.05]	6	10	8	5	6
(28.05,28.1]	6	10	7	6	7
(28.1,28.15]	7	10	6	7	6
(28.15,28.2]	5	10	6	8	6
(28.2, Inf]	7	10	6	7	6
total	88.00	140.00	93.00	89.00	89.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	10	6	5	6
(26,26.5]	8	10	6	6	5
(26.5,26.75]	8	10	6	6	5
(26.75,27]	8	10	5	6	6
(27,27.25]	8	10	5	6	6
(27.25,27.5]	8	10	5	6	6
(27.5,27.75]	8	10	5	6	6
(27.75,27.85]	8	10	6	6	5
(27.85,27.95]	8	10	6	6	5
(27.95,28.05]	7	10	6	7	6
(28.05,28.1]	7	10	6	7	6
(28.1,28.2]	6	10	5	8	6
(28.2,28.3]	5	10	6	8	6
(28.3, Inf]	6	10	8	6	5
total	103.00	140.00	81.00	89.00	79.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	10	6	5	6
(26,26.5]	8	10	6	5	6
(26.5,26.75]	8	10	6	6	5
(26.75,27]	8	10	6	6	5
(27,27.25]	8	10	6	6	5
(27.25,27.5]	8	10	5	6	6
(27.5,27.75]	8	10	5	6	6
(27.75,27.85]	8	10	5	6	6
(27.85,27.95]	6	10	7	6	7
(27.95,28.05]	6	10	7	6	7
(28.05,28.1]	7	10	6	7	6
(28.1,28.2]	6	10	5	8	6
(28.2,28.3]	5	10	6	8	6
(28.3, Inf]	8	10	5	6	6
total	102.00	140.00	81.00	87.00	83.00

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
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  ggforce_0.3.3    metR_0.9.0      
[13] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[17] stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4      readr_1.4.0     
[21] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[25] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               MASS_7.3-53             
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              tweenr_1.0.2            
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[76] openxlsx_4.2.3           xfun_0.20                RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1