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

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File paths: relative

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Repository version: 257f937

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The results in this page were generated with repository version 257f937. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

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

File	Version	Author	Date	Message
html	829510d	Donghe-Zhu	2021-07-27	Build site.
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html	e9838c9	Donghe-Zhu	2021-07-27	Build site.
html	2777f33	Donghe-Zhu	2021-07-27	Build site.
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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.
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html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
Rmd	573cc5d	Donghe-Zhu	2021-07-22	local rebuild
html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
Rmd	ec15bf2	Donghe-Zhu	2021-07-20	local rebuild
html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
html	db1e7b7	Donghe-Zhu	2021-07-19	Build site.
Rmd	38a8d51	Donghe-Zhu	2021-07-19	local rebuild
html	ff0575d	Donghe-Zhu	2021-07-19	Build site.
html	5d60eac	Donghe-Zhu	2021-07-19	Build site.
html	57d0420	Donghe-Zhu	2021-07-16	Build site.
html	c1be8f6	Donghe-Zhu	2021-07-16	1
html	26a7c15	Donghe-Zhu	2021-07-16	Build site.
html	046902b	Donghe-Zhu	2021-07-16	Build site.
html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
html	be6fff9	Donghe-Zhu	2021-07-15	Build site.
Rmd	b8bd687	Donghe-Zhu	2021-07-15	local rebuild
html	b473472	Donghe-Zhu	2021-07-15	Build site.
html	363270a	Donghe-Zhu	2021-07-15	Build site.
Rmd	bb00951	Donghe-Zhu	2021-07-15	local rebuild
html	8b75a03	Donghe-Zhu	2021-07-15	Build site.
Rmd	4f7d192	Donghe-Zhu	2021-07-15	local rebuild
html	294f8ca	Donghe-Zhu	2021-07-15	Build site.
html	a01e135	Donghe-Zhu	2021-07-07	Build site.
html	bc83ef2	Donghe-Zhu	2021-07-07	Build site.
Rmd	0a4ac57	Donghe-Zhu	2021-07-07	local rebuild
html	75e7b07	Donghe-Zhu	2021-07-06	Build site.
html	697aa6d	Donghe-Zhu	2021-07-06	Build site.
html	d52e2de	Donghe-Zhu	2021-07-06	Build site.
html	f2bde6b	Donghe-Zhu	2021-07-06	Build site.
html	1133f28	Donghe-Zhu	2021-07-06	Build site.
html	fe3a1cd	Donghe-Zhu	2021-07-06	Build site.
html	d9cdf15	Donghe-Zhu	2021-07-06	Build site.
html	ee4cd2d	Donghe-Zhu	2021-07-06	Build site.
html	93821c1	Donghe-Zhu	2021-07-05	Build site.
html	d44db8e	Donghe-Zhu	2021-07-05	Build site.
html	20b3436	Donghe-Zhu	2021-07-05	Build site.
html	d982ea5	Donghe-Zhu	2021-07-05	Build site.
html	7397e53	Donghe-Zhu	2021-07-05	Build site.
html	f2e4805	Donghe-Zhu	2021-07-05	Build site.
html	e2d011a	Donghe-Zhu	2021-07-05	Build site.
html	85e0349	Donghe-Zhu	2021-07-05	Build site.
html	6ee0146	Donghe-Zhu	2021-07-05	Build site.
html	a482a6b	Donghe-Zhu	2021-07-05	Build site.
html	f59f1b3	Donghe-Zhu	2021-07-05	Build site.
html	116bcab	Donghe-Zhu	2021-07-04	Build site.
html	cb1c8dc	Donghe-Zhu	2021-07-04	Build site.
html	c9bdd83	Donghe-Zhu	2021-07-04	Build site.
html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
html	90a9da5	Donghe-Zhu	2021-06-25	Build site.
html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
html	e7a5266	Donghe-Zhu	2021-06-24	Build site.
html	7c57720	Donghe-Zhu	2021-06-24	Build site.
html	b5b95a9	Donghe-Zhu	2021-06-24	Build site.
html	472aad4	Donghe-Zhu	2021-06-24	Build site.
Rmd	76ce72b	Donghe-Zhu	2021-06-24	local rebuild
html	d517836	Donghe-Zhu	2021-06-24	0
html	9221bfe	Donghe-Zhu	2021-06-24	Build site.
html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
html	256a616	Donghe-Zhu	2021-06-23	Build site.
html	00072e2	Donghe-Zhu	2021-06-23	Build site.
Rmd	71d2509	Donghe-Zhu	2021-06-23	local rebuild
html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
html	72c2f2e	Donghe-Zhu	2021-06-15	Build site.
html	d97dcb6	Donghe-Zhu	2021-06-08	1
html	25dda1d	Donghe-Zhu	2021-06-08	Build site.
html	bd2bcc3	Donghe-Zhu	2021-06-08	Build site.
html	e9b27d7	Donghe-Zhu	2021-06-07	Build site.
html	7ae0d4b	Donghe-Zhu	2021-06-07	Build site.
html	325391f	Donghe-Zhu	2021-06-07	Build site.
html	ed89970	Donghe-Zhu	2021-06-07	Build site.
html	df37958	Donghe-Zhu	2021-06-07	1
html	812bf63	Donghe-Zhu	2021-06-06	Build site.
html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
html	5d8fa90	Donghe-Zhu	2021-06-06	Build site.
html	dbe2a95	Donghe-Zhu	2021-05-28	Build site.
html	d50b039	Donghe-Zhu	2021-05-28	Build site.
html	441ebe5	Donghe-Zhu	2021-05-28	Build site.
html	6262ad3	Donghe-Zhu	2021-05-28	Build site.
html	a61aa77	Donghe-Zhu	2021-05-28	Build site.
html	b8dbce4	Donghe-Zhu	2021-05-28	Build site.
html	94a833e	Donghe-Zhu	2021-05-27	Build site.
html	5e0bd64	Donghe-Zhu	2021-05-27	Build site.
html	af1eadd	Donghe-Zhu	2021-05-27	Build site.
html	9179bfe	Donghe-Zhu	2021-05-27	Build site.
html	28cbe5e	Donghe-Zhu	2021-05-27	Build site.
html	a618f02	Donghe-Zhu	2021-05-27	Build site.
html	4623e38	Donghe-Zhu	2021-05-27	Build site.
html	b81bb49	Donghe-Zhu	2021-05-27	Build site.
html	951e188	Donghe-Zhu	2021-05-27	Build site.
html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
html	2705a04	Donghe-Zhu	2021-03-28	Build site.
html	cd5f759	Donghe-Zhu	2021-03-28	Build site.
Rmd	347fb44	Donghe-Zhu	2021-03-28	local rebuild
html	75dda4d	Donghe-Zhu	2021-03-27	Build site.
html	0b19f6e	Donghe-Zhu	2021-03-27	Build site.
html	e2704ca	Donghe-Zhu	2021-03-27	Build site.
Rmd	b1706de	Donghe-Zhu	2021-03-27	local rebuild
html	3061a0b	Donghe-Zhu	2021-03-27	Build site.
html	b883157	Donghe-Zhu	2021-03-27	Build site.
html	0c20513	Donghe-Zhu	2021-03-26	Build site.
html	d19654d	Donghe-Zhu	2021-03-26	Build site.
Rmd	921c9db	Donghe-Zhu	2021-03-26	local rebuild
html	6c53dbf	Donghe-Zhu	2021-03-25	Build site.
Rmd	195db95	Donghe-Zhu	2021-03-24	local rebuild
html	1914a11	Donghe-Zhu	2021-03-24	Build site.
Rmd	e32af14	Donghe-Zhu	2021-03-24	local rebuild
html	8be810e	Donghe-Zhu	2021-03-23	Build site.
Rmd	85274db	Donghe-Zhu	2021-03-23	local rebuild
html	bf19764	Donghe-Zhu	2021-03-22	Build site.
html	3ec9d3d	Donghe-Zhu	2021-03-22	Build site.
Rmd	073fa6a	Donghe-Zhu	2021-03-22	local rebuild
html	134ace1	Donghe-Zhu	2021-03-22	Build site.
html	f6d70a4	Donghe-Zhu	2021-03-22	Build site.
html	183443b	Donghe-Zhu	2021-03-21	Build site.
Rmd	adca794	Donghe-Zhu	2021-03-21	local rebuild
html	2e6976b	Donghe-Zhu	2021-03-21	Build site.
Rmd	4e7de35	Donghe-Zhu	2021-03-21	local rebuild
html	51a42bd	Donghe-Zhu	2021-03-16	Build site.
html	f745381	Donghe-Zhu	2021-03-16	Build site.
html	aecbf75	Donghe-Zhu	2021-03-14	Build site.
html	1b2a0c2	Donghe-Zhu	2021-03-14	Build site.
html	6733e48	Donghe-Zhu	2021-03-12	Build site.
html	ba71e6a	Donghe-Zhu	2021-03-12	Build site.
html	9dbf5bd	Donghe-Zhu	2021-03-11	Build site.
html	a49df30	Donghe-Zhu	2021-03-11	Build site.
html	b3348a5	Donghe-Zhu	2021-03-11	Build site.
Rmd	026c061	Donghe-Zhu	2021-03-11	local rebuild
html	1c24ff7	Donghe-Zhu	2021-03-10	Build site.
Rmd	dbd8ff8	Donghe-Zhu	2021-03-10	local rebuild
html	94ce5a8	Donghe-Zhu	2021-03-10	Build site.
html	db33928	Donghe-Zhu	2021-03-10	Build site.
html	3d1f470	Donghe-Zhu	2021-03-10	Build site.
html	9b7bc66	Donghe-Zhu	2021-03-10	Build site.
Rmd	498be1d	Donghe-Zhu	2021-03-10	local rebuild
html	4168b43	Donghe-Zhu	2021-03-10	Build site.
html	5365f80	Donghe-Zhu	2021-03-10	Build site.
html	2b6c392	Donghe-Zhu	2021-03-10	Build site.
html	9f58753	Donghe-Zhu	2021-03-10	Build site.
Rmd	e255177	Donghe-Zhu	2021-03-10	local rebuild
html	f2a7146	Donghe-Zhu	2021-03-10	Build site.
html	fd528ed	Donghe-Zhu	2021-03-10	Build site.
html	9d5a62c	Donghe-Zhu	2021-03-10	Build site.
Rmd	09b27ef	Donghe-Zhu	2021-03-10	local rebuild
html	5d1e70b	Donghe-Zhu	2021-03-10	Build site.
Rmd	6125b2d	Donghe-Zhu	2021-03-10	local rebuild
html	2093979	Donghe-Zhu	2021-03-10	Build site.
Rmd	558d285	Donghe-Zhu	2021-03-10	local rebuild
html	b865899	Donghe-Zhu	2021-03-10	Build site.
html	cc2a956	Donghe-Zhu	2021-03-10	Build site.
Rmd	2a633bd	Donghe-Zhu	2021-03-10	local rebuild
html	60689fb	Donghe-Zhu	2021-03-10	Build site.
html	9230b52	Donghe-Zhu	2021-03-10	Build site.
html	dba33c8	Donghe-Zhu	2021-03-09	Build site.
Rmd	6a60e02	Donghe-Zhu	2021-03-09	local rebuild
html	17f1c4a	Donghe-Zhu	2021-03-09	Build site.
Rmd	4a4a400	Donghe-Zhu	2021-03-09	local rebuild
html	c024d1a	Donghe-Zhu	2021-03-09	Build site.
Rmd	34744ec	Donghe-Zhu	2021-03-09	local rebuild
html	02f7242	Donghe-Zhu	2021-03-09	Build site.
html	6f50bc6	Donghe-Zhu	2021-03-09	Build site.
Rmd	88f0729	Donghe-Zhu	2021-03-09	local rebuild
html	1691156	Donghe-Zhu	2021-03-08	Build site.
html	c0ceaf8	Donghe-Zhu	2021-03-08	Build site.
html	058e0a1	Donghe-Zhu	2021-03-08	Build site.
html	112dea0	Donghe-Zhu	2021-03-08	Build site.
html	1843412	Donghe-Zhu	2021-03-08	Build site.
Rmd	d709f6c	Donghe-Zhu	2021-03-08	local rebuild
html	65b0cef	Donghe-Zhu	2021-03-07	Build site.
html	4083a6c	Donghe-Zhu	2021-03-07	Build site.
html	3fbbfa4	Donghe-Zhu	2021-03-07	Build site.
html	627c8fb	Donghe-Zhu	2021-03-07	Build site.
html	3607f4d	Donghe-Zhu	2021-03-07	Build site.
html	9ef3222	Donghe-Zhu	2021-03-05	Build site.
Rmd	2be54f9	Donghe-Zhu	2021-03-05	local rebuild
html	8c1e978	Donghe-Zhu	2021-03-05	Build site.
html	865f68c	Donghe-Zhu	2021-03-05	Build site.
html	ee69bc1	Donghe-Zhu	2021-03-05	Build site.
html	a79291f	Donghe-Zhu	2021-03-05	Build site.
html	e8c6f30	Donghe-Zhu	2021-03-04	Build site.
html	59288fe	Donghe-Zhu	2021-03-04	Build site.
html	731abc8	Donghe-Zhu	2021-03-04	Build site.
html	e2a5a33	Donghe-Zhu	2021-03-04	Build site.
html	c7892c1	Donghe-Zhu	2021-03-04	Build site.
html	924430b	Donghe-Zhu	2021-03-03	Build site.
html	0d0bca1	Donghe-Zhu	2021-03-03	Build site.
html	cb63c16	Donghe-Zhu	2021-03-03	Build site.
html	ffda45a	Donghe-Zhu	2021-03-03	Build site.
html	691ba81	Donghe-Zhu	2021-03-03	Build site.
html	c5e45a2	Donghe-Zhu	2021-03-03	Build site.
html	89c3e58	Donghe-Zhu	2021-03-03	Build site.
html	c407a50	Donghe-Zhu	2021-03-03	Build site.
html	c911669	Donghe-Zhu	2021-03-03	Build site.
Rmd	e1f9d21	Donghe-Zhu	2021-03-03	local rebuild
html	b71c719	Donghe-Zhu	2021-03-01	Build site.
html	13666ca	Donghe-Zhu	2021-03-01	Build site.
Rmd	c3195f4	Donghe-Zhu	2021-03-01	local rebuild
html	c6e60fe	Donghe-Zhu	2021-03-01	Build site.
Rmd	8ef147d	Donghe-Zhu	2021-03-01	local rebuild
html	7a388f7	Donghe-Zhu	2021-03-01	Build site.
html	799e913	Donghe-Zhu	2021-03-01	Build site.
Rmd	aa780a7	Donghe-Zhu	2021-03-01	local rebuild
html	66ff99f	Donghe-Zhu	2021-03-01	Build site.
html	ac9bb7a	Donghe-Zhu	2021-02-28	Build site.
html	efdc047	Donghe-Zhu	2021-02-28	Build site.
html	e9a7418	Donghe-Zhu	2021-02-28	Build site.
Rmd	eac1b0e	Donghe-Zhu	2021-02-28	local rebuild
html	e152917	Donghe-Zhu	2021-02-28	Build site.
html	feb991c	Donghe-Zhu	2021-02-27	Build site.
Rmd	4563314	Donghe-Zhu	2021-02-27	local rebuild
html	287123c	Donghe-Zhu	2021-02-27	Build site.
Rmd	764a9c2	Donghe-Zhu	2021-02-27	local rebuild
html	54d5b5b	Donghe-Zhu	2021-02-27	Build site.
Rmd	2e836bf	Donghe-Zhu	2021-02-27	local rebuild
html	330f064	Donghe-Zhu	2021-02-27	Build site.
Rmd	f360282	Donghe-Zhu	2021-02-27	local rebuild
html	adbc9bc	Donghe-Zhu	2021-02-27	Build site.
Rmd	a8a8f9c	Donghe-Zhu	2021-02-27	local rebuild
html	5937141	Donghe-Zhu	2021-02-27	Build site.
Rmd	5f0bfca	Donghe-Zhu	2021-02-27	local rebuild
html	4414bbf	Donghe-Zhu	2021-02-27	Build site.
html	a265efb	Donghe-Zhu	2021-02-27	Build site.
html	19edd1e	Donghe-Zhu	2021-02-27	Build site.
Rmd	1ae5bb4	Donghe-Zhu	2021-02-27	local rebuild
html	f20483f	Donghe-Zhu	2021-02-26	Build site.
html	6a2c7b3	Donghe-Zhu	2021-02-25	Build site.
html	02b976d	Donghe-Zhu	2021-02-24	Build site.
html	354c224	Donghe-Zhu	2021-02-24	Build site.
Rmd	d910d39	Donghe-Zhu	2021-02-24	local rebuild
html	1a0a88a	Donghe-Zhu	2021-02-24	Build site.
Rmd	663e891	Donghe-Zhu	2021-02-24	local rebuild
html	57f701e	Donghe-Zhu	2021-02-24	Build site.
html	06f3149	Donghe-Zhu	2021-02-16	Build site.
html	401eab3	Donghe-Zhu	2021-02-15	Build site.
html	e3bba84	Donghe-Zhu	2021-02-15	Build site.
html	5dce4b1	Donghe-Zhu	2021-02-15	Build site.
Rmd	35b0f2e	Donghe-Zhu	2021-02-15	local rebuild
html	4469a0c	Donghe-Zhu	2021-02-13	Build site.
Rmd	8186d57	Donghe-Zhu	2021-02-10	apply nr_obs
html	5ae6a69	Donghe-Zhu	2021-02-10	Build site.
Rmd	eeb6557	Donghe-Zhu	2021-02-10	local rebuild
html	05385dc	Donghe-Zhu	2021-02-10	Build site.
html	f791ae4	Donghe-Zhu	2021-02-09	Build site.
html	f71ae34	Donghe-Zhu	2021-02-09	Build site.
html	c011832	Donghe-Zhu	2021-02-09	Build site.
html	a145fa7	Donghe-Zhu	2021-02-09	Build site.
Rmd	37a41c8	Donghe-Zhu	2021-02-09	local rebuild
html	c344e42	Donghe-Zhu	2021-02-08	Build site.
Rmd	8f5fa79	Donghe-Zhu	2021-02-08	local rebuild
html	2f095d7	Donghe-Zhu	2021-02-07	Build site.
html	2305044	Donghe-Zhu	2021-02-07	Build site.
Rmd	c3638c1	Donghe-Zhu	2021-02-07	local rebuild
html	1fad5f1	Donghe-Zhu	2021-02-07	Build site.
html	ca03c39	Donghe-Zhu	2021-02-07	Build site.
html	e2ffc14	Donghe-Zhu	2021-02-05	Build site.
html	cd7c52c	Donghe-Zhu	2021-02-04	Build site.
Rmd	bcf91a8	jens-daniel-mueller	2021-02-04	separate MLR tables, added plot residuals vs location
html	bcf84f4	Donghe-Zhu	2021-02-02	Build site.
html	a518739	Donghe-Zhu	2021-02-01	Build site.
html	61666de	Donghe-Zhu	2021-01-31	Build site.
html	865b582	Donghe-Zhu	2021-01-31	Build site.
html	3e68089	Donghe-Zhu	2021-01-31	Build site.
html	ecf335c	Donghe-Zhu	2021-01-31	Build site.
html	a618965	Donghe-Zhu	2021-01-31	Build site.
html	59e006e	Donghe-Zhu	2021-01-31	Build site.
html	a1c8f87	Donghe-Zhu	2021-01-31	Build site.
html	ae5c18f	Donghe-Zhu	2021-01-31	Build site.
html	b50fe52	Donghe-Zhu	2021-01-31	Build site.
Rmd	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	b5bdcaf	Donghe-Zhu	2021-01-29	Build site.
Rmd	b234505	Donghe-Zhu	2021-01-29	MLR approach across all depth
html	442010d	Donghe-Zhu	2021-01-29	Build site.
Rmd	e67e7dd	Donghe-Zhu	2021-01-29	surface equilibrium approach across all latitudes irrespective of gamma
html	372adf5	Donghe-Zhu	2021-01-29	Build site.
html	af8788e	Donghe-Zhu	2021-01-29	Build site.
html	21c91c9	Donghe-Zhu	2021-01-29	Build site.
html	eded038	Donghe-Zhu	2021-01-29	Build site.
html	541d4dd	Donghe-Zhu	2021-01-29	Build site.
html	6a75576	Donghe-Zhu	2021-01-28	Build site.
html	16fba40	Donghe-Zhu	2021-01-28	Build site.
Rmd	aecf0c6	Donghe-Zhu	2021-01-28	diagnostic ploting
Rmd	a02684e	Donghe-Zhu	2021-01-28	error
Rmd	4584be9	Donghe-Zhu	2021-01-28	latest
html	12bc567	Donghe-Zhu	2021-01-27	Build site.
html	ceed31b	Donghe-Zhu	2021-01-27	Build site.
html	342402d	Donghe-Zhu	2021-01-27	Build site.
html	5bad5c2	Donghe-Zhu	2021-01-27	Build site.
Rmd	c2c9529	Donghe-Zhu	2021-01-27	random subsetting based on lat
html	61efb56	Donghe-Zhu	2021-01-25	Build site.
html	48f638e	Donghe-Zhu	2021-01-25	Build site.
html	c1cec47	Donghe-Zhu	2021-01-25	Build site.
html	05ffb0c	Donghe-Zhu	2021-01-25	Build site.
html	8b97165	Donghe-Zhu	2021-01-25	Build site.
html	c569946	Donghe-Zhu	2021-01-24	Build site.
html	a2f0d56	Donghe-Zhu	2021-01-23	Build site.
html	28509fc	Donghe-Zhu	2021-01-23	Build site.
html	4c28e4a	Donghe-Zhu	2021-01-22	Build site.
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, oxygen, aou, nitrate

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
# lm_rm_si <- lm_all %>%
#   filter(str_detect(lm_coeff, "silicate_star")) %>%
#   mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
#   filter(str_detect(lm_coeff_filter, "silicate") &
#            str_detect(lm_coeff_filter, "nitrate")) %>%
#   select(-lm_coeff_filter)

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

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

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

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 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]	4	cstar_tref ~ sal + oxygen + aou + nitrate	216	5.8667116	1389.31657	117.178025	18.7806395	1982-1999 –> 2000-2009	13.6505954	7.7838838	3296.47927	316.593872	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	216	6.0263512	1400.91467	44.635506	21.0404500	1982-1999 –> 2000-2009	13.8756966	7.8493454	3312.64996	112.360101	2	5
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + nitrate	216	6.2590280	1415.28021	39.770855	19.4773634	1982-1999 –> 2000-2009	14.0592450	7.8002170	3321.58739	112.727773	3	5
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	216	6.2653593	1415.71697	39.866206	20.1400804	1982-1999 –> 2000-2009	14.1994223	7.9340630	3331.31364	102.646363	4	9
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	216	6.3038620	1420.36363	49.812961	24.3597400	1982-1999 –> 2000-2009	14.4566754	8.1528134	3352.81031	113.463070	5	11
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + oxygen + nitrate	216	6.3771923	1423.35991	48.099410	23.1404101	1982-1999 –> 2000-2009	14.7644494	8.3872570	3369.28594	110.089542	6	13
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	216	7.3814766	1486.53808	41.158437	21.8383065	1982-1999 –> 2000-2009	15.2908836	7.9094071	3400.43536	102.516999	7	11
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + oxygen + nitrate	216	9.3194168	1587.24867	21.241659	26.5063060	1982-1999 –> 2000-2009	18.3865710	9.0671542	3575.73262	46.761550	10	18
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + temp + nitrate	216	9.1911525	1581.26170	11.427036	23.5865838	1982-1999 –> 2000-2009	19.2748525	10.0837000	3627.76460	23.465094	8	17
Atlantic	(-Inf,26]	2	cstar_tref ~ temp + nitrate	216	9.1954507	1579.46368	1.017392	23.4221370	1982-1999 –> 2000-2009	19.6431630	10.4477123	3643.32926	2.314883	9	21
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	301	6.2520373	1969.61124	124.303282	22.1301715	2000-2009 –> 2010-2019	12.1187489	5.8667116	3358.92781	241.481307	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	301	6.3848410	1982.26480	36.066731	22.6145174	2000-2009 –> 2010-2019	12.4111922	6.0263512	3383.17947	80.702237	2	4
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + nitrate	301	6.5114498	1992.08540	33.358852	20.9144867	2000-2009 –> 2010-2019	12.7704778	6.2590280	3407.36561	73.129708	3	6
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	301	6.5155487	1992.46424	32.425952	21.3326731	2000-2009 –> 2010-2019	12.7809080	6.2653593	3408.18121	72.292159	4	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	301	6.5582871	1998.40013	41.140789	23.3086187	2000-2009 –> 2010-2019	12.8621491	6.3038620	3418.76376	90.953750	5	10
Atlantic	(-Inf,26]	3	cstar_tref ~ temp + oxygen + nitrate	301	6.5892484	1999.23545	39.605040	22.4544788	2000-2009 –> 2010-2019	12.9664408	6.3771923	3422.59536	87.704450	6	12
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	301	7.4133932	2070.18053	33.135158	21.1843700	2000-2009 –> 2010-2019	14.7948698	7.3814766	3556.71861	74.293594	7	14
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + temp + nitrate	301	8.6601543	2163.75798	14.548615	21.6511838	2000-2009 –> 2010-2019	17.8513067	9.1911525	3745.01969	25.975651	8	16
Atlantic	(-Inf,26]	2	cstar_tref ~ temp + nitrate	301	8.6725458	2162.61875	1.007968	21.7106100	2000-2009 –> 2010-2019	17.8679966	9.1954507	3742.08243	2.025361	9	18
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + oxygen + nitrate	301	8.6749609	2164.78637	19.826320	22.4145623	2000-2009 –> 2010-2019	17.9943776	9.3194168	3752.03503	41.067979	10	20
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	782	4.8647317	4705.48597	109.642296	22.2809084	1982-1999 –> 2000-2009	10.6017685	5.7370367	10390.74536	243.241128	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	782	4.9518598	4733.24956	108.378811	23.7191924	1982-1999 –> 2000-2009	10.7793092	5.8274493	10446.52969	240.309652	3	5
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	782	4.9390293	4727.19188	66.870957	21.9489397	1982-1999 –> 2000-2009	10.8081063	5.8690771	10451.22746	185.132700	2	5
Atlantic	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	782	4.9597456	4733.73823	122.398297	21.2645101	1982-1999 –> 2000-2009	10.8640037	5.9042581	10468.48353	349.275430	4	9
Atlantic	(26,26.5]	3	cstar_tref ~ temp + oxygen + nitrate	782	4.9767723	4739.09821	70.376053	23.0424024	1982-1999 –> 2000-2009	10.8665108	5.8897385	10469.43125	191.604977	5	9
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	782	5.9641402	5022.15618	57.909405	25.7864489	1982-1999 –> 2000-2009	12.8821389	6.9179987	11040.84876	154.843368	6	12
Atlantic	(26,26.5]	3	cstar_tref ~ sal + oxygen + nitrate	782	6.7901984	5225.03084	33.024863	30.1585759	1982-1999 –> 2000-2009	14.6501370	7.8599386	11472.47630	86.060458	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + temp + nitrate	782	8.2487217	5529.35096	14.382570	35.7287693	1982-1999 –> 2000-2009	16.8137817	8.5650600	11930.75133	31.864906	8	16
Atlantic	(26,26.5]	2	cstar_tref ~ sal + nitrate	782	8.3505836	5546.54622	1.029976	35.1406273	1982-1999 –> 2000-2009	16.9594418	8.6088582	11955.08678	2.242633	9	19
Atlantic	(26,26.5]	2	cstar_tref ~ temp + nitrate	782	9.1588313	5691.03973	1.071779	33.0431181	1982-1999 –> 2000-2009	17.7595896	8.6007583	12097.89345	2.409497	10	19
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	974	5.3721831	6051.13681	74.268145	28.5412570	2000-2009 –> 2010-2019	10.2369149	4.8647317	10756.62278	183.910440	1	2
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	974	5.4923157	6094.21799	73.970467	26.2257100	2000-2009 –> 2010-2019	10.4441755	4.9518598	10827.46755	182.349277	2	5
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	974	5.5105416	6098.67161	57.746844	24.1075620	2000-2009 –> 2010-2019	10.4495709	4.9390293	10825.86349	124.617801	4	6
Atlantic	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	974	5.5047592	6096.62646	100.043856	24.3102902	2000-2009 –> 2010-2019	10.4645049	4.9597456	10830.36469	222.442154	3	7
Atlantic	(26,26.5]	3	cstar_tref ~ temp + oxygen + nitrate	974	5.5691231	6119.27112	59.812913	23.2734441	2000-2009 –> 2010-2019	10.5458954	4.9767723	10858.36934	130.188966	5	10
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	974	6.6959812	6478.22893	50.475615	24.7311694	2000-2009 –> 2010-2019	12.6601215	5.9641402	11500.38512	108.385020	6	12
Atlantic	(26,26.5]	3	cstar_tref ~ sal + oxygen + nitrate	974	7.6613006	6740.57434	28.799072	28.9813617	2000-2009 –> 2010-2019	14.4514991	6.7901984	11965.60519	61.823935	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + temp + nitrate	974	8.5894780	6963.34022	17.138745	32.0479496	2000-2009 –> 2010-2019	16.8381997	8.2487217	12492.69119	31.521315	8	16
Atlantic	(26,26.5]	2	cstar_tref ~ sal + nitrate	974	8.6092233	6965.81311	1.047171	31.8985636	2000-2009 –> 2010-2019	16.9598069	8.3505836	12512.35932	2.077148	9	18
Atlantic	(26,26.5]	2	cstar_tref ~ temp + nitrate	974	8.7859915	7005.40518	1.111822	32.6422883	2000-2009 –> 2010-2019	17.9448228	9.1588313	12696.44491	2.183601	10	20
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	841	3.5353221	4522.69161	158.474773	10.8361305	1982-1999 –> 2000-2009	7.6239397	4.0886176	9629.20773	272.882598	1	2
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	841	3.5446074	4527.10350	167.047257	10.4394186	1982-1999 –> 2000-2009	7.6451350	4.1005276	9638.86113	283.050719	2	4
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	841	3.6156261	4558.47041	111.681861	10.5827486	1982-1999 –> 2000-2009	7.9067406	4.2911145	9750.09443	193.323708	3	9
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	841	3.8016816	4642.87058	328.460832	11.6014645	1982-1999 –> 2000-2009	7.9683903	4.1667087	9781.47965	640.804267	4	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	841	3.8741709	4674.64048	132.499095	12.5169296	1982-1999 –> 2000-2009	8.0381403	4.1639694	9812.06451	231.714245	5	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + oxygen + nitrate	841	3.9709805	4716.15456	130.491586	13.0438978	1982-1999 –> 2000-2009	8.1571687	4.1861882	9863.16842	230.545669	7	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + nitrate	841	3.9703829	4715.90141	75.656638	15.7458326	1982-1999 –> 2000-2009	8.6678480	4.6974651	10070.56412	135.783227	6	13
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	841	6.1534275	5452.86415	23.027578	29.2862254	1982-1999 –> 2000-2009	13.0257686	6.8723412	11493.15509	45.048718	8	16
Atlantic	(26.5,26.75]	2	cstar_tref ~ sal + nitrate	841	6.7188116	5598.71540	1.179612	24.6542436	1982-1999 –> 2000-2009	13.8963283	7.1775167	11715.30078	2.395903	9	18
Atlantic	(26.5,26.75]	2	cstar_tref ~ temp + nitrate	841	7.5662964	5798.52424	1.166615	24.3124758	1982-1999 –> 2000-2009	15.1109255	7.5446291	12004.99782	2.378749	10	20
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	845	4.0962418	4793.02429	125.246518	16.7148386	2000-2009 –> 2010-2019	7.6408492	3.5446074	9320.12780	292.293775	1	3
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	845	4.1589712	4818.70860	123.622238	17.6787063	2000-2009 –> 2010-2019	7.6942933	3.5353221	9341.40021	282.097011	3	4
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	845	4.1395037	4808.77941	79.304940	17.2970300	2000-2009 –> 2010-2019	7.7551299	3.6156261	9367.24982	190.986802	2	5
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	845	4.2851608	4867.22329	268.475492	21.1482913	2000-2009 –> 2010-2019	8.0868424	3.8016816	9510.09386	596.936324	4	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	845	4.3975699	4910.98417	98.349590	21.3282734	2000-2009 –> 2010-2019	8.2717408	3.8741709	9585.62465	230.848685	5	10
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + nitrate	845	4.4579703	4934.03824	54.344915	20.2159560	2000-2009 –> 2010-2019	8.4283532	3.9703829	9649.93965	130.001553	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + oxygen + nitrate	845	4.5079017	4952.86186	98.948064	21.1120950	2000-2009 –> 2010-2019	8.4788823	3.9709805	9669.01642	229.439649	7	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	845	6.2449970	5503.71543	28.204671	28.2666935	2000-2009 –> 2010-2019	12.3984244	6.1534275	10956.57958	51.232250	8	16
Atlantic	(26.5,26.75]	2	cstar_tref ~ sal + nitrate	845	6.8205535	5650.70577	1.093548	33.1089912	2000-2009 –> 2010-2019	13.5393650	6.7188116	11249.42117	2.273160	9	18
Atlantic	(26.5,26.75]	2	cstar_tref ~ temp + nitrate	845	7.5297654	5817.88608	1.114397	35.8316418	2000-2009 –> 2010-2019	15.0960618	7.5662964	11616.41032	2.281012	10	20
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1204	3.3585185	6346.09590	79.807391	32.1966643	1982-1999 –> 2000-2009	6.6036910	3.2451725	13912.76736	190.175252	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1204	3.4186287	6388.81270	75.417293	33.5721581	1982-1999 –> 2000-2009	6.6879228	3.2692941	13977.03447	180.436733	3	5
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1204	3.3723825	6354.01570	67.910573	33.3538730	1982-1999 –> 2000-2009	6.7069579	3.3345753	13997.77177	165.606033	2	5
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	1204	3.7119771	6585.05167	51.292866	38.8859748	1982-1999 –> 2000-2009	7.5699939	3.8580168	14653.10882	124.672085	4	8
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	1204	4.1217569	6837.20504	400.154130	19.9028663	1982-1999 –> 2000-2009	7.9972965	3.8755396	14918.44925	988.150435	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	1204	4.3401533	6961.53049	79.766604	21.5651258	1982-1999 –> 2000-2009	8.3172638	3.9771104	15118.05823	189.049057	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	1204	4.4698294	7032.42340	75.417078	22.5763564	1982-1999 –> 2000-2009	8.5209345	4.0511050	15242.59452	178.985980	7	14
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + nitrate	1204	6.3093682	7862.42560	19.639195	42.6736944	1982-1999 –> 2000-2009	12.6714535	6.3620853	17386.07326	37.119815	8	16
Atlantic	(26.75,27]	2	cstar_tref ~ sal + nitrate	1204	6.5999991	7968.86738	1.427506	36.3154827	1982-1999 –> 2000-2009	13.0831902	6.4831911	17545.38787	3.011310	9	18
Atlantic	(26.75,27]	2	cstar_tref ~ temp + nitrate	1204	6.9810293	8104.02084	1.391943	31.3667219	1982-1999 –> 2000-2009	13.6335415	6.6525122	17755.56612	2.865602	10	20
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1206	3.4876689	6447.63113	77.422061	18.3880883	2000-2009 –> 2010-2019	6.8461874	3.3585185	12793.72703	157.229452	1	2
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1206	3.4941106	6450.08194	56.063597	18.2408998	2000-2009 –> 2010-2019	6.8664931	3.3723825	12804.09764	123.974170	2	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1206	3.5212212	6470.72428	73.284246	18.4994748	2000-2009 –> 2010-2019	6.9398498	3.4186287	12859.53698	148.701539	3	6
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	1206	3.7397126	6613.92886	39.278802	17.4278564	2000-2009 –> 2010-2019	7.4516897	3.7119771	13198.98053	90.571669	4	8
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	1206	4.5716568	7098.41985	428.378047	18.8802909	2000-2009 –> 2010-2019	8.6934137	4.1217569	13935.62489	828.532178	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	1206	4.7196960	7175.28721	76.117388	19.1465476	2000-2009 –> 2010-2019	9.0598493	4.3401533	14136.81770	155.883992	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	1206	4.8014890	7216.72942	72.331538	19.2394274	2000-2009 –> 2010-2019	9.2713184	4.4698294	14249.15282	147.748616	7	14
Atlantic	(26.75,27]	3	cstar_tref ~ sal + temp + nitrate	1206	5.8531745	7694.44554	17.888275	20.9485130	2000-2009 –> 2010-2019	12.1625427	6.3093682	15556.87114	37.527470	8	16
Atlantic	(26.75,27]	2	cstar_tref ~ sal + nitrate	1206	6.4325960	7920.12395	1.196584	19.7944155	2000-2009 –> 2010-2019	13.0325952	6.5999991	15888.99133	2.624089	9	18
Atlantic	(26.75,27]	2	cstar_tref ~ temp + nitrate	1206	7.0249942	8132.61196	1.187950	21.9140961	2000-2009 –> 2010-2019	14.0060235	6.9810293	16236.63280	2.579892	10	20
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1426	3.4638389	7602.07328	357.681306	35.7762627	1982-1999 –> 2000-2009	6.4940892	3.0302503	18684.89011	875.341074	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1426	3.4921926	7625.32365	34.668762	36.9348292	1982-1999 –> 2000-2009	6.5356298	3.0434372	18727.15986	106.115714	2	4
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1426	3.5326955	7656.21119	32.757630	38.7131208	1982-1999 –> 2000-2009	6.6132876	3.0805921	18809.19551	97.974937	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1426	3.5514640	7673.32317	32.910814	37.8723229	1982-1999 –> 2000-2009	6.6450817	3.0936177	18846.78826	102.739362	4	8
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	1426	3.8566633	7906.44906	26.293519	41.3273381	1982-1999 –> 2000-2009	7.4378630	3.5811998	19718.95653	77.024996	5	10
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	1426	4.1296880	8101.52442	218.733968	22.2108983	1982-1999 –> 2000-2009	8.3220450	4.1923570	20604.16758	611.779292	6	12
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1426	4.2039727	8152.37015	29.605056	24.4776076	1982-1999 –> 2000-2009	8.4763702	4.2723974	20737.84801	84.998035	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	1426	4.2414952	8177.71267	28.113388	25.3354075	1982-1999 –> 2000-2009	8.5610769	4.3195818	20811.29803	81.847410	8	16
Atlantic	(27,27.25]	2	cstar_tref ~ aou + nitrate	1426	5.6778891	9007.53749	3.896074	28.6868232	1982-1999 –> 2000-2009	11.1152977	5.4374086	22647.15360	10.243027	12	21
Atlantic	(27,27.25]	2	cstar_tref ~ oxygen + nitrate	1426	5.7219889	9029.60322	1.935216	29.1918016	1982-1999 –> 2000-2009	11.3947762	5.6727873	22854.83493	4.814142	13	23
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1593	4.2990014	9179.14568	464.139971	30.2338735	2000-2009 –> 2010-2019	7.7628403	3.4638389	16781.21896	821.821277	1	2
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1593	4.3086715	9184.30414	36.408692	30.6212837	2000-2009 –> 2010-2019	7.8413670	3.5326955	16840.51533	69.166322	2	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1593	4.4083662	9259.18237	40.786464	32.3250648	2000-2009 –> 2010-2019	7.9598302	3.5514640	16932.50554	73.697278	3	6
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	1593	4.5648352	9368.30456	26.870193	31.4441694	2000-2009 –> 2010-2019	8.4214985	3.8566633	17274.75363	53.163712	4	8
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	1593	5.6611287	10054.06195	344.876752	18.9703309	2000-2009 –> 2010-2019	9.7908167	4.1296880	18155.58637	563.610719	5	10
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1593	5.7333679	10094.45994	37.665850	22.7078070	2000-2009 –> 2010-2019	9.9373406	4.2039727	18246.83009	67.270905	6	12
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	1593	5.7702394	10114.88360	35.928287	24.1405780	2000-2009 –> 2010-2019	10.0117346	4.2414952	18292.59627	64.041675	7	14
Atlantic	(27,27.25]	3	cstar_tref ~ sal + temp + nitrate	1593	6.5842223	10535.31661	18.863539	24.1948501	2000-2009 –> 2010-2019	12.1326323	5.5484100	19479.06383	39.004630	8	16
Atlantic	(27,27.25]	2	cstar_tref ~ aou + nitrate	1593	6.8283694	10649.31787	3.432517	23.5468229	2000-2009 –> 2010-2019	12.5062585	5.6778891	19656.85536	7.328592	9	20
Atlantic	(27,27.25]	2	cstar_tref ~ sal + nitrate	1593	6.9600807	10710.18692	1.498782	22.4862381	2000-2009 –> 2010-2019	12.5375572	5.5774765	19666.83591	3.207586	11	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2097	3.4750209	11187.07670	195.654346	21.3548995	1982-1999 –> 2000-2009	6.8017247	3.3267038	23989.16874	428.631345	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2097	3.5040002	11221.90678	25.305448	22.3100511	1982-1999 –> 2000-2009	6.8676002	3.3635999	24077.82447	109.384956	2	4
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2097	3.5491774	11273.63447	21.112274	23.6983619	1982-1999 –> 2000-2009	6.9382885	3.3891112	24164.42487	97.085738	4	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2097	3.5292879	11252.06536	26.437939	22.3986334	1982-1999 –> 2000-2009	6.9806825	3.4513946	24233.72387	103.881125	3	7
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + nitrate	2097	3.6519113	11393.30958	17.176236	23.0257103	1982-1999 –> 2000-2009	7.3188866	3.6669753	24668.64127	69.408514	8	13
Atlantic	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + nitrate	2097	3.5693466	11297.40058	124.570433	14.9955080	1982-1999 –> 2000-2009	7.4368994	3.8675529	24832.61588	356.379406	5	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	2097	3.6034780	11337.31468	18.629772	16.4402992	1982-1999 –> 2000-2009	7.4979191	3.8944411	24906.33961	59.450496	6	13
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	2097	3.6192138	11355.58930	17.663806	16.7976004	1982-1999 –> 2000-2009	7.5343073	3.9150935	24950.42473	56.672593	7	15
Atlantic	(27.25,27.5]	2	cstar_tref ~ aou + nitrate	2097	4.1142695	11891.27891	2.219816	15.1007003	1982-1999 –> 2000-2009	8.2464285	4.1321590	25747.44312	4.130892	13	22
Atlantic	(27.25,27.5]	2	cstar_tref ~ oxygen + nitrate	2097	4.1027331	11879.50241	1.269437	15.4391109	1982-1999 –> 2000-2009	8.3220224	4.2192893	25837.49599	2.396140	12	22
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2147	4.9438419	12967.34704	146.835702	51.6646661	2000-2009 –> 2010-2019	8.4188629	3.4750209	24154.42373	342.490048	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2147	4.9521562	12974.56232	36.501624	49.6307764	2000-2009 –> 2010-2019	8.4561564	3.5040002	24196.46910	61.807071	2	4
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2147	4.9555156	12975.47427	32.570839	48.3471204	2000-2009 –> 2010-2019	8.5046929	3.5491774	24249.10874	53.683113	3	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2147	4.9819561	13000.32429	35.350215	45.8871812	2000-2009 –> 2010-2019	8.5112440	3.5292879	24252.38965	61.788154	4	7
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + nitrate	2147	5.0479016	13054.79053	30.578778	36.7938466	2000-2009 –> 2010-2019	8.6998129	3.6519113	24448.10011	47.755014	5	13
Atlantic	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + nitrate	2147	5.3265424	13285.50583	139.680080	26.5804955	2000-2009 –> 2010-2019	8.8958890	3.5693466	24582.90642	264.250514	6	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	2147	5.3357299	13292.90598	22.603318	25.0133506	2000-2009 –> 2010-2019	8.9392079	3.6034780	24630.22066	41.233091	7	13
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	2147	5.3419200	13297.88466	31.060749	25.1577951	2000-2009 –> 2010-2019	8.9611338	3.6192138	24653.47396	48.724555	8	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + temp + nitrate	2147	5.4616978	13393.10222	24.242122	25.6484512	2000-2009 –> 2010-2019	9.4528047	3.9911068	25158.91411	46.796596	9	18
Atlantic	(27.25,27.5]	2	cstar_tref ~ sal + nitrate	2147	5.5159904	13433.57638	2.730695	26.8593616	2000-2009 –> 2010-2019	9.5079436	3.9919532	25198.27758	4.798175	10	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2816	5.0226210	17093.23893	30.154177	21.2391232	1982-1999 –> 2000-2009	9.1359576	4.1133366	35917.50806	67.404160	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2816	5.0509340	17124.89800	23.769629	20.1150476	1982-1999 –> 2000-2009	9.1733492	4.1224152	35963.80617	62.209485	5	7
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2816	5.0443163	17117.51412	126.897151	21.7437169	1982-1999 –> 2000-2009	9.1770785	4.1327622	35973.06736	250.547011	3	6
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	2816	5.0469213	17118.42187	11.923608	22.4783096	1982-1999 –> 2000-2009	9.1800791	4.1331577	35972.61063	33.958188	4	9
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	2816	5.0510237	17122.99797	18.131666	20.2373976	1982-1999 –> 2000-2009	9.1837903	4.1327666	35976.55827	50.540089	6	10
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	2816	5.0228223	17091.46467	20.271454	21.0320806	1982-1999 –> 2000-2009	9.1975147	4.1746925	36012.04672	49.231208	2	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	2816	5.0534291	17125.67941	96.862707	20.0463342	1982-1999 –> 2000-2009	9.2257507	4.1723216	36042.48944	204.424955	8	16
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	2816	5.0519095	17123.98558	22.787949	19.6571208	1982-1999 –> 2000-2009	9.2367670	4.1848575	36060.71580	54.137937	7	18
Atlantic	(27.5,27.75]	2	cstar_tref ~ oxygen + nitrate	2816	5.0658475	17137.50259	1.138513	20.7801326	1982-1999 –> 2000-2009	9.2412497	4.1754023	36057.21354	2.210466	10	20
Atlantic	(27.5,27.75]	2	cstar_tref ~ aou + nitrate	2816	5.0541104	17124.43868	2.432913	19.8113533	1982-1999 –> 2000-2009	9.2445492	4.1904387	36068.01866	4.749216	9	21
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3020	5.9592942	19363.49918	27.136738	22.1963732	2000-2009 –> 2010-2019	10.9819152	5.0226210	36456.73810	57.290915	1	2
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	3020	6.0088750	19411.54345	17.880443	23.2800837	2000-2009 –> 2010-2019	11.0316972	5.0228223	36503.00812	38.151897	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	3020	6.0144085	19419.10315	19.815808	21.0983613	2000-2009 –> 2010-2019	11.0653426	5.0509340	36544.00115	43.585437	3	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3020	6.0544573	19459.18897	91.928418	20.8086304	2000-2009 –> 2010-2019	11.0987736	5.0443163	36576.70309	218.825568	4	7
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	3020	6.0603137	19463.02856	18.175182	22.1725504	2000-2009 –> 2010-2019	11.1122232	5.0519095	36587.01414	40.963131	5	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	3020	6.0664914	19469.18240	16.589220	21.0335507	2000-2009 –> 2010-2019	11.1175151	5.0510237	36592.18037	34.720885	6	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	3020	6.0704263	19473.09888	65.979070	21.6811646	2000-2009 –> 2010-2019	11.1238554	5.0534291	36598.77830	162.841777	7	15
Atlantic	(27.5,27.75]	2	cstar_tref ~ aou + nitrate	3020	6.0713066	19471.97472	2.176942	21.5653812	2000-2009 –> 2010-2019	11.1254170	5.0541104	36596.41340	4.609854	8	17
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	3020	6.1325606	19534.60756	12.171712	20.2434473	2000-2009 –> 2010-2019	11.1794820	5.0469213	36653.02942	24.095319	9	13
Atlantic	(27.5,27.75]	2	cstar_tref ~ oxygen + nitrate	3020	6.1332575	19533.29383	1.097326	19.9934694	2000-2009 –> 2010-2019	11.1991050	5.0658475	36670.79642	2.235839	10	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1668	7.2024580	11332.25194	56.018515	37.5041372	1982-1999 –> 2000-2009	13.5958419	6.3933839	23373.67090	108.464843	1	4
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	1668	7.2040705	11330.99870	22.730896	38.4956798	1982-1999 –> 2000-2009	13.5986865	6.3946160	23371.12563	73.702538	2	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1668	7.2366336	11348.04377	312.018781	39.8764471	1982-1999 –> 2000-2009	13.5995319	6.3628983	23371.90209	635.061401	3	4
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + nitrate	1668	7.2368892	11346.16159	10.422819	39.5944129	1982-1999 –> 2000-2009	13.6309142	6.3940250	23385.94898	34.364340	4	8
Atlantic	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + nitrate	1668	7.2630566	11358.20226	129.828509	34.5916540	1982-1999 –> 2000-2009	13.6486452	6.3855887	23393.13892	352.121364	8	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1668	7.2627443	11360.05886	38.934384	35.6308606	1982-1999 –> 2000-2009	13.6862600	6.4235157	23418.75256	94.276000	5	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	1668	7.2628051	11358.08676	27.236341	35.4230309	1982-1999 –> 2000-2009	13.6874330	6.4246279	23415.41657	82.008681	6	14
Atlantic	(27.75,27.85]	2	cstar_tref ~ oxygen + nitrate	1668	7.2911078	11369.06170	1.612821	32.7223785	1982-1999 –> 2000-2009	13.6890600	6.3979522	23409.10493	3.187832	10	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	1668	7.2628913	11358.12637	17.313716	35.8649728	1982-1999 –> 2000-2009	13.6978316	6.4349403	23421.34871	56.900174	7	16
Atlantic	(27.75,27.85]	2	cstar_tref ~ aou + nitrate	1668	7.2649703	11357.08115	4.316291	34.8625354	1982-1999 –> 2000-2009	13.7057169	6.4407465	23421.61706	8.558542	9	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2006	8.4139971	14249.92671	320.447387	22.5533481	2000-2009 –> 2010-2019	15.6506307	7.2366336	25597.97049	632.466168	1	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2006	8.4971166	14289.36565	42.726960	22.0126205	2000-2009 –> 2010-2019	15.6995746	7.2024580	25621.61759	98.745475	2	3
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + nitrate	2006	8.5027068	14290.00424	14.268679	21.6708229	2000-2009 –> 2010-2019	15.7395959	7.2368892	25636.16583	24.691499	3	7
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	2006	8.5709805	14322.09055	28.861943	27.6573214	2000-2009 –> 2010-2019	15.7750510	7.2040705	25653.08925	51.592839	4	6
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2006	8.5833244	14329.86445	33.213198	22.4108719	2000-2009 –> 2010-2019	15.8460688	7.2627443	25689.92331	72.147582	5	10
Atlantic	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + nitrate	2006	8.6345374	14351.73118	146.647519	39.7525502	2000-2009 –> 2010-2019	15.8975939	7.2630566	25709.93344	276.476028	6	14
Atlantic	(27.75,27.85]	2	cstar_tref ~ oxygen + nitrate	2006	8.6397501	14352.15252	2.120065	42.7289042	2000-2009 –> 2010-2019	15.9308579	7.2911078	25721.21422	3.732886	7	17
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	2006	8.6851641	14375.18597	31.787085	35.1014567	2000-2009 –> 2010-2019	15.9479692	7.2628051	25733.27272	59.023425	8	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2006	8.6975412	14380.89936	21.537077	25.2386525	2000-2009 –> 2010-2019	15.9604326	7.2628913	25739.02572	38.850793	9	16
Atlantic	(27.75,27.85]	2	cstar_tref ~ aou + nitrate	2006	8.6993097	14379.71505	5.896486	28.4269625	2000-2009 –> 2010-2019	15.9642800	7.2649703	25736.79620	10.212777	10	19
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5232	7.7538061	36291.96848	350.561796	31.4764522	1982-1999 –> 2000-2009	13.3447901	5.5909839	67717.46705	848.248615	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5232	7.8141885	36373.14073	57.264575	30.8803607	1982-1999 –> 2000-2009	13.4867181	5.6725296	67943.49591	115.525405	2	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	5232	7.9024987	36490.73389	34.332475	26.0336160	1982-1999 –> 2000-2009	13.5252873	5.6227886	67972.97967	96.303080	5	7
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	5232	7.9064937	36494.02243	13.034909	25.7979864	1982-1999 –> 2000-2009	13.5496420	5.6431483	68010.42648	44.793184	6	9
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + nitrate	5232	7.8337465	36397.29817	7.091688	29.7922201	1982-1999 –> 2000-2009	13.5840983	5.7503518	68101.96661	24.970435	4	9
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + nitrate	5232	8.0013663	36618.83604	13.481143	24.8493854	1982-1999 –> 2000-2009	14.0396027	6.0382364	68812.20939	22.211181	11	17
Atlantic	(27.85,27.95]	2	cstar_tref ~ sal + nitrate	5232	8.2380559	36921.88325	1.223205	29.9026344	1982-1999 –> 2000-2009	14.4980605	6.2600046	69474.09029	2.574019	13	20
Atlantic	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + nitrate	5232	7.9066016	36494.16531	114.254127	29.0272016	1982-1999 –> 2000-2009	14.6259599	6.7193583	69756.77295	492.907134	7	15
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + nitrate	5232	7.8142728	36371.25357	18.441372	30.9598094	1982-1999 –> 2000-2009	14.7709294	6.9566566	69981.06335	76.410536	3	13
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	5232	7.9109796	36499.95767	22.973315	24.7637906	1982-1999 –> 2000-2009	14.8084642	6.8974846	70024.31133	84.763582	8	17
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5319	9.7753672	39359.87910	38.496895	179.6770637	2000-2009 –> 2010-2019	17.5895557	7.8141885	75733.01983	95.761470	1	3
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5319	9.9104146	39505.83798	385.051632	179.4139222	2000-2009 –> 2010-2019	17.6642208	7.7538061	75797.80646	735.613428	3	4
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + nitrate	5319	9.9111534	39504.63093	15.740376	178.5928025	2000-2009 –> 2010-2019	17.7448999	7.8337465	75901.92910	22.832064	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	5319	9.8898643	39483.75605	41.534232	190.1666978	2000-2009 –> 2010-2019	17.7923630	7.9024987	75974.48994	75.866707	2	7
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	5319	9.9204769	39514.63345	25.682577	184.7447483	2000-2009 –> 2010-2019	17.8269705	7.9064937	76008.65589	38.717486	5	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + nitrate	5319	10.1511865	39759.19691	38.020715	98.6988522	2000-2009 –> 2010-2019	17.9654593	7.8142728	76130.45048	56.462087	7	10
Atlantic	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + nitrate	5319	10.0807518	39685.12708	246.983249	113.4859622	2000-2009 –> 2010-2019	17.9873534	7.9066016	76179.29239	361.237376	6	13
Atlantic	(27.85,27.95]	2	cstar_tref ~ oxygen + nitrate	5319	10.1553461	39761.55500	3.927885	91.0765370	2000-2009 –> 2010-2019	18.0665331	7.9111871	76259.78719	5.892606	8	17
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	5319	10.2272588	39838.62012	41.249056	110.9608935	2000-2009 –> 2010-2019	18.1382384	7.9109796	76338.57780	64.222371	10	18
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + nitrate	5319	10.1865019	39796.14160	7.540264	221.3180199	2000-2009 –> 2010-2019	18.1878681	8.0013663	76414.97764	21.021407	9	20
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3846	7.1916273	26102.15646	125.369699	50.6203994	1982-1999 –> 2000-2009	11.1092743	3.9176469	51987.07751	275.666360	1	3
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	3846	7.4170216	26339.53231	83.432921	51.2986244	1982-1999 –> 2000-2009	11.3454169	3.9283953	52249.91178	241.004934	3	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3846	7.6312093	26558.51395	378.189571	46.2257326	1982-1999 –> 2000-2009	11.4625439	3.8313345	52236.42773	1165.017274	5	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	3846	7.7123803	26637.89947	24.422997	55.1984117	1982-1999 –> 2000-2009	11.6815210	3.9691407	52642.15943	89.833158	7	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + nitrate	3846	7.9367761	26858.50832	12.043022	57.1001590	1982-1999 –> 2000-2009	11.8575458	3.9207696	52748.83298	41.189442	8	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + nitrate	3846	9.0662859	27881.97139	53.557744	24.5537995	1982-1999 –> 2000-2009	12.9948792	3.9285933	53790.81931	58.758990	10	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	3846	7.2798668	26193.96100	29.449966	56.9024822	1982-1999 –> 2000-2009	13.1794476	5.8995808	55880.93493	121.585537	2	13
Atlantic	(27.95,28.05]	2	cstar_tref ~ sal + nitrate	3846	9.1528344	27953.05246	1.332549	21.0637047	1982-1999 –> 2000-2009	13.1814195	4.0285850	54093.44342	2.820571	12	19
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	3846	7.4415386	26362.91628	37.844245	47.6447809	1982-1999 –> 2000-2009	13.2625584	5.8210198	55925.32318	136.374075	4	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	3846	7.6795276	26605.06363	128.885429	50.8473789	1982-1999 –> 2000-2009	13.4543753	5.7748477	56093.47285	880.130685	6	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3994	7.8869789	27843.40367	55.184887	76.8352142	2000-2009 –> 2010-2019	15.0786062	7.1916273	53945.56013	180.554586	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	3994	8.0286453	27985.61124	55.175761	80.1484656	2000-2009 –> 2010-2019	15.4456669	7.4170216	54325.14355	138.608683	2	5
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	3994	8.4745374	28415.36477	26.634097	58.2664580	2000-2009 –> 2010-2019	15.7544042	7.2798668	54609.32578	56.084062	6	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	3994	8.4406207	28383.33114	35.584081	62.5054748	2000-2009 –> 2010-2019	15.8821593	7.4415386	54746.24742	73.428325	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3994	8.3448258	28294.15476	504.504467	81.4717775	2000-2009 –> 2010-2019	15.9760351	7.6312093	54852.66871	882.694038	3	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	3994	8.4531032	28395.13551	180.840117	71.2041523	2000-2009 –> 2010-2019	16.1326308	7.6795276	55000.19915	309.725545	5	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	3994	9.1072650	28990.55173	18.703188	52.8465577	2000-2009 –> 2010-2019	16.8196453	7.7123803	55628.45120	43.126185	7	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + nitrate	3994	9.4955958	29324.09580	8.749318	47.2445985	2000-2009 –> 2010-2019	17.4323720	7.9367761	56182.60412	20.792340	8	16
Atlantic	(27.95,28.05]	2	cstar_tref ~ aou + nitrate	3994	9.8365309	29603.87254	8.704285	60.0859589	2000-2009 –> 2010-2019	18.8072769	8.9707461	57402.35609	13.770271	9	18
Atlantic	(27.95,28.05]	2	cstar_tref ~ oxygen + nitrate	3994	10.2311255	29918.05251	2.565370	57.4323514	2000-2009 –> 2010-2019	19.3581947	9.1270693	57849.42149	4.004830	10	21
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1890	3.0017893	9530.59592	87.386661	24.2321856	1982-1999 –> 2000-2009	5.1797565	2.1779672	19971.12647	130.153975	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1890	3.0258737	9560.80314	59.230514	24.5496795	1982-1999 –> 2000-2009	5.2093066	2.1834329	20013.22906	89.747310	2	4
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + nitrate	1890	3.0454142	9583.13521	21.508075	25.3783817	1982-1999 –> 2000-2009	5.2365731	2.1911589	20050.32495	48.244787	3	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1890	3.0544110	9596.28571	458.911729	24.7600231	1982-1999 –> 2000-2009	5.2447869	2.1903759	20063.77924	820.577008	4	7
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	1890	3.0691852	9612.52550	13.219212	24.6543073	1982-1999 –> 2000-2009	5.2620531	2.1928679	20083.41551	30.341922	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1890	3.0704233	9614.05003	21.849179	25.7349361	1982-1999 –> 2000-2009	5.2670058	2.1965825	20092.97270	48.433024	6	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	1890	3.0941722	9643.17476	10.403301	25.0723465	1982-1999 –> 2000-2009	5.2915330	2.1973608	20123.77882	23.616787	7	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1890	3.1275946	9683.78633	81.350760	26.5935186	1982-1999 –> 2000-2009	5.3386966	2.2111020	20193.97713	176.100686	8	16
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + temp + nitrate	1890	3.3282795	9918.86951	23.675996	29.9456105	1982-1999 –> 2000-2009	5.5630228	2.2347433	20479.53547	42.532416	9	18
Atlantic	(28.05,28.1]	2	cstar_tref ~ sal + nitrate	1890	3.5387915	10148.69599	2.870292	31.0919255	1982-1999 –> 2000-2009	5.7794641	2.2406727	20719.93771	6.969815	10	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2350	2.4482882	10889.33986	82.180932	30.1152903	2000-2009 –> 2010-2019	5.4500775	3.0017893	20419.93578	169.567593	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2350	2.4580743	10908.08883	54.883564	30.4660987	2000-2009 –> 2010-2019	5.4839480	3.0258737	20468.89197	114.114078	2	4
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + nitrate	2350	2.4713828	10931.46694	37.572624	30.1858765	2000-2009 –> 2010-2019	5.5167970	3.0454142	20514.60215	59.080699	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2350	2.4771407	10944.40446	440.889418	31.2311611	2000-2009 –> 2010-2019	5.5315518	3.0544110	20540.69017	899.801147	4	8
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2350	2.4794316	10946.74910	37.634564	30.5119916	2000-2009 –> 2010-2019	5.5498550	3.0704233	20560.79913	59.483743	5	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2350	2.5256289	11033.51457	21.564053	33.4396034	2000-2009 –> 2010-2019	5.5948141	3.0691852	20646.04007	34.783265	7	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	2350	2.5013850	10988.18065	114.092498	31.3630328	2000-2009 –> 2010-2019	5.6289796	3.1275946	20671.96698	195.443259	6	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	2350	2.5527945	11083.79774	16.531965	34.4637810	2000-2009 –> 2010-2019	5.6469667	3.0941722	20726.97250	26.935266	8	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + temp + nitrate	2350	2.6711909	11296.87583	27.834071	38.6941037	2000-2009 –> 2010-2019	5.9994705	3.3282795	21215.74534	51.510067	9	18
Atlantic	(28.05,28.1]	2	cstar_tref ~ sal + nitrate	2350	2.7024767	11349.60378	4.977975	39.1593571	2000-2009 –> 2010-2019	6.2412682	3.5387915	21498.29977	7.848267	10	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1645	1.5055126	6026.35677	219.166768	10.0022101	1982-1999 –> 2000-2009	2.9457470	1.4402344	12845.12556	348.751918	2	3
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1645	1.5055273	6026.38890	48.450556	10.0154267	1982-1999 –> 2000-2009	2.9460608	1.4405335	12845.94999	84.087566	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1645	1.5038080	6022.62953	56.247964	9.9262812	1982-1999 –> 2000-2009	2.9462313	1.4424233	12847.19353	91.889126	1	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	1645	1.5055274	6024.38911	10.369349	10.0145380	1982-1999 –> 2000-2009	2.9469691	1.4414417	12844.35518	28.451393	4	7
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + oxygen + nitrate	1645	1.5500894	6120.35623	9.591518	9.5094963	1982-1999 –> 2000-2009	3.0311440	1.4810546	13043.77643	26.425205	5	10
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	1645	1.8684761	6734.96308	35.796589	13.9294613	1982-1999 –> 2000-2009	3.4062340	1.5377579	13801.75439	72.053014	6	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1645	1.8742102	6745.04407	10.384415	13.7883259	1982-1999 –> 2000-2009	3.4199364	1.5457262	13831.55801	26.967100	7	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + oxygen + nitrate	1645	1.8780885	6751.84518	10.063377	13.7251148	1982-1999 –> 2000-2009	3.4287643	1.5506757	13850.55866	26.334742	8	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + temp + nitrate	1645	2.5630625	7774.86514	42.442729	14.4361556	1982-1999 –> 2000-2009	4.3596126	1.7965501	15435.20761	78.079419	9	18
Atlantic	(28.1,28.15]	2	cstar_tref ~ sal + nitrate	1645	2.8987235	8177.75761	2.294415	18.0268305	1982-1999 –> 2000-2009	4.7002514	1.8015279	15846.65883	6.779902	10	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2578	1.4104267	9101.15581	115.692472	12.9697845	2000-2009 –> 2010-2019	2.9159393	1.5055126	15127.51259	334.859240	1	3
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2578	1.4107156	9102.21181	43.486247	12.9820117	2000-2009 –> 2010-2019	2.9162429	1.5055273	15128.60070	91.936803	2	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	2578	1.4107470	9100.32639	24.769625	12.9770545	2000-2009 –> 2010-2019	2.9162744	1.5055274	15124.71549	35.138974	3	7
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2578	1.4199720	9135.93236	44.180373	13.0345768	2000-2009 –> 2010-2019	2.9237800	1.5038080	15158.56189	100.428337	4	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + oxygen + nitrate	2578	1.4451487	9224.54927	21.940746	13.9951890	2000-2009 –> 2010-2019	2.9952381	1.5500894	15344.90550	31.532264	5	10
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	2578	1.6481106	9902.13690	48.286780	20.7652546	2000-2009 –> 2010-2019	3.5165867	1.8684761	16637.09998	84.083369	6	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	2578	1.6726097	9978.21655	22.613205	21.0876226	2000-2009 –> 2010-2019	3.5468198	1.8742102	16723.26062	32.997620	7	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + oxygen + nitrate	2578	1.6835999	10011.98441	22.272736	21.2479050	2000-2009 –> 2010-2019	3.5616885	1.8780885	16763.82958	32.336114	8	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + temp + nitrate	2578	1.7601935	10241.37179	43.463373	24.9472598	2000-2009 –> 2010-2019	4.3232560	2.5630625	18016.23693	85.906103	9	18
Atlantic	(28.1,28.15]	2	cstar_tref ~ sal + nitrate	2578	1.8126896	10390.89612	6.173935	26.6790417	2000-2009 –> 2010-2019	4.7114130	2.8987235	18568.65373	8.468350	10	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	940	0.7293108	2086.17254	31.149263	4.8910552	1982-1999 –> 2000-2009	1.4342675	0.7049567	3894.62944	45.812709	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	940	0.7322575	2093.75301	32.276142	4.9097979	1982-1999 –> 2000-2009	1.4396784	0.7074209	3908.07234	46.881598	3	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	940	0.7317892	2092.55046	167.863033	4.8961587	1982-1999 –> 2000-2009	1.4397882	0.7079990	3908.24203	219.323220	2	5
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	940	0.7339631	2096.12705	28.615900	4.9908521	1982-1999 –> 2000-2009	1.4464784	0.7125152	3920.50107	39.418968	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	940	0.7799280	2210.32357	31.142380	4.4294078	1982-1999 –> 2000-2009	1.6101625	0.8302344	4291.58110	43.196467	5	13
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + oxygen + nitrate	940	0.8982164	2475.79716	16.925984	5.4861081	1982-1999 –> 2000-2009	1.6756406	0.7774243	4446.64192	24.802624	6	11
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	940	0.9005305	2480.63453	13.470521	5.4969794	1982-1999 –> 2000-2009	1.6788780	0.7783475	4453.47314	19.117975	7	13
Atlantic	(28.15,28.2]	3	cstar_tref ~ oxygen + aou + nitrate	940	0.9044570	2488.81395	102.866302	5.5137818	1982-1999 –> 2000-2009	1.6841762	0.7797192	4464.61062	132.171403	8	15
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	940	1.1047812	2862.94146	3.405179	5.6144350	1982-1999 –> 2000-2009	2.0959245	0.9911432	5239.81253	5.730791	9	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + temp + nitrate	940	1.1490210	2938.75584	16.652992	7.5317778	1982-1999 –> 2000-2009	2.1595726	1.0105515	5350.20625	25.312646	11	21
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1275	0.7013222	2725.58426	15.897286	2.8872743	2000-2009 –> 2010-2019	1.4306330	0.7293108	4811.75680	47.046549	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1275	0.7027581	2730.79980	49.108546	2.9020106	2000-2009 –> 2010-2019	1.4345473	0.7317892	4823.35026	216.971579	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1275	0.7028404	2731.09853	14.609095	2.8966859	2000-2009 –> 2010-2019	1.4350979	0.7322575	4824.85153	46.885238	3	6
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1275	0.7029344	2729.43937	10.741347	2.8814407	2000-2009 –> 2010-2019	1.4368975	0.7339631	4825.56641	39.357246	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	1275	0.7371901	2850.77421	13.660870	3.3978180	2000-2009 –> 2010-2019	1.5171181	0.7799280	5061.09778	44.803250	5	10
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + oxygen + nitrate	1275	0.8188546	3118.67908	9.626539	3.4009042	2000-2009 –> 2010-2019	1.7170710	0.8982164	5594.47624	26.552522	6	12
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	1275	0.8190408	3119.25865	5.973547	3.4018623	2000-2009 –> 2010-2019	1.7195713	0.9005305	5599.89318	19.444068	7	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ oxygen + aou + nitrate	1275	0.8196723	3121.22398	27.593699	3.4044054	2000-2009 –> 2010-2019	1.7241293	0.9044570	5610.03793	130.460001	8	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + temp + nitrate	1275	0.8307823	3155.55502	8.887413	4.3902151	2000-2009 –> 2010-2019	1.9798033	1.1490210	6094.31086	25.540405	9	20
Atlantic	(28.15,28.2]	2	cstar_tref ~ sal + nitrate	1275	0.8333087	3161.29781	1.182301	4.4182792	2000-2009 –> 2010-2019	1.9823876	1.1490789	6098.14830	2.629157	10	22
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1124	1.0619431	3336.87946	110.673054	7.0385524	1982-1999 –> 2000-2009	1.7040595	0.6421164	5117.30595	236.251557	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1124	1.0673903	3348.38092	106.967280	7.1045895	1982-1999 –> 2000-2009	1.7105074	0.6431171	5131.62923	228.617094	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1124	1.0724025	3358.91234	108.296303	7.2573146	1982-1999 –> 2000-2009	1.7163293	0.6439268	5144.44058	231.181817	3	6
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + oxygen + nitrate	1124	1.3584964	3888.51267	91.470643	9.5440639	1982-1999 –> 2000-2009	2.1226320	0.7641356	5982.18307	193.843319	5	9
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + nitrate	1124	1.3549316	3882.60595	4.280698	6.7429053	1982-1999 –> 2000-2009	2.1267995	0.7718679	5994.52000	11.066551	4	9
Atlantic	(28.2, Inf]	3	cstar_tref ~ oxygen + aou + nitrate	1124	1.5076424	4122.68369	30.921582	7.5153814	1982-1999 –> 2000-2009	2.2940442	0.7864018	6268.39946	54.887612	6	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	1124	1.5083269	4123.70408	5.175370	7.5202901	1982-1999 –> 2000-2009	2.2950789	0.7867520	6270.22661	14.209556	7	15
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + oxygen + nitrate	1124	1.5084617	4123.90495	5.647938	7.5213546	1982-1999 –> 2000-2009	2.2951920	0.7867303	6270.37752	17.030434	8	15
Atlantic	(28.2, Inf]	2	cstar_tref ~ temp + nitrate	1124	1.5734099	4216.66901	1.006409	7.9250002	1982-1999 –> 2000-2009	2.3617312	0.7883213	6364.80229	2.061377	9	18
Atlantic	(28.2, Inf]	2	cstar_tref ~ oxygen + nitrate	1124	1.9258012	4670.98280	3.760471	10.2235003	1982-1999 –> 2000-2009	2.8771523	0.9513511	7159.73120	8.432993	10	20
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1391	0.2799439	417.53943	41.934225	3.5940487	2000-2009 –> 2010-2019	1.3418871	1.0619431	3754.41889	152.607279	2	3
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1391	0.2794961	413.08535	41.070595	3.5985929	2000-2009 –> 2010-2019	1.3468864	1.0673903	3761.46627	148.037875	1	3
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1391	0.2803643	421.71391	43.564261	3.5974189	2000-2009 –> 2010-2019	1.3527668	1.0724025	3780.62625	151.860564	3	6
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + nitrate	1391	0.2846258	461.68136	1.985326	3.4380957	2000-2009 –> 2010-2019	1.6395573	1.3549316	4344.28731	6.266023	8	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + oxygen + nitrate	1391	0.3245930	827.22701	40.151983	4.0701526	2000-2009 –> 2010-2019	1.6830893	1.3584964	4715.73968	131.622626	11	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + oxygen + nitrate	1391	0.2810468	426.47782	3.336683	3.5489926	2000-2009 –> 2010-2019	1.7895085	1.5084617	4550.38277	8.984621	4	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ oxygen + aou + nitrate	1391	0.2819376	435.28133	13.788333	3.5472476	2000-2009 –> 2010-2019	1.7895799	1.5076424	4557.96502	44.709915	6	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ temp + aou + nitrate	1391	0.2812680	428.66696	3.386817	3.5468173	2000-2009 –> 2010-2019	1.7895949	1.5083269	4552.37104	8.562187	5	12
Atlantic	(28.2, Inf]	2	cstar_tref ~ temp + nitrate	1391	0.2939355	549.22034	1.085571	3.4992756	2000-2009 –> 2010-2019	1.8673454	1.5734099	4765.88934	2.091980	9	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	1391	0.2837634	453.23965	13.968148	3.6117770	2000-2009 –> 2010-2019	2.2215349	1.9377714	5140.15218	79.335075	7	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3594	9.3587491	26285.93826	77.319163	53.3493344	1982-1999 –> 2000-2009	18.4508105	9.0920614	42935.58707	218.974223	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	3594	10.0373544	26789.11218	32.578159	47.6544189	1982-1999 –> 2000-2009	19.5614822	9.5241278	43651.76661	77.186904	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3594	10.8752978	27365.44877	29.662132	54.2347752	1982-1999 –> 2000-2009	21.0830677	10.2077699	44546.14723	72.837435	3	6
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	3594	11.7410462	27914.02775	31.286875	62.9056180	1982-1999 –> 2000-2009	22.0388166	10.2977704	45133.00069	74.378876	4	9
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ oxygen + aou + nitrate	3594	11.7781638	27936.71570	71.786546	66.8207628	1982-1999 –> 2000-2009	22.0489582	10.2707945	45143.65417	183.872243	5	9
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + oxygen + nitrate	3594	11.9900838	28064.89690	27.287943	53.8115360	1982-1999 –> 2000-2009	22.6087800	10.6186962	45424.67021	67.731696	6	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	3594	15.3109019	29822.25626	25.567023	54.9546989	1982-1999 –> 2000-2009	28.3736780	13.0627761	48132.43570	66.388528	7	14
Indo-Pacific	(-Inf,26]	2	cstar_tref ~ aou + nitrate	3594	15.3269498	29827.78631	14.950395	55.9778652	1982-1999 –> 2000-2009	29.0227158	13.6957659	48353.07021	39.608802	8	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + nitrate	3594	15.6699095	29988.85371	3.072952	68.8442289	1982-1999 –> 2000-2009	33.0565840	17.3866745	49610.91401	6.983111	9	19
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + oxygen + nitrate	3594	17.3935758	30738.98367	7.539307	64.5096052	1982-1999 –> 2000-2009	34.7475720	17.3539962	50352.41271	27.349213	10	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5419	9.2434399	39493.23681	80.949804	58.3264478	2000-2009 –> 2010-2019	18.6021890	9.3587491	65779.17507	158.268967	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5419	9.8971256	40233.80036	36.040242	56.9294787	2000-2009 –> 2010-2019	19.9344801	10.0373544	67022.91254	68.618401	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5419	11.2374560	41610.31423	34.419784	98.4622047	2000-2009 –> 2010-2019	22.1127538	10.8752978	68975.76300	64.081916	3	6
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ oxygen + aou + nitrate	5419	11.3283165	41695.59260	73.935205	70.6018555	2000-2009 –> 2010-2019	23.1064803	11.7781638	69632.30830	145.721750	4	9
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	5419	11.3927897	41757.10037	35.767849	69.4279781	2000-2009 –> 2010-2019	23.1338359	11.7410462	69671.12812	67.054724	5	9
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + oxygen + nitrate	5419	12.2079193	42506.05157	33.404759	89.8108791	2000-2009 –> 2010-2019	24.1980031	11.9900838	70570.94847	60.692702	6	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	5419	14.7735942	44573.47101	26.708042	100.1234418	2000-2009 –> 2010-2019	30.0844961	15.3109019	74395.72727	52.275065	7	14
Indo-Pacific	(-Inf,26]	2	cstar_tref ~ aou + nitrate	5419	14.8160077	44602.54128	18.179844	108.3264439	2000-2009 –> 2010-2019	30.1429576	15.3269498	74430.32759	33.130238	8	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + nitrate	5419	15.5120068	45102.07219	3.049877	89.4154197	2000-2009 –> 2010-2019	31.1819163	15.6699095	75090.92590	6.122829	9	18
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + oxygen + nitrate	5419	16.8984425	46029.88198	7.560965	118.6275220	2000-2009 –> 2010-2019	34.2920183	17.3935758	76768.86565	15.100273	10	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2999	8.9467631	21666.16154	24.652053	34.4957790	1982-1999 –> 2000-2009	17.0787839	8.1320208	40018.11655	44.111976	2	3
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2999	8.9175332	21646.53344	286.730815	34.6590500	1982-1999 –> 2000-2009	17.0999635	8.1824304	40030.73443	751.073613	1	3
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2999	9.0829728	21756.78975	24.717285	41.5305206	1982-1999 –> 2000-2009	17.2731524	8.1901796	40145.93018	43.877407	3	6
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	2999	10.7870703	22786.12595	24.612802	43.8511361	1982-1999 –> 2000-2009	19.3589125	8.5718422	41410.92982	44.017969	4	8
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	2999	10.8187202	22803.69869	107.508145	39.1557675	1982-1999 –> 2000-2009	19.4010087	8.5822885	41434.85771	213.368011	6	11
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + oxygen + nitrate	2999	10.7875035	22786.36683	24.650313	54.4737065	1982-1999 –> 2000-2009	19.4068404	8.6193369	41440.00265	43.758370	5	11
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	2999	11.9068976	23378.54624	22.211208	58.8717897	1982-1999 –> 2000-2009	21.1215464	9.2146489	42380.67313	40.459323	7	14
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + nitrate	2999	12.0531542	23449.77297	11.230296	62.7023759	1982-1999 –> 2000-2009	22.0042795	9.9511253	42851.11790	24.505629	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + oxygen + nitrate	2999	14.4012899	24519.36534	17.861291	72.5376400	1982-1999 –> 2000-2009	25.7853490	11.3840591	44624.67955	33.572961	9	18
Indo-Pacific	(26,26.5]	2	cstar_tref ~ oxygen + nitrate	2999	15.1171337	24808.33435	4.442356	72.0739093	1982-1999 –> 2000-2009	29.7178504	14.6007167	46210.18210	11.127790	10	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3153	10.2975808	23664.84453	210.701109	41.8363538	2000-2009 –> 2010-2019	19.2151140	8.9175332	45311.37798	497.431924	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3153	10.5747187	23832.31378	22.060104	41.5248793	2000-2009 –> 2010-2019	19.5214818	8.9467631	45498.47532	46.712157	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3153	10.9473426	24050.69445	22.385676	51.1117206	2000-2009 –> 2010-2019	20.0303154	9.0829728	45807.48420	47.102961	3	6
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	3153	12.2337321	24749.29305	94.700259	48.5819491	2000-2009 –> 2010-2019	23.0524523	10.8187202	47552.99174	202.208404	4	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	3153	12.3540167	24810.99213	22.056131	56.5908609	2000-2009 –> 2010-2019	23.1410869	10.7870703	47597.11808	46.668933	5	9
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + oxygen + nitrate	3153	12.7058030	24988.04932	22.379556	71.2878063	2000-2009 –> 2010-2019	23.4933065	10.7875035	47774.41615	47.029869	6	11
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	3153	13.3299902	25290.46979	19.236344	72.9749564	2000-2009 –> 2010-2019	25.2368877	11.9068976	48669.01603	41.447552	7	14
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + nitrate	3153	13.4297486	25335.48668	10.174902	75.8438920	2000-2009 –> 2010-2019	25.4829028	12.0531542	48785.25965	21.405198	8	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + oxygen + nitrate	3153	15.9561798	26424.47654	14.316812	89.3031368	2000-2009 –> 2010-2019	30.3574696	14.4012899	50943.84188	32.178103	9	18
Indo-Pacific	(26,26.5]	2	cstar_tref ~ oxygen + nitrate	3153	16.3656288	26582.25247	4.104254	85.7565591	2000-2009 –> 2010-2019	31.4827625	15.1171337	51390.58682	8.546610	10	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2788	8.7231511	20001.50874	34.822753	36.1609168	1982-1999 –> 2000-2009	16.4509372	7.7277861	36507.93837	63.018417	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2788	8.7239950	20002.04814	31.536462	36.2840787	1982-1999 –> 2000-2009	16.6040445	7.8800496	36601.39286	57.390878	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2788	8.8492501	20081.53654	839.096124	36.6337365	1982-1999 –> 2000-2009	16.9871758	8.1379257	36834.22302	1769.697730	3	7
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + oxygen + nitrate	2788	9.8280457	20664.50010	21.443366	49.4133271	1982-1999 –> 2000-2009	17.9562833	8.1282376	37409.51408	35.775106	4	7
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2788	9.8292779	20665.19916	21.108628	42.5487970	1982-1999 –> 2000-2009	18.0562369	8.2269590	37467.70154	35.581544	5	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2788	9.8341451	20667.95954	119.028518	40.9630060	1982-1999 –> 2000-2009	18.1231939	8.2890488	37506.26636	221.064389	6	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2788	9.9858250	20753.30614	19.522608	49.2553755	1982-1999 –> 2000-2009	18.5237243	8.5378993	37732.47183	33.081574	7	14
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ aou + nitrate	2788	9.9960693	20757.02357	10.622314	50.5427895	1982-1999 –> 2000-2009	19.2184132	9.2223439	38101.40721	20.597168	8	16
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + nitrate	2788	10.9606062	21272.66040	18.106055	64.0079438	1982-1999 –> 2000-2009	20.4407733	9.4801671	38750.34533	30.498966	9	18
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ oxygen + nitrate	2788	11.8550047	21708.05593	5.081652	67.9569108	1982-1999 –> 2000-2009	24.9953107	13.1403060	40738.44986	10.805365	10	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2583	11.6241360	20014.86649	22.686039	42.7050007	2000-2009 –> 2010-2019	20.3481310	8.7239950	40016.91463	54.222501	1	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2583	11.6319701	20018.34694	25.114191	42.4159561	2000-2009 –> 2010-2019	20.3551212	8.7231511	40019.85569	59.936944	2	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2583	11.6534930	20027.89687	515.681866	43.1320608	2000-2009 –> 2010-2019	20.5027431	8.8492501	40109.43341	1354.777990	3	6
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2583	12.1297113	20232.80530	11.819929	44.2016823	2000-2009 –> 2010-2019	21.9589893	9.8292779	40898.00445	32.928557	5	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2583	12.1278265	20232.00250	71.160437	44.2467712	2000-2009 –> 2010-2019	21.9619716	9.8341451	40899.96204	190.188955	4	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + oxygen + nitrate	2583	12.1545895	20243.38999	11.925843	43.8860339	2000-2009 –> 2010-2019	21.9826353	9.8280457	40907.89009	33.369209	6	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2583	12.1857080	20256.59920	10.969001	43.8045791	2000-2009 –> 2010-2019	22.1715330	9.9858250	41009.90535	30.491609	7	14
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ aou + nitrate	2583	12.1876968	20255.44224	7.324590	43.6840766	2000-2009 –> 2010-2019	22.1837661	9.9960693	41012.46582	17.946904	8	16
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + oxygen + nitrate	2583	12.9707418	20579.12497	9.982793	42.6724342	2000-2009 –> 2010-2019	23.9313480	10.9606062	41851.78537	28.088848	9	18
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ oxygen + nitrate	2583	13.9717347	20961.16618	3.934996	45.9833331	2000-2009 –> 2010-2019	25.8267394	11.8550047	42669.22211	9.016648	10	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3425	8.6851468	24538.78688	28.800238	28.1920202	1982-1999 –> 2000-2009	16.9159123	8.2307655	45055.70417	64.202688	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3425	8.7211014	24567.08586	24.656786	28.2301137	1982-1999 –> 2000-2009	17.1251107	8.4040093	45205.10800	56.473292	2	5
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	3425	9.1148135	24867.55043	17.778275	30.6246257	1982-1999 –> 2000-2009	17.4550480	8.3402345	45459.28408	29.754117	4	6
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3425	8.8384383	24658.63384	810.435871	28.2116598	1982-1999 –> 2000-2009	17.4680333	8.6295950	45450.66116	1549.078331	3	8
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3425	9.1470688	24891.74828	17.392026	30.2506324	1982-1999 –> 2000-2009	17.6348275	8.4877587	45585.42252	29.136689	5	9
Indo-Pacific	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	3425	9.1652008	24905.31340	114.071388	29.9473541	1982-1999 –> 2000-2009	17.7959067	8.6307059	45696.08912	197.118970	6	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3425	9.3205028	25020.41248	14.180937	28.6756241	1982-1999 –> 2000-2009	18.1172072	8.7967044	45921.94989	24.564191	7	14
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	3425	9.8270594	25382.93619	12.270364	29.4521633	1982-1999 –> 2000-2009	19.2360260	9.4089666	46675.67425	22.135871	9	17
Indo-Pacific	(26.75,27]	2	cstar_tref ~ aou + nitrate	3425	9.4123459	25085.58120	8.928252	28.0112872	1982-1999 –> 2000-2009	19.9776535	10.5653075	47050.23530	15.979247	8	17
Indo-Pacific	(26.75,27]	2	cstar_tref ~ oxygen + nitrate	3425	10.6668898	25942.66903	4.690507	39.1069276	1982-1999 –> 2000-2009	24.4864672	13.8195774	49468.44303	8.674543	10	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3773	10.7415178	28634.39256	22.369496	30.5899562	2000-2009 –> 2010-2019	19.4266646	8.6851468	53173.17944	51.169734	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3773	10.7831446	28663.57920	19.126217	30.8222950	2000-2009 –> 2010-2019	19.5042460	8.7211014	53230.66506	43.783003	2	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3773	10.8915180	28739.03983	470.870477	30.6710115	2000-2009 –> 2010-2019	19.7299563	8.8384383	53397.67368	1281.306348	3	6
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	3773	11.1432029	28909.43111	10.168399	29.2963843	2000-2009 –> 2010-2019	20.2580163	9.1148135	53776.98154	27.946675	4	8
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3773	11.1690818	28926.93561	10.038541	29.1330478	2000-2009 –> 2010-2019	20.3161506	9.1470688	53818.68389	27.430567	5	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	3773	11.1797000	28934.10598	74.118200	28.9635744	2000-2009 –> 2010-2019	20.3449007	9.1652008	53839.41938	188.189588	6	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3773	11.2689053	28994.07827	8.305744	30.1913916	2000-2009 –> 2010-2019	20.5894081	9.3205028	54014.49075	22.486681	7	14
Indo-Pacific	(26.75,27]	2	cstar_tref ~ aou + nitrate	3773	11.2906293	29006.61130	5.807033	30.7668040	2000-2009 –> 2010-2019	20.7029752	9.4123459	54092.19249	14.735286	8	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + oxygen + nitrate	3773	11.7013772	29278.25578	7.501008	33.2438989	2000-2009 –> 2010-2019	21.5284366	9.8270594	54661.19198	19.771372	9	18
Indo-Pacific	(26.75,27]	2	cstar_tref ~ oxygen + nitrate	3773	12.2251019	29606.65604	3.384089	43.0131166	2000-2009 –> 2010-2019	22.8919917	10.6668898	55549.32506	8.074596	10	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	4552	5.9416198	29153.17867	29.441802	22.9380442	1982-1999 –> 2000-2009	11.6274792	5.6858594	53056.75545	46.945596	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4552	5.9635247	29186.68049	29.426763	22.8956721	1982-1999 –> 2000-2009	11.6559905	5.6924658	53099.04538	48.638142	2	4
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	4552	6.0839509	29366.69319	25.772876	24.2678658	1982-1999 –> 2000-2009	11.9730559	5.8891050	53534.07134	36.021504	5	8
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	4552	6.0728714	29350.09882	25.702567	24.3561795	1982-1999 –> 2000-2009	11.9793959	5.9065244	53539.82937	35.231193	4	8
Indo-Pacific	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	4552	6.0718746	29348.60424	302.194678	24.4320355	1982-1999 –> 2000-2009	12.0292936	5.9574190	53603.26642	416.462701	3	8
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	4552	6.8496258	30445.87879	18.051958	27.4544858	1982-1999 –> 2000-2009	13.9074213	7.0577955	55983.28231	26.515742	6	12
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	4552	7.5906062	31381.01831	14.530599	33.9014790	1982-1999 –> 2000-2009	15.8011640	8.2105578	58063.37018	22.804942	7	14
Indo-Pacific	(27,27.25]	2	cstar_tref ~ aou + nitrate	4552	7.8846687	31725.04990	12.521481	32.4268963	1982-1999 –> 2000-2009	18.6145979	10.7299292	60430.72042	18.732408	8	16
Indo-Pacific	(27,27.25]	2	cstar_tref ~ oxygen + nitrate	4552	9.2642781	33193.03109	7.708738	50.1751379	1982-1999 –> 2000-2009	23.3375747	14.0732967	63951.46250	12.009528	9	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + nitrate	4552	12.1318046	35650.05713	6.330362	93.1832909	1982-1999 –> 2000-2009	32.1196039	19.9877993	69065.66765	20.956161	10	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	4707	6.7811568	31389.67381	18.751886	23.7145317	2000-2009 –> 2010-2019	12.7227766	5.9416198	60542.85248	48.193687	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4707	6.8176575	31440.21039	18.646045	23.6442172	2000-2009 –> 2010-2019	12.7811822	5.9635247	60626.89088	48.072808	2	4
Indo-Pacific	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	4707	7.0346487	31733.16805	184.296222	22.3484516	2000-2009 –> 2010-2019	13.1065232	6.0718746	61081.77229	486.490900	3	6
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	4707	7.0535796	31758.46807	15.455543	22.2436771	2000-2009 –> 2010-2019	13.1264511	6.0728714	61108.56690	41.158110	4	8
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	4707	7.0764145	31788.89517	15.412071	22.1789135	2000-2009 –> 2010-2019	13.1603654	6.0839509	61155.58837	41.184947	5	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	4707	7.7653645	32663.51276	10.878384	23.6733681	2000-2009 –> 2010-2019	14.6149903	6.8496258	63109.39155	28.930342	6	12
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	4707	8.4554256	33464.97286	9.050379	35.0368668	2000-2009 –> 2010-2019	16.0460318	7.5906062	64845.99118	23.580978	7	14
Indo-Pacific	(27,27.25]	2	cstar_tref ~ aou + nitrate	4707	8.5354534	33551.65428	7.870792	33.2977779	2000-2009 –> 2010-2019	16.4201221	7.8846687	65276.70418	20.392274	8	16
Indo-Pacific	(27,27.25]	2	cstar_tref ~ oxygen + nitrate	4707	9.8805647	34929.31022	4.973783	52.6073349	2000-2009 –> 2010-2019	19.1448428	9.2642781	68122.34131	12.682521	9	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + temp + nitrate	4707	12.9685365	37491.50857	7.134019	103.1912409	2000-2009 –> 2010-2019	25.1003411	12.1318046	73141.56569	13.464381	10	20
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6030	3.6431696	32716.21897	969.524357	15.1497279	1982-1999 –> 2000-2009	7.5662240	3.9230544	58669.67292	1481.292281	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + nitrate	6030	3.6433405	32714.78445	534.700334	15.1971137	1982-1999 –> 2000-2009	7.6930287	4.0496882	58962.07480	653.169168	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	6030	3.7089361	32931.98430	40.322002	14.6793174	1982-1999 –> 2000-2009	7.7872795	4.0783434	59246.93334	48.768305	3	6
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	6030	3.7133946	32944.47274	38.002771	14.3643085	1982-1999 –> 2000-2009	7.8853238	4.1719292	59468.68958	46.000653	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6030	3.7601664	33097.42519	42.398564	16.3684022	1982-1999 –> 2000-2009	7.9526511	4.1924847	59669.41039	51.814869	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	6030	3.7685858	33122.39847	40.083617	15.9396108	1982-1999 –> 2000-2009	8.0461905	4.2776047	59879.55159	49.005027	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	6030	5.6641561	38036.34310	21.333357	26.3165288	1982-1999 –> 2000-2009	12.0316703	6.3675142	68497.95846	28.113070	7	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + nitrate	6030	6.7827614	40209.87338	16.194475	34.1440726	1982-1999 –> 2000-2009	15.0356484	8.2528871	73086.59246	22.826963	8	16
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ aou + nitrate	6030	7.3349259	41151.72525	16.068572	31.3582790	1982-1999 –> 2000-2009	17.7847072	10.4497813	76224.24360	21.494326	9	18
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ oxygen + nitrate	6030	8.5508648	43001.54968	10.387364	47.2019565	1982-1999 –> 2000-2009	22.4157921	13.8649273	80707.32832	14.554210	10	20
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6098	4.2290748	34903.80200	589.327744	16.4040149	2000-2009 –> 2010-2019	7.8722444	3.6431696	67620.02097	1558.852101	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + nitrate	6098	4.2715435	35023.66440	270.193059	17.3423730	2000-2009 –> 2010-2019	7.9148840	3.6433405	67738.44885	804.893393	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	6098	4.3765852	35321.94859	19.083269	18.9971205	2000-2009 –> 2010-2019	8.0855214	3.7089361	68253.93289	59.405272	3	6
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	6098	4.3947221	35370.38517	17.589537	19.4405835	2000-2009 –> 2010-2019	8.1081167	3.7133946	68314.85791	55.592308	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6098	4.4626503	35559.45399	19.595568	20.3943172	2000-2009 –> 2010-2019	8.2228168	3.7601664	68656.87917	61.994132	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	6098	4.4750708	35591.35065	18.302443	20.7573727	2000-2009 –> 2010-2019	8.2436566	3.7685858	68713.74912	58.386060	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	6098	6.1166563	39402.52042	11.366819	25.4925066	2000-2009 –> 2010-2019	11.7808123	5.6641561	77438.86351	32.700176	7	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + nitrate	6098	7.2271034	41437.09049	9.091485	34.7519290	2000-2009 –> 2010-2019	14.0098648	6.7827614	81646.96387	25.285960	8	16
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ aou + nitrate	6098	7.6554111	42137.26804	8.934203	29.6538864	2000-2009 –> 2010-2019	14.9903370	7.3349259	83288.99330	25.002775	9	18
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ oxygen + nitrate	6098	9.0709432	44206.48431	6.020497	49.0151716	2000-2009 –> 2010-2019	17.6218080	8.5508648	87208.03399	16.407861	10	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6651	3.3674461	35037.40516	799.958168	15.8157522	1982-1999 –> 2000-2009	7.3475052	3.9800591	63987.03586	1218.934000	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6651	3.3984192	35159.19499	116.519717	15.9871260	1982-1999 –> 2000-2009	7.4740714	4.0756522	64354.09387	153.237545	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6651	3.4273335	35271.89175	123.995687	16.2234123	1982-1999 –> 2000-2009	7.6037621	4.1764286	64719.20585	165.301191	3	7
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	6651	3.6184580	35991.73036	757.625729	17.7357913	1982-1999 –> 2000-2009	7.6610477	4.0425897	65100.45601	1003.449347	4	6
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	6651	3.7114618	36329.30639	114.622909	18.4890362	1982-1999 –> 2000-2009	7.8923587	4.1808969	65785.67081	150.894340	5	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	6651	3.7800006	36572.71121	121.036539	19.2696613	1982-1999 –> 2000-2009	8.0866791	4.3066786	66335.38747	161.958184	6	12
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	6651	4.2097355	38005.01269	72.260246	28.3177330	1982-1999 –> 2000-2009	9.2760341	5.0662986	69446.38036	98.524277	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	6651	4.7746198	39679.92792	39.742090	44.0274897	1982-1999 –> 2000-2009	11.1165413	6.3419215	73442.01538	59.172394	8	16
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ aou + nitrate	6651	4.8617377	39918.44896	58.241220	38.5737208	1982-1999 –> 2000-2009	11.6995246	6.8377869	74456.50404	78.324174	9	18
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ oxygen + nitrate	6651	5.2408141	40917.17536	29.188140	52.4093513	1982-1999 –> 2000-2009	13.3593461	8.1185321	77229.42563	40.366627	10	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7320	3.2244337	37925.14752	647.020974	24.5804434	2000-2009 –> 2010-2019	6.5918798	3.3674461	72962.55269	1446.979142	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	7320	3.2780139	38166.42026	86.566949	20.9951596	2000-2009 –> 2010-2019	6.6764331	3.3984192	73325.61524	203.086666	3	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7320	3.3259279	38378.86097	94.167286	18.3432710	2000-2009 –> 2010-2019	6.7532613	3.4273335	73650.75272	218.162972	4	7
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	7320	3.2683546	38121.21689	545.871027	25.4455435	2000-2009 –> 2010-2019	6.8868125	3.6184580	74112.94725	1303.496755	2	6
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	7320	3.3552598	38505.40774	86.311117	21.5690590	2000-2009 –> 2010-2019	7.0667216	3.7114618	74834.71413	200.934026	5	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	7320	3.4278637	38818.82115	94.076929	18.8798064	2000-2009 –> 2010-2019	7.2078642	3.7800006	75391.53236	215.113468	6	12
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	7320	4.5456726	42950.79232	46.365875	28.4588287	2000-2009 –> 2010-2019	8.7554080	4.2097355	80955.80501	118.626121	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	7320	5.1787774	44859.75026	25.785974	44.5837704	2000-2009 –> 2010-2019	9.9533972	4.7746198	84539.67819	65.528063	8	16
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ aou + nitrate	7320	5.2004278	44918.82667	38.128974	37.9446900	2000-2009 –> 2010-2019	10.0621655	4.8617377	84837.27563	96.370193	9	18
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ oxygen + nitrate	7320	5.6770852	46202.71152	18.570686	53.1800785	2000-2009 –> 2010-2019	10.9178993	5.2408141	87119.88688	47.758826	10	20
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3217	1.4862580	11690.99728	882.177220	7.8209376	1982-1999 –> 2000-2009	3.2042237	1.7179657	21244.66378	1714.154602	1	2
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + nitrate	3217	1.5050616	11769.88756	494.560451	7.7122579	1982-1999 –> 2000-2009	3.2455322	1.7404705	21384.90934	836.477330	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3217	1.5345730	11896.82486	103.182700	8.0401808	1982-1999 –> 2000-2009	3.2766923	1.7421193	21518.45601	189.943518	3	6
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3217	1.5445271	11936.42482	101.468178	8.3671701	1982-1999 –> 2000-2009	3.3026674	1.7581403	21600.61877	185.492026	4	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3217	1.5580452	11994.49178	104.595283	8.5580482	1982-1999 –> 2000-2009	3.3156833	1.7576381	21659.29496	195.178092	5	9
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	3217	1.5665643	12027.57590	102.647327	8.8735544	1982-1999 –> 2000-2009	3.3394311	1.7728668	21732.37519	190.239687	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3217	2.1992898	14210.30795	101.459569	18.1317177	1982-1999 –> 2000-2009	4.2494863	2.0501965	24622.61141	187.499121	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + nitrate	3217	2.4199291	14825.42238	2.964332	9.9508008	1982-1999 –> 2000-2009	4.9143491	2.4944200	26192.44088	10.673137	8	17
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + nitrate	3217	2.5689129	15209.81904	82.745665	17.6871001	1982-1999 –> 2000-2009	4.9193714	2.3504585	26287.45522	158.429550	10	18
Indo-Pacific	(27.75,27.85]	2	cstar_tref ~ temp + nitrate	3217	2.4560668	14918.79342	1.019423	10.3544809	1982-1999 –> 2000-2009	5.0131980	2.5571312	26404.68328	2.042857	9	19
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3851	1.5800345	14463.91877	927.775591	8.8654365	2000-2009 –> 2010-2019	3.0662925	1.4862580	26154.91605	1809.952811	1	2
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ oxygen + aou + nitrate	3851	1.5871356	14496.45638	535.298081	8.8260616	2000-2009 –> 2010-2019	3.0921973	1.5050616	26266.34394	1029.858532	2	4
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3851	1.6016024	14568.34218	151.917685	8.8880919	2000-2009 –> 2010-2019	3.1361754	1.5345730	26465.16704	255.100385	3	6
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3851	1.6045128	14580.32529	145.190568	8.8613761	2000-2009 –> 2010-2019	3.1490399	1.5445271	26516.75011	246.658746	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3851	1.6142062	14628.71577	158.013697	8.9045267	2000-2009 –> 2010-2019	3.1722514	1.5580452	26623.20756	262.608980	5	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	3851	1.6162111	14636.27626	150.180676	8.9396807	2000-2009 –> 2010-2019	3.1827755	1.5665643	26663.85216	252.828002	6	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3851	2.0397490	16428.85615	151.311972	19.9554696	2000-2009 –> 2010-2019	4.2390388	2.1992898	30639.16410	252.771542	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + temp + nitrate	3851	2.1793832	16938.84540	3.813698	8.5471251	2000-2009 –> 2010-2019	4.5993123	2.4199291	31764.26778	6.778030	8	16
Indo-Pacific	(27.75,27.85]	2	cstar_tref ~ temp + nitrate	3851	2.2189108	17075.28513	1.061214	8.3137688	2000-2009 –> 2010-2019	4.6749776	2.4560668	31994.07855	2.080637	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + nitrate	3851	2.3547370	17534.88117	124.564175	17.4299285	2000-2009 –> 2010-2019	4.9236500	2.5689129	32744.70021	207.309840	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4244	1.0653731	12593.45345	675.827095	8.7677549	1982-1999 –> 2000-2009	2.3548858	1.2895127	23062.97195	1311.910805	1	2
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + nitrate	4244	1.0671207	12605.36524	480.133696	8.9114249	1982-1999 –> 2000-2009	2.3643258	1.2972051	23110.05627	868.053127	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4244	1.1081965	12927.95549	65.187431	8.7303255	1982-1999 –> 2000-2009	2.4248765	1.3166801	23527.78054	127.090181	3	6
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	4244	1.1146297	12975.08709	63.873547	9.0421925	1982-1999 –> 2000-2009	2.4377197	1.3230900	23603.26496	125.299241	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4244	1.1362204	13139.92982	64.976038	8.9847063	1982-1999 –> 2000-2009	2.4749107	1.3386903	23843.36916	128.026940	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + nitrate	4244	1.1449456	13202.86149	63.955385	9.3468030	1982-1999 –> 2000-2009	2.4903103	1.3453647	23935.38424	126.532346	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4244	2.0962643	18336.40180	56.944489	13.6028878	1982-1999 –> 2000-2009	4.0745591	1.9782948	31478.73803	111.161014	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + nitrate	4244	2.5604276	20034.14942	40.738535	12.4472231	1982-1999 –> 2000-2009	4.9764345	2.4160070	34425.74129	79.625661	8	16
Indo-Pacific	(27.85,27.95]	2	cstar_tref ~ aou + nitrate	4244	2.7460504	20626.21943	37.039584	18.4110404	1982-1999 –> 2000-2009	5.3042666	2.5582162	35373.27413	68.094919	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + temp + nitrate	4244	2.8618496	20978.81182	2.853956	14.3474772	1982-1999 –> 2000-2009	5.6828752	2.8210256	36339.05576	7.245226	10	21
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5425	0.9901651	15300.24623	718.328254	6.5588699	2000-2009 –> 2010-2019	2.0555382	1.0653731	27893.69968	1394.155349	1	2
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + nitrate	5425	0.9910504	15307.94309	512.352086	6.6231119	2000-2009 –> 2010-2019	2.0581711	1.0671207	27913.30833	992.485782	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	5425	1.0456312	15891.61805	86.994050	7.3838239	2000-2009 –> 2010-2019	2.1538277	1.1081965	28819.57354	152.181480	3	6
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	5425	1.0458373	15891.75636	85.818078	7.3596064	2000-2009 –> 2010-2019	2.1604670	1.1146297	28866.84345	149.691625	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5425	1.0769308	16211.63262	87.419081	7.8272541	2000-2009 –> 2010-2019	2.2131512	1.1362204	29351.56244	152.395119	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + nitrate	5425	1.0776667	16217.04355	86.012004	7.7957697	2000-2009 –> 2010-2019	2.2226122	1.1449456	29419.90504	149.967389	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	5425	1.9000932	22370.13022	79.961239	14.6445182	2000-2009 –> 2010-2019	3.9963576	2.0962643	40706.53202	136.905728	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + nitrate	5425	2.2681486	24291.24161	56.601711	11.0069790	2000-2009 –> 2010-2019	4.8285762	2.5604276	44325.39103	97.340247	10	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + temp + nitrate	5425	2.2336220	24124.80852	2.467775	8.0543808	2000-2009 –> 2010-2019	5.0954716	2.8618496	45103.62034	5.321731	8	18
Indo-Pacific	(27.85,27.95]	2	cstar_tref ~ temp + nitrate	5425	2.2434857	24170.61695	1.013750	8.0098862	2000-2009 –> 2010-2019	5.1116101	2.8681244	45166.01882	2.013857	9	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	7956	1.0111792	22767.04631	83.884352	7.2511312	1982-1999 –> 2000-2009	2.2256793	1.2145001	42280.26677	174.920402	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7956	1.0224487	22943.40295	87.923181	7.3827287	1982-1999 –> 2000-2009	2.2388915	1.2164428	42475.94443	183.907711	2	4
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	7956	1.1171873	24351.42583	782.642330	9.1860134	1982-1999 –> 2000-2009	2.4003479	1.2831606	44527.41057	1544.647608	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	7956	1.1715287	25107.16970	83.556311	9.8853200	1982-1999 –> 2000-2009	2.4665420	1.2950133	45394.30014	173.564591	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	7956	1.2053611	25560.18088	87.241687	10.1781819	1982-1999 –> 2000-2009	2.5130405	1.3076793	45964.96489	181.740067	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	7956	1.3139429	26932.64204	55.053938	6.3287274	1982-1999 –> 2000-2009	2.6780302	1.3640873	47847.92091	113.867834	6	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + nitrate	7956	1.5689178	29754.69326	37.951764	6.5664058	1982-1999 –> 2000-2009	3.1447764	1.5758586	52414.44780	76.125072	7	14
Indo-Pacific	(27.95,28.05]	2	cstar_tref ~ aou + nitrate	7956	1.9320604	33065.58619	19.528212	12.0601473	1982-1999 –> 2000-2009	3.6494044	1.7173441	56762.65106	37.903354	8	16
Indo-Pacific	(27.95,28.05]	2	cstar_tref ~ oxygen + nitrate	7956	2.0540231	34039.61292	10.067514	10.1556954	1982-1999 –> 2000-2009	3.9216860	1.8676629	58750.96903	19.060665	9	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + nitrate	7956	2.1432310	34718.09825	4.814482	9.8534804	1982-1999 –> 2000-2009	4.2425719	2.0993409	60844.97148	9.923813	10	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	9585	0.7980847	22889.43923	110.639080	8.3643123	2000-2009 –> 2010-2019	1.8092639	1.0111792	45656.48554	194.523433	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	9585	0.8139888	23267.69836	113.833661	8.6972286	2000-2009 –> 2010-2019	1.8364374	1.0224487	46211.10131	201.756842	2	4
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	9585	0.9261239	25739.80645	950.904617	8.7586783	2000-2009 –> 2010-2019	2.0433112	1.1171873	50091.23228	1733.546947	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	9585	0.9845932	26913.40452	110.149380	9.7492106	2000-2009 –> 2010-2019	2.1561219	1.1715287	52020.57422	193.705691	4	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	9585	1.0154236	27504.46454	112.911064	10.0885723	2000-2009 –> 2010-2019	2.2207847	1.2053611	53064.64542	200.152750	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	9585	1.0762494	28619.70581	72.589258	9.1653503	2000-2009 –> 2010-2019	2.3901923	1.3139429	55552.34785	127.643196	6	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + nitrate	9585	1.2672177	31750.96197	47.279284	8.3160396	2000-2009 –> 2010-2019	2.8361355	1.5689178	61505.65523	85.231048	7	14
Indo-Pacific	(27.95,28.05]	2	cstar_tref ~ aou + nitrate	9585	1.5888885	36085.42761	38.714932	13.3887668	2000-2009 –> 2010-2019	3.5209489	1.9320604	69151.01380	58.243144	9	17
Indo-Pacific	(27.95,28.05]	2	cstar_tref ~ oxygen + nitrate	9585	1.6592400	36915.96609	19.800932	10.8042419	2000-2009 –> 2010-2019	3.7132630	2.0540231	70955.57900	29.868446	12	21
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + nitrate	9585	1.5849598	36039.96862	3.038696	6.3186556	2000-2009 –> 2010-2019	3.7281908	2.1432310	70758.06687	7.853178	8	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	5320	0.7195266	11607.22420	82.013486	7.2057657	1982-1999 –> 2000-2009	1.6118447	0.8923181	22087.98169	184.633979	1	2
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	5320	0.7207138	11622.76590	71.902037	7.5146680	1982-1999 –> 2000-2009	1.6131210	0.8924072	22102.32451	157.264709	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5320	0.7288464	11744.15659	93.125463	7.4555373	1982-1999 –> 2000-2009	1.6235383	0.8946918	22246.22600	212.791025	3	6
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	5320	0.8178500	12968.05385	61.460448	9.7123154	1982-1999 –> 2000-2009	1.7844959	0.9666459	24088.64815	124.382009	4	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	5320	1.0158900	15275.24664	784.446081	8.7718762	1982-1999 –> 2000-2009	2.0425083	1.0266182	26878.71058	1562.678030	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	5320	1.0514727	15641.54613	78.359927	9.4352824	1982-1999 –> 2000-2009	2.0835597	1.0320870	27287.62982	163.689639	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + nitrate	5320	1.0722071	15849.31879	88.307425	9.7278119	1982-1999 –> 2000-2009	2.1112489	1.0390418	27549.27745	186.778008	7	14
Indo-Pacific	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	5320	1.4424035	19003.05277	13.213573	10.2857113	1982-1999 –> 2000-2009	2.5486858	1.1062823	31204.04077	25.328926	8	16
Indo-Pacific	(28.05,28.1]	2	cstar_tref ~ oxygen + nitrate	5320	1.5147894	19524.04722	7.385377	9.2153105	1982-1999 –> 2000-2009	2.7008766	1.1860872	32283.80518	13.978668	9	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + nitrate	5320	1.5535600	19794.94792	12.775245	5.3041134	1982-1999 –> 2000-2009	2.9382772	1.3847172	33798.80141	22.121594	10	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	7825	0.6588101	15687.33155	62.958017	7.0876101	2000-2009 –> 2010-2019	1.3783367	0.7195266	27294.55576	144.971503	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7825	0.6683980	15913.44944	68.859442	7.3185510	2000-2009 –> 2010-2019	1.3972444	0.7288464	27657.60603	161.984905	2	5
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	7825	0.6786612	16149.92762	62.055451	7.0350185	2000-2009 –> 2010-2019	1.3993750	0.7207138	27772.69352	133.957488	3	5
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	7825	0.7984095	18693.04686	55.889996	6.9690598	2000-2009 –> 2010-2019	1.6162595	0.8178500	31661.10071	117.350444	4	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	7825	0.8430030	19543.60736	642.518974	8.5729346	2000-2009 –> 2010-2019	1.8588931	1.0158900	34818.85400	1426.965055	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	7825	0.8695577	20028.97772	60.157211	9.1881052	2000-2009 –> 2010-2019	1.9210304	1.0514727	35670.52384	138.517138	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + nitrate	7825	0.8832207	20272.96903	65.522128	9.4167144	2000-2009 –> 2010-2019	1.9554278	1.0722071	36122.28782	153.829553	7	14
Indo-Pacific	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	7825	1.2907978	26209.21450	20.659290	13.0312469	2000-2009 –> 2010-2019	2.7332013	1.4424035	45212.26726	33.872864	8	16
Indo-Pacific	(28.05,28.1]	2	cstar_tref ~ oxygen + nitrate	7825	1.3697356	27138.15519	12.196676	11.4866987	2000-2009 –> 2010-2019	2.8845250	1.5147894	46662.20241	19.582054	9	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + temp + nitrate	7825	1.4148120	27646.88586	7.477337	4.9082820	2000-2009 –> 2010-2019	2.9683720	1.5535600	47441.83378	20.252582	10	20
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	8047	0.8030461	19318.28720	35.560741	14.1049803	1982-1999 –> 2000-2009	1.6108909	0.8078448	37546.19680	72.680398	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8047	0.8064579	19386.52060	195.388577	14.1547486	1982-1999 –> 2000-2009	1.6165609	0.8101030	37656.60744	401.845383	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	8047	0.8149506	19555.11812	50.059059	14.4175831	1982-1999 –> 2000-2009	1.6361213	0.8211707	38030.24165	101.138971	3	7
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	8047	0.8259701	19769.27684	33.814396	13.3689219	1982-1999 –> 2000-2009	1.6440862	0.8181161	38186.08987	67.905243	4	7
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	8047	0.8902389	20975.22061	31.622559	14.2163410	1982-1999 –> 2000-2009	1.8196882	0.9294493	41319.88853	61.132888	5	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ oxygen + aou + nitrate	8047	1.3444486	27609.96244	188.476396	8.7049716	1982-1999 –> 2000-2009	2.4186337	1.0741851	50141.43092	388.638543	6	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	8047	1.3610123	27807.03019	22.351921	8.7648604	1982-1999 –> 2000-2009	2.4441118	1.0830996	50463.37590	47.197747	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + oxygen + nitrate	8047	1.3732956	27951.62963	30.656676	8.7275235	1982-1999 –> 2000-2009	2.4740494	1.1007538	50852.27858	64.088812	8	16
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ aou + nitrate	8047	1.4262196	28558.20666	8.744304	8.4585524	1982-1999 –> 2000-2009	2.5395611	1.1133414	51628.66496	17.839707	9	18
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ oxygen + nitrate	8047	1.4681643	29024.69911	6.017293	7.6784643	1982-1999 –> 2000-2009	2.6926787	1.2245144	53533.30563	11.967140	11	21
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	10446	0.9047159	27564.45899	34.982443	10.9437156	2000-2009 –> 2010-2019	1.7077620	0.8030461	46882.74619	70.543184	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	10446	0.9093980	27672.30008	145.699588	11.0333554	2000-2009 –> 2010-2019	1.7158560	0.8064579	47058.82068	341.088164	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	10446	0.9155511	27813.18187	48.515424	11.2048260	2000-2009 –> 2010-2019	1.7305018	0.8149506	47368.29998	98.574483	3	6
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	10446	0.9486066	28552.17798	34.744421	10.0820937	2000-2009 –> 2010-2019	1.7745767	0.8259701	48321.45482	68.558817	4	8
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + oxygen + nitrate	10446	0.9606096	28814.87358	33.385496	10.9704496	2000-2009 –> 2010-2019	1.8508485	0.8902389	49790.09420	65.008055	5	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ oxygen + aou + nitrate	10446	1.3344631	35682.41326	145.249127	13.1584252	2000-2009 –> 2010-2019	2.6789117	1.3444486	63292.37570	333.725523	6	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	10446	1.3398568	35766.68483	17.881464	13.2738799	2000-2009 –> 2010-2019	2.7008691	1.3610123	63573.71503	40.233385	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + oxygen + nitrate	10446	1.3468892	35876.05242	24.269616	13.2682707	2000-2009 –> 2010-2019	2.7201849	1.3732956	63827.68205	54.926292	8	16
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ aou + nitrate	10446	1.3520032	35953.22616	10.905352	13.4379201	2000-2009 –> 2010-2019	2.7782228	1.4262196	64511.43282	19.649656	9	18
Indo-Pacific	(28.1,28.2]	2	cstar_tref ~ oxygen + nitrate	10446	1.3833028	36431.37407	8.166721	12.7799538	2000-2009 –> 2010-2019	2.8514671	1.4681643	65456.07318	14.184014	10	21
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	1169	0.6870944	2452.06535	40.347257	1.9324782	1982-1999 –> 2000-2009	1.1232498	0.4361554	4044.25091	104.887153	1	3
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1169	0.6873070	2452.78852	61.190661	1.8900026	1982-1999 –> 2000-2009	1.1234365	0.4361295	4044.81502	164.496623	2	3
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1169	0.6885630	2457.05732	261.290304	1.9185804	1982-1999 –> 2000-2009	1.1247221	0.4361591	4049.26553	592.690055	4	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + oxygen + nitrate	1169	0.6898801	2459.52516	30.433633	1.9761684	1982-1999 –> 2000-2009	1.1283449	0.4384648	4063.87442	50.100237	5	9
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + oxygen + nitrate	1169	0.7104041	2528.06623	52.391361	2.8859879	1982-1999 –> 2000-2009	1.1709835	0.4605795	4264.38550	150.928693	9	15
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + nitrate	1169	0.7095295	2525.18607	34.501072	2.9134731	1982-1999 –> 2000-2009	1.1720445	0.4625150	4272.75273	95.610650	8	16
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ oxygen + aou + nitrate	1169	0.7131827	2537.19288	233.659465	2.9565476	1982-1999 –> 2000-2009	1.1734871	0.4603044	4271.91028	559.845503	10	15
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ oxygen + nitrate	1169	0.7214551	2562.15603	4.642631	3.3209889	1982-1999 –> 2000-2009	1.1825312	0.4610761	4299.36576	10.465010	12	19
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + nitrate	1169	0.6921920	2467.34701	33.585526	1.9629096	1982-1999 –> 2000-2009	1.2460686	0.5538766	4698.37894	64.226836	6	15
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + temp + nitrate	1169	0.6875639	2451.66232	16.304883	1.8904602	1982-1999 –> 2000-2009	1.2711761	0.5836121	4822.94844	23.373325	3	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1656	0.4456973	2035.04671	61.630139	5.0652756	2000-2009 –> 2010-2019	1.1330043	0.6873070	4487.83524	122.820800	1	3
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1656	0.4461214	2038.19661	226.477662	5.1025588	2000-2009 –> 2010-2019	1.1346844	0.6885630	4495.25393	487.767966	2	6
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + oxygen + nitrate	1656	0.4462046	2036.81459	47.149163	5.1194096	2000-2009 –> 2010-2019	1.1360848	0.6898801	4496.33975	77.582796	3	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	1656	0.4493273	2061.91223	44.709403	5.1351015	2000-2009 –> 2010-2019	1.1364217	0.6870944	4513.97758	85.056660	4	5
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + nitrate	1656	0.4658567	2179.56326	44.661950	4.7312723	2000-2009 –> 2010-2019	1.1580487	0.6921920	4646.91027	78.247476	5	11
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + temp + nitrate	1656	0.5275196	2591.27077	20.613633	4.8573786	2000-2009 –> 2010-2019	1.2150835	0.6875639	5042.93309	36.918516	6	9
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ sal + nitrate	1656	0.5438003	2689.94259	2.477242	4.4192007	2000-2009 –> 2010-2019	1.2390814	0.6952811	5165.70043	5.066590	7	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + nitrate	1656	0.6236557	3145.74097	27.031982	3.0901774	2000-2009 –> 2010-2019	1.3331852	0.7095295	5670.92704	61.533054	9	17
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + oxygen + nitrate	1656	0.6234807	3144.81179	38.036726	3.0410239	2000-2009 –> 2010-2019	1.3338848	0.7104041	5672.87801	90.428086	8	17
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ temp + nitrate	1656	0.6236816	3143.87865	1.281349	3.1166550	2000-2009 –> 2010-2019	1.3402707	0.7165890	5690.21196	2.902921	10	21
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + nitrate	62	0.0178347	-315.35127	921.264163	0.0348236	1982-1999 –> 2000-2009	0.5061418	0.4883071	-58.79805	1128.288491	2	3
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ oxygen + nitrate	62	0.0095194	-393.20064	801.958245	0.0385599	1982-1999 –> 2000-2009	0.5241079	0.5145885	-118.08963	1008.350047	1	5
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + nitrate	62	0.0283625	-255.82484	173.645158	0.0578037	1982-1999 –> 2000-2009	0.5404841	0.5121216	19.58499	364.354402	3	5
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + nitrate	62	0.0382064	-220.88096	65.870876	0.0847715	1982-1999 –> 2000-2009	0.5507777	0.5125713	52.83961	69.239181	5	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ temp + nitrate	62	0.0283718	-257.78408	148.681918	0.0570807	1982-1999 –> 2000-2009	0.6447237	0.6163519	81.20637	281.830115	4	9
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + oxygen	62	3.3302071	335.12465	297.229738	7.6023917	1982-1999 –> 2000-2009	14.3110679	10.9808608	1695.66735	754.552129	7	13
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + aou	62	3.3278061	335.03522	200.987861	7.6041900	1982-1999 –> 2000-2009	14.3329047	11.0050986	1696.35843	505.992326	6	14
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + aou	62	3.3327298	333.21855	75.580821	7.6496178	1982-1999 –> 2000-2009	14.4406116	11.1078818	1695.83264	79.419023	8	17
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + oxygen	62	3.5374654	340.61128	79.912955	7.3649214	1982-1999 –> 2000-2009	14.5409554	11.0034900	1699.88274	83.767941	11	18
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ temp + aou	62	3.3545853	334.02907	173.273624	7.8265668	1982-1999 –> 2000-2009	16.4607874	13.1062021	1755.20560	475.482041	9	19
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + aou	16	0.4754624	29.61507	490.433364	1.1719577	2000-2009 –> 2010-2019	3.8081922	3.3327298	362.83362	566.014186	2	3
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + oxygen	16	0.4618413	28.68495	456.757582	1.2316291	2000-2009 –> 2010-2019	3.9993067	3.5374654	369.29623	536.670537	1	3
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + temp	16	0.5237153	32.70821	349.078116	1.3561632	2000-2009 –> 2010-2019	8.4535765	7.9298612	473.41539	419.442922	3	6

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	15.760155	3423.1388
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	14.441847	3519.4869
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	13.298479	11072.3474
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	13.099551	11526.6174
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	9.804039	10375.8894
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	9.738994	10026.5863
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	9.179225	15450.6812
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	9.432996	14166.0433
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	8.159552	20244.2292
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	9.890188	18132.6761
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.394476	24740.8103
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.834775	24552.4284
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	9.199609	36004.4035
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	11.103533	36577.8663
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	13.653992	23398.2026
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	15.841205	25683.9009
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	14.023355	68779.4783
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	17.896346	76073.8987
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	12.352898	53764.8403
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	16.668699	55454.1978
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	5.337220	20179.2077
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	5.664373	20726.3944
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	3.413095	13719.2138
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	3.432724	16259.3377
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.666457	4387.7770
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.637726	5334.3489
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	2.150353	5970.3616
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.682175	4392.3299
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	25.099246	46328.3659
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	25.678913	71233.8082
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	20.824769	42054.7224
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	24.101378	47933.0568
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	18.735609	37764.9710
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	22.122298	40939.5439
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	18.621219	46156.8572
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	20.529275	53955.3803
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	16.304558	57432.7471
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	15.622363	63901.1665
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	11.419852	65441.2455
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	10.685006	73888.0744
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	9.151687	68485.6175
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	8.087184	78173.0760
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.878064	23264.7509
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	3.723571	28583.2448
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.458516	27869.9636
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.189578	34756.6455
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.948097	49726.3847
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.625465	57496.6702
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.105816	26952.7446
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.011267	36031.3925
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.089638	44935.8080
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.250920	56008.2695
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.171604	4283.1948
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.215975	4988.2967
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	7.685256	851.9690
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	5.420358	401.8484

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
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
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	oxygen	sal	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	5	10	5	6	6
(26,26.5]	4	10	4	6	6
(26.5,26.75]	4	10	4	6	6
(26.75,27]	4	10	4	6	6
(27,27.25]	6	10	6	5	4
(27.25,27.5]	6	10	6	5	4
(27.5,27.75]	6	10	6	5	4
(27.75,27.85]	6	10	6	5	4
(27.85,27.95]	5	10	5	7	5
(27.95,28.05]	5	10	5	7	5
(28.05,28.1]	5	10	5	7	5
(28.1,28.15]	5	10	5	7	5
(28.15,28.2]	6	10	5	6	5
(28.2, Inf]	4	10	6	5	6
total	71.00	140.00	72.00	83.00	71.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	5	10	5	6	6
(26,26.5]	4	10	4	6	6
(26.5,26.75]	4	10	4	6	6
(26.75,27]	4	10	4	6	6
(27,27.25]	5	10	5	6	4
(27.25,27.5]	5	10	5	7	5
(27.5,27.75]	6	10	6	5	4
(27.75,27.85]	6	10	6	5	4
(27.85,27.95]	5	10	6	6	5
(27.95,28.05]	6	10	6	5	4
(28.05,28.1]	5	10	5	7	5
(28.1,28.15]	5	10	5	7	5
(28.15,28.2]	5	10	5	7	5
(28.2, Inf]	5	10	5	6	6
total	70.00	140.00	71.00	85.00	71.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	6	10	5	6	5
(26,26.5]	6	10	6	5	4
(26.5,26.75]	6	10	6	5	4
(26.75,27]	6	10	6	5	4
(27,27.25]	5	10	5	5	5
(27.25,27.5]	6	10	6	5	4
(27.5,27.75]	6	10	6	5	4
(27.75,27.85]	5	10	5	6	6
(27.85,27.95]	6	10	5	6	5
(27.95,28.05]	5	10	5	5	5
(28.05,28.1]	5	10	5	5	5
(28.1,28.2]	6	10	6	5	4
(28.2,28.3]	5	10	6	6	5
(28.3, Inf]	4	5	3	6	5
total	77.00	135.00	75.00	75.00	65.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	6	10	5	6	5
(26,26.5]	6	10	6	5	4
(26.5,26.75]	6	10	6	5	4
(26.75,27]	6	10	6	5	4
(27,27.25]	5	10	5	5	5
(27.25,27.5]	6	10	6	5	4
(27.5,27.75]	6	10	6	5	4
(27.75,27.85]	5	10	5	6	6
(27.85,27.95]	5	10	5	6	6
(27.95,28.05]	5	10	5	5	5
(28.05,28.1]	5	10	5	5	5
(28.1,28.2]	6	10	6	5	4
(28.2,28.3]	4	10	4	7	6
(28.3, Inf]	1	0	1	3	1
total	72.00	130.00	71.00	73.00	63.00

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
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
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