eMLR - model fitting

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Last updated: 2021-07-29

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

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Environment: empty

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Seed: set.seed(20200707)

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Session information: recorded

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Cache: none

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File paths: relative

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Repository version: 9c033af

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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_777777_256x240.png
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_cc0000_256x240.png
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_ffffff_256x240.png
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/index.html
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.min.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.min.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.structure.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.structure.min.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.theme.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.theme.min.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/kePrint-0.0.1/kePrint.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/lightable-0.0.1/lightable.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/navigation-1.1/codefolding.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/navigation-1.1/sourceembed.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/navigation-1.1/tabsets.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/tocify-1.9.1/jquery.tocify.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/tocify-1.9.1/jquery.tocify.js

Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.

---

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

File	Version	Author	Date	Message
html	400c457	Donghe-Zhu	2021-07-29	Build site.
html	3ba7852	Donghe-Zhu	2021-07-29	Build site.
html	422d5fd	Donghe-Zhu	2021-07-29	Build site.
Rmd	0f6c901	Donghe-Zhu	2021-07-29	local rebuild
html	ec68363	Donghe-Zhu	2021-07-28	Build site.
html	d3018f6	Donghe-Zhu	2021-07-28	Build site.
html	b8ba2c4	Donghe-Zhu	2021-07-28	Build site.
Rmd	9627e07	Donghe-Zhu	2021-07-28	local rebuild
html	a4ddd84	Donghe-Zhu	2021-07-27	Build site.
html	7ef49ab	Donghe-Zhu	2021-07-27	Build site.
html	da818c0	Donghe-Zhu	2021-07-27	Build site.
html	8623898	Donghe-Zhu	2021-07-27	Build site.
html	f84b77c	Donghe-Zhu	2021-07-27	Build site.
html	70ad9a5	Donghe-Zhu	2021-07-27	Build site.
html	0d0b48d	Donghe-Zhu	2021-07-27	Build site.
Rmd	376ec48	Donghe-Zhu	2021-07-27	local rebuild
html	d0d97c6	Donghe-Zhu	2021-07-27	Build site.
html	829510d	Donghe-Zhu	2021-07-27	Build site.
html	780627d	Donghe-Zhu	2021-07-27	Build site.
html	e9838c9	Donghe-Zhu	2021-07-27	Build site.
html	2777f33	Donghe-Zhu	2021-07-27	Build site.
html	d19760f	Donghe-Zhu	2021-07-27	Build site.
html	cac5680	Donghe-Zhu	2021-07-23	Build site.
html	7bb279a	Donghe-Zhu	2021-07-23	Build site.
html	d52eac4	Donghe-Zhu	2021-07-23	Build site.
html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
html	419cb72	Donghe-Zhu	2021-07-22	Build site.
html	9447d10	Donghe-Zhu	2021-07-22	Build site.
html	639c9a0	Donghe-Zhu	2021-07-22	Build site.
html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
Rmd	573cc5d	Donghe-Zhu	2021-07-22	local rebuild
html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
Rmd	ec15bf2	Donghe-Zhu	2021-07-20	local rebuild
html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
html	db1e7b7	Donghe-Zhu	2021-07-19	Build site.
Rmd	38a8d51	Donghe-Zhu	2021-07-19	local rebuild
html	ff0575d	Donghe-Zhu	2021-07-19	Build site.
html	5d60eac	Donghe-Zhu	2021-07-19	Build site.
html	57d0420	Donghe-Zhu	2021-07-16	Build site.
html	c1be8f6	Donghe-Zhu	2021-07-16	1
html	26a7c15	Donghe-Zhu	2021-07-16	Build site.
html	046902b	Donghe-Zhu	2021-07-16	Build site.
html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
html	be6fff9	Donghe-Zhu	2021-07-15	Build site.
Rmd	b8bd687	Donghe-Zhu	2021-07-15	local rebuild
html	b473472	Donghe-Zhu	2021-07-15	Build site.
html	363270a	Donghe-Zhu	2021-07-15	Build site.
Rmd	bb00951	Donghe-Zhu	2021-07-15	local rebuild
html	8b75a03	Donghe-Zhu	2021-07-15	Build site.
Rmd	4f7d192	Donghe-Zhu	2021-07-15	local rebuild
html	294f8ca	Donghe-Zhu	2021-07-15	Build site.
html	a01e135	Donghe-Zhu	2021-07-07	Build site.
html	bc83ef2	Donghe-Zhu	2021-07-07	Build site.
Rmd	0a4ac57	Donghe-Zhu	2021-07-07	local rebuild
html	75e7b07	Donghe-Zhu	2021-07-06	Build site.
html	697aa6d	Donghe-Zhu	2021-07-06	Build site.
html	d52e2de	Donghe-Zhu	2021-07-06	Build site.
html	f2bde6b	Donghe-Zhu	2021-07-06	Build site.
html	1133f28	Donghe-Zhu	2021-07-06	Build site.
html	fe3a1cd	Donghe-Zhu	2021-07-06	Build site.
html	d9cdf15	Donghe-Zhu	2021-07-06	Build site.
html	ee4cd2d	Donghe-Zhu	2021-07-06	Build site.
html	93821c1	Donghe-Zhu	2021-07-05	Build site.
html	d44db8e	Donghe-Zhu	2021-07-05	Build site.
html	20b3436	Donghe-Zhu	2021-07-05	Build site.
html	d982ea5	Donghe-Zhu	2021-07-05	Build site.
html	7397e53	Donghe-Zhu	2021-07-05	Build site.
html	f2e4805	Donghe-Zhu	2021-07-05	Build site.
html	e2d011a	Donghe-Zhu	2021-07-05	Build site.
html	85e0349	Donghe-Zhu	2021-07-05	Build site.
html	6ee0146	Donghe-Zhu	2021-07-05	Build site.
html	a482a6b	Donghe-Zhu	2021-07-05	Build site.
html	f59f1b3	Donghe-Zhu	2021-07-05	Build site.
html	116bcab	Donghe-Zhu	2021-07-04	Build site.
html	cb1c8dc	Donghe-Zhu	2021-07-04	Build site.
html	c9bdd83	Donghe-Zhu	2021-07-04	Build site.
html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
html	90a9da5	Donghe-Zhu	2021-06-25	Build site.
html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
html	e7a5266	Donghe-Zhu	2021-06-24	Build site.
html	7c57720	Donghe-Zhu	2021-06-24	Build site.
html	b5b95a9	Donghe-Zhu	2021-06-24	Build site.
html	472aad4	Donghe-Zhu	2021-06-24	Build site.
Rmd	76ce72b	Donghe-Zhu	2021-06-24	local rebuild
html	d517836	Donghe-Zhu	2021-06-24	0
html	9221bfe	Donghe-Zhu	2021-06-24	Build site.
html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
html	256a616	Donghe-Zhu	2021-06-23	Build site.
html	00072e2	Donghe-Zhu	2021-06-23	Build site.
Rmd	71d2509	Donghe-Zhu	2021-06-23	local rebuild
html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
html	72c2f2e	Donghe-Zhu	2021-06-15	Build site.
html	d97dcb6	Donghe-Zhu	2021-06-08	1
html	25dda1d	Donghe-Zhu	2021-06-08	Build site.
html	bd2bcc3	Donghe-Zhu	2021-06-08	Build site.
html	e9b27d7	Donghe-Zhu	2021-06-07	Build site.
html	7ae0d4b	Donghe-Zhu	2021-06-07	Build site.
html	325391f	Donghe-Zhu	2021-06-07	Build site.
html	ed89970	Donghe-Zhu	2021-06-07	Build site.
html	df37958	Donghe-Zhu	2021-06-07	1
html	812bf63	Donghe-Zhu	2021-06-06	Build site.
html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
html	5d8fa90	Donghe-Zhu	2021-06-06	Build site.
html	dbe2a95	Donghe-Zhu	2021-05-28	Build site.
html	d50b039	Donghe-Zhu	2021-05-28	Build site.
html	441ebe5	Donghe-Zhu	2021-05-28	Build site.
html	6262ad3	Donghe-Zhu	2021-05-28	Build site.
html	a61aa77	Donghe-Zhu	2021-05-28	Build site.
html	b8dbce4	Donghe-Zhu	2021-05-28	Build site.
html	94a833e	Donghe-Zhu	2021-05-27	Build site.
html	5e0bd64	Donghe-Zhu	2021-05-27	Build site.
html	af1eadd	Donghe-Zhu	2021-05-27	Build site.
html	9179bfe	Donghe-Zhu	2021-05-27	Build site.
html	28cbe5e	Donghe-Zhu	2021-05-27	Build site.
html	a618f02	Donghe-Zhu	2021-05-27	Build site.
html	4623e38	Donghe-Zhu	2021-05-27	Build site.
html	b81bb49	Donghe-Zhu	2021-05-27	Build site.
html	951e188	Donghe-Zhu	2021-05-27	Build site.
html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
html	2705a04	Donghe-Zhu	2021-03-28	Build site.
html	cd5f759	Donghe-Zhu	2021-03-28	Build site.
Rmd	347fb44	Donghe-Zhu	2021-03-28	local rebuild
html	75dda4d	Donghe-Zhu	2021-03-27	Build site.
html	0b19f6e	Donghe-Zhu	2021-03-27	Build site.
html	e2704ca	Donghe-Zhu	2021-03-27	Build site.
Rmd	b1706de	Donghe-Zhu	2021-03-27	local rebuild
html	3061a0b	Donghe-Zhu	2021-03-27	Build site.
html	b883157	Donghe-Zhu	2021-03-27	Build site.
html	0c20513	Donghe-Zhu	2021-03-26	Build site.
html	d19654d	Donghe-Zhu	2021-03-26	Build site.
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html	6c53dbf	Donghe-Zhu	2021-03-25	Build site.
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html	1914a11	Donghe-Zhu	2021-03-24	Build site.
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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.
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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.
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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.
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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.
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html	1843412	Donghe-Zhu	2021-03-08	Build site.
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html	3fbbfa4	Donghe-Zhu	2021-03-07	Build site.
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html	9ef3222	Donghe-Zhu	2021-03-05	Build site.
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html	8c1e978	Donghe-Zhu	2021-03-05	Build site.
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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.
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html	731abc8	Donghe-Zhu	2021-03-04	Build site.
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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.
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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
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html	feb991c	Donghe-Zhu	2021-02-27	Build site.
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• temp, aou, nitrate, silicate, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

lm_rm <- bind_rows(lm_rm_ph, lm_rm_si) %>%
  unique()

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 56

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	113	1.9054805	480.3900	83.240015	5.197366	1982-1999 –> 2000-2009	5.532451	3.6269701	824.6851	287.540374	1	4
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	113	2.3432692	527.1297	174.636953	6.915516	1982-1999 –> 2000-2009	5.658683	3.3154138	860.4673	399.685072	9	10
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	113	2.2128586	514.1886	121.735075	5.567936	1982-1999 –> 2000-2009	5.775329	3.5624709	856.2945	359.696213	4	6
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	113	2.1433107	506.9716	743.011035	7.090368	1982-1999 –> 2000-2009	5.899284	3.7559732	855.5305	1006.763310	3	8
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	113	2.2205058	512.9682	4.761729	6.066269	1982-1999 –> 2000-2009	6.097227	3.8767207	863.3875	113.678943	6	13
Atlantic	(-Inf,26]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	113	2.3698590	527.6798	9.960431	8.911463	1982-1999 –> 2000-2009	6.126229	3.7563698	874.2516	65.831965	11	17
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	113	2.4083723	531.3231	21.035649	8.585496	1982-1999 –> 2000-2009	6.468592	4.0602199	887.3845	208.575767	12	21
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	113	2.2280647	513.7362	48.742935	6.012996	1982-1999 –> 2000-2009	6.629200	4.4011352	879.6340	60.892279	7	21
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate	113	2.2169729	512.6084	6.787283	5.930997	1982-1999 –> 2000-2009	6.727621	4.5106484	881.5047	26.658211	5	21
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	113	2.3506792	525.8433	46.552403	6.462522	1982-1999 –> 2000-2009	6.742207	4.3915275	891.4744	62.568273	10	22
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	58	1.9517965	256.1719	213.449033	7.244075	2000-2009 –> 2010-2019	3.857277	1.9054805	736.5619	296.689047	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	58	2.0956969	264.4237	113.625711	7.834386	2000-2009 –> 2010-2019	4.239008	2.1433107	771.3953	856.636745	6	9
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	58	2.0291514	260.6805	92.132318	7.585674	2000-2009 –> 2010-2019	4.242010	2.2128586	774.8691	213.867393	4	8
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	58	1.9973489	258.8481	103.612229	7.391704	2000-2009 –> 2010-2019	4.340618	2.3432692	785.9778	278.249181	2	11
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	58	2.1575526	265.7979	29.773574	7.741697	2000-2009 –> 2010-2019	4.378058	2.2205058	778.7661	34.535302	7	13
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	58	2.0490994	259.8153	66.263357	7.668590	2000-2009 –> 2010-2019	4.457472	2.4083723	791.1384	87.299007	5	17
Atlantic	(-Inf,26]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	58	2.2066504	268.4081	46.885485	7.747115	2000-2009 –> 2010-2019	4.576510	2.3698590	796.0878	56.845916	8	19
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	58	2.8474857	297.9835	31.104997	9.215042	2000-2009 –> 2010-2019	5.283357	2.4358716	831.8724	95.899057	12	25
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	58	3.6032104	325.2886	117.602493	11.908089	2000-2009 –> 2010-2019	5.510121	1.9069109	803.8482	126.003878	19	21
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	58	3.3035000	315.2148	17.500178	11.371732	2000-2009 –> 2010-2019	5.531565	2.2280647	828.9511	66.243114	15	22
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	234	4.4130731	1372.8426	120.117164	10.980181	1982-1999 –> 2000-2009	8.154094	3.7410214	3599.3867	247.677931	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	234	4.4184466	1373.4121	113.846555	11.053275	1982-1999 –> 2000-2009	8.162634	3.7441870	3600.6397	237.490822	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	234	4.4225550	1373.8471	116.568120	11.107961	1982-1999 –> 2000-2009	8.183171	3.7606159	3604.6123	241.936792	5	11
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	234	4.4363213	1375.3016	115.638758	11.295530	1982-1999 –> 2000-2009	8.218010	3.7816884	3610.5817	238.389798	7	15
Atlantic	(26,26.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	234	4.4783978	1377.7194	5.320578	11.591178	1982-1999 –> 2000-2009	8.226098	3.7477004	3603.7048	13.672857	9	12
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	234	4.4785606	1377.7364	4.810073	11.605377	1982-1999 –> 2000-2009	8.233433	3.7548724	3605.2666	9.852438	10	15
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	234	4.4801400	1377.9014	10.382006	11.655262	1982-1999 –> 2000-2009	8.251064	3.7709236	3608.8783	23.137441	11	18
Atlantic	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	234	4.4863091	1378.5454	74.117263	11.770407	1982-1999 –> 2000-2009	8.283388	3.7970788	3615.1073	156.702833	12	21
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	234	4.4141868	1370.9607	6.792488	10.899669	1982-1999 –> 2000-2009	8.285735	3.8715477	3623.2157	18.527250	2	12
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	234	4.5380024	1383.9071	4.726490	11.569256	1982-1999 –> 2000-2009	8.287447	3.7494444	3610.2684	10.724132	13	17
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	367	4.0765743	2086.9595	232.983802	15.969176	2000-2009 –> 2010-2019	8.489647	4.4130731	3459.8021	353.100966	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	367	4.0869496	2088.8253	231.533650	16.293281	2000-2009 –> 2010-2019	8.505396	4.4184466	3462.2374	345.380205	3	6
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	367	4.0990032	2088.9869	7.951159	14.933308	2000-2009 –> 2010-2019	8.513190	4.4141868	3459.9475	14.743647	6	8
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	367	4.1028000	2091.6664	232.639395	16.265844	2000-2009 –> 2010-2019	8.525355	4.4225550	3465.5135	349.207515	7	12
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	367	4.1265655	2093.9059	5.583645	14.978431	2000-2009 –> 2010-2019	8.547865	4.4212996	3465.6201	10.379167	9	13
Atlantic	(26,26.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	367	4.0791413	2085.4216	6.104505	16.321952	2000-2009 –> 2010-2019	8.557539	4.4783978	3463.1410	11.425083	2	11
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	367	4.1340405	2095.2342	9.537946	15.069923	2000-2009 –> 2010-2019	8.559718	4.4256770	3467.4116	20.251696	12	18
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	367	4.1267835	2095.9446	231.610062	16.730920	2000-2009 –> 2010-2019	8.563105	4.4363213	3471.2462	347.248820	10	17
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	367	4.0869580	2086.8268	5.594977	16.312458	2000-2009 –> 2010-2019	8.565519	4.4785606	3464.5632	10.405050	4	14
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	367	4.1033943	2089.7727	11.211709	16.431746	2000-2009 –> 2010-2019	8.583534	4.4801400	3467.6742	21.593715	8	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	389	2.6645481	1880.4010	94.679204	8.528133	1982-1999 –> 2000-2009	5.441156	2.7766083	4412.6551	165.905640	1	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	389	2.7007526	1890.9009	73.344582	8.584403	1982-1999 –> 2000-2009	5.448828	2.7480756	4412.4952	143.094909	2	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	389	2.7944197	1917.4260	84.223847	8.598476	1982-1999 –> 2000-2009	5.510841	2.7164211	4427.0639	154.695587	5	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	389	2.7302291	1897.3461	4.030074	8.890109	1982-1999 –> 2000-2009	5.680648	2.9504186	4490.2600	6.924466	4	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	389	2.7234883	1895.4229	6.025454	8.946666	1982-1999 –> 2000-2009	5.689465	2.9659763	4493.7643	10.717316	3	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	389	2.8008363	1917.2104	9.982074	8.734400	1982-1999 –> 2000-2009	5.703759	2.9029225	4493.3760	23.938468	6	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	389	2.8808593	1939.1271	24.313850	7.722550	1982-1999 –> 2000-2009	5.748099	2.8672399	4502.5287	57.978045	8	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	389	3.1220030	2003.6675	93.422517	9.113281	1982-1999 –> 2000-2009	5.795600	2.6735971	4496.9065	196.487859	10	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	389	3.0563330	1985.1281	20.728827	7.532577	1982-1999 –> 2000-2009	5.894191	2.8378578	4537.8997	46.515649	9	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	389	3.1290829	2003.4299	22.375626	8.660801	1982-1999 –> 2000-2009	5.968746	2.8396631	4556.8578	96.886974	11	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	464	4.3812784	2701.7470	104.767815	11.196612	2000-2009 –> 2010-2019	7.045827	2.6645481	4582.1480	199.447019	4	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	464	4.3669911	2698.7159	98.766101	10.909202	2000-2009 –> 2010-2019	7.067744	2.7007526	4589.6167	172.110682	3	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	464	4.3598236	2697.1915	101.931042	10.761671	2000-2009 –> 2010-2019	7.154243	2.7944197	4614.6175	186.154889	1	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	464	4.4072883	2705.2399	27.401518	11.555455	2000-2009 –> 2010-2019	7.288148	2.8808593	4644.3670	51.715368	7	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	464	4.5741715	2739.7299	6.392388	13.121257	2000-2009 –> 2010-2019	7.297660	2.7234883	4635.1528	12.417842	12	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	464	4.5682469	2738.5272	4.075181	13.073976	2000-2009 –> 2010-2019	7.298476	2.7302291	4635.8733	8.105255	11	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	464	4.5390846	2732.5841	13.250803	12.673642	2000-2009 –> 2010-2019	7.339921	2.8008363	4649.7945	23.232877	10	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	464	4.3966191	2702.9906	18.987452	11.164179	2000-2009 –> 2010-2019	7.452952	3.0563330	4688.1187	39.716279	6	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	464	4.3632835	2697.9276	225.391187	10.259666	2000-2009 –> 2010-2019	7.485286	3.1220030	4701.5952	318.813705	2	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	464	4.6775149	2760.4627	4.953011	13.073267	2000-2009 –> 2010-2019	7.535644	2.8581292	4693.4270	10.664913	13	20
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	603	2.2627853	2710.0552	123.825389	8.292722	1982-1999 –> 2000-2009	3.917069	1.6542834	7010.7986	199.039478	1	3
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	603	2.3509811	2756.1681	173.778055	9.979930	1982-1999 –> 2000-2009	3.929500	1.5785194	6952.3677	371.441045	5	6
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	603	2.2680788	2712.8732	117.809855	7.687926	1982-1999 –> 2000-2009	3.968332	1.7002533	7074.7394	192.953455	2	6
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	603	2.2867790	2722.7758	131.281784	7.340916	1982-1999 –> 2000-2009	4.018481	1.7317020	7125.5123	206.521796	3	8
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	603	2.3775009	2767.6960	66.631381	12.376695	1982-1999 –> 2000-2009	4.070389	1.6928882	7117.8813	218.982685	7	10
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	603	2.3419913	2749.5478	18.564909	12.292517	1982-1999 –> 2000-2009	4.109186	1.7671943	7195.5274	50.064033	4	10
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	603	2.3770516	2767.4681	3.907343	12.280808	1982-1999 –> 2000-2009	4.192194	1.8151419	7273.1460	10.062928	6	13
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	603	2.3978419	2777.9702	3.899122	12.247650	1982-1999 –> 2000-2009	4.233488	1.8356461	7308.6974	10.100045	8	16
Atlantic	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	603	2.6833609	2913.6464	4.501764	16.218880	1982-1999 –> 2000-2009	5.226572	2.5432115	8171.4230	12.013624	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	603	3.4807018	3227.4040	92.621971	9.428445	1982-1999 –> 2000-2009	6.263990	2.7832877	8686.3382	150.061124	13	24
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	873	2.4951514	4087.9207	98.225751	10.324191	2000-2009 –> 2010-2019	4.757937	2.2627853	6797.9760	222.051140	2	3
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	873	2.4270365	4039.5942	270.867702	9.744290	2000-2009 –> 2010-2019	4.778017	2.3509811	6795.7623	444.645757	1	6
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	873	2.5151472	4101.8572	97.435244	10.466575	2000-2009 –> 2010-2019	4.783226	2.2680788	6814.7304	215.245099	3	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	873	2.5581855	4131.4814	100.966816	10.621590	2000-2009 –> 2010-2019	4.844964	2.2867790	6854.2572	232.248600	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	873	3.0369127	4428.9959	200.097279	14.513261	2000-2009 –> 2010-2019	5.414414	2.3775009	7196.6919	266.728660	5	12
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	873	3.1408398	4487.7466	22.398582	14.932533	2000-2009 –> 2010-2019	5.482831	2.3419913	7237.2944	40.963492	6	10
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	873	3.1787961	4508.7201	4.097366	15.053195	2000-2009 –> 2010-2019	5.555848	2.3770516	7276.1882	8.004710	7	13
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	873	3.1923840	4516.1676	4.486923	15.067215	2000-2009 –> 2010-2019	5.590226	2.3978419	7294.1378	8.386045	8	16
Atlantic	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	873	3.6185312	4734.9418	4.671550	18.202473	2000-2009 –> 2010-2019	6.301892	2.6833609	7648.5881	9.173314	10	19
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	873	3.3740253	4612.7886	61.297868	12.490959	2000-2009 –> 2010-2019	6.759759	3.3857333	7806.8305	120.530219	9	19
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	967	2.1383141	4228.1014	115.595359	5.950446	1982-1999 –> 2000-2009	3.662173	1.5238585	9240.0416	261.205764	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	967	2.3506039	4411.1633	122.729238	6.124785	1982-1999 –> 2000-2009	3.878647	1.5280433	9430.5519	262.167147	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	967	2.3754039	4431.4611	119.756735	6.227370	1982-1999 –> 2000-2009	3.952412	1.5770085	9536.5168	262.871985	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	967	2.3790519	4432.4289	69.396436	6.921199	1982-1999 –> 2000-2009	4.755426	2.3763740	10649.1698	174.114786	4	18
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	967	2.8634660	4792.8585	247.830359	9.029857	1982-1999 –> 2000-2009	4.815378	1.9519123	10477.1823	542.764974	5	12
Atlantic	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	967	3.2504234	5035.9978	15.926849	15.113293	1982-1999 –> 2000-2009	5.141003	1.8905799	10631.6108	30.897227	9	14
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	967	2.9762512	4865.5723	116.425350	9.919719	1982-1999 –> 2000-2009	5.141786	2.1655350	10829.9741	224.411768	7	16
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	967	3.2834441	5055.5460	15.755785	15.158818	1982-1999 –> 2000-2009	5.166789	1.8833446	10640.7448	30.359684	10	14
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	967	2.9232479	4830.8198	112.156645	9.846671	1982-1999 –> 2000-2009	5.172793	2.2495450	10898.5941	242.705984	6	17
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	967	3.0417342	4907.6625	114.643079	10.004214	1982-1999 –> 2000-2009	5.189745	2.1480104	10849.9957	231.428535	8	16
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1287	2.2933791	5802.8355	236.028532	7.255217	2000-2009 –> 2010-2019	4.431693	2.1383141	10030.9369	351.623891	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1287	2.4448224	5967.4330	203.507492	7.874197	2000-2009 –> 2010-2019	4.795426	2.3506039	10378.5962	326.236730	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1287	2.4461038	5968.7817	221.546617	7.914057	2000-2009 –> 2010-2019	4.821508	2.3754039	10400.2428	341.303352	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1287	2.4466261	5967.3313	123.162163	7.913416	2000-2009 –> 2010-2019	4.825678	2.3790519	10399.7601	192.558599	4	8
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1287	2.7460038	6266.4654	369.202463	9.738967	2000-2009 –> 2010-2019	5.609470	2.8634660	11059.3239	617.032822	5	10
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1287	3.0868563	6565.6401	211.202135	14.241732	2000-2009 –> 2010-2019	6.010104	2.9232479	11396.4599	323.358781	6	12
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1287	3.1629865	6628.3517	176.735379	12.516179	2000-2009 –> 2010-2019	6.139238	2.9762512	11493.9240	293.160729	7	14
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1287	3.1961623	6655.2092	200.658080	12.435715	2000-2009 –> 2010-2019	6.237896	3.0417342	11562.8717	315.301159	8	16
Atlantic	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1287	3.2380382	6688.7145	16.570561	17.508303	2000-2009 –> 2010-2019	6.488462	3.2504234	11724.7123	32.497410	11	20
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1287	3.2355703	6686.7519	16.268631	17.449289	2000-2009 –> 2010-2019	6.519014	3.2834441	11742.2980	32.024416	9	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1773	3.1350922	9097.4234	215.855318	13.722607	1982-1999 –> 2000-2009	5.145903	2.0108107	17306.0576	693.069216	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1773	3.4984014	9486.2335	153.203147	10.630833	1982-1999 –> 2000-2009	5.621401	2.1229997	17904.9780	443.176424	4	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1773	3.4672831	9454.5508	199.083451	11.553384	1982-1999 –> 2000-2009	5.648530	2.1812474	17978.0439	662.170217	3	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	1773	3.4998255	9485.6768	32.422030	10.724010	1982-1999 –> 2000-2009	5.761213	2.2613873	18146.8057	89.560015	5	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1773	3.4663121	9451.5575	191.592039	16.247617	1982-1999 –> 2000-2009	5.861688	2.3953761	18335.4504	637.349177	2	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1773	3.7336948	9715.0504	147.801361	13.225901	1982-1999 –> 2000-2009	6.166801	2.4331062	18659.4254	433.559952	6	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1773	3.8399391	9814.5448	169.652401	14.064383	1982-1999 –> 2000-2009	6.341347	2.5014083	18866.0615	551.792805	7	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	1773	3.8899704	9858.4479	6.031806	16.104151	1982-1999 –> 2000-2009	6.829292	2.9393217	19532.2921	14.826721	8	29
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1773	4.1541684	10093.4582	16.528090	13.615704	1982-1999 –> 2000-2009	6.899144	2.7449751	19504.5680	36.133775	10	22
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1773	4.3144087	10227.6672	21.104285	14.845072	1982-1999 –> 2000-2009	6.995327	2.6809181	19547.3958	45.093076	12	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1998	3.6073293	10810.8173	482.818222	10.101954	2000-2009 –> 2010-2019	6.742422	3.1350922	19908.2408	698.673540	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1998	3.7751410	10992.5156	460.536258	10.833790	2000-2009 –> 2010-2019	7.242424	3.4672831	20447.0663	659.619709	2	5
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1998	3.7990299	11017.7224	314.663699	10.969879	2000-2009 –> 2010-2019	7.297431	3.4984014	20503.9559	467.866846	3	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	1998	3.7995098	11016.2271	54.892156	10.960673	2000-2009 –> 2010-2019	7.299335	3.4998255	20501.9039	87.314186	4	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1998	4.1323746	11351.8118	431.132707	13.261956	2000-2009 –> 2010-2019	7.598687	3.4663121	20803.3693	622.724746	5	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1998	4.2125425	11428.5916	304.455799	13.681562	2000-2009 –> 2010-2019	7.946237	3.7336948	21143.6420	452.257160	7	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1998	4.2665273	11479.4760	404.656673	14.218133	2000-2009 –> 2010-2019	8.106466	3.8399391	21294.0208	574.309074	8	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1998	4.1765037	11394.2583	56.790623	11.917379	2000-2009 –> 2010-2019	8.222178	4.0456742	21393.8748	95.118759	6	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	1998	4.3633420	11567.1386	8.543931	15.015786	2000-2009 –> 2010-2019	8.253312	3.8899704	21425.5865	14.575737	10	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1998	4.3261346	11534.9175	17.828829	12.396216	2000-2009 –> 2010-2019	8.480303	4.1541684	21628.3756	34.356919	9	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3379	3.2629767	17595.4670	345.496737	13.173069	1982-1999 –> 2000-2009	5.393770	2.1307935	33755.5306	1069.710286	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	3379	3.2634937	17594.5376	23.515931	12.838337	1982-1999 –> 2000-2009	5.402667	2.1391729	33781.7312	56.506010	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3379	3.2931402	17655.6519	431.407384	12.827448	1982-1999 –> 2000-2009	5.602179	2.3090386	34409.9754	1333.276431	3	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3379	3.4165497	17904.2762	54.589985	12.938387	1982-1999 –> 2000-2009	5.612028	2.1954784	34284.2985	162.429638	6	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3379	3.2976812	17664.9643	308.082096	12.903820	1982-1999 –> 2000-2009	5.655492	2.3578109	34574.4250	966.245939	4	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	3379	3.4168771	17902.9237	29.744265	12.827465	1982-1999 –> 2000-2009	5.679280	2.2624034	34503.8118	96.531788	7	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	3379	3.3070070	17682.0488	2.776157	13.757134	1982-1999 –> 2000-2009	5.791078	2.4840708	34976.6785	7.370134	5	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	3379	3.5155163	18097.2523	26.343418	14.911034	1982-1999 –> 2000-2009	5.823607	2.3080908	34848.5285	60.750001	8	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	3379	3.5175057	18099.0755	2.511809	14.633660	1982-1999 –> 2000-2009	5.897795	2.3802893	35076.9593	6.588439	9	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3379	3.5289799	18123.0844	16.566048	15.887567	1982-1999 –> 2000-2009	5.974450	2.4454702	35303.4762	32.056916	10	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3894	3.8339388	21530.9294	729.113257	14.342223	2000-2009 –> 2010-2019	7.097374	3.2634356	39127.3468	1315.737190	2	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3894	3.8443832	21552.1167	405.468540	14.835860	2000-2009 –> 2010-2019	7.107360	3.2629767	39147.5837	750.965277	3	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	3894	3.8517500	21565.0262	28.416616	16.552754	2000-2009 –> 2010-2019	7.115244	3.2634937	39159.5638	51.932547	4	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3894	3.8959232	21655.8334	804.023546	12.500864	2000-2009 –> 2010-2019	7.195076	3.2991532	39325.8137	1501.637636	6	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3894	3.8033667	21466.5785	71.750377	16.876691	2000-2009 –> 2010-2019	7.219916	3.4165497	39370.8547	126.340362	1	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3894	3.9770074	21814.2580	559.813301	13.708591	2000-2009 –> 2010-2019	7.270148	3.2931402	39469.9099	991.220685	8	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	3894	3.8793983	21618.7296	47.867273	17.428507	2000-2009 –> 2010-2019	7.296275	3.4168771	39521.6533	77.611538	5	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3894	4.0321600	21921.5189	377.676824	13.741165	2000-2009 –> 2010-2019	7.329841	3.2976812	39586.4832	685.758919	10	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3894	4.0822363	22017.6441	656.555830	13.612359	2000-2009 –> 2010-2019	7.420792	3.3385556	39765.8582	1198.353094	14	22
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	3894	3.9341506	21729.8780	31.292461	14.735205	2000-2009 –> 2010-2019	7.449667	3.5155163	39827.1304	57.635879	7	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1320	1.8348400	5360.3650	170.440723	12.878755	1982-1999 –> 2000-2009	3.052073	1.2172328	9485.4754	437.062787	1	2
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	1320	1.8699025	5408.3376	169.694865	11.941916	1982-1999 –> 2000-2009	3.135808	1.2659057	9631.2710	434.529909	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	1320	1.9656960	5542.2321	28.108277	12.966660	1982-1999 –> 2000-2009	3.303323	1.3376269	9907.4735	61.307133	3	6
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	1320	2.0014782	5587.8567	3.115863	11.984018	1982-1999 –> 2000-2009	3.393601	1.3921226	10052.7664	8.138577	4	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1320	2.0255262	5621.3877	26.946531	13.022874	1982-1999 –> 2000-2009	3.430860	1.4053337	10112.3448	55.790287	5	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1320	2.0331519	5631.3081	26.786094	13.103022	1982-1999 –> 2000-2009	3.439952	1.4067998	10124.9198	49.919775	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1320	2.0398278	5639.9624	24.145603	13.270609	1982-1999 –> 2000-2009	3.447854	1.4080266	10135.7935	52.219269	7	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + silicate + phosphate_star	1320	2.1111686	5728.7157	17.910494	14.659173	1982-1999 –> 2000-2009	3.530015	1.4188461	10242.0359	40.679123	11	19
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + phosphate + phosphate_star	1320	2.0654676	5670.9392	20.858191	11.968799	1982-1999 –> 2000-2009	3.533406	1.4679385	10270.8619	39.223840	8	17
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	1320	2.0773622	5686.0989	2.976774	11.996799	1982-1999 –> 2000-2009	3.548260	1.4708977	10291.1488	6.551191	9	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1461	1.9130489	6053.6346	287.686205	7.310608	2000-2009 –> 2010-2019	3.747889	1.8348400	11413.9996	458.126928	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	1461	2.0472003	6251.6729	21.179964	7.842227	2000-2009 –> 2010-2019	4.012896	1.9656960	11793.9051	49.288242	2	5
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	1461	2.2374060	6509.2752	287.358690	6.531436	2000-2009 –> 2010-2019	4.107309	1.8699025	11917.6128	457.053555	8	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1461	2.1004653	6326.7266	23.173392	8.045783	2000-2009 –> 2010-2019	4.125991	2.0255262	11948.1143	50.119924	3	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1461	2.1036722	6331.1844	17.151134	8.050685	2000-2009 –> 2010-2019	4.136824	2.0331519	11962.4925	43.937228	4	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1461	2.1083869	6337.7258	22.068221	8.074400	2000-2009 –> 2010-2019	4.148215	2.0398278	11977.6882	46.213825	5	12
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + silicate + phosphate_star	1461	2.1394655	6378.4832	16.062230	7.914632	2000-2009 –> 2010-2019	4.250634	2.1111686	12107.1988	33.972724	6	17
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	1461	2.2115489	6477.3097	18.664843	8.777572	2000-2009 –> 2010-2019	4.333892	2.1223426	12221.9615	42.755875	7	19
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	1461	2.4160673	6733.7548	4.893107	7.233675	2000-2009 –> 2010-2019	4.417546	2.0014782	12321.6116	8.008970	9	13
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + phosphate + phosphate_star	1461	2.4969498	6829.9727	20.945581	7.467593	2000-2009 –> 2010-2019	4.562417	2.0654676	12500.9119	41.803771	10	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1311	2.9712431	6587.7635	406.146276	24.572443	1982-1999 –> 2000-2009	4.246031	1.2747878	11362.2480	886.707952	1	2
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	1311	3.0849646	6684.2452	327.575072	25.724593	1982-1999 –> 2000-2009	4.360051	1.2750868	11457.4020	793.001697	4	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	1311	3.0333389	6641.9958	34.176596	24.765304	1982-1999 –> 2000-2009	4.403242	1.3699030	11622.7183	65.963260	2	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1311	3.0690361	6672.6720	57.601132	24.880769	1982-1999 –> 2000-2009	4.503916	1.4348800	11786.2086	105.567382	3	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1311	3.0871861	6688.1326	33.949935	25.003553	1982-1999 –> 2000-2009	4.523077	1.4358913	11803.6884	55.561388	5	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	1311	3.1513807	6740.0951	8.031133	26.019068	1982-1999 –> 2000-2009	4.523689	1.3723084	11723.8456	18.210399	6	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1311	3.1622204	6751.0984	47.193117	25.509839	1982-1999 –> 2000-2009	4.599559	1.4373385	11869.5414	93.345075	7	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	1311	3.1822719	6765.6719	49.386651	26.117834	1982-1999 –> 2000-2009	4.623105	1.4408336	11889.0754	91.648279	8	17
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	1311	3.1917556	6773.4743	5.944078	26.168013	1982-1999 –> 2000-2009	4.634164	1.4424088	11900.0095	12.947822	9	19
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	1311	3.2230581	6799.0637	46.933966	26.299069	1982-1999 –> 2000-2009	4.668703	1.4456454	11932.0226	84.280969	10	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1449	2.1371070	6324.9788	464.737394	13.160998	2000-2009 –> 2010-2019	5.108350	2.9712431	12912.7422	870.883670	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	1449	2.1833971	6387.0798	20.750870	11.612242	2000-2009 –> 2010-2019	5.216736	3.0333389	13029.0756	54.927467	2	4
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1449	2.2115388	6424.1933	51.334322	11.798902	2000-2009 –> 2010-2019	5.280575	3.0690361	13096.8653	108.935454	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1449	2.2149685	6428.6841	19.786955	11.812907	2000-2009 –> 2010-2019	5.302155	3.0871861	13116.8167	53.736890	4	9
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	1449	2.2452549	6466.0415	442.188487	11.025669	2000-2009 –> 2010-2019	5.330220	3.0849646	13150.2867	769.763558	6	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1449	2.2333558	6452.6422	48.188869	11.876381	2000-2009 –> 2010-2019	5.395576	3.1622204	13203.7406	95.381986	5	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	1449	2.3322209	6576.1711	8.912635	10.957681	2000-2009 –> 2010-2019	5.483602	3.1513807	13316.2662	16.943768	8	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	1449	2.3792363	6634.0111	51.134736	11.111709	2000-2009 –> 2010-2019	5.561508	3.1822719	13399.6830	100.521387	9	17
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	1449	2.3912825	6648.6467	9.282107	11.118902	2000-2009 –> 2010-2019	5.583038	3.1917556	13422.1211	15.226185	10	19
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + silicate + phosphate_star	1449	2.2677417	6494.9213	19.469773	11.653470	2000-2009 –> 2010-2019	5.645013	3.3772713	13416.5306	40.935857	7	20
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1414	3.7669686	7775.4514	70.666317	20.389606	1982-1999 –> 2000-2009	6.951060	3.1840919	16601.1528	129.101603	1	2
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	1414	3.7879635	7789.1693	69.064387	19.765892	1982-1999 –> 2000-2009	6.984425	3.1964618	16626.1313	122.970780	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1414	3.8979992	7872.1487	505.855372	20.286916	1982-1999 –> 2000-2009	7.248466	3.3504671	16872.0397	950.854473	3	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + phosphate + phosphate_star	1414	3.9006845	7872.0962	408.219432	20.550912	1982-1999 –> 2000-2009	7.254401	3.3537165	16873.3024	795.291180	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	1414	3.9205830	7888.4859	28.666064	19.709191	1982-1999 –> 2000-2009	7.280327	3.3597443	16897.8335	59.855382	5	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	1414	3.9207128	7886.5795	15.186747	19.655700	1982-1999 –> 2000-2009	7.292003	3.3712900	16905.6598	30.777740	6	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1414	3.9360010	7899.5854	28.281414	19.480529	1982-1999 –> 2000-2009	7.306943	3.3709422	16920.3129	48.517097	7	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1414	3.9392814	7901.9414	94.416395	19.405881	1982-1999 –> 2000-2009	7.314323	3.3750420	16926.8257	162.573668	9	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	1414	3.9376656	7898.7812	11.025310	19.286827	1982-1999 –> 2000-2009	7.326397	3.3887315	16935.5094	20.781705	8	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	1414	3.9409368	7901.1296	79.473542	19.216924	1982-1999 –> 2000-2009	7.335073	3.3941365	16943.3083	146.805634	10	20
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1715	3.2209127	8890.9093	118.883164	18.582708	2000-2009 –> 2010-2019	6.987881	3.7669686	16666.3607	189.549482	1	2
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	1715	3.3223754	8995.2916	117.211383	18.863560	2000-2009 –> 2010-2019	7.110339	3.7879635	16784.4609	186.275769	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1715	3.3372780	9012.6426	800.655793	20.435572	2000-2009 –> 2010-2019	7.235277	3.8979992	16884.7912	1306.511164	3	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + phosphate + phosphate_star	1715	3.3540434	9027.8306	722.835424	20.450713	2000-2009 –> 2010-2019	7.254728	3.9006845	16899.9268	1131.054855	6	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	1715	3.3425553	9018.0622	31.840242	20.227399	2000-2009 –> 2010-2019	7.263138	3.9205830	16906.5482	60.506305	4	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1715	3.3530089	9028.7725	29.376835	20.167977	2000-2009 –> 2010-2019	7.289010	3.9360010	16928.3579	57.658248	5	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1715	3.3559583	9031.7883	145.723876	20.173595	2000-2009 –> 2010-2019	7.295240	3.9392814	16933.7297	240.140271	7	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	1715	3.3921052	9066.5351	25.280150	20.352087	2000-2009 –> 2010-2019	7.312818	3.9207128	16953.1147	40.466897	8	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	1715	3.4213808	9096.0108	23.626048	20.332385	2000-2009 –> 2010-2019	7.359046	3.9376656	16994.7920	34.651358	9	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	1715	3.4249531	9099.5902	132.423508	20.372146	2000-2009 –> 2010-2019	7.365890	3.9409368	17000.7198	211.897051	10	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	784	0.7127621	1705.9589	57.164743	4.381191	1982-1999 –> 2000-2009	1.227008	0.5142460	3139.7859	133.652355	1	2
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	784	0.7186731	1716.9088	51.224713	4.211625	1982-1999 –> 2000-2009	1.246850	0.5281768	3199.1475	127.636829	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	784	0.7538382	1793.8140	202.770163	4.613806	1982-1999 –> 2000-2009	1.310502	0.5566642	3377.1264	490.636856	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	784	0.7576653	1801.7543	39.864947	4.681267	1982-1999 –> 2000-2009	1.314955	0.5572899	3387.1854	87.032413	5	9
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	784	0.7571479	1798.6833	174.252787	4.493512	1982-1999 –> 2000-2009	1.319973	0.5628254	3400.7551	409.205673	4	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	784	0.7599677	1804.5120	35.892117	4.572324	1982-1999 –> 2000-2009	1.322456	0.5624887	3405.4555	83.042173	6	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	784	0.7670968	1821.1525	174.113088	4.753423	1982-1999 –> 2000-2009	1.324968	0.5578708	3408.5482	419.408408	7	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate_star	784	0.7671070	1819.1733	167.104436	4.743583	1982-1999 –> 2000-2009	1.329216	0.5621093	3418.8441	402.485863	8	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + silicate + phosphate_star	784	0.7837829	1852.8943	33.581403	5.239858	1982-1999 –> 2000-2009	1.341654	0.5578708	3438.2902	56.784624	9	15
Atlantic	(28.05,28.1]	2	cstar_tref ~ temp + phosphate_star	784	0.7912661	1865.7939	7.386295	5.801549	1982-1999 –> 2000-2009	1.354513	0.5632467	3467.2771	13.380328	10	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	994	0.8195260	2437.1799	98.662598	2.715109	2000-2009 –> 2010-2019	1.532288	0.7127621	4143.1388	155.827341	1	2
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	994	0.8195316	2435.1933	97.679071	2.716583	2000-2009 –> 2010-2019	1.538205	0.7186731	4152.1022	148.903785	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	994	0.8546808	2520.6797	409.318490	2.781522	2000-2009 –> 2010-2019	1.608519	0.7538382	4314.4936	612.088653	3	6
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	994	0.8550560	2519.5522	335.504571	2.765777	2000-2009 –> 2010-2019	1.612204	0.7571479	4318.2355	509.757358	4	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	994	0.8585070	2529.5597	76.099980	2.840000	2000-2009 –> 2010-2019	1.616172	0.7576653	4331.3140	115.964926	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	994	0.8594769	2529.8043	75.527262	2.818544	2000-2009 –> 2010-2019	1.619445	0.7599677	4334.3163	111.419379	6	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	994	0.8666989	2548.4393	347.709814	2.967009	2000-2009 –> 2010-2019	1.633796	0.7670968	4369.5918	521.822902	7	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate_star	994	0.8740743	2563.2850	330.388336	2.976475	2000-2009 –> 2010-2019	1.641181	0.7671070	4382.4584	497.492771	8	16
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + silicate + phosphate_star	994	0.8801638	2577.0871	45.507861	3.355918	2000-2009 –> 2010-2019	1.663947	0.7837829	4429.9815	79.089264	9	18
Atlantic	(28.05,28.1]	2	cstar_tref ~ temp + phosphate_star	994	0.9097974	2640.9175	9.308829	3.745952	2000-2009 –> 2010-2019	1.701064	0.7912661	4506.7114	16.695123	10	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1240	0.6309085	2388.6933	88.280028	4.344082	1982-1999 –> 2000-2009	1.086507	0.4555989	3891.5610	156.292421	1	2
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	1240	0.6392646	2419.3244	77.073158	4.885442	1982-1999 –> 2000-2009	1.149686	0.5104212	4187.8890	137.405573	2	7
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1240	0.6645827	2517.6497	210.664047	4.427561	1982-1999 –> 2000-2009	1.153754	0.4891708	4188.0261	381.281418	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1240	0.6661121	2523.3501	51.953683	4.577214	1982-1999 –> 2000-2009	1.158421	0.4923090	4208.7927	89.601523	4	7
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1240	0.6675637	2528.7488	172.212953	4.768125	1982-1999 –> 2000-2009	1.165272	0.4977083	4239.8901	312.992048	5	9
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + phosphate_star	1240	0.6700622	2536.0134	172.187503	4.908032	1982-1999 –> 2000-2009	1.196633	0.5265709	4377.9663	312.925021	7	13
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + silicate + phosphate_star	1240	0.6718014	2542.4420	41.900302	5.655457	1982-1999 –> 2000-2009	1.199050	0.5272484	4387.4243	71.893891	9	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + phosphate + phosphate_star	1240	0.6697889	2535.0018	196.708055	4.887353	1982-1999 –> 2000-2009	1.200900	0.5311107	4397.1799	354.147267	6	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate_star	1240	0.6704314	2537.3795	45.625190	4.981835	1982-1999 –> 2000-2009	1.202251	0.5318196	4402.7001	79.202960	8	17
Atlantic	(28.1,28.15]	2	cstar_tref ~ temp + phosphate_star	1240	0.6723653	2542.5230	8.781105	5.571179	1982-1999 –> 2000-2009	1.210716	0.5383502	4434.5986	17.026683	10	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1472	0.7444090	3320.3903	137.544333	3.877021	2000-2009 –> 2010-2019	1.375317	0.6309085	5709.0836	225.824361	1	2
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	1472	0.7444522	3318.5612	135.598036	3.882603	2000-2009 –> 2010-2019	1.383717	0.6392646	5737.8856	212.671195	2	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1472	0.7772838	3447.6150	421.695874	3.837579	2000-2009 –> 2010-2019	1.441866	0.6645827	5965.2647	632.359920	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1472	0.7798454	3457.3012	88.493027	3.901178	2000-2009 –> 2010-2019	1.445958	0.6661121	5980.6513	140.446710	5	9
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + phosphate + phosphate_star	1472	0.7778229	3447.6563	349.843679	3.852825	2000-2009 –> 2010-2019	1.447612	0.6697889	5982.6580	546.551734	4	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1472	0.7822846	3466.4950	331.573749	3.939406	2000-2009 –> 2010-2019	1.449848	0.6675637	5995.2438	503.786701	7	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate_star	1472	0.7810063	3459.6805	87.497699	3.928067	2000-2009 –> 2010-2019	1.451438	0.6704314	5997.0601	133.122889	6	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + phosphate_star	1472	0.7882470	3486.8487	325.210376	4.112393	2000-2009 –> 2010-2019	1.458309	0.6700622	6022.8621	497.397879	8	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + silicate + phosphate_star	1472	0.7889751	3489.5668	56.343050	4.343762	2000-2009 –> 2010-2019	1.460776	0.6718014	6032.0088	98.243352	9	18
Atlantic	(28.1,28.15]	2	cstar_tref ~ temp + phosphate_star	1472	0.8074038	3555.5410	11.120749	5.091555	2000-2009 –> 2010-2019	1.479769	0.6723653	6098.0640	19.901854	10	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2158	0.6535289	4300.2482	920.594117	3.600495	1982-1999 –> 2000-2009	1.151033	0.4975040	7280.4486	1760.930367	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2158	0.6789892	4467.1988	950.294894	3.829513	1982-1999 –> 2000-2009	1.186374	0.5073847	7530.3828	1618.260373	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2158	0.6789927	4465.2214	110.202784	3.832678	1982-1999 –> 2000-2009	1.196071	0.5170782	7604.3373	187.134429	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2158	0.6961616	4572.9981	335.043792	3.876809	1982-1999 –> 2000-2009	1.218276	0.5221140	7752.0248	548.392069	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2158	0.7059201	4633.0776	343.272815	3.897649	1982-1999 –> 2000-2009	1.237374	0.5314540	7885.1199	563.811322	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2158	0.7266071	4757.7405	529.119540	4.019614	1982-1999 –> 2000-2009	1.273667	0.5470604	8128.9681	872.203129	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2158	0.8239486	5300.3578	133.632632	5.093919	1982-1999 –> 2000-2009	1.532584	0.7086357	9737.2512	266.412283	8	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	2158	0.8011179	5177.0779	102.454917	3.254572	1982-1999 –> 2000-2009	1.535691	0.7345729	9760.0038	179.016747	7	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2158	0.9193982	5773.4394	703.036588	10.323128	1982-1999 –> 2000-2009	1.656410	0.7370116	10372.0137	1098.625884	13	22
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	2158	0.8862237	5614.8268	144.333816	4.705246	1982-1999 –> 2000-2009	1.674033	0.7878096	10487.8777	261.925627	9	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2865	0.6590479	5753.3423	157.390313	2.965231	2000-2009 –> 2010-2019	1.338041	0.6789927	10218.5636	267.593096	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2865	0.6830023	5957.9146	312.082038	3.180626	2000-2009 –> 2010-2019	1.379164	0.6961616	10530.9127	647.125830	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2865	0.6908765	6023.5968	319.435060	3.206227	2000-2009 –> 2010-2019	1.396796	0.7059201	10656.6744	662.707875	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2865	0.7073940	6158.9785	612.590586	3.303374	2000-2009 –> 2010-2019	1.434001	0.7266071	10916.7190	1141.710126	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	2865	0.7944870	6822.2815	157.306268	2.917600	2000-2009 –> 2010-2019	1.595605	0.8011179	11999.3595	259.761185	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2865	0.8046401	6897.0440	235.118007	3.329872	2000-2009 –> 2010-2019	1.628589	0.8239486	12197.4018	368.750639	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2865	0.8277242	7059.1162	782.676345	2.721839	2000-2009 –> 2010-2019	1.747122	0.9193982	12832.5557	1485.712933	7	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	2865	0.8834720	7432.5956	216.545160	3.798562	2000-2009 –> 2010-2019	1.769696	0.8862237	13047.4224	360.878975	9	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	2865	0.8716758	7353.5724	120.246585	3.040036	2000-2009 –> 2010-2019	1.775911	0.9042351	13053.2372	209.763468	8	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2865	0.8944577	7503.4072	297.980543	3.871768	2000-2009 –> 2010-2019	1.795742	0.9012838	13190.9619	462.605491	10	18
Atlantic	(28.2, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2645	0.9434209	7212.0806	866.257043	10.314817	1982-1999 –> 2000-2009	1.622934	0.6795135	14340.4211	1768.752920	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	2645	0.9463425	7226.4377	12.049698	9.831819	1982-1999 –> 2000-2009	1.627679	0.6813363	14371.2366	27.553141	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2645	0.9690722	7351.9931	111.717454	12.080194	1982-1999 –> 2000-2009	1.674156	0.7050837	14732.8468	279.561751	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2645	1.0736517	7894.1220	166.749256	6.378123	1982-1999 –> 2000-2009	1.784951	0.7112996	15335.4502	415.573339	9	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2645	0.9911295	7471.0505	32.839275	8.615856	1982-1999 –> 2000-2009	1.800256	0.8091270	15800.2392	78.959004	4	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2645	1.0857786	7953.5379	119.287927	6.493947	1982-1999 –> 2000-2009	1.805258	0.7194798	15473.6515	204.339066	10	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2645	1.0954262	8000.3340	189.265428	6.557361	1982-1999 –> 2000-2009	1.829701	0.7342747	15660.6920	312.690051	11	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2645	1.1064659	8053.3799	125.933297	6.573512	1982-1999 –> 2000-2009	1.833343	0.7268772	15643.9725	212.618293	13	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2645	1.0203522	7624.7672	138.470111	7.564416	1982-1999 –> 2000-2009	1.856006	0.8356542	16176.2203	377.276049	5	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + silicate + phosphate	2645	1.0273746	7661.0499	14.646309	7.719819	1982-1999 –> 2000-2009	1.868797	0.8414223	16259.8980	36.191876	6	16
Atlantic	(28.2, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4656	0.6957848	9849.5552	740.898442	5.450796	2000-2009 –> 2010-2019	1.639206	0.9434209	17061.6357	1607.155486	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4656	0.7076127	10004.5228	588.389930	5.059234	2000-2009 –> 2010-2019	1.676685	0.9690722	17356.5159	700.107384	2	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	4656	0.7571064	10634.0780	128.568729	5.900799	2000-2009 –> 2010-2019	1.703449	0.9463425	17860.5157	140.618427	3	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4656	0.8413321	11616.3326	183.495366	8.276987	2000-2009 –> 2010-2019	1.832462	0.9911295	19087.3832	216.334641	6	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + silicate + phosphate	4656	0.8998179	12242.1543	155.344211	8.190348	2000-2009 –> 2010-2019	1.927193	1.0273746	19903.2042	169.990521	10	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4656	0.9025056	12269.9268	203.376418	8.323099	2000-2009 –> 2010-2019	1.935451	1.0329454	19959.5835	240.177573	12	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	4656	0.9049437	12295.0489	121.205136	8.343257	2000-2009 –> 2010-2019	1.941376	1.0364321	20002.5318	132.534301	14	21
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4656	0.9775651	13013.8628	499.981500	7.114866	2000-2009 –> 2010-2019	2.051217	1.0736517	20907.9848	666.730756	18	26
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4656	0.9885260	13117.6922	325.383092	7.228576	2000-2009 –> 2010-2019	2.074305	1.0857786	21071.2300	444.671019	20	29
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	4656	0.9815223	13049.4819	366.452043	6.885398	2000-2009 –> 2010-2019	2.078343	1.0968210	21054.5476	483.004467	19	30
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2477	7.3517019	16926.3138	18.627865	29.477207	1982-1999 –> 2000-2009	15.307793	7.9560909	26147.5358	33.822552	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2477	7.4430335	16987.4791	15.086043	24.923835	1982-1999 –> 2000-2009	15.610601	8.1675672	26277.8521	27.315868	2	5
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2477	7.8142248	17226.5768	9.422179	26.010643	1982-1999 –> 2000-2009	15.846403	8.0321783	26470.8881	15.413932	4	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2477	7.8342191	17239.2365	7.189739	26.447963	1982-1999 –> 2000-2009	16.031158	8.1969386	26537.0717	12.397116	5	9
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2477	7.5472998	17056.3961	24.481811	25.351038	1982-1999 –> 2000-2009	16.167470	8.6201704	26488.9384	53.156104	3	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate	2477	7.9143630	17289.6583	18.473001	27.283995	1982-1999 –> 2000-2009	16.561387	8.6470242	26728.3996	42.312882	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2477	8.4830657	17633.4297	7.863231	27.977711	1982-1999 –> 2000-2009	17.847932	9.3648660	27282.3915	13.286843	13	20
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2477	8.1768198	17451.2780	17.004633	39.827537	1982-1999 –> 2000-2009	18.337533	10.1607129	27315.2414	31.219442	8	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2477	8.1792274	17454.7365	86.579611	29.799339	1982-1999 –> 2000-2009	18.350855	10.1716272	27323.5298	188.867963	9	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2477	8.3596567	17560.8311	86.111136	29.479496	1982-1999 –> 2000-2009	18.539427	10.1797699	27429.7338	188.370136	11	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3664	6.3694780	23979.9019	23.738353	37.146285	2000-2009 –> 2010-2019	13.721180	7.3517019	40906.2157	42.366219	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3664	6.3737611	23984.8279	15.978671	33.675614	2000-2009 –> 2010-2019	13.816795	7.4430335	40972.3070	31.064714	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3664	6.3954219	24009.6895	31.965715	31.603648	2000-2009 –> 2010-2019	13.942722	7.5472998	41066.0855	56.447526	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3664	6.5998064	24238.2130	9.186582	32.743353	2000-2009 –> 2010-2019	14.434026	7.8342191	41477.4495	16.376320	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3664	6.6333409	24275.3532	9.752930	32.070286	2000-2009 –> 2010-2019	14.447566	7.8142248	41501.9300	19.175109	6	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate	3664	6.5731714	24208.5794	27.209438	33.751107	2000-2009 –> 2010-2019	14.487534	7.9143630	41498.2377	45.682439	4	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3664	6.6343955	24278.5182	108.624555	34.956239	2000-2009 –> 2010-2019	14.813623	8.1792274	41733.2547	195.204167	7	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3664	6.7691828	24423.9049	20.006152	42.970194	2000-2009 –> 2010-2019	14.946003	8.1768198	41875.1830	37.010785	9	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	3664	6.7854010	24441.4410	14.342754	51.367006	2000-2009 –> 2010-2019	14.948000	8.1625989	41884.0957	26.179165	10	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3664	6.6839856	24331.0891	107.277689	36.123137	2000-2009 –> 2010-2019	15.043642	8.3596567	41891.9202	193.388825	8	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2494	4.3376952	14410.7730	61.033963	14.333675	1982-1999 –> 2000-2009	8.126884	3.7891890	25951.8425	114.670403	3	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2494	4.3049220	14372.9433	20.212130	15.275952	1982-1999 –> 2000-2009	8.150499	3.8455767	25975.9056	31.174847	1	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2494	4.3109241	14379.8930	29.362332	15.450560	1982-1999 –> 2000-2009	8.184907	3.8739827	26013.6917	45.449399	2	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2494	4.5751783	14676.6461	306.546395	14.161297	1982-1999 –> 2000-2009	8.442789	3.8676106	26303.5471	664.152787	4	7
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	2494	4.7118578	14821.4758	60.678399	17.272699	1982-1999 –> 2000-2009	9.063961	4.3521033	26940.8905	109.124051	5	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2494	4.8088697	14923.1302	305.807408	14.567505	1982-1999 –> 2000-2009	9.124880	4.3160106	27007.6516	593.908118	8	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2494	4.9172206	15034.2697	60.780039	14.987412	1982-1999 –> 2000-2009	9.136451	4.2192304	27023.7672	112.288071	9	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2494	4.7624907	14874.7901	20.182720	18.193155	1982-1999 –> 2000-2009	9.204247	4.4417561	27079.6413	29.963404	6	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2494	4.9391935	15056.5093	20.173059	15.817012	1982-1999 –> 2000-2009	9.208568	4.2693741	27095.5094	30.419767	10	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2494	4.7791658	14892.2242	27.941311	18.259551	1982-1999 –> 2000-2009	9.242268	4.4631018	27117.1630	39.729003	7	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2876	3.9040092	16009.9816	16.067835	16.349626	2000-2009 –> 2010-2019	8.208931	4.3049220	30382.9250	36.279965	2	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2876	3.8772788	15970.4627	65.889192	15.296952	2000-2009 –> 2010-2019	8.214974	4.3376952	30381.2357	126.923156	1	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2876	3.9287952	16046.3848	21.671575	16.698913	2000-2009 –> 2010-2019	8.239719	4.3109241	30426.2779	51.033907	3	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2876	4.0487940	16219.4409	344.920631	29.487785	2000-2009 –> 2010-2019	8.623972	4.5751783	30896.0870	651.467026	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	2876	4.0600988	16233.4789	64.775732	16.824508	2000-2009 –> 2010-2019	8.771957	4.7118578	31054.9547	125.454131	5	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2876	4.1183674	16315.4420	15.681990	17.278032	2000-2009 –> 2010-2019	8.880858	4.7624907	31190.2321	35.864711	6	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2876	4.1423522	16348.8437	18.105893	17.509460	2000-2009 –> 2010-2019	8.921518	4.7791658	31241.0680	46.047204	7	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2876	4.1517066	16361.8185	329.339363	24.879972	2000-2009 –> 2010-2019	8.960576	4.8088697	31284.9487	635.146771	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2876	4.9865122	17415.6840	57.964259	16.318223	2000-2009 –> 2010-2019	9.903733	4.9172206	32449.9537	118.744298	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2876	5.0687952	17509.8238	14.290006	17.633563	2000-2009 –> 2010-2019	10.007989	4.9391935	32566.3331	34.463065	11	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2214	4.2344414	12687.7772	739.877204	23.083233	1982-1999 –> 2000-2009	7.132782	2.8983406	22097.7402	1552.659682	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2214	4.2959101	12751.5935	128.751474	24.885874	1982-1999 –> 2000-2009	7.262493	2.9665833	22249.6196	243.313319	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2214	4.3850371	12842.5210	28.747127	25.670379	1982-1999 –> 2000-2009	7.446938	3.0619006	22460.2159	49.879400	3	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2214	4.4019401	12859.5568	43.134713	25.708428	1982-1999 –> 2000-2009	7.481322	3.0793817	22498.7941	75.062868	4	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2214	4.6390976	13089.9138	730.645232	23.137229	1982-1999 –> 2000-2009	7.695071	3.0559731	22698.2763	1531.309094	6	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2214	4.7281875	13174.1435	127.326604	24.521620	1982-1999 –> 2000-2009	7.819210	3.0910227	22825.6585	241.668759	8	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2214	4.5574311	13011.2692	652.016956	18.083260	1982-1999 –> 2000-2009	7.901547	3.3441156	22960.5859	1229.800304	5	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2214	4.8390845	13276.8006	28.497117	25.227788	1982-1999 –> 2000-2009	8.006492	3.1674075	23020.6884	49.473400	11	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2214	4.8525560	13289.1105	43.117512	25.189638	1982-1999 –> 2000-2009	8.031987	3.1794310	23047.3352	74.920688	12	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2214	4.6743165	13123.4031	121.100791	18.813309	1982-1999 –> 2000-2009	8.128141	3.4538243	23194.8669	201.715311	7	17
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2637	3.2801072	13762.3404	613.062771	15.587029	2000-2009 –> 2010-2019	7.514549	4.2344414	26450.1176	1352.939975	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2637	3.3460282	13867.2821	106.609564	15.907383	2000-2009 –> 2010-2019	7.641938	4.2959101	26618.8756	235.361038	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2637	3.4960990	14098.6722	24.763949	15.694073	2000-2009 –> 2010-2019	7.881136	4.3850371	26941.1932	53.511076	5	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2637	3.3519558	13874.6168	514.534928	15.987770	2000-2009 –> 2010-2019	7.909387	4.5574311	26885.8860	1166.551884	3	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2637	3.5287930	14147.7632	34.778090	15.736950	2000-2009 –> 2010-2019	7.930733	4.4019401	27007.3200	77.912803	6	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2637	3.4295311	13995.2837	94.212650	16.100432	2000-2009 –> 2010-2019	8.103848	4.6743165	27118.6868	215.313441	4	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2637	3.5700512	14207.0683	21.833311	16.689878	2000-2009 –> 2010-2019	8.360774	4.7907228	27439.3929	48.557274	7	16
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2637	3.5941549	14242.5569	26.284250	16.752195	2000-2009 –> 2010-2019	8.393831	4.7996764	27483.1495	61.946503	8	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2637	4.3163952	15208.2882	584.314783	19.900135	2000-2009 –> 2010-2019	8.955493	4.6390976	28298.2019	1314.960015	11	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2637	4.0971016	14933.2974	19.832209	15.940670	2000-2009 –> 2010-2019	8.995163	4.8980615	28263.7386	40.911457	9	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3284	3.9435837	18345.4747	788.936122	17.442726	1982-1999 –> 2000-2009	6.859834	2.9162506	30367.5553	1464.237585	3	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3284	3.9485647	18351.7652	753.562333	17.245770	1982-1999 –> 2000-2009	6.883264	2.9346996	30402.2677	1386.549931	4	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3284	3.9180082	18302.7401	144.391767	19.219001	1982-1999 –> 2000-2009	6.933009	3.0150011	30485.4670	259.719086	1	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3284	3.9426892	18341.9846	143.374890	18.868844	1982-1999 –> 2000-2009	6.986793	3.0441041	30569.0530	254.319070	2	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3284	3.9912509	18424.3879	34.270058	20.815492	1982-1999 –> 2000-2009	7.166300	3.1750494	30856.6264	61.426863	5	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3284	3.9961228	18432.4003	54.958656	20.803709	1982-1999 –> 2000-2009	7.187999	3.1918757	30890.1363	97.563730	6	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3284	4.0339225	18492.2355	32.684625	20.288499	1982-1999 –> 2000-2009	7.247321	3.2133984	30980.3904	57.526186	8	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3284	4.0364587	18496.3637	51.266130	20.240108	1982-1999 –> 2000-2009	7.262251	3.2257918	31003.0880	91.955134	9	17
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3284	4.0295230	18485.0684	21.395567	19.582873	1982-1999 –> 2000-2009	7.349139	3.3196164	31130.1007	37.358973	7	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + nitrate + phosphate_star	3284	4.0447952	18507.9145	19.761900	19.680027	1982-1999 –> 2000-2009	7.365155	3.3203594	31152.0264	31.991421	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3287	3.1618226	16909.7530	121.394702	20.294726	2000-2009 –> 2010-2019	7.079831	3.9180082	35212.4931	265.786469	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3287	3.2116866	17007.4488	671.573818	17.432679	2000-2009 –> 2010-2019	7.155270	3.9435837	35352.9234	1460.509940	2	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3287	3.2391764	17063.4612	29.138972	21.558707	2000-2009 –> 2010-2019	7.230427	3.9912509	35487.8492	63.409030	3	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3287	3.2527765	17090.9968	42.093262	21.628607	2000-2009 –> 2010-2019	7.248899	3.9961228	35523.3971	97.051919	4	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3287	3.6981086	17932.2669	671.573044	19.654847	2000-2009 –> 2010-2019	7.646673	3.9485647	36284.0321	1425.135377	7	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3287	3.6487263	17843.9172	16.485048	16.715291	2000-2009 –> 2010-2019	7.678249	4.0295230	36328.9856	37.880615	5	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3287	3.7780139	18078.2525	119.878943	22.262712	2000-2009 –> 2010-2019	7.720703	3.9426892	36420.2371	263.253833	9	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3287	3.9335323	18337.8666	28.977512	23.465145	2000-2009 –> 2010-2019	7.967455	4.0339225	36830.1021	61.662138	13	21
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3287	3.9462229	18359.0355	42.076475	23.408081	2000-2009 –> 2010-2019	7.982682	4.0364587	36855.3992	93.342605	14	23
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3287	3.6511728	17848.3222	511.340552	13.163843	2000-2009 –> 2010-2019	8.096369	4.4451962	36978.2106	1205.455352	6	17
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4225	3.0402858	21400.0209	736.519200	8.888658	1982-1999 –> 2000-2009	5.532954	2.4926679	34460.8629	1428.736558	1	2
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4225	3.1509402	21702.1030	129.899271	9.407501	1982-1999 –> 2000-2009	5.646791	2.4958509	34770.0838	246.867162	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4225	3.2328952	21917.0754	697.845602	10.164123	1982-1999 –> 2000-2009	5.794795	2.5618994	35129.1671	1243.418598	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4225	3.2767993	22031.0578	126.340485	9.560213	1982-1999 –> 2000-2009	5.802149	2.5253496	35162.7670	223.997797	6	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4225	3.2704670	22016.7126	23.178608	9.837461	1982-1999 –> 2000-2009	5.852215	2.5817482	35273.9778	48.124178	4	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4225	3.2736083	22024.8249	34.985778	9.859601	1982-1999 –> 2000-2009	5.866485	2.5928773	35306.1523	69.978734	5	11
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4225	3.3578161	22237.4379	21.375841	10.058643	1982-1999 –> 2000-2009	5.952641	2.5948252	35520.9662	39.949795	8	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4225	3.3636910	22252.2093	32.383656	10.104983	1982-1999 –> 2000-2009	5.970224	2.6065324	35560.9196	60.365308	9	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4225	3.2863936	22055.7627	16.955871	9.967732	1982-1999 –> 2000-2009	6.063195	2.7768019	35718.4564	31.769368	7	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	4225	3.4969660	22578.5495	15.473534	10.562432	1982-1999 –> 2000-2009	6.547097	3.0501313	36764.4347	29.899215	10	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4366	2.6252610	20832.1257	803.280982	9.640453	2000-2009 –> 2010-2019	5.665547	3.0402858	42232.1466	1539.800182	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4366	2.6448846	20895.1540	777.681003	10.026498	2000-2009 –> 2010-2019	5.877780	3.2328952	42812.2294	1475.526605	2	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4366	2.7406905	21207.8601	137.917613	10.354531	2000-2009 –> 2010-2019	5.891631	3.1509402	42909.9631	267.816884	3	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4366	2.7417449	21209.2188	134.311193	10.452652	2000-2009 –> 2010-2019	6.018544	3.2767993	43240.2766	260.651678	4	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4366	2.8580259	21573.9163	23.533272	10.853749	2000-2009 –> 2010-2019	6.128493	3.2704670	43590.6289	46.711880	5	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4366	2.8654888	21596.6877	32.863194	10.872440	2000-2009 –> 2010-2019	6.139097	3.2736083	43621.5127	67.848971	7	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4366	2.8594598	21576.2964	22.087467	10.673556	2000-2009 –> 2010-2019	6.217276	3.3578161	43813.7343	43.463308	6	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4366	2.8667334	21598.4797	31.521711	10.700185	2000-2009 –> 2010-2019	6.230424	3.3636910	43850.6890	63.905366	8	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4366	2.9756099	21923.9722	14.440810	9.500578	2000-2009 –> 2010-2019	6.262003	3.2863936	43979.7349	31.396681	9	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	4366	3.0093964	22020.5608	12.040966	10.141449	2000-2009 –> 2010-2019	6.506362	3.4969660	44599.1104	27.514501	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5451	3.1245792	27903.9123	305.949320	9.900644	1982-1999 –> 2000-2009	5.430989	2.3064103	46193.9502	755.106089	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5451	3.2422423	28304.9107	200.510436	12.021629	1982-1999 –> 2000-2009	5.589008	2.3467659	46733.5537	388.746226	5	7
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5451	3.2136851	28210.4620	55.801538	10.229971	1982-1999 –> 2000-2009	5.600263	2.3865775	46777.4655	131.645771	2	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5451	3.2149806	28214.8561	70.023836	10.154962	1982-1999 –> 2000-2009	5.606399	2.3914179	46798.2835	162.177216	3	7
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5451	3.2162891	28217.2922	19.097271	9.956404	1982-1999 –> 2000-2009	5.625709	2.4094195	46859.5096	32.605175	4	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5451	3.3292726	28593.6904	25.532310	12.387320	1982-1999 –> 2000-2009	5.758061	2.4287886	47300.8107	44.411729	6	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5451	3.3382190	28622.9466	25.832722	12.421047	1982-1999 –> 2000-2009	5.777741	2.4395222	47365.8110	47.783355	7	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	5451	3.6162213	29493.0218	11.404090	12.366226	1982-1999 –> 2000-2009	6.488366	2.8721447	49557.2460	20.876344	8	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	5451	3.8554133	30193.2795	217.907359	12.166760	1982-1999 –> 2000-2009	6.652145	2.7967315	50043.8222	504.173084	9	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	5451	3.9330558	30410.6486	55.048996	12.273499	1982-1999 –> 2000-2009	6.796514	2.8634580	50452.3193	111.925753	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5661	3.0308734	28633.6311	304.051977	13.620472	2000-2009 –> 2010-2019	6.155453	3.1245792	56537.5434	610.001297	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5661	3.1073847	28915.8957	47.507120	14.000843	2000-2009 –> 2010-2019	6.321070	3.2136851	57126.3577	103.308659	3	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5661	3.1072471	28915.3942	52.081790	13.905443	2000-2009 –> 2010-2019	6.322228	3.2149806	57130.2503	122.105626	2	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5661	3.1073849	28913.8961	14.858323	13.998051	2000-2009 –> 2010-2019	6.323674	3.2162891	57131.1883	33.955594	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5661	3.1262314	28982.3577	212.710446	16.271157	2000-2009 –> 2010-2019	6.368474	3.2422423	57287.2684	413.220883	5	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5661	3.2012060	29250.6819	18.463343	16.691413	2000-2009 –> 2010-2019	6.530479	3.3292726	57844.3723	43.995653	6	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5661	3.2069061	29270.8239	20.992811	16.716607	2000-2009 –> 2010-2019	6.545125	3.3382190	57893.7705	46.825534	7	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	5661	3.3988155	29926.8624	10.562994	16.261995	2000-2009 –> 2010-2019	7.015037	3.6162213	59419.8843	21.967084	8	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	5661	3.7731226	31111.7390	188.630747	14.189985	2000-2009 –> 2010-2019	7.628536	3.8554133	61305.0184	406.538106	10	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	5661	3.8325723	31288.7389	47.587639	14.115298	2000-2009 –> 2010-2019	7.765628	3.9330558	61699.3876	102.636635	11	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6462	3.6177898	34970.8587	604.282490	10.061796	1982-1999 –> 2000-2009	6.115680	2.4978907	55471.4233	1310.307325	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6462	3.6503218	35086.5549	100.401492	10.029364	1982-1999 –> 2000-2009	6.198688	2.5483665	55762.6913	204.551748	2	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6462	3.6549050	35102.7716	95.311308	10.062781	1982-1999 –> 2000-2009	6.199777	2.5448718	55766.8647	196.149316	3	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6462	3.6706329	35156.2673	30.603551	10.664089	1982-1999 –> 2000-2009	6.226263	2.5556306	55855.3840	51.613501	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6462	3.6735773	35166.6299	114.038207	9.721638	1982-1999 –> 2000-2009	6.276945	2.6033681	56028.1641	185.349684	5	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6462	3.7141609	35308.6242	42.661566	9.666572	1982-1999 –> 2000-2009	6.387933	2.6737721	56404.3391	70.796360	6	14
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6462	3.7532485	35443.9248	45.533045	9.645420	1982-1999 –> 2000-2009	6.458471	2.7052229	56642.2670	75.228466	7	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6462	3.8668602	35829.3331	468.363917	13.361675	1982-1999 –> 2000-2009	6.475904	2.6090434	56709.9782	868.181111	16	22
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	6462	3.7881115	35563.4188	433.556089	10.896477	1982-1999 –> 2000-2009	6.484572	2.6964603	56733.2880	952.578588	9	19
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + silicate + phosphate	6462	3.7903854	35569.1743	114.032039	10.771241	1982-1999 –> 2000-2009	6.502279	2.7118937	56787.1305	184.351952	10	22
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6267	3.5432806	33655.1502	714.541367	16.755998	2000-2009 –> 2010-2019	7.161070	3.6177898	68626.0089	1318.823857	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6267	3.5920956	33826.6495	100.073800	16.596034	2000-2009 –> 2010-2019	7.242417	3.6503218	68913.2044	200.475291	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6267	3.5901667	33819.9173	92.696521	16.746747	2000-2009 –> 2010-2019	7.245072	3.6549050	68922.6890	188.007828	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6267	3.5947952	33834.0658	19.251879	16.084271	2000-2009 –> 2010-2019	7.265428	3.6706329	68990.3331	49.855431	5	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6267	3.7163862	34251.0061	115.850484	12.992544	2000-2009 –> 2010-2019	7.389964	3.6735773	69417.6360	229.888691	8	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6267	3.5837751	33795.5830	480.686306	18.782607	2000-2009 –> 2010-2019	7.450635	3.8668602	69624.9161	949.050223	2	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6267	3.7760609	34450.6680	36.815430	12.726244	2000-2009 –> 2010-2019	7.490222	3.7141609	69759.2922	79.476996	9	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6267	3.6321479	33963.6318	26.890543	18.844877	2000-2009 –> 2010-2019	7.540590	3.9084421	69931.2001	74.671959	6	23
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	6267	3.6394105	33988.6690	27.137103	18.846347	2000-2009 –> 2010-2019	7.555369	3.9159588	69981.0687	75.640526	7	25
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6267	3.8252263	34612.8109	39.889124	12.543124	2000-2009 –> 2010-2019	7.578475	3.7532485	70056.7356	85.422169	14	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2447	2.4007527	11244.3638	697.410140	9.882209	1982-1999 –> 2000-2009	4.351033	1.9502800	18512.4681	1437.744936	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2447	2.4090297	11261.2076	162.792821	9.805000	1982-1999 –> 2000-2009	4.371758	1.9627280	18551.4276	318.216012	3	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2447	2.4029191	11246.7781	615.836519	10.087445	1982-1999 –> 2000-2009	4.380290	1.9773709	18560.8346	1175.224723	2	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2447	2.4142025	11271.7051	165.201132	9.779394	1982-1999 –> 2000-2009	4.385521	1.9713184	18577.1056	317.672394	5	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2447	2.4112300	11263.6757	129.096961	10.014042	1982-1999 –> 2000-2009	4.401504	1.9902743	18600.3412	242.420632	4	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2447	2.4166786	11274.7219	130.558856	10.002134	1982-1999 –> 2000-2009	4.416432	1.9997533	18627.9031	240.865732	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2447	2.4859355	11413.0017	156.731701	8.101945	1982-1999 –> 2000-2009	4.537849	2.0519130	18855.6854	299.566446	13	20
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	2447	2.4545115	11350.7435	603.524261	9.956650	1982-1999 –> 2000-2009	4.539627	2.0851154	18849.2229	1274.901573	7	15
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	2447	2.4549909	11349.6993	450.233409	9.856792	1982-1999 –> 2000-2009	4.547517	2.0925263	18858.5110	880.445232	8	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2447	2.4623794	11366.4062	79.655822	9.879602	1982-1999 –> 2000-2009	4.561682	2.0993030	18888.4569	154.271122	9	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2436	2.4732955	11338.9153	927.267700	16.103465	2000-2009 –> 2010-2019	4.874048	2.4007527	22583.2792	1624.677840	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2436	2.4948315	11381.1542	164.587243	16.024445	2000-2009 –> 2010-2019	4.903861	2.4090297	22642.3619	327.380064	2	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2436	2.5082441	11407.2767	167.921126	16.012277	2000-2009 –> 2010-2019	4.922447	2.4142025	22678.9818	333.122259	3	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2436	2.5470732	11480.1202	736.104515	14.794377	2000-2009 –> 2010-2019	4.949992	2.4029191	22726.8984	1351.941034	4	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2436	2.5676510	11519.3230	115.126506	14.689863	2000-2009 –> 2010-2019	4.978881	2.4112300	22782.9987	244.223467	5	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2436	2.5788380	11540.5036	116.560319	14.682956	2000-2009 –> 2010-2019	4.995516	2.4166786	22815.2256	247.119175	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	2436	2.5949171	11570.7864	797.378142	16.153944	2000-2009 –> 2010-2019	5.049429	2.4545115	22921.5299	1400.902403	7	14
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2436	2.6146414	11607.6791	83.465192	16.065543	2000-2009 –> 2010-2019	5.077021	2.4623794	22974.0853	163.121014	8	17
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2436	2.6222094	11621.7606	85.040037	16.035674	2000-2009 –> 2010-2019	5.086774	2.4645650	22992.5087	165.912728	9	20
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	2436	2.7117626	11783.3701	524.072470	14.433628	2000-2009 –> 2010-2019	5.166754	2.4549909	23133.0694	974.305879	10	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2955	2.1071462	12804.8539	707.844940	10.372336	1982-1999 –> 2000-2009	3.823171	1.7160246	20415.6576	1453.273551	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2955	2.1067298	12803.6857	290.313141	10.385761	1982-1999 –> 2000-2009	3.826085	1.7193549	20422.0081	522.724786	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2955	2.1067442	12803.7261	297.835066	10.384964	1982-1999 –> 2000-2009	3.829858	1.7231143	20430.5187	539.152114	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2955	2.1334651	12876.2144	269.780700	11.238558	1982-1999 –> 2000-2009	3.883901	1.7504364	20562.0149	490.735314	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2955	2.1315326	12870.8586	286.005457	11.209805	1982-1999 –> 2000-2009	3.884201	1.7526687	20561.6016	514.117633	4	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2955	2.1360232	12883.2963	649.101962	11.221991	1982-1999 –> 2000-2009	3.884540	1.7485165	20564.8410	1265.389555	6	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	2955	2.1584007	12944.8888	263.590063	8.160611	1982-1999 –> 2000-2009	3.927180	1.7687792	20671.1154	489.678304	7	14
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	2955	2.1878205	13024.9002	690.183506	10.706845	1982-1999 –> 2000-2009	3.985323	1.7975025	20813.5961	1433.716702	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2955	2.1899105	13030.5433	68.617501	10.689939	1982-1999 –> 2000-2009	3.996905	1.8069950	20839.6648	139.779025	9	19
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2955	2.1904503	13031.9999	72.033552	10.681392	1982-1999 –> 2000-2009	3.999787	1.8093366	20846.1435	144.264265	10	21
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2992	1.9940290	12634.8288	275.076048	14.709181	2000-2009 –> 2010-2019	4.100759	2.1067298	25438.5145	565.389189	2	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2992	1.9940219	12634.8075	827.319708	14.683976	2000-2009 –> 2010-2019	4.101168	2.1071462	25439.6614	1535.164648	1	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2992	1.9946466	12636.6821	278.612363	14.728773	2000-2009 –> 2010-2019	4.101391	2.1067442	25440.4081	576.447429	3	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2992	2.0077437	12673.8453	790.711399	14.258723	2000-2009 –> 2010-2019	4.143767	2.1360232	25557.1415	1439.813362	4	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2992	2.0103067	12681.4793	260.772710	14.207254	2000-2009 –> 2010-2019	4.143772	2.1334651	25557.6937	530.553410	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2992	2.0137439	12691.7021	265.720343	14.178890	2000-2009 –> 2010-2019	4.145277	2.1315326	25562.5607	551.725800	6	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	2992	2.0801527	12885.8570	256.711760	12.256412	2000-2009 –> 2010-2019	4.238553	2.1584007	25830.7458	520.301823	9	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	2992	2.0767784	12876.1422	801.758070	14.907051	2000-2009 –> 2010-2019	4.264599	2.1878205	25901.0425	1491.941576	7	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2992	2.0795546	12884.1360	64.900016	14.914950	2000-2009 –> 2010-2019	4.269465	2.1899105	25914.6793	133.517517	8	17
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2992	2.0808575	12887.8842	65.750586	14.918477	2000-2009 –> 2010-2019	4.271308	2.1904503	25919.8841	137.784137	10	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	3273	1.8359108	13277.3330	618.029872	11.740654	1982-1999 –> 2000-2009	3.447490	1.6115798	22057.1466	1233.888308	1	2
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	3273	1.8359533	13275.4845	566.815262	11.766211	1982-1999 –> 2000-2009	3.456958	1.6210048	22080.2621	1058.980872	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3273	1.8413224	13298.6000	719.900284	11.496392	1982-1999 –> 2000-2009	3.465229	1.6239062	22115.6463	960.408510	3	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3273	1.8454129	13313.1257	801.124527	11.450851	1982-1999 –> 2000-2009	3.472866	1.6274526	22140.2593	1064.971302	5	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3273	1.8471880	13317.4194	75.649095	11.587414	1982-1999 –> 2000-2009	3.472909	1.6257205	22137.6292	153.107743	7	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3273	1.8413431	13296.6734	698.358820	11.516094	1982-1999 –> 2000-2009	3.473543	1.6321997	22135.2751	904.279330	4	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3273	1.8504590	13329.0008	80.065284	11.542202	1982-1999 –> 2000-2009	3.479317	1.6288575	22158.1245	163.402924	9	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	3273	1.8472660	13315.6959	18.878953	11.550321	1982-1999 –> 2000-2009	3.480123	1.6328573	22154.1602	36.701500	8	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3273	1.8454148	13311.1324	777.952524	11.456788	1982-1999 –> 2000-2009	3.481155	1.6357398	22159.7522	1001.518720	6	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	3273	1.8505328	13327.2619	20.422560	11.506235	1982-1999 –> 2000-2009	3.486760	1.6362272	22175.2596	39.932063	10	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	4401	1.8753671	18036.2338	673.856905	7.959776	2000-2009 –> 2010-2019	3.711278	1.8359108	31313.5668	1291.886777	3	4
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	4401	1.8846918	18077.8904	662.292033	7.706141	2000-2009 –> 2010-2019	3.720645	1.8359533	31353.3749	1229.107295	6	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	4401	1.8765381	18041.7279	102.791279	7.907882	2000-2009 –> 2010-2019	3.723726	1.8471880	31359.1474	178.440374	4	7
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4401	1.8777833	18047.5664	99.799643	7.869163	2000-2009 –> 2010-2019	3.728242	1.8504590	31376.5673	179.864926	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	4401	1.8871229	18089.2369	28.601273	7.630935	2000-2009 –> 2010-2019	3.734389	1.8472660	31404.9328	47.480226	7	11
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	4401	1.8887025	18096.6015	30.788534	7.587484	2000-2009 –> 2010-2019	3.739235	1.8505328	31423.8635	51.211093	8	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4401	1.9189133	18238.2802	103.266518	7.433021	2000-2009 –> 2010-2019	3.801096	1.8821825	31678.5517	179.941985	11	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	4401	1.9217764	18249.4030	29.621122	7.336185	2000-2009 –> 2010-2019	3.805136	1.8833595	31691.7668	49.414608	12	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	4401	1.8548032	17939.1842	511.169370	8.264007	2000-2009 –> 2010-2019	3.817044	1.9622410	31652.1306	916.760168	1	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	4401	1.8574480	17949.7264	508.879009	8.157588	2000-2009 –> 2010-2019	3.821402	1.9639543	31666.3858	880.695182	2	12
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1902	1.3674171	6602.0038	883.130864	6.278698	1982-1999 –> 2000-2009	2.464291	1.0968738	10999.0714	1572.669977	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1902	1.3771349	6626.9418	555.481924	6.465368	1982-1999 –> 2000-2009	2.490362	1.1132272	11064.9268	1183.588703	2	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1902	1.3843196	6648.7363	886.671194	6.364748	1982-1999 –> 2000-2009	2.494788	1.1104679	11081.5243	1245.897386	3	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1902	1.3844117	6646.9892	83.390137	6.397594	1982-1999 –> 2000-2009	2.499152	1.1147403	11088.9133	173.441138	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1902	1.3903913	6663.3843	113.499036	6.507322	1982-1999 –> 2000-2009	2.513913	1.1235217	11128.0635	242.210484	5	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1902	1.3920475	6667.9128	125.077329	6.493316	1982-1999 –> 2000-2009	2.517156	1.1251086	11136.6853	270.538373	6	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1902	1.4358771	6785.8377	848.382920	7.398317	1982-1999 –> 2000-2009	2.572118	1.1362411	11283.1636	1384.921794	8	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1902	1.4369850	6786.7717	458.256549	7.427966	1982-1999 –> 2000-2009	2.596886	1.1599008	11341.8634	902.068943	9	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1902	1.4490162	6820.4881	612.752457	7.453811	1982-1999 –> 2000-2009	2.597059	1.1480433	11347.7810	894.351010	10	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1902	1.4523909	6829.3371	687.197381	7.459619	1982-1999 –> 2000-2009	2.602086	1.1496955	11360.8006	1009.344630	12	21
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2493	1.5737781	9347.8747	588.934793	6.074616	2000-2009 –> 2010-2019	2.950913	1.3771349	15974.8164	1144.416718	2	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2493	1.5715168	9342.7053	938.524544	5.923925	2000-2009 –> 2010-2019	2.955836	1.3843196	15991.4416	1825.195738	1	3
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2493	1.5772018	9358.7097	144.305981	6.153469	2000-2009 –> 2010-2019	2.961613	1.3844117	16005.6989	227.696118	5	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2493	1.5746107	9350.5119	185.607729	6.017016	2000-2009 –> 2010-2019	2.965002	1.3903913	16013.8962	299.106765	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2493	1.5745289	9350.2528	193.927294	6.019912	2000-2009 –> 2010-2019	2.966576	1.3920475	16018.1656	319.004623	3	8
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + silicate + phosphate_star	2493	1.5779203	9358.9806	18.344447	6.279556	2000-2009 –> 2010-2019	2.999086	1.4211661	16103.6441	29.256463	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	2493	1.6611013	9615.1269	550.143379	7.186397	2000-2009 –> 2010-2019	3.098086	1.4369850	16401.8986	1008.399928	11	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2493	1.6577509	9607.0601	759.719559	7.131009	2000-2009 –> 2010-2019	3.106767	1.4490162	16427.5482	1372.472016	7	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	2493	1.6606465	9613.7616	19.306547	7.165932	2000-2009 –> 2010-2019	3.109900	1.4492536	16432.8729	32.546610	10	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2493	1.6578085	9607.2333	820.457174	7.124884	2000-2009 –> 2010-2019	3.110199	1.4523909	16436.5704	1507.654555	8	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4783	1.3065925	16145.7305	496.971068	6.737619	1982-1999 –> 2000-2009	2.402608	1.0960151	26797.5129	992.307233	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4783	1.3288338	16307.1962	603.026611	6.999287	1982-1999 –> 2000-2009	2.441842	1.1130086	27067.3255	962.309246	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4783	1.3350188	16351.6177	513.146289	7.083434	1982-1999 –> 2000-2009	2.451435	1.1164162	27133.2744	813.995516	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4783	1.3504855	16459.8058	34.756693	6.962919	1982-1999 –> 2000-2009	2.494441	1.1439555	27411.0635	68.718164	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4783	1.4146312	16903.7135	477.263178	7.173408	1982-1999 –> 2000-2009	2.620189	1.2055581	28224.3286	884.571574	8	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	4783	1.3749241	16631.3666	365.013770	6.751587	1982-1999 –> 2000-2009	2.630081	1.2551570	28235.9013	726.981124	5	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4783	1.4289128	16999.8041	369.948902	7.501635	1982-1999 –> 2000-2009	2.638805	1.2098918	28345.6883	597.187365	9	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4783	1.4298161	17005.8497	422.034318	7.544973	1982-1999 –> 2000-2009	2.639632	1.2098158	28351.2912	687.507962	10	16
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	4783	1.4309813	17011.6422	14.638940	7.594484	1982-1999 –> 2000-2009	2.641067	1.2100859	28356.6558	28.226706	11	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	4783	1.3932124	16757.7677	45.262266	6.642396	1982-1999 –> 2000-2009	2.661557	1.2683451	28435.9075	98.953931	6	16
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5415	1.3079581	18288.6040	764.860677	8.506076	2000-2009 –> 2010-2019	2.614550	1.3065925	34434.3344	1261.831745	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5415	1.3259188	18436.3088	654.722150	8.541291	2000-2009 –> 2010-2019	2.654753	1.3288338	34743.5051	1257.748761	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5415	1.3281339	18454.3864	575.869331	8.569613	2000-2009 –> 2010-2019	2.663153	1.3350188	34806.0041	1089.015621	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5415	1.3312740	18477.9616	46.004422	8.591679	2000-2009 –> 2010-2019	2.681760	1.3504855	34937.7674	80.761116	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	5415	1.3551171	18670.2097	625.010530	8.330842	2000-2009 –> 2010-2019	2.730041	1.3749241	35301.5763	990.024300	9	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5415	1.3398656	18547.6299	711.182200	8.701332	2000-2009 –> 2010-2019	2.754497	1.4146312	35451.3434	1188.445377	5	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	5415	1.3694545	18784.1914	61.714798	8.390817	2000-2009 –> 2010-2019	2.762667	1.3932124	35541.9592	106.977064	10	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	5415	1.3734256	18815.5509	68.893492	8.413383	2000-2009 –> 2010-2019	2.770781	1.3973557	35601.7252	121.135373	11	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5415	1.3525902	18649.9966	488.697420	8.776188	2000-2009 –> 2010-2019	2.781503	1.4289128	35649.8007	858.646323	6	15
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5415	1.3525925	18650.0147	540.839579	8.776365	2000-2009 –> 2010-2019	2.782409	1.4298161	35655.8644	962.873897	7	17
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	10984	0.7396725	24560.8409	270.136172	8.856215	1982-1999 –> 2000-2009	1.529610	0.7899378	43623.3543	449.273331	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	10984	0.7487731	24829.4752	294.134716	8.983373	1982-1999 –> 2000-2009	1.549638	0.8008645	44113.1635	423.753457	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	10984	0.7604010	25168.0018	244.204078	9.267448	1982-1999 –> 2000-2009	1.569561	0.8091596	44617.5907	345.170334	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	10984	0.8613858	27905.3355	235.551738	6.354385	1982-1999 –> 2000-2009	1.864187	1.0028015	50807.2870	308.605566	4	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	10984	0.8692176	28104.1667	9.755338	9.313094	1982-1999 –> 2000-2009	1.870745	1.0015272	50985.6456	19.810099	5	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	10984	0.8707407	28142.6271	846.108351	8.150861	1982-1999 –> 2000-2009	1.934861	1.0641201	52000.1252	1455.874040	6	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate	10984	0.8924229	28682.9500	139.883824	8.962462	1982-1999 –> 2000-2009	1.966911	1.0744878	52696.5497	266.315174	7	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	10984	0.9295767	29579.0067	191.765656	7.280152	1982-1999 –> 2000-2009	1.972825	1.0432488	53117.5863	248.186619	10	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	10984	0.9005983	28883.2812	9.828421	9.180180	1982-1999 –> 2000-2009	1.982411	1.0818129	53006.2679	20.500810	8	19
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	10984	0.9016348	28908.5490	10.259016	9.210881	1982-1999 –> 2000-2009	1.984048	1.0824129	53040.4617	22.142886	9	21
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	14697	0.7898682	34788.5512	232.607085	8.376274	2000-2009 –> 2010-2019	1.529541	0.7396725	59349.3921	502.743256	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	14697	0.7931574	34910.7026	197.488914	8.358524	2000-2009 –> 2010-2019	1.541931	0.7487731	59740.1778	491.623630	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	14697	0.8036140	35295.6875	171.439982	8.623312	2000-2009 –> 2010-2019	1.564015	0.7604010	60463.6894	415.644060	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	14697	0.8047816	35336.3627	154.345900	7.536137	2000-2009 –> 2010-2019	1.666167	0.8613858	63241.6981	389.897639	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	14697	0.9425594	39981.4380	10.178490	8.455917	2000-2009 –> 2010-2019	1.811777	0.8692176	68085.6047	19.933828	7	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	14697	0.9415905	39951.2058	763.414624	7.216692	2000-2009 –> 2010-2019	1.812331	0.8707407	68093.8329	1609.522974	6	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	14697	0.9052882	38795.5204	111.025781	7.517602	2000-2009 –> 2010-2019	1.834865	0.9295767	68374.5271	302.791437	5	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate	14697	0.9681679	40769.3916	186.419230	8.161337	2000-2009 –> 2010-2019	1.860591	0.8924229	69452.3415	326.303053	8	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	14697	0.9746211	40964.6624	10.182282	8.272852	2000-2009 –> 2010-2019	1.875219	0.9005983	69847.9437	20.010703	9	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	14697	0.9754533	40989.7507	10.395205	8.294679	2000-2009 –> 2010-2019	1.877088	0.9016348	69898.2997	20.654221	10	19
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5168	1.3029646	17415.4894	422.730691	4.362170	1982-1999 –> 2000-2009	2.874745	1.5717806	35950.1089	974.623988	3	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5168	1.3066974	17445.0589	600.131762	4.220556	1982-1999 –> 2000-2009	2.890787	1.5840897	36056.8905	1222.798808	6	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	5168	1.3066981	17443.0642	383.713732	4.222773	1982-1999 –> 2000-2009	2.896042	1.5893437	36085.6704	715.806471	7	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5168	1.2975153	17372.1712	363.267714	4.194808	1982-1999 –> 2000-2009	2.911194	1.6136791	36167.1837	852.131498	1	5
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5168	1.3245288	17583.1511	412.822664	4.477776	1982-1999 –> 2000-2009	2.942035	1.6175067	36399.6135	808.569361	24	29
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5168	1.3027791	17414.0178	457.505786	4.151486	1982-1999 –> 2000-2009	2.949812	1.6470325	36411.5277	1001.048971	2	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	5168	1.3082408	17455.2595	42.982070	4.223766	1982-1999 –> 2000-2009	2.970830	1.6625896	36543.8226	98.866532	10	17
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5168	1.3162303	17518.1902	59.800758	4.339292	1982-1999 –> 2000-2009	2.982357	1.6661264	36627.7867	122.751630	19	28
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5168	1.3492142	17774.0116	150.400231	4.535012	1982-1999 –> 2000-2009	3.014534	1.6653195	36878.8132	302.401096	29	37
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5168	1.3211557	17556.7958	104.833909	4.285868	1982-1999 –> 2000-2009	3.026957	1.7058016	36899.3294	223.631270	23	34
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6286	1.4316022	22363.6560	482.741040	6.617816	2000-2009 –> 2010-2019	2.729117	1.2975153	39735.8272	846.008754	1	2
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6286	1.4330643	22376.4900	543.861268	6.586807	2000-2009 –> 2010-2019	2.736029	1.3029646	39791.9794	966.591959	2	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6286	1.4347983	22391.6928	593.803943	6.665281	2000-2009 –> 2010-2019	2.737577	1.3027791	39805.7106	1051.309730	4	6
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6286	1.4330861	22374.6809	428.865497	6.578995	2000-2009 –> 2010-2019	2.738049	1.3049627	39804.0091	739.643847	3	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6286	1.4348453	22390.1041	418.469651	6.659658	2000-2009 –> 2010-2019	2.738634	1.3037892	39810.1334	723.992506	5	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6286	1.4367164	22408.4879	709.103210	6.683129	2000-2009 –> 2010-2019	2.743414	1.3066974	39853.5468	1309.234972	6	12
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6286	1.4368330	22407.5085	470.810968	6.690652	2000-2009 –> 2010-2019	2.743531	1.3066981	39850.5726	854.524700	7	14
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6286	1.4368367	22407.5410	40.431241	6.689340	2000-2009 –> 2010-2019	2.743615	1.3067784	39851.2400	71.419576	8	16
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ nitrate + silicate + phosphate_star	6286	1.4372801	22409.4198	8.105179	6.715827	2000-2009 –> 2010-2019	2.744091	1.3068112	39851.3782	12.349118	9	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	6286	1.4373581	22412.1021	60.434273	6.677935	2000-2009 –> 2010-2019	2.745599	1.3082408	39867.3616	103.416343	10	20

5.4.2 per fitting unit

lm_best %>%
  select(-n_predictors) %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2009	6.165682	867.4614
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	4.641600	789.9468
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	8.228507	3608.1662
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	8.541087	3464.7157
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	5.688133	4482.3807
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.296590	4643.4711
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	4.392920	7391.6431
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	5.426911	7172.2457
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	4.687615	10318.4382
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	5.587849	11018.9126
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	6.127065	18578.1078
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.718880	20905.0036
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	5.683235	34551.5415
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.250169	39430.2198
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	3.381515	10025.4091
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	4.184361	12016.5496
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	4.508554	11734.6760
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	5.390677	13206.4128
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.229342	16850.2076
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.247337	16895.2802
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.309209	3364.2415
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	1.616682	4328.2343
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.172319	4271.6028
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	1.439461	5952.0782
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.366151	8653.8428
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.586067	11864.3808
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.770308	15379.4628
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.885968	19426.5132
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	16.860056	26800.1582
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	14.460109	41480.6679
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.788545	26650.9610
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	8.873423	31187.4016
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	7.690598	22705.3781
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	8.168685	27250.6562
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	7.124107	30783.6711
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.580656	36127.3630
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	5.902855	35366.7788
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	6.093716	43465.0026
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.932519	47808.2772
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.697570	58337.5041
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.332651	56216.1530
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	7.391924	69422.3084
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	4.449321	18688.1956
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	5.000472	22825.0939
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.904095	20612.7162
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	4.178006	25656.2332
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.471635	22131.3515
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.760219	31492.0288
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.534781	11183.2793
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	3.022398	16180.6553
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.562166	27835.8949
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.719611	35212.3880
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.822480	49800.8032
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.737353	65654.7507
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.945929	36402.0747
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.739966	39822.1759

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
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
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a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
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c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
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90a9da5	Donghe-Zhu	2021-06-25
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b5b95a9	Donghe-Zhu	2021-06-24
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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
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9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
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2705a04	Donghe-Zhu	2021-03-28
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75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
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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
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17f1c4a	Donghe-Zhu	2021-03-09
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02f7242	Donghe-Zhu	2021-03-09
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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
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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
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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
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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
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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
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	nitrate	phosphate	phosphate_star	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	7	7	6	10	8
(26,26.5]	6	6	7	8	9	8
(26.5,26.75]	7	6	7	8	8	8
(26.75,27]	7	6	7	7	9	8
(27,27.25]	7	8	6	7	7	9
(27.25,27.5]	7	9	4	6	6	10
(27.5,27.75]	9	6	5	5	5	8
(27.75,27.85]	6	1	6	8	6	8
(27.85,27.95]	6	2	6	8	5	8
(27.95,28.05]	6	2	6	8	5	8
(28.05,28.1]	4	2	4	8	5	10
(28.1,28.15]	4	2	4	8	5	10
(28.15,28.2]	8	9	4	6	5	8
(28.2, Inf]	8	8	5	7	6	7
total	91.00	74.00	78.00	100.00	91.00	118.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	5	8	7	7	10	7
(26,26.5]	7	7	7	7	7	9
(26.5,26.75]	6	7	6	8	8	9
(26.75,27]	7	6	6	7	10	8
(27,27.25]	7	8	6	7	7	9
(27.25,27.5]	7	10	4	6	6	9
(27.5,27.75]	8	7	7	6	6	8
(27.75,27.85]	6	2	6	7	7	8
(27.85,27.95]	6	1	6	8	6	8
(27.95,28.05]	6	2	6	8	5	8
(28.05,28.1]	4	2	4	8	5	10
(28.1,28.15]	4	2	4	8	5	10
(28.15,28.2]	6	8	4	6	5	9
(28.2, Inf]	8	6	5	7	7	7
total	87.00	76.00	78.00	100.00	94.00	119.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	6	6	7	8	9	8
(26,26.5]	8	6	7	7	8	8
(26.5,26.75]	8	8	8	7	6	7
(26.75,27]	6	10	6	8	5	8
(27,27.25]	6	10	6	8	5	8
(27.25,27.5]	5	8	6	7	6	10
(27.5,27.75]	7	8	7	5	9	6
(27.75,27.85]	8	7	6	5	6	10
(27.85,27.95]	7	7	6	6	7	10
(27.95,28.05]	6	4	6	8	5	10
(28.05,28.1]	7	6	6	6	6	10
(28.1,28.2]	6	8	5	7	6	10
(28.2,28.3]	5	6	7	7	10	8
(28.3, Inf]	8	10	6	7	6	7
total	93.00	104.00	89.00	96.00	94.00	120.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	6	7	7	9	8
(26,26.5]	8	6	7	7	8	8
(26.5,26.75]	7	6	7	8	9	7
(26.75,27]	7	9	7	8	6	7
(27,27.25]	6	10	6	8	5	8
(27.25,27.5]	5	8	6	7	6	10
(27.5,27.75]	6	10	6	7	7	7
(27.75,27.85]	7	6	7	6	6	10
(27.85,27.95]	7	7	6	6	7	10
(27.95,28.05]	6	4	4	6	5	10
(28.05,28.1]	6	4	4	8	6	10
(28.1,28.2]	6	7	6	7	7	10
(28.2,28.3]	5	6	7	7	10	8
(28.3, Inf]	6	10	5	7	10	5
total	89.00	99.00	85.00	99.00	101.00	118.00

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
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

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

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

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

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

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

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