eMLR - model fitting

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Last updated: 2021-07-30

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: d41780a

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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_777620_256x240.png
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    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
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.theme.css
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    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	68bce3f	Donghe-Zhu	2021-07-30	Build site.
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.
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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.
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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.
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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.
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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.
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html	94ce5a8	Donghe-Zhu	2021-03-10	Build site.
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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.
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html	9f58753	Donghe-Zhu	2021-03-10	Build site.
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html	fd528ed	Donghe-Zhu	2021-03-10	Build site.
html	9d5a62c	Donghe-Zhu	2021-03-10	Build site.
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html	2093979	Donghe-Zhu	2021-03-10	Build site.
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html	cc2a956	Donghe-Zhu	2021-03-10	Build site.
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html	dba33c8	Donghe-Zhu	2021-03-09	Build site.
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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
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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.
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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:

• sal, 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 ~ sal + aou + silicate + phosphate + phosphate_star	113	1.8579016	474.6753	354.074761	5.097576	1982-1999 –> 2000-2009	2.981646	1.1237444	676.0191	397.498933	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	113	2.3905851	531.6477	270.004604	5.894233	1982-1999 –> 2000-2009	3.519994	1.1294085	733.6049	351.360451	6	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	113	2.8597902	570.1492	86.398819	9.932358	1982-1999 –> 2000-2009	4.004192	1.1444020	771.7153	95.675534	7	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	113	2.3146938	524.3568	353.264440	9.168840	1982-1999 –> 2000-2009	4.211926	1.8972322	789.5956	420.557575	4	8
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	2	16
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	113	3.0812918	589.0090	71.882600	9.706400	1982-1999 –> 2000-2009	5.555484	2.4741925	886.6410	164.567378	9	14
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	5	21
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	113	3.9546886	643.4079	13.829915	13.209875	1982-1999 –> 2000-2009	6.841496	2.8868072	957.8569	80.696118	12	18
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	113	1.9069109	478.5596	8.401384	5.007225	1982-1999 –> 2000-2009	6.943594	5.0366835	860.9134	51.824350	3	32
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	113	4.0013392	646.0583	96.586769	16.498488	1982-1999 –> 2000-2009	6.994041	2.9927020	964.9023	99.482536	13	22
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	58	0.6660142	131.4493	119.407051	2.495730	2000-2009 –> 2010-2019	2.523916	1.8579016	606.1246	473.481812	5	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	58	0.6383206	126.5228	101.539104	3.350427	2000-2009 –> 2010-2019	2.953014	2.3146938	650.8796	454.803544	3	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	58	0.6026448	119.8513	274.765784	2.745887	2000-2009 –> 2010-2019	2.993230	2.3905851	651.4990	544.770388	1	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	58	0.6960163	134.5605	31.052624	2.512369	2000-2009 –> 2010-2019	3.555807	2.8597902	704.7098	117.451443	11	18
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	58	0.6694691	132.0495	133.633376	3.416834	2000-2009 –> 2010-2019	3.750761	3.0812918	721.0585	205.515977	7	16
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	26	28
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + silicate + phosphate	58	0.9988014	176.4577	32.550506	2.882246	2000-2009 –> 2010-2019	4.177684	3.1788826	770.5136	41.201219	18	28
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	28	33
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	58	0.7421001	141.9974	53.065931	3.151691	2000-2009 –> 2010-2019	4.606772	3.8646715	780.2017	69.609323	13	24
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	58	0.6750581	131.0139	101.352287	3.376784	2000-2009 –> 2010-2019	4.629747	3.9546886	774.4218	115.182202	8	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	234	3.8674858	1311.0822	173.146806	9.606213	1982-1999 –> 2000-2009	6.977510	3.1100243	3388.3660	469.553828	1	3
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	234	4.0109926	1328.1334	173.496848	10.219007	1982-1999 –> 2000-2009	7.075120	3.0641274	3393.4041	463.874615	2	3
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	3	6
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	5	9
Atlantic	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	234	4.4420890	1373.9096	73.641207	11.129894	1982-1999 –> 2000-2009	8.388065	3.9459759	3641.5506	158.588770	4	9
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	234	4.8437163	1416.4185	112.338699	14.953058	1982-1999 –> 2000-2009	8.864852	4.0211353	3701.3048	211.082846	6	12
Atlantic	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	234	4.9010988	1419.9302	112.148378	16.205821	1982-1999 –> 2000-2009	8.929535	4.0284361	3704.2822	182.478123	15	22
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	234	4.8557162	1415.5765	10.327495	15.161682	1982-1999 –> 2000-2009	9.070300	4.2145840	3736.4280	24.064090	7	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	234	5.1018270	1440.7154	86.716844	17.775755	1982-1999 –> 2000-2009	9.208817	4.1069895	3742.6715	158.352057	24	32
Atlantic	(26,26.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	234	5.1195587	1440.3392	45.550057	18.324272	1982-1999 –> 2000-2009	9.226781	4.1072223	3740.3411	90.066756	27	36
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	367	3.2323894	1916.6455	258.703180	11.346938	2000-2009 –> 2010-2019	7.099875	3.8674858	3227.7277	431.849987	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	367	3.2827991	1928.0041	258.644315	12.638261	2000-2009 –> 2010-2019	7.293792	4.0109926	3256.1374	432.141163	2	4
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	13
Atlantic	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	367	4.1671192	2101.0840	138.846059	15.410855	2000-2009 –> 2010-2019	8.609208	4.4420890	3474.9936	212.487266	16	20
Atlantic	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	367	4.1267852	2093.9449	139.307138	16.739671	2000-2009 –> 2010-2019	8.613094	4.4863091	3472.4904	213.424401	11	16
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	367	4.0683984	2085.4860	190.565448	19.704399	2000-2009 –> 2010-2019	8.912115	4.8437163	3501.9045	302.904147	4	10
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	367	4.1199018	2092.7196	12.781281	18.888717	2000-2009 –> 2010-2019	8.975618	4.8557162	3508.2961	23.108776	7	14
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	367	4.1152547	2093.8912	239.594984	18.488452	2000-2009 –> 2010-2019	8.987218	4.8719635	3513.0311	361.335607	6	14
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	367	4.1217919	2093.0563	4.712720	17.928915	2000-2009 –> 2010-2019	9.002717	4.8809248	3511.0561	9.399087	8	19
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	367	4.1291897	2094.3725	58.119512	19.189342	2000-2009 –> 2010-2019	9.020742	4.8915524	3513.3903	108.591383	12	25
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	389	2.6055927	1862.9938	86.174101	7.172022	1982-1999 –> 2000-2009	5.568698	2.9631056	4462.3359	159.131720	1	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	389	2.6056972	1861.0250	10.091969	7.187997	1982-1999 –> 2000-2009	5.634600	3.0289028	4481.0324	24.783389	2	7
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 ~ 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	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	389	2.8480737	1932.2223	70.451484	7.629528	1982-1999 –> 2000-2009	6.107724	3.2596502	4629.9986	146.689920	3	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	389	3.0592331	1985.8660	21.340214	8.013741	1982-1999 –> 2000-2009	6.159984	3.1007507	4630.0674	47.941115	7	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	389	2.9120635	1947.5088	4.014348	7.653037	1982-1999 –> 2000-2009	6.235211	3.3231472	4663.1948	7.230308	4	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	389	3.6257640	2118.0488	24.454990	8.428408	1982-1999 –> 2000-2009	6.414703	2.7889390	4652.8758	109.178280	13	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	389	3.0825293	1991.7680	21.022318	8.835918	1982-1999 –> 2000-2009	6.441695	3.3591659	4718.5795	48.441267	8	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	389	3.0536489	1986.4446	93.675576	7.801637	1982-1999 –> 2000-2009	6.491193	3.4375437	4739.0585	161.890525	5	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	464	4.6362827	2754.2461	107.753173	11.065118	2000-2009 –> 2010-2019	7.241875	2.6055927	4617.2399	193.927274	4	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	464	4.7688729	2778.4130	16.752355	13.082415	2000-2009 –> 2010-2019	7.374570	2.6056972	4639.4380	26.844325	6	8
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	1	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	464	4.5123996	2727.1123	152.283867	11.971737	2000-2009 –> 2010-2019	7.641483	3.1290829	4730.5422	174.659492	3	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	464	4.8062192	2787.6521	109.648744	10.799979	2000-2009 –> 2010-2019	7.654293	2.8480737	4719.8744	180.100228	7	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	464	4.6612916	2757.2385	22.674789	10.469791	2000-2009 –> 2010-2019	7.720525	3.0592331	4743.1045	44.015003	5	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	464	4.8089823	2786.1855	21.490037	10.644932	2000-2009 –> 2010-2019	7.891512	3.0825293	4777.9535	42.512355	8	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	464	4.9999708	2822.3279	5.694788	13.646611	2000-2009 –> 2010-2019	7.912034	2.9120635	4769.8367	9.709135	10	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	464	4.4120719	2706.2466	161.856377	10.317968	2000-2009 –> 2010-2019	8.037836	3.6257640	4824.2953	186.311367	2	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	464	4.9936970	2823.1628	103.194991	12.327321	2000-2009 –> 2010-2019	8.047346	3.0536489	4809.6073	196.870567	9	14
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	1	2
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	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	603	2.5223673	2841.0285	141.322972	8.601904	1982-1999 –> 2000-2009	4.497912	1.9755447	7537.5438	223.784446	3	6
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	603	2.5227944	2839.2327	18.927448	8.907052	1982-1999 –> 2000-2009	4.502855	1.9800602	7538.8394	50.690846	4	8
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	603	2.8948087	3007.1202	139.986949	9.855421	1982-1999 –> 2000-2009	5.335605	2.4407965	8175.2366	228.483488	5	10
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	603	2.9156481	3013.7710	4.259064	10.555396	1982-1999 –> 2000-2009	5.367534	2.4518864	8189.9965	10.965994	6	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	603	3.0535639	3071.5090	131.282728	11.801782	1982-1999 –> 2000-2009	5.617613	2.5640488	8349.4822	206.807592	7	14
Atlantic	(26.75,27]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	603	3.0591200	3071.7014	4.705717	11.893873	1982-1999 –> 2000-2009	5.699932	2.6408118	8413.4569	12.448459	8	16
Atlantic	(26.75,27]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	603	3.0888262	3083.3560	4.153243	11.581838	1982-1999 –> 2000-2009	5.746073	2.6572471	8438.9471	10.796782	9	19
Atlantic	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	603	3.6609492	3288.2931	169.869525	10.211114	1982-1999 –> 2000-2009	6.306825	2.6458761	8634.3211	362.170050	12	21
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	2
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	873	2.7354734	4248.4744	112.284434	8.940963	2000-2009 –> 2010-2019	5.257841	2.5223673	7089.5028	253.607406	2	5
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	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	873	2.9497439	4378.1469	23.998454	13.899862	2000-2009 –> 2010-2019	5.472538	2.5227944	7217.3796	42.925901	4	8
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	873	2.9266940	4366.4497	122.197506	9.717977	2000-2009 –> 2010-2019	5.821503	2.8948087	7373.5699	262.184455	3	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	873	3.1086555	4469.7630	4.317482	13.840684	2000-2009 –> 2010-2019	6.024304	2.9156481	7483.5340	8.576547	6	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	873	3.1212541	4478.8248	99.033039	9.717929	2000-2009 –> 2010-2019	6.174818	3.0535639	7550.3338	230.315767	7	14
Atlantic	(26.75,27]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	873	3.1759413	4507.1514	4.509849	13.692327	2000-2009 –> 2010-2019	6.264767	3.0888262	7590.5074	8.663092	8	17
Atlantic	(26.75,27]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	873	3.3768096	4614.2288	4.756110	17.805470	2000-2009 –> 2010-2019	6.435930	3.0591200	7685.9302	9.461827	9	17
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	873	3.8019808	4821.2884	93.524389	12.763359	2000-2009 –> 2010-2019	7.277055	3.4750738	8046.7409	204.987132	11	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	967	2.1647875	4251.8983	158.594486	6.424577	1982-1999 –> 2000-2009	3.632167	1.4673793	9161.2617	318.781468	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	967	2.4033393	4454.0727	353.472299	10.764183	1982-1999 –> 2000-2009	3.795993	1.3926542	9221.4800	1110.625175	3	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	967	2.4222152	4467.2031	56.226839	11.016607	1982-1999 –> 2000-2009	3.894944	1.4727292	9384.4507	139.510746	4	7
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	967	2.2930407	4363.2126	188.002986	6.667762	1982-1999 –> 2000-2009	4.361369	2.0683283	10204.8773	365.340091	2	11
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	967	2.5515537	4567.8097	14.889006	10.288976	1982-1999 –> 2000-2009	4.628932	2.0773786	10419.3329	31.250940	6	16
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	967	2.8177082	4761.7039	296.105241	10.071275	1982-1999 –> 2000-2009	4.671065	1.8533563	10305.3081	1016.511706	10	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	967	2.8387471	4774.0908	156.931239	10.120331	1982-1999 –> 2000-2009	4.783054	1.9443071	10445.8117	295.268290	11	16
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	12	18
Atlantic	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	967	2.6343820	4631.5936	136.034929	8.595460	1982-1999 –> 2000-2009	4.853694	2.2193120	10664.6183	274.533247	7	19
Atlantic	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	967	2.7282187	4697.2841	14.532542	13.454572	1982-1999 –> 2000-2009	4.948784	2.2205656	10729.8426	32.395150	9	22
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1287	2.1506581	5637.4498	284.361521	8.049067	2000-2009 –> 2010-2019	4.315446	2.1647875	9889.3481	442.956007	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1287	2.2243637	5724.1859	289.655862	8.009101	2000-2009 –> 2010-2019	4.517404	2.2930407	10087.3985	477.658848	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1287	2.3481315	5863.5654	629.253535	12.339550	2000-2009 –> 2010-2019	4.751471	2.4033393	10317.6381	982.725834	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1287	2.3577612	5872.0998	79.054349	12.689458	2000-2009 –> 2010-2019	4.779976	2.4222152	10339.3029	135.281188	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1287	2.3994380	5917.2015	124.561472	8.208996	2000-2009 –> 2010-2019	4.826784	2.4273460	10388.4969	195.765796	5	10
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1287	2.4676474	5989.3525	18.391158	11.154980	2000-2009 –> 2010-2019	5.019201	2.5515537	10557.1622	33.280164	6	12
Atlantic	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1287	2.4852426	6009.6408	244.866639	8.570215	2000-2009 –> 2010-2019	5.119625	2.6343820	10641.2344	380.901568	7	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1287	2.5259011	6049.4107	18.851823	10.906092	2000-2009 –> 2010-2019	5.177349	2.6514481	10691.4927	34.114392	8	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1287	2.5868007	6110.7336	19.083099	13.712665	2000-2009 –> 2010-2019	5.315019	2.7282187	10808.0177	33.615641	9	18
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1287	2.7556792	6275.5188	638.479179	13.388266	2000-2009 –> 2010-2019	5.573387	2.8177082	11037.2227	934.584420	11	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1773	3.5840750	9572.0265	255.919104	9.234629	1982-1999 –> 2000-2009	6.383630	2.7995555	19061.3314	890.780891	1	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1773	3.5877547	9575.6653	160.804948	9.700141	1982-1999 –> 2000-2009	6.568349	2.9805944	19307.4725	491.249063	2	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	1773	3.5882717	9574.1762	32.397465	9.609201	1982-1999 –> 2000-2009	6.575471	2.9871989	19312.5492	89.351371	3	14
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1773	4.0841108	10035.1469	344.103393	14.495117	1982-1999 –> 2000-2009	6.649181	2.5650704	19185.9245	1164.394345	9	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1773	3.8472991	9821.3349	203.731750	10.860794	1982-1999 –> 2000-2009	6.804916	2.9576167	19521.1922	674.905567	4	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1773	4.1732010	10109.6673	319.514128	13.905716	1982-1999 –> 2000-2009	6.860807	2.6876059	19439.0379	1090.796591	11	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	1773	4.0847834	10033.7308	37.199509	14.343391	1982-1999 –> 2000-2009	6.972258	2.8874748	19640.7026	105.498186	10	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1773	4.3684920	10271.8418	287.023118	13.053517	1982-1999 –> 2000-2009	7.156104	2.7876123	19742.6015	1042.957774	16	20
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	1773	4.1747618	10108.9932	5.313345	14.068899	1982-1999 –> 2000-2009	7.161237	2.9864747	19844.4278	12.871458	12	22
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1773	4.0456742	9999.6166	38.328136	12.358518	1982-1999 –> 2000-2009	7.337915	3.2922413	20114.2790	118.579881	6	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1998	3.5194440	10712.2573	740.529024	10.376850	2000-2009 –> 2010-2019	7.103519	3.5840750	20284.2838	996.448128	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1998	3.5268625	10720.6714	466.285299	10.923955	2000-2009 –> 2010-2019	7.114617	3.5877547	20296.3367	627.090248	2	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	1998	3.6085448	10810.1635	55.093887	10.678505	2000-2009 –> 2010-2019	7.196816	3.5882717	20384.3397	87.491352	5	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1998	3.7654984	10980.2958	577.063628	12.466150	2000-2009 –> 2010-2019	7.612798	3.8472991	20801.6307	780.795378	12	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1998	3.5479177	10744.4564	799.321942	12.901663	2000-2009 –> 2010-2019	7.632028	4.0841108	20779.6033	1143.425335	3	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	1998	3.5772366	10775.3425	58.845309	12.125565	2000-2009 –> 2010-2019	7.662020	4.0847834	20809.0733	96.044819	4	14
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1998	3.6318229	10837.8583	730.900915	13.489607	2000-2009 –> 2010-2019	7.693145	4.0613225	20853.1640	989.628312	6	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1998	3.8788365	11098.7972	440.913612	14.243192	2000-2009 –> 2010-2019	7.828716	3.9498792	21013.4403	599.233975	15	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1998	3.7352678	10948.0852	755.919725	11.913821	2000-2009 –> 2010-2019	7.908469	4.1732010	21057.7525	1075.433854	11	22
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1998	3.6419814	10847.0198	17.133927	14.241858	2000-2009 –> 2010-2019	7.941479	4.2994973	21062.4102	32.728192	7	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3379	2.3839142	15474.1569	393.410706	11.829248	1982-1999 –> 2000-2009	4.059164	1.6752494	29848.9889	1037.322887	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3379	2.4020737	15523.4411	337.081883	11.101161	1982-1999 –> 2000-2009	4.187945	1.7858712	30370.8681	923.318362	3	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	3379	2.3879289	15483.5284	26.186395	12.043818	1982-1999 –> 2000-2009	4.407395	2.0194660	31243.3175	60.371455	2	5
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	3379	2.4088623	15540.5131	2.658908	11.275400	1982-1999 –> 2000-2009	4.551208	2.1423456	31736.7065	6.729450	4	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3379	2.6047731	16072.9279	262.610074	13.173431	1982-1999 –> 2000-2009	4.993971	2.3891981	33082.5385	846.948670	5	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	3379	2.6525836	16193.8461	24.041357	15.222972	1982-1999 –> 2000-2009	5.085515	2.4329316	33336.0856	57.013923	6	14
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	17	22
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3379	2.7681291	16481.9909	262.442711	13.531383	1982-1999 –> 2000-2009	5.644741	2.8766114	34867.5344	843.527590	7	17
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	18	24
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	3379	2.8750946	16736.2130	2.899103	16.906336	1982-1999 –> 2000-2009	5.751754	2.8766597	35119.8812	7.450681	11	22
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3894	2.0646350	16710.6308	996.900221	12.886775	2000-2009 –> 2010-2019	4.449278	2.3846431	32186.8538	1766.994305	1	3
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3894	2.1116253	16883.8958	758.168164	12.465133	2000-2009 –> 2010-2019	4.507686	2.3960607	32390.3986	1337.510325	2	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3894	2.2866896	17506.1884	631.385771	14.315839	2000-2009 –> 2010-2019	4.670604	2.3839142	32980.3452	1024.796477	4	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	3894	2.3142466	17597.4811	31.271057	15.028499	2000-2009 –> 2010-2019	4.702176	2.3879289	33081.0095	57.457452	5	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3894	2.4948562	18182.7249	586.403084	15.099188	2000-2009 –> 2010-2019	4.896930	2.4020737	33706.1660	923.484966	10	15
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	3894	2.5129544	18237.0170	3.338355	15.689494	2000-2009 –> 2010-2019	4.921817	2.4088623	33777.5302	5.997263	11	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3894	2.2122720	17246.5213	806.372486	12.524817	2000-2009 –> 2010-2019	5.027737	2.8154650	33843.0991	1428.963011	3	15
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3894	2.4711828	18110.4726	384.618739	12.499230	2000-2009 –> 2010-2019	5.075956	2.6047731	34183.4006	647.228813	7	14
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3894	2.4336786	17989.3713	17.137572	12.452287	2000-2009 –> 2010-2019	5.235169	2.8014899	34552.3210	33.768101	6	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	3894	2.4726693	18113.1560	16.152720	12.914308	2000-2009 –> 2010-2019	5.287793	2.8151237	34708.9145	31.523425	9	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1320	1.2108119	4263.0062	29.482008	12.427993	1982-1999 –> 2000-2009	2.159074	0.9482622	7752.3695	62.906180	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1320	1.2559537	4359.6411	25.179816	13.517333	1982-1999 –> 2000-2009	2.253804	0.9978497	7978.7782	55.252255	2	4
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	1320	1.3688963	4584.9704	2.642719	10.825435	1982-1999 –> 2000-2009	2.517657	1.1487607	8560.6765	6.863936	3	6
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1320	1.3906806	4628.6519	24.718001	12.293910	1982-1999 –> 2000-2009	2.762249	1.3715685	9057.6907	47.037634	4	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1320	1.3979004	4642.3222	27.714018	12.186149	1982-1999 –> 2000-2009	2.771738	1.3738375	9075.5694	50.576322	5	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1320	1.4450126	4729.8294	27.093632	12.428220	1982-1999 –> 2000-2009	2.850546	1.4055333	9221.1482	48.947547	6	14
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	12	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + silicate + phosphate_star	1320	1.5770341	4958.6389	15.479422	14.151541	1982-1999 –> 2000-2009	3.064325	1.4872910	9591.9072	35.546818	8	17
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	13	18
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + phosphate + phosphate_star	1320	1.5583960	4927.2525	15.533537	10.440326	1982-1999 –> 2000-2009	3.170112	1.6117163	9765.0748	29.373989	7	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	1461	1.2153951	4728.1306	21.206231	5.850561	2000-2009 –> 2010-2019	2.426207	1.2108119	8991.1369	50.688239	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1461	1.3270668	4984.9799	18.744999	5.744650	2000-2009 –> 2010-2019	2.583020	1.2559537	9344.6211	43.924815	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1461	1.4958523	5334.8166	16.300351	7.527051	2000-2009 –> 2010-2019	2.886533	1.3906806	9963.4685	41.018352	4	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1461	1.4903196	5323.9889	17.929561	7.516541	2000-2009 –> 2010-2019	2.888220	1.3979004	9966.3111	45.643579	3	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1461	1.5235458	5388.4185	17.351478	7.648149	2000-2009 –> 2010-2019	2.968558	1.4450126	10118.2479	44.445110	5	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + silicate + phosphate_star	1461	1.6090147	5545.9058	13.131281	7.356110	2000-2009 –> 2010-2019	3.186049	1.5770341	10504.5448	28.610703	6	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	1461	2.1113014	6339.7622	3.855990	10.921601	2000-2009 –> 2010-2019	3.480198	1.3688963	10924.7326	6.498710	8	11
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	7	20
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + phosphate + phosphate_star	1461	2.4083166	6724.3660	14.452512	13.224623	2000-2009 –> 2010-2019	3.966713	1.5583960	11651.6185	29.986049	10	17
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1461	2.5080344	6844.9155	927.343533	14.263587	2000-2009 –> 2010-2019	4.086265	1.5782307	11807.5569	1518.639723	11	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	1311	2.6565723	6294.2470	36.691096	22.958250	1982-1999 –> 2000-2009	3.587335	0.9307628	10167.2869	68.827893	1	2
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	1311	2.6835186	6318.7086	5.868892	23.273030	1982-1999 –> 2000-2009	3.739880	1.0563618	10552.5314	13.201588	2	6
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1311	2.7689915	6404.9197	561.339117	22.976747	1982-1999 –> 2000-2009	3.752523	0.9835312	10438.0051	1514.418769	5	7
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	1311	2.8378799	6467.3530	30.649881	24.097493	1982-1999 –> 2000-2009	3.856845	1.0189656	10599.8771	58.906814	11	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1311	2.7273928	6363.2304	41.623542	22.401745	1982-1999 –> 2000-2009	4.165503	1.4381100	11483.2112	71.288317	3	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1311	2.7710345	6404.8535	32.323764	22.794177	1982-1999 –> 2000-2009	4.210759	1.4397247	11528.0506	60.866389	6	14
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	13	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1311	2.7733044	6407.0005	504.082322	23.198747	1982-1999 –> 2000-2009	4.260717	1.4874121	11623.5885	1337.106878	7	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1311	2.8149003	6446.0350	37.217923	22.196568	1982-1999 –> 2000-2009	4.326253	1.5113528	11708.3856	60.266406	9	19
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + phosphate + phosphate_star	1311	2.7603654	6392.7388	29.248418	22.767716	1982-1999 –> 2000-2009	4.346279	1.5859140	11791.1038	53.875812	4	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	1449	1.3150986	4917.8799	22.370215	8.353220	2000-2009 –> 2010-2019	3.971671	2.6565723	11212.1268	59.061310	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1449	1.4288540	5160.3010	625.040409	9.828690	2000-2009 –> 2010-2019	4.197845	2.7689915	11565.2207	1186.379526	2	7
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	1449	1.4408265	5182.4825	19.236674	9.537828	2000-2009 –> 2010-2019	4.278706	2.8378799	11649.8354	49.886556	3	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1449	1.7448385	5737.2903	28.744435	12.839021	2000-2009 –> 2010-2019	4.472231	2.7273928	12100.5207	70.367977	4	7
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1449	1.7529424	5750.7189	25.908457	13.096813	2000-2009 –> 2010-2019	4.523977	2.7710345	12155.5724	58.232221	5	11
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	1449	1.8958433	5975.8295	6.299340	8.177526	2000-2009 –> 2010-2019	4.579362	2.6835186	12294.5381	12.168232	7	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1449	1.8523538	5910.5768	21.838675	14.403650	2000-2009 –> 2010-2019	4.667254	2.8149003	12356.6118	59.056598	6	15
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + phosphate + phosphate_star	1449	2.2342950	6451.8607	28.041105	13.023611	2000-2009 –> 2010-2019	4.994660	2.7603654	12844.5995	57.289523	10	14
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	9	22
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1449	2.3834335	6641.1189	542.542634	13.496526	2000-2009 –> 2010-2019	5.156738	2.7733044	13048.1194	1046.624955	12	19
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	2	3
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	3	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	1414	3.8978006	7872.0046	25.371822	21.032362	1982-1999 –> 2000-2009	7.502328	3.6045274	17121.8665	57.823679	1	5
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate	1414	4.0905166	8006.4805	855.095969	23.478291	1982-1999 –> 2000-2009	7.539549	3.4490319	17103.5304	1512.198173	6	9
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	1414	3.9478228	7906.0667	8.582445	22.317358	1982-1999 –> 2000-2009	7.553718	3.6058957	17155.2265	17.671932	4	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1414	4.0591241	7986.6934	33.768942	20.864393	1982-1999 –> 2000-2009	7.928298	3.8691734	17478.8631	65.378476	5	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + phosphate + phosphate_star	1414	4.1341489	8036.4862	29.299837	22.411085	1982-1999 –> 2000-2009	8.008531	3.8743824	17531.2570	54.431286	7	14
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1414	4.1788758	8070.9177	791.644444	21.892070	1982-1999 –> 2000-2009	8.113665	3.9347895	17622.5997	1678.521614	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1414	4.1912165	8077.2568	25.224701	21.726151	1982-1999 –> 2000-2009	8.127917	3.9367004	17628.5993	45.752937	9	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1414	4.2352938	8106.8424	26.387265	21.871114	1982-1999 –> 2000-2009	8.178638	3.9433442	17663.9518	56.009166	10	21
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	1	3
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	2	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	1715	3.4016788	9078.2021	25.423901	20.314445	2000-2009 –> 2010-2019	7.299479	3.8978006	16950.2066	50.795722	3	4
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	1715	3.4547965	9129.3482	13.097238	20.491351	2000-2009 –> 2010-2019	7.402619	3.9478228	17035.4149	21.679683	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1715	3.7174933	9382.7193	36.987462	21.792371	2000-2009 –> 2010-2019	7.776617	4.0591241	17369.4127	70.756404	5	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + phosphate + phosphate_star	1715	3.7506836	9411.2069	36.760708	21.904597	2000-2009 –> 2010-2019	7.884832	4.1341489	17447.6931	66.060545	7	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1715	3.8272568	9482.5278	33.203738	22.241488	2000-2009 –> 2010-2019	8.062551	4.2352938	17589.3702	59.591003	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1715	3.8877630	9536.3295	25.785667	21.914512	2000-2009 –> 2010-2019	8.078979	4.1912165	17613.5863	51.010368	9	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	1715	3.7423951	9405.6187	22.508388	22.879117	2000-2009 –> 2010-2019	8.145812	4.4034167	17622.5496	45.322090	6	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1715	3.9354037	9578.1054	662.605223	22.583681	2000-2009 –> 2010-2019	8.181578	4.2461742	17692.2035	1167.786710	10	19
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate	784	1.0439305	2304.3086	46.584069	6.145709	1982-1999 –> 2000-2009	1.814855	0.7709243	4501.7553	99.317762	1	2
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	784	1.0644897	2332.8886	36.219747	6.070310	1982-1999 –> 2000-2009	1.842750	0.7782604	4546.1976	85.895380	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	784	1.0919844	2374.8743	42.465966	6.146065	1982-1999 –> 2000-2009	1.915685	0.8237005	4697.2059	89.660865	3	6
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	784	1.1346572	2432.9820	36.659650	6.148155	1982-1999 –> 2000-2009	2.075980	0.9413229	5005.0554	83.390456	4	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	784	1.2729049	2615.2565	64.496904	6.136278	1982-1999 –> 2000-2009	2.291235	1.0183297	5337.6314	148.197384	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + phosphate + phosphate_star	784	1.3095048	2657.7054	61.609128	6.621419	1982-1999 –> 2000-2009	2.345067	1.0355627	5409.7296	140.879813	8	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	784	1.3077456	2657.5975	58.488610	6.371244	1982-1999 –> 2000-2009	2.355326	1.0475803	5433.3826	134.755559	6	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	784	1.3086509	2656.6826	58.012841	6.457033	1982-1999 –> 2000-2009	2.357543	1.0488918	5432.8274	133.654032	7	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	784	1.5483494	2922.4087	35.291168	7.727788	1982-1999 –> 2000-2009	2.765548	1.2171986	5981.2239	71.827877	9	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	784	1.5608388	2933.0059	21.208686	7.629969	1982-1999 –> 2000-2009	2.783721	1.2228821	5998.6069	46.018750	10	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate	994	1.2963546	3348.8475	74.541179	5.804545	2000-2009 –> 2010-2019	2.340285	1.0439305	5653.1561	121.125248	1	2
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	994	1.2963579	3346.8525	73.913311	5.810759	2000-2009 –> 2010-2019	2.360848	1.0644897	5679.7411	110.133058	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	994	1.3603241	3444.6031	69.378093	6.412942	2000-2009 –> 2010-2019	2.452309	1.0919844	5819.4773	111.844059	3	6
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	994	1.4364317	3550.8280	69.168401	5.759822	2000-2009 –> 2010-2019	2.571089	1.1346572	5983.8100	105.828051	4	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	994	1.4574096	3581.6511	118.093355	6.073837	2000-2009 –> 2010-2019	2.730314	1.2729049	6196.9076	182.590258	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + phosphate + phosphate_star	994	1.4696211	3596.2390	98.150188	6.554599	2000-2009 –> 2010-2019	2.779126	1.3095048	6253.9443	159.759316	6	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	994	1.5241473	3670.6627	106.165836	6.637735	2000-2009 –> 2010-2019	2.831893	1.3077456	6328.2602	164.654445	7	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	994	1.5298681	3676.1107	96.273086	6.322362	2000-2009 –> 2010-2019	2.838519	1.3086509	6332.7933	154.285927	8	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	994	1.5570099	3711.0711	926.062920	5.992340	2000-2009 –> 2010-2019	3.137066	1.5800558	6663.2643	1568.865571	10	21
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + silicate + phosphate	994	1.5318442	3678.6769	37.297219	5.399062	2000-2009 –> 2010-2019	3.222008	1.6901641	6736.4990	69.885627	9	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1240	0.8797089	3213.1202	654.987151	4.872583	1982-1999 –> 2000-2009	1.671782	0.7920734	6018.9529	1195.419829	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + silicate	1240	0.9257981	3339.7617	76.034308	5.621457	1982-1999 –> 2000-2009	1.719488	0.7936901	6150.3983	133.161732	2	4
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	1240	0.9258139	3337.8041	61.200232	5.618102	1982-1999 –> 2000-2009	1.732684	0.8068699	6185.2425	113.423698	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + silicate + phosphate	1240	0.9579901	3424.5313	82.494433	5.474375	1982-1999 –> 2000-2009	1.785698	0.8277079	6334.0428	146.618685	4	8
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	1240	1.1234967	3817.7533	52.666325	5.569587	1982-1999 –> 2000-2009	2.122892	0.9993957	7169.3484	102.228555	5	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1240	1.1280092	3829.6943	58.789330	5.904549	1982-1999 –> 2000-2009	2.189503	1.0614941	7325.3134	122.518628	6	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1240	1.1282252	3830.1692	65.127461	5.620441	1982-1999 –> 2000-2009	2.193016	1.0647912	7333.0949	137.425770	7	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	1240	1.2035628	3988.4773	54.782567	6.388402	1982-1999 –> 2000-2009	2.330984	1.1274211	7624.0583	115.913513	8	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + phosphate + phosphate_star	1240	1.3147511	4207.6130	64.557121	6.324554	1982-1999 –> 2000-2009	2.572605	1.2578539	8101.1151	136.848777	9	18
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1240	1.3865855	4341.5413	42.275199	7.571206	1982-1999 –> 2000-2009	2.726119	1.3395338	8385.2703	73.942572	10	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1472	1.1259447	4538.5795	841.529447	4.483868	2000-2009 –> 2010-2019	2.005654	0.8797089	7751.6997	1496.516598	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + silicate	1472	1.1821330	4681.9465	123.218179	5.331195	2000-2009 –> 2010-2019	2.107931	0.9257981	8021.7082	199.252488	3	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	1472	1.1869119	4691.8237	120.365829	5.298594	2000-2009 –> 2010-2019	2.112726	0.9258139	8029.6278	181.566062	4	7
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + silicate + phosphate	1472	1.1619205	4631.1736	128.251186	5.250216	2000-2009 –> 2010-2019	2.119911	0.9579901	8055.7049	210.745619	2	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	1472	1.2536583	4852.8931	109.226207	5.269704	2000-2009 –> 2010-2019	2.377155	1.1234967	8670.6464	161.892532	5	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1472	1.2739780	4902.2278	99.248740	5.357796	2000-2009 –> 2010-2019	2.402203	1.1282252	8732.3970	164.376202	6	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1472	1.3288225	5026.3143	89.909588	5.855171	2000-2009 –> 2010-2019	2.456832	1.1280092	8856.0085	148.698918	8	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	1472	1.3469769	5064.2629	88.422304	5.894294	2000-2009 –> 2010-2019	2.550540	1.2035628	9052.7403	143.204871	9	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + phosphate + phosphate_star	1472	1.3883610	5153.3518	99.200218	5.583224	2000-2009 –> 2010-2019	2.703112	1.3147511	9360.9648	163.757339	10	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + silicate + phosphate	1472	1.3119455	4986.6838	42.648629	5.000975	2000-2009 –> 2010-2019	2.706205	1.3942593	9339.9124	82.191590	7	18
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 ~ sal + aou + nitrate + silicate + phosphate_star	2158	0.7684372	5001.3194	753.187263	4.684694	1982-1999 –> 2000-2009	1.310042	0.5416047	8333.2731	1153.531853	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2158	0.8937335	5651.2465	608.413354	5.271619	1982-1999 –> 2000-2009	1.503743	0.6100100	9470.9904	932.256326	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2158	0.9816287	6056.1110	983.423846	6.368667	1982-1999 –> 2000-2009	1.621383	0.6397540	10071.9061	1546.161480	5	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	2158	0.9933926	6107.5264	145.893064	8.174094	1982-1999 –> 2000-2009	1.650678	0.6572852	10234.6489	268.149272	6	11
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	2158	0.9934035	6105.5739	69.946139	8.213641	1982-1999 –> 2000-2009	1.650709	0.6573052	10230.8216	154.539007	7	13
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	4	11
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	2158	1.0132058	6190.7618	901.580512	7.952617	1982-1999 –> 2000-2009	2.034253	1.0210468	12129.7218	1738.346027	8	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + silicate	2158	1.1681742	6805.0265	20.374123	19.977211	1982-1999 –> 2000-2009	2.127469	0.9592949	12487.0848	61.229520	11	19
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate	2158	1.1689254	6807.8010	238.383514	19.607525	1982-1999 –> 2000-2009	2.161265	0.9923393	12629.3218	449.727916	12	21
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2865	0.6843511	5971.2195	868.687082	3.627171	2000-2009 –> 2010-2019	1.452788	0.7684372	10972.5389	1621.874345	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2865	0.8071450	6914.8541	708.987722	4.660287	2000-2009 –> 2010-2019	1.700879	0.8937335	12566.1006	1317.401076	2	4
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	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	2865	0.9208451	7670.0023	231.480605	5.516637	2000-2009 –> 2010-2019	1.914238	0.9933926	13777.5287	377.373669	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	2865	0.9223834	7677.5662	139.240459	5.507822	2000-2009 –> 2010-2019	1.915787	0.9934035	13783.1401	209.186598	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2865	1.0588582	8470.2234	74.839724	4.176901	2000-2009 –> 2010-2019	2.223861	1.1650032	15265.5183	140.506694	6	13
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	2865	1.0617998	8484.1195	50.599511	4.017793	2000-2009 –> 2010-2019	2.235089	1.1732890	15308.0019	84.658432	7	17
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + silicate	2865	1.0950852	8660.9860	38.996813	4.459782	2000-2009 –> 2010-2019	2.263259	1.1681742	15466.0125	59.370936	11	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	2865	1.1360900	8873.6232	212.131845	4.883049	2000-2009 –> 2010-2019	2.287052	1.1509621	15616.5839	353.848970	17	23
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate	2865	1.1266742	8823.9355	238.606575	4.824762	2000-2009 –> 2010-2019	2.295600	1.1689254	15631.7366	476.990089	15	24
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2645	0.7730614	6158.5558	182.210748	4.527328	1982-1999 –> 2000-2009	1.283910	0.5108485	11321.1517	390.453314	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	2645	0.7849151	6237.0539	31.514534	4.436857	1982-1999 –> 2000-2009	1.305768	0.5208532	11531.2830	62.561578	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2645	0.8220656	6481.6884	89.984366	4.355005	1982-1999 –> 2000-2009	1.351112	0.5290467	11883.4591	184.094890	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2645	0.8265027	6510.1645	305.688815	4.383857	1982-1999 –> 2000-2009	1.356357	0.5298542	11922.4436	512.122074	4	8
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	2645	0.8586742	6710.1703	10.085041	4.418741	1982-1999 –> 2000-2009	1.390687	0.5320128	12148.4619	29.663818	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2645	0.9186939	7069.5806	569.889602	4.577446	1982-1999 –> 2000-2009	1.615643	0.6969489	14370.4795	801.566297	6	12
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	7	14
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2645	0.9694149	7355.8639	260.045988	4.398523	1982-1999 –> 2000-2009	1.781246	0.8118309	15710.0387	668.581450	8	17
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	15	23
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	2645	0.9934127	7483.2230	35.530423	4.272454	1982-1999 –> 2000-2009	1.821516	0.8281028	15972.1318	75.448439	11	21
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4656	0.6559939	9301.1807	713.806088	4.113312	2000-2009 –> 2010-2019	1.429055	0.7730614	15459.7366	896.016837	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	4656	0.7045759	9964.4734	256.947569	3.907592	2000-2009 –> 2010-2019	1.489491	0.7849151	16201.5273	288.462104	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4656	0.7349020	10356.8914	713.369565	4.235827	2000-2009 –> 2010-2019	1.556968	0.8220656	16838.5797	803.353931	4	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4656	0.7386147	10403.8162	857.419245	4.161764	2000-2009 –> 2010-2019	1.565117	0.8265027	16913.9807	1163.108060	5	9
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + nitrate	4656	0.7396939	10415.4119	16.169105	4.107700	2000-2009 –> 2010-2019	1.598368	0.8586742	17125.5822	26.254145	6	11
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	3	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4656	0.8229166	11410.2429	749.734160	3.982222	2000-2009 –> 2010-2019	1.741610	0.9186939	18479.8235	1319.623762	8	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	4656	0.8258867	11443.7917	74.465057	7.073797	2000-2009 –> 2010-2019	1.818502	0.9926158	18922.7692	104.096573	9	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + nitrate + phosphate_star	4656	0.8617049	11837.1350	27.540407	4.407521	2000-2009 –> 2010-2019	1.889190	1.0274846	19496.7514	40.948627	11	21
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	4656	0.9007828	12252.1341	253.134830	8.011434	2000-2009 –> 2010-2019	1.894195	0.9934127	19735.3570	288.665253	14	23
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2477	5.4475314	15441.2568	111.128683	26.769121	1982-1999 –> 2000-2009	10.677386	5.2298545	23556.5335	210.056945	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2477	5.6051774	15582.5852	111.011919	17.889364	1982-1999 –> 2000-2009	10.928821	5.3236437	23744.7156	216.318316	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2477	5.8439403	15787.2392	110.893808	19.914648	1982-1999 –> 2000-2009	11.293985	5.4500451	24009.2258	209.788502	3	6
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	4	8
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	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2477	8.9644495	17906.8647	81.817385	37.668968	1982-1999 –> 2000-2009	22.155358	13.1909084	28458.8221	180.687337	6	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	2477	9.2347612	18052.0384	81.651700	33.777003	1982-1999 –> 2000-2009	22.429145	13.1943837	28602.6902	180.499636	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2477	11.6670714	19214.2624	15.951481	51.163340	1982-1999 –> 2000-2009	25.452767	13.7856952	29884.4769	29.964204	10	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2477	11.5767411	19175.7576	15.141172	54.810507	1982-1999 –> 2000-2009	25.584312	14.0075711	29888.0599	27.743453	8	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2477	11.6726760	19214.6416	14.407334	50.786218	1982-1999 –> 2000-2009	25.618146	13.9454696	29913.2313	25.549674	11	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3664	5.2765778	22600.4809	157.229133	46.403224	2000-2009 –> 2010-2019	10.724109	5.4475314	38041.7377	268.357816	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3664	5.3869575	22752.1926	157.244661	35.515792	2000-2009 –> 2010-2019	10.992135	5.6051774	38334.7778	268.256579	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3664	5.5933854	23025.7544	157.184446	30.032277	2000-2009 –> 2010-2019	11.437326	5.8439403	38812.9937	268.078254	3	6
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	4	8
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	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3664	7.0721869	24744.7935	103.336878	35.020165	2000-2009 –> 2010-2019	16.036636	8.9644495	42651.6583	185.154263	6	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	3664	7.1770862	24850.6890	102.695069	36.883237	2000-2009 –> 2010-2019	16.411847	9.2347612	42902.7274	184.346769	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3664	8.9579934	26478.9605	16.742360	54.756168	2000-2009 –> 2010-2019	20.534734	11.5767411	45654.7181	31.883532	8	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3664	9.0169128	26525.0011	16.037395	55.843070	2000-2009 –> 2010-2019	20.635635	11.6187227	45716.6913	30.924189	10	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3664	8.9589033	26477.7048	15.958974	54.550325	2000-2009 –> 2010-2019	20.643776	11.6848724	45697.5199	31.043263	9	21
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2494	4.1841682	14231.0293	556.538554	16.840833	1982-1999 –> 2000-2009	7.816435	3.6322669	25594.8823	1275.397208	1	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2494	4.3887233	14469.1088	557.639527	15.304968	1982-1999 –> 2000-2009	7.990691	3.6019683	25797.8642	1298.441283	2	3
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	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2494	4.8187721	14933.3909	553.062729	19.248072	1982-1999 –> 2000-2009	8.926164	4.1073916	26810.3259	1266.330224	5	9
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	4	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2494	5.0355349	15152.8660	304.770020	15.741734	1982-1999 –> 2000-2009	9.333614	4.2980792	27219.9433	661.843742	6	11
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	2494	5.6819901	15753.3255	302.271043	19.055682	1982-1999 –> 2000-2009	10.587424	4.9054340	28372.2176	589.264167	7	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2494	6.6226961	16521.4922	45.453742	19.563937	1982-1999 –> 2000-2009	12.302300	5.6796035	29758.3778	92.775323	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	2494	6.7450736	16610.8217	44.595990	18.910936	1982-1999 –> 2000-2009	12.500933	5.7558598	29901.5893	88.862966	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2494	6.8726734	16704.3007	44.930594	22.212129	1982-1999 –> 2000-2009	12.806224	5.9335508	30122.4627	90.390086	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2876	3.6915001	15688.0357	558.001835	34.594533	2000-2009 –> 2010-2019	7.875668	4.1841682	29919.0650	1114.540389	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2876	4.2269243	16467.0964	515.407530	39.811134	2000-2009 –> 2010-2019	8.615648	4.3887233	30936.2052	1073.047057	4	6
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	2	5
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	3	7
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2876	4.7131276	17091.3575	515.190186	29.459135	2000-2009 –> 2010-2019	9.531900	4.8187721	32024.7484	1068.252915	5	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2876	5.0423266	17479.7089	339.707046	26.459648	2000-2009 –> 2010-2019	10.077861	5.0355349	32632.5749	644.477067	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	2876	5.8344854	18317.0319	329.278723	18.502420	2000-2009 –> 2010-2019	11.516476	5.6819901	34070.3575	631.549766	7	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2876	6.3838481	18838.6256	45.426461	24.213547	2000-2009 –> 2010-2019	13.006544	6.6226961	35360.1177	90.880204	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	2876	6.3855321	18838.1428	45.404134	24.340441	2000-2009 –> 2010-2019	13.130606	6.7450736	35448.9645	90.000124	9	18
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2876	6.6777102	19097.4891	13.357765	26.773326	2000-2009 –> 2010-2019	13.770130	7.0924194	35960.7788	24.426369	10	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]	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	3	5
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	2	5
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	2214	5.2150797	13606.1426	613.348929	16.268856	1982-1999 –> 2000-2009	8.802842	3.5877624	23819.5747	1149.841124	4	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2214	5.6839873	13991.3872	110.616940	20.106200	1982-1999 –> 2000-2009	9.674728	3.9907409	24611.6192	206.238040	5	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	2214	5.7920849	14072.8078	105.679564	22.486886	1982-1999 –> 2000-2009	9.888593	4.0965079	24790.0216	180.538190	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2214	5.9046778	14158.0582	108.879344	23.116053	1982-1999 –> 2000-2009	9.923749	4.0190709	24803.0576	203.372122	7	13
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	2214	6.1220580	14316.1456	105.140097	26.661243	1982-1999 –> 2000-2009	10.279077	4.1570185	25086.8450	177.052245	8	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2214	6.3482126	14480.7712	24.265014	30.427337	1982-1999 –> 2000-2009	10.959967	4.6117540	25648.2882	43.436592	9	22
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2214	6.3661493	14491.2647	21.490119	30.699184	1982-1999 –> 2000-2009	10.983372	4.6172227	25661.2663	35.616921	12	26
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]	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	2	4
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	3	6
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	2637	5.2002021	16188.7124	514.172493	17.272416	2000-2009 –> 2010-2019	10.415282	5.2150797	29794.8550	1127.521421	6	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2637	4.8597767	15835.6362	72.588113	20.764062	2000-2009 –> 2010-2019	10.543764	5.6839873	29827.0234	183.205053	4	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	2637	4.8675630	15842.0794	68.830241	20.303459	2000-2009 –> 2010-2019	10.659648	5.7920849	29914.8872	174.509805	5	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2637	5.3007418	16293.7057	11.971997	24.519676	2000-2009 –> 2010-2019	11.662013	6.3612714	30783.5763	29.984052	7	17
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2637	5.3324054	16325.1158	14.390771	24.530790	2000-2009 –> 2010-2019	11.680618	6.3482126	30805.8870	38.655785	8	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2637	5.3362254	16326.8927	10.028800	24.419094	2000-2009 –> 2010-2019	11.697775	6.3615500	30814.9572	25.567692	9	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2637	5.3401161	16330.7366	11.091653	23.622963	2000-2009 –> 2010-2019	11.748665	6.4085484	30851.3944	28.488673	10	23
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	1	2
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	2	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3284	4.4451962	19129.8884	694.114800	13.728402	1982-1999 –> 2000-2009	7.822362	3.3771661	31857.8340	1233.626066	3	6
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + phosphate + phosphate_star	3284	4.5343567	19258.3237	603.366053	13.193296	1982-1999 –> 2000-2009	7.982927	3.4485702	32085.2008	1059.542597	4	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3284	5.2244677	20192.8102	102.697152	17.886514	1982-1999 –> 2000-2009	9.562554	4.3380864	34130.6681	189.406842	5	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3284	5.2247504	20191.1657	102.657601	17.881102	1982-1999 –> 2000-2009	9.573104	4.3483540	34138.4277	188.398370	6	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	3284	5.4637835	20484.9817	97.430060	18.055528	1982-1999 –> 2000-2009	9.921769	4.4579857	34552.3597	174.117697	7	14
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	3284	5.4785581	20500.7182	96.681813	17.557882	1982-1999 –> 2000-2009	9.937214	4.4586558	34566.8211	173.277307	8	16
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3284	5.6828873	20745.2219	20.967110	18.777349	1982-1999 –> 2000-2009	10.651203	4.9683152	35337.4430	40.100626	9	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3284	5.6912843	20752.9195	20.351331	19.117611	1982-1999 –> 2000-2009	10.688503	4.9972185	35371.1231	39.416470	10	21
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3286	3.2115442	17001.9859	671.144445	17.429309	2000-2009 –> 2010-2019	7.155128	3.9435837	35347.4606	1460.080567	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3286	3.6982289	17927.0272	671.143707	19.652064	2000-2009 –> 2010-2019	7.646794	3.9485647	36278.7924	1424.706040	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3286	3.6498223	17840.4639	511.034344	13.158626	2000-2009 –> 2010-2019	8.095019	4.4451962	36970.3523	1205.149144	2	5
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + phosphate + phosphate_star	3286	4.7326162	19545.3476	464.444157	15.961330	2000-2009 –> 2010-2019	9.266973	4.5343567	38803.6713	1067.810210	4	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3286	4.9010766	19785.1616	75.033538	14.615802	2000-2009 –> 2010-2019	10.125544	5.2244677	39977.9718	177.730691	5	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	3286	4.9409606	19836.4269	67.654661	15.665599	2000-2009 –> 2010-2019	10.404744	5.4637835	40321.4085	165.084721	6	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3286	5.3971893	20416.8563	74.255516	15.988087	2000-2009 –> 2010-2019	10.621940	5.2247504	40608.0220	176.913116	7	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3286	5.4249894	20446.4009	13.921281	18.637536	2000-2009 –> 2010-2019	11.107877	5.6828873	41191.6228	34.888391	8	17
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	3286	5.6786557	20748.9519	67.557147	15.904066	2000-2009 –> 2010-2019	11.157214	5.4785581	41249.6701	164.238960	14	22
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3286	5.4253555	20444.8443	12.356752	18.527418	2000-2009 –> 2010-2019	11.213016	5.7876608	41308.0554	30.955845	9	20
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]	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	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4225	4.0081097	23733.3324	626.951406	11.896012	1982-1999 –> 2000-2009	7.136623	3.1285134	38063.1557	1280.846335	3	6
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	4225	4.0266905	23770.4144	536.430325	12.006108	1982-1999 –> 2000-2009	7.157814	3.1311240	38102.9037	992.115024	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4225	4.4092132	24541.2641	95.043429	16.479333	1982-1999 –> 2000-2009	8.241079	3.8318652	40007.5156	176.679212	5	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4225	4.7627359	25190.9789	93.554661	17.470046	1982-1999 –> 2000-2009	8.924581	4.1618451	41117.3330	172.615598	6	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	4225	4.8847201	25404.6769	92.452591	14.257324	1982-1999 –> 2000-2009	9.075274	4.1905538	41369.4862	170.711859	7	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	4225	5.0252840	25642.4032	91.910974	15.382652	1982-1999 –> 2000-2009	9.385890	4.3606062	41827.7317	170.149852	8	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4225	5.1009353	25772.6627	20.029539	18.859695	1982-1999 –> 2000-2009	9.793522	4.6925868	42372.4393	41.086735	9	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4225	5.3076949	26108.4126	19.455216	19.775243	1982-1999 –> 2000-2009	10.165175	4.8574804	42901.3828	40.025952	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	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4366	3.8306146	24129.4679	623.039489	14.326837	2000-2009 –> 2010-2019	7.838724	4.0081097	47862.8003	1249.990895	3	6
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	4366	3.8951859	24273.4332	513.646292	13.728964	2000-2009 –> 2010-2019	7.921876	4.0266905	48043.8477	1050.076617	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4366	4.4467599	25433.8497	83.371179	14.852151	2000-2009 –> 2010-2019	8.855973	4.4092132	49975.1138	178.414608	5	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4366	4.5012939	25538.2855	81.035863	16.333050	2000-2009 –> 2010-2019	9.264030	4.7627359	50729.2644	174.590524	6	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	4366	4.7968432	26093.5809	76.020728	18.628526	2000-2009 –> 2010-2019	9.681563	4.8847201	51498.2577	168.473319	7	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	4366	4.7969069	26091.6968	75.788752	18.594033	2000-2009 –> 2010-2019	9.822191	5.0252840	51734.1000	167.699726	8	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4366	5.0315718	26512.7468	14.980909	18.037716	2000-2009 –> 2010-2019	10.132507	5.1009353	52285.4094	35.010449	9	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4366	5.2014479	26802.6894	15.074410	18.944929	2000-2009 –> 2010-2019	10.509143	5.3076949	52911.1020	34.529626	13	23
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5451	3.0791762	27744.3341	81.767376	9.470226	1982-1999 –> 2000-2009	5.506132	2.4269558	46447.3351	158.636149	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5451	3.2323723	28273.6724	33.142451	9.799368	1982-1999 –> 2000-2009	5.799282	2.5669097	47431.1364	57.348699	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5451	3.2987774	28495.3708	35.691275	9.876024	1982-1999 –> 2000-2009	5.915953	2.6171757	47810.0346	61.957414	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	5451	3.5311861	29235.5998	80.774231	11.813325	1982-1999 –> 2000-2009	6.177695	2.6465087	48638.6094	150.753682	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	5451	3.5692958	29352.6272	27.860558	11.985206	1982-1999 –> 2000-2009	6.264113	2.6948171	48902.2667	47.101557	5	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	5451	3.6063756	29465.2992	31.646270	12.186319	1982-1999 –> 2000-2009	6.331880	2.7255048	49106.7256	53.994755	6	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	5451	4.0606952	30758.8312	69.827336	18.358114	1982-1999 –> 2000-2009	6.842290	2.7815952	50565.3842	116.061995	10	17
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5451	3.8616470	30210.8923	77.570050	15.426200	1982-1999 –> 2000-2009	6.948603	3.0869559	50861.7734	149.653704	7	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	5451	3.9801030	30538.2846	75.264003	16.638100	1982-1999 –> 2000-2009	7.085707	3.1056036	51235.9851	138.667441	8	20
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + silicate + phosphate	5451	4.2180925	31171.4214	69.789539	19.227772	1982-1999 –> 2000-2009	7.129788	2.9116959	51346.5087	115.834784	11	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5661	3.2369054	29378.2443	76.864237	9.828828	2000-2009 –> 2010-2019	6.316082	3.0791762	57122.5784	158.631613	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5661	3.3891601	29898.6531	29.765653	11.265274	2000-2009 –> 2010-2019	6.621532	3.2323723	58172.3255	62.908104	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5661	3.4610245	30136.2170	31.598549	11.734340	2000-2009 –> 2010-2019	6.759802	3.2987774	58631.5877	67.289824	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	5661	3.6036022	30591.2784	69.523319	11.842865	2000-2009 –> 2010-2019	7.134788	3.5311861	59826.8782	150.297550	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	5661	3.6447733	30719.8985	22.313345	11.077603	2000-2009 –> 2010-2019	7.214069	3.5692958	60072.5257	50.173903	5	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	5661	3.6811471	30832.3290	25.267341	11.664074	2000-2009 –> 2010-2019	7.287523	3.6063756	60297.6282	56.913611	6	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5661	3.8525913	31347.7241	68.175046	14.221448	2000-2009 –> 2010-2019	7.714238	3.8616470	61558.6164	145.745096	8	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	5661	3.7107678	30923.0679	71.639680	17.911651	2000-2009 –> 2010-2019	7.771463	4.0606952	61681.8991	141.467015	7	17
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	5661	3.9142241	31525.4171	62.578384	15.120801	2000-2009 –> 2010-2019	7.894327	3.9801030	62063.7017	137.842386	9	17
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + silicate + phosphate	5661	3.9383467	31594.9784	65.951422	17.116472	2000-2009 –> 2010-2019	8.156439	4.2180925	62766.3997	135.740961	11	22
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6462	2.9222536	32211.4791	135.485087	9.416565	1982-1999 –> 2000-2009	5.180840	2.2585859	51828.2322	261.153351	3	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6462	2.9178380	32191.9358	45.341925	9.662586	1982-1999 –> 2000-2009	5.261024	2.3431861	52131.4059	75.634396	1	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6462	2.9221262	32210.9154	48.061139	9.686089	1982-1999 –> 2000-2009	5.274214	2.3520874	52183.6609	84.411356	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6462	3.0401018	32720.4409	31.021025	13.730293	1982-1999 –> 2000-2009	5.414079	2.3739770	52772.4820	52.568931	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6462	3.0425856	32730.9955	39.483650	10.171247	1982-1999 –> 2000-2009	5.486154	2.4435688	53036.6015	66.255649	5	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6462	3.0534007	32776.8535	34.213897	10.087116	1982-1999 –> 2000-2009	5.487595	2.4341943	53048.7266	57.413771	6	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	6462	3.1126653	33025.2971	135.439696	10.014491	1982-1999 –> 2000-2009	5.519842	2.4071769	53199.2198	255.923957	7	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6462	3.2289954	33499.5006	122.506973	9.929316	1982-1999 –> 2000-2009	5.715596	2.4866001	53958.3072	242.578346	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	6462	3.2639574	33636.6831	114.792930	10.311922	1982-1999 –> 2000-2009	5.785522	2.5215643	54216.0298	221.247215	9	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + silicate + phosphate_star	6462	3.3454817	33955.5222	2.142209	11.194699	1982-1999 –> 2000-2009	5.907788	2.5623064	54675.5335	5.644318	15	25
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6267	3.2708812	32652.5103	120.712059	12.525084	2000-2009 –> 2010-2019	6.193135	2.9222536	64863.9894	256.197146	1	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6267	3.2962112	32749.2011	39.762818	11.718004	2000-2009 –> 2010-2019	6.214049	2.9178380	64941.1368	85.104744	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6267	3.3065967	32788.6303	42.570252	11.500133	2000-2009 –> 2010-2019	6.228723	2.9221262	64999.5457	90.631392	3	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6267	3.3804602	33063.5363	30.768968	12.800000	2000-2009 –> 2010-2019	6.423046	3.0425856	65794.5318	70.252618	4	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6267	3.3826595	33071.6879	26.010478	13.196925	2000-2009 –> 2010-2019	6.436060	3.0534007	65848.5414	60.224375	5	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	6267	3.3986936	33130.9599	105.476974	14.202326	2000-2009 –> 2010-2019	6.511359	3.1126653	66156.2571	240.916670	6	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6267	3.5131782	33546.2112	17.891961	13.294444	2000-2009 –> 2010-2019	6.553280	3.0401018	66266.6521	48.912985	9	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6267	3.4911282	33467.2950	91.424830	14.605463	2000-2009 –> 2010-2019	6.720124	3.2289954	66966.7956	213.931803	7	15
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	6267	3.5018014	33503.5562	81.273215	14.885377	2000-2009 –> 2010-2019	6.765759	3.2639574	67140.2392	196.066144	8	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6267	3.5655613	33731.7190	10.727137	14.314390	2000-2009 –> 2010-2019	6.883785	3.3182238	67583.5092	38.197940	10	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2447	2.2954915	11024.9396	426.501789	8.959030	1982-1999 –> 2000-2009	4.254768	1.9592767	18309.0419	886.096485	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2447	2.3248202	11087.0725	126.918705	9.039622	1982-1999 –> 2000-2009	4.319695	1.9948749	18433.7635	253.415555	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2447	2.3401707	11119.2808	121.631465	9.206018	1982-1999 –> 2000-2009	4.364185	2.0240147	18516.3797	224.883529	5	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2447	2.3484557	11134.5766	125.270153	8.923608	1982-1999 –> 2000-2009	4.373159	2.0247038	18530.8588	251.029956	7	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2447	2.3255490	11086.6065	420.877578	8.221487	1982-1999 –> 2000-2009	4.387413	2.0618640	18546.1067	849.939278	3	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	2447	2.3329320	11102.1192	380.495166	8.858681	1982-1999 –> 2000-2009	4.438634	2.1057016	18634.7484	782.948025	4	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2447	2.3592371	11156.9929	58.560487	9.502045	1982-1999 –> 2000-2009	4.440752	2.0815147	18649.4644	97.704928	9	15
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2447	2.3576881	11153.7786	112.737369	8.251625	1982-1999 –> 2000-2009	4.473088	2.1153997	18702.3803	222.743685	8	17
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	2447	2.3434332	11122.0989	348.621092	8.401935	1982-1999 –> 2000-2009	4.494141	2.1507083	18726.2404	686.127671	6	24
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	2447	2.3923646	11225.2344	112.339143	9.316032	1982-1999 –> 2000-2009	4.494160	2.1017950	18751.4089	202.458108	18	25
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2436	2.7021798	11770.1229	409.269707	10.785264	2000-2009 –> 2010-2019	4.997671	2.2954915	22795.0625	835.771497	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2436	2.7094180	11781.1559	408.206433	10.888567	2000-2009 –> 2010-2019	5.034967	2.3255490	22867.7624	829.084011	2	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2436	2.7378698	11834.0503	107.366093	10.306346	2000-2009 –> 2010-2019	5.062690	2.3248202	22921.1228	234.284798	3	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2436	2.7414026	11838.3328	106.265107	10.247888	2000-2009 –> 2010-2019	5.089858	2.3484557	22972.9094	231.535260	4	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	2436	2.7632774	11877.0543	361.590598	11.278042	2000-2009 –> 2010-2019	5.096209	2.3329320	22979.1735	742.085765	7	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2436	2.7436595	11842.3421	95.314130	10.400567	2000-2009 –> 2010-2019	5.101348	2.3576881	22996.1206	208.051499	5	13
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	2436	2.7635462	11875.5281	344.183174	11.270550	2000-2009 –> 2010-2019	5.106979	2.3434332	22997.6271	692.804267	8	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2436	2.7727654	11895.7542	102.748908	10.168954	2000-2009 –> 2010-2019	5.112936	2.3401707	23015.0351	224.380373	9	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2436	2.7454178	11843.4634	92.643690	10.344755	2000-2009 –> 2010-2019	5.118865	2.3734471	23027.8449	202.663631	6	19
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2436	2.7989148	11939.4857	48.371493	10.796838	2000-2009 –> 2010-2019	5.160015	2.3611006	23100.3426	106.837191	11	21
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2955	2.0179042	12549.0981	286.863868	7.403463	1982-1999 –> 2000-2009	3.711420	1.6935159	20108.6984	558.711321	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2955	2.0297042	12583.5570	477.743239	7.746899	1982-1999 –> 2000-2009	3.728600	1.6988962	20155.4581	945.056571	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	2955	2.0304730	12583.7950	217.238183	7.712604	1982-1999 –> 2000-2009	3.730330	1.6998569	20155.8886	451.379056	3	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2955	2.0869443	12747.9194	293.091204	8.000129	1982-1999 –> 2000-2009	3.861112	1.7741674	20487.9416	560.201173	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	2955	2.1088841	12807.7262	285.077228	7.834579	1982-1999 –> 2000-2009	3.936527	1.8276425	20660.9081	530.559223	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2955	2.1312118	12869.9690	271.863412	5.751394	1982-1999 –> 2000-2009	3.972676	1.8414644	20752.3686	535.616857	7	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2955	2.1547200	12934.8021	477.617770	6.115538	1982-1999 –> 2000-2009	4.004128	1.8494075	20833.8934	932.768477	9	16
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	2955	2.1551724	12934.0427	198.390658	6.090045	1982-1999 –> 2000-2009	4.007924	1.8527514	20838.1394	426.917492	10	18
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	2955	2.1235331	12848.6369	369.807163	7.800291	1982-1999 –> 2000-2009	4.011116	1.8875826	20826.9621	808.268263	6	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2955	2.1510138	12924.6279	57.264113	8.447398	1982-1999 –> 2000-2009	4.061905	1.9108915	20950.5476	103.640860	8	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2992	2.1029405	12953.0544	287.622035	8.496470	2000-2009 –> 2010-2019	4.120845	2.0179042	25502.1525	574.485903	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2992	2.1985403	13219.0853	468.804222	7.284448	2000-2009 –> 2010-2019	4.228244	2.0297042	25802.6423	946.547460	3	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	2992	2.2225547	13282.0934	245.277239	7.403299	2000-2009 –> 2010-2019	4.253028	2.0304730	25865.8884	462.515422	4	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2992	2.1298434	13027.1220	272.167937	8.822822	2000-2009 –> 2010-2019	4.261055	2.1312118	25897.0910	544.031349	2	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2992	2.2252842	13291.4379	298.508423	7.381709	2000-2009 –> 2010-2019	4.312228	2.0869443	26039.3572	591.599626	5	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	2992	2.2255544	13290.1644	273.947504	7.394652	2000-2009 –> 2010-2019	4.334439	2.1088841	26097.8906	559.024732	6	11
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2992	2.2517689	13360.2372	459.789814	6.982341	2000-2009 –> 2010-2019	4.406489	2.1547200	26295.0393	937.407583	7	16
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	2992	2.2865263	13449.8983	201.933284	7.604583	2000-2009 –> 2010-2019	4.441699	2.1551724	26383.9410	400.323941	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	2992	2.3456047	13604.5470	385.943190	7.401428	2000-2009 –> 2010-2019	4.469138	2.1235331	26453.1839	755.750353	15	21
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2992	2.3152794	13526.6780	51.769892	7.375576	2000-2009 –> 2010-2019	4.476109	2.1608294	26478.2133	107.370523	11	23
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3273	1.9324411	13614.7719	681.835545	7.055695	1982-1999 –> 2000-2009	3.623594	1.6911533	22619.4430	1014.604519	1	3
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3273	1.9695933	13739.4277	974.958532	6.899052	1982-1999 –> 2000-2009	3.647958	1.6783643	22708.9977	1385.331762	2	3
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	3273	1.9724517	13746.9209	271.241745	7.058329	1982-1999 –> 2000-2009	3.666777	1.6943257	22758.2578	503.398811	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	3273	1.9994380	13835.8735	331.369780	6.834757	1982-1999 –> 2000-2009	3.782805	1.7833667	23084.0431	635.803790	4	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3273	2.0532555	14011.7381	803.587605	7.852053	1982-1999 –> 2000-2009	3.853050	1.7997943	23304.3069	1134.894127	5	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	3273	2.0703971	14064.1604	57.062188	7.703119	1982-1999 –> 2000-2009	3.915676	1.8452792	23470.1361	99.961539	7	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3273	2.0703763	14064.0946	651.853901	7.568375	1982-1999 –> 2000-2009	3.929543	1.8591668	23504.7404	961.246690	6	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	3273	2.0837233	14106.1590	790.205256	8.227070	1982-1999 –> 2000-2009	3.947483	1.8637601	23558.2146	1078.729422	9	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3273	2.0782891	14089.0652	54.852378	7.773980	1982-1999 –> 2000-2009	3.952044	1.8737552	23565.8525	102.383356	8	18
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3273	2.0850520	14110.3319	60.499278	7.970426	1982-1999 –> 2000-2009	3.968531	1.8834786	23611.0524	113.776351	10	23
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4401	1.6673768	17003.5336	991.464854	4.965394	2000-2009 –> 2010-2019	3.599818	1.9324411	30618.3055	1673.300399	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	4401	1.8535962	17933.4543	557.266807	8.712281	2000-2009 –> 2010-2019	3.826048	1.9724517	31680.3752	828.508553	3	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4401	1.7813779	17583.6590	991.087618	5.252449	2000-2009 –> 2010-2019	3.851754	2.0703763	31647.7536	1642.941519	2	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	4401	1.9397590	18333.3830	547.118579	7.755955	2000-2009 –> 2010-2019	3.939197	1.9994380	32169.2566	878.488359	9	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	4401	1.9288780	18283.8697	99.440862	6.632204	2000-2009 –> 2010-2019	3.999275	2.0703971	32348.0301	156.503050	4	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	4401	1.9360861	18316.7007	82.949771	6.351486	2000-2009 –> 2010-2019	4.014375	2.0782891	32405.7659	137.802149	7	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	4401	1.9306344	18291.8808	97.257544	6.052845	2000-2009 –> 2010-2019	4.015686	2.0850520	32402.2127	157.756823	5	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + silicate + phosphate_star	4401	1.9360872	18314.7056	13.250552	6.354586	2000-2009 –> 2010-2019	4.021191	2.0851034	32423.1987	20.066367	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + silicate	4401	1.9335082	18302.9732	85.718145	7.068235	2000-2009 –> 2010-2019	4.029164	2.0956559	32444.5114	141.426077	6	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + silicate + phosphate	4401	1.9450142	18355.1972	78.047615	7.204203	2000-2009 –> 2010-2019	4.047215	2.1022009	32517.1475	132.899932	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1902	1.6682909	7358.5283	886.493890	5.865687	1982-1999 –> 2000-2009	3.161724	1.4934332	12650.5751	1400.219919	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate	1902	1.6684287	7356.8424	436.979936	5.862131	1982-1999 –> 2000-2009	3.181009	1.5125804	12683.8337	810.265633	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1902	1.8085627	7663.6356	803.595268	6.275555	1982-1999 –> 2000-2009	3.433869	1.6253065	13199.0771	1303.322853	4	7
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	1902	1.8168371	7678.9996	387.477405	6.279590	1982-1999 –> 2000-2009	3.454961	1.6381238	13235.2209	677.642556	5	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	1902	1.7954712	7635.9998	501.781176	7.185094	1982-1999 –> 2000-2009	3.465743	1.6702716	13250.5817	984.726919	3	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1902	1.8192994	7686.1517	100.904772	6.806758	1982-1999 –> 2000-2009	3.497984	1.6786847	13315.3041	205.110743	6	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1902	1.8275736	7703.4130	70.902827	6.954609	1982-1999 –> 2000-2009	3.509814	1.6822400	13338.7009	148.278805	7	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1902	1.8362263	7721.3807	103.853847	7.045990	1982-1999 –> 2000-2009	3.543346	1.7071194	13399.2438	214.046467	8	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + silicate + phosphate_star	1902	1.8371782	7721.3523	9.412494	7.087748	1982-1999 –> 2000-2009	3.547523	1.7103446	13402.6891	15.421748	9	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	1902	1.8556508	7761.4100	858.213026	6.890415	1982-1999 –> 2000-2009	3.591699	1.7360479	13488.0042	1240.293620	10	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate	2493	1.6958645	9720.3961	527.809270	9.192947	2000-2009 –> 2010-2019	3.364293	1.6684287	17077.2386	964.789205	3	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	2493	1.6704674	9645.1615	585.080656	8.554019	2000-2009 –> 2010-2019	3.465939	1.7954712	17281.1613	1086.861832	1	3
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2493	1.6930750	9712.1880	895.783468	7.264726	2000-2009 –> 2010-2019	3.561758	1.8686835	17500.2210	1577.425266	2	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2493	1.7582104	9900.4096	179.797957	6.869683	2000-2009 –> 2010-2019	3.577510	1.8192994	17586.5613	280.702729	6	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2493	1.7511869	9880.4524	133.730027	6.842687	2000-2009 –> 2010-2019	3.578761	1.8275736	17583.8654	204.632854	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2493	1.7872051	9981.9635	192.167449	7.520616	2000-2009 –> 2010-2019	3.623432	1.8362263	17703.3443	296.021296	9	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + silicate + phosphate_star	2493	1.7884039	9983.3067	15.032337	7.649413	2000-2009 –> 2010-2019	3.625582	1.8371782	17704.6590	24.444832	10	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	2493	1.8127331	10050.6784	501.770215	10.334392	2000-2009 –> 2010-2019	3.629570	1.8168371	17729.6780	889.247620	13	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2493	1.7759862	9948.5659	527.212913	10.284494	2000-2009 –> 2010-2019	3.645331	1.8693446	17735.9444	908.532421	8	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + silicate + phosphate	2493	1.7590323	9900.7400	162.694155	6.497804	2000-2009 –> 2010-2019	3.651980	1.8929479	17735.8490	241.896800	7	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4783	1.4220238	16955.5737	487.062046	5.389166	1982-1999 –> 2000-2009	2.768628	1.3466038	29057.3376	777.933320	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4783	1.4771844	17319.6243	386.443645	5.952631	1982-1999 –> 2000-2009	2.920250	1.4430661	29908.5843	655.776562	2	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	4783	1.4882175	17388.8074	386.140648	6.250726	1982-1999 –> 2000-2009	2.975106	1.4868880	30186.4309	605.645236	3	7
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	4783	1.5734431	17921.5114	196.535002	6.542336	1982-1999 –> 2000-2009	2.979594	1.4061510	30325.9859	345.329456	4	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	4783	1.6535908	18396.7780	36.152787	6.816626	1982-1999 –> 2000-2009	3.213050	1.5594592	31529.9789	68.377944	5	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4783	1.7063572	18699.2613	493.842498	7.149197	1982-1999 –> 2000-2009	3.342523	1.6361657	32172.5942	815.305510	7	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	4783	1.7481325	18928.6367	358.001740	6.093219	1982-1999 –> 2000-2009	3.353182	1.6050495	32264.7566	487.327228	9	15
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + silicate + phosphate	4783	1.6685893	18481.1525	32.025094	7.199773	1982-1999 –> 2000-2009	3.369288	1.7006990	32222.8969	63.204891	6	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	4783	1.7243478	18797.5906	39.090836	7.205292	1982-1999 –> 2000-2009	3.374407	1.6500595	32328.4692	75.718778	8	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	4783	1.8250283	19340.4286	484.235610	7.306556	1982-1999 –> 2000-2009	3.455954	1.6309261	32789.1739	711.218343	14	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5415	1.3452727	18593.2467	556.379336	5.488828	2000-2009 –> 2010-2019	2.767297	1.4220238	35548.8205	1043.441383	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5415	1.3663328	18761.4759	475.299032	4.816266	2000-2009 –> 2010-2019	2.843517	1.4771844	36081.1002	861.742677	3	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	5415	1.3663481	18759.5978	442.043951	4.811849	2000-2009 –> 2010-2019	2.854566	1.4882175	36148.4052	828.184599	4	7
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	5415	1.3612055	18718.7591	319.018003	6.775660	2000-2009 –> 2010-2019	2.934649	1.5734431	36640.2705	515.553005	2	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	5415	1.3971546	19001.0653	53.642123	6.535491	2000-2009 –> 2010-2019	3.050746	1.6535908	37397.8433	89.794910	5	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + silicate + phosphate	5415	1.3998465	19019.9113	43.286341	6.319601	2000-2009 –> 2010-2019	3.068436	1.6685893	37501.0638	75.311435	6	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5415	1.4547809	19440.7876	565.699973	6.777611	2000-2009 –> 2010-2019	3.161138	1.7063572	38140.0490	1059.542471	7	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	5415	1.4552421	19442.2200	58.877900	6.539100	2000-2009 –> 2010-2019	3.179590	1.7243478	38239.8105	97.968736	8	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	5415	1.4650890	19515.2544	62.606129	7.697092	2000-2009 –> 2010-2019	3.222312	1.7572234	38493.5087	97.410607	9	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	5415	1.4685358	19540.7037	284.928692	7.160529	2000-2009 –> 2010-2019	3.237411	1.7688755	38582.1806	428.046971	10	21
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	10984	0.6165560	20561.3824	271.022220	2.833518	1982-1999 –> 2000-2009	1.450693	0.8341372	40500.4384	386.539225	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	10984	0.6632391	22164.7491	207.613646	3.096512	1982-1999 –> 2000-2009	1.577650	0.9144112	43583.1128	302.808353	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	10984	0.7507686	24885.9430	207.540983	4.729295	1982-1999 –> 2000-2009	1.724352	0.9735829	47311.8189	287.931464	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate	10984	0.8556806	27759.3518	124.123125	5.958520	1982-1999 –> 2000-2009	1.878982	1.0233018	50987.1167	222.587030	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	14
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	10984	0.8391798	27333.5848	239.918864	5.967578	1982-1999 –> 2000-2009	1.950547	1.1113673	51892.5109	352.362593	4	13
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	7	13
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	10984	0.9480899	30012.2167	270.129883	8.430672	1982-1999 –> 2000-2009	1.991035	1.0429449	53546.1052	385.366168	9	14
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ nitrate + silicate + phosphate	10984	0.9497297	30048.1795	175.850070	8.895855	1982-1999 –> 2000-2009	1.996105	1.0463751	53632.9338	229.577269	10	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	10984	0.9411147	29849.9973	15.010335	7.136022	1982-1999 –> 2000-2009	2.128997	1.1878821	55478.8763	29.026297	8	18
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	14697	0.6772848	30268.5124	232.548994	5.235062	2000-2009 –> 2010-2019	1.293841	0.6165560	50829.8948	503.571214	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	14697	0.6959523	31067.7146	150.521775	4.744363	2000-2009 –> 2010-2019	1.359192	0.6632391	53232.4637	358.135422	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	14697	0.7004532	31255.2000	144.567449	4.362714	2000-2009 –> 2010-2019	1.451222	0.7507686	56141.1430	352.108432	3	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	14697	0.8010456	35201.5891	173.788328	5.164595	2000-2009 –> 2010-2019	1.640225	0.8391798	62535.1739	413.707192	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate	14697	0.8133280	35646.8682	187.301858	5.907737	2000-2009 –> 2010-2019	1.669009	0.8556806	63406.2200	311.424982	5	10
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	13	19
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	14697	0.8759397	37826.8066	16.810061	6.915042	2000-2009 –> 2010-2019	1.817054	0.9411147	67676.8039	31.820396	6	14
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	8	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	14697	0.8955080	38476.2369	16.640622	6.986607	2000-2009 –> 2010-2019	1.856362	0.9608539	68782.2315	31.484790	7	18
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	14697	0.9303929	39599.5522	18.250426	6.783341	2000-2009 –> 2010-2019	1.918399	0.9880063	70517.7232	32.283050	11	23
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5168	1.2818335	17246.4895	320.114959	4.452828	1982-1999 –> 2000-2009	2.281566	0.9997322	31302.4922	740.697345	2	3
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5168	1.2842757	17266.1628	414.270744	4.458806	1982-1999 –> 2000-2009	2.324681	1.0404051	31716.8780	991.019946	7	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5168	1.2814235	17243.1826	386.994209	4.403685	1982-1999 –> 2000-2009	2.341799	1.0603759	31882.0912	919.136461	1	4
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	5168	1.2819834	17245.6980	46.133547	4.506583	1982-1999 –> 2000-2009	2.379947	1.0979638	32227.3928	73.979376	3	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	5168	1.2867182	17283.8022	317.251082	4.583710	1982-1999 –> 2000-2009	2.380159	1.0934407	32224.6379	560.345229	11	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5168	1.2820611	17248.3241	353.085983	4.297720	1982-1999 –> 2000-2009	2.391252	1.1091905	32332.7124	867.282792	4	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5168	1.2920390	17328.4554	328.454749	4.769913	1982-1999 –> 2000-2009	2.401453	1.1094141	32414.8384	844.345869	14	21
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	5168	1.2820685	17246.3843	48.826528	4.299653	1982-1999 –> 2000-2009	2.414709	1.1326407	32535.8516	58.254199	5	14
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	5168	1.2943708	17345.0924	73.379324	4.735383	1982-1999 –> 2000-2009	2.427685	1.1333143	32640.4446	94.772266	16	26
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5168	1.2846072	17266.8307	234.099676	4.373743	1982-1999 –> 2000-2009	2.430591	1.1459843	32672.2248	297.360352	8	21
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6286	1.4238108	22295.0471	502.256445	7.304933	2000-2009 –> 2010-2019	2.705872	1.2820611	39543.3712	855.342428	2	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6286	1.4315306	22363.0273	489.632759	7.159557	2000-2009 –> 2010-2019	2.712954	1.2814235	39606.2099	876.626968	4	5
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6286	1.4315726	22361.3965	27.719194	7.175290	2000-2009 –> 2010-2019	2.713641	1.2820685	39607.7808	76.545722	5	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6286	1.4227076	22285.3023	479.526368	7.236019	2000-2009 –> 2010-2019	2.714747	1.2920390	39613.7576	807.981117	1	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6286	1.4415785	22450.9623	420.842127	6.816022	2000-2009 –> 2010-2019	2.723412	1.2818335	39697.4518	740.957086	14	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6286	1.4416032	22449.1775	30.906574	6.824247	2000-2009 –> 2010-2019	2.723587	1.2819834	39694.8755	77.040121	15	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	6286	1.4320190	22365.3164	47.161092	7.142846	2000-2009 –> 2010-2019	2.726390	1.2943708	39710.4088	120.540416	6	22
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	7	26
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	8	29
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	6286	1.4462703	22489.8126	76.373437	6.769315	2000-2009 –> 2010-2019	2.738394	1.2921237	39816.9451	148.112008	18	33

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	5.271105	834.0185
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	3.762472	719.2058
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	8.424238	3627.4037
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	8.507748	3445.0273
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.081815	4603.0907
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.700676	4733.3487
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	5.107424	7934.8073
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	5.892119	7402.9953
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	4.438538	10101.4166
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	4.939566	10475.7314
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	6.846987	19516.9519
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.569361	20734.2034
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.997300	32839.4031
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.877514	33541.0038
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.773739	9011.9961
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	3.221965	10468.6238
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	4.049213	11125.4288
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	4.595079	12213.9887
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.745551	17305.1236
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.732247	17310.5155
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	2.254771	5234.3616
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	2.726346	6164.7853
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.104477	7062.6837
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.354227	8587.1410
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.686698	10324.0231
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	2.003567	14121.9717
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.536535	13492.7746
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.665918	17653.0623
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	19.103020	27281.1019
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	15.727346	42143.7999
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	9.983145	27688.8862
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	10.510938	32853.3848
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	9.324173	24217.7275
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	10.278719	29442.6786
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	8.988274	33280.9701
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	9.679425	39205.7027
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.120771	39535.1978
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	8.556933	49008.4271
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.400144	49234.5759
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.287026	60219.4141
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.503265	53105.0199
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.492932	66056.1198
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	4.404000	18580.0393
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	5.088154	22967.3001
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.902574	20577.0806
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	4.330327	26081.5400
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.828746	23218.5044
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.934372	32065.6557
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	3.438767	13196.3231
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	3.572416	17563.8522
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	3.175198	31278.6208
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	3.031966	37277.3052
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.860605	50205.0625
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.665250	62959.0014
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.377384	32194.9564
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.723307	39688.6789

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
68bce3f	Donghe-Zhu	2021-07-30
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
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6f28c0c	Donghe-Zhu	2021-07-20
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cb1c8dc	Donghe-Zhu	2021-07-04
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256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
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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
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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
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75dda4d	Donghe-Zhu	2021-03-27
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d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
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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
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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
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dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
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02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
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112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
68bce3f	Donghe-Zhu	2021-07-30
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	sal	silicate
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	7	10	8	7	7
(26,26.5]	8	7	10	6	6	8
(26.5,26.75]	9	7	7	7	7	7
(26.75,27]	7	6	7	8	7	9
(27,27.25]	8	7	7	7	9	8
(27.25,27.5]	10	6	7	5	8	6
(27.5,27.75]	10	4	6	6	8	5
(27.75,27.85]	6	2	6	7	8	7
(27.85,27.95]	7	4	5	7	9	7
(27.95,28.05]	6	3	7	7	8	6
(28.05,28.1]	6	4	4	6	10	5
(28.1,28.15]	6	5	4	6	10	5
(28.15,28.2]	10	9	4	5	5	4
(28.2, Inf]	9	8	5	6	8	5
total	108.00	79.00	89.00	91.00	110.00	89.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	7	10	6	8	7
(26,26.5]	10	7	7	7	7	7
(26.5,26.75]	9	7	7	7	7	7
(26.75,27]	7	6	7	7	8	9
(27,27.25]	7	6	6	7	10	9
(27.25,27.5]	8	7	6	6	10	7
(27.5,27.75]	7	5	8	6	10	6
(27.75,27.85]	6	3	5	7	9	7
(27.85,27.95]	7	4	5	7	9	7
(27.95,28.05]	7	3	6	7	8	6
(28.05,28.1]	5	5	5	5	9	5
(28.1,28.15]	5	5	5	5	10	5
(28.15,28.2]	8	9	2	5	7	6
(28.2, Inf]	7	9	3	6	9	5
total	100.00	83.00	82.00	88.00	121.00	93.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	6	9	10	6	5
(26,26.5]	10	5	10	7	6	5
(26.5,26.75]	8	5	10	6	6	6
(26.75,27]	8	6	10	6	6	5
(27,27.25]	9	6	9	6	6	6
(27.25,27.5]	8	5	8	4	8	8
(27.5,27.75]	6	5	6	6	10	8
(27.75,27.85]	7	8	6	4	10	7
(27.85,27.95]	7	9	5	4	10	7
(27.95,28.05]	6	7	5	6	10	9
(28.05,28.1]	6	5	6	4	10	8
(28.1,28.2]	5	6	8	5	8	10
(28.2,28.3]	5	7	9	5	6	10
(28.3, Inf]	7	7	6	8	10	7
total	100.00	87.00	107.00	81.00	112.00	101.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	10	6	7	10	5	5
(26,26.5]	10	5	9	8	6	6
(26.5,26.75]	8	6	7	8	6	8
(26.75,27]	8	5	10	6	6	6
(27,27.25]	9	6	9	6	6	6
(27.25,27.5]	8	5	8	4	8	8
(27.5,27.75]	6	6	7	6	10	7
(27.75,27.85]	9	7	5	4	10	6
(27.85,27.95]	8	8	5	4	10	7
(27.95,28.05]	5	5	3	6	10	9
(28.05,28.1]	6	4	4	5	10	7
(28.1,28.2]	5	6	6	5	10	10
(28.2,28.3]	5	6	7	7	8	10
(28.3, Inf]	8	7	6	6	8	10
total	105.00	82.00	93.00	85.00	113.00	105.00

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
68bce3f	Donghe-Zhu	2021-07-30
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
68bce3f	Donghe-Zhu	2021-07-30
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