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Knit directory: Cant_eMLR/

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library(tidyverse)
library(lubridate)
library(patchwork)

1 Required data

Required are:

  • clean version of GLODAPGLODAPv2.2020
  • C_ant from GLODAPv2_2016b_MappedClimatologies
  • annual mean atmospheric pCO2
GLODAP <- read_csv(here::here("data/GLODAPv2_2020/_summarized_data_files",
                              "GLODAPv2.2020_clean.csv"))

Cant_clim <- read_csv(here::here("data/GLODAPv2_2016b_MappedClimatologies/_summarized_files",
                                 "Cant.csv"))

co2_atm <- read_csv(here::here("data/pCO2_atmosphere/_summarized_data_files",
                               "co2_atm.csv"))

2 C*

2.1 Stoichiometric ratios

rCP <- 117
rNP <- 16

The stoichiometric nutrient ratios for the production and mineralization of organic matter were set to:

  • C/P: 117
  • N/P: 16

2.2 Calculation

GLODAP <- GLODAP %>% 
  mutate(rCP_phosphate = - rCP * phosphate,
         talk_05 = - 0.5 * talk,
         rNP_phosphate_05 = - 0.5 * rNP * phosphate,
         Cstar = tco2 + rCP_phosphate + talk_05 + rNP_phosphate_05)

3 Reference year adjustment

The scaling factor for the reference year adjustment is an apriori estiamte of Cant at a given location and depth. Here, Cant from the GLODAP mapped Climatology was used.

Note that eq. 6 in Clement and Gruber (2018) misses pCO2 pre-industrial in the denominator. Here we use the equation published in Gruber et al. (2019).

3.1 Merge GLODAP data set with…

3.1.1 … Cant

Cant_clim <- Cant_clim %>% 
  drop_na()

GLODAP_Cant_full <- full_join(GLODAP, Cant_clim)

The mapped Cant product was merged with GLODAP observation by:

  • using an identical 1x1° horizontal grid
  • linear interpolation of Cant from standard to sampling depth
GLODAP_Cant_observations_available <- GLODAP_Cant_full %>% 
  group_by(lat, lon) %>% 
  mutate(n_GLODAP = sum(!is.na(Cstar))) %>% 
  ungroup() %>% 
  filter(n_GLODAP > 0) %>% 
  select(-n_GLODAP)

rm(GLODAP_Cant_full)

GLODAP_Cant_observations_available <- GLODAP_Cant_observations_available %>% 
  group_by(lat, lon) %>% 
  arrange(depth) %>% 
  mutate(Cant_int = approxfun(depth, Cant, rule = 2)(depth)) %>% 
  ungroup()

ggplot()+
    geom_path(data = GLODAP_Cant_observations_available %>% 
              filter(lat == 48.5, lon == 165.5, !is.na(Cant)) %>% 
              arrange(depth),
            aes(Cant, depth, col="mapped"))+
  geom_point(data = GLODAP_Cant_observations_available %>% 
              filter(lat == 48.5, lon == 165.5, !is.na(Cant)) %>% 
              arrange(depth),
            aes(Cant, depth, col="mapped"))+
  geom_point(data = GLODAP_Cant_observations_available %>% 
              filter(lat == 48.5, lon == 165.5, date == ymd("2018-06-27")),
            aes(Cant_int, depth, col="interpolated"))+
  scale_y_reverse()+
  scale_color_brewer(palette = "Dark2", name="")+
  labs(title = "Cant interpolation to sampling depth - example profile")

GLODAP <- GLODAP_Cant_observations_available %>% 
  filter(!is.na(Cstar)) %>% 
  mutate(Cant = Cant_int) %>% 
  select(-Cant_int)

rm(GLODAP_Cant_observations_available, Cant_clim)

3.1.2 … Atmospheric pCO2

GLODAP <- left_join(GLODAP, co2_atm)

3.2 Calculate adjustment

GLODAP <- GLODAP %>% 
  group_by(era) %>% 
  mutate(tref = median(year)) %>% 
  ungroup()

tref <- GLODAP %>% 
  group_by(era) %>% 
  summarise(year = median(year)) %>% 
  ungroup()

co2_atm_tref <- right_join(co2_atm, tref) %>% 
  select(-year) %>% 
  rename(pCO2_tref = pCO2)

GLODAP <- full_join(GLODAP, co2_atm_tref)

rm(co2_atm, co2_atm_tref, tref)

GLODAP <- GLODAP %>% 
  mutate(Cstar_tref_delta = 
           ( (pCO2 - pCO2_tref) / (pCO2_tref - 280) ) * Cant,
         Cstar_tref = Cstar - Cstar_tref_delta)

3.3 Control plots

GLODAP %>% 
  ggplot(aes(Cstar_tref_delta))+
  geom_histogram()

GLODAP %>% 
  sample_n(10000) %>% 
  ggplot(aes(year - tref, Cstar_tref_delta, col=Cant))+
  geom_point()+
  scale_color_viridis_c()+
  labs(title = "random subsample 1e4")

4 Selected section plots

Selected sections are plotted to demonstrate the magnitude of various parameters and corrections relevant to C*.

cruises_meridional <- c("1041")

# cruises_meridional <- c("1041","1042", "260",
#                         "2011", "393", "1031", "394", "395",
#                         "1088", "983")

# cruises_zonal <- c()

GLODAP_cruise <- GLODAP %>% 
  filter(cruise %in% cruises_meridional)
mapWorld <- borders("world", colour="gray60", fill="gray60")

#map <- 
GLODAP_cruise %>%
  arrange(date) %>% 
  ggplot(aes(lon, lat))+
  mapWorld+
  geom_path()+
  geom_point(aes(col=date))+
  coord_quickmap(expand = FALSE)+
  scale_color_viridis_c(trans = "date")+
  labs(title = paste("Cruise year:", mean(GLODAP_cruise$year)))

lat_section <- 
GLODAP_cruise %>%
  ggplot(aes(lat, depth))+
  scale_y_reverse()+
  scale_color_viridis_c()

#lat_tco2 <- 
lat_section+
  geom_point(aes(col=tco2))

#lat_talk <- 
lat_section+
  geom_point(aes(col=talk))

#lat_phosphate <- 
lat_section+
  geom_point(aes(col=phosphate))

#lat_rCP_phosphate <- 
lat_section+
  geom_point(aes(col=rCP_phosphate))

#lat_talk_05 <- 
lat_section+
  geom_point(aes(col=talk_05))

#lat_rNP_phosphate_05 <- 
lat_section+
  geom_point(aes(col=rNP_phosphate_05))

#lat_Cstar <- 
lat_section+
  geom_point(aes(col=Cstar))

lat_section+
  geom_point(aes(col=Cant))

#lat_Cstar_tref <- 
lat_section+
  geom_point(aes(col=-Cstar_tref_delta))

# map / lat_tco2 / lat_talk / lat_phosphate / lat_rCP_phosphate /lat_talk_05 /lat_rNP_phosphate_05 / lat_Cstar / lat_Cstar_tref
# 
rm(mapWorld, lat_section, GLODAP_cruise, cruises_meridional)

5 MLR fitting

5.1 Isoneutral slabs

slabs_Atl <- c(
-Inf,
26.00,
26.50,
26.75,
27.00,
27.25,
27.50,
27.75,
27.85,
27.95,
28.05,
28.10,
28.15,
28.20,
Inf)

slabs_Ind_Pac <- c(
-Inf,
26.00,
26.50,
26.75,
27.00,
27.25,
27.50,
27.75,
27.85,
27.95,
28.05,
28.10,
Inf)

The following boundaries for isoneutral slabs were defined:

  • Atlantic: -, 26, 26.5, 26.75, 27, 27.25, 27.5, 27.75, 27.85, 27.95, 28.05, 28.1, 28.15, 28.2,
  • Indo-Pacific: -, 26, 26.5, 26.75, 27, 27.25, 27.5, 27.75, 27.85, 27.95, 28.05, 28.1,
GLODAP_Atl <- GLODAP %>% 
  filter(basin == "Atlantic") %>% 
  mutate(gamma_slabs = cut(gamma, slabs_Atl))

GLODAP_Ind_Pac <- GLODAP %>% 
  filter(basin == "Indo-Pacific") %>% 
  mutate(gamma_slabs = cut(gamma, slabs_Ind_Pac))

GLODAP <- bind_rows(GLODAP_Atl, GLODAP_Ind_Pac)
rm(GLODAP_Atl, GLODAP_Ind_Pac)
temperature
salinity
phosphate
silicate
phosphate_star = phosphate + (oxygen / 170) - 1.95
oxygen
aou
basins <- c("Atlantic", "Indo_Pacific")
slabs <- c("")

for (i_basin in basins) {
  for (i_slab in slabs) {
    
    
  }
  
}

sessionInfo()
R version 3.6.3 (2020-02-29)
Platform: i386-w64-mingw32/i386 (32-bit)
Running under: Windows 10 x64 (build 18363)

Matrix products: default

locale:
[1] LC_COLLATE=English_Germany.1252  LC_CTYPE=English_Germany.1252   
[3] LC_MONETARY=English_Germany.1252 LC_NUMERIC=C                    
[5] LC_TIME=English_Germany.1252    

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

other attached packages:
 [1] patchwork_1.0.1 lubridate_1.7.9 forcats_0.5.0   stringr_1.4.0  
 [5] dplyr_1.0.0     purrr_0.3.4     readr_1.3.1     tidyr_1.1.0    
 [9] tibble_3.0.3    ggplot2_3.3.2   tidyverse_1.3.0 workflowr_1.6.2

loaded via a namespace (and not attached):
 [1] RColorBrewer_1.1-2 jsonlite_1.7.0     rstudioapi_0.11    generics_0.0.2    
 [5] magrittr_1.5       farver_2.0.3       gtable_0.3.0       rmarkdown_2.3     
 [9] vctrs_0.3.1        fs_1.4.2           hms_0.5.3          xml2_1.3.2        
[13] pillar_1.4.6       htmltools_0.5.0    haven_2.3.1        later_1.1.0.1     
[17] broom_0.7.0        cellranger_1.1.0   tidyselect_1.1.0   knitr_1.29        
[21] git2r_0.27.1       whisker_0.4        lifecycle_0.2.0    pkgconfig_2.0.3   
[25] R6_2.4.1           digest_0.6.25      xfun_0.15          colorspace_1.4-1  
[29] rprojroot_1.3-2    stringi_1.4.6      yaml_2.2.1         evaluate_0.14     
[33] labeling_0.3       fansi_0.4.1        httr_1.4.1         compiler_3.6.3    
[37] here_0.1           cli_2.0.2          withr_2.2.0        backports_1.1.5   
[41] munsell_0.5.0      DBI_1.1.0          modelr_0.1.8       Rcpp_1.0.5        
[45] readxl_1.3.1       maps_3.3.0         dbplyr_1.4.4       ellipsis_0.3.1    
[49] assertthat_0.2.1   blob_1.2.1         tools_3.6.3        reprex_0.3.0      
[53] viridisLite_0.3.0  httpuv_1.5.4       scales_1.1.1       crayon_1.3.4      
[57] glue_1.4.1         rlang_0.4.7        rvest_0.3.5        promises_1.1.1    
[61] grid_3.6.3