+
+
+
+
+
+
+FASTR - Phytoplankton Data Processing
+Ted Flynn
+2024-03-21
+ +
+
+Import phyto data collected for FASTR project
+These steps import raw phytoplankton data collected by DWR’s Aquatic +Ecology group as part of the FASTR project and combines them into a +single data frame.
+## [1] "LIS" "STTD" "RVB" "RCS" "LIB" "RD22" "RYI" "BL5" "I80" "RMB"##
+## BL5 I80 LIB LIS RCS RD22 RMB RVB RYI STTD
+## 325 587 500 1413 440 564 27 544 656 1270## [1] 1791## [1] 4535
+
+Import EMP Data
+Import phytoplankton data collected by the Environmental Monitoring +Program.
+## [1] 5880## [1] 8072
+
+Combine EMP and AEU data
+## # A tibble: 0 × 11
+## # ℹ 11 variables: DateTime <dttm>, StationCode <chr>, Study <chr>,
+## # Factor <dbl>, Taxon <chr>, Genus <chr>, Species <chr>, UnitAbundance <dbl>,
+## # NumberOfCellsPerUnit <dbl>, GALD <dbl>, BV.Avg <dbl>
+
+Fix Station Names
+
+
+Add Taxonomy Data and Fix Errors
+In Fall 2016, taxonomists began classifying the species Chroococcus +microscopicus as Eucapsis microscopica. This is one of the most dominant +species in this samples, so all taxa previously classified asC. +microscopicus will be re-named E. microscopica. Also, the taxon +Plagioselmis lacustris is inconsistently named, appearing sometimes as +Rhodomonas lacustris. Change to Rhodomonas lacustris to avoid having +these show up as separate genera.
+We also use a CSV of group classification names matched up with the +genera occurring here to add higher-level taxonomic resolution.
+## [1] 0##
+## FALSE
+## 19895
+
+Estimate Phytoplankton Biomass and LCEFA Abundance
+Convert biovolume to biomass using relationships from Menden-Deuer +and Lussard (2000, doi: 10.4319/lo.2000.45.3.0569). This is only +relevant to group-level data. Use biovolume measurements to calculate +the abundance of long-chain essential fatty acids for each group based +on the method in Galloway & Winder (2015, doi: +10.1371/journal.pone.0130053).
+
+
+
+
+Analyze FASTR Data for Outliers
+# Subset combined dataset to FASTR-only
+df_phyto_FASTR <- df_phyto %>% filter(Study == "FASTR")
+
+# Identify if outliers are present
+boxplot(df_phyto_FASTR$BV.um3.per.mL)
# Identify 0.1% and 99.9% percentiles of the data
+quartiles <- quantile(df_phyto_FASTR$BV.um3.per.mL,
+ probs=c(0.001, 0.999),
+ na.rm = TRUE)
+
+# List upper cutoff (99.9%)
+cutoff <- quartiles[2]
+
+# Filter FASTR dataset to show all taxa above this 99.9% cutoff
+df_outliers <- df_phyto_FASTR %>%
+ filter(BV.um3.per.mL > cutoff)
+
+df_outliers %>%
+ select(DateTime,Taxon,BV.um3.per.mL) %>%
+ kable(caption = "Al")## 4 of top 6 are Spirogyra. | DateTime | +Taxon | +BV.um3.per.mL | +
|---|---|---|
| 2015-08-27 10:04:00 | +Spirogyra sp. | +53284341 | +
| 2015-09-01 11:55:00 | +Spirogyra sp. | +57390494 | +
| 2016-03-24 08:26:00 | +cf. Cyclotella sp. | +45565715 | +
| 2016-07-07 09:40:00 | +Cyclotella sp. | +31747497 | +
| 2016-09-13 12:17:00 | +Spirogyra sp. | +256335927 | +
| 2017-09-13 12:10:00 | +Spirogyra sp. | +76015935 | +
| 2018-08-02 10:15:00 | +Ulnaria ulna | +65089153 | +
df_phyto_FASTR %>% filter(Genus == "Spirogyra")# Only 5 total samples w/ Spirogyra## # A tibble: 5 × 18
+## DateTime Month Year StationCode Region Study Group Taxon Genus
+## <dttm> <ord> <dbl> <chr> <chr> <chr> <chr> <chr> <chr>
+## 1 2015-08-27 10:04:00 Aug 2015 LIB Downstream FASTR Gree… Spir… Spir…
+## 2 2015-09-01 11:55:00 Sep 2015 BL5 Downstream FASTR Gree… Spir… Spir…
+## 3 2016-08-02 12:53:00 Aug 2016 RVB Downstream FASTR Gree… Spir… Spir…
+## 4 2016-09-13 12:17:00 Sep 2016 RYI Downstream FASTR Gree… Spir… Spir…
+## 5 2017-09-13 12:10:00 Sep 2017 BL5 Downstream FASTR Gree… Spir… Spir…
+## # ℹ 9 more variables: Species <chr>, GALD <dbl>, BV.Avg <dbl>,
+## # Units.per.mL <dbl>, BV.um3.per.mL <dbl>, Cells.per.mL <dbl>,
+## # Biomass.ug.C <dbl>, BM.ug.per.mL <dbl>, LCEFA.per.mL <dbl># Decision: Remove Spirogyra from datasets
+# 4/5 are above 99.9% cutoff, 5th is also highly abundant
+# These are benthic algae that clump, more likely to be "bullseye" samples
+# that got a big blob or clump
+
+# Remove Spirogyra from FASTR and combined dataset
+df_phyto_FASTR <- df_phyto_FASTR %>%
+ filter(Genus != "Spirogyra")
+
+df_phyto <- df_phyto %>%
+ filter(Genus != "Spirogyra")
+
+Add FASTR-Specific Metadata
+This section adds metadata specific to the FASTR project to a subset +of the data. EMP data is not included in this data frame as the +categories do not apply to it.
+Code for Merging Flow Designations was provided by Cat Pien and +includes 45 days limit on either end of the flow pulse. Code was tweaked +by TF in May 2022 to include greater-than or equal-to signs avoid +inadvertently removing samples falling on the exact dates of pre- and +post-flow phases.
+# Set levels so that Upstream stations appear before Downstream in graphs
+df_phyto_FASTR$Region <- factor(df_phyto_FASTR$Region,
+ levels = c("Upstream","Downstream"))
+
+# Import flow pulse dates and categories
+df_flow_designation <- read_csv(here("phyto-final",
+ "CSVs",
+ "FlowDatesDesignations_45days.csv"),
+ show_col_types = FALSE)
+
+# Remove column with net flow days. Won't be used in any analyses.
+df_flow_designation <- df_flow_designation %>% select(!(NetFlowDays))
+
+# Format dates as dates in each of the 4 date columns
+df_flow_designation <- df_flow_designation %>%
+ mutate(across(PreFlowStart:PostFlowEnd, mdy))
+
+# Merge data from FlowDesignation Table (Water Year Type, Flow days and type)
+df_phyto_FASTR <- inner_join(df_phyto_FASTR,
+ df_flow_designation,
+ by = "Year")
+
+# Label samples with the appropriate phase (Pre-During-Post) and filter
+# FASTR phyto data to include only samples collected within the flow pulse window
+df_phyto_FASTR <- df_phyto_FASTR %>%
+ mutate(ActionPhase = ifelse(DateTime > PreFlowStart & DateTime < PreFlowEnd, "Before", NA)) %>%
+ mutate(ActionPhase = replace(ActionPhase, DateTime >= PreFlowEnd & DateTime < PostFlowStart, "During")) %>%
+ mutate(ActionPhase = replace(ActionPhase, DateTime >= PostFlowStart & DateTime < PostFlowEnd, "After")) %>%
+ filter(!is.na(ActionPhase)) %>%
+ select(-c(PreFlowStart:PostFlowEnd))
+
+# Order the new ActionPhase so that it plots in the order Pre < During < Post
+phase.order <- c("Before","During","After")
+df_phyto_FASTR$ActionPhase <- factor(as.character(df_phyto_FASTR$ActionPhase),
+ levels = phase.order)
+
+# Add in Flow Pulse Category Data
+df_pulse_category <- read_csv(here("phyto-final","CSVs","FlowPulseType.csv"),
+ show_col_types = FALSE)
+
+df_pulse_category <- df_pulse_category %>%
+ rename("FlowPulseCategory" = "FlowPulseType")
+
+# Add Flow Pulse Category to phytoplankton data frame
+df_phyto_FASTR <- left_join(df_phyto_FASTR, df_pulse_category, by = "Year")
+
+# Create a list of stations used for FASTR
+stations <- c("RMB","RCS","RD22","I80","LIS","STTD","BL5","LIB","RYI","RVB")
+
+# Re-order stations from North to South
+df_phyto_FASTR$StationCode <- factor(as.character(df_phyto_FASTR$StationCode),
+ levels = stations)
+## Relocate metadata columns
+df_phyto_FASTR <- df_phyto_FASTR %>%
+ relocate(FlowPulseCategory, .before = ActionPhase) %>%
+ relocate(WYType:ActionPhase, .before = GALD) %>%
+ relocate(Biomass.ug.C, .after = BV.Avg)
+
+Create New Data Frames summarizing by Genus and Algal Group
+# Summarize by algal group
+df_phyto_FASTR_grp <- df_phyto_FASTR %>%
+ group_by(Year, Month, Region, ActionPhase, DateTime, StationCode, Group) %>%
+ summarize(across(Units.per.mL:LCEFA.per.mL, ~sum(.x, na.rm = TRUE))) %>%
+ ungroup## `summarise()` has grouped output by 'Year', 'Month', 'Region', 'ActionPhase',
+## 'DateTime', 'StationCode'. You can override using the `.groups` argument.# Summarize by genus
+df_phyto_FASTR_gen <- df_phyto_FASTR %>%
+ group_by(Year, Month, Region, ActionPhase, DateTime, StationCode, Genus) %>%
+ summarize(across(Units.per.mL:LCEFA.per.mL, ~sum(.x, na.rm = TRUE))) %>%
+ ungroup## `summarise()` has grouped output by 'Year', 'Month', 'Region', 'ActionPhase',
+## 'DateTime', 'StationCode'. You can override using the `.groups` argument.# Set group display order
+group.order <- c("Diatoms",
+ "Cyanobacteria",
+ "Green Algae",
+ "Cryptophytes",
+ "Ciliates",
+ "Dinoflagellates",
+ "Golden Algae",
+ "Other")
+
+df_phyto_FASTR_grp$Group <- factor(as.character(df_phyto_FASTR_grp$Group),
+ levels = group.order)
+
+# Summarize totals
+df_phyto_FASTR_sum <- df_phyto_FASTR %>%
+ group_by(Year, Month, DateTime, StationCode, Region, WYType, FlowPulseType, FlowPulseCategory, ActionPhase) %>%
+ summarize(across(Units.per.mL:LCEFA.per.mL, ~sum(.x, na.rm = TRUE))) %>%
+ rename("Total.Units.per.mL" = "Units.per.mL") %>%
+ rename("Total.BV.per.mL" = "BV.um3.per.mL") %>%
+ rename("Total.Cells.per.mL" = "Cells.per.mL") %>%
+ rename("Total.BM.per.mL" = "BM.ug.per.mL") %>%
+ rename("Total.LCEFA.per.mL" = "LCEFA.per.mL") %>%
+ ungroup## `summarise()` has grouped output by 'Year', 'Month', 'DateTime', 'StationCode',
+## 'Region', 'WYType', 'FlowPulseType', 'FlowPulseCategory'. You can override
+## using the `.groups` argument.# Separate out data frames by density type and add zeros
+# Biovolume Density + Group
+df_phyto_FASTR_grp_BV <- df_phyto_FASTR_grp %>%
+ select(Year:Group,BV.um3.per.mL)
+
+# Add zeros for taxa that weren't detected
+temp <- pivot_wider(df_phyto_FASTR_grp_BV,
+ names_from = Group,
+ values_from = BV.um3.per.mL,
+ values_fill = 0)
+
+df_phyto_FASTR_grp_BV <- pivot_longer(temp,
+ cols = Cyanobacteria:last_col(),
+ names_to = "Group",
+ values_to = "BV.um3.per.mL")
+
+# Create Biovolume-only data frame at genus level
+df_phyto_FASTR_gen_BV <- df_phyto_FASTR_gen %>%
+ select(Year:Genus,BV.um3.per.mL)
+
+temp <- pivot_wider(df_phyto_FASTR_gen_BV,
+ names_from = Genus,
+ values_from = BV.um3.per.mL,
+ values_fill = 0)
+
+df_phyto_FASTR_gen_BV <- pivot_longer(temp,
+ cols = Chlorella:last_col(),
+ names_to = "Genus",
+ values_to = "BV.um3.per.mL")
+
+rm(temp)
+
+Multivariate Calculations
+Use the vegan package in R to calculate the Bray-Curtis similarity +coefficients for phytoplankton community comparisons in each year (2014 +- 2019). A good rule of thumb: stress < 0.05 provides an excellent +representation in reduced dimensions, < 0.1 is great, < 0.2 is +good/ok, and stress < 0.3 provides a poor representation.
+## Square root transformation
+## Wisconsin double standardization
+## Run 0 stress 0.171739
+## Run 1 stress 0.1799737
+## Run 2 stress 0.1742501
+## Run 3 stress 0.1716342
+## ... New best solution
+## ... Procrustes: rmse 0.02073212 max resid 0.115767
+## Run 4 stress 0.1727315
+## Run 5 stress 0.1742501
+## Run 6 stress 0.1723086
+## Run 7 stress 0.1824937
+## Run 8 stress 0.1774677
+## Run 9 stress 0.1716779
+## ... Procrustes: rmse 0.01221018 max resid 0.05862438
+## Run 10 stress 0.1725571
+## Run 11 stress 0.171739
+## ... Procrustes: rmse 0.0207781 max resid 0.1158136
+## Run 12 stress 0.1716342
+## ... New best solution
+## ... Procrustes: rmse 0.0002862936 max resid 0.0005694585
+## ... Similar to previous best
+## Run 13 stress 0.1723087
+## Run 14 stress 0.1774723
+## Run 15 stress 0.1742608
+## Run 16 stress 0.1742503
+## Run 17 stress 0.1716342
+## ... New best solution
+## ... Procrustes: rmse 0.0002895222 max resid 0.0008556222
+## ... Similar to previous best
+## Run 18 stress 0.1726868
+## Run 19 stress 0.1740751
+## Run 20 stress 0.1716779
+## ... Procrustes: rmse 0.01197123 max resid 0.05782632
+## *** Best solution repeated 1 times
## Square root transformation
+## Wisconsin double standardization
+## Run 0 stress 0.2131056
+## Run 1 stress 0.2131107
+## ... Procrustes: rmse 0.000519833 max resid 0.003952992
+## ... Similar to previous best
+## Run 2 stress 0.2137802
+## Run 3 stress 0.2130855
+## ... New best solution
+## ... Procrustes: rmse 0.003409788 max resid 0.03065725
+## Run 4 stress 0.2133165
+## ... Procrustes: rmse 0.008312165 max resid 0.07816092
+## Run 5 stress 0.2135564
+## ... Procrustes: rmse 0.01354384 max resid 0.1364567
+## Run 6 stress 0.213105
+## ... Procrustes: rmse 0.003334044 max resid 0.03023528
+## Run 7 stress 0.2135563
+## ... Procrustes: rmse 0.01369097 max resid 0.1373975
+## Run 8 stress 0.215335
+## Run 9 stress 0.2131049
+## ... Procrustes: rmse 0.003315144 max resid 0.03026994
+## Run 10 stress 0.2133171
+## ... Procrustes: rmse 0.00848766 max resid 0.0798828
+## Run 11 stress 0.2147763
+## Run 12 stress 0.2130858
+## ... Procrustes: rmse 0.0001543822 max resid 0.0006121159
+## ... Similar to previous best
+## Run 13 stress 0.2133171
+## ... Procrustes: rmse 0.008489425 max resid 0.07996174
+## Run 14 stress 0.213105
+## ... Procrustes: rmse 0.003335774 max resid 0.03027651
+## Run 15 stress 0.2135562
+## ... Procrustes: rmse 0.01363277 max resid 0.1372427
+## Run 16 stress 0.2131539
+## ... Procrustes: rmse 0.004738893 max resid 0.03763404
+## Run 17 stress 0.2131759
+## ... Procrustes: rmse 0.005476212 max resid 0.04365836
+## Run 18 stress 0.2130857
+## ... Procrustes: rmse 0.000138796 max resid 0.0005762975
+## ... Similar to previous best
+## Run 19 stress 0.213556
+## ... Procrustes: rmse 0.01367729 max resid 0.1373718
+## Run 20 stress 0.2140375
+## *** Best solution repeated 2 times
## Square root transformation
+## Wisconsin double standardization
+## Run 0 stress 0.1944156
+## Run 1 stress 0.1944144
+## ... New best solution
+## ... Procrustes: rmse 0.000382865 max resid 0.001909889
+## ... Similar to previous best
+## Run 2 stress 0.1944468
+## ... Procrustes: rmse 0.002756107 max resid 0.01413661
+## Run 3 stress 0.1944155
+## ... Procrustes: rmse 0.0008671 max resid 0.00682672
+## ... Similar to previous best
+## Run 4 stress 0.1944328
+## ... Procrustes: rmse 0.001707608 max resid 0.0118279
+## Run 5 stress 0.1944164
+## ... Procrustes: rmse 0.001614454 max resid 0.009112283
+## ... Similar to previous best
+## Run 6 stress 0.1944153
+## ... Procrustes: rmse 0.001445943 max resid 0.009471164
+## ... Similar to previous best
+## Run 7 stress 0.1944172
+## ... Procrustes: rmse 0.001745561 max resid 0.01017501
+## Run 8 stress 0.1944148
+## ... Procrustes: rmse 0.001000083 max resid 0.006661262
+## ... Similar to previous best
+## Run 9 stress 0.1944155
+## ... Procrustes: rmse 0.000381632 max resid 0.001980546
+## ... Similar to previous best
+## Run 10 stress 0.1944144
+## ... Procrustes: rmse 0.0001141491 max resid 0.0006230301
+## ... Similar to previous best
+## Run 11 stress 0.1944161
+## ... Procrustes: rmse 0.001485528 max resid 0.008536007
+## ... Similar to previous best
+## Run 12 stress 0.1944147
+## ... Procrustes: rmse 0.0008702444 max resid 0.004735455
+## ... Similar to previous best
+## Run 13 stress 0.1944146
+## ... Procrustes: rmse 0.001234144 max resid 0.00872337
+## ... Similar to previous best
+## Run 14 stress 0.1944326
+## ... Procrustes: rmse 0.001719908 max resid 0.01188171
+## Run 15 stress 0.1954796
+## Run 16 stress 0.2068974
+## Run 17 stress 0.1944161
+## ... Procrustes: rmse 0.001550354 max resid 0.008565922
+## ... Similar to previous best
+## Run 18 stress 0.1944146
+## ... Procrustes: rmse 0.001106216 max resid 0.008095053
+## ... Similar to previous best
+## Run 19 stress 0.1944177
+## ... Procrustes: rmse 0.001782505 max resid 0.01102172
+## Run 20 stress 0.194415
+## ... Procrustes: rmse 0.001367209 max resid 0.009455656
+## ... Similar to previous best
+## *** Best solution repeated 13 times
## Square root transformation
+## Wisconsin double standardization
+## Run 0 stress 0.1895903
+## Run 1 stress 0.1897947
+## ... Procrustes: rmse 0.009975627 max resid 0.05265113
+## Run 2 stress 0.1906022
+## Run 3 stress 0.1897305
+## ... Procrustes: rmse 0.01772661 max resid 0.133512
+## Run 4 stress 0.1933988
+## Run 5 stress 0.1895894
+## ... New best solution
+## ... Procrustes: rmse 0.01388348 max resid 0.1203614
+## Run 6 stress 0.1897621
+## ... Procrustes: rmse 0.009261005 max resid 0.06637024
+## Run 7 stress 0.1899092
+## ... Procrustes: rmse 0.01950227 max resid 0.1236913
+## Run 8 stress 0.195562
+## Run 9 stress 0.1914162
+## Run 10 stress 0.1931959
+## Run 11 stress 0.1907902
+## Run 12 stress 0.1921355
+## Run 13 stress 0.194268
+## Run 14 stress 0.1939197
+## Run 15 stress 0.1933385
+## Run 16 stress 0.1897273
+## ... Procrustes: rmse 0.009105963 max resid 0.05559605
+## Run 17 stress 0.1923635
+## Run 18 stress 0.1961133
+## Run 19 stress 0.191121
+## Run 20 stress 0.1930784
+## Run 21 stress 0.1896396
+## ... Procrustes: rmse 0.006644986 max resid 0.0390687
+## Run 22 stress 0.1906213
+## Run 23 stress 0.1928022
+## Run 24 stress 0.191636
+## Run 25 stress 0.1906089
+## Run 26 stress 0.1916571
+## Run 27 stress 0.1898253
+## ... Procrustes: rmse 0.01696262 max resid 0.1223649
+## Run 28 stress 0.1955546
+## Run 29 stress 0.1932549
+## Run 30 stress 0.1909511
+## Run 31 stress 0.1935664
+## Run 32 stress 0.1976113
+## Run 33 stress 0.1917427
+## Run 34 stress 0.1917284
+## Run 35 stress 0.1942728
+## Run 36 stress 0.1936999
+## Run 37 stress 0.1945568
+## Run 38 stress 0.1898387
+## ... Procrustes: rmse 0.01659778 max resid 0.1208494
+## Run 39 stress 0.1931959
+## Run 40 stress 0.1979693
+## Run 41 stress 0.1897235
+## ... Procrustes: rmse 0.01124413 max resid 0.06557715
+## Run 42 stress 0.1898238
+## ... Procrustes: rmse 0.01683725 max resid 0.1223217
+## Run 43 stress 0.1923242
+## Run 44 stress 0.1926558
+## Run 45 stress 0.1898334
+## ... Procrustes: rmse 0.01513478 max resid 0.1219036
+## Run 46 stress 0.1913842
+## Run 47 stress 0.1897298
+## ... Procrustes: rmse 0.008975949 max resid 0.05563052
+## Run 48 stress 0.1921273
+## Run 49 stress 0.1918316
+## Run 50 stress 0.1980422
+## Run 51 stress 0.1896155
+## ... Procrustes: rmse 0.003701401 max resid 0.02233224
+## Run 52 stress 0.1906273
+## Run 53 stress 0.1922303
+## Run 54 stress 0.1919807
+## Run 55 stress 0.1932551
+## Run 56 stress 0.1930746
+## Run 57 stress 0.1901826
+## Run 58 stress 0.1907895
+## Run 59 stress 0.1897901
+## ... Procrustes: rmse 0.008930043 max resid 0.04971957
+## Run 60 stress 0.1917658
+## Run 61 stress 0.1932894
+## Run 62 stress 0.1917414
+## Run 63 stress 0.1915189
+## Run 64 stress 0.1942447
+## Run 65 stress 0.1925553
+## Run 66 stress 0.1949433
+## Run 67 stress 0.1910727
+## Run 68 stress 0.1897211
+## ... Procrustes: rmse 0.007269772 max resid 0.05297184
+## Run 69 stress 0.1905817
+## Run 70 stress 0.1932645
+## Run 71 stress 0.1912897
+## Run 72 stress 0.1910341
+## Run 73 stress 0.1915931
+## Run 74 stress 0.1944675
+## Run 75 stress 0.1895674
+## ... New best solution
+## ... Procrustes: rmse 0.01274907 max resid 0.1206398
+## Run 76 stress 0.1923927
+## Run 77 stress 0.1897941
+## ... Procrustes: rmse 0.007347698 max resid 0.05013562
+## Run 78 stress 0.1896217
+## ... Procrustes: rmse 0.01346878 max resid 0.1172194
+## Run 79 stress 0.1961435
+## Run 80 stress 0.1906074
+## Run 81 stress 0.1911673
+## Run 82 stress 0.1924783
+## Run 83 stress 0.1908723
+## Run 84 stress 0.1908301
+## Run 85 stress 0.1932223
+## Run 86 stress 0.1933609
+## Run 87 stress 0.1916363
+## Run 88 stress 0.1897222
+## ... Procrustes: rmse 0.01764094 max resid 0.1343025
+## Run 89 stress 0.191584
+## Run 90 stress 0.193264
+## Run 91 stress 0.1898609
+## ... Procrustes: rmse 0.009457616 max resid 0.07291282
+## Run 92 stress 0.1911669
+## Run 93 stress 0.1970428
+## Run 94 stress 0.1896411
+## ... Procrustes: rmse 0.01448483 max resid 0.1189741
+## Run 95 stress 0.1921884
+## Run 96 stress 0.1915692
+## Run 97 stress 0.1918064
+## Run 98 stress 0.189788
+## ... Procrustes: rmse 0.005484163 max resid 0.03886502
+## Run 99 stress 0.1935432
+## Run 100 stress 0.1939257
+## Run 101 stress 0.1921067
+## Run 102 stress 0.1972544
+## Run 103 stress 0.1926558
+## Run 104 stress 0.1897223
+## ... Procrustes: rmse 0.01775078 max resid 0.1344298
+## Run 105 stress 0.1909636
+## Run 106 stress 0.1916958
+## Run 107 stress 0.1915198
+## Run 108 stress 0.1915205
+## Run 109 stress 0.1921865
+## Run 110 stress 0.189622
+## ... Procrustes: rmse 0.0139468 max resid 0.1273695
+## Run 111 stress 0.1977597
+## Run 112 stress 0.1917267
+## Run 113 stress 0.1908725
+## Run 114 stress 0.1943388
+## Run 115 stress 0.1945873
+## Run 116 stress 0.1905559
+## Run 117 stress 0.1934113
+## Run 118 stress 0.1896145
+## ... Procrustes: rmse 0.01331169 max resid 0.1181038
+## Run 119 stress 0.1915871
+## Run 120 stress 0.1944296
+## Run 121 stress 0.1949918
+## Run 122 stress 0.1927801
+## Run 123 stress 0.1924308
+## Run 124 stress 0.1906174
+## Run 125 stress 0.1968921
+## Run 126 stress 0.1923624
+## Run 127 stress 0.1910576
+## Run 128 stress 0.1927729
+## Run 129 stress 0.195346
+## Run 130 stress 0.1896208
+## ... Procrustes: rmse 0.01383497 max resid 0.1266143
+## Run 131 stress 0.196324
+## Run 132 stress 0.1929855
+## Run 133 stress 0.1906194
+## Run 134 stress 0.1931814
+## Run 135 stress 0.1955323
+## Run 136 stress 0.1896211
+## ... Procrustes: rmse 0.01344674 max resid 0.1176706
+## Run 137 stress 0.1898426
+## ... Procrustes: rmse 0.008459036 max resid 0.05082267
+## Run 138 stress 0.1897562
+## ... Procrustes: rmse 0.01672158 max resid 0.1353291
+## Run 139 stress 0.1954845
+## Run 140 stress 0.1932209
+## Run 141 stress 0.1935605
+## Run 142 stress 0.1940391
+## Run 143 stress 0.1898237
+## ... Procrustes: rmse 0.01025345 max resid 0.05480253
+## Run 144 stress 0.1935867
+## Run 145 stress 0.1910097
+## Run 146 stress 0.1997389
+## Run 147 stress 0.1974073
+## Run 148 stress 0.189834
+## ... Procrustes: rmse 0.007557327 max resid 0.05140839
+## Run 149 stress 0.1897327
+## ... Procrustes: rmse 0.01646526 max resid 0.1340014
+## Run 150 stress 0.1915852
+## Run 151 stress 0.1905832
+## Run 152 stress 0.1948827
+## Run 153 stress 0.1912945
+## Run 154 stress 0.189589
+## ... Procrustes: rmse 0.005443428 max resid 0.04631368
+## Run 155 stress 0.1933951
+## Run 156 stress 0.1931611
+## Run 157 stress 0.1897277
+## ... Procrustes: rmse 0.01643828 max resid 0.133551
+## Run 158 stress 0.1896212
+## ... Procrustes: rmse 0.01344496 max resid 0.1177917
+## Run 159 stress 0.1896401
+## ... Procrustes: rmse 0.01429524 max resid 0.1176958
+## Run 160 stress 0.193601
+## Run 161 stress 0.191121
+## Run 162 stress 0.1914283
+## Run 163 stress 0.1896397
+## ... Procrustes: rmse 0.01422834 max resid 0.1178875
+## Run 164 stress 0.193289
+## Run 165 stress 0.1911224
+## Run 166 stress 0.1915844
+## Run 167 stress 0.1905808
+## Run 168 stress 0.1898968
+## ... Procrustes: rmse 0.01563165 max resid 0.1139724
+## Run 169 stress 0.1896182
+## ... Procrustes: rmse 0.01364735 max resid 0.1239508
+## Run 170 stress 0.1931552
+## Run 171 stress 0.1929347
+## Run 172 stress 0.192174
+## Run 173 stress 0.1898339
+## ... Procrustes: rmse 0.01133763 max resid 0.07001905
+## Run 174 stress 0.1966668
+## Run 175 stress 0.1898248
+## ... Procrustes: rmse 0.01068642 max resid 0.06096265
+## Run 176 stress 0.1906053
+## Run 177 stress 0.1905322
+## Run 178 stress 0.1991652
+## Run 179 stress 0.1914442
+## Run 180 stress 0.191957
+## Run 181 stress 0.1896407
+## ... Procrustes: rmse 0.01429016 max resid 0.116931
+## Run 182 stress 0.193258
+## Run 183 stress 0.1948732
+## Run 184 stress 0.1908872
+## Run 185 stress 0.1915658
+## Run 186 stress 0.1912438
+## Run 187 stress 0.1931942
+## Run 188 stress 0.2000997
+## Run 189 stress 0.1897219
+## ... Procrustes: rmse 0.01753967 max resid 0.134269
+## Run 190 stress 0.1915386
+## Run 191 stress 0.193229
+## Run 192 stress 0.1906084
+## Run 193 stress 0.1992432
+## Run 194 stress 0.1917564
+## Run 195 stress 0.1915527
+## Run 196 stress 0.1978064
+## Run 197 stress 0.192074
+## Run 198 stress 0.1897476
+## ... Procrustes: rmse 0.01639169 max resid 0.1336338
+## Run 199 stress 0.1936178
+## Run 200 stress 0.19058
+## Run 201 stress 0.1926558
+## Run 202 stress 0.1935054
+## Run 203 stress 0.1924323
+## Run 204 stress 0.193636
+## Run 205 stress 0.1915838
+## Run 206 stress 0.1896659
+## ... Procrustes: rmse 0.01517555 max resid 0.1380996
+## Run 207 stress 0.1906179
+## Run 208 stress 0.1898433
+## ... Procrustes: rmse 0.01181096 max resid 0.07488563
+## Run 209 stress 0.1906112
+## Run 210 stress 0.1896407
+## ... Procrustes: rmse 0.01392701 max resid 0.1168902
+## Run 211 stress 0.1914431
+## Run 212 stress 0.1913669
+## Run 213 stress 0.1937428
+## Run 214 stress 0.1909157
+## Run 215 stress 0.1953611
+## Run 216 stress 0.1906066
+## Run 217 stress 0.1935581
+## Run 218 stress 0.1932052
+## Run 219 stress 0.193196
+## Run 220 stress 0.1956965
+## Run 221 stress 0.1943427
+## Run 222 stress 0.1923993
+## Run 223 stress 0.1923191
+## Run 224 stress 0.1895892
+## ... Procrustes: rmse 0.01259026 max resid 0.1190304
+## Run 225 stress 0.1896226
+## ... Procrustes: rmse 0.01354072 max resid 0.1189862
+## Run 226 stress 0.1905839
+## Run 227 stress 0.1931957
+## Run 228 stress 0.1931356
+## Run 229 stress 0.1955484
+## Run 230 stress 0.1938366
+## Run 231 stress 0.1897209
+## ... Procrustes: rmse 0.0175776 max resid 0.1343006
+## Run 232 stress 0.1916146
+## Run 233 stress 0.1906301
+## Run 234 stress 0.1942664
+## Run 235 stress 0.1895907
+## ... Procrustes: rmse 0.005650632 max resid 0.04769659
+## Run 236 stress 0.1896277
+## ... Procrustes: rmse 0.01348837 max resid 0.1159627
+## Run 237 stress 0.1895883
+## ... Procrustes: rmse 0.01255931 max resid 0.1190452
+## Run 238 stress 0.1961186
+## Run 239 stress 0.1927524
+## Run 240 stress 0.1909499
+## Run 241 stress 0.1915205
+## Run 242 stress 0.1908374
+## Run 243 stress 0.1907584
+## Run 244 stress 0.1906184
+## Run 245 stress 0.1940027
+## Run 246 stress 0.1931748
+## Run 247 stress 0.1898224
+## ... Procrustes: rmse 0.01030259 max resid 0.0554775
+## Run 248 stress 0.1905802
+## Run 249 stress 0.1898228
+## ... Procrustes: rmse 0.01041511 max resid 0.05705223
+## Run 250 stress 0.1947886
+## Run 251 stress 0.1928064
+## Run 252 stress 0.1907908
+## Run 253 stress 0.1898029
+## ... Procrustes: rmse 0.009338604 max resid 0.05185346
+## Run 254 stress 0.1897251
+## ... Procrustes: rmse 0.01658959 max resid 0.1336738
+## Run 255 stress 0.194801
+## Run 256 stress 0.1938735
+## Run 257 stress 0.1951146
+## Run 258 stress 0.1916244
+## Run 259 stress 0.1919925
+## Run 260 stress 0.1918572
+## Run 261 stress 0.191754
+## Run 262 stress 0.1934006
+## Run 263 stress 0.1936579
+## Run 264 stress 0.1936423
+## Run 265 stress 0.1899088
+## ... Procrustes: rmse 0.01574558 max resid 0.1137615
+## Run 266 stress 0.1934007
+## Run 267 stress 0.193876
+## Run 268 stress 0.1934597
+## Run 269 stress 0.1905544
+## Run 270 stress 0.1908205
+## Run 271 stress 0.195844
+## Run 272 stress 0.1914707
+## Run 273 stress 0.1944296
+## Run 274 stress 0.1985556
+## Run 275 stress 0.1917966
+## Run 276 stress 0.1908282
+## Run 277 stress 0.1965629
+## Run 278 stress 0.1896142
+## ... Procrustes: rmse 0.01339756 max resid 0.1192769
+## Run 279 stress 0.1898247
+## ... Procrustes: rmse 0.01051423 max resid 0.05952224
+## Run 280 stress 0.1910356
+## Run 281 stress 0.1930772
+## Run 282 stress 0.1934633
+## Run 283 stress 0.1931165
+## Run 284 stress 0.1962593
+## Run 285 stress 0.1965061
+## Run 286 stress 0.1974134
+## Run 287 stress 0.1959307
+## Run 288 stress 0.1917935
+## Run 289 stress 0.1903922
+## Run 290 stress 0.1923355
+## Run 291 stress 0.1960622
+## Run 292 stress 0.1938365
+## Run 293 stress 0.193181
+## Run 294 stress 0.1916963
+## Run 295 stress 0.1908124
+## Run 296 stress 0.1896154
+## ... Procrustes: rmse 0.01354413 max resid 0.1200708
+## Run 297 stress 0.1895905
+## ... Procrustes: rmse 0.01284672 max resid 0.1215462
+## Run 298 stress 0.1915522
+## Run 299 stress 0.1955251
+## Run 300 stress 0.1914669
+## Run 301 stress 0.1975519
+## Run 302 stress 0.1896406
+## ... Procrustes: rmse 0.01442246 max resid 0.1196683
+## Run 303 stress 0.189838
+## ... Procrustes: rmse 0.01156624 max resid 0.07248831
+## Run 304 stress 0.1908202
+## Run 305 stress 0.1917537
+## Run 306 stress 0.1897993
+## ... Procrustes: rmse 0.009007352 max resid 0.05184579
+## Run 307 stress 0.1922244
+## Run 308 stress 0.1909323
+## Run 309 stress 0.1909309
+## Run 310 stress 0.1920236
+## Run 311 stress 0.191624
+## Run 312 stress 0.1915207
+## Run 313 stress 0.1895661
+## ... New best solution
+## ... Procrustes: rmse 0.001269865 max resid 0.009959143
+## ... Similar to previous best
+## *** Best solution repeated 1 times
## Square root transformation
+## Wisconsin double standardization
+## Run 0 stress 0.1948295
+## Run 1 stress 0.1972171
+## Run 2 stress 0.1956095
+## Run 3 stress 0.1943622
+## ... New best solution
+## ... Procrustes: rmse 0.02713387 max resid 0.1871345
+## Run 4 stress 0.1968831
+## Run 5 stress 0.195176
+## Run 6 stress 0.1964519
+## Run 7 stress 0.1983735
+## Run 8 stress 0.1965895
+## Run 9 stress 0.1949891
+## Run 10 stress 0.197387
+## Run 11 stress 0.1955686
+## Run 12 stress 0.1965345
+## Run 13 stress 0.1973584
+## Run 14 stress 0.1959554
+## Run 15 stress 0.1955709
+## Run 16 stress 0.1968558
+## Run 17 stress 0.1943747
+## ... Procrustes: rmse 0.01858822 max resid 0.1573974
+## Run 18 stress 0.1963404
+## Run 19 stress 0.1957003
+## Run 20 stress 0.1957245
+## Run 21 stress 0.1940382
+## ... New best solution
+## ... Procrustes: rmse 0.01970152 max resid 0.1768252
+## Run 22 stress 0.1971585
+## Run 23 stress 0.1942057
+## ... Procrustes: rmse 0.01719366 max resid 0.1564763
+## Run 24 stress 0.1969554
+## Run 25 stress 0.196278
+## Run 26 stress 0.1945957
+## Run 27 stress 0.1962854
+## Run 28 stress 0.1963868
+## Run 29 stress 0.1948691
+## Run 30 stress 0.1959674
+## Run 31 stress 0.1957724
+## Run 32 stress 0.1972058
+## Run 33 stress 0.1945045
+## ... Procrustes: rmse 0.01755659 max resid 0.1205744
+## Run 34 stress 0.1950518
+## Run 35 stress 0.1949894
+## Run 36 stress 0.1961915
+## Run 37 stress 0.195606
+## Run 38 stress 0.197221
+## Run 39 stress 0.1984455
+## Run 40 stress 0.1967174
+## Run 41 stress 0.1961556
+## Run 42 stress 0.1959828
+## Run 43 stress 0.1964993
+## Run 44 stress 0.1944356
+## ... Procrustes: rmse 0.02444921 max resid 0.1833991
+## Run 45 stress 0.1981101
+## Run 46 stress 0.1944676
+## ... Procrustes: rmse 0.02185838 max resid 0.1669605
+## Run 47 stress 0.1954688
+## Run 48 stress 0.197367
+## Run 49 stress 0.1977092
+## Run 50 stress 0.1969778
+## Run 51 stress 0.1974244
+## Run 52 stress 0.1954648
+## Run 53 stress 0.1943538
+## ... Procrustes: rmse 0.01797617 max resid 0.1598972
+## Run 54 stress 0.1958871
+## Run 55 stress 0.1952714
+## Run 56 stress 0.1967838
+## Run 57 stress 0.196318
+## Run 58 stress 0.1957168
+## Run 59 stress 0.1947616
+## Run 60 stress 0.1971381
+## Run 61 stress 0.1972116
+## Run 62 stress 0.1944656
+## ... Procrustes: rmse 0.04875559 max resid 0.2129848
+## Run 63 stress 0.1964095
+## Run 64 stress 0.1967164
+## Run 65 stress 0.1972541
+## Run 66 stress 0.198516
+## Run 67 stress 0.1954722
+## Run 68 stress 0.1994759
+## Run 69 stress 0.1963823
+## Run 70 stress 0.1983984
+## Run 71 stress 0.1957931
+## Run 72 stress 0.1953022
+## Run 73 stress 0.1980429
+## Run 74 stress 0.1969466
+## Run 75 stress 0.1948577
+## Run 76 stress 0.1966478
+## Run 77 stress 0.195981
+## Run 78 stress 0.1953723
+## Run 79 stress 0.1976135
+## Run 80 stress 0.1951707
+## Run 81 stress 0.1963438
+## Run 82 stress 0.1967419
+## Run 83 stress 0.1968166
+## Run 84 stress 0.1961797
+## Run 85 stress 0.1965432
+## Run 86 stress 0.1956322
+## Run 87 stress 0.1966701
+## Run 88 stress 0.1952317
+## Run 89 stress 0.1966245
+## Run 90 stress 0.200022
+## Run 91 stress 0.1958387
+## Run 92 stress 0.1978159
+## Run 93 stress 0.1964852
+## Run 94 stress 0.1959969
+## Run 95 stress 0.1973299
+## Run 96 stress 0.1972319
+## Run 97 stress 0.1975279
+## Run 98 stress 0.198421
+## Run 99 stress 0.1960575
+## Run 100 stress 0.1963403
+## Run 101 stress 0.1998174
+## Run 102 stress 0.1968793
+## Run 103 stress 0.1986071
+## Run 104 stress 0.1950377
+## Run 105 stress 0.1970601
+## Run 106 stress 0.196615
+## Run 107 stress 0.1955119
+## Run 108 stress 0.1969225
+## Run 109 stress 0.1968677
+## Run 110 stress 0.19411
+## ... Procrustes: rmse 0.01532347 max resid 0.1582207
+## Run 111 stress 0.1964922
+## Run 112 stress 0.1939686
+## ... New best solution
+## ... Procrustes: rmse 0.02016994 max resid 0.1771657
+## Run 113 stress 0.1949802
+## Run 114 stress 0.1959918
+## Run 115 stress 0.1987794
+## Run 116 stress 0.1980934
+## Run 117 stress 0.2022944
+## Run 118 stress 0.1946934
+## Run 119 stress 0.1971622
+## Run 120 stress 0.1976449
+## Run 121 stress 0.1949804
+## Run 122 stress 0.1968289
+## Run 123 stress 0.1968501
+## Run 124 stress 0.198245
+## Run 125 stress 0.1965472
+## Run 126 stress 0.1946124
+## Run 127 stress 0.1986995
+## Run 128 stress 0.1951192
+## Run 129 stress 0.1980334
+## Run 130 stress 0.1962358
+## Run 131 stress 0.1948764
+## Run 132 stress 0.2000849
+## Run 133 stress 0.1946658
+## Run 134 stress 0.1946852
+## Run 135 stress 0.1996634
+## Run 136 stress 0.1968009
+## Run 137 stress 0.1959079
+## Run 138 stress 0.1967445
+## Run 139 stress 0.1967626
+## Run 140 stress 0.1976519
+## Run 141 stress 0.1956726
+## Run 142 stress 0.1977417
+## Run 143 stress 0.1956638
+## Run 144 stress 0.1962754
+## Run 145 stress 0.1954058
+## Run 146 stress 0.1968376
+## Run 147 stress 0.1956515
+## Run 148 stress 0.1982759
+## Run 149 stress 0.1952148
+## Run 150 stress 0.1954805
+## Run 151 stress 0.1966938
+## Run 152 stress 0.1985255
+## Run 153 stress 0.1984637
+## Run 154 stress 0.1955645
+## Run 155 stress 0.1960745
+## Run 156 stress 0.1965791
+## Run 157 stress 0.1959729
+## Run 158 stress 0.1962307
+## Run 159 stress 0.1950916
+## Run 160 stress 0.1955537
+## Run 161 stress 0.195608
+## Run 162 stress 0.1976324
+## Run 163 stress 0.1959039
+## Run 164 stress 0.1968625
+## Run 165 stress 0.1979047
+## Run 166 stress 0.1948864
+## Run 167 stress 0.1969696
+## Run 168 stress 0.1969508
+## Run 169 stress 0.1963646
+## Run 170 stress 0.1986712
+## Run 171 stress 0.1955385
+## Run 172 stress 0.1957761
+## Run 173 stress 0.1963647
+## Run 174 stress 0.1965521
+## Run 175 stress 0.1971403
+## Run 176 stress 0.1945159
+## Run 177 stress 0.1976395
+## Run 178 stress 0.194625
+## Run 179 stress 0.1960141
+## Run 180 stress 0.1957703
+## Run 181 stress 0.1991184
+## Run 182 stress 0.197228
+## Run 183 stress 0.1959958
+## Run 184 stress 0.1970487
+## Run 185 stress 0.1975668
+## Run 186 stress 0.1958509
+## Run 187 stress 0.1959249
+## Run 188 stress 0.1990631
+## Run 189 stress 0.1967124
+## Run 190 stress 0.1949879
+## Run 191 stress 0.1963849
+## Run 192 stress 0.1967959
+## Run 193 stress 0.1962111
+## Run 194 stress 0.1940779
+## ... Procrustes: rmse 0.005855018 max resid 0.0680215
+## Run 195 stress 0.1970503
+## Run 196 stress 0.1946733
+## Run 197 stress 0.1946977
+## Run 198 stress 0.1957057
+## Run 199 stress 0.1950924
+## Run 200 stress 0.1961848
+## Run 201 stress 0.1980782
+## Run 202 stress 0.1952524
+## Run 203 stress 0.1963078
+## Run 204 stress 0.1974424
+## Run 205 stress 0.1959737
+## Run 206 stress 0.1961854
+## Run 207 stress 0.1981339
+## Run 208 stress 0.1950794
+## Run 209 stress 0.194148
+## ... Procrustes: rmse 0.01753445 max resid 0.1623211
+## Run 210 stress 0.1950373
+## Run 211 stress 0.1963604
+## Run 212 stress 0.1944121
+## ... Procrustes: rmse 0.02593139 max resid 0.1689554
+## Run 213 stress 0.1967486
+## Run 214 stress 0.1974959
+## Run 215 stress 0.196877
+## Run 216 stress 0.1982982
+## Run 217 stress 0.1950337
+## Run 218 stress 0.1985535
+## Run 219 stress 0.2023546
+## Run 220 stress 0.1955064
+## Run 221 stress 0.1977017
+## Run 222 stress 0.1977683
+## Run 223 stress 0.1951582
+## Run 224 stress 0.195171
+## Run 225 stress 0.1952659
+## Run 226 stress 0.197176
+## Run 227 stress 0.1963156
+## Run 228 stress 0.1956006
+## Run 229 stress 0.1965089
+## Run 230 stress 0.196408
+## Run 231 stress 0.1971956
+## Run 232 stress 0.1979329
+## Run 233 stress 0.1977415
+## Run 234 stress 0.1949302
+## Run 235 stress 0.1968043
+## Run 236 stress 0.1959782
+## Run 237 stress 0.1961475
+## Run 238 stress 0.1959541
+## Run 239 stress 0.1946896
+## Run 240 stress 0.1953088
+## Run 241 stress 0.1971324
+## Run 242 stress 0.1969595
+## Run 243 stress 0.1965559
+## Run 244 stress 0.1964831
+## Run 245 stress 0.1981458
+## Run 246 stress 0.1964857
+## Run 247 stress 0.1961299
+## Run 248 stress 0.1975404
+## Run 249 stress 0.1955814
+## Run 250 stress 0.1958579
+## Run 251 stress 0.1954394
+## Run 252 stress 0.1956357
+## Run 253 stress 0.1963502
+## Run 254 stress 0.1948209
+## Run 255 stress 0.1949208
+## Run 256 stress 0.1948465
+## Run 257 stress 0.1979883
+## Run 258 stress 0.1941473
+## ... Procrustes: rmse 0.01811321 max resid 0.1592738
+## Run 259 stress 0.1970578
+## Run 260 stress 0.195633
+## Run 261 stress 0.1963655
+## Run 262 stress 0.1954747
+## Run 263 stress 0.1979997
+## Run 264 stress 0.1950198
+## Run 265 stress 0.1963881
+## Run 266 stress 0.1951168
+## Run 267 stress 0.1955054
+## Run 268 stress 0.1949236
+## Run 269 stress 0.1965371
+## Run 270 stress 0.1955364
+## Run 271 stress 0.1973774
+## Run 272 stress 0.1951195
+## Run 273 stress 0.1971001
+## Run 274 stress 0.195303
+## Run 275 stress 0.195889
+## Run 276 stress 0.196243
+## Run 277 stress 0.1978837
+## Run 278 stress 0.1946756
+## Run 279 stress 0.1953685
+## Run 280 stress 0.1975812
+## Run 281 stress 0.1983464
+## Run 282 stress 0.196114
+## Run 283 stress 0.1969137
+## Run 284 stress 0.1968935
+## Run 285 stress 0.1965913
+## Run 286 stress 0.1952428
+## Run 287 stress 0.1949229
+## Run 288 stress 0.1975762
+## Run 289 stress 0.2027064
+## Run 290 stress 0.1988609
+## Run 291 stress 0.1967732
+## Run 292 stress 0.1961371
+## Run 293 stress 0.1941312
+## ... Procrustes: rmse 0.02578706 max resid 0.1836086
+## Run 294 stress 0.1967686
+## Run 295 stress 0.1945943
+## Run 296 stress 0.1960046
+## Run 297 stress 0.1992348
+## Run 298 stress 0.1963737
+## Run 299 stress 0.1970285
+## Run 300 stress 0.1963328
+## Run 301 stress 0.1959941
+## Run 302 stress 0.1955817
+## Run 303 stress 0.1964946
+## Run 304 stress 0.1965427
+## Run 305 stress 0.196068
+## Run 306 stress 0.1964755
+## Run 307 stress 0.1957655
+## Run 308 stress 0.195069
+## Run 309 stress 0.1963647
+## Run 310 stress 0.1962629
+## Run 311 stress 0.1956904
+## Run 312 stress 0.1949249
+## Run 313 stress 0.1977817
+## Run 314 stress 0.1954493
+## Run 315 stress 0.1996754
+## Run 316 stress 0.1981487
+## Run 317 stress 0.1969629
+## Run 318 stress 0.1948469
+## Run 319 stress 0.1955264
+## Run 320 stress 0.1970171
+## Run 321 stress 0.1980643
+## Run 322 stress 0.1948531
+## Run 323 stress 0.1959385
+## Run 324 stress 0.1969819
+## Run 325 stress 0.1955502
+## Run 326 stress 0.1989472
+## Run 327 stress 0.1969258
+## Run 328 stress 0.1975152
+## Run 329 stress 0.1961503
+## Run 330 stress 0.1962048
+## Run 331 stress 0.1980131
+## Run 332 stress 0.1954045
+## Run 333 stress 0.1970949
+## Run 334 stress 0.1962414
+## Run 335 stress 0.197135
+## Run 336 stress 0.1960453
+## Run 337 stress 0.198219
+## Run 338 stress 0.1954481
+## Run 339 stress 0.1951492
+## Run 340 stress 0.1964684
+## Run 341 stress 0.1980847
+## Run 342 stress 0.1959226
+## Run 343 stress 0.1978133
+## Run 344 stress 0.1964054
+## Run 345 stress 0.1966999
+## Run 346 stress 0.1964876
+## Run 347 stress 0.1963074
+## Run 348 stress 0.1973617
+## Run 349 stress 0.1961349
+## Run 350 stress 0.1993755
+## Run 351 stress 0.1949832
+## Run 352 stress 0.1973227
+## Run 353 stress 0.1967578
+## Run 354 stress 0.1950124
+## Run 355 stress 0.1982633
+## Run 356 stress 0.1961275
+## Run 357 stress 0.1961174
+## Run 358 stress 0.1962278
+## Run 359 stress 0.1952574
+## Run 360 stress 0.1982571
+## Run 361 stress 0.1964328
+## Run 362 stress 0.19679
+## Run 363 stress 0.196467
+## Run 364 stress 0.1974428
+## Run 365 stress 0.1953128
+## Run 366 stress 0.1967444
+## Run 367 stress 0.1947836
+## Run 368 stress 0.1954273
+## Run 369 stress 0.1953529
+## Run 370 stress 0.1962055
+## Run 371 stress 0.1964416
+## Run 372 stress 0.1974131
+## Run 373 stress 0.1959594
+## Run 374 stress 0.2022894
+## Run 375 stress 0.1998593
+## Run 376 stress 0.1950022
+## Run 377 stress 0.1982089
+## Run 378 stress 0.197859
+## Run 379 stress 0.1953776
+## Run 380 stress 0.1962358
+## Run 381 stress 0.1956814
+## Run 382 stress 0.193887
+## ... New best solution
+## ... Procrustes: rmse 0.006044063 max resid 0.05732527
+## Run 383 stress 0.1955629
+## Run 384 stress 0.1971861
+## Run 385 stress 0.1972543
+## Run 386 stress 0.1951017
+## Run 387 stress 0.1948975
+## Run 388 stress 0.1970578
+## Run 389 stress 0.1946798
+## Run 390 stress 0.1944855
+## Run 391 stress 0.1980281
+## Run 392 stress 0.1950626
+## Run 393 stress 0.1966963
+## Run 394 stress 0.1959456
+## Run 395 stress 0.1971511
+## Run 396 stress 0.1963851
+## Run 397 stress 0.1964475
+## Run 398 stress 0.1966047
+## Run 399 stress 0.1955375
+## Run 400 stress 0.1966444
+## Run 401 stress 0.1962763
+## Run 402 stress 0.1960914
+## Run 403 stress 0.1974672
+## Run 404 stress 0.1957151
+## Run 405 stress 0.1974397
+## Run 406 stress 0.197232
+## Run 407 stress 0.1980386
+## Run 408 stress 0.1960084
+## Run 409 stress 0.1957376
+## Run 410 stress 0.1961153
+## Run 411 stress 0.2028988
+## Run 412 stress 0.196619
+## Run 413 stress 0.1956764
+## Run 414 stress 0.1970012
+## Run 415 stress 0.1954659
+## Run 416 stress 0.1957025
+## Run 417 stress 0.1960459
+## Run 418 stress 0.1966594
+## Run 419 stress 0.1979222
+## Run 420 stress 0.197876
+## Run 421 stress 0.1963762
+## Run 422 stress 0.1971267
+## Run 423 stress 0.195163
+## Run 424 stress 0.19528
+## Run 425 stress 0.1952496
+## Run 426 stress 0.202851
+## Run 427 stress 0.1965226
+## Run 428 stress 0.1955928
+## Run 429 stress 0.1969169
+## Run 430 stress 0.1965022
+## Run 431 stress 0.1980185
+## Run 432 stress 0.1979916
+## Run 433 stress 0.1939413
+## ... Procrustes: rmse 0.00553856 max resid 0.0468134
+## Run 434 stress 0.1983388
+## Run 435 stress 0.1950978
+## Run 436 stress 0.1981827
+## Run 437 stress 0.1959512
+## Run 438 stress 0.1965433
+## Run 439 stress 0.1959386
+## Run 440 stress 0.1985888
+## Run 441 stress 0.1968039
+## Run 442 stress 0.1994619
+## Run 443 stress 0.195941
+## Run 444 stress 0.1961696
+## Run 445 stress 0.1966057
+## Run 446 stress 0.1966775
+## Run 447 stress 0.1960106
+## Run 448 stress 0.1966233
+## Run 449 stress 0.1968561
+## Run 450 stress 0.1954134
+## Run 451 stress 0.1963467
+## Run 452 stress 0.1959199
+## Run 453 stress 0.1973048
+## Run 454 stress 0.1982941
+## Run 455 stress 0.1987085
+## Run 456 stress 0.195694
+## Run 457 stress 0.1961945
+## Run 458 stress 0.1984781
+## Run 459 stress 0.1955714
+## Run 460 stress 0.1972831
+## Run 461 stress 0.1968898
+## Run 462 stress 0.196071
+## Run 463 stress 0.1965107
+## Run 464 stress 0.1948227
+## Run 465 stress 0.1966497
+## Run 466 stress 0.1957486
+## Run 467 stress 0.195559
+## Run 468 stress 0.1981373
+## Run 469 stress 0.1959647
+## Run 470 stress 0.194187
+## ... Procrustes: rmse 0.01854373 max resid 0.1560759
+## Run 471 stress 0.196129
+## Run 472 stress 0.1959289
+## Run 473 stress 0.1997089
+## Run 474 stress 0.1949986
+## Run 475 stress 0.1951098
+## Run 476 stress 0.1964261
+## Run 477 stress 0.1940928
+## ... Procrustes: rmse 0.02219909 max resid 0.1712116
+## Run 478 stress 0.1947124
+## Run 479 stress 0.1968976
+## Run 480 stress 0.1967509
+## Run 481 stress 0.1961956
+## Run 482 stress 0.1966074
+## Run 483 stress 0.1950424
+## Run 484 stress 0.1962915
+## Run 485 stress 0.1971847
+## Run 486 stress 0.1971154
+## Run 487 stress 0.1956938
+## Run 488 stress 0.1980714
+## Run 489 stress 0.196942
+## Run 490 stress 0.1982367
+## Run 491 stress 0.1958801
+## Run 492 stress 0.1959479
+## Run 493 stress 0.1956743
+## Run 494 stress 0.1955249
+## Run 495 stress 0.195383
+## Run 496 stress 0.1969338
+## Run 497 stress 0.1957301
+## Run 498 stress 0.1973942
+## Run 499 stress 0.1947377
+## Run 500 stress 0.1971661
+## *** Best solution was not repeated -- monoMDS stopping criteria:
+## 331: no. of iterations >= maxit
+## 169: stress ratio > sratmax
## Square root transformation
+## Wisconsin double standardization
+## Run 0 stress 0.1812837
+## Run 1 stress 0.1792325
+## ... New best solution
+## ... Procrustes: rmse 0.09462102 max resid 0.4475736
+## Run 2 stress 0.1779978
+## ... New best solution
+## ... Procrustes: rmse 0.07691572 max resid 0.2447974
+## Run 3 stress 0.1786597
+## Run 4 stress 0.1859918
+## Run 5 stress 0.1799088
+## Run 6 stress 0.1747167
+## ... New best solution
+## ... Procrustes: rmse 0.04975444 max resid 0.2121499
+## Run 7 stress 0.1749613
+## ... Procrustes: rmse 0.01163383 max resid 0.07486832
+## Run 8 stress 0.184274
+## Run 9 stress 0.1752255
+## Run 10 stress 0.1758472
+## Run 11 stress 0.174718
+## ... Procrustes: rmse 0.0007670905 max resid 0.003794574
+## ... Similar to previous best
+## Run 12 stress 0.1758696
+## Run 13 stress 0.1747188
+## ... Procrustes: rmse 0.0008787697 max resid 0.003974277
+## ... Similar to previous best
+## Run 14 stress 0.1766647
+## Run 15 stress 0.1807411
+## Run 16 stress 0.1758473
+## Run 17 stress 0.1775005
+## Run 18 stress 0.1849466
+## Run 19 stress 0.1759661
+## Run 20 stress 0.1766347
+## *** Best solution repeated 2 times
+
+
+
+
+
+