# Large-Scale Permanent Slide Imaging and Image Analysis for Diatom Morphometrics
## Appendix C
0.1'' 1 Residual standard error: 1.153 on 11855 degrees of freedom

Multiple R-squared: 0.4955, Adjusted R-squared: 0.4954

F-statistic: 3881 on 3 and 11855 DF, p-value: <2.2e-16

> anova(lmWidthHeightPoly3)

Analysis of Variance Table

Response: y

Df Sum Sq Mean Sq F value Pr(>F)

x 1 10899.5 10899.5 8195.52 <2.2e-16 ***

I(x^2) 1 4270.5 4270.5 3211.02 <2.2e-16 ***

I(x^3) 1 316.0 316.0 237.62 <2.2e-16 ***

Residuals 11855 15766.4 1.3

...

Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1'' 1

## 4 Statistical assessment of polynomial model order four:

R console output:

> # poly(4) model > LwwidthHeightPoly4=lm(y- x + I(x^2) + I(x^3) + I(x^4)) > summary(lmwidthHeightPoly4) Call: lm(formula = y - x + I(x^2) + I(x^3) + I(x^4)) Residuals: Min 1Q Median 3Q Max -4.4436 -0.7984 -0.0282 0.7705 4.3359 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 6.478e-01 3.061e-01 2.117 0.0343 * x 4.064e-01 2.787e-02 14.584 <2e-16 *** I(x^2) -4.858e-03 8.820e-04 -5.507 3.72e-08 *** I(x^3) 1.105e-05 1.146e-05 0.964 0.3350 I(x^4) 5.787e-08 5.190e-08 1.115 0.2649... Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1'1 Residual standard error: 1.153 on 11854 degrees of freedom Multiple R-squared: 0.4956, Adjusted R-squared: 0.4954 F-statistic: 2911 on 4 and 11854 DF, p-value: < 2.2e-16

> anova(lmwidthHeightPoly4) Analysis of Variance Table Response: y  Df Sum Sq Mean Sq F value Pr(>F) x 1 10899.5 10899.5 8195.6842 <2e-16 *** I(x^2) 1 4270.5 4270.5 3211.0849 <2e-16 *** I(x^3) 1 316.0 316.0 237.6264 <2e-16 *** I(x^4) 1 1.7 1.7 1.2432 0.2649 Residuals 11854 15764.7 1.3... Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1'1

## References

* [1] [PERSON]; [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON] How to effectively sample the plankton size spectrum? A case study using flowcam. _J. Plankton Res._**2011**, 33, 1119-1133. [CrossRef]
* [2] [PERSON]; [PERSON]; [PERSON] [PERSON] Improvement of plankton biovolume estimates derived from image-based automatic sampling devices: Application to flowcam. _J. Plankton Res._**2012**, 34, 454-469. [CrossRef]
* [3] [PERSON]; [PERSON] A submersible imaging-in-flow instrument to analyze nano-and microplankton: Imaging flowcytobot. _Limmod. Oceanogr. Methods_**2007**, 5, 195-203. [CrossRef]
* [4] [PERSON] [PERSON]; [PERSON] _Automatic Diatom Identification_; World Scientific Publishing Co. Pte. Ltd.: Hackensack, NJ, USA; London, UK; Singapore; Hong Kong, China, 2002. * [5] [PERSON]; [PERSON]; [PERSON] SHERPA: An image segmentation and outline feature extraction tool for diatoms and other objects. _BMC Bioinform._**2014**, 15, 218. [CrossRef] [PubMed]
* [6] Claude[PERSON] _Morphometrics with R_; Springer Science + Business Media, LLC: New York, NY, USA, 2008. * [PERSON] 1990 [PERSON]; [PERSON] _Die Expeditionen Antraktis-VIII/3 und VIII/4 mit FS \"Polarstern\" 1989 = The expeditions Antraktis VIII/3 and VIII/4 of RV \"Polarstern\" in 1989; Alfred Wegener Institute for Polar and Marine Research: Bremerhaven, Germany_, 1990; Volume 74. * [PERSON] et al. 1998 [PERSON]; [PERSON]; [PERSON]; [PERSON] Quaternary surface water temperature estimations: Calibration of a diatom transfer function for the Southern Ocean. _Paleoceanography_**1998**, _13_, 365-383. [CrossRef]
* [PERSON] and [PERSON] 1997 [PERSON]; [PERSON] [PERSON] Diatom distribution in Southern Ocean surface sediments (Atlantic sector): Implications for paleoenvironmental reconstructions. _Palaeogeogr. Palaeoclimatol. Palaeoccol._**1997**, _129_, 213-250. [CrossRef]
* [PERSON] et al. 2004 [PERSON]; [PERSON]; [PERSON] The role of grazing in structuring Southern Ocean pelagic ecosystems and biogeochemical cycles. _Antract. Sci._**2004**, _16_, 541-558. [CrossRef]
* [PERSON] et al. 2009 [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Benthic organic carbon flux and oxygen penetration reflect different plankton provinces in the Southern Ocean. _Deep Sea Res. I Oceanogr. Res. Pap._**2009**, _56_, 1319-1335. [CrossRef]
* [PERSON] et al.