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Overview

inflection is a package that finds the inflection point of a planar curve which is given as a data frame of discrete (xi,yi) points.

Basic functions are:

Install the inflection package and then read vignettes:

Installation

# Install with dependencies:
install.packages('inflection',dependencies=TRUE)

Usage

library(inflection)

data("table_01")
x=table_01$x
y=table_01$y
plot(x,y,col='blue',pch=19,cex=0.25)
cc=check_curve(x,y)
cc
# $ctype
# [1] "convex_concave"
# 
# $index
# [1] 0
ipese=ese(x,y,cc$index);ipese
#      j1  j2 chi
# ESE 170 332   5
ipbese=bese(x,y,cc$index);ipbese
# $iplast
# [1] 5
# 
# $iters
#     n     a     b ESE
# 1 501 2.000 8.000   5
# 2 163 4.556 5.444   5
# 3  75 4.784 5.216   5
# 4  37 4.892 5.108   5
# 5  19 4.952 5.048   5
# 6   9 4.976 5.024   5
# 7   5 4.988 5.012   5
ipede=ede(x,y,cc$index);ipede
#      j1  j2 chi
# EDE 155 347   5
ipbede=bede(x,y,cc$index);ipbede
# $iplast
# [1] 5
# 
# $iters
#     n     a     b EDE
# 1 501 2.000 8.000   5
# 2 193 4.400 5.600   5
# 3 101 4.664 5.336   5
# 4  57 4.808 5.192   5
# 5  33 4.892 5.108   5
# 6  19 4.940 5.060   5
# 7  11 4.964 5.036   5
# 8   7 4.976 5.024   5
# 9   5 4.988 5.012   5
ipall=findiplist(x,y,cc$index);ipall
#      j1  j2 chi
# ESE 170 332   5
# EDE 155 347   5
abline(v=ipese[,3],lty=2)
abline(v=ipede[,3],lty=3,col='red')
#

Why should I use inflection package in R?

Do scientists use inflection package in their work?

Yes, inflection package has approximately 20K installations in RStudio and next is a sample of works that have used it for computing inflection points:

- Ferguson, SH, Yurkowski, DJ, Young, BG, et al.(2019). Do intraspecific life history patterns follow interspecific predictions? A test using latitudinal variation in ringed seals. Popul. Ecol.; 1– 12. https://doi.org/10.1002/1438-390X.12008
- David F. Midgley , Sunil Venaik, Demetris Christopoulos (2018). Culture as a Configuration of Values: An Archetypal Perspective, in (ed.) Experimental Economics and Culture (Research in Experimental Economics, Volume 20) Emerald Publishing Limited, pp.63 - 88. https://www.emeraldinsight.com/doi/abs/10.1108/S0193-230620180000020004
- Maxwell, T. M., Silva, L. C. R., & Horwath, W. R. ( 2018). Predictable oxygen isotope exchange between plant lipids and environmental water: Implications for ecosystem water balance reconstruction. Journal of Geophysical Research: Biogeosciences, 123, 2941– 2954. https://doi.org/10.1029/2018JG004553
- Ortega‐García, S, Guevara, L, Arroyo‐Cabrales, J,et al.(2017). The thermal niche of Neotropical nectar‐feeding bats: Its evolution and application to predict responses to global warming. Ecol Evol. 2017; 7: 6691– 6701. https://doi.org/10.1002/ece3.3171
- Uematsu, A.; Hata, J.; Komaki, Y.; Seki, F.; Yamada, C.; Okahara, N.; Kurotaki, Y.; Sasaki, E. & Okano, (2017). H.Mapping orbitofrontal-limbic maturation in non-human primates: A longitudinal magnetic resonance imaging study NeuroImage, 163, 55 – 67. https://doi.org/10.1016/j.neuroimage.2017.09.028 
- Enderle R, Sander F, Metzler B (2017). Temporal development of collar necroses and butt rot in association with ash dieback. iForest 10: 529-536. https://doi.org/10.3832/ifor2407-010
- Jason Gibbs, Neelendra K. Joshi, Julianna K. Wilson, Nikki L. Rothwell, Karen Powers, Mike Haas, Larry Gut, David J. Biddinger, Rufus Isaacs (2017). Does Passive Sampling Accurately Reflect the Bee (Apoidea: Anthophila) Communities Pollinating Apple and Sour Cherry Orchards?, Environmental Entomology, Volume 46, Issue 3, June 2017, Pages 579–588. https://doi.org/10.1093/ee/nvx069
- Moghaddam, R. F.; Asghari, V.; Moghaddam, F. F.; Lemieux, Y. & Cheriet, M. (2017). A Monte-Carlo approach to lifespan failure performance analysis of the network fabric in modular data centers Journal of Network and Computer Applications, 87, 131 - 146. https://doi.org/10.1016/j.jnca.2017.03.015
- Hoxha, J.; Jiang, G. & Weng, C. (2016). Automated learning of domain taxonomies from text using background knowledge Journal of Biomedical Informatics, 63, 295 - 306. https://doi.org/10.1016/j.jbi.2016.09.002
-  Willis CG, Franzone BF, Xi Z and Davis CC (2014). The establishment of Central American migratory corridors and the biogeographic origins of seasonally dry tropical forests in Mexico. Front. Genet. 5:433. https://doi.org/10.3389/fgene.2014.00433

Contact

Please send comments, suggestions or bug breports to dchristop$econ.uoa.gr

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.