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Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
City Trees

The trees along this city street,
Save for the traffic and the trains,
Would make a sound as thin and sweet
As trees in country lanes.

And people standing in their shade
Out of a shower, undoubtedly
Would hear such music as is made
Upon a country tree.

Oh, little leaves that are so dumb
Against the shrieking city air,
I watch you when the wind has come,—
I know what sound is there.

— Edna St. Vincent Millay

data visualization + art

Nature Biotechnology Cover

11 April 2022, Issue 40, Volume 4

Konno, N. et al. Deep distributed computing to reconstruct extremely large lineage trees (2022) Nature Biotechnology 40:566–575.

The 2021 π Day art celebrates the digits of π with a forest! Visit the bat cave and underwater ecosystems for the full experience.
Who doesn't want more than just one tree?

1 · The cover

The cover design accompanies the paper by Konno et al., which presents a highly efficient distributed computing method for the reconstruction of evolutionary trees from very large datasets.

The cover is a rearrangement of the very large phylogenetic data set depicted in Figure 2a in the paper. You can browse this data set using the HiView server.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Figure 2. Lineage reconstruction of over 235 million sequences. a. The whole distributed computing history of FRACTAL used to reconstruct the lineage of 235 million sequences generated by PRESUME. Each circle and its child circles in the circle packing diagram represent a parental FRACTAL iteration cycle and its child job cycles. d. A partial representation of the reconstructed lineage of 235,100,199 sequences. Each tree shows a partial lineage determined at each of the distributed computing cycles R2–R6 and B2–B6. The tree diagrams were visualized using Cytoscape 3.7.145. Interactive visualization for the whole distributed computing trajectories and lineage subgraphs reconstructed in corresponding FRACTAL cycles are available on the HiView server. Figure excerpt from Fig 2(a,d) in Konno et al.
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
My rearrangement of the phylogenetic tree from Figure 2a in Konno et al.. The style is inspired by Sakura.

2 · Trees from data

The source of inspiration for the cover design came from previous work, where I drew trees from data.

2.1 · Plant data

I receive email. One day, I received this one.

I am a Norwegian biology student that has recently become a huge fan of your data art! It's beautiful, really!

What I wanted to ask you, if it's possible for you to help me a little bit on the way of a project I'm starting.

I have had the pleasure of working with a PhD-student here at the university in Bergen, she has taught me so much, and given me a lot of experience in the field, as well as opened up some big career "doors" for me.

She is supposed to deliver her PhD in November and I want to give here a gift to say thank you for all she has done for me.

My idea is this: some sort of visualization of the data she is using in here PhD. She is studying plant communities in Norway, and I have access to the data (plant heights, carbon in the air, thickness of leafs, number of individuals and so on), but i'm not sure how I can make it look beautiful.

So to clarify, I'm not looking for a diagram that is useful or anything, but just pretty to look at, and that is a memory of all the data she has collected, and worked with for the last 4 years. Maybe a diagram in different colors, depending on what the value is, in just a random order... or something...

So do you have any idea of how I can do this? What program do you use when you make your diagrams?

Understand if you dont have the time to answer this, but thank you anyway for reading, and for all you have created!

—Ruben Thormodsæter

I love Norway and I love people that love people who love science.

Since the dataset was a list of 376 individual plants, each annotated with species/genus and growth parameters such as height, mass and so on, and Ruben wanted something that is “not ... useful or anything” but rather “pretty to look at” based on “all the data she has collected and worked with for the last 4 years”.

I thought it would be both useful and pretty to represent the plant data by ... growing trees — in silico. One way to do this is to use an L-system.

So, here's the data

id,year,site,genus,species,height,mass,thick,plot,drought,plotmass,green
AA86T,2019,Lygra,Erica,tetralix,27,0.02115,0.166,1.3,0,,0.675
AA96C,2019,Lygra,Agrostis,capillaris,9,0.01477,0.107,3.3,90,186.39,0.7025
AA99C,2019,Lygra,Pedicularis,sylvatica,4,0.01806,0.064,2.3,50,80.92,0.695625
AB12C,2019,Lygra,Avenella,flexuosa,6.5,0.03173,0.154,3.3,90,186.39,0.7025
AB17C,2019,Lygra,Carex,pilulifera,10,0.04504,0.154,2.3,50,80.92,0.695625
AB30O,2019,Lygra,Vaccinium,myrtillus,9,0.02605,0.116,2.1,0,111.11,0.636875
...

and here's the final poster.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
376 individual plants across 8 plots.
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
The back of the poster shows the species for each plant and its unique identifier.
Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
The legend explains the encoding, in which I represent height, thickness, mass, and plot drought level.

2.2 · Digits of `\pi`

I had such a great time with the L-systems that when Pi Day came around, I grew more trees. This time, using the digits of `\pi` to inform branching and sprouting.

So, for 2021 Pi Day, I tried to see the forest through the digits.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
768 digits of `\pi` depicted as a forest of trees grown with an L-system.

3 · Other covers

Browse my gallery of cover designs.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
A catalogue of my journal and magazine cover designs. (more)
news + thoughts

Happy 2025 π Day—
TTCAGT: a sequence of digits

Thu 13-03-2025

Celebrate π Day (March 14th) and sequence digits like its 1999. Let's call some peaks.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
2025 π DAY | TTCAGT: a sequence of digits. The digits of π are encoded into DNA sequence and visualized with Sanger sequencing. (details)

Crafting 10 Years of Statistics Explanations: Points of Significance

Sun 09-03-2025

I don’t have good luck in the match points. —Rafael Nadal, Spanish tennis player

Points of Significance is an ongoing series of short articles about statistics in Nature Methods that started in 2013. Its aim is to provide clear explanations of essential concepts in statistics for a nonspecialist audience. The articles favor heuristic explanations and make extensive use of simulated examples and graphical explanations, while maintaining mathematical rigor.

Topics range from basic, but often misunderstood, such as uncertainty and P-values, to relatively advanced, but often neglected, such as the error-in-variables problem and the curse of dimensionality. More recent articles have focused on timely topics such as modeling of epidemics, machine learning, and neural networks.

In this article, we discuss the evolution of topics and details behind some of the story arcs, our approach to crafting statistical explanations and narratives, and our use of figures and numerical simulations as props for building understanding.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Crafting 10 Years of Statistics Explanations: Points of Significance. (read)

Altman, N. & Krzywinski, M. (2025) Crafting 10 Years of Statistics Explanations: Points of Significance. Annual Review of Statistics and Its Application 12:69–87.

Propensity score matching

Mon 16-09-2024

I don’t have good luck in the match points. —Rafael Nadal, Spanish tennis player

In many experimental designs, we need to keep in mind the possibility of confounding variables, which may give rise to bias in the estimate of the treatment effect.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Nature Methods Points of Significance column: Propensity score matching. (read)

If the control and experimental groups aren't matched (or, roughly, similar enough), this bias can arise.

Sometimes this can be dealt with by randomizing, which on average can balance this effect out. When randomization is not possible, propensity score matching is an excellent strategy to match control and experimental groups.

Kurz, C.F., Krzywinski, M. & Altman, N. (2024) Points of significance: Propensity score matching. Nat. Methods 21:1770–1772.

Understanding p-values and significance

Tue 24-09-2024

P-values combined with estimates of effect size are used to assess the importance of experimental results. However, their interpretation can be invalidated by selection bias when testing multiple hypotheses, fitting multiple models or even informally selecting results that seem interesting after observing the data.

We offer an introduction to principled uses of p-values (targeted at the non-specialist) and identify questionable practices to be avoided.

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Understanding p-values and significance. (read)

Altman, N. & Krzywinski, M. (2024) Understanding p-values and significance. Laboratory Animals 58:443–446.

Depicting variability and uncertainty using intervals and error bars

Thu 05-09-2024

Variability is inherent in most biological systems due to differences among members of the population. Two types of variation are commonly observed in studies: differences among samples and the “error” in estimating a population parameter (e.g. mean) from a sample. While these concepts are fundamentally very different, the associated variation is often expressed using similar notation—an interval that represents a range of values with a lower and upper bound.

In this article we discuss how common intervals are used (and misused).

Martin Krzywinski @MKrzywinski mkweb.bcgsc.ca
Depicting variability and uncertainty using intervals and error bars. (read)

Altman, N. & Krzywinski, M. (2024) Depicting variability and uncertainty using intervals and error bars. Laboratory Animals 58:453–456.

Martin Krzywinski | contact | Canada's Michael Smith Genome Sciences CentreBC Cancer Research CenterBC CancerPHSA
Google whack “vicissitudinal corporealization”
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