Lots of interesting results from the @bodleianlibs staff survey. Pleased to have my suspicions confirmed about my department’s propensity to be accepting of individuals: it’s the only one where a majority of people strongly agreed with the statement “I feel able to by myself at work” and one of only two where *nobody* disagreed with it. That feels like an accurate representation of my experience with my team these last 7-8 years!

# Tag: graphs

## Going Critical

This article is a *repost* promoting content originally
published elsewhere.
See more things Dan's reposted.

If you’ve spent any time thinking about complex systems, you surely understand the importance of networks.Networks rule our world. From the chemical reaction pathways inside a cell, to the web of relationships in an ecosystem, to the trade and political networks that shape the course of history.Or consider this very post you’re reading. You probably found it on asocial network, downloaded it from acomputer network, and are currently deciphering it with yourneural network.But as much as I’ve thought about networks over the years, I didn’t appreciate (until very recently) the importance of simplediffusion.This is our topic for today: the way things move and spread, somewhat chaotically, across a network. Some examples to whet the appetite:

- Infectious diseases jumping from host to host within a population
- Memes spreading across a follower graph on social media
- A wildfire breaking out across a landscape
- Ideas and practices diffusing through a culture
- Neutrons cascading through a hunk of enriched uranium
A quick note about form.Unlike all my previous work, this essay is interactive. There will be sliders to pull, buttons to push, and things that dance around on the screen. I’m pretty excited about this, and I hope you are too.So let’s get to it. Our first order of business is to develop a visual vocabulary for diffusion across networks.## A simple model

I’m sure you all know the basics of a network, i.e., nodes + edges.To study diffusion, the only thing we need to add is labeling certain nodes asactive. Or, as the epidemiologists like to say,infected:This activation or infection is what will be diffusing across the network. It spreads from node to node according to rules we’ll develop below.Now, real-world networks are typically far bigger than this simple 7-node network. They’re also far messier. But in order to simplify — we’re building a toy model here — we’re going to look atgridorlattice networksthroughout this post.(What a grid lacks in realism, it makes up for in being easy to draw ;)Except where otherwise specified, the nodes in our grid will have 4 neighbors, like so:And we should imagine that these grids extend out infinitely in all directions. In other words, we’re not interested in behavior that happens only at the edges of the network, or as a result of small populations.Given that grid networks are so regular, we can simplify by drawing them as pixel grids. These two images represent the same network, for example:Alright, let’s get interactive.…

Fabulous (interactive! – click through for the full thing to see for yourself) exploration of network interactions with applications for understanding epidemics, memes, science, fashion, and much more. Plus Kevin’s made the whole thing CC0 so everybody can share and make use of his work. Treat as a longread with some opportunities to play as you go along.

## A 2016 version of the 1914 Isochronic London/World travel times map

This article is a *repost* promoting content originally
published elsewhere.
See more things Dan's reposted.

## [x-post /r/MegaMegaMegaLounge] [Graph] Tracking ‘engagement’ across the MegaLounges. Why are some Megas more-active than others? (interpretation in comments)

This link was originally posted to /r/MegaMegaMonitor. See more things from Dan's Reddit account.

In /u/10_9_‘s recent thread about gilding trends, /u/razerxs made an interesting observation: that the huge ‘drop offs’ in membership of MegaLounges after /r/MegaMegaMegaLounge does not correlate with their expectations, based upon the level of activity in /r/MegaLoungeV. /u/razerxs

observed that e.g. /r/MegaLoungeV is a highly-active sub, which isn’t necessarily what you’d expect if the activity level was based entirely upon the number of people permitted to have access.

I started wondering if there might be a better predictor of engagement levels. I experimented by looking at the ratio of *how many people ‘subscribe’ to each MegaLounge* to *how many people are permitted into there*. This isn’t a perfect measure of engagement, of course, but my thinking was that of the people who are invited into a MegaLounge, only *some* of those will add it to their front page… but that those who add it to their front page are more-likely to actively participate.

The graph shows three things. From the left axis, the blue and red lines show the number of people who are *allowed* into each MegaLounge and the number of people who are *subscribed* to each MegaLounge. As you might expect, there’s a gap between the two and the gap narrows in higher lounges, where there are fewer people.

But what I was interested in is whether and where this gap changes proportionally: is the “subscription rate” among eligible people higher in particular lounges, and can this been seen as a predictor of activity levels and engagement rates in each lounge? That’s what the green bars show (against the right-hand axis: note that it doesn’t start at zero). In general, across the MegaLounges up to and including /r/MegaLoungeSol, there *does* seem to be a slight upward trend: i.e. the higher a lounge you’re in, the more-likely that eligible people are to add that lounge to their front page. Beyond /r/MegaLoungeSol the bars jump around all over the place, probably because of the small number of people ‘up there’, and I suggest that we ignore them: accuracy of this as a predictor would be expected to be better where there were more subscribers: say, up to about /r/MegaLoungeDiamond.

What this would predict would be a “lull” at /r/MegaLoungeVIII. I don’t know if that’s your experience or not. And, interestingly, the ‘subscription ratio’ at /r/MegaLoungeV and /r/MegaLoungeX are also unusually low, bucking the overall trend. What does this mean? I don’t know. But if /r/MegaLoungeV really *is* to be considered one of the more “active” MegaLounges, then I think that we can safely say that my hypothesis – that we might be able to predict activity hotspots by looking at the subscription rate – is not backed up by the data.

Still: interesting stuff.

## [graphs!] MegaMegaMonitor usage/achievement rates at different levels of the MegaLounge chain (more details in the comments)

This link was originally posted to /r/MegaMegaMonitor. See more things from Dan's Reddit account.

## Just for fun, I’ve pre-generated ascension graphs for everybody in MegaLoungeIndia

This self-post was originally posted to /r/MegaLoungeIndia. See more things from Dan's Reddit account.

As described over there, I’ve come up with a way to make graphs of the speed of everybody’s ascension through the MegaLounges. But because everybody up here in /r/MegaLoungeIndia is *far* too important to have to ask for things for themselves, I’ve pre-generated graphs for you all. Here they are:

- How /u/tl2horse rocketed up from VII to the secret megalounge
- /u/i_say_i_say did something similar, but stopped to take a tour of the solar system
- /u/love_the_heat‘s sprint was between X and Mars
- /u/Gold_4_No_Reason started early, starting a fast progression from VI through Mars
- Sorry, /u/Greypo – the stats generator doesn’t work for you because there exist MegaLounges that you gained access to
*out of order*!

Hope that provides some amusement and diversion to you all.

## MegaLoungeVII is the most-generous of the first 15 MegaLounges! (and other interesting statistics) [x-post /r/MegaMegaMonitor]

This self-post was originally posted to /r/MegaLoungeVII. See more things from Dan's Reddit account.

Thanks to the data that /r/MegaMegaMonitor collates, I’ve been able to throw together some fun statistics about the MegaLounge chain. Let me share some graphs with you:

**Number of accounts at each level**

There are 3,020 accounts authorised to access /r/MegaLounge, 906 in /r/MegaMegaLounge, 487 in /r/MegaMegaMegaLounge, 307 in /r/MegaLoungeIV, and similarly fewer and fewer in each subsequent lounge. There’s a mini “tipping point” after /r/MegaLoungeUK, for some reason – did everybody who got that far just decide to stop?**Gildings per MegaLounge**

As you’d probably expect, the lower (and more-populous) MegaLounges see more gilding than the higher ones. But…**MegaLounge generosity ratio**

…if we take the*ratio*of the number of gildings per MegaLounge to the number of*accounts*in that MegaLounge, we get a ‘generosity score’, and that’s not so clear-cut. The most generous MegaLounges are /r/MegaLoungeSol and the secret MegaLounge, followed by /r/MegaLoungeDiamond, /r/MegaLoungeRussia, /r/MegaLoungeVII, and /r/MegaLoungeVI. I wonder if these are also the lounges with the least content? Perhaps they’re places that people stop off at only as a steping stone on their journey?

The least-generous MegaLounge is the latest one, probably because there’s nowhere to*go*yet as a result of being gilded there, but the second least-generous… is /r/MegaLounge itself! I feel like I should go there and gild some people, just to buck the trend!**Most-gilded Redditors in the MegaLounges**

It’s possible to get from /r/MegaLounge up to /r/MegaLoungeIndia with just 33 gildings, but nine Redditors have impressed others with their MegaContent so much that they’ve attracted significantly more. /u/love_the_heat leads the way with a massive 76 MegaGildings, followed by /u/Gold_4_No_Reason and /u/madazzahatter (there’s quite a gap, then, before I come in at fourth place).

This is all just something fun I threw together while I’ve been off work sick today. If there’s anything else that anybody would like to see extracted from MMM’s data, let me know: it’s all interesting stuff!

## MegaLoungeSol is the most-generous MegaLounge (highest gilding-to-member ratio) in the entire chain! Congratulations!

This link was originally posted to /r/MegaLoungeSol. See more things from Dan's Reddit account.

## I’ve run some statistics on MegaLounge chain membership, gilding levels, generosity and whatnot, over on /r/MegaMegaMonitor, if you’re interested. There’s pretty graphs!

This link was originally posted to /r/MegaLoungesArmy. See more things from Dan's Reddit account.

## Some graphs about the MegaLounge chain

This self-post was originally posted to /r/MegaMegaMonitor. See more things from Dan's Reddit account.

Thanks to the data that MegaMegaMonitor collates, I’ve been able to throw together some fun statistics about the MegaLounge chain. Let me share some graphs with you:

**Number of accounts at each level**

There are 3,020 accounts authorised to access /r/MegaLounge, 906 in /r/MegaMegaLounge, 487 in /r/MegaMegaMegaLounge, 307 in /r/MegaLoungeIV, and similarly fewer and fewer in each subsequent lounge. There’s a mini “tipping point” after*the x28 MegaLounge*, for some reason – did everybody who got that far just decide to stop?**Gildings per MegaLounge**

As you’d probably expect, the lower (and more-populous) MegaLounges see more gilding than the higher ones. But…**MegaLounge generosity ratio**

…if we take the*ratio*of the number of gildings per MegaLounge to the number of*accounts*in that MegaLounge, we get a ‘generosity score’, and that’s not so clear-cut. The most generous MegaLounges are /r/MegaLoungeSol and the secret MegaLounge, followed by /r/MegaLoungeDiamond, /r/MegaLoungeRussia, /r/MegaLoungeVII, and /r/MegaLoungeVI. I wonder if these are also the lounges with the least content? Perhaps they’re places that people stop off at only as a steping stone on their journey?

The least-generous MegaLounge is the latest one, probably because there’s nowhere to*go*yet as a result of being gilded there, but the second least-generous… is /r/MegaLounge itself! I feel like I should go there and gild some people, just to buck the trend!**Most-gilded Redditors in the MegaLounges**

It’s possible to get from /r/MegaLounge up to*the x35 MegaLounge*with just 33 gildings, but nine Redditors have impressed others with their MegaContent so much that they’ve attracted significantly more. /u/love_the_heat leads the way with a massive 76 MegaGildings, followed by /u/Gold_4_No_Reason and /u/madazzahatter (there’s quite a gap, then, before I come in at fourth place).

This is all just something fun I threw together while I’ve been off work sick today. If there’s anything else that anybody would like to see extracted from MMM’s data, let me know: it’s all interesting stuff!