rank size – The CASA Blog Network

Urban Clusters and Agglomeration

Posted on Monday 5 February 2018 by Michael Batty

A new paper from our group. Click here for the paper and also for the issue of Environment and Planning B . Abstract: Agglomeration economies are a persistent subject of debate in regional science and city planning. Their definition turns on … Continue reading →

city size, complexity, Interactions, networks, power laws, rank size, Scaling

City size: Spatial dynamics as temporal flows

Posted on Sunday 27 December 2015 by Michael Batty

Robin Edwards and myself have improved our visualisation of city size and rank over time and this is now published as a featured graphic in Environment and Planning A in their forthcoming material. It is quite hard to represent three variables in a two-dimensional … Continue reading →

city size, clocks, rank size, Scaling

Optimal Cities, Ideal Cities

Posted on Friday 31 July 2015 by Michael Batty

Ideal Cities, such as Frank Lloyd Wright’s Mile High Tower The Illinois (pictured here), and Le Corbusier’s City of Tomorrow have fallen out of fashion in recent years. But the rise of the smart city and the notion of the instrumented … Continue reading →

city size, Economies of scale, Hierarchy, rank size

Cities in a Completely Urbanised World

Posted on Saturday 16 May 2015 by Michael Batty

By the end of this century, we will all be living in Cities but what does this really mean? I have given various talks and written various editorials on this prospect but have never really thought much about what this … Continue reading →

city size, Hierarchy, rank size, Scaling

Visualising Ranks and Size in Space and Time

Posted on Saturday 6 December 2014 by Michael Batty

Alluvial diagrams were first proposed to represent changes in network structure over time. Robin Edwards from CASA has implemented the tool and has several examples from social and political arrays which he shows in his blog GeoTheory. Rosvall and Bergstrom’s popularisation of … Continue reading →

city size, clocks, complexity, flows, rank size, Scaling

The Israel Pollak Lectures at Technion

Posted on Friday 7 March 2014 by Michael Batty

This past week I have been giving the Israel Pollack distinguished lecture series at Technion in Haifa, the School of Architecture and Town Planning, talking about smart cities and big data (PDF here), and rank clocks and scaling (PDF here). … Continue reading →

Allometry, Big Data, complexity, emergence, LUTI models, power laws, rank size, Scaling, Smart Cities

Complexity Lectures Begin

Posted on Saturday 23 February 2013 by Michael Batty

Returned from my travels only to be confronted with yet another lecture course which you can get from this blog, but the innovation is that I am backing up the course with the wonderful Santa Fe lectures on complexity led … Continue reading →

Agent Based Models, Cellular Automata, complexity, emergence, entropy, Fractals, Hierarchy, Interactions, power laws, rank size, Scaling

There is More Than a Power Law in Zipf

Posted on Thursday 8 November 2012 by Michael Batty

Check out our paper in Scientific Reports published on the 6th November. Click to Open Access, so no fear of breaking copyright by reading it ! What a surprise. We or rather a grant paid for it. What we argue … Continue reading →

city size, Fractals, power laws, rank size, Scaling

Santa Fe, Complexity, Cities

Posted on Wednesday 11 July 2012 by Michael Batty

The Mathematical Puzzle That Is the Complexity of the City: An interesting article in the Atlantic Cities pages by Samuel Arbesman on how we are developing this science of cities – a prelude the workshop at Santa Fe this week … Continue reading →

Allometry, city size, complexity, Hierarchy, power laws, rank size, Scaling

Spatial Complexity 2011-11-01 02:50:49

Posted on Tuesday 1 November 2011 by Michael Batty

Click left for the lecture or above on Lecture 7. More on entropy and information here, and I rework some of the material of Lecture 6. Note the random collisions model and run Chen’s online movie and have look at … Continue reading →

entropy, flows, Information, rank size, Scaling

Spatial Complexity 2011-10-25 01:16:48

Posted on Tuesday 25 October 2011 by Michael Batty

You can now download the fourth lecture from the Menu Item above, Lecture 4, or click the icon to the left of this post. This lecture continues the first kind of scaling based on size distributions focussing on names, high … Continue reading →

Allometry, clocks, Economies of scale, power laws, rank size

Spatial Complexity 2011-10-23 14:05:06

Posted on Sunday 23 October 2011 by Michael Batty

You can now download the third lecture from the Menu Item above, Lecture 3, or click the icon to the left of this post. This lecture focuses on the first kind of scaling which pertains to city size distributions. We look at … Continue reading →

city size, clocks, power laws, rank size, Scaling