- #Make plots in power world simulator how to#
- #Make plots in power world simulator movie#
- #Make plots in power world simulator download#
The clustering coefficient for the entire network is the average of the clustering coefficients of all the nodes. It is, in essence, a measure of the "all-my-friends-know-each-other" property. That is because the time it takes for the Floyd Warshall algorithm (or other "all-pairs-shortest-path" algorithm) to run grows polynomially with the number of nodes.Ĭlustering Coefficient: The clustering coefficient of a node is the ratio of existing edges connecting a node's neighbors to each other to the maximum possible number of such edges. You may have noticed that the model runs slowly for large number of nodes.
In order to find the shortest paths between all pairs of nodes we use the (). This shows us, on average, the number of steps it takes to get from one node in the network to another. StatisticsĪverage Path Length: Average path length is calculated by finding the shortest path between all pairs of nodes, adding them up, and then dividing by the total number of pairs. The AVERAGE-PATH-LENGTH and CLUSTERING-COEFFICIENT monitors display the values for the entire network. The NODE-PROPERTIES monitor displays the average path length and clustering coefficient of the highlighted node only. The amount of yellow between neighbors gives you a sort of indication of the clustering coefficient for that node. Edges connecting the neighbors of the node to each other turn yellow. Its neighbors and the edges connecting the node to those neighbors turn orange. When you press HIGHLIGHT and then point to a node in the view it color-codes the nodes and edges. Running REWIRE-ALL at multiple probabilities produces a range of possible networks with varying average path lengths and clustering coefficients. Changing the REWIRING-PROBABILITY slider changes the fraction of edges rewired during each run. The resulting network properties are then plotted on the "Network Properties Rewire-All" graph. In other words, it asks each edge to roll a die that will determine whether or not it is rewired. Pressing the REWIRE-ALL button starts with a new lattice (just like pressing SETUP) and then rewires all of the edges edges according to the current REWIRING-PROBABILITY. It will always rewire one exactly one edge in the network that has not yet been rewired unless all edges in the network have already been rewired. The REWIRE-ONE button ignores the REWIRING-PROBABILITY slider. Pressing the REWIRE-ONE button picks one edge at random, rewires it, and then plots the resulting network properties in the "Network Properties Rewire-One" graph. The NUM-NODES slider controls the size of the network.
#Make plots in power world simulator how to#
See the Statistics section of HOW TO USE IT on how these are calculated.
Networks with short average path lengths and high clustering coefficients are considered small world networks. Particularly, we're interested in identifying "small worlds." To identify small worlds, the "average path length" (abbreviated "apl") and "clustering coefficient" (abbreviated "cc") of the network are calculated and plotted after a rewiring is performed. Over time, we analyze the effect this rewiring has the on various connections between nodes and on the properties of the network. Using this a base, we then modify the network by rewiring nodes–changing one end of a connected pair of nodes and keeping the other end the same. It begins with a network where each person (or "node") is connected to his or her two neighbors on either side. This model is an adaptation of the Watts-Strogatz model proposed by Duncan Watts and Steve Strogatz (1998). This model illustrates some general, theoretical conditions under which small world networks between people or things might occur. Other examples range from power grids to the neural networks of worms.
#Make plots in power world simulator movie#
This model explores the formation of networks that result in the "small world" phenomenon - the idea that a person is only a couple of connections away from any other person in the world.Ī popular example of the small world phenomenon is the network formed by actors appearing in the same movie (e.g., " Six Degrees of Kevin Bacon"), but small worlds are not limited to people-only networks. You can also Try running it in NetLogo Web
#Make plots in power world simulator download#
If you download the NetLogo application, this model is included.