Equillibrium Density

g++ densities_tp.cpp cluster_dynamics.cpp -fopenmp 

Table below is for q=0.

Cover	p	Cover	p	Cover	p	Cover	p	Cover	p	Cover	p
0.20	0.638	0.30	0.656	0.40	0.678	0.50	0.707	0.60	0.743	0.70	0.788
0.21	0.640	0.31	0.658	0.41	0.681	0.51	0.710	0.61	0.747	0.71	0.793
0.22	0.642	0.32	0.660	0.42	0.684	0.52	0.714	0.62	0.751	0.72	0.798
0.23	0.643	0.33	0.662	0.43	0.686	0.53	0.717	0.63	0.755	0.73	0.803
0.24	0.645	0.34	0.664	0.44	0.689	0.54	0.721	0.64	0.760	0.74	0.808
0.25	0.647	0.35	0.666	0.45	0.692	0.55	0.724	0.65	0.764	0.75	0.814
0.26	0.648	0.36	0.668	0.46	0.695	0.56	0.728	0.66	0.769	0.76	0.820
0.27	0.650	0.37	0.671	0.47	0.698	0.57	0.731	0.67	0.773	0.77	0.825
0.28	0.652	0.38	0.673	0.48	0.701	0.58	0.735	0.68	0.778	0.78	0.831
0.29	0.654	0.39	0.676	0.49	0.704	0.59	0.739	0.69	0.783	0.79	0.837

Probability of Percolation

g++ percolation_probabilities_dp.cpp cluster_dynamics.cpp -fopenmp 

Enter grid size: 32
Enter starting p: 0.717
Enter ending p: 0.727
Enter divisions: 11
Enter number of census: 10000
Enter lag in terms of frames: 10 

p: 0.717 P: 0.144
p: 0.718 P: 0.149
p: 0.719 P: 0.176
p: 0.720 P: 0.187
p: 0.721 P: 0.21
p: 0.722 P: 0.228
p: 0.723 P: 0.239
p: 0.724 P: 0.264
p: 0.725 P: 0.275
p: 0.726 P: 0.296
p: 0.727 P: 0.309

CPU Time: 216 seconds 

Cluster Size Distribution

A group of vegetated sites that share nearest neighbours form a cluster. Uses DFS for UF. May experience segmentation faults for large grids (>512).

g++ cluster_sizes_dp.cpp cluster_dynamics.cpp 
./a.out 

Enter grid size: 512
Enter birth probability: 0.724
What is the corresponding density? 0.55
Enter updates per site: 25000
Enter number of census: 1000
Enter lag between frames: 10
Which replicate is this?: 1
Do you want to collect frames? Answer with 1 or 0: 0 

Average Cluster Size

g++ average_cluster_size_np.cpp cluster_dynamics.cpp -fopenmp
./a.out 

Enter grid size: 64
Enter starting p: 0.55
Enter ending p: 0.65
Enter divisions: 11
Enter number of census: 100
Enter lag in terms of frames: 10 

p: 0.55 S: 11.2
p: 0.56 S: 12.3
p: 0.57 S: 14
p: 0.58 S: 14.2
p: 0.59 S: 14.1
p: 0.6 S: 12.2
p: 0.61 S: 10.8
p: 0.62 S: 9.12 
p: 0.63 S: 6.85 
p: 0.64 S: 4.95
p: 0.65 S: 3.69 

CPU Time: 74 seconds 

Cluster Dynamics

Calculates size change after a single update. Uses DFS for UF. May experience segmentation faults for large grids (>512).

g++ transformations_dp.cpp cluster_dynamics.cpp 
./a.out 

Enter grid size: 512
Enter birth probability: 0.724
What is the corresponding density? : 0.55
Enter updates per site: 25000
How many transformations do you want? Enter a number: 2000000
Which replicate is this? : 1