1. Scaling laws of the size distribution of monogenetic volcanoes within the Michoacan-Guanajuato Volcanic Field (Mexico)

2. Michoacan-Guanajuato Volcanic Field
1040 monogenetic volcanoes
Mainly basaltic cinder cones
Used size of m-volcano defined by basal diameter
1 or very few magma pulses
Rivera and Cocos plate subduction
Transmexican Volcanic Belt (TMVB)
Largest intra continental volcanic arc
Estimated morphometric parameters (height, diameter [base and crater], and volume)
Gathered information from topo maps and measurements in the field

3. Conclusions Similar power-law to Gutenberg-Richter
Respect to size-distribution
Log10[N(size>Wco)] = a – b log10[Wco]
b: rate of occurrence between small/large volcanoes
N: # volcanoes with diameter greater than Wco (1.33km)
a = 2.98, b = 5.02, Wco > 1.33 km
Self-organized criticality phenomenon
Monogenetic fields distributed as fractal in size
Formula can be applied to future volcanoes
Assess hazard
B-paramater directly related to monogenetic volcanic activity
Size distribution does not occur randomly

5. Gutenberg-Richter Law
The number of earthquakes of magnitude M is proportional to 10-bM
Look at the graph (all the earthquakes in 1995)
red line gives the Gutenberg-Richter prediction with b = 1. The value of b seems to vary from area to area, but worldwide it seems to be around b=1.