* Thanks for the link to Anderson's paper at http://www.worldnpa.org/site/abstract/?abstractid=6482
* I read most of it now, but I don't understand what D means, which he says is typically about 1.6 or so for dendritic forms or Lichtenberg figures. I'm copying parts of the paper below, after a brief discussion first.
* Here's an image from Anderson’s paper showing a braided river system next to dendritic forms: https://docs.google.com/gview?url=http% ... er=6&w=796Evidence of Dendritic Water Flow Patterns
* I'm certainly willing to consider evidence of electric discharge carving of Earth features, but I'm not convinced yet that all dendritic patterns in geological features are electrical effects. Water flow seems to produce dendritic patterns too. I don't think the TPODs that discussed the carving of the Grand Canyon mentioned anything about the beach lines of the former large lakes that were held back by the Grand Canyon plateau. Had I known about those, I think I would have felt much less certain that the canyon was carved electrically. What was convincing about Juergens' description of lunar rilles as electrical effects was the fact that the rilles often go up and down over terrain. If you can show me rilles on Earth that go upward at least part of the way, I'd be very impressed. Such is often the case on Mars. The dendritic patterns there are often upside down, which is strong evidence for electrical formation from above. I don't see that on Earth so far, except for possible single channels running up the high points of some ridges, which I think needs further verification.
* I spent a few hours now doing net searches. I found that the Roper River delta in Australia appears to be dendritic, yet flooding should wipe out such features: http://www.hedgehoghouse.com/stock/thumbnails/255000/255523.jpg
* Here, Roper River flooding is discussed: http://www.bom.gov.au/lam/climate/levelthree/c20thc/flood10.htm
* This seems to show that dendritic patterns are common at the higher elevations in water erosion, while lower elevations take the braided form: http://www.funpeak.com/funnypics/ground-fractal.jpg
* Here are common dendritic patterns in sand: http://www.google.com/search?q=dendritic+sand&tbm=isch&source=og&sa=N&tab=wi&ei=zmv0T7OND4bL6wGX4ujABg&biw=939&bih=400&sei=0mv0T9mxE6qo6wGqqszlBg
.From Anderson's Paper
- The box counting method was used to determine the fractal dimension D, which is the same as the Hausdorff-Besicovitch dimension for 1 ≤ D ≤ 2. In this procedure, the algorithm places a grid over the picture and boxes with increasing numbers of pixels are used to fill in the black region of the picture. The resulting counts of boxes, N, of size s associated with the filled in picture is given by: log N = D log 1/s, where D is the slope of the line and fractal dimension from a log-log plot of the number of boxes N as a function of box sizes. The images were reduced by the skeletonization algorithm in ImageJ to gauge the extent of branching, yielding a pseudo-assessment of self-similarity in the primary pattern of the geologic landform.
- The EU community further holds that there have been and still are dense plasma discharges on planetary surfaces [6, 7]. These arise from impingement of a roving Birkelend current, the surface of another body at a different potential, or a sudden large flux from a coronal discharge. A coronal discharge could also be caused by a large current flux, which is consistent with electric sun theories put forth by Juergens  and Alfven . It was hypothesized that a sudden increase in output of the sun, only 4 times the current solar output, would lead to such large electric fields that our atmosphere would have to break down and carry the current to the earth’s surface. Thomas Gold put forth a description of such an event:
- “It is of interest to consider the magnetic storm effects of such an outburst….A magnetic storm of that kind [4 times the current output of the sun] would be a totally different kind of phenomenon from the usual one. The Earth’s magnetic field could clearly not hold up the incoming gas, and it would indeed drive down to the atmospheric level where the gas pressure can resist further flow. At that level the atmosphere is dense and the ionization that could be maintained would not result in good conductivity. The incoming gas bringing its strong field into the virtually insulating atmosphere would then result in very large electric fields so directed that the resulting currents would maintain those fields. But in the atmosphere that can be done only by electrical breakdown…This breakdown would be in the form of a series of sparks, burning for extended periods of time and carrying currents in the hundreds of millions of amperes. One might search whether there is any geological record or surface fusing and vitrification of rock or sand which cannot be accounted for by volcanic or meteoritic events. Large quantities of glass, far too much to be made by ordinary lightning discharges, are indeed found on the surface in a few places, notably in the Libyan Desert. Perhaps it might be worthwhile to pursue this clue further…” 
- For the sake of this paper, a catastrophic view will be accepted in which a large discharge event took place that sparked through the dielectric medium of the atmosphere and discharged current into the earth’s crust. This discharge event was decidedly different than typical auroral currents observed today. As Gold points out, if the auroral currents were to increase, the plasma instabilities would progress to near the equator, where finally the atmosphere would become unstable and unable to carry the current flux. The plasma discharge would then erupt from glow current mode to arcing, resulting in numerous current paths to the surface of the earth. The discharge results in some type of pattern from the primary discharge stroke and subsequent distribution of charge which can take the form of craters, sinuous rilles, or stochastic patterns, more commonly known as Lichtenberg patterns. Lichtenberg patterns form when an electric arc strikes a grounded plate beneath a dielectric material.
- ... Recent fluvial events were needed to calibrate the fluvial fractal dimension. Most rivers chosen for this analysis were braided networks with known, regular tidal basins such as the Mississippi (North America), Amazon (South America), Nile (Northern Africa), and the rivers of New Zealand (Rakaia and Waimakariri). Braided networks were chosen because they are a type of river that is not constrained by surrounding geology and thus take on a morphology dictated by flow rate. Chosen for analysis in this paper as flood inundations were recent mud volcanic events and other known flood events.
- ... The work [of Anthony Peratt] strongly suggests that many petroglyphs recorded extreme auroral plasma events early in human history. ... The images correlated with the modeling of a concentric, columnar discharge tube at both poles of the earth. ... The appearance and preservation of these stone messages, particularly in light of their exact representations and field of view orientations, are very likely depictions of extremely large plasma instabilities and possibly discharge events. This would only occur if we assume the sun to have varied in output in the recent past. This is not an altogether unreasonable assumption, since there are variable stars that exhibit up to 4-5 times in solar output with regular periodicity .