dogghr
Well-Known Member
"Random-Cluster Model
Let
be a finite graph, let
be the set
whose members are vectors
, and let
be the sigma-algebra of all subsets of
. A random-cluster model on
is the measure
on the measurable space
defined for each
by
In the above setting, the case
corresponds to a model in which graph edges are open (i.e.,
) or closed (i.e.,
) independently of one another, a scenario which can be used as an alternative definition for the term percolation. For cases
, the random-cluster model models dependent percolation." ----Christopher Stover
Several years ago while reading about some Nobel prize winner's theory of electron movement within matter, the analysis of them moving in Random Clusters was compared to cars traveling down a highway. They weren't all spaced out equally but as each of us have seen typically, were gathered in groups/clusters which are randomly scattered as one travels, hence giving us open road intermixed with times of heavy traffic.
And so along this theory as I began hinge cutting areas of my farm, I gradually realized they were beginning to follow a random fashion allowing possible travel of deer groups , especially bucks. While the initial cuttings weren't planned as such, they developed into this pattern progressing from the bottom/low part of my farm, progression along the downwind side of my food plots, to the upper most ridges on the back of my property.
For the most part, the deer, especially during the rut times, follow these hinge cut areas and the edges they create, hopping from each to the next, traversing the more mature, older, acorn producers of my forest. My goals, as they progressed was to mimic the precolonial hardwood forest that were made up of mature mast producers but inter mixed by thickets created by fire, disease, death, and storms.
I seldom see bedding within the hinges, except for #1, but I do see bedding and definite movement of deer along their edges. Indeed they are place in typical areas of deer movement, in typical topography deer prefer,and on the prevailing downwind direction of my food plots.
I have five Random Clusters following along the east side of my property and while they are separate pockets, over the years of additional hinging, they slowly are becoming more connected.
Of the bucks I considered targets this past year, all of them presented themselves in some fashion in relationship of travel to the Random Clusters, with #2 and 5 being the most productive. My still hunting endeavors that I described on my land thread, all took place with close encounters along my Clusters and the buck and doe taken occurred within a Cluster.
Hinges are made from ground level to shoulder height and larger trees simply fell cut. They aren't particularly thick, just a change in appearance of flora that attracts the deer. I tend to drop trees that are crowding my money maker acorn producers, unwanted shade tolerant trees such as maple, and opening the overstory to allow sunlight and less competition, which promotes better growth of the oaks, and browse growth of the brush.
After hinging an area, I spread WW to attract my turkeys who churn up the ground promoting new growth of the now exposed soils. Fire, which was an important component of the old forests, would be a great choice but I choose not to use that option.
While hinge cutting in itself is not a substitute for selective logging, it is an alternative to more aggressive chainsaw harvests while still promoting a variety of flora.
Random Clusters, just a wild idea with no real empirical support other then my anecdotal observations. I don't claim to be and expert and not sure if my efforts would even be effective on other lands. Take it for what it is worth. A few pictures follow....
Let
In the above setting, the case
Several years ago while reading about some Nobel prize winner's theory of electron movement within matter, the analysis of them moving in Random Clusters was compared to cars traveling down a highway. They weren't all spaced out equally but as each of us have seen typically, were gathered in groups/clusters which are randomly scattered as one travels, hence giving us open road intermixed with times of heavy traffic.
And so along this theory as I began hinge cutting areas of my farm, I gradually realized they were beginning to follow a random fashion allowing possible travel of deer groups , especially bucks. While the initial cuttings weren't planned as such, they developed into this pattern progressing from the bottom/low part of my farm, progression along the downwind side of my food plots, to the upper most ridges on the back of my property.
For the most part, the deer, especially during the rut times, follow these hinge cut areas and the edges they create, hopping from each to the next, traversing the more mature, older, acorn producers of my forest. My goals, as they progressed was to mimic the precolonial hardwood forest that were made up of mature mast producers but inter mixed by thickets created by fire, disease, death, and storms.
I seldom see bedding within the hinges, except for #1, but I do see bedding and definite movement of deer along their edges. Indeed they are place in typical areas of deer movement, in typical topography deer prefer,and on the prevailing downwind direction of my food plots.
I have five Random Clusters following along the east side of my property and while they are separate pockets, over the years of additional hinging, they slowly are becoming more connected.
Of the bucks I considered targets this past year, all of them presented themselves in some fashion in relationship of travel to the Random Clusters, with #2 and 5 being the most productive. My still hunting endeavors that I described on my land thread, all took place with close encounters along my Clusters and the buck and doe taken occurred within a Cluster.
Hinges are made from ground level to shoulder height and larger trees simply fell cut. They aren't particularly thick, just a change in appearance of flora that attracts the deer. I tend to drop trees that are crowding my money maker acorn producers, unwanted shade tolerant trees such as maple, and opening the overstory to allow sunlight and less competition, which promotes better growth of the oaks, and browse growth of the brush.
After hinging an area, I spread WW to attract my turkeys who churn up the ground promoting new growth of the now exposed soils. Fire, which was an important component of the old forests, would be a great choice but I choose not to use that option.
While hinge cutting in itself is not a substitute for selective logging, it is an alternative to more aggressive chainsaw harvests while still promoting a variety of flora.
Random Clusters, just a wild idea with no real empirical support other then my anecdotal observations. I don't claim to be and expert and not sure if my efforts would even be effective on other lands. Take it for what it is worth. A few pictures follow....