Radeen wrote conclusion and rest of analysis

2 files changed, 147 insertions, 0 deletions

diff --git a/src/analysis2.i b/src/analysis2.i
index 7828ad1..d328978 100644
--- a/src/analysis2.i
+++ b/src/analysis2.i
@@ -12,3 +12,124 @@ observed distributions, resulting in striking evidence that these pit%'
 dsitributions do not conform to a uniformly random independent
 distribution of each pit, with all (except one) distributions of
 antlions having $p<0.05.$
+
+As a result of the statistical analysis procedure, during which the
+settlement patterns of antlions in a given trial were compared to a
+completely random settlement, a clear correlation was shown between the
+settlement patterns of the antlions. However, for an effective
+conclusion to be drawn about the antlions settlement patterns as a group
+and the modes of communication that they may rely on the settlement
+patterns of individual antlions (such as average pit depth, pit width,
+and the rate of reclusive and cannibalism) had to be examined first.
+With this in mind, several clear patterns were observed throughout
+various trial sizes and communication conditions. For starters, a clear
+increase in the reclusive population as trial size decreased was
+observed in every obstacle condition, as the amount of reclusive
+increased from one ($24\times24$) to two ($12\times12$) during the trail
+erasure trial. The same results are shown across the trial with fake
+pits, where the number of reclusive antlions increased from one to four,
+and the obstacle trial, where the amount of reclusive antlion increased
+from zero to three. In summary, the number of reclusive antlions
+increased by an average of 2.333 antlions, or an increase of 233.3%,
+which marks quite a significant change. This change indicates that the
+introduction of various obstacles and interference in other modes of
+communication can change the natural settlement patterns of the
+antlions, as a significantly larger number of reclusive antlions were
+observed during trials with artificial pits, indicating that the density
+of pits in a given area affects how antlions settle the territory. This
+analysis makes biological sense, as by regulating the density of
+antlions in a given territory the organisms can reduce intraspecies
+competition, which in turn helps the species reproduce more as a whole,
+thereby explaining the phenomenon.  Along with this, a dramatic change
+in the cannibalistic nature of the antlions was noticed once various
+obstacles were introduced, as it was noted in the previous study that
+the number of cannibalized antlions increased by an average of 13.9785%
+when the trial size was reduced with no obstacles or communication
+interference. This differs from the trend in cannibalism noted
+throughout the following trials, as the data clearly shows how the rate
+of cannibalism tended to decrease across various trials, with the
+exception of the first two trials where pits were removed, as shown by
+graph 1. This indicates that the antlions’ cannibalistic nature is
+affected by environmental conditions such as changes in terrain and
+other obstacles, which could be a response to an interrupted
+communication pattern that results in a closer settlement, which intern
+would increase the contact between each antlion, thereby leading to more
+cannibalism. Finally, along with a trend in reclusivity and cannibalism,
+a trend was noticed in the average pit depth across all trials, as it
+decreased as trial size decreased throughout the study, regardless of
+the obstacles introduced (Graph 1).  This indicates that the size of
+pits made by antlions is independent of the mechanisms that govern how
+they settle, as the study was able to alter all of the settlement
+patterns of the antlions through the introduction of obstacles except
+for the average pit depth, which maintained a constant pattern through
+the introduction of obstacles and the original trial from a previous
+year. This indicates that the average pit depth does not depend on their
+settlement pattern of the antlion community as a whole, but rather is
+dependent on factors such as time and available resources.
+
+Following the analysis of individual pit patterns, a large scale
+analysis of the settlement pattern of the antlion groups as a whole was
+conducted in order to determine how the introduction of various
+obstacles and environmental conditions altered the group settlement
+patterns of the antlions. During this analysis, several key patterns
+emerged from the antlions distribution. For starters, the average
+nearest neighbor remained relatively constant across all trials and
+environmental conditions, except for when a series of fake pits were
+introduced to the environment, as the average nearest neighbor ranged
+from 2.1-3.9 (graph 2) for all trials except the $24\times24$ trial with fake
+pits, where the average nearest neighbor increased to 8.7. Furthermore,
+the nearest neighbor varied the most across the fake pit trial, as it
+decreased by about 5.5 inches, which differed from the trial with trail
+erasure where the nearest neighbor decreased by about 1.95 inches, and
+the trial where obstacles were introduced, during which nearest neighbor
+reminds constantly. This indicated that the spatial distribution of the
+antlions is most likely dependent on several environmental conditions,
+each of which has a varying impact on the antlions patterns. Another
+settlement pattern that became clear throughout the trial was shown in
+the Voronoi diagrams, pictured below, which illustrate the settlement of
+every pit in a trial and show the “territory” occupied by each antlion.
+Based on the aforementioned Voronoi diagrams, and statistical analysis,
+it can be effectively concluded that the antlions maintain a non-random
+distribution pattern across all trial sizes and environmental
+conditions, as the antlions near the middle of the habitat maintain
+about five neighbors at all times, a principal that is clearly shown by
+examining the centermost pit in the Voronoi diagrams, as the territory
+occupied by each antlion almost always makes a pentagon shape. Finally,
+a closer examination of the Voronoi diagrams illustrates how the
+antlions tended to maintain a constant pattern across both changes in
+environment and changes in habitat size, as the average territory
+occupied by each antlion remains statistically constant throughout all
+trial sizes and environmental conditions, indicating that the antlions
+distribute in a way that maintains a constant proportion between each
+pit, thereby reducing cannibalism and competition.
+
+Based on the settlement patterns of the antlions on both, an individual
+and group scale several conclusions can be drawn about the environment's
+impact on the settlement patterns of the insect along with the
+mechanisms that antlions use to settle in a non-random pattern. With
+this in mind, one of the most evident patterns in the data was the
+impact of fake pits on the antlions settlement, as when fake pits were
+introduced to the environment the rate of cannibalism and reclusivity
+among the antlion population increased significantly, as shown by graph
+1. Along with this, the Vovrinoi diagrams illustrate how the antlions
+tended to space themselves away from fake pits when settling,
+represented by the abnormally high average nearest neighbor during this
+trial, as the average nearest neighbor increased significantly during
+the trial with fake pits, as shown by graph 1. This indicates that the
+settlement pattern of the antlions is highly dependent on the existence
+of pits around them, as by introducing fake pits into the environment
+the natural non-random distribution of the antlions was disturbed the
+most, thereby showing that the pits and deformities in terrain that
+antlions come into contact with influence where they settle the most.
+This principle makes biological sense, as by spacing themselves away
+from one another the antlions are allowing for an equal spread of
+resources, thereby helping the species as whole progress more
+efficiently. Along with this the increase in reclusivity and cannibalism
+observed during this trial also indicates that the presence of pits
+influences the settlement patterns of the insect, as the sharp increase
+in extreme behavior patterns indicates that the antlions are attempting
+to adapt to the introduction of a new environmental extreme. With this
+in mind, it can be concluded that antlions rely on the density of pits
+in a given region to settle, as well as the density of trails
+surrounding a given region, as the interference with these two
+environmental conditions disrupted the antlions the most.
diff --git a/src/conc2.i b/src/conc2.i
new file mode 100644
index 0000000..87791cd
--- /dev/null
+++ b/src/conc2.i
@@ -0,0 +1,26 @@
+Based on the trends observed throughout the study it can be concluded
+that antlions are dependent on a number of environmental conditions when
+they settle. This is shown through the various effects that introducing
+various environmental conditions had on their antlions settlement, as
+introducing fake pits into the habitat significantly increased the
+antlions tendency for extreme behavior and caused the standard
+distribution pattern they follow to be altered the most, as shown by
+Graph 2, which illustrates how the most extreme values for pit depth,
+nearest neighbor, and cannibalism occurred when fake pits were
+introduced to the enclosure. Along with this, the data suggests that
+antlions are also dependent on the presence of antlions trials in an
+area, as the trials where trails were erased also slightly altered the
+settlement patterns of the antlions. Finally, it can be concluded that
+obstructions such as rocks have a minimal effect on the antlions
+distribution patterns, as the trial with the introduction of rocks and
+obstacles did not result in any extreme behavior from the antlion
+population. With these patterns in mind, it can be concluded that
+antlions do not have a method of communication, as their settlement
+patterns were disturbed by normal environmental conditions. Despite
+this, it can also be concluded that antlions distribute in a non-random
+way in an enclosure, as shown by the aforementioned statistical
+analysis, thereby indicating that antlions rely on several environmental
+and local indicators to determine where to settle, such as the density
+of pits in a given region and the prevalence of trials near a given
+territory.  
+