removed sections of analysis2

1 files changed, 90 insertions, 97 deletions

diff --git a/src/analysis2.i b/src/analysis2.i
index cd7cba9..9bc616c 100644
--- a/src/analysis2.i
+++ b/src/analysis2.i
@@ -13,59 +13,51 @@ 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.
+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
@@ -76,32 +68,33 @@ 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.
+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
@@ -115,21 +108,21 @@ among the antlion population increased significantly, as shown by graph
 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.
+the trial with fake pits, as shown by graph 1. 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 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.