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Three principal analyses were utilized: (1) patch content analysis, (2) corridor content analysis, and (3) network structure analysis.
The movements of the Caribbean spiny lobster (Panulirus argus) were studied in three subregions: (1) patch reefs, (2) forereef, and (3) outlier reef, in and around the Western Sambo Ecological Reserve (WSER) (Florida, USA) using acoustic tags and receivers.
Tissue samples, including forelimb, hindlimb, tail, 1 cm2 patch of dorsal skin and 1 cm2 patch of ventral skin, were taken for histological examination.
k i ( t ) ( i = 1, 2 ) are the population numbers of species x at saturation in patch 1 (patch 2), and k 3 ( t ) is the population number of species y at saturation in patch 1, respectively.
The x-axis numbers denotes the index classes: 0 is exterior, 1 patch, 2 transitional, 3 edge, 4 perforated, and 5 is interior as in Fig. 3; the lines in between the numbers have only visualization purpose.
D i ( t ) ( i = 1, 2 ) are diffusion coefficients of species x. a 1 ( t ) ( a 2 ( t ) ) is the natural growth rate of species x in patch 1 (patch 2), a 3 ( t ) is the natural growth rate of species y, a 13 ( t ), a 31 ( t ) are the inter-species competition coefficients.
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The RABC technique combines two features, derived from the aforementioned properties: 1) patch-based local histogram similarity and 2) contour sampling.
Treatments are 1) Patch-burn grazing (PBG) where one-third of a pasture (the patch) is burned and cattle have full access to the pasture, 2) Graze and burn (GAB) where the entire pasture is burned every third year (2012 was the burn year) and cattle have full access to the pasture, 3) Unburned for greater than three years with no grazing.
Three treatments were applied and assessed: 1) Patch-burn grazing (PBG) or burning one-third of a pasture annually (the patch) with cattle having full access to the pasture, 2) Graze and burn (GAB) or burning pastures completely every three years with cattle having full access to the pasture, and 3) Unburned or no fire for over three years and no cattle grazing during that period.
Figure 1 Patching.
Post-operative antibiotics were administered (i.m. long-acting amoxycillin) and analgesia maintained with a fentanyl (0.2 mg kg−1) patch fixed to the forelimb.
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