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Kernel Home Range Estimation for ArcGIS, using VBA - Fish and ...

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equal to or smaller than the distance typically traveled in the given sampling interval<br />

(displacement distance)(Figure 7.2.a.), then in theory, the animal would have left the area by the<br />

next sampling event (Figure 7.2.b.). Resightings in that area should only occur if the animal<br />

chose to stay in the area instead of moving its typical interval distance, or if it subsequently<br />

returned to the area (Figures 7.2.c-e). In both cases it is fair to assume that a high density of<br />

location estimates may reflect biological importance to the animal.<br />

a b c d e<br />

Figure 7.2. Appropriate choice of smoothing parameter based on the structure of the location<br />

data (sampling schedule) <strong>and</strong> the movement behavior of the species (displacement<br />

distance).<br />

ABODE provides a smoothing selection function in which the user can enter the sampling interval<br />

<strong>for</strong> the given dataset. This is the smoothing function “Displacement”. If ancillary data that include<br />

the day, month, <strong>and</strong> year of each location are provided, then ABODE will search the dataset <strong>and</strong><br />

find all consecutive location estimates <strong>for</strong> the given interval. The distance traveled between the<br />

locations will be calculated, <strong>and</strong> the arithmetic mean thereof will be used as the smoothing<br />

parameter <strong>for</strong> the dataset. In reality, not all studies will have the luxury of a generally consistent<br />

sampling interval. Many data are collected opportunistically, <strong>and</strong> will thus have an irregular<br />

sampling schedule. In such cases, ABODE can look <strong>for</strong> a sampling interval that best represents<br />

the data. The user should decide which measure of central tendency would best represent the<br />

data. ABODE can look <strong>for</strong> the median, mean <strong>and</strong> mode sampling interval. Be<strong>for</strong>e making a<br />

selection, the user should underst<strong>and</strong> the implications that outliers in the data will have on each<br />

estimate. It may be best to run all three analyses <strong>and</strong> choose a method that seems most<br />

appropriate.<br />

Sample size considerations dictate that ABODE uses a range of values <strong>for</strong> its search criteria.<br />

The mean sampling interval may not even be represented in the dataset, or may, at best, be<br />

represented by only a few actual data pairs. To base a travel distance on such a small sample<br />

size may produce undesirable results. Similarly, the median sampling interval may only be<br />

represented once in a dataset, <strong>and</strong> the mode, at least twice. ABODE will search <strong>for</strong> sampling<br />

intervals within a range that operates on an increasing scale (Table 1.). If the interval ABODE is<br />

searching <strong>for</strong> is less than 7 days, then the tolerance (on either side) is 0 days. If the interval is<br />

38

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