Monte Carlo empirical square coefficient of error and corresponding mean predictors.

<p>(A, B, C) Monte Carlo results corresponding to <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0141868#pone.0141868.g001" target="_blank">Fig 1A</a>, for fundamental box side lengths <i>T</i> = 200,250,300 pixels, respectively, and for different quadrat side lengths in each case. The equivalent mean sample sizes are also shown. The empirical square coefficient of error (= error variance divided by <i>N</i>²) is represented in blue, whereas the corresponding mean predictors obtained with Eqs <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0141868#pone.0141868.e009" target="_blank">(2)</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0141868#pone.0141868.e016" target="_blank">(3)</a>, are represented in red and black colour, respectively. Grey dots represent all the replicated values of <math><mrow><msubsup>ceCav<mn>2</mn></msubsup><mo>(</mo><mi>N</mi><mo>^</mo><mo>)</mo></mrow></math>. The dark grey dots lie between the 2.5% and 97.5% quantiles. The broken horizontal lines correspond to 5% and 10% coefficients of error, respectively. (D, E, F) Analogous data for Fig 7b of [<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0141868#pone.0141868.ref013" target="_blank">13</a>]—here <i>T</i> = 120,150,180 pixels, respectively.