1. The intimate relationship between sampling efficiency and Taylor's power law (TPL) was investigated with gypsy moth sample data. The data were used to compute sampling efficiency directly and indirectly by TPL.
2. Comparison of TPLs and efficiency plots of male and female pupae confirmed the identities linking TPL with sampling efficiency. Divergence of sex‐specific TPL plots indicated local scale density‐dependent sex ratio.
3. Egg mass sample data confirmed the sampling efficiency and TPL identities provided the same variance and mean vectors were used to compute TPLs. Small differences in sample numbers destroy the identities but approximate efficiency estimates are still obtainable from the TPLs. Sampling efficiency of timed walks, fixed area and variable area surveys were estimated and ranked.
4. Rescaling moth catches per trap to number per unit volume changes slope, intercept and correlation coefficient while stretching the pattern of data points. Comparison of absolute density estimates over two different time intervals showed density‐dependent variation declining with increasing sample interval.
5. Fitting power laws by ordinary dependent regression is less efficient than fitting by geometric mean regression and produces biased regression parameters. The significance of this for the analysis and interpretation of ecological sample data generally is discussed.

中文翻译：

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空间分布，采样效率和泰勒幂定律。2.解释与密度有关的采样效率

1. 使用吉普赛蛾样品数据研究了采样效率与泰勒幂律（TPL）之间的密切关系。TPL直接或间接地使用这些数据来计算采样效率。
2. 对TPL和雄性和雌性up的效率图进行比较，证实了将TPL与采样效率联系起来的身份。特定性别的TPL图的差异表明局部比例密度相关的性别比。
3. 鸡蛋质量样本数据证实了采样效率和TPL身份，前提是方差相同，并且均值向量用于计算TPL。样本数量的微小差异会破坏身份，但仍可从第三方物流获得近似的效率估算。对定时步行，固定区域和可变区域调查的采样效率进行了评估和排名。
4. 将每个陷阱的捕虫器重新缩放为每单位体积的数量，可改变斜率，截距和相关系数，同时扩展数据点的模式。在两个不同时间间隔内的绝对密度估计值的比较显示，密度相关的变化随采样间隔的增加而减小。
5. 通过普通相关回归拟合幂定律比通过几何均值回归拟合效率低，并且会产生有偏差的回归参数。讨论了这一点对于分析和解释生态样本数据的意义。