Cube law, condition factor and weight-length relationships: history, meta-analysis and recommendations

Cube law, condition factor and weight-length relationships: history, meta-analysis and recommendations
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DOI:
10.1111/j.1439-0426.2006.00805.x
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发表时间:
2006-08-01
影响因子:
0.9
通讯作者:
Froese, R.
Froese, R.
中科院分区:
农林科学4区
文献类型:
--
作者:
Froese, R.

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这项研究提出了一个历史回顾,荟萃分析,并建议用户有关的重量-长度的关系,条件因素和相对重量方程。历史回顾追溯了各自概念的发展。对1773种鱼类的3929个体重-体长关系进行了Meta分析,结果表明:体重-体长关系为W = aL(B)。它表明,82%的方差在图中的log a超过B可以解释异速生长与等距生长模式和不同的身体形状的各个物种。跨物种的中位数B = 3.03是显着大于3.0,从而表明在大多数鱼类略有积极的异速生长(增加相对身体厚度或plumbery)的趋势。确认了2.5 < B < 3.5的预期范围。超出此范围的平均B估计值通常仅基于每个物种的一个或两个重量-长度关系。然而,强异速生长的真实情况确实存在,并给出了三个例子。在物种内,log a与B的关系图可用于检测体重-身长关系中的异常值。由体重-身长关系计算平均条件因子的公式为K-均值= 100 aL(B-3)。相对重量W-rm = 100 W/(a(m)L(m)(B))可用于比较种群间个体的状况,其中a(m)是a的几何平均值,B(m)是给定物种所有可用重量-长度关系中B的平均值。文中给出了正确使用和表述体重-身长关系、条件因素和相对体重的十二条建议。
This study presents a historical review, a meta-analysis, and recommendations for users about weight-length relationships, condition factors and relative weight equations. The historical review traces the developments of the respective concepts. The meta-analysis explores 3929 weight-length relationships of the type W = aL(b) for 1773 species of fishes. It shows that 82% of the variance in a plot of log a over b can be explained by allometric versus isometric growth patterns and by different body shapes of the respective species. Across species median b = 3.03 is significantly larger than 3.0, thus indicating a tendency towards slightly positive-allometric growth (increase in relative body thickness or plumpness) in most fishes. The expected range of 2.5 < b < 3.5 is confirmed. Mean estimates of b outside this range are often based on only one or two weight-length relationships per species. However, true cases of strong allometric growth do exist and three examples are given. Within species, a plot of log a vs b can be used to detect outliers in weight-length relationships. An equation to calculate mean condition factors from weight-length relationships is given as K-mean = 100aL(b-3). Relative weight W-rm = 100W/(a(m)L(m)(b)) can be used for comparing the condition of individuals across populations, where a(m) is the geometric mean of a and b(m) is the mean of b across all available weight-length relationships for a given species. Twelve recommendations for proper use and presentation of weight-length relationships, condition factors and relative weight are given.