JOINING THE INCOMPATIBLE: EXPLOITING PURPOSIVE LISTS FOR THE SAMPLE-BASED ESTIMATION OF SPECIES RICHNESS

被引:11
|
作者
Chiarucci, Alessandro [1 ]
Di Biase, Rosa Maria [2 ]
Fattorini, Lorenzo [3 ]
Marcheselli, Marzia [3 ]
Pisani, Caterina [3 ]
机构
[1] Univ Bologna, Dept Biol Geol & Environm Sci, Via Irnerio 42, I-40126 Bologna, Italy
[2] Univ Tuscia, Dept Innovat Biol Agrofood & Forest Syst, Via Antonio Pacinotti 3, I-01100 Viterbo, Italy
[3] Univ Siena, Dept Econ & Stat, Piazza San Francesco 17, I-53100 Siena, Italy
来源
ANNALS OF APPLIED STATISTICS | 2018年 / 12卷 / 03期
关键词
Difference estimator; probabilistic sampling; purposive survey; supporting list; simulation; NONPARAMETRIC-ESTIMATION; POPULATION-SIZE; PERFORMANCE; RAREFACTION; DIVERSITY; NUMBER; EXTRAPOLATION; BIODIVERSITY; ABUNDANCE; PRECISION;
D O I
10.1214/17-AOAS1126
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The lists of species obtained by purposive sampling by field ecologists can be used to improve the sample-based estimation of species richness. A new estimator is here proposed as a modification of the difference estimator in which the species inclusion probabilities are estimated by means of the species frequencies from incidence data. If the species list used to support the estimation is complete the estimator guesses the true richness without error. In the case of incomplete lists, the estimator provides values invariably greater than the number of species detected by the combination of sample-based and purposive surveys. An asymptotically conservative estimator of the mean squared error is also provided. A simulation study based on two artificial communities is carried out in order to check the obvious increase in accuracy and precision with respect to the widely applied estimators based on the sole sample information. Finally, the proposed estimator is adopted to estimate species richness in the Maremma Regional Park, Italy.
引用
收藏
页码:1679 / 1699
页数:21
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