预测物种丰度分布的随机森林和空间交叉验证性能

Ciza Arsène Mushagalusa, Adandé Belarmain Fandohan, Romain Glèlè Kakaï
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摘要

随机森林(RF)已被广泛用于预测空间变量。一些研究表明,与标准 CV 方法相比,空间交叉验证(CV)方法始终会导致 RF 产生更大的预测误差。本研究考察了物种特征和数据特征对标准 RF 和空间 CV 方法预测物种丰度分布性能的影响。研究比较了标准的 5 倍 CV、基于设计的验证和三种不同的空间 CV 方法,如空间缓冲、环境阻断和空间阻断。在基于设计的验证中随机选择验证样本,不进行替换。我们使用由常数项($$\beta _0$$)和随机误差项组成的线性函数生成的人工物种丰度数据评估了它们的预测性能(准确度和区分度指标),该函数遵循零均值高斯过程,协方差矩阵由指数相关函数决定。该模型经过多次模拟调整,以考虑不同的物种丰度平均水平、空间自相关变化和物种探测概率。在此我们发现,当空间自相关性较高且物种检测概率较低时,标准 RF 的预测性能较差。与空间 CV 方法相比,基于设计的验证和标准 K-fold CV 被认为是评估 RF 性能的最有效策略,即使在存在高空间自相关性和随机样本检测不完全的情况下也是如此。对于弱聚类或中度聚类样本,它们能产生良好的建模效率,但高估了 RF 的预测能力,而对于空间自相关性高的强聚类样本,它们则高估了建模效率、预测能力和准确性。总体而言,无论聚类程度、空间自相关性或物种丰度等级如何,在分块空间 CV 中将块分配到褶皱的棋盘格模式是对聚类样本最有效的 CV 方法。对于具有空间自相关性的随机或系统样本,空间 CV 中的棋盘模式是最好的方法,但不如非空间 CV 方法有效。在验证模型时,如果不考虑数据特征,会导致对物种丰度和相关参数的预测不切实际,从而导致对模式和结论的错误解释。进一步的研究应探索在具有高度空间自相关性的聚类样本中使用块空间 K 折叠 CV,并将块分配到折叠的棋盘式分配的好处。
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Random forest and spatial cross-validation performance in predicting species abundance distributions
Random forests (RF) have been widely used to predict spatial variables. Several studies have shown that spatial cross-validation (CV) methods consistently cause RF to yield larger prediction errors compared to standard CV methods. This study examined the impact of species characteristics and data features on the performance of the standard RF and spatial CV approaches for predicting species abundance distribution. It compared the standard 5-fold CV, design-based validation, and three different spatial CV methods, such as spatial buffering, environmental blocking, and spatial blocking. Validation samples were randomly selected for design-based validation without replacement. We evaluated their predictive performance (accuracy and discrimination metrics) using artificial species abundance data generated by a linear function of a constant term ( $$\beta _0$$ ) and a random error term following a zero-mean Gaussian process with a covariance matrix determined by an exponential correlation function. The model was tuned over multiple simulations to consider different mean levels of species abundance, spatial autocorrelation variation, and species detection probability. Here we found that the standard RF had poor predictive performance when spatial autocorrelation was high and the species probability of detection was low. Design-based validation and standard K-fold CV were found to be the most effective strategies for evaluating RF performance compared to spatial CV methods, even in the presence of high spatial autocorrelation and imperfect detection for random samples. For weakly or moderately clustered samples, they yielded good modelling efficiency but overestimated RF’s predictive power, while they overestimated modelling efficiency, predictive power, and accuracy for strongly clustered samples with high spatial autocorrelation. Globally, the checkerboard pattern in the allocation of blocks to folds in blocked spatial CV was found to be the most effective CV approach for clustered samples, whatever the degree of clustering, spatial autocorrelation, or species abundance class. The checkerboard pattern in spatial CV was found to be the best method for random or systematic samples with spatial autocorrelation, but less effective than non-spatial CV approaches. Failing to take data features into account when validating models can lead to unrealistic predictions of species abundance and related parameters and, therefore, incorrect interpretations of patterns and conclusions. Further research should explore the benefits of using blocked spatial K-fold CV with checkerboard assignment of blocks to folds for clustered samples with high spatial autocorrelation.
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