Chin J Plant Ecol ›› 2021, Vol. 45 ›› Issue (9): 10241032.DOI: 10.17521/cjpe.2021.0083
• Methods and techniques • Previous Articles
ZHENG JingMing(), LIU HongYu
Received:
20210310
Accepted:
20210519
Online:
20210920
Published:
20211118
Contact:
ZHENG JingMing
Supported by:
ZHENG JingMing, LIU HongYu. Using StraussHardcore model to detect vessel spatial distribution in angiosperms with various vessel configurations[J]. Chin J Plant Ecol, 2021, 45(9): 10241032.
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URL: https://www.plantecology.com/EN/10.17521/cjpe.2021.0083
Fig. 1 Spatial distribution of vessels in xylem of Stewartia pseudocamelliashi and envelope test of fitted StraussHardcore (SH) model. A, Distribution of vessels in xylem crosssection. Each cycle stands for a vessel with cycle diameter as vessel diameter (µm). B, Envelope test for L function at significance of 0.05. r, the distance of paired points; Yaxis is the L function defined in equation (3). Black line represents L value from data fitted SH model, red line for average L value from 19 simulation of theoretical SH model, green and blue lines represent 2.5% and 97.5% quantile of L value from 19 simulation of theoretical SH model respectively.
模型 Model  点过程特点 Pointprocess characteristic  适用范围 Scenario for model application 

空间泊松模型 Poisson model  空间点位置完全随机 Complete spatial randomness of points  单一尺度, 单一导管属性, 随机分布特征 Single scale, single vessel identity, random distribution 
硬核模型 Hardcore model  相邻点间距低于硬核距离则不能存在 Neighbor point is forbidden at distance smaller than hardcore distance  单一尺度, 单一导管属性, 均匀分布特征 Single scale, single vessel identity, uniform distribution 
施特劳斯模型 Strauss model  相邻点间距越小则出现概率越低 Neighbor points have lower probability with smaller distance between them  单一尺度, 单一导管属性, 聚集分布特征 Single scale, single vessel identity, aggregation distribution 
盖耶饱和模型 Geyer saturation model  任一点全部分布概率不超过特定值 Probability of each point is restrained at specific threshold value  单一尺度, 单一导管属性, 聚集分布特征, 受导管密度影响 Single scale, single vessel identity, aggregation distribution, influenced by total vessel density 
多类型硬核模型 MultiHardcore model  点属性2类以上的硬核模型 Hardcore model with more than two point identities  单一尺度, 两类以上导管属性(如早、晚材导管, 单、复导管等), 同类导管均匀分布特征 Single scale, more than two vessel identities (e.g., vessel for early and latewood, single vessel and multiple vessel), uniform distribution for each identity 
多类型施特劳斯模型 MultiStrauss model  点属性2类以上的施特劳斯模型 Strauss model with more than two point identities  单一尺度, 两类以上导管属性, 同类导管聚集分布特征 Single scale, more than two vessel identities, aggregation distribution for each identity 
斯特劳斯硬核模型 StraussHardcore model  一个硬核模型和一个施特劳斯模型的组合 A combination of a Strauss model and a Hardcore model  两个尺度, 单一属性的导管, 均匀聚集分布特征 Two scales, single two vessel identity, uniformaggregation distribution 
多类型施特劳斯硬核模型 MultiStraussHardcore model  点属性2类以上的斯特劳斯硬核模型 StraussHardcore model with more than two point identities  两个尺度, 两类以上导管属性, 同类导管不同尺度上呈均匀和聚集分布特征 Two scales, more than two vessel identities, uniformaggregation distribution 
组合式盖耶模型 Piecewise Geyer model  组合模型, 可包括多个盖耶饱和子模型、硬核子模型和施特劳斯子模型 A hybrid model including multiple submodels such as Strauss model, Hardcore model, and Geyer saturation model  多个尺度, 单一属性的导管, 均匀和聚集分布特征, 受导管总密度影响 More than two scales, single vessel identity, uniformaggregation distribution, influenced by total vessel density 
Table 2 Characteristics of spatial pointprocess models for vessel configuration analysis
模型 Model  点过程特点 Pointprocess characteristic  适用范围 Scenario for model application 

空间泊松模型 Poisson model  空间点位置完全随机 Complete spatial randomness of points  单一尺度, 单一导管属性, 随机分布特征 Single scale, single vessel identity, random distribution 
硬核模型 Hardcore model  相邻点间距低于硬核距离则不能存在 Neighbor point is forbidden at distance smaller than hardcore distance  单一尺度, 单一导管属性, 均匀分布特征 Single scale, single vessel identity, uniform distribution 
施特劳斯模型 Strauss model  相邻点间距越小则出现概率越低 Neighbor points have lower probability with smaller distance between them  单一尺度, 单一导管属性, 聚集分布特征 Single scale, single vessel identity, aggregation distribution 
盖耶饱和模型 Geyer saturation model  任一点全部分布概率不超过特定值 Probability of each point is restrained at specific threshold value  单一尺度, 单一导管属性, 聚集分布特征, 受导管密度影响 Single scale, single vessel identity, aggregation distribution, influenced by total vessel density 
多类型硬核模型 MultiHardcore model  点属性2类以上的硬核模型 Hardcore model with more than two point identities  单一尺度, 两类以上导管属性(如早、晚材导管, 单、复导管等), 同类导管均匀分布特征 Single scale, more than two vessel identities (e.g., vessel for early and latewood, single vessel and multiple vessel), uniform distribution for each identity 
多类型施特劳斯模型 MultiStrauss model  点属性2类以上的施特劳斯模型 Strauss model with more than two point identities  单一尺度, 两类以上导管属性, 同类导管聚集分布特征 Single scale, more than two vessel identities, aggregation distribution for each identity 
斯特劳斯硬核模型 StraussHardcore model  一个硬核模型和一个施特劳斯模型的组合 A combination of a Strauss model and a Hardcore model  两个尺度, 单一属性的导管, 均匀聚集分布特征 Two scales, single two vessel identity, uniformaggregation distribution 
多类型施特劳斯硬核模型 MultiStraussHardcore model  点属性2类以上的斯特劳斯硬核模型 StraussHardcore model with more than two point identities  两个尺度, 两类以上导管属性, 同类导管不同尺度上呈均匀和聚集分布特征 Two scales, more than two vessel identities, uniformaggregation distribution 
组合式盖耶模型 Piecewise Geyer model  组合模型, 可包括多个盖耶饱和子模型、硬核子模型和施特劳斯子模型 A hybrid model including multiple submodels such as Strauss model, Hardcore model, and Geyer saturation model  多个尺度, 单一属性的导管, 均匀和聚集分布特征, 受导管总密度影响 More than two scales, single vessel identity, uniformaggregation distribution, influenced by total vessel density 
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