Long-term effects of vegetation restoration and forest management on carbon pools and nutrient storages in northeastern Loess Plateau, China.

It is crucial for understanding the variations of carbon and nutrient pools within the ecosystems during long-term vegetation restoration to accurately assess the effects of different ecological restoration patterns. However, the long-term spatio-temporal variations of carbon and nutrient pools under different vegetation types remain unclear. The sites for long-term natural and planted forests (i.e., Natural secondary forest, Pinus tabulaeformis planted forest, Platycladus orientalis planted forest, and Robinia pseudoacacia planted forest) on the northeastern Loess Plateau, China were selected, to measure and analyze the differences and interannual variations of vegetation attributes at four synusiae and soil properties at 0-100 cm over the period of 12 years (2006-2017). The principal component analysis (PCA) and Mantel test were also conducted to explore the relationships among vegetation attributes, soil properties, and carbon and nutrient pools. The results showed that: compared with the planted forests, the natural secondary forest had lower arborous biomass (84.21 ± 1.53 t hm-2) and higher understory biomass and plant heights. Compared to planted forests, the secondary forest had higher soil carbon and nitrogen contents (13.74 ± 3.50 g kg-1 and 1.16 ± 0.34 g kg-1). The soil carbon pool in the secondary forest was 22.0% higher than planted forests, while the vegetation carbon pool in the P. tabulaeformis was 75.5% higher than other forests. Principal component analysis (PCA) and Mantel test revealed that vegetation attributes and soil properties had significant correlations with carbon and nutrient pools, especially at the arborous synusia (p < 0.01). The findings indicated that in the ecologically fragile Loess Plateau region, the selection of appropriate vegetation restoration types should be guided by varying ecological restoration goals and benefits, aiming to expected ecological outcomes. This insight offers a strategic implication for forest management that is tailored to improve carbon and nutrient pools in areas with similar environmental conditions.

Weak selection and stochastic evolutionary stability in a stochastic replicator dynamics.

It is a very challenging problem whether natural selection is able to effectively resist the continuous disturbance of environmental noise such that the direction or outcome of evolution determined by the deterministic selection pressure will not be changed. By analyzing the impact of weak selection on the evolutionary stability of a stochastic replicator dynamics with n possible pure strategies, we found that the weak selection is able to enhance the evolutionary stability, that is, under weak selection, the stochastic evolutionary stability of the system is determined by the mean payoff matrix. This finding strongly implies that the weak selection should be regarded as an important mechanism to ensure evolutionary stability in stochastic environments.

Stochastic replicator dynamics and evolutionary stability.

To develop the concept of evolutionary stability in a stochastic environment, we investigate the continuous-time dynamics of a two-phenotype linear evolutionary game with generally correlated random payoffs in pairwise interactions. By using the Gram-Schmidt orthogonalization procedure and Itô's formula, we deduce a stochastic differential equation for the phenotype frequencies that extends the replicator equation, called the stochastic replicator equation. We give conditions for stochastic stability of a fixation state or a constant interior equilibrium point with respect to the stochastic dynamics of the two phenotypes. We show that, if a fixation state is stochastically stable, then the pure strategy corresponding to this fixation state must be stochastically evolutionarily stable with respect to mixed strategies. However, this is not the case for a mixed strategy that corresponds to a stochastically stable constant interior equilibrium point with respect to the two phenotypes.

Stochastic evolutionary stability in matrix games with random payoffs.

Evolutionary game theory and the concept of an evolutionarily stable strategy have been not only extensively developed and successfully applied to explain the evolution of animal behavior, but also widely used in economics and social sciences. Recently, in order to reveal the stochastic dynamical properties of evolutionary games in randomly fluctuating environments, the concept of stochastic evolutionary stability based on conditions for stochastic local stability for a fixation state was developed in the context of a symmetric matrix game with two phenotypes and random payoffs in pairwise interactions [Zheng et al., Phys. Rev. E 96, 032414 (2017)2470-004510.1103/PhysRevE.96.032414]. In this paper, we extend this study to more general situations, namely, multiphenotype symmetric as well as asymmetric matrix games with random payoffs. Conditions for stochastic local stability and stochastic evolutionary stability are established. Conditions for a fixation state to be stochastically unstable and almost everywhere stochastically unstable are distinguished in a multiphenotype setting according to the initial population state. Our results provide some alternative perspective and a more general theoretical framework for a better understanding of the evolution of animal behavior in a stochastic environment.

Multilayer network structure enhances the coexistence of competitive species.

The concept of a multiplex network can be used to characterize the dispersal paths and states of different species in a patch habitat system. The multiplex network is one of three types of multilayer networks. In this study, the effect of a multiplex network on the long-term stable coexistence of species is investigated using the concept of metapopulation. Based on the mean field approximation, the stability analysis of a two-species system shows that, compared to the single layer network, the multiplex network is more conducive to the stable coexistence of species when one species has a stronger colonization ability. That is, in such a patch habitat system, if the dispersal paths of the stronger species are different than those of the weaker species, then the larger the heterogeneity of the dispersal network of the stronger species is, the more likely the long-term stable coexistence of species. This result provides a different perspective for understanding the biodiversity in heterogeneous habitats.

Transitions in the cell-fate induction induced by colored noise associated with the inductive stimulus.

The cell-fate induction based on the saddle-node bifurcation is undoubtedly a very important concept in developmental biology, which provides a possible mechanism to explain the intrinsic irreversibility in the developmental process. In this paper, the effect of a colored noise, which is associated with the inductive stimulus, on the saddle-node landscape of cell-fate induction is investigated, especially, the effect of the change of correlation time of colored noise on cell-fate induction. The main results show clearly that the change of correlation time of colored noise could induce the transitions of the system. This implies that the colored noise associated with inductive stimulus may have a profound effect on the saddle-node bifurcation landscape of cell-fate induction. This will also help us to understand more deeply the role of cell-fate induction in developmental biology.

Weak selection can filter environmental noise in the evolution of animal behavior.

Weak selection is an important assumption in theoretical evolutionary biology, but its biological significance remains unclear. In this study, we investigate the effect of weak selection on stochastic evolutionary stability in a two-phenotype evolutionary game dynamics with a random payoff matrix assuming an infinite, well-mixed population undergoing discrete, nonoverlapping generations. We show that, under weak selection, both stochastic local stability and stochastic evolutionary stability in this system depend on the means of the random payoffs but not on their variances. Moreover, although stochastic local stability or instability of an equilibrium may not depend on environmental noise if selection is weak enough, the growth rate near an equilibrium not only depends on environmental noise, but can even be enhanced by environmental noise if selection is weak. This is the case, for instance, when the variances of the random payoffs as well as the covariances are equal. These results suggest that natural selection could be able to filter (or resist) the effect of environmental noise on the evolution of animal behavior if selection is weak.

The effects of terracing and vegetation on soil moisture retention in a dry hilly catchment in China.

In water-restricted erosive mountains environments, large-scale vegetation plantation and diverse terracing measures have been widely used as the most powerful ecological-restoration tools to control water erosion and improve local degraded ecosystems, further enhancing the complexity of terracing, vegetation, and soil water relationships. In this study, 70 sampling sites across different hillslopes were selected and used for biweekly soil water measurement in a typical loess hilly catchment of China. The most typical terracing measures (broad bench terraces-BBT, narrow bench terraces-NBT, level ditch terraces-LDT, counter-slope terraces-CST, and half-moon terraces-HMT) and introduced vegetation types (wild peach, apricot, arborvitae, poplar, and Chinese pine) were included in the study. Based on multi-site measurements, the effects of terracing and vegetation on the profile of soil moisture dynamics at a depth of 2 m were analyzed. Results show that terracing generally has a very positive role in soil water enhancement. Compared with slope risers, terracing can increase soil moisture by 0.87% (±0.82%) to 37.71% (±9.01%), which benefits ecological restoration. However, the effects of various terracing measures on soil water differed. BBT measures were the most powerful in soil water recharge, with an incremental ratio of 21.88%, which is 4.94, 5.95 and 4.21 times that of CST (5.19%), LDT (4.43%) and NBT (3.68%), respectively. The existence of different plant communities can increase the uncertainties and complexities of soil water status. Introduced trees and shrubs generally induce a greater reduction in soil water than do natural plants in similar environmental conditions. The few remaining original hillslopes covered by natural grasses can better preserve soil water, because of large differences in water use strategies between planted and natural species. Such findings are expected to provide important references for the proper selection of terracing and artificial vegetation toward enhancing the efficiency of water conservation and ecological restoration in dry and degraded regions.

Quantifying the effects of precipitation, vegetation, and land preparation techniques on runoff and soil erosion in a Loess watershed of China.

The combination of land preparation techniques and vegetation could be an effective way to combat soil degradation on vulnerable, steep slopes. Because of the scale of re-vegetation and man-made micro-topographies in regions of hillies and gullies, quantifying the effects of land preparation techniques, precipitation, and vegetation on runoff and soil erosion remains challenging, particularly in semi-arid areas. This study investigated the runoff and erosion characteristics associated with different land preparation techniques (level bench, level ditch, fish-scale pits and adverse-grade tableland) in combination with different tree species (i.e., Caragana microphylla, Pinus tabulaeformis, Armeniaca sibirica, Platycladus orientalis) using network and redundancy analyses (RDA). Network analysis was used to identify the factors (rainfall features, vegetation types, and land preparation techniques) influential in surface runoff and erosion, while RDA was used to focus on the relations between surface runoff, soil erosion, and all of the influencing factors. Our results suggested that land preparation technique could reduce runoff generation on steep slopes, a key process that affects soil loss, although the extent was affected largely by the influence of the combination of the design of the engineering structure and the shape of the vegetation canopy. Our study indicated that Network analysis and RDA are practical methods to quantify the interactions and co-dependencies between rainfall features and other critical factors (vegetation type and ecological engineering) on runoff and soil loss that were difficult to assess previously using classical regression.

Combining land preparation and vegetation restoration for optimal soil eco-hydrological services in the Loess Plateau, China.

In semiarid terrestrial ecosystems, optimized eco-rehabilitation strategies, such as land preparations and planting vegetation, are keys to achieve a successful ecological restoration. Land preparations and vegetation are supposed to have the coupled and respective impacts on soil ecosystem services, which are still unclear now. In this study, eighteen experimental plots with six different combinations and repetitions of land preparations and vegetation were built in the Chinese Loess Plateau in 2014 and soil moisture storages (SMS), soil carbon stocks (SCS) and other soil nutrient stocks were calculated at 0-100 cm, also the effects of land preparations and planting vegetation on soil eco-hydrological services are analyzed by mathematical methods. The results show that leveled ditches-M. sativa had the highest SMS (125 mm) while zig terraces-P. tabulaeformis had the lowest values (88 mm). Fish-scale pits-P. tabulaeformis had the most SCS (9804 g/m2) and leveled ditches-M. sativa had the lowest values (8163 g/m2). For soil nutrient stocks, leveled benches-C. microphylla and fish-scale pits-P. tabulaeformis had the highest levels while leveled ditches-M. sativa had the lowest values. The partial redundancy analysis (pRDA) and variation partitioning (VP) analysis indicated that soil nutrient stocks were most affected by the coupling effects of land preparation and vegetation. SMS at surface (0-10 cm) were mainly affected by precipitation (58.8%). Furthermore, SMS at subsurface (10-60 cm) and deep soil layer (60-100 cm) were affected by the shared effects of vegetation and land preparation (61.3%), and vegetation (72.2%), respectively. The findings quantified the coupling and respective contributions of vegetation restoration and land preparation to soil eco-hydrological services and demonstrate that the optimal combination of eco-rehabilitation strategies can achieve a sustainable land restoration.

Asymmetric evolutionary game dynamics based on individuals' own volition.

For the pairwise interactions, the evolution of individual behavior should involve two major factors: one is what you will do in an interaction with a given opponent, and another is what type of opponents you prefer to interact with. In this study, we developed a two-phenotype iterated bimatrix replicator dynamics model based on individuals' own volition, where, different from the classic iterated game model, we assume that (i) for all interaction pairs, the maximum expected interaction time is same and it is limited even if two individuals in an interaction pair would like to keep their interaction; and (ii) all individuals are able to unilaterally break off the interactions with their opponents according to their own volition. Therefore, we define that, at any time t, an interaction pair will be disbanded with a given probability and the new interaction pairs will be randomly formed. The main results show that: (i) the existence of locally asymmetrically stable interior equilibrium is possible; and (ii) the evolutionary stability of the system is similar to the classic asymmetric evolutionary game. These results may provide a new insight for revealing the evolutionary significance of asymmetric game dynamics.

[Comparison of Soil Hydraulic Characteristics Under the Conditions of Long-term Land Preparation and Natural Slope in Longtan Catchment of the Loess Hilly Region].

Soil moisture plays a crucial role in maintaining the health and sustainability of dryland ecosystems. Terracing and other similar land preparations can reshape the natural slope and change underlying surface into different micro-landforms, which are significant for rainwater harvesting, erosion control, and vegetation promotion in arid regions. In this study, the Longtan Watershed in Dingxi region was selected as the study area. Based on in situ experiments, soil sampling analysis, and modeling simulation, the effects of land preparation and artificial vegetation (Fish-scale pit/Adverse grade tableland-Platycladus orientalis) on soil moisture characteristics curves and soil moisture constants were quantitatively analyzed. ①The land preparations could effectively improve the soil moisture content in the study catchment of Loess Plateau. Compared with natural slope, soil water content of land preparations increased by 1.883%(volume fraction) on average and fish-scale pit method and adverse grade tableland method enhanced the soil moisture by 29.69% and 15.55%, respectively. ② Compared with the natural slope, fish-scale pit and adverse grade tableland could significantly improve the soil hydraulic properties. After carrying out the land preparations, saturated soil water content and soil properties such as field capacity increased by 4.24%-11.40%, suggesting that land preparations can improve soil moisture and water supply ability. ③ Surface soil moisture characteristics were better than those of the underlying soil layers after land preparations. Compared with the natural slope, fish-scale pit and adverse grade tableland's shallow soil layer (0-20 cm) increased the moisture by 38.75% and 23.84%, respectively, whereas in the deep layer (60-80 cm) the increment of moisture were only 3.34% and 3.85%, respectively. This research provides scientific basis for vegetation restoration and land improvement in fragile semi-arid ecosystems.

Statistical fractal models based on GND-PCA and its application on classification of liver diseases.

A new method is proposed to establish the statistical fractal model for liver diseases classification. Firstly, the fractal theory is used to construct the high-order tensor, and then Generalized N-dimensional Principal Component Analysis (GND-PCA) is used to establish the statistical fractal model and select the feature from the region of liver; at the same time different features have different weights, and finally, Support Vector Machine Optimized Ant Colony (ACO-SVM) algorithm is used to establish the classifier for the recognition of liver disease. In order to verify the effectiveness of the proposed method, PCA eigenface method and normal SVM method are chosen as the contrast methods. The experimental results show that the proposed method can reconstruct liver volume better and improve the classification accuracy of liver diseases.

Construction of classifier based on MPCA and QSA and its application on classification of pancreatic diseases.

A novel method is proposed to establish the classifier which can classify the pancreatic images into normal or abnormal. Firstly, the brightness feature is used to construct high-order tensors, then using multilinear principal component analysis (MPCA) extracts the eigentensors, and finally, the classifier is constructed based on support vector machine (SVM) and the classifier parameters are optimized with quantum simulated annealing algorithm (QSA). In order to verify the effectiveness of the proposed algorithm, the normal SVM method has been chosen as comparing algorithm. The experimental results show that the proposed method can effectively extract the eigenfeatures and improve the classification accuracy of pancreatic images.

[Application of functional MRI on evaluation of cholinergic drugs and other neurotransmitter drugs and its prospect in traditional Chinese medicine evaluation].

This article summarizes the progress of the application of functional magnetic resonance image (fMRI) on neuropharmacology. Cholinergic drugs are types of neurotransmitters which are usually used to treat neurological disorders. fMRI is widely used in the research of evaluation of cholinergic drugs. This article systematically summerizes the research of drug evaluation on memory, attention, emotion and vision by fMRI using the cholinergic drugs for example. Combined with the charactors and disciplines of traditional Chinese medicine (TCM), this article also makes a prospect of the application of fMRI on traditional Chinese medicine evaluation, especially the drugs on brain disease and emotional modulation.