Euler’s First-Order Explicit Method–Peridynamic Differential Operator for Solving Population Balance Equations of the Crystallization Process

Using Euler’s first-order explicit(EE)method and the peridynamic differential operator(PDDO)to discretize the time and internal crystal-size derivatives,respectively,the Euler’s first-order explicit method–peridynamic differential operator(EE–PDDO)was obtained for solving the one-dimensional population balance equation in crystallization.Four different conditions during crystallization were studied:size-independent growth,sizedependent growth in a batch process,nucleation and size-independent growth,and nucleation and size-dependent growth in a continuous process.The high accuracy of the EE–PDDO method was confirmed by comparing it with the numerical results obtained using the second-order upwind and HR-van methods.The method is characterized by non-oscillation and high accuracy,especially in the discontinuous and sharp crystal size distribution.The stability of the EE–PDDO method,choice of weight function in the PDDO method,and optimal time step are also discussed.

Genetic Differentiation of Different Geographical Populations of Bemisia tabaci (Gennadius) Complex

Bemisia tabaci （Gennadius） is a species complex, which includes different geographical populations with genetic differentiation. The recent progress on the genetic differentiation of various geographical populations of B. tabaci complex was introduced. The genetic differentiation was further analyzed on the basis of the sequences of mtDNA COI and rDNA ITS1 recorded in the world＇s GenBank. Five groups are defined on the basis of mtDNA COI and rDNA ITS1, including the Asia group, America group, Africa group, Australia group, and Biotype B/Mediterranean/Middle East/ Northern Africa/Biotype Ms group. There are several ungrouped geographical classifications, such as the Uganda population, Ivory Coast population, and Taiwan population. Geographical isolation may be the most important factor that contributed to the genetic differentiation of various geographical populations of B. tabaci. Many populations with biological advantages invaded new regions and caused severe economic losses within human activity. It is necessary to strengthen the research of B. tabaci biotype to prevent the spread of invaded populations and the invasion of potentially dangerous populations.

Genetic Differentiation of Japanese Sardinella(Sardinella zunasi) Populations in the Northwest Pacific Revealed by ISSR Analysis

Knowledge of population genetic structure plays an important role in fisheries management.In this research,In-ter-Simple-Sequence-Repeat(ISSR)markers were employed to evaluate the genetic structure of Japanese sardinella(Sardinella zun-asi)populations in the Northwest Pacific.Eighty seven individuals from 5 locations were screened using 4 highly polymorphic prim-ers.A total of 173 polymorphic loci were detected out of 191 loci amplified.Small but significant genetic differentiation was de-tected between the Chinese and Japanese populations by both AMOVA and pairwise FST analyses,which was further supported by cluster analysis.We consider that climate change during glaciations should be responsible for the genetic differentiation.Isolation by geographic distance among populations was observed,indicating that the distance might also lead to the genetic differentiation.However,no genetic structure was found within the populations off both the Chinese and Japanese coasts,indicating a high-level along-coast gene flow,which might result from ocean current transport and common ground for over-wintering.

SSR Marker Analysis on indica-japonica Differentiation of Natural Population of Oryza rufipogon in Yuanjiang, Yunnan Province

By using 19 pairs of primers that could identify two subspecies （indica and japonica） of cultivated rice （Oryza sativa L.）, the indica-japonica differentiation of 56 individuals from the natural population of common wild rice （Oryza rufipogon Griff.） in Yuanjiang was analyzed by SSR （microsatellite DNAs, or simple sequence repeat）. Of the 19 pairs of primers, 17 pairs （89.47%） could amplify only one kind of band type among all of the individuals, but primers RM251 and RM18 could amplify polymorphic band types. The bands amplified by 16 pairs of primers （84.21%） were identical to the indica-japonica diagnostic bands of relevant locus in cultivated rice, including 11 japonica-like loci and 4 indica-like loci. The bands amplified by the other three pairs of primers （RM18, RM202, RM205） were different from indica or japonica diagnostic bands of cultivated rice. The results showed that according to 19 loci analyzed, 84.21% of SSR loci in genomic DNA of common wild rice in Yuanjiang displayed indica-japonica differentiation and 13.79% of the loci still kept primitive, and most of the detected loci were homoaenetic in the natural population.

Genetic Differentiation Analyses Based on mtDNA COⅡ Gene Sequences Among Different Geographic Populations of Aphis glycines(Hemiptera: Aphididae) in Northeast China

Aphis glycines （Hemiptera： Aphididae） is considered as a cosmopolitan pest of cultivated soybean, major difficulties in its control measures may be due to its higher genetic diversity; however, the knowledge about population genetic diversity of this species is limited. This study aimed to represent the genetic differentiation among different geographic populations of soybean aphid in Northeast China. In order to investigate and assess the genetic diversity, genetic differentiation, molecular variance, population structure, ecological importance and evolutionary history of A. glycines, we sequenced a fragment of one protein-coding gene, the cytochrome c oxidase I/of mitochondrial DNA gene. The results showed that four haplotypes were defined among CO 11 gene of 180 sequences of soybean aphid in Northeast China including H1 shared by all the populations. Lower haplotype diversity （Hd=0.3590± 0.0420） and nucleotide diversity （Pi=0.0012±0.0002） were observed and high gene flow was detected in every two populations, while most of the variation （80.81%） arose from variability within A. glycines from individuals. Low genetic differentiation and high gene flow （Nm=2.106） indicated a high migration rate between the populations, which might reveal that gene flow in different geographic populations did not affect by geographical distance. The phylogenetic tree and the haplotype network ofA. glycines were obtained based on sequences of CO Ⅱ gene, there were no significant genealogical branches or clusters recognized in NJ tree, and no clear distribution, delineation of haplotypes were demonstrated in the haplotype network according to geographical location. This study rejected the vicariance hypothesis： geographic isolation could be a barrier and it restricted A. glycines gene flow among 10 populations.

Population Genetic Structure and Genetic Differentiation of the Pufferfish Takifugu Rubripes and Takifugu Pseudommus Revealed by RAPD Analysis

RAPD analysis is used to assay the population genetic structure and genetic differentiation of pufferfish T. rubripes and T. pseudommus. One hundred and twenty fragments are amplified with 21 random sequence 10-mer primers. The proportion of polymorphic fragments of T. rubripes populations from the coast of China (TRC), the coast of Japan (TRJ), general population of T. rubripes both from China and Japan (TRCJ), and the population of T. pseudommus are 31.7%, 33.3%, 35.0% and 39.2% respectively. The mean expected heterozygosities of the four populations are 0.116, 0.125, 0.126, and 0.144, respectively. Low genetic distances (ranging from 0.0118 to 0.0309) and Fst estimates (0.020 to 0.024) among the populations indicated that there is no significant differentiation between T. rubripes and T. pseudommus and suggested that only one species is involved.

Population differentiation in the dominant species(Ulva prolifera)of green tide in coastal waters of China

Since 2015,green tides with Ulva prolifera as the dominant species in the Qinhuangdao coastal waters have continued to occur.In this study,the relationship between green tides in Qinhuangdao and the Yellow Sea(setting sites in Rudong and Qingdao)was evaluated by genetic analyses of U.prolifera.Single nucleotide polymorphism(SNP)markers were used to analyze genetic diversity and genetic relationships among groups.Genetic differentiation was lower among floating U.prolifera populations in Rudong and Qingdao than in Qinhuangdao.The floating U.prolifera population had higher genetic diversity and polymorphism levels in Qingdao and Rudong than in Qinhuangdao.Physiological experiments showed that the growth rate and net buoyancy of floating U.prolifera were highest in Qinhuangdao and Qingdao,respectively,under the same environmental conditions(temperature and light).Overall,these findings showed that U.prolifera populations in the Qinhuangdao and Yellow Sea green tides(Rudong and Qingdao)differ significantly at the molecular and physiological levels.Therefore,the Qinhuangdao green tide is not correlated with the Yellow Sea green tide and has a different origin and development mode.This study provides insight into the mechanism underlying green tide blooms in coastal waters of China.

Regional Differentiation Regularity and Influencing Factors of Population Change in the Qinghai-Tibet Plateau, China

The Qinghai-Tibet Plateau(QTP) is the most unique region of human-land relations, and its main factor is population. By building a population and space dataset of the QTP at the township level from 1982 to 2017, this paper presents the pattern evolvement and regional distribution characteristics of township-level population in the QTP in detail for the first time. By using Geodetector method to analyze the influencing factors of township-level population change in the QTP, this paper provides scientific foundations for studying the Third Pole, ecological environment protection of the QTP, and human-land relations. The conclusions are as follows:1) The population spatial distribution is not balanced at the township level, presents the regional differentiation characteristics of ‘dense in southeast and sparse in northwest’ along the ‘Qilian-Jilong Line’, and demonstrates the phenomenon of population center of gravity moving to the hinterland of the plateau at an accelerated speed;2) The township-level population develops in a decentralized trend in general, and the cold-and hot-spot distribution of population has prominent spatial distribution characteristics. The population hot spots are concentrated in the surrounding areas of Xining, Golmud, Hotan and Lijiang;3) The population of the QTP is increasing, and the inter-annual change of township population has a relatively stable regional regularity;4) The level of per capita income is the leading factor in the change of township population, and its effect intensity is increasing continuously. The relative effect intensity of urbanization level and location conditions on population change has decreased significantly after 2000. The adaptability of living environment,such as topography and climate, has little influence on population change.

Population genetic variation and historical dynamics of the natural enemy insect Propylea japonica(Coleoptera: Coccinellidae) in China

Propylea japonica(Coleoptera:Coccinellidae)is a natural enemy insect with a wide range of predation in Chinese mainland and is commonly used in pest management.However,its genetic pattern(i.e.,genetic variation,genetic structure,and historical population dynamics)is still unclear,impeding the development of biological control of insect pests.Population genetic research has the potential to optimize strategies at different stages of the biological control processes.This study used 23 nuclear microsatellite sites and mitochondrial COI genes to investigate the population genetics of Propylea japonica based on 462 specimens collected from 30 sampling sites in China.The microsatellite dataset showed a moderate level of genetic diversity,but the mitochondrial genes showed a high level of genetic diversity.Populations from the Yellow River basin were more genetically diverse than those in the Yangtze River basin.Propylea japonica has not yet formed a significant genealogical structure in China,but there was a population structure signal to some extent,which may be caused by frequent gene flow between populations.The species has experienced population expansion after a bottleneck,potentially thanks to the tri-trophic plant–insect–natural enemy relationship.Knowledge of population genetics is of importance in using predators to control pests.Our study complements existing knowledge of an important natural predator in agroecosystems through estimating its genetic diversity and population differentiation and speculating about historical dynamics.

Differential Evolution Algorithm Based on Ensemble of Constraint Handling Techniques and Multi-Population Framework

Aimed at improving the insufficient search ability of constraint differential evolution with single constraint handling technique when solving complex optimization problem, this paper proposes a constraint differential evolution algorithm?based on ensemble of constraint handling techniques and multi-population?framework, called ECMPDE. First, handling three improved variants of differential evolution algorithms are dynamically matched with two constraint handling techniques through the constraint allocation mechanism. Each combination includes three variants with corresponding constraint handling technique?and these combinations are in the set. Second, the population is divided into three smaller subpopulations and one larger reward subpopulation. Then a combination with three constraint algorithms is randomly selected from the set, and the three constraint algorithms are run in three sub-populations respectively. According to the improvement of fitness value, the optimal constraint?algorithm is selected to run on the reward sub-population, which can share?information and close cooperation among populations. In order to verify the effectiveness of the proposed algorithm, 12 standard constraint optimization problems?and 10 engineering constraint optimization problems are tested. The experimental results show that ECMPDE is an effective algorithm for solving constraint optimization problems.

Conservation implications of population genetic structure in a threatened orchid Cypripedium tibeticum

Cypripedium tibeticum is a threatened orchid which efficient conservation requires knowledge of its extent and structure of genetic variation. Using two chloroplast DNA fragments(rps16 and trnL-F), we analyzed 157 individuals from 9 populations representing the species range in China. Seven haplotypes were identified. C. tibeticum had high total genetic diversity(H_T=0.80) with major contribution to this diversity made by among-population component(G_ST=0.64, Ф_ST= 0.86). However, despite high population differentiation there was no clear phylogeographic structure. The populations CY and DC made the greatest contribution to the total gene diversity as well as allelic richness. The possible mechanisms and implications of these findings for conservation of the species are discussed.

Genetic Variation of Host Populations of Liriomyza sativae Blanchard

In this study, partial sequences of the mitochondrial cytochrome oxidase subunit I （mtDNA-COI） gene and the ribosomal internal transcribed spacer 1 （rDNA-ITS 1） gene, isolated from five artificial populations of Liriomyza sativae （Diptera： Agromyzidae）, were sequenced and compared, to analyze their genetic variation. Analysis of the mtDNA-CO1 gene showed that a low genetic variation was detected among the five populations and only five variable sites were found in the nucleotide sequences. Most of the observed variations that occurred within the populations were because of nucleotide transitions, whereas, the interpopulation variation was because of the differences in haplotype frequencies occurring among the host populations. Analysis of the rDNA-ITS1 gene revealed a small diversity in the five host populations. The trend of genetic differentiation in the host populations was consistent with the preference of L. sativae to the plant hosts.

Molecular phylogeography and population genetic structure of the planktonic copepod Calanus sinicus Brodsky in the coastal waters of China

Planktonic copepod Calanus sinicus is the dominant meso-zooplankton in the Northwest Pacific Ocean. To better understand its population dynamics and phylogeographic patterns, 243 C. sinicus individuals were collected from seven locations across the shelf waters of China and its population genetics was studied by mitochondrial DNA cytochrome oxidase I（mtCOI） sequences analyses. Thirty-nine different sequences, or haplotypes, were detected with moderate haplotype diversity（h=0.749） and low nucleotide diversity（π=0.003） for all populations. The evolutionary divergence between geographic populations varied from 0.24% to 0.37%, indicative of very limited genetic differentiation. Visualized minimum spanning network（MSN） and phylogenetic analysis of all the detected haplotypes did not reveal any clear phylogeographic pattern. Furthermore, AMOVA data showed no significant spatial population differentiation existed among the individuals collected across China shelf waters. Pairwise FST values showed that population collected from northwest of the East China Sea（ECS） displayed a low difference to other populations. Mismatch distribution analyses and neutrality tests indicated that C. sinicus might undergo a demographic/population expansion. No significant population genetic structuring was detected, indicating an extensive gene flow among the C. sinicus populations. Our results provide molecular evidence for the hypothesis that C. sinicus in the northwestern South China Sea in winter is transported from the East China Sea and the Yellow Sea by the China Coastal Current during the northeast monsoon period.

Genetic Structure and Eco-Geographical Differentiation of Cultivated Keng Rice(Oryza sativa L.subsp.japonica) in China Revealed by Microsatellites

China is one of the largest centers of genetic diversity of Oryza sativa L. and is the original centers of Oryza sativa L. subspecies japonica. Using a genetically representative core collection of 1 442 rice landraces of japonica in China, the genetic structure, differentiation, and geographic diversity were analyzed. The model-based structure analysis on varieties within three ecotypes revealed 16 eco-geographical types, which are partially accorded with some of the ecological zones in China. The differentiation of eco-geographical types contributed to the local ecological adaption and physical isolation, and maybe could be used to develop the heterotic groups of japonica. To facilitate the identification of different ecotypes and eco-geographical types, we provided the SSR character alleles of each ecotype or geographical eco-group and a rapid discriminated method based on these character alleles. Lastly, investigation on genetic diversity, genetic differentiation indicated that southwest region of China, including south of Yunnan Province, northwest of Guangxi Zhuang Autonomous Region, and southwest of Guizhou Province, possessed the highest genetic diversity and all the necessary conditions as a center of genetic diversity and should be the center of genetic diversity of rice landraces of japonica in China.

Population Genetic Analysis of the Rice Stem Borer, Chilo suppressalis, in the South China

Genetic variation and patterns of genetic differentiation of the rice stem borer, Chilo suppressalis （Lepidoptera： Pyralidae）, from the South China were analyzed using 6 microsatellite markers and two partial mtDNA （cox1 and cox2） regions. All of the 6 microsatellite loci were polymorphic in the studied seven populations. The allelic richness per population ranged between 5.67 and 14.00, and average H E and H O values were 0.6246-0.8329 and 0.2634-0.6061, respectively. As the mitochondrial genome is a single genetic locus, we only present results for the concatenated data set （cox1 plus cox2 gene sequences, 513 bp）. The concatenated data showed high level of genetic diversity and there are 23 variable polymorphic sites among the 513 sites in concatenated data. Nearly all of （20 of 21） pairwise F ST comparisons among populations showed genetic differentiation with moderate to high pairwise F ST values based on microsatellite markers. However, for the mtDNA data, most of the seven populations did not show significant differentiation with other populations. The differences of population differentiation obtained with the two different genetic markers could be mainly attributed to the different mutation rates of microsatellite and mtDNA. There was not genetic structure existed in these studied populations based on microsatellite loci and mtDNA data. The analysis based on network, mismatch distribution, Tajima＇s D and F S indicated that the studied populations were from the recent same ancestor or the same refuge and followed by a sudden demographic expansion condition.

Genetic variation and population structure of the mushroom Pleurotus ferulae in China inferred from nuclear DNA analysis

To investigate the genetic diversity of an edible fungus Pleurotus ferulae, a total of 89 wild samples collected from six geographical locations in the Xinjiang Uygur Autonomous Region of China and two geographical locations in Italy, were analyzed using three DNA fragments including the translation elongation factor（EF1α）, the second largest subunit of t he RNA polymerase II（RPB2） and the largest subunit of the RNA polymerase II（RPB1）. The results indicated relatively abundant genetic variability in the wild resources of P. ferulae. The analysis of molecular variance（AMOVA） showed that the vast majority of the genetic variation was found within geographical populations. Both the Chinese populations and the Italian populations of P. ferulae displayed a limited genetic differentiation. The degree of differentiation between the Chinese populations and the Italian populations was obviously higher than that between the populations from the same region, and moreover the genetic differentiation among all the tested populations was correlated to the geographical distance. T he phylogeny analyses confirmed that samples from China and Italy belonged to another genetic group separated from Pleurotus eryngii. They were closely related to each other but were clustered according to their geographical origins, which implied the Chinese populations were highly differentiated from the Italian populations because of distance isolation, and the two populations from different regions might be still in the process of allopatric divergence.

Genetic diversity and population structure of Gossypium arboreum L. collected in China

Background: Gossypium arboreum is a diploid species cultivated in the Old World. It possesses favorable characters that are valuable for developing superior cotton cultivars.Method: A set of 197 Gossypium arboreum accessions were genotyped using 80 genome-wide SSR markers to establish patterns of the genetic diversity and population structure. These accessions were collected from three major G. arboreum growing areas in China. A total of 255 alleles across 80 markers were identified in the genetic diversity analysis.Results: Three subgroups were found using the population structure analysis, corresponding to the Yangtze River Valley, North China, and Southwest China zones of G.arboreum growing areas in China. Average genetic distance and Polymorphic information content value of G. arboreum population were 0.34 and 0.47, respectively, indicating high genetic diversity in the G. arboreum germplasm pool. The Phylogenetic analysis results concurred with the subgroups identified by Structure analysis with a few exceptions. Variations among and within three groups were observed to be 13.61% and 86.39%, respectively.Conclusion: The information regarding genetic diversity and population structure from this study is useful for genetic and genomic analysis and systematic utilization of economically important traits in G. arboreum.

Influence of Host Shift on Genetic Differentiation of the Oriental Fruit Fly,Bactrocera dorsalis

Invasion of the oriental fruit lfy, Bactrocera dorsalis, into new niches containing different food sources （a process referred to as host shift）, may cause population genetic differentiation and sympatric speciation. To attempt to infer that experimentally, test populations were established by transferring a subset of the original populations, which had been grown on banana for many generations, onto navel orange, and then subculturing the navel orange population and banana population for at least 20 generations. Four pairs of SSR primers with high polymorphism on laboratory strains were used to detect population genetic differentiation. All six tested populations （the 5th, 10th and 15th generations of B. dorsalis fed on banana and navel orange, respectively） were found to have low genetic diversity. Furthermore, the genetic diversity of the navel orange populations was found to decline after being crossed for several generations. Populations initially were deviated from Hardy-Weinberg equilibrium, however, equilibrium was achieved with increasing numbers of generations in both of the host populations. Limited gene lfows were found among the six populations. The Nei’s standard genetic distances between the two host populations of the same generation were initially low, but increased with generation number. Genetic distances between banana and navel orange populations of the same generation were lower than genetic distances between different generations grown on the same host plant. Analysis of molecular distance （AMOVA） results based on generation groups and host groups demonstrated that genetic variation among generations was greater than that between the two host populations. The results indicated that population genetic differentiation occurred after the host shift, albeit at low level. Biogeography and taxonomy of the B. dorsalis complex revealed that speciation of B. dorsalis might be tightly associated with host shift or host specialization of B. dorsalis following dispersal.

STABILITY ANALYSIS FOR TWO KINDS OF EQUATIONS IN TWO-SPECIES POPULATION DYNAMICS

In this paper we study the stability for equilibrium points of equations in two-population dynamics. We discuss two predator-prey-patch models. Model 1 is described by a differential equation. Model 2 is described by an integral differential equation. We obtain the conditions for the stability of their equilibrium points. The results show that the overall population stability despite local extinction is realizable.