温度和食物浓度对三品系萼花臂尾轮虫实验种群动态的影响

应用个体培养方法,研究了温度(20、25和30℃)和藻类食物浓度(1．5×10^6、3．0×10^6、6．0×10^6和9．0×10^6cells·ml^-1)对青岛、芜湖、广州三品系萼花臂尾轮虫种群动态的影响．结果表明,温度仅对轮虫的世代时间和种群内禀增长率有显著影响,而品系对所有生命表参数均无显著影响．轮虫种群的内禀增长率随培养温度的升高而增大,世代时间则随培养温度的升高而缩短．食物浓度仅对轮虫的生命期望值和平均寿命有显著影响,品系对轮虫的净生殖率、世代时间、生命期望值和平均寿命也有显著影响．三品系间,以广州品系轮虫的净生殖率、世代时间、生命期望值和平均寿命最大,芜湖品系最短．当食物浓度为3．0×10^6cells·ml^-1时,轮虫的生命期望值和平均寿命最长,9．0×10^6cells·ml^-1时最短．各品系轮虫的净生殖率、世代时间、总生殖率、生命期望值和平均寿命均随培养温度的升高而减小,广州品系的净生殖率除外．轮虫种群的内禀增长率和广州品系轮虫的总生殖率则随培养温度的升高而增大．青岛和广州品系轮虫的各生命表参数,均与食物浓度呈曲线相关,但芜湖品系仅世代时间、平均寿命和生命期望值随食物浓度的增大而缩短．     

温度和食物浓度对三品系萼花臂尾轮虫实验种群动态的影响

应用个体培养方法,研究了温度(20、2和30 ℃)和藻类食物浓度(1.5×10₆、3.0×10₆、6.0×10₆和9.0×10₆ cells·ml^-1)对青岛、芜湖、广州三品系萼花臂尾轮虫种群动态的影响.结果表明,温度仅对轮虫的世代时间和种群内禀增长率有显著影响,而品系对所有生命表参数均无显著影响.轮虫种群的内禀增长率随培养温度的升高而增大,世代时间则随培养温度的升高而缩短.食物浓度仅对轮虫的生命期望值和平均寿命有显著影响,品系对轮虫的净生殖率、世代时间、生命期望值和平均寿命也有显著影响.三品系间,以广州品系轮虫的净生殖率、世代时间、生命期望值和平均寿命最大,芜湖品系最短.当食物浓度为3.0×10₆ cells·ml^-1时,轮虫的生命期望值和平均寿命最长,9.0×10₆ cells·ml^-1时最短.各品系轮虫的净生殖率、世代时间、总生殖率、生命期望值和平均寿命均随培养温度的升高而减小,广州品系的净生殖率除外.轮虫种群的内禀增长率和广州品系轮虫的总生殖率则随培养温度的升高而增大.青岛和广州品系轮虫的各生命表参数,均与食物浓度呈曲线相关,但芜湖品系仅世代时间、平均寿命和生命期望值随食物浓度的增大而缩短.     

似Allee效应对2-物种集合种群竞争动态的影响

集合种群具有与局域种群Allee效应相似的现象被称为似Allee效应.将似Allee效应引入2-竞争物种集合种群系统,建立了具有似Allee效应的2-物种集合种群演化动态模型.大量的数值模拟表明:(1)似Allee效应导致集合种群水平上两竞争物种构成的系统具有多个平衡态;(2)似Allee效应使竞争共存物种无法续存甚至全部灭绝,即使种群具有很高的初始斑块占有率,并且最终平衡态随初始斑块占有率变化而改变;(3)似Allee效应可能使竞争排斥物种共同灭绝,且效应越强,物种存活时间越短;但似Allee效应不会增强强物种对弱物种的排斥强度,反而可能使强物种变为弱物种,弱物种变为强物种,其具有与栖息地毁坏类似的影响种群竞争等级排序的作用;(4)似Allee效应对竞争集合种群续存是一个不稳定的干扰因素,微小的变化都将引起系统平衡态的剧变.但对于已经达到平衡态的集合种群系统,似Allee效应对强弱种群多度起到调节与制约的作用,有助于平衡态集合种群的稳定与共存,这一结论更完整的揭示了似Allee效应在竞争集合种群系统发展的不同阶段所起的不同作用.以上这些结论对物种保护及集合群落的管理具有重要的指导意义.     

捕食系统时空动态对非对称的Allee效应的响应

虽然具有Allee效应的捕食系统动态已得到了广泛的研究,但很少有研究关注同一系统中不同种群受Allee效应影响情况.本文将考虑捕食、食饵种群分别受.Allee效应的影响,利用常微分方程与元胞自动机建立空间隐含(非空间)与显含的捕食模型,并讨论了Allee效应对捕食、食饵种群相互作用的非对称影响.空间隐含模型的模拟结果显示,捕食系统的稳定性与哪一个种群受Allee效应影响有关.当食饵种群受到中等强度Allee效应影响时,系统从稳定变为振荡状态.然而,捕食种群受Allee效应影响可使系统振动减弱并迅速达到稳定.空间显含模型的模拟结果表明,在概率转化模式下Allee效应可促使空间异质化,而捕食种群受Allee效应影响时空间异质化比食饵种群受影响时更强.此外,考虑统计随机性后发现两种群分别受Allee效应影响时种群呈现出两种分布模式:聚集型和界限型.特别当食饵受Allee效应,加之空间结构及统计随机性的作用,捕食系统出现一种矛盾的现象.     

捕食者具有厌食性反应且食饵具有Allee效应的捕食系统

在Dubis动力系统的基础上,建立了具有Allee效应的捕食系统模型。对系统的稳定性进行了分析,受Allee效应的影响,食饵种群可能因为种群大小处于临界点以下而趋于灭绝。通过对系统进行模拟,结果表明:不受Allee效应的影响,系统的演化属于一种理想化的情形系统到达P(平衡)点的时间较不受Allee效应影响时系统到达P点的时间短,不利于生物的进化,而在Allee效应的影响下,系统的演化将达到一个平衡状态。由此,说明Allee效应为濒临灭绝物种的管理提供了重要的理论依据,对管理部门的决策有参考指导作用。     

集合种群空间混沌的模拟研究以及Allee效应、拥挤效应与捕食效应对空间模式的影响

集合种群的空间模式研究是当今生态学的核心问题之一。本研究利用常微分动力系统以及基于网格模型的元胞自动机模型对Allee效应、拥挤效应以及捕食作用集合种群的空间分布模式做了全面的模拟研究。Allee效应描述当种群水平低于某一阈值时会发生由生殖成功几率下降造成的种群负增长率,而拥挤效应是指当种群密度过高时引起的个体性为异常从而达到调节种群增长率的作用。文章组建了3个空间确定性模型：局部作用模型(CIM)、距离敏感模型(DSM)和集合种群捕食模型(MMP)。局部作用模型显示在一维生境中空斑块形成金字塔状,二维模型显示出明显的动态拟周期性以及由空间混沌所形成的异质性。距离敏感模型可导致由迁移个体中密度制约强度决定的集合种群大小复杂动态与种群密度的双峰分布。这些结果说明动态行为的复杂性,不仅可用于表征研究物种的特性,而且可以表明该物种的续存能力与灭绝风险。集合种群捕食模型是概率转换空间模型,利用该模型得出了依赖于模型参数和生境尺度的白组织种群概率空间分布模式。模拟的结果表明,系统的内在机制和这种白组织模式导致捕食者形成集团型不明显的“捕食小组”或“杀手小组”,并具有较高扩散力．但却包括侵占率低、灭绝率高的特点。而使猎物种群形成高集团性、高侵占率、低灭绝率、低扩散力的种群集团。这种特点又使捕食者种群在生境中处于中心地带,而使猎物种群形成在捕食者和生境边缘间的环状分布。这些结果还说明了尺度对于生态学的研究是至关重要的,不同的尺度将产生不同的系统模式。     

卜氏晶囊轮虫对萼花臂尾轮虫形态及种群生活史对策的短期和长期影响

初步探究了捕食者卜氏晶囊轮虫对其猎物萼花臂尾轮虫形态及种群生活史对策的短期和长期影响。结果表明,在含卜氏晶囊轮虫信号的环境中培养得到的萼花臂尾轮虫所产后代个体较对照组侧棘刺明显增长,体型增大,卵体积增大,净生殖率明显降低。短期接触捕食者信号的萼花臂尾轮虫种群与长期接触捕食者信号的萼花臂尾轮虫种群相比,具有较大的卵体积和较短的侧棘刺,同时具有显著较高的净生殖率。     

橙腹田鼠中延缓性密度依赖效应和种群波动

检验了延迟的密度依赖对橙腹田鼠 (Microtusochrogaster)一个波动种群的生存和生殖的影响 ,研究持续了 63个月 ,取样间隔为 3 5天。在研究期间 ,该种群的密度经历了 4次波动 ,每次波动的高峰都在 11月至次年 1月 ,种群数量在冬季下降。生存和生殖都有负面的密度依赖效应 ,最大效应具有 2个月的时滞。种群存活率增长对种群密度最大的正面效应具有 2个月的时滞 ,而对与增加生殖则有 3个月的时滞。内部因素和冬季都可能推延对生殖的密度依赖效应 ,但是本文未能检验这些内部因素的影响。季节性影响看来与对生存的延缓性密度依赖效应无关。负面的延缓性密度依赖效应对生存和生殖的净作用可能在于减少、而不是阻止橙腹田鼠种群波动的幅度     

中国啮齿类繁殖参数的地理变异

本文综述了我国8个鼠种(Cricetulus triton,Cricetulus barabensis,Microtus fortis,Apo—demus agrarius,Rattus norvegicus,Rattus losea,Rattus flavipectus,Mus musculus)的繁殖参数在不同纬度、经度和海拔上的变异趋势。8种鼠的胎仔数,怀胎率和生殖强度(胎仔数×怀胎率/性比)随纬度、海拔增加有增加的趋势;繁殖期和性比()有减小趋势。各繁殖参数在经度上的变化规律尚不清楚。野外小家鼠的胎仔数,雌性比例、怀胎率和生殖强度均比居民区大。 在高纬度、高海拔地区,种群增大生殖强度在于补偿较短的繁殖期和较低的存活率,以维持种群稳定和繁衍成功。这种繁殖对策是自然选择的结果。     

溴氰菊酯对萼花臂尾轮虫实验种群动态的影响

采用生命表技术对暴露于不同浓度溴氰菊酯溶液中的萼花臂尾轮虫的存活和繁殖进行了研究。结果显示, 溴氰菊酯使轮虫的存活时间显著缩短, 繁殖率降低; 当溴氰菊酯浓度高达3 6 mg/L时, 轮虫的存活时间最短、繁殖率最低。与对照组相比, 除1 2 mg/L外, 其它各浓度的溴氰菊酯均使轮虫的生殖前期显著延长; 浓度为0 6和1 2 mg/L的溴氰菊酯使轮虫的生殖期显著延长, 而浓度为2 4和3 0 mg/L的溴氰菊酯却使轮虫的生殖期显著缩短; 1 2 mg/L的溴氰菊酯使轮虫的平均寿命显著延长。轮虫的生命期望、世代时间、净生殖率和种群内禀增长率均随溴氰菊酯浓度的升高而下降。当溴氰菊酯浓度升高达1 2 mg/L时, 轮虫的净生殖率开始与对照组有显著差异; 而轮虫的种群内禀增长率从溴氰菊酯浓度升高达2 4 mg/L时才开始与对照组有显著差异。在溴氰菊酯的毒性监测中, 净生殖率是比种群内禀增长率更敏感的指标。     

When does parameter drift decrease the uncertainty in extinction risk estimates?

Halley (2003) proposed that parameter drift decreases the uncertainty in long‐range extinction risk estimates, because drift mitigates the extreme sensitivity of estimated risk to estimated mean growth rate. However, parameter drift has a second, opposing effect: it increases the uncertainty in parameter estimates from a given data set. When both effects are taken into account, parameter drift can increase, sometimes substantially, the uncertainty in risk estimates. The net effect depends sensitively on the type of drift and on which model parameters must be estimated from observational data on the population at risk. In general, unless many parameters are estimated from independent data, parameter drift increases the uncertainty in extinction risk. These findings suggest that more mechanistic PVA models, using long‐term data on key environmental variables and experiments to quantify their demographic impacts, offer the best prospects for escaping the high data requirements when extinction risk is estimated from observational data.     

The maximum yield problem: Distortion in the yield curve due to age structure

An unselective harvest is sustainable if the per capita removal rate balances the net per capita growth rate of the population. If the function relating the growth rate to population density is known, finding the density at which the maximal total harvest rate may be achieved is a simple exercise in parameter optimization. In age-structured populations the per capita growth rate is related in a complicated way to the age-specific vital rates upon which density feedbacks directly operate. Generally, the function relating the per capita growth rate to density will resemble a log transform of the function relating age-specific fecundities to density. Accordingly, maximum yield is attained at a population density that is closer to the saturation density than we would expect on the basis simply of substituting the functional form of the density dependence of fecundity into the parameter optimization model derived for the case without age structure. The amount of the discrepancy increases with the intensity of the density feedback and with the degree to which the reproduction of a cohort is dominated by reproduction taking place during a span of ages that is small relative to the generation time.     

A family of general production curves for exploited populations

A form for the growth term in the differential equation for biomass change with time is proposed, which is based on a versatile new family of stock-recruitment curves. The resultant yield curves of a general production model are investigated. The form of the curves is more variable than is usual in such models, but depends systematically on the values adopted for biologically well-defined parameters such as natural mortality and natural rate of increase. The consequences for management are explored by examining the magnitude of the maximum sustainable yield (MSY) and suitable values for the yield?biomass ratio.It is concluded that the MSY is of the order of but usually somewhat less than 0.5 MB₀, although variation by a factor of three either way is possible. MSY is usually attained at a yield?biomass ratio no more than a few times M (the natural mortality), and at biomasses less than half the pristine biomass (B₀). However, exploitation of stocks having domed stock-recruitment curves at MSY is dangerous, because the ability of the population to recover from perturbations is impaired. This is associated with an increase in the return time for the population.     

Estimation and computation of the growth rate in Leslie's and Lotka's population models.

Leslie's or Lotka's population model has a rate of natural increase (lambda or r) which represents the growth rate of the population and characterizes the ability of the population to attain a stable age distribution. In this article are presented upper and lower bounds on that rate, primarily in terms of the net reproduction rate and other commonly used parameters of the population. Also a discussion is given of quadratically convergent numerical iterative methods of computing the growth rate.     

Applications of Perron-Frobenius theory to population dynamics

 By the use of Perron–Frobenius theory, simple proofs are given of the Fundamental Theorem of Demography and of a theorem of Cushing and Yicang on the net reproductive rate occurring in matrix models of population dynamics. The latter result, which is closely related to the Stein–Rosenberg theorem in numerical linear algebra, is further refined with some additional nonnegative matrix theory. When the fertility matrix is scaled by the net reproductive rate, the growth rate of the model is $1$. More generally, we show how to achieve a given growth rate for the model by scaling the fertility matrix. Demographic interpretations of the results are given. Received: 15 January 2000 / Revised version: 15 April 2001 / Published online: 8 May 2002     

Combining Gompertzian growth and cell population dynamics

A two-compartment model of cancer cells population dynamics proposed by Gyllenberg and Webb includes transition rates between proliferating and quiescent cells as non-specified functions of the total population, N. We define the net inter-compartmental transition rate function: Phi(N). We assume that the total cell population follows the Gompertz growth model, as it is most often empirically found and derive Phi(N). The Gyllenberg-Webb transition functions are shown to be characteristically related through Phi(N). Effectively, this leads to a hybrid model for which we find the explicit analytical solutions for proliferating and quiescent cell populations, and the relations among model parameters. Several classes of solutions are examined. Our model predicts that the number of proliferating cells may increase along with the total number of cells, but the proliferating fraction appears to be a continuously decreasing function. The net transition rate of cells is shown to retain direction from the proliferating into the quiescent compartment. The death rate parameter for quiescent cell population is shown to be a factor in determining the proliferation level for a particular Gompertz growth curve.     

A two-component model of host-parasitoid interactions: determination of the size of inundative releases of parasitoids in biological pest control

A two-component differential equation model is formulated for a host-parasitoid interaction. Transient dynamics and population crashes of this system are analysed using differential inequalities. Two different cases can be distinguished: either the intrinsic growth rate of the host population is smaller than the maximum growth rate of the parasitoid or vice versa. In the latter case, the initial ratio of parasitoids to hosts should exceed a given threshold, in order to (temporarily) halt the growth of the host population. When not only oviposition but also host-feeding occurs the dynamics do not change qualitatively. In the case that the maximum growth rate of the parasitoid population is smaller than the intrinsic growth rate of the host, a threshold still exists for the number of parasitoids in an inundative release in order to limit the growth of the host population. The size of an inundative release of parasitoids, which is necessary to keep the host population below a certain level, can be determined from the two-component model. When parameter values for hosts and parasitoids are known, an effective control of pests can be found. First it is determined whether the parasitoids are able to suppress their hosts fully. Moreover, using our simple rule of thumb it can be assessed whether suppression is also possible when the relative growth rate of the host population exceeds that of the parasitoid population. With a numerical investigation of our simple system the design of parasitoid release strategies for specific situations can be computed.     

Food-dependent growth leads to overcompensation in stage-specific biomass when mortality increases: the influence of maturation versus reproduction regulation

We analyze a stage-structured biomass model for size-structured consumer-resource interactions. Maturation of juvenile consumers is modeled with a food-dependent function that consistently translates individual-level assumptions about growth in body size to the population level. Furthermore, the model accounts for stage-specific differences in resource use and mortality between juvenile and adult consumers. Without such differences, the model reduces to the Yodzis and Innes (1992) bioenergetics model, for which we show that model equilibria are characterized by a symmetry property that reproduction and maturation are equally limited by food density. As a consequence, biomass production rate exactly equals loss rate through maintenance and mortality in each consumer stage. Stage-specific differences break up this symmetry and turn specific stages into net producers and others into net losers of biomass. As a consequence, the population in equilibrium can be regulated in two distinct ways: either through total population reproduction or through total population maturation as limiting process. In the case of reproduction regulation, increases in mortality may lead to an increase of juvenile biomass. In the case of maturation regulation, increases in mortality may increase adult biomass. This overcompensation in biomass occurs with increases in both stage-independent and stage-specific mortality, even when the latter targets the stage exhibiting overcompensation.