Note on Systematic Sampling

In the use of systematic sampling in surveys it is known that the effect of negative correlations (=ϱ_wst) between deviations from stratum means of pairs of items in the same systematic sample is such that the resulting variance V(ȳ_st) can be zero for systematic sample means ȳ_st (e.g., Cochran, 1977, ch. 8). For such populations systematic sampling is then superior both to stratified sampling (one unit per stratum) and to simple random sampling. Cochran (loc. cit.) does not identify special types of finite populations for which ϱ_wst = −1/(n -1) and hence V(ȳ_st) =0. It is the purpose of this paper to present one type of population for which this condition is satisfied.     

Electrophysiological identification of hygroreceptor neurons from the antennal dome-shaped sensilla in the ground beetle Pterostichus oblongopunctatus

This study gives the first electrophysiological evidence of hygroreceptors in carabids. Extracellular recordings from the antennal dome-shaped sensilla of the carabid beetle Pterostichus oblolongopunctatus (Coleoptera, Carabidae) clearly show the presence of moist and dry neuron antagonistically responding to humidity changes. The cold neuron of the same sensillum did not respond to changes in humidity. For the first time, we demonstrate that the binary system of two antagonistic hygroreceptor neurons discriminates differences between steady-state humidity levels more sensitively than either neuron separately. Another advantage of the binary system is that it guarantees immediate and strong phasic-tonic response to rapid humidity changes in either direction. In the hygrosensing system of carabids, this would allow detection of subtle step-changes in humidity with greater sensitivity than differences in steady-state values of humidity. Thus, construction of the hygrosensing system with opposing receptor neurons may allow insects to detect environmental humidity differences critical for their habitat and microhabitat selection, and survival with great precision.     

Relative growth rate in relation to physiological and morphological traits for northern hardwood tree seedlings: species,light environment and ontogenetic considerations

The influence of ontogeny, light environment and species on relationships of relative growth rate (RGR) to physiological and morphological traits were examined for first-year northern hardwood tree seedlings. Three Betulaceae species (Betula papyrifera, Betula alleghaniensis and Ostrya virginiana) were grown in high and low light and Quercus rubra and Acer saccharum were grown only in high light. Plant traits were determined at four ages: 41, 62, 83 and 104 days after germination. In high light (610 mol m^–2 s^–1 PPFD), across species and ages, RGR was positively related to the proportion of the plant in leaves (leaf weight ratio, LWR; leaf area ratio, LAR), in situ rates of average canopy net photosynthesis (A) per unit mass (A_mass) and per unit area (A_area), and rates of leaf, stem and root respiration. In low light (127 mol m^–2 s^–1 PPFD), RGR was not correlated with A_mass and A_area whereas RGR was positively correlated with LAR, LWR, and rates of root and stem respiration. RGR was negatively correlated with leaf mass per area in both high and low light. Across light levels, relationships of CO₂ exchange and morphological characteristics with RGR were generally weaker than within light environments. Moreover, relationships were weaker for plant parameters containing a leaf area component (leaf mass per area, LAR and A_area), than those that were solely mass-based (respiration rates, LWR and A_mass). Across light environments, parameters incorporating the proportion of the plant in leaves and rates of photosynthesis explained a greater amount of variation in RGR (e.g. LWR^*A_mass, R²=0.64) than did any single parameter related to whole-plant carbon gain. RGR generally declined with age and mass, which were used as scalars of ontogeny. LWR (and LAR) also declined for seven of the eight species-light treatments and A declined in four of the five species in high light. Decreasing LWR and A with ontogeny may have been partially responsible for decreasing RGR. Declines in RGR were not due to increased respiration resulting from an increase in the proportion of solely respiring tissue (roots and stems). In general, although LWR declined with ontogeny, specific rates of leaf, stem, and root respiration also decreased. The net result was that whole-plant respiration rates per unit leaf mass decreased for all eight treatments. Identifying the major determinants of variation in growth (e.g. LWR^*A_mass) across light environments, species and ontogeny contributes to the establishment of a framework for exploring limits to productivity and the nature of ecological success as measured by growth. The generality of these relationships both across the sources of variation we explored here and across other sources of variation in RGR needs further study.     

On Relative Precision in Stratified Sampling for a Mean with Fixed Cost

This paper considers the extrema of the relative precision (R. P.), or the ratio of the variance of optimum allocation to that of proportional allocation in stratified sampling for a mean (=Y) or total (=Y) when there is a fixed cost C=c_o+σn_hc_h over L strata. The upper bound of R. P. is shown to be equal to unity, though the lower bound can be negative while approaching zero if the finite population size N→∞. Numerical results (cf. Table) when the upper bound of R. P. = 1 is attained are included for the cases L≦4 with various combinations of {W_h}, {c_h} and a fixed cost C; these give the appropriate sample sizes (=n_p) determined for proportional sampling in the cases of finite populations of sizes N=5000, 10,000 respectively.     

The influence of developmental mortality on optimal sex allocation under local mate competition

In panmictic populations, optimal sex allocation is, under theassumptions of Fisher's model, not influenced by the probabilityof offspring developmental mortality, or by differences in mortalitybetween the sexes. In contrast, when mating opportunities areconfined to siblings, developmental mortality can influenceoptimal sex allocation. Many animal species have both localmating and developmental mortality. We show that when developmentalmortality is random for individual offspring, optimal sex allocationis influenced by mortality among males but not among females.Male mortality increases the allocation to males, but this shouldnever be male biased, even under extreme male mortality. Thisresult applies both when mothers are able to control the sexof individual offspring precisely, and when sex is allocatedwith binomial probability. The influence of mortality becomesprogressively larger when the variance of the distribution ofmortality over clutches diminishes. The reduction in fitnessis greater than the proportion of mortality, especially at smallclutch sizes, and mortality reduces the advantage of producingprecise sex ratios, and of local mate competition in general.     

Why can't we make research grant allocation systems more consistent? A personal opinion

Uncertainty is expected to enter into our grant allocation processes at many points, not limited to those directly involving assessment by peers. The selection of grants for funding is thus prodigiously low in statistical power and will remain so. The replacement of current systems with some form of lottery, as has been proposed, seriously risks weakening the quality of applications. Opportunities exist for agencies to encourage and reward greater clarity and innovation in research outcomes.     

不同基因型辣椒光合及生长特性对弱光的响应

通过遮光使光照强度降低65%～70%,以研究弱光条件对不同基因型辣椒光合特性、同化物分配、产量形成和幼苗生长的影响.结果表明：弱光下辣椒净光合速率（P_n）、暗呼吸速率（R_d）、夜间呼吸速率（R_n）、蒸腾速率（T_r）、水分利用效率（WUE）、光补偿点（LCP）、CO₂补偿点（CCP）和羧化效率（CE）下降,表观量子效率（AQY）上升.弱光下辣椒成株期光合作用的限制因素是非气孔因素.弱光处理使辣椒幼苗高/粗比和比叶面积增加,根/冠比、全株干样质量及壮苗指数显著下降.弱光显著抑制了辣椒生物产量与经济产量的形成,使植株同化物向茎叶的分配比例增加,向果实的分配比例减少.辣椒（果实味辣）在弱光下具有较低的光补偿点,以及较高的相对壮苗指数、相对单株产量和相对坐果率,耐弱光性普遍强于甜椒（果实味甜）.     

Seedling growth strategies in Bauhinia species: comparing lianas and trees

BACKGROUND AND AIMS: Lianas are expected to differ from trees in their growth strategies. As a result these two groups of woody species will have different spatial distributions: lianas are more common in high light environments. This study determines the differences in growth patterns, biomass allocation and leaf traits in five closely related liana and tree species of the genus Bauhinia. METHODS: Seedlings of two light-demanding lianas (Bauhinia tenuiflora and B. claviflora), one shade-tolerant liana (B. aurea), and two light-demanding trees (B. purpurea and B. monandra) were grown in a shadehouse at 25% of full sunlight. A range of physiological, morphological and biomass parameters at the leaf and whole plant level were compared among these five species. KEY RESULTS: The two light-demanding liana species had higher relative growth rate (RGR), allocated more biomass to leaf production [higher leaf mass fraction (LMF) and higher leaf area ratio (LAR)] and stem mass fraction (SMF), and less biomass to the roots [root mass fraction (RMF)] than the two tree species. The shade-tolerant liana had the lowest RGR of all five species, and had a higher RMF, lower SMF and similar LMF than the two light-demanding liana species. The two light-demanding lianas had lower photosynthetic rates per unit area (A(area)) and similar photosynthetic rates per unit mass (A(mass)) than the trees. Across species, RGR was positively related to SLA, but not to LAR and A(area). CONCLUSIONS: It is concluded that the faster growth of light-demanding lianas compared with light-demanding trees is based on morphological parameters (SLA, LMF and LAR), and cannot be attributed to higher photosynthetic rates at the leaf level. The shade-tolerant liana exhibited a slow-growth strategy, compared with the light-demanding species.