A Note on Estimation of Several Missing Values in Two Way Classified Data with Many Observations Per Cell

In this paper an attempt has been made to reduce the computational complexities involved in estimation of several missing values. As a result it has been shown that one can estimate m missing values by developing only k (≤m) linear equations, where m and k are respectively the number of missing values and missing cells. The procedure is also illustrated with the help of a numerical example.     

Estimating the Order of a Sequence of Physiological Changes from Incomplete Data

The problem considered in this paper is the estimation of the underlying order of m physiological changes from incomplete observations. The observations are incomplete in the sense that, for each individual in the sample, only the identity, but not the order, of the first k < m changes are observed, with k varying between individuals. An application to some data on physiological changes in fish undergoing sex change is presented.     

Further characterization of AFLP® data as a tool in genetic diversity assessments among maize (Zea mays L.) inbred lines

AFLP® markers generated by CNG methylation sensitive (PstI/MseI) and CNG methylation insensitive (EcoRI/MseI) enzyme combinations and AFLP markers collected from hypomethylated (PstI/MseI) and hypermethylated (^m PstI/MseI) regions were compared for their polymorphism information content, sampling variance and patterns of genetic diversity in a representative sample of 33 inbred lines of maize (Zea mays L.). We demonstrate that the mean polymorphism information content generated by sets of PstI/MseI and ^m PstI/MseI markers (0.38) is significantly higher than by sets ofEcoRI/MseI markers (0.33). Also the sampling variance highlighted the distinctive nature of the ^(m) PstI/MseI markers: to achieve a mean standard deviation of 5% in the estimation of genetic distance among the 33 inbreds, the PstI/MseI and ^m PstI/MseI marker sets (135 and 129 markers, respectively) are clearly smaller than the EcoRI/MseI marker set (173 markers). A further minimizing of the sampling variance of AFLP data in the estimation of genetic similarities was obtained by reducing marker information redundancy by selecting markers evenly distributed over each chromosome: a set of only 106 AFLP markers, sampled conditionally on their genetic map position, was required for a mean standard deviation of 5% in the estimation of genetic distance among the 33 inbreds.     

Underestimation of mutual interference of predators

Summary The usual method of estimating the mutual interference constant, m, assumes a linear (type I) functional response of predators. In the cases where the response is not linear, the application of the method introduces a bias in the estimation of the searching efficiencies. It is shown that, as a consequence, the value of m is underestimated. A new method is proposed, which allows for a type II functional response due to a handling time. A comparative analysis of 15 data sets from the literature shows that the proposed method gives values of m that are consistently higher than those estimated by the traditional method. The new method calculates the parameters with nonlinear regression and provides standard errors for the estimates. Therefore, the reliability of the searching efficiencies, the handling time and the constant m can be quantified. Very few of the interference constants are significantly different from m=1. This special value implies that the functional response is a function of the ratio of prey and predator densities. These empirical findings support the suggestion of Arditi and Ginzburg (1989) that the functional response might often be ratio-dependent, especially in complex and heterogeneous situations.     

The relationship of substrate, growth rate, and maintenance coefficient to single cell protein production

Various organic compounds were assessed as potential substrates for single cell protein production. Substrate evaluation was based on the costs associated with the substrate, oxygen, and heat yield coefficients: Y_sub, Y_o, and Y_kcal, respectively. Y_o, and Y_kcal, were calculated from experimental values of Y_sub, and from the elemental composition of bacterial cells. The dependence of the yield coefficients on the specific growth rate (μ) and maintenance coefficient (m) also was assessed. The analysis disclosed that m caused two- to threefold variations in the yield coefficients as μ was increased from 10% to 100% of μ_max. The effect of different m values at constant specific growth rates also was determined. The value of m had a significant effect on the yield coefficients even at high specific growth rates. Assignment of cost factors to the yield coefficients provided an estimation of the impact m and μ on biomass production costs.     

A New Estimator of the Discovery Probability

Summary Species sampling problems have a long history in ecological and biological studies and a number of issues, including the evaluation of species richness, the design of sampling experiments, and the estimation of rare species variety, are to be addressed. Such inferential problems have recently emerged also in genomic applications, however, exhibiting some peculiar features that make them more challenging: specifically, one has to deal with very large populations (genomic libraries) containing a huge number of distinct species (genes) and only a small portion of the library has been sampled (sequenced). These aspects motivate the Bayesian nonparametric approach we undertake, since it allows to achieve the degree of flexibility typically needed in this framework. Based on an observed sample of size n , focus will be on prediction of a key aspect of the outcome from an additional sample of size m , namely, the so‐called discovery probability. In particular, conditionally on an observed basic sample of size n , we derive a novel estimator of the probability of detecting, at the (n+m+1) th observation, species that have been observed with any given frequency in the enlarged sample of size n+m . Such an estimator admits a closed‐form expression that can be exactly evaluated. The result we obtain allows us to quantify both the rate at which rare species are detected and the achieved sample coverage of abundant species, as m increases. Natural applications are represented by the estimation of the probability of discovering rare genes within genomic libraries and the results are illustrated by means of two expressed sequence tags datasets.     

Estimation of the Power of the Kruskal-Wallis Test

Power calculations of a statistical test require that the underlying population distribution(s) be completely specified. Statisticians, in practice, may not have complete knowledge of the entire nature of the underlying distribution(s) and are at a loss for calculating the exact power of the test. In such cases, an estimate of the power would provide a suitable substitute. In this paper, we are interested in estimating the power of the Kruskal-Wallis one-way analysis of variance by ranks test for a location shift. We investigated an extension of a data-based power estimation method presented by Collings and Hamilton (1988), which requires no prior knowledge of the underlying population distributions other than necessary to perform the Kruskal-Wallis test for a location shift. This method utilizes bootstrapping techniques to produce a power estimate based on the empirical cumulative distribution functions of the sample data. We performed a simulation study of the extended power estimator under the conditions of k = 3 and k = 5 samples of equal sizes m = 10 and m = 20, with four underlying continuous distributions that possessed various location configurations. Our simulation study demonstates that the Extended Average × & Y power estimation method is a reliable estimator of the power of the Kruskal-Wallis test for k = 3 samples, and a more conservative to a mild overestimator of the true power for k = 5 samples.     

青藏高原草地地上生物量估算

及时准确评估草地产草量对草地资源的科学管理和可持续发展具有重要意义。青藏高原自然环境特殊,气候差异显著,地形复杂,仅依靠遥感信息准确监测草地地上生物量(Aboveground Biomass,AGB)变化有较大限制。基于青藏高原草地AGB野外实测数据与Landsat遥感影像,探索了植被指数表征草地AGB信息的有效性,评估了气象和地形信息对准确估算草地AGB的影响,综合利用气象、地形和遥感信息,在新一代地球科学数据和分析应用平台(Google Earth Engine)上构建了梯度增强回归树草地AGB估算模型,绘制了青藏高原多年草地AGB空间分布图。结果表明:(1)基于单因素遥感因子的线性回归模型仅能解释8%-40%的草地AGB变化情况,其中绿色归一化植被指数(Green Normalized Difference Vegetation Index, GNDVI)对草地AGB解释能力较强(40%)。(2)基于遥感因子构建的梯度增强回归树模型测试集R²为0.57。分别添加气象、地形信息,模型对草地AGB的估测准确性有所提升,测试R²为0.62和0.63。(3)基于气象、地形和遥感因子的多因素估测模型能够提高草地AGB估测精度,经递归特征消除法优选后,基于13个特征变量的梯度增强回归树模型拟合效果最好(训练数据集R²=0.79,RMSE=43.42 g/m²,P<0.01;测试数据集R²=0.66,RMSE=53.64 g/m²,P<0.01),可以解释66%草地AGB变化情况。(4)2010年青藏高原平均AGB为94.58 g/m²,2015年93.63 g/m²,2020年100.78 g/m²。青藏高原西北部草地AGB较低,东南部草地AGB较高,整体呈现自西北向东南逐渐增加的分布格局。研究结果为准确估算青藏高原草地产草量和碳储量等研究提供重要参考。     

Methods of mesophyll conductance estimation: its impact on key biochemical parameters and photosynthetic limitations in phosphorus‐stressed soybean across CO2

Despite the development of various methods, the rapid estimation of mesophyll conductance (g_m) for a large number of samples is still a daunting challenge. Although the accurate estimation of g_m is critical to partition photosynthetic limitations by stomatal (L_s) and mesophyll (L_m) conductance and by photo‐biochemical (L_b) processes, the impact of various g_m estimation methods on this is ambiguous. As phosphorus (P) starvation and elevated CO₂ (eCO₂) strongly affect photosynthetic processes, their combined effect on the proportional changes in these limitations are not well understood. To investigate this, while also evaluating distinct recent methods of g_m estimation sharing few common theories and assumptions, soybean was grown under a range of P nutrition at ambient and eCO₂. Methods significantly affected g_m and carboxylation efficiency (V_Cmax) but not other photosynthetic parameters. In all the methods, all photosynthetic parameters responded similarly to treatments. However, the percentage difference between V_Cmax assuming finite and infinite g_m was highly inconsistent among methods. The primary mechanism responsible for P limitation to soybean photosynthesis was not CO₂ diffusion limitations but L_b comprised of reduced chlorophyll, photochemistry and biochemical processes. The eCO₂ decreased L_b but increased L_m without affecting L_s across leaf P concentration. Although each method explored advances of our understanding about g_m variability, they all require assumptions of varying degrees, which lead to the discrepancy in the g_m values. Among the methods, the oxygen sensitivity‐based g_m estimation appeared to be suitable for the quick assessment of a large number of samples or genotypes. Digital tools are provided for the easy estimation of g_m for some methods.     

A mathematical approach for the estimation of biomass production rate in solid state fermentation

The oxygen uptake rate (OUR) was studied in a solid state fermentation process of dried citrus peel with the strain Aspergillus niger QH-2 in order to obtain the growth estimation of the microorganism in the system. The relationship between OUR, the maintenance coefficient (m) and the yield for oxygen consumption Y_O2 allows the estimation of the biomass rate if we consider that both parameters are not constants in some periods of the process. It was estimated that in the first 24th the strain has an specific growth rate of 0.174 h^?1 with values for Y_O2 and m in the order of 2.84 g-cell/g-oxygen and 0.006 g-oxygen/g-cell ·h respectively.     

A Method for Preparing 16α-Hy-droxypregnenolone-3-succinate by Streptomyces roseochromogenes

A choline dehydrogenase, which was present in the particulate fraction of the cell-free extract of Pseudomonas aeruginosa A-16, oxidized choline to betaine aldehyde without any dissociable coenzymes, while the enzyme, which was treated with Triton X-100, oxidized choline only with a supplement of phenazine methosulfate. The difference spectrum showed the presence of cytochrome-like components in the particulate. Km values for choline and phenazine methosulfate were 1.7 × 10^?3 m and 1.4 × 10^?4 m, respectively. The dehydrogenase was inhibited by SH-reagents such as p-chloromercuribenzoate and iodoacetic acid. Of a variety of substrates tested, only choline caused the enzymatic reduction of phenazine methosulfate. The estimation of choline was tried using the enzyme.     

Purification and properties of several transfer RNA methyltransferases fromS. typhimurium

Summary A fast method for a single-step fractionation of a number of tRNA methyltransferases fromSalmonella typhimurium is described. The method basically consists of ion-exchange chromatography on a phosphocellulose column and permits the separation of the enzymes forming mt⁶A, m¹G, m⁵U, m⁷G. The enzyme fractions appear sufficiently purified to allow the estimation of some molecular and kinetic properties. The apparent K_M for adenosylmethionine range between 1.5 to 3.2×10⁻⁵ M, whereas K_M for undermethylated tRNA range between 3.1×10⁻⁵ M to 3.1×10⁻⁴ M. Glycerol gradient determination indicates the following M_r for the native proteins: 25×10³, 40×10³, 50×10³ and 65×10³ for m⁷G-, mt⁶A-, m¹G- and m⁵U-forming enzymes, respectively. A complete analysis of methylated nucleosides formedin vivo inS. typhimurium has been obtained: it also allowed us to infer the pattern of the various tRNA methyltransferases for this prokaryote. The tRNA methyltransferase forming mt⁶A has been isolated for the first time from any type of cell.     

Net primary productivity estimation and its relationship with tree diversity for tropical dry deciduous forests of central India

Present study aims at estimation and validation of net primary productivity (NPP) using production efficiency model (PEM), and its possible relationship with tree diversity. The PEM estimates NPP, based on light use efficiency (LUE) and intercepted photosynthetically active radiation (IPAR). Weighted average LUE varied between 0.02 gC/μmol/m² of PAR (Mixed forest (miscellaneous)) to 0.08 gC/μmol/m² of PAR (Acacia forest), in growing phase (GP), and 0.0008 gC/μmol/m² of PAR (Boswellia mixed forest) to 0.023 gC/μmol/m² of PAR (Acacia forest) during the senescent phase (SP). The average weighted LUE for tropical dry and Moist deciduous forest (MDF) in GP were 0.05 gC/μmol/m² of PAR and 0.03 gC/μmol/m² of PAR, respectively. The average IPAR for different forest types was 2079.58 μmol/m²/s during GP and 1510.58 μmol/m²/s during SP. The PEM based NPP varied between 0.58–275.78 gC/m²/year during GP and 0.43–74.34 gC/m²/year during SP. The PEM based NPP and conventional (ground based) NPP were related with R ² of 0.55. The tree diversity and NPP relationship was observed with R ² of 0.55 at the level of both plot and forest types.     

Efficiency of inventory plot patterns for the estimation of woody vegetation recruit density in a tropical dense forest in Bénin

This study assessed the effectiveness of plot patterns for estimating recruit density of woody species in the dense forest of Lama Reserve (Bénin). The experimental design consisted of thirty 0.04 ha plots randomly settled in the forest and each subdivided into four hundred 1‐m² quadrats. Within each quadrat, recruits (dbh ≤10 cm) were counted and saplings (h ≥ 2 m and 2 cm ≤ dbh < 7 cm) and young trees (h ≥ 2 m and 7 cm ≤ dbh < 10 cm) were measured in dbh. In each 0.04 ha plot, seven different plot shapes and sizes were considered by grouping adjacent 1‐m² quadrats. Relationship between mean square error of the estimation of the density of recruitments and the plot sizes was modelled using the Smith law. Results obtained showed an average value of density of recruitments of 10.7 plants/m² with Green index value of 0.01. Shape and size of plots highly influenced the estimation of the density of recruitments. Rectangular plots of length/width = 2 and size of 72 m² (12 m × 6 m) were most efficient for the estimation of the density of recruitments in tropical dense forest with standard error of 0.79 plants/m².     

Mating system parameters and population genetic structure in pioneer populations of Prosopis velutina (Leguminosae)

This study describes the genetic structure and provides estimates of mating system parameters in three natural populations of Prosopis velutina Woot. in southeastern Arizona. F statistics derived from isozyme data revealed the presence of both interpopulation and intrapopulation genetic differentiation. This population structure is discussed in relation to the ecological history of these populations that invaded the grasslands sites from adjacent riparian areas within the last 90 years, and possible modes of seed dispersal. The multilocus estimation program MLT of Ritland (Journal of Heredity 8: 235–237, 1990) was used to provide estimates of t_s, t_m, and the fixation index (F) of the maternal parents. Average estimates of t_s ranged from 0.591 to 0.912. Estimates of t_m ranged from 0.609 to 1.004, and averaged 0.758. The difference between t_m and t_s, which provides a measure of biparental inbreeding, averaged 0.058. This last result, together with significant heterogeneity found in pollen allele frequencies, suggests that a family structure has developed in the populations. A negative F value for one of the populations suggests selection against homozygotes between the seedling stage and maturity.     

Anaerobic degradation of p-cresol in batch and continuous cultures by a denitrifying bacterial consortium

Summary The anaerobic degradation of p-cresol under denitrifying conditions by a bacterial consortium was studied in batch and continuous cultures. Concentrations up to 3 mm were degraded within 5–6 days with 4-hydroxybenzyl alcohol, 4-hydroxybenzaldehyde and 4-hydroxybenzoate as intermediates. Steady states could be maintained at only one dilution rate, D=0.04 h^–1. A further increase in the dilution rate to 0.0 8 h^–1 resulted in culture wash-out. An estimation of the Saturation constant was made (<1 mg/l), taking the maximum specific growth rate as 0.045 h^–1, thus yielding a value of 0.125 mg p-cresol/l. Correspondence to: N. Khoury     

Variable mesophyll conductance revisited: theoretical background and experimental implications

The CO₂ concentration at the site of carboxylation inside the chloroplast stroma depends not only on the stomatal conductance, but also on the conductance of CO₂ between substomatal cavities and the site of CO₂ fixation. This conductance, commonly termed mesophyll conductance (g_m), significantly constrains the rate of photosynthesis. Here we show that estimates of g_m are influenced by the amount of respiratory and photorespiratory CO₂ from the mitochondria diffusing towards the chloroplasts. This results in an apparent CO₂ and oxygen sensitivity of g_m that does not imply a change in intrinsic diffusion properties of the mesophyll, but depends on the ratio of mitochondrial CO₂ release to chloroplast CO₂ uptake. We show that this effect (1) can bias the estimation of the CO₂ photocompensation point and non‐photorespiratory respiration in the light; (2) can affect the estimates of ribulose 1·5‐bisphosphate carboxylase/oxygenase (Rubisco) kinetic constants in vivo; and (3) results in an apparent obligatory correlation between stomatal conductance and g_m. We further show that the amount of photo(respiratory) CO₂ that is refixed by Rubisco can be directly estimated through measurements of g_m.     

Estimating specific inherent optical properties of tropical coastal waters using bio-optical model inversion and in situ measurements: case of the Berau estuary,East Kalimantan,Indonesia

Specific inherent optical properties (SIOP) of the Berau coastal waters were derived from in situ measurements and inversion of an ocean color model. Field measurements of water-leaving reflectance, total suspended matter (TSM), and chlorophyll a (Chl a) concentrations were carried out during the 2007 dry season. The highest values for SIOP were found in the turbid waters, decreasing in value when moving toward offshore waters. The specific backscattering coefficient of TSM varied by an order of magnitude and ranged from 0.003 m² g⁻¹, for clear open ocean waters, to 0.020 m² g⁻¹, for turbid waters. On the other hand, the specific absorption coefficient of Chl a was relatively constant over the whole study area and ranged from 0.022 m² mg⁻¹, for the turbid shallow estuary waters, to 0.027 m² mg⁻¹, for deeper shelf edge ocean waters. The spectral slope of colored dissolved organic matter light absorption was also derived with values ranging from 0.015 to 0.011 nm⁻¹. These original derived values of SIOP in the Berau estuary form a corner stone for future estimation of TSM and Chl a concentration from remote sensing data in tropical equatorial waters.     

Carbonate standing stock and carbonate production of the bryozoanPentapora fascialis in the North-Western Mediterranean

Summary Pentapora fascialis, one of the largest living bryozoan, is often a predominant part of the benthos on hard subtidal bottoms in the Mediterranean Sea. Conversion factors calculated from laboratory measurements of colony size, biomass and skeleton weight, combined with density of colonies and mean annual growth rate allowed the estimation of carbonate standing stock, biomass and carbonate production ofPentapora fascialis in five sites in the Ligurian Sea. Carbonate standing stock ranged from 281 to 2490 g·m⁻², colony biomass varied from 8.82 to 78.01 g·m⁻², with a ratio biomass to carbonate standing stock of about 3%. Carbonate production of the bryozoan ranged in the five sites from 358 to 1214 g·m⁻²·y⁻¹. If compared with the few data available on carbonate production of bryozoans and other sublittoral benthic bioconstructors in the temperate regions,Pentapora fascialis has to be considered one of the major contributors to the carbonatebudget.     

Predicting the grass pollen count from meteorological data with regard to estimating the severity of hayfever symptoms in Melbourne (Australia)

In Melbourne, Australia, grass pollen is the predominant cause of hayfever in late spring and summer. The grass pollen season has been monitored in Melbourne, using a Burkard spore trap, for 13 years (1975–1981, 1985 and 1991–1997). Total counts for grass pollen were highly variable from one season to the next (approximately 1000 to >8000 grains/m³). The daily grass pollen counts also showed a high variability (0 to approximately 400 grains/m³). In this study, the grass pollen counts of the 13 years (12 grass pollen seasons, extending from October to January) have been compared with meteorological data in order to identify the conditions that can determine the daily amounts of grass pollen in the air. It was found that the seasonal total of grass pollen was directly correlated with the rainfall sum of the preceding 12 months (1 September–31 August): seasonal total of grass pollen (counts/m³)=18.161 × rainfall sum of the preceding 12 months (mm) −8541.5 (r _s=0.74,P<0.005,n=12). The daily amounts of grass pollen in the air were positively correlated with the corresponding daily average ambient temperatures (P<0.001). The daily amount of grass pollen which was to be expected with a certain daily average temperature was linked to the seasonal total of grass pollen: in years with high total grass pollen counts, a lower daily average temperature was required for a high daily pollen count than in years with low total grass pollen counts. As the concentration of airborne grass pollen determines the severity of hayfever in sensitive patients, an estimation of daily grass pollen counts can provide an indication of potential pollinosis symptoms. We compared daily grass pollen counts with the reported symptomatic responses of hayfever sufferers in November 1985 and found that hayfever symptoms were significantly correlated to the grass pollen counts (P<0.001 for nasal,P<0.005 for eye symptoms). Thus, a combination of meteorological information (i.e. rainfall and temperature) allows for an estimation of the potential daily pollinosis symptoms during the grass pollen season. Here we propose a symptom estimation chart, allowing a quick prediction of eye and nasal symptoms that are likely to occur as a result of variations in meteorological conditions, thus enabling both physicians and patients to take appropriate avoidance measures or therapy.