Predicting environmental soil phosphorus limits for dissolved reactive phosphorus loss

The dependence of runoff dissolved reactive phosphorus (DRP) loss on soil test P or rapid estimations of degree of P saturation (DPS) often varies with soil types. It is not clear whether the soil‐specific nature of runoff DRP versus DPS is due to the different sorption characteristics of individual soils or the inability of these rapid DPS estimates to accurately reflect the actual soil P saturation status. This study aimed to assess environmental measures of soil P that could serve as reliable predictors of runoff DRP concentration by using soils collected from Ontario, Canada, that cover a range of chemical and physical properties. A P sorption study was conducted using the Langmuir equation  to describe amount of P sorbed or desorbed by the soil (Q_s, mg/kg) versus equilibrium P concentration (C, mg/L) in solution, where Q_max is P sorption maximum (mg/kg), k represents P sorption strength (L/mg), and Q₀ (mg/kg) is the P sorbed to soil prior to analysis. Runoff DRP concentration increased linearly with increasing DPS_sorp (i.e. the ratio of (Q₀ + Q_D)/Q_max) following a common slope value amongst soil types, while the P buffering capacity (PBC₀) at C = C₀ yielded a common change point, below which runoff DRP concentration decreased greatly with increasing PBC₀ compared to that above the change point, where C₀ and Q_D represent the equilibrium P concentration and amount of P desorbed, respectively. Both DPS_sorp and PBC₀ showed great promises as indicators of runoff DRP concentration.     

中国太湖环境土壤磷测试与磷释放

A microtiter plate assay (MPA) for soluble reactive phosphorus (SRP) was applied to samples in overlying water and pore water as well as in three forms of environmental soil test phosphorus (P) types: water soluble phosphorus (WSP), diluted calcium chloride extractable phosphorus (PCaCl2), and Olsen-P in the sediments of Taihu Lake, China, where potential P release in response to pH was analyzed. MPA for rapid P analysis was shown to be promising when applied on samples of natural water and sediment extracts. Concentrations of WSP and PCaCl2 in the sediments were much lower than those of Olsen-P. Olsen-P levels in the littoral sediments along the north coast of Meiliang Bay in Taihu Lake (80 to 140 mg kg^-1) were much higher than those in the mouth of the bay (less than 50 mg kg^-1). The risk of P release in the mouth area of Meiliang Bay was lower than that in the north littoral zone with a risk of sediment P release induced by pH increases.     

同位素动力学方法评价中国亚热带地区主要酸性土壤磷状况及生物有效性的适用性

A ^32P isotope kinetic approach was used to describe the chemical status and bioavailability of phosphorus in 32 acidic soils from subtropical China.By determining the residual radoactivity,rt,in soil solution at different time,t,after introduction of the isotope in an amount of R into the steady soil-water system,a well-defined isotope kinetic model was established,and upon this model the decrease rate ,n,of log(rt/R) with respect to logt,the mean sojourn time of phosphate ions in solution,the mean exchange rate and the mean flux of phosphate ions between soil solid and solution phases were calculated.Other parameters,such as the exchangeable P within the first minute of isotope exchange(E1),and P in various compartments that could be exchanged with solution phosphte ions at different perods of time,were also obtained.For these acidic soils,the r1/R had a significant correlation with the contents of clay and free Al2O3 where r1 is the radioactivity in solution 1 minute after introduction of the isotope into the system.Parameter n also had a significant correlation with clay content and a neagtive correlation with soil pH,E1 values and Cp,the P concentration in soil solution,also Significantly correlated with clay and sesquioxide contents of the soils.these indicated that these isotope kinetic parameters were largely influenced by P-fixing components of the soils.For the soils with strong P-fixing ability,the E1 values overestimated labile P pools and hence their correlations with A values and plant P uptake were not significant .The other iostope kinetic parameters also had no significant correlation with plant P uptak.On the other hand,the convetional chemical-extracted p correlated better with plant P uptake .It was concluded that the iostope kinetic method could assess the p chemical status yet it would inappropriate in predicting plant available P for soils with a high P-fixing ability as the problem of an overestimation of soil lable P in these soils was inevitable.     

玉米秸秆还田及施磷量对黑土磷吸附与解吸特性的影响

以探究松嫩平原玉米连作条件下,秸秆还田与施磷量互作对黑土磷吸附与解吸特性的影响为目的。该试验采取二因素裂区试验设计,主因素为玉米秸秆还田方式,分别为秸秆不还田(S0)、秸秆翻埋还田(S1)和秸秆焚烧还田(S2);副因素为施磷水平,分别为0(P0)、34.50(P1)、69(P2)、103.50(P3)kg/hm~2(P_2O_5)。结果表明:1)Langmuir等温吸附方程最适合拟合黑土对磷的吸附特征。2)秸秆还田与施磷量均显著影响黑土对磷的吸附与解吸特性,且两者互作效应显著。在相同秸秆还田方式下,随着施磷量的增加,土壤对磷的吸附能力均逐渐降低,而土壤中磷的解吸量和解吸率均逐渐增加,其中以S0条件下差异最大,S2条件下次之,S1条件下差异最小。在相同施磷水平下,与S0处理相比,S1和S2均能降低土壤对磷的吸附能力,增加土壤中磷的解吸量和解吸率,其中以不施磷肥(P0)处理下差异最大,而在施高磷(P3)处理下差异不显著,此外,S1与S2在各施磷水平下差异均不显著。3)不同施磷处理下的标准需磷量(standardPrequirement,SPR)为71.02～91.67 kg/hm~2,其中以S1P2处理的SPR(73.58 kg/hm~2)与P2施磷水平(69 kg/hm~2)最相近,是松嫩平原黑土区较为适宜的施磷方式。     

Introduction of composted rock phosphate and poultry manure enhances winter wheat phosphorus use efficiency,grain yield and soil quality

This field study evaluates the integrated impact of poultry manure (PM), rock phosphate (RP), composted rock phosphate (CRP) and single super phosphate (SSP) on the growth, yield, and phosphorus use efficiency (PUE) of winter wheat and their effect on postharvest soil characteristics. The seven treatments were as follows: T₁ = control; T₂ = SSP full; T₃ = PM full; T₄ = RP full; T₅ = CRP full; T₆ = 50% SSP + 50% CRP (50:50); T₇ = 50% PM + 50% CRP (50:50) at a recommended P rate of 90 kg ha^?1. The combined treatment with PM + CRP produced the highest straw yield of 3582 kg ha^?1, grain yield of 2226 kg ha^?1, P uptake of 21.3 kg ha^?1, and PUE of 18%. The postharvest soil organic carbon, total nitrogen and soil available phosphorus were sig-nificantly higher in integrated treatments.     

Short-term phosphorus sorption and desorption in contrasting cropped Vertisols

Vertisols are important cropping soils in tropical and subtropical areas, but in many regions, decades of cropping has substantially reduced concentrations of plant-available phosphorus (P), especially in the subsoil layers. Phosphorus behaviour in P-depleted Vertisols has received comparatively little attention, and the availability of P following the addition of inorganic P fertilisers at different concentrations is poorly understood. In this study, we evaluated short-term P sorption and desorption behaviour in cropped Vertisols in relation to specific soil physical and chemical properties. We collected the surface and subsurface of 15 Australian soils with a broad range of physical and chemical properties, comprising nine Vertisols, three Ferralsols, two Lixisols and one Calcisol. For each soil, we generated sorption and desorption curves (fitted with a Freundlich equation), determined soil physical and chemical properties likely to influence P sorption and evaluated the relationships between the measured soil properties and the Freundlich equation sorption coefficients. The P sorption curves differed drastically between soils, with the sorption equation coefficients (a_S × b) significantly correlated with the P buffering index (PBI) and clay content. Clay content itself was correlated with citrate-extractable Fe and Al oxides and BET surface area. Vertisols formed on basaltic parent materials had greater Fe and Al oxide concentrations, resulting in an overall greater P sorption capacity. Sorption and desorption hysteresis were mostly small. The reacting materials in these soils probably had limited ability to continue to react with P. The Vertisols differed in their capacity to replenish P in the soil solution by desorbing different proportions of previously sorbed P, although the proportion of desorbable P generally increased with greater concentrations of sorbed P. These results suggest that for fertiliser management in these soils, smaller volumes of P enrichment combined with higher P concentrations may result in a greater P recovery by the crop.     

不同磷水平下小麦蚕豆间作对根际有效磷及磷吸收的影响

【目的】探明不同磷水平下小麦–蚕豆间作对根际有效磷含量及作物磷吸收量的影响,提高磷肥利用率。【方法】2015—2016和2016—2017两季田间试验在云南农业大学试验基地耕作红壤上进行,供试小麦品种为云麦-52,蚕豆品种为玉溪大粒豆。设施P2O5 0 (P0)、45 (P45)和90 kg/hm^2 (P90)三个水平,和单作(M,包括小麦单作MW和蚕豆单作MF)和间作(I)两种种植模式。每季在小麦分蘖期、拔节期、抽穗期、灌浆期和成熟期,蚕豆分枝期、开花期、结荚期、籽粒膨大期、收获期采取根际土样测定有效磷含量。在小麦蚕豆收获期测定单、间作小麦、蚕豆产量,并测定作物地上部磷含量。计算土地当量比(LER)来衡量间作优势,并用磷肥农学利用率来反映磷肥的吸收效率。【结果】与单作相比,在P0、P45、P90水平下,2016年间作种植显著提高了小麦籽粒产量12.5%、21.7%和17.3%,2017年间作蚕豆产量较单作分别降低了16.8%、11.7%和8.2%。三个磷水平下,小麦–蚕豆间作具有产量优势,土地当量比(LER)为0.95~1.18。与常规施磷水平(P90)下的单作相比,小麦–蚕豆间作条件下,磷肥减施1/2 (P45)并未降低小麦和蚕豆产量。间作种植对小麦根际有效磷含量无显著影响(除2016年成熟期外),但2017年,在蚕豆分枝期、开花期、结荚期,间作则分别降低蚕豆根际有效磷含量20.8%、44.5%和18%。与P90单作相比,间作P45处理几乎不会降低小麦、蚕豆根际有效磷含量。小麦、蚕豆磷吸收量主要受磷水平的调控,种植模式对小麦和蚕豆磷的吸收量及磷肥农学利用率均没有影响。【结论】在本试验条件下,小麦–蚕豆间作提高了小麦籽粒产量,降低了蚕豆产量;间作种植主要是改变了蚕豆生育前期根际有效磷含量,但对作物的磷吸收量没有影响。小麦–蚕豆间作具有减施磷肥、维持作物产量和根际土壤有效磷的潜力。     

磷肥和有机肥对不同磷水平土壤磷吸附-解吸的影响

采用培养试验结合Langmuir吸附等温方程进行拟合求出吸附、解吸的相关参数的方法,研究了磷肥和有机肥对不同磷水平土壤磷吸附和解吸特性的影响。结果表明,随土壤磷水平和磷肥和有机肥用量的增加,土壤最大吸磷量、土壤磷最大缓冲能力显著降低;土壤易解吸磷和土壤磷的解吸率显著增加。土壤易解吸磷和土壤磷的解吸率与土壤Olsen-P呈显著正相关;土壤最大吸磷量、土壤磷最大缓冲容量与土壤Olsen-P呈显著负相关。单位量磷肥所增加的土壤易解吸磷随着磷肥用量和土壤磷水平的增加而增大;土壤磷水平和磷用量是影响土壤磷最大吸磷量和土壤磷最大缓冲能力的重要因素。     

The effect of soil type on phosphorus sorption capacity and desorption dynamics in Irish grassland soils

Abstract. The phosphorus (P) sorption and desorption dynamics of eleven major agricultural grassland soil types in Ireland were examined using laboratory techniques, so that soils vulnerable to P loss might be identified. Desorption of P from soil using the iron-oxide paper strip test (Pfeo), water extractable P (Pw) and calcium chloride extractable P (Pcacl₂) depended on soil P status in all soils. However, soil types with high organic matter levels (OM), namely peat soils (%OM >30), had lower Pfeo and Pw but higher Pcacl₂ values compared to mineral soils at similar soil test P levels. Phosphorus sorption capacity remaining (PSCr) was measured using a single addition of P to soils and used to calculate total P sorption capacities (PSCt) and degree of P saturation (DPS). Phosphorus sorption capacities correlated negatively with % OM in soils indicating that OM may inhibit P sorption from solution to soil. High organic matter soils exhibited low P sorption capacities and poor P reserves (total P, oxalate extractable P) compared to mineral soils. Low P sorption capacities (PSCt) in peat soils were attributed to OM, which blocked or eliminated sorption sites with organic acids, therefore, P remained in the soil solution phase (Pcacl₂). In this work, peat and high organic matter soils exhibited P sorption and desorption characteristics which suggest that these soils may not be suitable for heavy applications of manure or fertilizer P owing to their low capacities for P sorption and storage.     

Effect of long‐term fertilization on the transformations of water‐extractable phosphorus in a fluvo‐aquic soil

Improved information on water‐extractable soil P (P_w) and its distribution in various forms is needed to assess its bioavailability and environmental impact. This study investigated P_w in a fluvo‐aquic soil solution in relation to the continuous application of inorganic fertilizer (NPK) and wheat straw–soybean‐based compost for 15 y. Phosphatase‐hydrolysis techniques were used to fractionate organic P (P_o) in water extracts of soil into phosphomonoester (P_om) and phosphodiester (P_od). In comparison with the noncomposted treatments, compost application significantly increased the levels of inorganic P (P_i) and P_o. P_om was the main form in water‐extractable soil P_o (71%–88%), in which sugar phosphate (P_os) occupied 48%–75%, inositol hexakisphosphate (P_op) comprised 13%–23%, and P_od only accounted for a small percentage (11%–26%). Long‐term compost application significantly increased the content of P_om, P_os, and P_od, but decreased the P_op content; the ratio of P_om to P_o increased significantly in compost‐treated soil, but the ratio of P_op to P_o and P_od to P_o significantly decreased. Thus, the equilibrium of phosphatase involved P transformations shifted to P_i in compost‐treated soil. The phosphomonoesterase and phosphodiesterase activities were significantly higher in compost‐treated soil, which favored the transformations of P_od into P_om and P_om into P_i. The ratio of P_o to P_w in water extracts of compost‐treated soil was similar to that of control soils with no fertilizer input (CK), but was significantly lower than in NPK treatment, which demonstrated that a larger increase occurred for soil P_i in water extracts of compost‐treated soil. Long‐term compost application in the fluvo‐aquic soil changed the composition of P_w, promoted the rate of P transformations in soil solution, and significantly increased soil P bioavailability.     

长期施肥条件下石灰性潮土磷的吸附解吸特征

采用Langmuir方程、Freundlich方程及其扩展形式对长期施肥土壤磷的吸附和解吸特征进行了研究。结果表明,双面Langmuir方程和三种Freundlich方程能较好描述石灰性潮土壤对磷的吸附,方程决定系数r2均接近0.99。长期施用有机肥能减少土壤对磷的吸附,表现在土壤对磷的理论最大吸附量（Qm）降低以及吸附结合能常数K值下降。与长期施用化肥相比,长期施用有机肥土壤新吸附的磷也更容易解吸,土壤磷的解吸率从化肥处理的15%左右提高到20%以上。钾肥的施用增大了石灰性潮土对磷的吸附容量,磷的吸附结合能明显提高,意味着化肥钾的施用可能导致土壤磷向作物难利用方向转化,但有机肥与钾肥配合施用,钾肥的这种不良作用得到明显的改善。     

长期不同施肥下潮土磷素演变特征及其对磷盈亏的响应

以"国家潮土土壤肥力与肥料效益长期监测站"的定位试验为平台,选取试验中的5个处理,即1)NK(不施磷肥);2)NPK(施氮磷钾化肥);3)MNPK(NPK化肥+有机肥);4)1.SMNPK(MNPK处理施肥量的1.5倍);5)SNPK(NPK化肥+秸秆还田),分析不同施肥下土壤全磷(TP)和有效磷(Olsen-P)的演...     

Sorption and desorption of phosphate on biochar and biochar–soil mixtures

The term biochar refers to materials with diverse chemical, physical and physicochemical characteristics that have potential as a soil amendment. The purpose of this study was to investigate the P sorption/desorption properties of various slow biochars and one fast pyrolysis biochar and to determine how a fast pyrolysis biochar influences these properties in a degraded tropical soil. The fast pyrolysis biochar was a mixture of three separate biochars: sawdust, elephant grass and sugar cane leaves. Three other biochars were made by slow pyrolysis from three Amazonian tree species (Lacre, Ingá and Embaúba) at three temperatures of formation (400 °C, 500 °C, 600 °C). Inorganic P was added to develop sorption curves and then desorbed to develop desorption curves for all biochar situations. For the slow pyrolysis, the 600 ºC biochar had a reduced capacity to sorb P (4–10 times less) relative to those biochars formed at 400 °C and 500 °C. Conversely, biochar from Ingá desorbed the most P. The fast pyrolysis biochar, when mixed with degraded tropical mineral soil, decreased the soil's P sorption capacity by 55% presumably because of the high soluble, inorganic P prevalent in this biochar (909 mg P/kg of biochar). Phosphorus desorption from the fast pyrolysis biochar/soil mixture not only exhibited a common desorption curve but also buffered the soil solution at a value of ca. 0.2 mg/L. This study shows the diversity in P chemistry that can be expected when biochar is a soil amendment and suggests the potential to develop biochars with properties to meet specific objectives.     

长期不同施肥对黄壤磷素吸附–解吸特性的影响

[目的]磷吸附–解吸特性对土壤磷素有效性和环境流失风险有重要影响.研究长期不同施肥对黄壤旱地磷吸附–解吸特性的影响,可为黄壤区合理施用磷肥提供理论依据.[方法]供试黄壤肥力长期定位试验位于贵阳,始于1995年.设有对照(CK)、施氮钾肥(NK)、施氮磷钾肥(NPK)、单施有机肥(M)和有机肥化肥配施(MNPK)5个处理...     

长期施肥对白浆土磷吸附与解吸的影响

对白浆土在长期施肥条件下磷的吸附与解吸进行了研究。试验结果表明，供试白浆土磷的等温吸附曲线符合langmuir方程，在低磷浓度下其吸磷能力较强，随着磷浓度的增大，吸磷能力减弱。在不同施肥处理中，CK处理的最大吸附量（Xm）最大，OM处理最小，各处理吸附常数（K）值变化较小，均在0．2左右，而Xm变化较大；不同施肥处理总的解吸趋势是一致的，即解吸量随着浓度的增加而增加，而后逐步趋于平稳。施有机肥的处理土壤吸附磷能力降低，但解吸磷能力增强；长期不施肥土壤固磷能力增强。     

有机酸对合成磷源施入石灰性潮土后速效磷动态变化的影响

以郑州市石灰性潮土为材料，加入不同磷源和不同有机酸进行培养，培养周期内测定速效磷含量，研究草酸、柠檬酸、苹果酸、酒石酸、腐殖酸5种有机酸对合成磷源施入石灰性潮土后速效磷动态变化的影响。结果表明，不同合成磷源施入土壤中都会使土壤中速效磷含量增加，而后随时间的推移，速效磷含量迅速下降，大约30～45d后趋于稳定；供试有机酸能明显减弱速效磷含量随时间而降低的趋势，使得土壤速效磷含量在较长的一段时间内保持较高的水平；有机酸对石灰性潮土速效磷动态变化影响能力因有机酸种类和性质的不同而不同，其作用能力大小顺序为草酸，腐殖酸〉柠檬酸，苹果酸〉酒石酸。     

长期施肥对塿土磷素状况的影响

利用塿土12年长期肥料定位试验,研究了不同施肥方式对耕层土壤全磷(TP)、有机磷(OP)与有效磷（Olsen-P）的影响。结果表明,施用化学磷肥提高了耕层土壤TP、Olsen-P含量,但并未提高OP含量;对照与磷钾处理的OP含量有降低趋势。当基于含氮量施有机肥时,土壤TP和Olsen-P含量大幅度提高,也提高了OP含量,但OP/TP比率在降低到一定程度后维持在一个较为稳定的水平;即使施用有机肥的处理,磷素也主要以无机形态累积。土壤Olsen-P与TP或两者的增加量都呈显著的线性相关,塿土TP每提高100 mg/kg,Olsen-P增加量约为20.8 mg/kg,且单位土壤全磷增加带来的Olsen-P增加有随施肥时间降低的趋势。在土壤Olsen-P含量达到一定水平时应考虑减少磷肥用量。基于有机肥中磷素含量来推荐有机肥施用或延长其施用的时间间隔,将有助于减少由于有机肥施用带来的磷素大量快速累积。     

Larger bioavailability of soil phosphorus for irrigated rice compared with rainfed rice in Madagascar: results from a soil and plant survey

Irrigated rice is less prone generally to phosphorus (P) deficiency than rainfed rice because redox reactions release P upon soil flooding. It is not known whether that is also true in highly weathered soils of Madagascar where the combination of high soil Fe and low P input may impede significant release of P. Soils and flag leaf samples were collected in 2010 in 38 irrigated rice and 46 rainfed rice fields belonging to private farmers. A critical flag leaf P content was derived from a P‐dosed pot trial study with three soils, and the results suggested 2.4 g P/kg as the critical value. Average flag leaf P was significantly larger in irrigated than in rainfed rice (2.2 compared with 1.7 g P/kg), and flag leaf P was below the critical value in 76% of irrigated rice fields while this fraction was 100% in rainfed rice. Nitrogen and K deficiencies were less prevalent. Flag leaf P increased with increasing soil pH and soil pH explained partially differences in leaf P between irrigated and rainfed rice. Flag leaf P was unrelated to soil organic matter, but increased with oxalate‐extractable soil P (P_o). Multiple regression analysis revealed greater leaf P at equal soil P_o and equal pH in irrigated compared with rainfed rice. Grain yield estimates (1‐m² squares) increased with flag leaf P but not with leaf N and K. In a regression model, about 42 % of the yield variance was explained with soil P_o and a rice‐growing system. The survey suggests that P is the main limiting nutrient for rice, and that soil P bioavailability is larger for irrigated than for rainfed rice in weathered soils of Madagascar.     

The potential for soil phosphorus tests to predict phosphorus losses in overland flow

Soil phosphorus tests offer a potentially powerful tool for land managers trying to predict the areas which will contribute diffuse losses of phosphorus (P) to surface water bodies through the overland flow vector – but do they work? We address this question at a range of scales, from patch (< 1 m²), through plot (several m²) to small watershed (several hectares). Our hypothesis is that as we increase the scale, and therefore the complexity of the system, soil P tests will predict P concentrations and losses associated with overland flow less well, and that this is partly due to a shift from dissolved P losses to P losses associated with eroded soil material. At the patch scale soil P tests were used to predict the P concentration and load from 24 European soils exposed to simulated rainfall under controlled conditions in the laboratory. Results showed that soil P tests were generally good predictors of reactive P <0.45 μm, but did less well at predicting total P > 0.45 μm. By combining the soil P test with measured sediment concentrations predictions of total P concentrations improved. Outdoor rainfall simulation experiments on bare soil plots (10 m²) revealed the overwhelming influence of particle bound P losses compared with P losses in the water phase. Soil P tests, which relate primarily to the dissolved P fractions in soil, were not able to predict total P losses, but were related to reactive P < 0.45 μm losses. At the watershed scale soil P tests were able to predict reactive P < 0.45 μm losses, but with considerable uncertainty. We conclude that soil P tests, in combination with sediment concentration provide a useful means of assessing the mobilization of P in overland flow, but should not be expected to provide watershed scale predictions of the movement of P into overland flow.     

Effect of phosphate fertilization on crop yield and soil phosphorus status

To evaluate the effect of three phosphorus (P) fertilization regimes (no P, P input equivalent to P off‐take by crops, P input higher than P off‐take) on crop yield, P uptake, and soil P availability, seven field experiments (six in crop rotations, one under permanent grassland) were conducted in Switzerland during nine years (six trials) or 27 years (one trial). Soil total P (Pt), inorganic P (Pi), organic P (Po), and the amount of isotopically exchangeable soil P were measured in the 0–20 cm and 30–50 cm layers of the arable soils and in the 0–10 cm layer of the permanent grassland soil. Omitting P fertilization resulted in significant yield decreases only in one field crop trial as the amount of P isotopically exchangeable within one minute (E_1min) reached values lower than 5 mg P (kg soil)^–1. In the absence of P fertilization Pi decreased on average from 470 to 410 mg P (kg soil)^–1 in the upper horizon of 6 sites while Po decreased only at two sites (from 510 to 466 mg P (kg soil)^–1 on average). In all the treatments of the trials started in 1989 the E_1min values of the upper horizon decreased on average from 15.6 to 7.4 mg P (kg soil)^–1 between 1989 and 1998. These decreases were also observed when P inputs were higher than crops needs, showing that in these soils the highest P inputs were not sufficient to maintain the high initial available P levels. Finally for the six arable trials the values of the isotopic exchange kinetics parameters (R/r₁, n, C_P) and P exchangeable within 1 minute (E_1min) at the end of the experiment could be estimated from the values measured at the beginning of trial and the cumulated P balance.