Inflammation and oxygen free radical formation during pulmonary ischemia-reperfusion injury.

In a companion study, we showed that 2 h of warm unilateral lung ischemia followed by reperfusion resulted in bilateral tissue injury, indicated by increases in extravascular density (EVD) and permeability, measured as the pulmonary transcapillary escape rate (PTCER) for radiolabeled transferrin. EVD and PTCER measurements were obtained with the quantitative imaging technique of positron emission tomography (PET). In the current study, we evaluated this increase in EVD histologically and correlated EVD and PTCER with measurements of oxidant-reactive sulfhydryls (RSH) in plasma as a marker of oxygen free radical (OFR) formation. Histologically edema, leukocyte infiltration, and hemorrhage were all present on the ischemic side, but only after reperfusion, whereas only neutrophil infiltration was observed on the nonischemic side. Histology scores correlated with EVD (r = 0.81) and PTCER (r = 0.75), but permeability was abnormal at times even in the absence of neutrophil infiltration. Plasma RSH concentration from the ischemic lung decreased significantly (P less than 0.05) during pulmonary ischemia (i.e., before reperfusion) and returned to baseline on reperfusion. The degree of RSH oxidation did not correlate with the severity of injury as measured by PET or histology. Thus pulmonary ischemia-reperfusion injury is characterized by inflammation, hemorrhage, edema, and OFR formation. Injury occurred after reperfusion, not after ischemia alone. In addition, injury to the contralateral nonischemic lung suggests a neutrophil-independent circulating mediator of injury.     

Gallium-transferrin as a macromolecular tracer of vascular permeability

Labeling of plasma transferrin with gallium was investigated to determine whether the gallium-transferrin complex could be effectively used as a macromolecular tracer in studies of capillary permeability using Positron Emission Tomography (PET). Three gallium-plasma preparations were tested and 2 h bio-distribution studies were performed in rats. The three preparations gave similar blood clearance and tissue distribution data, but the methods used for evaluating gallium-transferrin binding were found to be suboptimal. Gallium clearance from blood was biexponential with both components faster than that of ¹²⁵I-albumin. Gallium distribution spaces in all tissues including intracerebral Walker-256 tumors were larger than those of albumin. These results indicate a relative instability of the gallium-transferrin complex in vivo, which appears to preclude its use as an acceptable radiolabeled protein for vascular permeability studies using PET.     

Modeling flux of free and protein-bound radioisotopes into the pulmonary interstitium

Several groups of investigators are using external detection of radiolabeled protein to study the flux of protein from plasma into the pulmonary interstitium. A basic assumption for these studies has been that the unbound (free) tracer concentration is small and insignificant. The purpose of this study is to evaluate how free tracer influences the determination of normalized slope index. A five-compartment model for the lung was used with transport equations for both unbound and bound nuclide flux. Parameters of the unbound and bound transport equations were varied to evaluate the sensitivity of normalized slope index to each parameter. The model was also compared with published protein flux data to investigate the validity of the transport model. Application of the model to external scan data provides a sensitive method for evaluating the flux of bound and unbound tracers into the pulmonary interstitium. We conclude that because the distribution volume for unbound tracer is large with respect to protein distribution volume, even a small amount of unbound tracer (2-5%) can create large errors in the determination of normalized slope index.     

A positron emission tomographic comparison of diffuse and lobar oleic acid lung injury

We tested whether severity of injury measured from the pulmonary transcapillary escape rate for transferrin (PTCER), lung water accumulation, and changes in regional pulmonary blood flow (PBF) would be similar after oleic acid (OA) injection into either all lung lobes or directly into the pulmonary artery feeding the left caudal lobe (LCL) only. Measurements were made with positron emission tomography. After 0.015 ml/kg OA was injected into the LCL (Lobar, n = 5), lung water increased in the left dorsal region from 37 +/- 5 to 50 +/- 8 ml/100 ml lung (P less than 0.05), PTCER was 533 +/- 59 10(-4)/min, and regional PBF decreased 62%. No significant change occurred in the uninjured right dorsal lung where PTCER was 85 +/- 32. In the left ventral region PTCER was 357 +/- 60, PBF decreased only 31%, and the increase in lung water was less (25 +/- 3 to 30 +/- 6). In contrast after 0.08 ml/kg OA was injected via the right atrium (Diffuse, n = 6), PTCER (283 +/- 94) was lower in the left dorsal region of this group than in the corresponding region of the Lobar group (P less than 0.05). The increase in lung water, however, was the same, but no change occurred in PBF distribution. These results indicate important differences between the two methods of causing lung injury with OA. After injury lung water accumulates primarily in dependent portions of lung and is not always accompanied by a decrease in regional PBF. These decreases, when they occur, may instead indicate severe vascular injury.     

An analysis of estimation of pulmonary blood flow by the single-breath method

The single-breath method of determining pulmonary blood flow is a simple technique involving no inert gas or special maneuvers such as rebreathing or breath holding. The use of this elegant technique has been limited, however, largely because of questions regarding its accuracy. Previous analyses of the method have indicated that large errors in the estimated blood flow could result if data reduction is not handled carefully. In addition, an uncertain amount of error is introduced, if the CO2 retained by the lung tissue while measurements are being made is not taken into account in the calculations. This paper presents a rigorous approach for estimating the pulmonary blood flow by the single-breath method, which would minimize considerably the effects of measurement errors and would also allow for possible CO2 absorption by the lung tissue. It is based on the exact solution of the underlying equations that describe the dynamics of gas exchange in the lung. The analytic solution provides insight into the difficulties involved in extracting the desired information from the experimental data.     

Metabolite analysis in positron emission tomography studies: examples from food sciences

Summary. Substances of various chemical structures can be labelled with appropriate positron emitting isotopes and applied as tracer compounds in PET examinations. Using dynamic data acquisition protocols, time-activity curves of radioactivity uptake in organs can be derived and the measurements of tissue tracer concentrations can be translated into quantitative values of tissue function. However, analysis of metabolites of these tracers regarding their nature and distribution in the living organism is an essential need for the quantitative analysis of PET measurements. In addition, metabolite analysis contributes to the interpretation of the images obtained as well as to the identification of pathological changes in metabolic pathways. This paper reports on representative examples of radiolabelled compounds which might be of importance in food science (e.g., amino acids, polyphenols, and model compounds for advanced glycation end products (AGEs)). Typical procedures of analysis (radio-HPLC, radio-TLC) including pre-analytical sample preparation are described. Specific challenges of the method, e.g., trace amounts of radiolabelled compounds and the influence of the often very short half-lives of positron-emitting nuclides used are highlighted. Representative results of analyses of plasma, urine, and tissue samples are presented and discussed in terms of the metabolic fate of the tracers.     

Thrombin-induced alterations in lung fluid balance in awake sheep

We examined the effect of fibrinolysis depression on thrombin-induced pulmonary microembolism in awake sheep prepared with chronic lung lymph fistulas. Fibrinolysis was depressed by an intravenous infusion (100 mg) of tranexamic acid [trans-4-(Aminomethyl)cyclohexanecarboxylic acid]. Pulmonary microembolism was induced by an intravenous infusion of alpha-thrombin (80 NIH U/kg) in normal (n = 7) and in tranexamic acid-treated (n = 6) sheep. Thrombin immediately increased pulmonary lymph flow (Qlym) in both groups. The increased Qlym was not associated with a change in the lymph-to-plasma protein concentration (L/P) ratio in the control group and with a small decrease in the tranexamic acid-treated group. The increases in Qlym and pulmonary transvascular protein clearance (Qlym X L/P ratio) in the tranexamic acid-treated group were greater and sustained at four- to fivefold above base line for 10 h after the thrombin and remained elevated at twofold above base line even at 24 h. In contrast, Qlym and protein clearance were transiently increased in the control group. The mean pulmonary arterial pressure (Ppa) and pulmonary vascular resistance (PVR) increased after thrombin in tranexamic acid-treated group; the increases in Ppa and PVR in the control group were transient. Protein reflection coefficient as determined by the filtration independent method decreased after thrombin in tranexamic acid-treated sheep (n = 5), indicating an increased vascular permeability to proteins. We conclude that prolongation of microthrombi retention in the pulmonary circulation results in an increased vascular permeability to proteins. Both increased vascular permeability and vascular hydrostatic pressure are important determinants of the increases in Qlym and transvascular protein clearance after thrombin-induced pulmonary microembolism.     

Elevated intracranial pressure increases pulmonary vascular permeability to protein

The syndrome of neurogenic pulmonary edema raises the question of whether there are neurological influences on pulmonary vascular permeability. Previous experimental models commonly produced severe hemodynamic alterations, complicating the distinction of increased permeability from increased hydrostatic forces in the formation of the pulmonary edema. Accordingly, we employed a milder central nervous system insult and measured the pulmonary vascular protein extravasation rate, which is a sensitive and specific indicator of altered protein permeability. After elevating intracranial pressure via cisternal saline infusion in anesthetized dogs, we used a dual isotope method to measure the protein leak index. This elevated intracranial pressure resulted in a nearly three-fold rise in the protein leak index (54.1 +/- 7.5 vs. 20.2 +/- 0.9). This central nervous system insult was associated with only mild increases in pulmonary arterial pressures and cardiac output. However, when we reproduced these hemodynamic changes with left atrial balloon inflation or isoproterenol infusion, we observed no effect on the protein leak index compared with control. Although the pulmonary arterial wedge pressure with intracranial pressure remained <10 mmHg, increases in the extravascular lung water were demonstrated. The results suggest the existence of neurological influences on pulmonary vascular protein permeability. We conclude that neurological insults result in increase pulmonary vascular permeability to protein and subsequent edema formation, which could not be accounted for by hemodynamic changes alone.     

TNF-alpha increases tyrosine phosphorylation of vascular endothelial cadherin and opens the paracellular pathway through fyn activation in human lung endothelia

Tumor necrosis factor (TNF)-alpha is a key mediator of sepsis-associated multiorgan failure, including the acute respiratory distress syndrome. We examined the role of protein tyrosine phosphorylation in TNF-alpha-induced pulmonary vascular permeability. Postconfluent human lung microvascular and pulmonary artery endothelial cell (EC) monolayers exposed to human recombinant TNF-alpha displayed a dose- and time-dependent increase in transendothelial [(14)C]albumin flux in the absence of EC injury. TNF-alpha also increased tyrosine phosphorylation of EC proteins, and several substrates were identified as the zonula adherens proteins vascular endothelial (VE)-cadherin, and beta-catenin, gamma-catenin, and p120 catenin (p120(ctn)). Prior protein tyrosine kinase (PTK) inhibition protected against the TNF-alpha effect. TNF-alpha activated multiple PTKs, including src family PTKs. Prior PTK inhibition with the src-selective agents PP1 and PP2 each protected against approximately 60% of the TNF-alpha-induced increment in [(14)C]albumin flux. PP2 also blocked TNF-alpha-induced tyrosine phosphorylation of VE-cadherin, gamma-catenin, and p120(ctn). To identify which src family kinase(s) was required for TNF-alpha-induced vascular permeability, small interfering RNA (siRNA) targeting each of the three src family PTKs expressed in human EC, c-src, fyn, and yes, were introduced into the barrier function assay. Only fyn siRNA protected against the TNF-alpha effect, whereas the c-src and yes siRNAs did not. These combined data suggest that TNF-alpha regulates the pulmonary vascular endothelial paracellular pathway, in part, through fyn activation.     

Beta-adrenergic modulation of pulmonary transvascular fluid and protein exchange

We determined in anesthetized sheep whether isoproterenol, a beta-adrenergic agonist, prevents the increases in pulmonary fluid and protein exchange produced by thrombin-induced intravascular coagulation. Seven sheep were infused intravenously with 0.05 micrograms X kg-1 X min-1 isoproterenol before infusion of alpha-thrombin, and six sheep were infused with alpha-thrombin only and served as control subjects. The marked increases in pulmonary lymph flow and lymph protein clearance in the control thrombin group were attenuated (P less than 0.05) in the isoproterenol group in association with a higher pulmonary blood flow (P less than 0.05) and a lower pulmonary vascular resistance (P less than 0.05) in the isoproterenol group and with similar increases in pulmonary arterial and pulmonary arterial wedge pressures in both groups. The decreases in fluid and protein fluxes produced by isoproterenol are related to its beta-adrenergic properties because propranolol, a beta-adrenergic antagonist, blocked the protective effects of isoproterenol in a second group of sheep infused with propranolol, isoproterenol, and thrombin. Raising left atrial pressure to test for changes in vascular permeability increased protein flux to a much greater extent in the thrombin control group than in the isoproterenol group challenged with thrombin. The data suggest that isoproterenol attenuated the increase in fluid and protein fluxes produced by thrombin-induced intravascular coagulation by a permeability-decreasing mechanism.     

Quantifying Single Microvessel Permeability in Isolated Blood-perfused Rat Lung Preparation

The isolated blood-perfused lung preparation is widely used to visualize and define signaling in single microvessels. By coupling this preparation with real time imaging, it becomes feasible to determine permeability changes in individual pulmonary microvessels. Herein we describe steps to isolate rat lungs and perfuse them with autologous blood. Then, we outline steps to infuse fluorophores or agents via a microcatheter into a small lung region. Using these procedures described, we determined permeability increases in rat lung microvessels in response to infusions of bacterial lipopolysaccharide. The data revealed that lipopolysaccharide increased fluid leak across both venular and capillary microvessel segments. Thus, this method makes it possible to compare permeability responses among vascular segments and thus, define any heterogeneity in the response. While commonly used methods to define lung permeability require postprocessing of lung tissue samples, the use of real time imaging obviates this requirement as evident from the present method. Thus, the isolated lung preparation combined with real time imaging offers several advantages over traditional methods to determine lung microvascular permeability, yet is a straightforward method to develop and implement.     

Platelet-activating factor increases lung vascular permeability to protein

We studied the effects of platelet-activating factor (PAF) on pulmonary hemodynamics and microvascular permeability in unanesthetized sheep prepared with lung-lymph fistulas. Since cyclooxygenase metabolites have been implicated in mediating these responses, we also examined the role of the cyclooxygenase pathway. PAF infusion (4 micrograms X kg-1 X h-1 for 3 h) produced a rapid, transient rise in pulmonary arterial pressure (Ppa), pulmonary vascular resistance (PVR), plasma thromboxane B2 concentration (TxB2), and pulmonary lymph flow (Qlym). The lymph-to-plasma protein concentration ratio (L/P) did not change from base line. Pretreatment with the cyclooxygenase inhibitor, sodium meclofenamate, prevented the generation of TxB2 and the hemodynamic changes but did not prevent the increase in Qlym. The estimated protein reflection coefficient decreased from a control value of 0.66 +/- 0.04 to 0.43 +/- 0.06 after PAF infusion. We also studied the effects of PAF on endothelial permeability in vitro by measuring the flux of 125I-albumin across cultured bovine pulmonary artery endothelial cells (EC) grown to confluency on a gelatinized micropore filter and mounted within a modified Boyden chemotaxis chamber. PAF (10(-8) to 10(-4) M) had no direct effect on EC albumin permeability, suggesting that the increase in permeability in sheep was not the direct lytic effect of PAF. In conclusion, PAF produces pulmonary vasoconstriction mediated by cyclooxygenase metabolites. PAF also increases pulmonary vascular permeability to protein that is independent of cyclooxygenase products and is not the result of a direct effect of PAF on the endothelium.     

A novel fluorescence-based cellular permeability assay

Vascular permeability is a pathologic process in many disease states ranging from metastatic progression of malignancies to ischemia-reperfusion injury. In order to more precisely study tissue, and more specifically cell layer permeability, our goal was to create a fluorescence-based assay which could quantify permeability without radioactivity or electrical impedance measurements. Human aortic endothelial cells were grown in monolayer culture on Costar-Transwell clear polyester membrane 6-well cell culture inserts. After monolayer integrity was confirmed, vascular endothelial growth factor (VEGF(165)) at varying concentrations with a fixed concentration of yellow-green fluorescent 0.04 microm carboxylate-modified FluoSpheres microspheres were placed in the luminal chamber and incubated for 24 h. When stimulated with VEGF(165) at 20, 40, 80, and 100 ng/ml, this assay system was able to detect increases in trans-layer flux of 8.2+/-2.4%, 16.0+/-3.7%, 41.5+/-4.9%, and 58.6+/-10.1% for each concentration, respectively. This represents the first fluorescence-based permeability assay with the sensitivity to detect changes in the permeability of a cell layer to fluid flux independent of protein flux; as well as being simpler and safer than previous radioactive-and impedance-based permeability assays. With the application of this in vitro assay to a variety of pathologic conditions, both the dynamics and physiology relating to cellular permeability can be more fully investigated.     

Lung and vascular function during chronic severe pulmonary ischemia

Bronchial vascular angiogenesis takes place in a variety of lung inflammatory conditions such as asthma, cystic fibrosis, lung cancer, and chronic pulmonary thromboembolic disease. However, it is unclear whether neovascularization is predominantly appropriate and preserves lung tissue or whether it contributes further to lung pathology through edema formation and inflammation. In the present study we examined airway and lung parenchymal function 14 days after left pulmonary artery ligation. In rats as well as higher mammals, severe pulmonary ischemia results in bronchial vascular proliferation. Using labeled microspheres, we demonstrated an 18-fold increase in systemic blood flow to the ischemic left lung. Additionally, vascular remodeling extended to the tracheal venules, which showed an average 28% increase in venular diameter. Despite this increase in vascularity, airways resistance was not altered nor was methacholine responsiveness. Since these measurements include the entire lung, we suggest that the normal right lung, which represented 78% of the total lung, obscured the ability to detect a change. When functional indexes such as diffusing capacity, in situ lung volume, and vascular permeability of the left lung could be separated from right lung, significant changes were observed. Thus when comparing average left lung values of rats 14 days after left pulmonary artery ligation to left lungs of rats undergoing sham surgery, diffusing capacity of the left lung decreased by 72%, left lung volume decreased by 38%, and the vascular permeability to protein increased by 58%. No significant differences in inflammatory cell recruitment were observed, suggesting that acute ischemic inflammation had resolved. We conclude that despite the preservation of lung tissue, the proliferating bronchial neovasculature may contribute to a sustained decrement in pulmonary function.     

Increased pulmonary vascular resistance and permeability due to arachidonate metabolism in isolated rabbit lungs

Liberation and metabolism of arachidonic acid may be the common final pathway of different stimuli on the pulmonary vascular bed. In a model of isolated, ventilated rabbit lungs, perfused with Krebs Henseleit albumin buffer in a recirculating system, changes of pulmonary vascular resistance and of vascular permeability are monitored continuously. The addition of free arachidonic acid or of the Ca-ionophore A 23187 to the perfusion fluid consistently evokes a biphasic increase in vascular resistance as well as an initially reversible increase in vascular permeability, followed by pulmonary edema. Both phases of increased vascular resistance are completely suppressed by inhibition of the cyclooxygenase, decreased to a large degree by inhibitors of thromboxane synthetase, and markedly augmented by short preincubation of arachidonic acid with ram seminal vesicular microsomes and by sulfhydryl reagents. The increased pulmonary vascular permeability is augmented by inhibition of cyclooxygenase and reduced by simultaneous lipoxygenase inhibition. Antagonists of histamine, serotonin and sympathic or parasympathic activity do not have any influence. PG F2alpha., TxB2, PG E2 and PG I2 alter the pulmonary vascular resistance, but do not increase vascular permeability. In conclusion, increased availability of free arachidonic acid evokes a rise in pulmonary vascular resistance, which can be ascribed to cyclooxygenase products, especially to thromboxane, and causes a rise in vascular permeability which can be ascribed to lipoxygenase products. The findings may be related to acute pulmonary lesions with increase in vascular resistance and with vascular leakage.     

Effects of nonideal input functions on PET measurements of pulmonary blood flow.

Regional pulmonary blood flow (rPBF) can be measured with an intravenous infusion of 15O-labeled water and positron emission tomography (PET). The current method depends on two assumptions related to the input of activity to the lung during the scan: 1) the pulmonary arterial tracer input is constant (i.e., a "step function" in shape), and 2) the scan begins at the instant of arrival of the step function. To determine the effect that departures from these assumptions might have on the measurement of rPBF, we performed a series of mathematical simulations for three different input functions: 1) a step function that arrived either 1 or 2 s before or after scan start; 2) a dispersed input function, with activity rising during the scan period; and 3) a combination of these two errors. Calculated values, based on the standard assumptions, were compared against the "known" values used in generating the simulated data. The results show that timing errors associated with starting the scan late cause an overestimation of rPBF, whereas timing errors due to low regional flow or departures from the assumed step input function both cause an underestimation of true rPBF. Thus, in actual practice, the combined errors probably partially offset one another. Except for states of truly high rPBF and low lung density, the errors remain less than 15% of the true value. We conclude that PET measurements of rPBF are not highly sensitive to these presumably common departures from the assumed pulmonary arterial input function to lung regions of interest.     

Increased pulmonary vascular resistance and permebility due to arachidonate metabolism in isolated rabbit lungs

Liberation and metabolism of arachidonic acid may be the common final pathway of different stimuli on the pulmunary vascular bed. In a model of isolated, ventilated rabbit lungs, perfused with krebs Henseleit albumin buffer in a recirculating system, changes of pulmonary vascular resistance and of vascular permeability are monitored continously. The addition of free arachidonic acid or of the Ca-ionophore A 23187 to the perfusion fluid consistently evokes a biphasic increases in vascular resistance as well as an initially reversible increase in vascular permeability, followed by pulmonary edema. Both phases of increased vascular resistance are completely suppressed by inhibition of the cyclooxygenase, decreased to a large degree by inhibitors of thromnoxane synthetase, and markedly augmented by short preincubation of arachidonic acid with ram seminal vescular microsomes and by sulfhydryl reagents. The increased pulmonary vascular permeability is augmented by inhibition of cyclooxygenase and reduced by simulteneous lipoxygenase inhibition. Antagonists of histamine, serotonin and sympathic or parasympathic activity do not have any influence.PG F_2α, TxB E₂ and PG I₂ alter the pulmonary vascular resistance, but do not increase vascular permeability.In inclusion, increased availability of free arachidonic acid evokes a rise in pulmonary vascular resistance, which can be ascribed to cyclooxygenase products, especially to thromboxane, and causes a rise in vascular permeability which can be ascribed to lipoxygenase products.The findings may be related to acute pulmonary lesions with increase in vascular resistance and with vascular leakage.     

Effect of regional pulmonary blood flow on extravascular lung water measurements with PET

We examined the effect of regional pulmonary blood flow (PBF) on lung water measurements made with a blood-borne label (15O-water) and positron emission tomography (PET) in five dogs. The total lung water (TLW) content of a lung region obtained at equilibrium after intravenous injection of 15O-water (TLW-water) was compared with calculations made from lung density measurements (TLW-density) also obtained with PET. These latter measurements are proportional to the tissue attenuation of radioactivity originating from an external source encircling the animal and are independent of PBF. Comparisons were made before and 60 min after oleic acid-induced injury confined to the left caudal lobe (LCL). PBF fell 61% in regions from the dorsal half of the LCL after lung injury and was unchanged on the right side. Both before and after injury, TLW-density was 10-15% higher than TLW-water. This systematic difference is probably due to overestimates of TLW-density resulting from partial volume and scattered radiation effects. When TLW-water and TLW-density were compared in 151 3-ml regions from both normal and injured lung, the disparity between the two methods of calculating TLW increased in regions with a PBF less than 0.5 ml.min-1.ml lung-1 (less than 20% of base line). However, this represented only 22% of the injured regions analyzed. Thus lung water measurements made with PET and 15O-water are accurate until regional PBF is severely reduced. With PET, such areas can be eliminated from analysis or regions can be made sufficiently large so the overall effect on the TLW measurement is minimized.     

The propagation of errors in long-term measurements of land-atmosphere fluxes of carbon and water

For surface fluxes of carbon dioxide, the net daily flux is the sum of daytime and nighttime fluxes of approximately the same magnitude and opposite direction. The net flux is therefore significantly smaller than the individual flux measurements and error assessment is critical in determining whether a surface is a net source or sink of carbon dioxide. For carbon dioxide flux measurements, it is an occasional misconception that the net flux is measured as the difference between the net upward and downward fluxes (i.e. a small difference between large terms). This is not the case. The net flux is the sum of individual (half-hourly or hourly) flux measurements, each with an associated error term. The question of errors and uncertainties in long-term flux measurements of carbon and water is addressed by first considering the potential for errors in flux measuring systems in general and thus errors which are relevant to a wide range of timescales of measurement. We also focus exclusively on flux measurements made by the micrometeorological method of eddy covariance. Errors can loosely be divided into random errors and systematic errors, although in reality any particular error may be a combination of both types. Systematic errors can be fully systematic errors (errors that apply on all of the daily cycle) or selectively systematic errors (errors that apply to only part of the daily cycle), which have very different effects. Random errors may also be full or selective, but these do not differ substantially in their properties. We describe an error analysis in which these three different types of error are applied to a long-term dataset to discover how errors may propagate through long-term data and which can be used to estimate the range of uncertainty in the reported sink strength of the particular ecosystem studied.