Firmness is a very important quality property in peach. The storage of peach affects its subsequent softening process and shelf life. The temperature and duration of storage mainly influence the firmness of stored fruit, and monitoring the evolution of fruits enables producers to manage its commercial life. The objective of the present study was to use non-destructive acoustic and impact tests to estimate firmness of peaches and to elucidate the influence of storage temperature and of time on the softening process of peach. Continuous and classification models based on variables obtained from non-destructive methods were developed. Parameters obtained from non-destructive methods were compared to destructive reference tests. The maximum force in ball compression correlated well with the maximum acceleration from impact test ( r 2 = 0.75), and with a band magnitude parameter from acoustic test ( r 2 = −0.71). Combining impact and acoustic parameters, the multiple correlation coefficient increases up to 0.91 (adjusted R 2 = 0.82) in the prediction of the maximum force in ball compression. Classification models based on both non-destructive parameters and sorting peaches into two classes of firmness, showed scores of well classified higher than 90%. Keywords Non-destructive methods Fruit quality Firmness Peach Acoustic technique Impact technique 1 Introduction Firmness is a very important quality property in peach. Determination of the storage time effect on the evolution of this quality is a desirable objective for producers, distributors and market agents, who need reliable firmness measuring instruments for commercial purpose. Previous studies carried out by different researchers show that impact techniques can be used to evaluate firmness of fruits successfully ( Chen & Ruiz-Altisent, 1993; Delwiche, Arévalo, & Mechlschau, 1996; Jarén, Ruiz-Altisent, & Pérez de Rueda, 1992 ). The force response of an elastic sphere impacting a rigid surface is governed by the impacting velocity, mass, radius of curvature, elastic modulus, and Poisson’s ratio of the sphere. It had being found that the impact of a fruit on a rigid surface can be closely modelled by the impact of an elastic sphere and that the firmness of a fruit has a direct effect on the impact force response. A problem inherent to the technique of dropping the fruit on a force sensor is that the impact force is also a function of the mass and radius of curvature of the fruit. A different approach has been to impact the fruit with a small spherical impactor of known mass and radius of curvature and measure the acceleration of the impactor. The advantage of this method is that the measured impact-acceleration response is independent of the fruit mass and is less sensitive to the variation of the radius of curvature of the fruit. An impact device for firmness testing of fruits was developed by Chen and Ruiz-Altisent (1996) . It consisted of a semi-spherical impacting tip attached to the end of a pivoting arm. Impact is done by swinging the impactor to collide laterally with the tested object. A small accelerometer is mounted behind the impacting tip. Further versions have been developed at the Physical Properties Laboratory (LPF) to obtain systems with better data resolution, signal-noise ratio and precision ( Diezma et al., 2000 ): “LPF-Lateral Impact Sensor 2.0”. This lateral impact sensor has been modified and installed in an experimental fruit packing line ( García-Ramos et al., 2003; Homer, 2003 ). An on-line impactor, based on a spherical tip impacting vertically on fruit using aerodynamic impulse is commercially available ( Valero, García-Ramos, De Merlo, Ruiz-Altisent, & Howarth, 2004 ). In biological tissues, vibrational behaviour of fruits has been used as an indicator of maturity and post-harvest ripeness based on the elastic properties of the tissue. Non-destructive techniques using sonic characteristics of the fruit tissue have been applied for measuring firmness and for detecting internal disorders in several products such as apples, pears, avocados and melons. Determination of the natural frequencies of fruits and vegetables as a mean of measuring firmness has been suggested by several authors ( Armstrong, Stone, & Brusewitz, 1997; De Baerdemaeker, Lemaitre, & Meire, 1982; De Belie, Schotte, Coucke, & De Baerdemaeker, 2000; Farabee & Stone, 1991 ). According to theory, resonant frequencies of a specimen are also proportional to its dimensions, density and Poisson’s ratio. Several authors have used mass to approximate the combination of density and dimensions in order to avoid these influences in the estimation of firmness by vibrational methods, different stiffness coefficients have been applied. A first stiffness coefficient was proposed from experimental results, which include resonant frequency and mass, f 2 (m) ( Abbott, Bachman, Childers, & Fitzgerald, 1968 ). Based on the spherical resonator model other stiffness coefficient has been calculated as f 2 (m 2/3 ) ( Cooke, 1972 ). A device developed at the Katholieke Universiteit Leuven (Belgium) is being developed into an on-line sensor ( De Ketelaere, Ruiz-Altisent, Correa, De Baerdemaeker, & Barreiro, 2001 ). At LPF a device, composed mainly by a microphone, a signal conditioning amplifier, a data acquisition card, structural elements, and a component to produce the mechanical impact was designed and tested in order to detect internal discontinuities in watermelon ( Diezma, Ruiz-Altisent, & Orihuel, 2002; Diezma, 2003 ). Firmness in peaches can be an indicator of immaturity or overmaturity. Excessive firmness indicates an immature peach with little free juice. An overmature, soft peach can be excessively juicy and prone to bruises. Previous investigations of non-destructive firmness measurement for peaches utilized impact parameters of a fruit that was bounced onto a load cell ( Delwiche, MacDonald, &...